Determining graph equality. Indicate if the two graphs are equal. (a) a b d с a b d (b) b d CU нь |с b ac с abde d с e e cd o b D 0 0 1 1 0 0 0 0 0 1 1 0 0 1 0 1 0 1 0 1 0 1 0 1 0 The rows and columns of the matrix represent vertices a, b, c, d, e, in order. (d) a b a) V = {a, b, c, d, e) E = {{a, C}, {a, d}, {b, d}, {b, e}, {c, d}, {d, e}}

Given:

Per month fee = $55

One-time recital fee = $165

The equation represents the $495 total cost that Barbara paid to Dance Unlimited.

\(495=165+55m\)

To find:

We need to find the number of month Barbara receive dance lessons from Dance Unlimited.

Solution:

We have,

\(495=165+55m\)

Here, m is number of months. We need to isolate m.

Subtract 165 from both sides.

\(495-165=55m\)

\(330=55m\)

Divide both sides by 55.

\(\dfrac{330}{55}=m\)

\(6=m\)

The value of m is 6. So, the required number of month Barbara receive dance lessons from Dance Unlimited is 6.

Answer:

Step-by-step explanation:

2(√x+2/2 - 1)² + 4 (√x+2/2 - 1)

2((√x+2/2)² + 1² - 2(√x+2/2)(1)) + 4√x+2/2 - 4

2(x+2/2 + 1 - 2(√x+2/2)) + 4√x+2/2 - 4

x + 2 + 2 - 4√x+2/2 + 4√x+2/2 - 4

x + 4 - 4

x

Answer:

the answer is x

Step-by-step explanation:

The claim that the population mean is less than 125 (Option E) would

the interval tends to refute.

The 90% confidence interval for the population mean is 135 to 160. This means that if we were to repeat the process of taking samples from the same population and constructing a 90% confidence interval, we would expect 90% of the intervals to contain the true population mean.

With this in mind, let's consider each claim:

A. The interval does not rule out the possibility that the population mean is more than 110, as 110 is less than the lower bound of the interval.

B. The interval does not rule out the possibility that the population mean is less than 150, as 150 is greater than the upper bound of the interval.

C. The interval does not rule out the possibility that the population mean is between 140 and 150, as both of these values fall within the interval.

D. The interval does not rule out the possibility that the population mean is more than 140, as 140 is less than the upper bound of the interval.

E. The interval refutes the claim that the population mean is less than 125, as 125 is less than the lower bound of the interval.

Therefore, the answer is (E) The population mean is less than than 125.

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Answer:

  y²/19 -x²/36 = 1

Step-by-step explanation:

You want the equation of a hyperbola centered at the origin with vertices at (0,±sqrt(19)) and foci at (0,±sqrt(55)).

If a, f are the distances from center (the origin) of the vertices and foci, the equation of the hyperbola with vertices on the y-axis can be written as ...

  y²/a² -x²/(f²-a²) = 1

For a=√19 and f=√55, the equation is ...

  y²/19 -x²/36 = 1

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Answer:i dont remember

Step-by-step explanation:

The fund balance at the end of 2019 will be $8,000.

The given problem has four different parts, where we are supposed to calculate the accumulation of funds at the end of 2019 in different scenarios.

Scenario 1In the first scenario, the first deposit is made on December 31, 2016, and interest is compounded annually.

Using the FVA of $1 table; Payment: $2,000n = 4i = 12%

Fund balance 12/31/2019: $9,559

Hence, the fund balance at the end of 2019 will be $9,559.Scenario 2In the second scenario, the first deposit is made on December 31, 2015, and interest is compounded annually.

Using the FVAD of $1 table;Payment: $2,000n = 4i = 12%

Fund balance 12/31/2019: $10,706 Therefore, the fund balance at the end of 2019 will be $10,706.Scenario 3In the third scenario, the first deposit is made on December 31, 2015, and interest is compounded quarterly. Using the FV of the $1 chart, we get the following calculation:

Deposit Date i = n = Deposit Fund Balance 12/31/2015 3% 16 $2,000 $3,20912/31/2016 3% 12 $2,000 $2,85212/31/2017 3% 8 $2,000 $2,53412/31/2018 3% 4 $2,000 $2,251

The interest rate is 3%, and the payment is $2,000. Hence, the fund balance at the end of 2019 will be $10,846.Scenario 4In the fourth scenario, the first deposit is made on December 31, 2015, interest is compounded annually, and interest earned is withdrawn at the end of each year.

Deposit Amount No. of Payments Interest left in Fund Fund Balance 12/31/2019$2,000 $8,000 Hence, the fund balance at the end of 2019 will be $8,000.

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The probability that a random sample of 12 second grade students results in a mean reading rate of more than 95 words per minute is 0.4582.

Given that the population mean, \(\mu\) = 90 wpm

The standard deviation of the population ,\(\sigma\) = 10

Sample size, n = 12

Sample mean, \(\bar x\) = 95

The reading rate of students follows the normal distribution.

Let z = \(\frac{\bar x - \mu}{\frac{\sigma}{\sqrt n} }\)

        = \(\frac{95 - 90}{\frac{10}{\sqrt 12} }\)

        = 1.732

Probability that the mean reading exceeds 95 wpm = P(\(\bar x\) >95)

                                                                                       = P(z>1.732)

                                                                                       = 1- P(z<1.732)

                                                                                       = 0.4582

[The value 0.4582 found from the area under the normal curve using tables].

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The new average speed that the pilot should maintain to complete the trip in 90 minutes is 220 miles per hour.

(a) To find the angle that the pilot should turn to head towards Louisville, we first need to find how far off course the pilot has gone in 15 minutes. At an average speed of 220 miles per hour, the pilot would have flown a distance of:

d = rt = 220 mi/hr × (15 min / 60 min/hr) = 55 miles

Since the pilot was 10 degrees off course, they have effectively traveled 10/360 of the circumference of a circle with radius 55 miles. The length of this arc is:

s = rθ = 55 mi × (10/360) = 1.528 mi

To head towards Louisville, the pilot needs to turn to a heading that is 10 degrees in the opposite direction. The angle θ that the pilot needs to turn is given by:

θ = 2arctan(s/2d) = 2arctan(1.528 mi / 2(330 mi)) ≈ 0.266 radians ≈ 15.26 degrees

So the pilot needs to turn approximately 15.26 degrees to head towards Louisville.

(b) Let's call the distance the pilot needs to travel after correcting course "x". We can use the formula for distance to find "x":

x = 330 mi - 2(55 mi) = 220 mi

To complete the trip in a total time of 90 minutes, the pilot must spend 75 minutes flying at the new speed and 15 minutes turning to the correct heading. Therefore, the time spent flying at the new speed is 75 minutes - 15 minutes = 60 minutes. The new speed can be found using the formula for average speed:

average speed = total distance / total time

We want the new speed to cover a distance of 220 miles in 60 minutes:

average speed = 220 mi / (60 min / 60) = 220 mi/hr

So the new average speed that the pilot should maintain to complete the trip in 90 minutes is 220 miles per hour.

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To calculate the expected number of die rolls it takes to reach either condition (A) or condition (B), we need to first calculate the probability of each scenario occurring and then use those probabilities to find the expected value of X.

To find the expected value of X, we need to first calculate the probability of each scenario occurring. Let's start with condition (A), rolling a "1" on any given roll. Since the die is fair and uniformly distributed, the probability of rolling a "1" on any given roll is 1/6. We can express this probability as P(A) = 1/6 + ((5/6) * 1/6) + ((5/6)^2 * 1/6) + ... + ((5/6)^(n-1) * 1/6), where n is the number of rolls it takes to roll a "1". Using some probability theory, we can simplify this expression as P(A) = 6/11.

Finally, we can use these probabilities to find the overall probability of reaching either condition (A) or condition (B) on any given roll. Since these events are mutually exclusive (i.e. you can't roll a "1" and two "2"s in a row at the same time), we can simply add their probabilities together: P(A or B) = P(A) + P(B) - P(A and B) = 6/11 + 1/36 - (1/6)*(1/36) = 201/396.

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Answer:

first three are correct answers last two are not

Step-by-step explanation:

quadratic equations are in the for y=ax²+bx+c

y= f(X)

Answer:

3

Step-by-step explanation:

Answer:

40 miles per hours

Step-by-step explanation:

We know

A truck driver drove 350 miles in 8 3/4 hours.

8 3/4 = 35/4 = 8.75

So, the truck driver drove 350 miles in 8.75 hours

What is the speed of the truck in miles per hour?

We take

350 divided by 8.75 = 40 miles per hours

So, the speed of the truck is 40 miles per hour.

The probabilities are:

(a) P(X = 0) ≈ 0.3139

(b) P(X ≥ 1) ≈ 0.6861

(c) P(X ≤ 1) ≈ 0.9862

We can model this situation using the hypergeometric distribution.

Let's define:

N = total number of manufacturing plants = 30

D = number of plants outside the country = 7

n = number of plants in the performance evaluation = 4

(a) Probability of including no plants outside the country:

We want to find P(X = 0), where X is the number of plants outside the country in the performance evaluation. This can be calculated using the hypergeometric distribution formula:

P(X = 0) = (C(23, 4) * C(7, 0)) / C(30, 4) = (23 choose 4) / (30 choose 4) ≈ 0.3139

(b) Probability of including at least 1 plant outside the country:

We want to find P(X ≥ 1). We can use the complement rule and find the probability of including no plants outside the country and subtract it from 1:

P(X ≥ 1) = 1 - P(X = 0) = 1 - (C(23, 4) * C(7, 0)) / C(30, 4) ≈ 0.6861

(c) Probability of including no more than 1 plant outside the country:

We want to find P(X ≤ 1). This can be calculated as the sum of P(X = 0) and P(X = 1):

P(X ≤ 1) = P(X = 0) + P(X = 1) = (C(23, 4) * C(7, 0)) / C(30, 4) + (C(23, 3) * C(7, 1)) / C(30, 4) ≈ 0.9862

Therefore, the probabilities are:

(a) P(X = 0) ≈ 0.3139

(b) P(X ≥ 1) ≈ 0.6861

(c) P(X ≤ 1) ≈ 0.9862

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Answer:

9.1

Step-by-step explanation:

For the first one, I just multiplied 4.55 and 0.5 by 2 somthey are proportional. Or divide distance by time!

The output of the following code snippet will be 1, 2, 3, and 4.

The reason is that the while loop runs infinitely until the break statement is executed. The break statement terminates the loop if the value of x is divisible by 5. However, the value of x is incremented at each iteration of the loop before checking the condition. Here is the step-by-step explanation of how this code works:

Step 1: Assign 1 to x.x = 1

Step 2: Start an infinite loop using the while True statement.

Step 3: Check if the value of x is divisible by 5 using the if x % 5 == 0 statement.

Step 4: If the value of x is divisible by 5, terminate the loop using the break statement.

Step 5: Print the value of x to the console using the print(x) statement.

Step 6: Increment the value of x by 1 using the x += 1 statement.

Step 7: Repeat steps 3-6 until the break statement is executed.

Therefore, the output of the code will be: 1 2 3 4.

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Answer: 5. 420,  6. 450,  7. 750,  8. 756

Step-by-step explanation:

Answer:

5 bowls

Step-by-step explanation:

Total number of bowls = total pints / capacity of each bowl

17/8 ÷ 3/8

Convert 1 7/8 to improper fraction = 15/8

15/8 x 8/3 = 5 bowls

Answer:

$6.5 per bag

Step-by-step explanation:

The unit price is the total price divided by the weight

9.75/1.5 = 6.5

Answer:

-14>y-4

so -14+4>y-4+4

and -10>y

Answer:

The discount was \(47\frac{6}{7}\)%

Step-by-step explanation:

In order to find out the discount will have to do the following.

First find out what part of the origin price was taken of, so we create a fraction with the denominator being the original price and the numerator being the difference between the original price and the discount price. So we do.....

\(\frac{28.00-14.60}{28.00} = \frac{2800 - 1460}{2800} = \frac{1340}{2800} = \frac{67}{140}\)

Now we have to find a fraction with the same value but with the denominator being a 100, so we do.....

\(\frac{67 / 1.4}{140/1.4}= \frac{47\frac{6}{7} }{100}\)

From this we know that the the discount in percentages will be equal to \(47\frac{6}{7}\)%

Answer:

52.1428571429

Step-by-step explanation:

14.60 × 100 = 1460

1460 ÷ 28 = 52.1428571429

we would need a sample size of at least 502 for the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 to be at least 0.80.

To compute n, we can use the formula:
n = ((zα/2)^2 * 2p*(1-p*)) / (ε^2)
Where zα/2 is the z-score associated with a confidence level of 1-α, p* is the probability of success for a binomial distribution, and ε is the margin of error.
Since we are given that the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 is at least 0.80, we can set α = 0.20 to find the corresponding z-score of 1.28.
Using p* = 1/2 as an upper bound for both P1 and P2, we can calculate the margin of error as:
ε = zα/2 * sqrt((p*(1-p*)) / n)
Plugging in the values, we get:
0.05 = 1.28 * sqrt((0.25) / n)
Solving for n, we get:
n = 501.76
Therefore, we would need a sample size of at least 502 for the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 to be at least 0.80.

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Answer:

7i/sqrt(2)

Step-by-step explanation:

so, if I understand correctly, the equation is

(22-16)(2x² + 49) = 0

6(2x² + 49) = 0

that automatically means

2x² + 49 = 0

2x² = -49

x² = -49/2

x = sqrt(-49/2)

a square root of a negative number has no real solution. the solution is in the world of complex and imaginary numbers, which bases on the sqrt(-1) = i.

so, we get

x = sqrt(49/2 × -1) = (7/sqrt(2)) × I = 7i/sqrt(2)

Answer:

16r2 + 24

Step-by-step explanation:

See the attached picture

Answer: This is more like division.

Step-by-step explanation:

Answer:

Step-by-step explanation:

multiply the first number x the second number or divide them. then you should get your answer

Answer:

11x+16y = 13

16y = -11x+13

y = -11/16x+13/16

Step-by-step explanation:

1) The variables are: Numeric/Quantitative: Plant Height, Categorical/Qualitative: Soil Type. The correct answer is b

2) The sampling technique is: Systematic. The correct answer is d

1) The correct answer is: b) Numeric/Quantitative: Plant Height, Categorical/Qualitative: Soil Type

The variable "Plant Height" is numeric/quantitative because it represents a measurable quantity (the height of each plant).

The variable "Soil Type" is categorical/qualitative because it represents different categories or types of soil (Clay, Sandy, Silty, Peaty, Chalky, and Loamy).

2) The correct answer is: d) Systematic

The sampling technique used in this scenario is systematic. The researcher first randomly chose one state in the nation, and then systematically picked twenty patients from that state.

Systematic sampling involves selecting every nth individual from a population after a random start. In this case, the researcher is selecting every twentieth patient after a random start (choosing the state).

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Answer:

Yes it is

Step-by-step explanation:

Answer:

The length of the short side was 12 and the length of the long side was 32

Step-by-step explanation:

We will say that the length is the shorter side, and be using l as the variable, and that width is the longer side, and be using w as the variable. The first two equations we have are:

w = l + 20

And

2(2l + 3w) = 240

We will start with the second equation, then substitute in the first equation for w. We have:

4l + 6w = 240

Divide both sides by 2:

2l + 3w = 120

Then, we substitute in l + 20 for w, giving us:

2l + 3l + 60 = 120

Subtract 60 from both sides and combine like terms:

5l = 60

l = 12

So, the original length was 12, now substituting this into our first equation gives us:

w = 12 + 20 = 32

So the original width was 32. So, the length of the short side was 12 and the length of the long side was 32.

Hope this helped!

Answer:

w = -12

Step-by-step explanation:

I think because you make the positive a negative so -6+-6 which is -12