Answer:14
Step-by-step explanation: :D
-5 / -2 = 2.5
35 / 2.5 = 14
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In addition to behind-the-wheel tests, states require written tests before issuing drivers licenses. The failure rate for the written driving test in Florida is about 60 percent. Suppose three drivers’ license test-takers in Florida are randomly selected. Find the probability of the following:
a. all three fail the test
b. none fail the test
c. only one fails the test
Probability is a measure of how likely an event is to occur. It is a value between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain to occur.
In this case, we're looking at the probability of certain outcomes related to the written driving test in Florida. The failure rate for this test is 60 percent, which means that the probability of failing the test is 0.6 and the probability of passing the test is 0.4.
a. To find the probability of all three test-takers failing the test, we can use the formula for the probability of independent events:
P(A and B and C) = P(A) x P(B) x P(C)
Where P(A), P(B), P(C) are the probability of each test-taker failing the test.
So in this case:
P(all three fail the test) = 0.6 x 0.6 x 0.6 = 0.216
The probability of all three test-takers failing the test is 0.216 or 21.6%.
b. To find the probability of none of the test-takers failing the test, we can use the formula for the probability of independent events:
P(A and B and C) = P(A) x P(B) x P(C)
Where P(A), P(B), P(C) are the probability of each test-taker passing the test.
So in this case:
P(none fail the test) = 0.4 x 0.4 x 0.4 = 0.064
The probability of none of the test-takers failing the test is 0.064 or 6.4%.
c. To find the probability of only one of the test-takers failing the test and two passing, we can use the combination formula:
(3 choose 1) x P(fail) x P(pass)^2 = 3 x (0.6 x 0.4^2) = 0.288
The probability of only one test-taker failing the test is 0.288 or 28.8%.
In summary, Probability is a measure of how likely an event is to occur, in this case we're looking at the probability of certain outcomes related to the written driving test in Florida, the failure rate for this test is 60 percent, which means that the probability of failing the test is 0.6.
To find the probability of all three test-takers failing the test we can use the formula P(A and B and C) = P(A) x P(B) x P(C) where P(A), P(B), P(C) are the probability of each test-taker failing the test.
To find the probability of none of the test-takers failing the test we can use the formula P(A and B and C) = P(A) x P(B) x P(C) where P(A), P(B), P(C) are the probability of each test-taker passing the test, and to find the probability of only one of the test-takers failing the test and two passing,
we can use the combination formula (3 choose 1) x P(fail) x P(pass)^2
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Jose could win $17 for guessing the correct number of Jelly Beans in a fat. The estimates that there are 450 Jelly Beans in the far, give or take 50. La I represent the adual number of jelly beans,
Answer:
Step-by-step explanation:
475 517
3x - 2 = 10 - x. What is the solution?
Answer:
x = 3
Step-by-step explanation:
\(3x - 2 = 10 - x\)
\(4x = 12\)
\(x = 3\)
A set of n = 25 pairs of scores (x and y values) has a pearson correlation of r = 0.80. how much of the variance for the y scores is predicted by its relationship with x?
0.64 or 64% of the variance for the y scores is predicted by its relationship with x.
What is coefficient of determination?The percentage of the variation in the dependent variable that can be predicted from the independent variable is known as the coefficient of determination, abbreviated R2 or r2, in statistics.
How to find the variance for the y scores?given that
A set of n = 25 pairs of scores (x and y values) has a pearson correlation of r = 0.80.
now we have to find the variance for the y scores.
here, r=0.80 then \( {r}^{2} = 0.64\)
which means 0.64 or 64% of the variance for the y scores is predicted by its relationship with x.
\(r = \sqrt{ {r}^{2}} \: or \: \sqrt{ {r}^{2}} \\ 0.80 = \sqrt{ {0.80}^{2} } \\ 0.80 = 0.80\)
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PLEASE SOLVE THIS
laws of indices
On a coordinate plane, triangle x y z has points (negative 5, 3), (negative 2, 3), (negative 2, 1). triangle x prime y prime z prime has points (5, negative 1), (5, negative 4), (3, negative 4). complete the sequence of transformations that produces △x'y'z' from △xyz. a clockwise rotation ° about the origin followed by a translation units to the right and 6 units down produces δx'y'z' from δxyz.
180° rotation rule (x, y) → (–x, –y)..
Triangle XYZ is rotated to create the image triangle X'Y'Z'. On a coordinate plane, 2 triangles are shown.
The first triangle has points X (-5, 3), Y (-2, 3), Z (2, 1).
The second triangle has points X prime (5, - 1), Y prime (5, - 4), Z prime
(3, - 4).
Here the sign of both coordinates has been changed but the magnitude remains same.
So, the rule is (x, y) → (–x, –y) which is for 180° rotation.
Hence, the 180° rotation rule (x, y) → (–x, –y).
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Workers in an office of 90 staff where asked there favourite type of takeaway. The results are summarised in the table. Work out the size of each angle to draw a pie chart.
Step-by-step explanation:
just draw out according to a graph chart or pie chart
9. Sarah saves $200 in her bank account for 3 years at a 5% interest rate. How much interest does she earn?
Answer:
$30
Step-by-step explanation:
Assuming this is an annual compound with a simple interest rate. the formula we can use is A=P(rt).
P=200
r=0.05
t=3
0.05*3=0.15
200*0.15=30
She earned $30
Answer:
The amount of interest she earns is: $30
Step-by-step explanation:
Given
Principle P = $200Time period t = 3 years Interest rate r = 5% or 5/100 = 0.05To determine
Interst I = ?
Using the equation to determine the interest amount
\(I = Prt\)
substitute P = 200, r = 0.05 and r = 3
\(I\:=\:200\:\times \:0.05\:\times \:3\)
\(I = 30\) $
Therefore, the amount of interest she earns is: $30
jamie, a bowler, claims that her bowling score is less than 168 points, on average. several of her teammates do not believe her, so she decides to do a hypothesis test, at a 1% significance level, to persuade them. she bowls 17 games. the mean score of the sample games is 155 points. jamie knows from experience that the standard deviation for her bowling score is 19 points and has reason to assume her scores are normally distributed. h0: μ≥168; ha: μ<168 α
The null hypothesis (H0) states that the average bowling score (μ) is greater than or equal to 168 points, while the alternative hypothesis (Ha) states that the average bowling score is less than 168 points.
To test this hypothesis, Jamie uses a significance level of 1%. The sample data consists of 17 games, with a mean score of 155 points and a standard deviation of 19 points.
To perform the hypothesis test, Jamie can use a one-sample t-test because the population standard deviation is unknown. The test statistic can be calculated as (sample mean - hypothesized mean) / (sample standard deviation / √sample size).
Substituting the given values, the test statistic is (-13) / (19 / √17) ≈ -3.02.
With 16 degrees of freedom (sample size - 1), Jamie can compare this test statistic to the critical t-value at a 1% significance level. If the test statistic falls within the critical region, Jamie can reject the null hypothesis and conclude that her bowling score is significantly less than 168 points on average.
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When 508,000,000 is written in scientific notation, what will be the value of the decimal number? pizzzz help
Answer:
5.08 * 10^8
Scientific notation requires that the number be written as a number between one and ten multiplied by the appropriate power of ten. In other words how many times must you multiply 5.08 by 10 in order to get 508,000,000? the answer is eight times so the result is 5.08 * 10^8
Step-by-step explanation:
(Pre-cal polynomial functions) When I'm finding the zeros of x^4 + 2x^2 - 3, how do I know when to implement imaginary numbers for the answer? ( +- [root3] vs. +- i[root3] ).
Given:
\(x^4+2x^2-3=0\)We will find the zeros of the function:
Factor the given function:
\(\begin{gathered} (x^2+3)(x^2-1)=0 \\ x^2-1=0\rightarrow x^2=1\rightarrow x=\pm1 \\ x^2+3=0\rightarrow x^2=-3\rightarrow x=\pm i\sqrt[]{3} \end{gathered}\)So, there are four zeros
So, the answer will be:
\(x=\mleft\lbrace-1,1,i\sqrt[]{3},-i\sqrt[]{3}\mright\rbrace\)Apply
15. The table shows the minimum and maximum
elevations, relative to sea level, of several
hiking trails. Which hiking trail has the least
change in elevation, related to sea level?
Explain how you solved.
The hiking trail that has the least change in elevation, related to sea level, is:
Southern Moon.
Which trail has the least change in altitude?The change in altitude of each trail is calculated as the subtraction of the highest altitude by the lowest altitude, that is:
Change in elevation = highest altitude - lowest altitude.
For Eastern Point, the change is given as follows:
Change = 78 - (-85) = 78 + 85 = 163 feet.
(subtracting by a negative is the same as adding to the positive of the number).
For Northern Star, the change is given as follows:
Change = 34 - (-150) = 34 + 150 = 184 feet.
For Southern Moon, the change is calculated as follows:
Change = 48 - (-62) = 48 + 62 = 110 feet.
The smallest amount is of 110, hence Southern Moon has the least change in elevation relative to sea level.
Missing InformationThe table is shown by the image at the end of the answer.
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y=
u−5
u+5
and u=
x
+9 A)
x
(
x
+4)
2
−5
B)
(
x
+4)
2
5
C)
x
(
x
+4)
2
10
D)
x
(
x
+4)
2
−10
E) None of the Above
The expression Y = (u - 5)/(u + 5) is given, where u = x + 9. The simplified form of Y is Option E, None of the Above.
To solve this problem step by step, let's start by substituting the value of u in the expression Y = (u - 5)/(u + 5), where u = x + 9.
Substituting u = x + 9, we have:
Y = ((x + 9) - 5)/((x + 9) + 5)
Simplifying the numerator and denominator:
Y = (x + 4)/(x + 14)
Now, we can see that none of the answer choices A), B), C), or D) match the simplified form of Y. Therefore, None of the Above.
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The question is -
Given the equations y = (x + 9) / (x - 5) and u = x, determine the expression for y in terms of x.
A) y = (x(x + 4)² - 5)
B) y = ((x + 4)² - 5)
C) y = x(x + 4)² / 10
D) y = x(x + 4)² / -10
E) None of the Above
Evaluate -3(c + d)
for c= -2 and d = 1
Answer:
3
Step-by-step explanation:
The answer is 3 because first you add -2 + 1 which is -1 then you multiply -3 by -1 and you get 3
Is This a Linear Function?explain
mike can wash a car in 3 hours. sabrina can wash the same car in 2 hours. to the nearest minute, how long would it take them to wash the car together?
Number of hours taken by Mike and Sabrina to wash a car when they work together is equal to (6/ 5) hours .
As given in the question,
Number of hours taken by Mike to wash a car = 3 hours
Work done by Mike in 1 hour = 1/3
Number of hours taken by Sabrina to wash a car = 2 hours
Work done by Sabrina in 1 hour = 1/2
Amount of work done by Mike and Sabrina together in 1 hour
= (1/3) + (1/2)
= ( 2 + 3 ) / 6
= 5/6
Now,
1 work done by Mike and Sabrina together = 6/5 hours
Therefore, number of hours taken them together to wash a car is
(6/5) hours.
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now, f(x) = ln(2 − x) = ln(2) − [infinity] n = 1 . this series will converge for < 1, and so the radius of convergence is r = .
The radius of convergence (r) for the given series is 0.
How can I solve this problem?To determine the radius of convergence for the given series, we need to consider the convergence of the series expansion of the function f(x) = ln(2 - x) around a specific point. The radius of convergence (r) is the distance from this point to the nearest singularity of the function.
In this case, the series expansion is centered around x = 2 since ln(2 - x) is not defined for x = 2. Therefore, the radius of convergence (r) is the distance from x = 2 to the nearest singularity.
Since the function ln(2 - x) is not defined for x = 2, we can say that the nearest singularity is located at x = 2. Hence, the distance from x = 2 to the nearest singularity is 0.
Therefore, the radius of convergence (r) for the given series is 0.
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. in what way does the standard error in an independent-means t-test (used) differ from the standard error in a one-sample t-test (i.e., sem)? (hint: they refer to different things. what does each refer to?)
The standard error in an independent-means t-test (also known as an independent samples t-test) and a one-sample t-test differ in terms of the populations they are comparing and how they are calculated.
Different types are:
1. Independent-means t-test: This test is used to compare the means of two independent samples (i.e., two separate groups of individuals). The standard error in this test refers to the difference between the means of these two groups. It is calculated using the following formula:
Standard Error (SE) = √[(s1^2/n1) + (s2^2/n2)]
where s1 and s2 are the standard deviations of the two samples, and n1 and n2 are the sample sizes of the two groups.
2. One-sample t-test: This test is used to compare the mean of a single sample to a known population mean or a specified value. The standard error in this test, also known as the standard error of the mean (SEM), refers to the variability of the sample mean.
In summary, the standard error in an independent-means t-test refers to the difference between the means of two independent samples, while the standard error in a one-sample t-test (SEM) refers to the variability of a single sample mean. The calculations for each standard error are also different, as explained above.
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Please help with the question in the picture
Using the knowledge of angle pairs that are formed by transversal and parallel lines: <1 and <3 are supplementary, so also are <2 and <4, because they are same-side interior angles.
What are Angle Pairs Formed by Parallel Lines and Transversal?One of the angle pairs that are formed by parallel lines and transversal is called the same-side interior angles, or consecutive angles. They lie on the same side of the transversal that intersects the two parallel lines.
Based on the same-side interior angles theorem, these consecutive angles are proven to be equal or supplementary to each other. That is, their angle measure will be equal to 180 degrees if added.
In the same vein, if we apply this to how the interior angles of a trapezoid relate, we can deduce the following:
Angle 1 and angle 3 are supplementary, and Angle 2 and angle 4 are supplementary because they are consecutive angles or same-side interior angles.
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Suppose y varies directly as x, and y = 10 when x = 25. Find y when x = 18.
Answer:
y = 7.2
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 10 when x = 25, then
10 = 25k ( divide both sides by 25 )
\(\frac{10}{25}\) = 0.4 = k
y = 0.4x ← equation of variation
When x = 18, then
y = 0.4 × 18 = 7.2
Indicate where the following people are going this afternoon, using the appropriate form of ir + a, al, or a la. Write out complete sentences using the elements provided.
yo / el bar con amigos
The sentence "Yo voy al bar con amigos" translates to "I am going to the bar with friends."
"Yo" means "I" in Spanish, indicating the person speaking.
"Voy" is the present tense form of the verb "ir" (to go) in the first-person singular. It means "I am going."
"Al" is a contraction of "a" (to) and "el" (the). It is used before masculine singular nouns to indicate motion towards a specific place. In this case, it indicates going "to the bar" (al bar).
"Bar" means "bar" in English, referring to the establishment the person is going to.
"Con amigos" means "with friends." The word "con" means "with," and "amigos" means "friends."
So, the complete sentence "Yo voy al bar con amigos" translates to "I am going to the bar with friends." It indicates that the person speaking is heading to the bar in the company of their friends.
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7x + y = 33
3x + y = 17
x=
y=
simultaneous
ABCD is a rectangle. Find m
Answer:
i dont know this question
Step-by-step explanation:
i dont konow
9)
If l||m and jik,
find the value of y.
(6y + 7)°
1
(5x)
(7x + 24°
m
k
A 7
B) 13
C) 18
D) 65
jump roping
spinning in circles
eating gummy bears
finger painting
9514 1404 393
Answer:
C) 18 eating gummy bears
Step-by-step explanation:
The angles indicated with x-expressions are supplementary, so we have ...
(5x) +(7x+24) = 180
12x +24 = 180 . . . collect terms
x +2 = 15 . . . . . . divide by 12
x = 13 . . . . . . . . . subtract 2
Then the obtuse angle is ...
7x +24 = 7(13) +24 = 115
__
The angle marked with a y-expression is a corresponding angle to this, so has the same measure.
6y +7 = 115
6y = 108 . . . . subtract 7; next divide by 6
y = 18
Answer:
y=18
Step-by-step explanation:
5x+7x+24=180
12x+24=180
12x=156
x=13
6y+7+65=180
6y+72=180
6y=108
y=
Two times a number divided by seven if forty. Express this sentence using algebraic symbols.
Answer:
(2x)/7=40Step-by-step explanation:
number is x
(2x)/7
=40
please help me solve this
Answer:
x>-1.5
Step-by-step explanation:
41. The Puuur Place builds customized cat trees for pet owners. The basic tree is $100 and each additional platform, perch, or toy costs $50. Meow Now also builds customized cat trees. Their basic cat tree starts at $50 and each additional piece costs $75.
[A] Write and solve a system of equations to represent the total cost, y, when x additional pieces are purchased with a basic cat tree at each store.
[B] Solve this system of equations and show your work.
[C] Reggie wants to purchase a cat tree for his pets. Based on your work, explain which store would be cheaper depending on how many add-ons he wants to purchase.
The system of equations to represent the total cost, y, when x additional pieces are purchased with a basic cat tree at each store are;
y = 50x + 100 ------(eq 1)
y = 75x + 50 ------(eq 2)
How to Solve Simultaneous Equations?A) Let the total cost of the cat tree be y
Let each additional piece added be x.
Since basic tree is $100 and each additional platform costs $50, then we can say that;
y = 50x + 100 ------(eq 1)
Now, their basic cat tree starts at $50 and each additional piece costs $75. Thus;
y = 75x + 50 ------(eq 2)
B) Subtract eq 1 from eq 2 to gte;
25x - 50 = 0
25x = 50
x = 50/25
x = 2
y = 75(2) - 50
y = $100
C) The Store that would be cheaper depending on the add - ons is Puuur Place because as x increases, it's y-value increases at a lesser rate than that of Meow.
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Name the plane represented by the top of the box.
Answer:
D.) BJC
Step-by-step explanation:
This is because it is looking for the TOP of the box, which is the top surface, from one corner to the end, therefore, BJC is the correct answer because B is the left corner of the top of the box, J is the middle of the top of the box, and C is the right of the top of the box.
What is the area of square UVWX?
Area= ... square units
Answer:
16
Step-by-step explanation:
4*4=16
Answer:
let's take the side XW
x =( -4, -4)
w = (-4,-8)
x1= -4 & x2 = -4
y1 = -4 & y2 = -8
using formula
\(d = \sqrt{ (x2 -x1) ^{2} + (y1 - y2) ^{2} } \\ = \sqrt[ ]{ (- 4 - ( - 4)) + ( - 4 - ( - 8))} \\ = \sqrt{0 + 4 } \\ = \sqrt{4} = 2sq.unit \: \\ now \: area \: of \: square \: = {side}^{2} \\ so \: = \: {2}^{2} = 4square \: unit \: \)
here we end :P
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What is the equation of the line that passes through the point (-1,6) and has a y-intercept of -5
well, since the y-intercept is at -5, or namely when the line hits the y-axis is at -5, that's when x = 0, so the point is really (0 , -5), and we also know another point on the line, that is (-1 ,6), to get the equation of any straight line, we simply need two points off of it, so let's use those two
\(\stackrel{y-intercept}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})}\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{0}}} \implies \cfrac{6 +5}{-1} \implies \cfrac{ 11 }{ -1 } \implies - 11\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{- 11}(x-\stackrel{x_1}{0}) \implies y +5 = - 11 ( x -0) \\\\\\ y+5=-11x\implies {\Large \begin{array}{llll} y=-11x-5 \end{array}}\)