how does the difference between fe and fo influence the outcome of a chi-square test? a. the larger the difference, the larger the value of chi-square and the greater the likelihood of rejecting the null hypothesis. b. the larger the difference, the larger the value of chi-square and the lower the likelihood of rejecting the null hypothesis. c. the larger the difference, the smaller the value of chi-square and the greater the likelihood of rejecting the null hypothesis. d. the larger the difference, the smaller the value of chi-square and the lower the likelihood of rejecting the null hypothesis.

Answers

Answer 1

In a chi-square test, the  influence of the difference between fe and fo to the outcome is: "the larger the difference, the larger the value of chi-square and the lower the likelihood of rejecting the null hypothesis." (option b)

In a chi-square test, the test statistic (chi-square) measures the difference between the observed frequencies (fe) and the expected frequencies (fo) under the null hypothesis. The larger the difference between fe and fo, the larger the value of chi-square.

When the chi-square value is larger, it indicates a larger discrepancy between the observed and expected frequencies. This suggests that the data deviates more from what would be expected under the null hypothesis.

In a chi-square test, we compare the chi-square value to a critical value to determine whether to reject or fail to reject the null hypothesis. A larger chi-square value makes it less likely to reject the null hypothesis because it indicates a smaller likelihood of the observed data being due to chance.

Therefore, the correct answer is option b.

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Related Questions

Solve for x. The segments labeled in the picture are tangents.
A
2
00
7
3
D
9

Solve for x. The segments labeled in the picture are tangents.A20073D9

Answers

Answer:

4x-3

Step-by-step explanation:

From the length of two tangents 2x + 16 and 4x - 2. The value of x is 9.

The length of one tangent is 2x + 16.

The length of the other tangent is 4x - 2.

Theorem on the length of a tangent

The length of two tangents drawn from an external point to a circle is equal. Let's suppose AP and AQ are two tangents from point A to a circle then AP = AQ.

Consider the length of one tangent to be AP and the other tangent to be AQ from a points A to a circle.

So, from the above theorem, we get

AP = AQ

\(\rm 4x-2=2x+16\\\rm 4x-2x=16+2\\\rm 2x=18\\\rm x=9\)

Therefore, from the length of two tangents 2x + 16 and 4x - 2. The value of x is 9.

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The equation of the line of best fit of a scatter plot is y = −4x − 6. What is the the y-intercept?

Answers

Answer:

Step-by-step explanation: its -6

Answer:

Root  (1.5,0)

Step-by-step explanation:

A roulette wheel consists of 38 slots, numbered 0, 00, 1, 2,. , 36. To play the game, a metal ball is spun around the wheel and allowed to fall into one of the numbered slots. The slots numbered 0 and 00 are green, the odd numbers are red, and the even numbers are black. (a) Determine the probability that the metal ball falls into a green slot. Interpret this probability. (b) Determine the probability that the metal ball falls into a green or a red slot. Interpret this probability. (c) Determine the probability that the metal ball falls into 00 or a red slot. Interpret this probability (d) Determine the probability that the metal ball falls into the number 31 and a black slot simultaneously. What term is used to describe this event? (a) P(green) = ___ (Type an integer or decimal rounded to four decimal places as needed. ) If the wheel is spun 100 times, one would expect about __ spin(s) to end with the ball in a green slot. (Round to the nearest integer as needed. ) (b) P(green or red) = ___

(Type an integer or decimal rounded to four decimal places as needed. ) If the wheel is spun 100 times, one would expect about __ spin(s) to end with the ball in either a green or red slot. (Round to the nearest integer as needed. ) (c) P(00 or red)= ___ (Type an integer or decimal rounded to four decimal places as needed. )

Answers

(a). There is a 5.26% chance that the metal ball falls into a green slot.

(b). There is a 52.63% chance that the metal ball falls into either a green or a red slot on any given spin of the roulette wheel.

(c). P(00 or red)  ≈ 0.5263

(d). This event is called impossible.

(a) P(green) = 2/38 = 1/19 ≈ 0.0526.

This means that there is a 5.26% chance that the metal ball falls into a green slot on any given spin of the roulette wheel.

If the wheel is spun 100 times, one would expect about 5 spins to end with the ball in a green slot. (Expected value = 100 x P(green) = 100/19 ≈ 5.26, which we round to the nearest integer.)

(b) P(green or red) = P(green) + P(red) = 2/38 + 18/38 = 20/38 ≈ 0.5263. This means that there is a 52.63% chance that the metal ball falls into either a green or a red slot on any given spin of the roulette wheel.

If the wheel is spun 100 times, one would expect about 53 spins to end with the ball in either a green or red slot. (Expected value = 100 * P(green or red) = 2000/38 ≈ 52.63, which we round to the nearest integer.)

(c) P(00 or red) = P(00) + P(red) = 2/38 + 18/38 = 20/38 ≈ 0.5263. This means that there is a 52.63% chance that the metal ball falls into either 00 or a red slot on any given spin of the roulette wheel.

(d) The probability that the metal ball falls into the number 31 and a black slot simultaneously is zero, since 31 is an odd number and all odd numbers are red on the roulette wheel. This event is called impossible.

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284 + 0 = 284 is an example of which property?

Answers

This would be the Identity Property :)

Please help:) I really need help

Please help:) I really need help

Answers

Answer:

.translation(x, y)  →(x+h, y+k)

reflection of (x,y)→(−x,y) on y-axis

reflection of (x,y)→(x,-y) on x-axis

Show that if two n × n matrices A and B have a
common eigenvector x (but not necessarily a common
eigenvalue), then x will also be an eigenvector
of any matrix of the form C = αA + βB.

Answers

To show that if two n × n matrices A and B have a common eigenvector x, then x will also be an eigenvector of any matrix of the form C = αA + βB, we can use the definition of eigenvectors and some basic algebra.

First, let v be the common eigenvector of A and B, such that Av = λv and Bv = μv for some eigenvalues λ and μ. Then, consider the matrix C = αA + βB. We can rewrite this as C = αAv + βBv, and substitute in the expressions for Av and Bv in terms of v:

C = αλv + βμv = (αλ + βμ)v

Thus, we see that Cv = (αλ + βμ)v, which shows that x is an eigenvector of C with eigenvalue αλ + βμ. Therefore, any common eigenvector of A and B is also an eigenvector of any linear combination of A and B.

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Can’t figure this out. please help !!

Cant figure this out. please help !!

Answers

Answer:

Hello!

Welcome to Brainly :D

      My name is Euijin and the Answer is:

1. 1

2. -3

Or you can use it Backwards.

Step-by-step explanation:

Assume that you knew that the value of the coins totaled $62.00. What is one possible combination of pennies
and quarters that sum to $62.00.

Answers

Answer:

Step-by-step explanation:Imagine taking a handful of coins from your pocket or purse and placing them on your desk. How would you determine the value of that pile of coins?

If you can form a step-by-step plan for finding the total value of the coins, it will help you as you begin solving coin word problems.

One way to bring some order to the mess of coins would be to separate the coins into stacks according to their value. Quarters would go with quarters, dimes with dimes, nickels with nickels, and so on. To get the total value of all the coins, you would add the total value of each pile.

Describe the likelihood of the situation. Use likely, unlikely, neither likely nor unlikely, certain, or impossible.
The next baby born at a hospital is a girl.
What best describes thelikelihood of the statement?


Please hurry
Giving BRAINLYest

Describe the likelihood of the situation. Use likely, unlikely, neither likely nor unlikely, certain,

Answers

Answer is neither likely nor unlikely, because there is a 50% chance of it happening
Neither likely nor unlikely

It cannot be predicted, theres a 50/50 chance.

Water is poured into a large, cone-shaped cistern. The volume of water, measured in cm3, is reported at different time intervals, measured in seconds. The scatterplot of volume versus time showed a curved pattern.

Which of the following would linearize the data for volume and time?

Seconds, cm3
ln(Seconds), cm3
Seconds, ln(cm3)
ln(Seconds), ln(cm3)

Answers

The transformation that would linearize the data for volume and time is ln(Seconds), ln(cm3).

The correct option is (D)

To determine which transformation will linearize the data, we can look at the form of the relationship between volume and time in the scatterplot. Since the pattern is curved, it suggests that the relationship may be exponential. Therefore, we can try taking the logarithm of the volume or the time or both and see which transformation produces a linear relationship.

A) Seconds, cm3: This transformation does not involve taking the logarithm of either variable, so it is unlikely to linearize the relationship.

B) ln(Seconds), cm3: This transformation takes the natural logarithm of the time variable. It may help to linearize the relationship if the relationship is exponential with respect to time.

C) Seconds, ln(cm3): This transformation takes the natural logarithm of the volume variable. It is unlikely to linearize the relationship because it does not address the potential exponential relationship with respect to time.

D) ln(Seconds), ln(cm3): This transformation takes the natural logarithm of both variables. It is a good choice because it can linearize an exponential relationship between the two variables.

Therefore, the transformation that would linearize the data for volume and time is D) ln(Seconds), ln(cm3).

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a string that contains only 0s, 1s, and 2s is called a ternary string. find a recurrence relation for the number of ternary strings of length n that do not contain two consecutive 0s. what are the initial conditions?

Answers

A recurrence relation for the number of ternary strings of length n that do not contain two consecutive 0s : T(n) = 2T(n-1) + T(n-2) and the initial conditions are : T(1) = 3 and T(2) = 9 .

Let T(n) be the number of ternary strings of length n that do not contain two consecutive 0s.

Consider a ternary string of length n. The last digit can be either 0, 1, or 2. If the last digit is 1 or 2, then we can append either 0, 1, or 2 to any string of length n-1 that does not end in 0 to get a string of length n that does not contain two consecutive 0s. Therefore, the number of such strings of length n is 2T(n-1).

If the last digit is 0, then the second-to-last digit must be 1 or 2, and the rest of the string of length n-2 can be any string of length n-2 that does not end in 0. Therefore, the number of such strings of length n is T(n-2).

Putting these cases together, we get the recurrence relation:

T(n) = 2T(n-1) + T(n-2)

with initial conditions:

T(1) = 3 (0, 1, or 2)

T(2) = 9 (00 is not allowed, but each of the other two digits can be followed by any of the three digits)

Therefore, the number of ternary strings of length n that do not contain two consecutive 0s can be calculated using the recurrence relation T(n) = 2T(n-1) + T(n-2), with initial conditions T(1) = 3 and T(2) = 9.

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PLEASE HELP ME PLEASE HELP HURRY

PLEASE HELP ME PLEASE HELP HURRY

Answers

Answer:

Step-by-step explanation:

\(.\frac{5}2} w-11 > =31\)

or \(.\frac{5}{2} w +11 > =31\)

there can be another way to solve the situtation

please if you can answer asap: When the vertical line test shows that there is one and only one range item for each domain item we call that relationship what?​

Answers

Answer:

the relationship is a function....

In group theory, you met the six-element abelian group Z2 X Z3 = {(0,0,(0,1),(0,2),(1,0),(1,1),(1,2)} with group operation given by componentwise addition (mod 2 in the first component and mod 3 in the second component). In this question you are going to investigate ways in which this could be equipped with a multiplication making it into a ring. (a) Using the fact that (1,0) +(1,0) = (0,0), show that (1,0)(1,0) is either (1,0) or (0,0). (Hint: you could use the previous question.) (b) What does the fact that (0,1)+(0,1)+(0,1) = (0,0) tell you about the possible values of (0,1)0,1)? (c) What are the possible values of (1,00,1)? (d) Does there exist a field with 6 elements? 3. Let R be a ring and a, b ϵ R. Show that (a) if a + a = 0 then ab + ab = 0 (b) if b + b = 0 and Ris commutative then (a + b) ² = a² + b².

Answers

(a) shows that (1,0)(1,0) is either (1,0) or (0,0), (b) indicates that (0,1)(0,1) is equal to (0,0) or (1,0), (c) determines that the only possible value of (1,0)(0,1) is (0,0), and (d) concludes that there does not exist a field with 6 elements.

(a) Using the fact that (1,0) + (1,0) = (0,0), we can show that (1,0)(1,0) is either (1,0) or (0,0) as follows:

Let's assume that (1,0)(1,0) = (1,0). Then we have (1,0) + (1,0) = (0,0) by the definition of multiplication in the ring. However, this contradicts the fact that (1,0) + (1,0) = (0,0). Therefore, the assumption is false.

Now, let's assume that (1,0)(1,0) = (0,0). Then we have (1,0) + (1,0) = (1,0) by the definition of multiplication in the ring. This is consistent with the fact that (1,0) + (1,0) = (0,0). Therefore, (1,0)(1,0) must be (0,0).

(b) The fact that (0,1) + (0,1) + (0,1) = (0,0) tells us that (0,1)(0,1) is equal to (0,0). This is because the addition operation in the ring is defined as componentwise addition (mod 2 in the first component and mod 3 in the second component). Therefore, the possible values of (0,1)(0,1) are (0,0) or (1,0).

(c) The possible values of (1,0)(0,1) can be determined by the distributive property of multiplication over addition in the ring. Using the fact that (1,0)(1,0) is either (1,0) or (0,0) (as shown in part (a)), we have:

(1,0)(0,1) = (1,0)(1,0) + (1,0)(1,0) = (1,0) + (1,0) = (0,0).

Therefore, the only possible value of (1,0)(0,1) is (0,0).

(d) No, there does not exist a field with 6 elements. A field is a commutative ring where every nonzero element has a multiplicative inverse. However, in the given six-element ring Z2 X Z3, not all nonzero elements have multiplicative inverses. For example, the element (0,1) does not have a multiplicative inverse since there is no other element (a,b) such that (0,1)(a,b) = (1,0). Therefore, this ring cannot be a field.

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The perimeter of a rectangle is 77cm. The length is 6 times the width. Find the width and length of the rectangle. HELPPP I’m stuck on this

Answers

Answer:

462

Step-by-step explanation:

multiple 77x6

Answer:

The width is 5.5cm.

The length is 33cm.

Step-by-step explanation:

Since the length is 6 times the width, \(l=6w\) (l represents the length and w represents the width.)

Perimeter = Length + Length + Width + Width = \(6w+6w+w+w=14w\)

Since the perimeter is 77cm,

\(14w=77\)

Divide both sides by 14:

\(\frac{14w}{14}=\frac{77}{14}\)

\(w=5.5\)

The width is 5.5cm.

We know that the length is 6 times the width,

so the length = \(6\times 5.5=33\).

The length is 33cm.

There are functions of the form x^{r} that solve the differential equation x²y"-6xy' + 10 y=0
Give the solution to the initial value problem [x²y"-6xy' + 10 y=0 y(1)=0 y'(1)=3]

Answers

The solution in mathematical notation:

y = x² - 1

The differential equation x²y"-6xy' + 10 y=0 is an Euler equation, which means that it can be written in the form αx² y′′ + βxy′ + γ y = 0. The general solution of an Euler equation is of the form y = x^r, where r is a constant to be determined.

In this case, we can write the differential equation as x²(r(r - 1))y + 6xr y + 10y = 0. If we set y = x^r, then this equation becomes x²(r(r - 1) + 6r + 10) = 0. This equation factors as (r + 2)(r - 5) = 0, so the possible values of r are 2 and -5.

The function y = x² satisfies the differential equation, so one solution to the initial value problem is y = x². The other solution is y = x^-5, but this solution is not defined at x = 1. Therefore, the only solution to the initial value problem is y = x².

To find the solution, we can use the initial conditions y(1) = 0 and y'(1) = 3. We have that y(1) = 1² = 1 and y'(1) = 2² = 4. Therefore, the solution to the initial value problem is y = x² - 1.

Here is the solution in mathematical notation:

y = x² - 1

This solution can be verified by substituting it into the differential equation and checking that it satisfies the equation.

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Solve for x, rounding to the nearest hundredth.

29 ⋅ 10^5x = 88

Answers

Fοr x rοunding tο the nearest hundredth the value οf x = 0.115.

What is lοgarithm?  

The pοwer tο which a number must be increased in οrder tο οbtain additiοnal values is referred tο as a lοgarithm. The easiest apprοach tο express enοrmοus numbers is this manner.

Many significant characteristics οf a lοgarithm demοnstrate that additiοn and subtractiοn lοgarithms may alsο be represented as multiplicatiοn and divisiοn οf lοgarithms. "The lοgarithm οf a pοsitive real integer, nοt equal tο οne, a, with regard tο base b

The given expressiοn is:

10⁵ˣ = 88

Taking lοg οn bοth sides we have:

lοg(10⁵ˣ) = lοg(88)

Using the pοwer rule:

5x * lοg(10) = lοg(88)

5x = lοg(88)

x = lοg(88) / 5

x = 0.115

Hence, rοunding tο the nearest hundredth the value οf x = 0.115.

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The original price for a piece of machinery is $150,000. If the piece of machinerydecreases in value by 22.5% each year, which graph models the value of the piece of machinery after x years?

Answers

The correct graph that models this exponential decay would show a decreasing trend as x (the number of years) increases. we need to consider the information given regarding its decrease in value.

The piece of machinery decreases in value by 22.5% each year. This means that its value after one year is \(100\% - 22.5\% = 77.5\%\) of its original value. In other words, its value is 0.775 times its original value.

To model the value of the machinery after x years, we need to consider the exponential decay function. The general form of an exponential decay function is:

y = \(a(1 - r)^x\)

Where:

- y represents the value after x years.

- a represents the initial value.

- r represents the decay rate (expressed as a decimal).

In this case, the initial value (a) is $150,000 and the decay rate (r) is 22.5% or 0.225.

Therefore, the equation representing the value of the piece of machinery after x years would be:

y = \(\$150,000 * (1 - 0.225)^x\)

Simplifying the equation further, we have:

y = \(\$150,000 * (0.775)^x\)

From this equation, we can see that the value of the machinery decreases exponentially over time. The correct graph that models this exponential decay would show a decreasing trend as x (the number of years) increases.

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15 is what percent of 40

Answers

The correct representation of the sentence 15 is what percent of 40 is 15 is 37.5% of 40.

What are percentages?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

The algebraic representation of the statement 15 is what percent of 40 is:

40 (x/100) = 15

40x / 100 = 15

40x = 1500

x = 1500/40

x = 37.5

Hence, the correct representation of the sentence 15 is what percent of 40 is 15 is 37.5% of 40.

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Kayla is normally paid $15. 00 hour. She gets paid time and a half (11/2) for every hour over 40. What is her pay rate for every overtime hour? *
A. 1. 5
B. 600
C. 22. 50
D. 15. 50​

Answers

Answer:

$22.50

Step-by-step explanation:

Kayla's base pay rate is $15.00 per hour. To calculate her overtime pay rate, we need to determine her time and a half rate for any hours worked over 40.

Time and a half means that she is paid 1.5 times her regular hourly rate for each overtime hour.

First, we need to determine how much Kayla is paid for one hour of overtime:

Time and a half rate = $15.00 x 1.5 = $22.50 per hour

Now we know that Kayla is paid $22.50 per hour for each overtime hour worked.

Can you provide the solution for this exercise?

Let u(w) = −(b − w)c. What restrictions on w, b, and c are required to ensure that u(w) is strictly increasing and strictly concave? Show that under those restrictions, u(w) displays increasing absolute risk aversion.

Answers

under the restrictions that c is negative to ensure strict concavity, the utility function u(w) = -(b - w)c displays increasing absolute risk aversion.

To ensure that u(w) is strictly increasing, we need the derivative of u(w) with respect to w to be positive for all values of w. Taking the derivative, we have du(w)/dw = -c. For u(w) to be strictly increasing, -c must be positive, which implies c must be negative.

To ensure that u(w) is strictly concave, we need the second derivative of u(w) with respect to w to be negative for all values of w. Taking the second derivative, we have d²u(w)/dw² = 0. Since the second derivative is constant and negative, u(w) is strictly concave.

Now, let's examine the concept of increasing absolute risk aversion. If a utility function u(w) exhibits increasing absolute risk aversion, it means that as wealth (w) increases, the individual becomes more risk-averse.

In the given utility function u(w) = -(b - w)c, when c is negative (as required for strict concavity), the absolute risk aversion increases as wealth (w) increases. This is because the negative sign implies that the utility function is concave, indicating that the individual becomes more risk-averse as wealth increases.

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A 60-minute tissue compartment requires _____________ to fill or empty completely, while a 120-minute compartment requires _____________.
a. 1 hour/2 hours
b. 2 hours/4 hours
c. 6 hours/12 hours
d. 12 hours/24 hours

Answers

A 60-minute tissue compartment requires 6 hours to fill or empty completely, while a 120-minute compartment requires 12 hours.

The term "half-time" is simply a way of expressing the "exponential relationship."

The decompression theory it's used to describe how quickly a tissue compartment will fill or empty.

For example, a tissue compartment described as having a "2-minute halftime" will fill (or empty) half of the total amount of nitrogen it can hold in five minutes.

In two more minute it will be 75% full; in two one minutes 87.5%; in five more 93.6%; in two more 96.9% and finally in six half-times (12 minutes total) the compartment is considered full (or empty) at 98.4% of its capacity.

So, a 60-minute tissue will completely fill or empty in 6 hours (60 x 6 = 360 mins. or 6 hours).

A 120-minute tissue compartment will fill or empty in 12 hours (120 x 6 = 720 mins. or 12 hours).

Thus, A 60-minute tissue compartment requires 6 hours to fill or empty completely, while a 120-minute compartment requires 12 hours.

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Question 16.
Car A left Melbourne for Adelaide at 11:00 a.m. and travelled at an average speed of 70 km/h.

Car B left Melbourne for Adelaide at 1:00 p.m. on the same day and traveled at an average speed of 90 km/h. At what time will Car B catch Car A?

Answers

answer:8:00pm
solution in photo

help pls i beg youuu

help pls i beg youuu

Answers

Answer:

height = 10 m

Step-by-step explanation:

base area of rectangular pyramid =180 m^2

volume of rectangular pyramid = lwh/3

600 = 180*h/3

600*3 = 180*h

1800/180 =h

10 = h

Answer:

I think the answer to the question is 10

i really need help , can anybody please help me???

i really need help , can anybody please help me???

Answers

Answer:no, there are always other ways. LIke this y> x.

Step-by-step explanation:

I use schoology too

A software company is interested in improving customer satisfaction rate from the 64% currently claimed. the company sponsored a survey of 125 customers and found that 89 customers were satisfied. what is the test statistic z?

Answers

The test statistic-z or z-score will be 1.635.

What is test statistic-z?

A z-score, also known as a z-statistic, is a number that represents how many standard deviations above or below the mean population a z-test score is. It is essentially a numerical measurement that describes the relationship of a value to the mean of a collection of values. A z-score of 0 implies that the data point's score is the same as the mean score. A z-score of 1.0 indicates that the result is one standard deviation from the mean. Z-scores can be positive or negative, with a positive number indicating that the score is higher than the mean and a negative value indicating that it is lower than the mean.

Let p indicate the proportion of customers who are satisfied.

P=0.64

n=number of customers surveyed =125

x=number of satisfied consumers in the survey=89

p=89/125=0.71

The test statistic-z is calculated using the following formula,

z=(p-P)/√(P(1-P)/n)

=(0.71-0.64)/√0.64(1-0.64)/125

=0.07/√0.00184

=0.07/0.0428

=1.635

The test statistic-z is 1.635

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what do I do and how do I do it ???​

what do I do and how do I do it ???

Answers

Answer:

D

Step-by-step explanation:

Maths

I’ll give the brainiest

MathsIll give the brainiest

Answers

Answer:

x= 4/5

y= 2/5

Step-by-step explanation:

3x-y=2

2x+y=5

solve them so that they are in y=mx+b form

3x-y-3x=2-3x

-y= -3x+2

y= 3x -2

2x+y -2x= 2-2x

y= -2x+2

now use the substitution method to get your points

3x -2= -2x+2

3x -2+2= -2x+2+2

3x= -2x+4

3x+2x= -2x+4+2x

5x=4

x= 4/5

now substitute x into any of the 2 equations

y= 3x -2

y= 3(4/5) -2

y= 2 2/5 -2

y= 2/5

Hope this helped!

Mr. Smith works on the 12th floor of a 15 floor building. The only elevator moves continuously through floors 1, 2, . . . , 15, 14, . . . , 2, 1, 2, . . . , except that it stops on a floor on which the button has been pressed. Assume that time spent loading and unloading passengers is very small compared to the travelling time. Mr. Smith complains that at 5pm, when he wants to go home, the elevator almost always goes up. Does Mr. Smith have a point

Answers

Think of it this way. The elevator could be on

floor 1 moving up

floor 2 moving up

floor 2 moving down

floor 3 moving up

floor 3 moving down

floor 4 moving up

floor 4 moving down

5 up

5 down

6 up

6 down

7 up

7 down

8 up

8 down

9 up

9 down

10 up

10 down

11 up

11 down

12 up

12 down

All of these would mean that the guy on the 13th floor would get on an elevator that was moving up.

The rest

13 moving up

13 moving down

14 moving up

14 moving down

15moving down

13 up is still moving up but the other 4 possibilities is the only way for the elevator to be coming down when he gets on.

So there are 28 possibilities and only 4 where the guy is lucky. So the probability that he gets an elevator coming down is 4/28 or 1/7....leaving 6/7 that the elevator is moving up.

As for the second part of your question, Since the elevators are independent and you are asking only about one of the elevators, each one of those elevators moves up 6/7 of the time, regardless of how many elevators.

Now if the question said that you had 7 elevators stop on the floor all at the same time, the probability would say that 1 of the seven would be going down.

To learn more about probability from the given equation

https://brainly.com/question/24756209

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Which measure is of an angle that is coterminal with a 95° angle?

Answers

Answer:

95° - (1,080 n) °, for any integer n

Step-by-step explanation:

Co-terminal angle are those angles who share the same initial side and terminal sides,

And, these angles are obtained by adding or subtracting the multiple of 360°,

That is, if Ф is an angle,

Then its co-terminal angles are,

Ф + 360 n

Where, n is any integer (negative or positive)

Here, Ф = 95°,

Since, n is an integer,

⇒ - 3n is an integer,

Thus, the co-terminal angles of 95° are,

95° + 360° (-3n)

= 95° - (1080 n) °; for any integer n.

Step-by-step explanation:

Hope this helps!~

And I hope this is what you where looking for.

Good Luck!~

Answer:

B. 95° – (1,080n)°, for any integer n

Step-by-step explanation:

Correct on EDGE 2021!

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