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Answer:

D. number of reptiles

Step-by-step explanation:

The dot plot that Casey is describing shows the Number of Reptiles.

A dot plot visually groups the number of data points in a data set based on the value of each point.

Given are three dot plots for different data, they are showing, Number of Mammals, Number of Amphibians and Number of Reptiles.

Casey described the data on a dot plot as having a spread from 0 to 5 and a center of 3.

The only similar description for the dot plot that Casey is describing is the graph which shows the Number of Reptiles, as it runs from 0 to 5.

Hence, the dot plot that Casey is describing shows the Number of Reptiles.

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The question do not have graph, so, I solved the question attached in the solution.

Answer:

C. Approximately normal

Step-by-step explanation:

We know that when we have,  np≥10, and  n(1−p)≥10, and both of these are true, where n is the sample size, and p is the sample of proportions, the sampling proportions of sample distributions, will be normal in shape.

Expected successes : np=125(0.88)=110≥10

Expected failures : n(1−p)=125(1−0.88)=15≥10

Answer:

Wheres the polygon ?

Step-by-step explanation:

Step-by-step explanation:

so as ∆BCE is a right angled triangle

angle BEC = 90°

angle CBE = 22° (given)

apply angle sum property of triangle

so according to that

BCE + CBE + ECB = 180

22° + 90° + ECB = 180

102° + ECB = 180

ECB = 180 - 102

ECB = 78°

and also we know, that exterior angle of a triangle is equal to 2 interior angle of triangle,

so ,

x = 78°

hope this answer helps you dear! take care

Answer: Yes

Step-by-step explanation:

The future value of the monthly deposit which earns 0.475 monthly interest will be $10,944.67 after 16 months.

The future value can be determined using the future value annuity formula or an online finance calculator.

The future value represents the periodic deposits compounded periodically at an interest rate.

N (# of periods) = 16 months

I/Y (Interest per year) = 5.7% (0.475% x 12)

PV (Present Value) = $0

PMT (Periodic Payment) = $660

Results:

Future Value (FV) = $10,944.67

The sum of all periodic payments = $10,560.00

Total Interest = $384.67

Thus, using an online finance calculator, the future value of the monthly deposits is $10,944.67.

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In Python, the double asterisk (**) operator is used for exponentiation or raising a number to a power.

When you write 5 ** 2, it means "5 raised to the power of 2", which is equivalent to 5 multiplied by itself.

The base number is 5, and the exponent is 2.

The double asterisk operator (**) indicates exponentiation.

The number 5 is multiplied by itself 2 times: 5 * 5.

The result of the expression is 25.

So, 5 ** 2 evaluates to 25.

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Answer:

834.6m

Step-by-step explanation:

780*1.07=834.6

The parallel boxplots suggest that the name-brand microwave popcorn has a higher median and a wider spread compared to the store-brand popcorn. However, to determine if there is convincing evidence at the 0.05 significance level, a formal hypothesis test comparing the means of the two samples should be conducted.

1. The parallel boxplots for the percentage of popped kernels in the two samples show that the name-brand microwave popcorn generally has a higher median and a wider range compared to the store-brand microwave popcorn.

The name-brand popcorn has a median around 91-92% with outliers at both the higher and lower ends, while the store-brand popcorn has a median around 85-86% with fewer outliers.

2. To determine if there is convincing evidence that using name-brand microwave popcorn will result in a greater mean percentage of popped kernels, a hypothesis test can be performed.

Using a two-sample t-test at the 0.05 significance level, the test can compare the means of the two samples to see if there is a significant difference.

The appropriate statistical analysis will help determine if there is sufficient evidence to conclude that the mean percentage of popped kernels differs significantly between the name-brand and store-brand microwave popcorn.

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Answer:  X = -1/2

Step-by-step explanation:

(i) Y = 2X + 1

(ii) X = 7 - 2Y

We can substitute the value of X from equation (ii) into equation (i) and solve for Y.

Substituting X = 7 - 2Y into equation (i), we have:

Y = 2(7 - 2Y) + 1

Simplifying:

Y = 14 - 4Y + 1

Y = -3Y + 15

Adding 3Y to both sides:

4Y = 15

Dividing both sides by 4:

Y = 15/4

Now, we can substitute this value of Y back into equation (ii) to find X:

X = 7 - 2(15/4)

X = 7 - 30/4

X = 7 - 15/2

X = 14/2 - 15/2

X = -1/2

Therefore, the value of X is -1/2 when solving the given system of equations.

The solution to the system of equations Y=2X+1 and X=7−2Y is X=1 and Y=3.

To solve this system of equations, you can start by substituting y in the second equation with the value given in equation (i) (2x+1). So, the second equation will now be X = 7 - 2*(2x+1).

This simplifies to X = 7 - 4x - 2. Re-arrange the equation to get X + 4x = 7 - 2, which further simplifies to 5x = 5, and thus x = 1.

Now that you have the value of x, you can substitute that in the first equation to find y. Hence, Y = 2*1 + 1 = 3.

Therefore, the solution to this system of equations is X = 1 and Y = 3.

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Answer:

its none, because none of them split apart

Step-by-step explanation:

Answer:

Step-by-step explanation: This is the all-math caculator that will help you and I can relate hehe I am not the greatest Person at math so below is how you would solve it! "Good Luck dear"!!

Farmer Ed has 3,000 meters of fencing and wants to enclose a rectangular plot that borders on a river.The largest area that can be enclosed is 750,000 square meters.

To get the largest area that can be enclosed, we have to find the dimensions of the rectangular plot. Let's assume that the width of the rectangle is x meters.The length of the rectangle can be found by subtracting the width from the total length of fencing available:L = 3000 - x. The area of the rectangle can be found by multiplying the length and width:Area = L × W = (3000 - x) × x = 3000x - x²To find the maximum value of the area, we can differentiate the area equation with respect to x and set it equal to zero.

Then we can solve for x: dA/dx = 3000 - 2x = 0x = 1500. This means that the width of the rectangle is 1500 meters and the length is 3000 - 1500 = 1500 meters.The area of the rectangle is therefore: Area = L × W = (3000 - 1500) × 1500 = 750,000 square meters. So the largest area that can be enclosed is 750,000 square meters.

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Answer:

3.64m

Step-by-step explanation:

the square root of 41.73m/3.14

The value of the constant c is -3968.

The given differential equation is\(y = x^2 + (c/x^2)\), and we need to find the value of the constant "c" such that the solution satisfies the initial condition y(8) = 2.

Substituting x = 8 into the equation, we have:

y(8) = \(8^2\) + (c/\(8^2\))

     = 64 + (c/64)

To satisfy the initial condition y(8) = 2, we equate the expression above to 2:

64 + (c/64) = 2

Subtracting 64 from both sides:

c/64 = 2 - 64

c/64 = -62

To isolate "c," we multiply both sides by 64:

c = -62 * 64

c = -3968

Therefore, the value of the constant "c" that produces a solution satisfying the initial condition y(8) = 2 is c = -3968.

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The number of students on the bus is 40.

The first step is to form two equations that represent the information in the question:

a + b = 45 equation 1

375a + 200b = 9875 equation 2

Where:

a = number of adults in the bus

b = number of students in the bus

The elimination method would be used to determine the number of students on the bus.

Multiply equation 1 by 375

375a + 375b = 16,875 equation 3

Subtract equation 2 from equation 3

175b = 7000

Divide both sides of the equation by 175

b = 7000 / 175

b = 40

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Answer:

c

Step-by-step explanation:

The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

The critical value(s) and rejection region(s) for the type of z-test with a level of significance a = 0.03 and a right-tailed test are as follows :Step 1: Determine the critical value of  zThe critical value is calculated by using the normal distribution table and the level of significance. A right-tailed test will have a critical value of zα. For a level of significance of 0.03, we will look for the z-value that corresponds to 0.03 in the normal distribution table.Critical value for a = 0.03 is z = 1.88 (approx).Step 2: Determine the Rejection Region The rejection region for a right-tailed test is defined as any z-value that is greater than the critical value. That is, if the test statistic is greater than 1.88, we reject the null hypothesis at the 0.03 level of significance, and if it is less than or equal to 1.88, we fail to reject the null hypothesis.Therefore, the rejection region for a right-tailed test with a level of significance of 0.03 is as follows:Rejection Region: Z > 1.88  OR  Z ≤ -1.88Graph: The graph for the given values will be as follows:The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

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The volume of oil exiting the pipe is approximately 100 cu in/hr, 2,400 cu in/day, and 1.39 cu ft/day when converting cu in/day to cubic feet per day.



To calculate the volume of oil exiting the pipe every hour, you would need to know the flow rate of the oil in cubic inches per hour. Let's assume the flow rate is 100 cubic inches per hour.To find the volume of oil exiting the pipe every day, you would multiply the flow rate by the number of hours in a day. There are 24 hours in a day, so the volume of oil exiting the pipe every day would be 100 cubic inches per hour multiplied by 24 hours, which equals 2,400 cubic inches per day.

To convert the volume from cubic inches per day to cubic feet per day, you would need to divide the volume in cubic inches by the number of cubic inches in a cubic foot. There are 1,728 cubic inches in a cubic foot. So, dividing 2,400 cubic inches per day by 1,728 cubic inches per cubic foot, we get approximately 1.39 cubic feet per day.

Therefore, the volume of oil exiting the pipe is approximately 100 cubic inches per hour, 2,400 cubic inches per day, and 1.39 cubic feet per day.

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Answer:

12.75feet (12¾)

Step-by-step explanation:

7t+1+5t+8=162feet

12t+9=162feet

12t=162-9

=153

t = 153÷9

=12.75feet (12¾feet)

Answer:

Step-by-step explanation:

Compare like sides of the two triangles to write a proportion. See image.

Answer:

woooooooow ooooooooooooooooo

The probability density function of V is given by the formula fV(v) = 2(1 - v), 0 ≤ v ≤ 1.The value of v lies between 0 and 1 since it is the minimum of the two random variables X and Y.

The joint probability density function of X and Y is given by the formula fXY(x, y) = 1, 0 ≤ x ≤ 1, 0 ≤ y ≤ 1. Let V = min(X, Y).We need to compute the probability density function of V.P(V > v) is the probability that neither X nor Y is less than v, soP(V > v) = P(X > v, Y > v) = ∫∫[v, 1] fXY(x, y) dy dxThe limits of integration are [v, 1] for both X and Y because v is the smallest of the two. Therefore,P(V > v) = ∫v¹∫v¹ fXY(x, y) dy dx= ∫v¹∫v¹ 1 dy dx= (1 - v)²The density function of V is obtained by differentiation,P(V = v) = d/dv P(V > v) = 2(1 - v)Therefore, the probability density function of V is given by the formula fV(v) = 2(1 - v), 0 ≤ v ≤ 1.The value of v lies between 0 and 1 since it is the minimum of the two random variables X

and Y.

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Coupon STRIPS can be created from the given T-bond by removing the coupon payments from the bond and selling them as individual securities. Let's calculate how many coupon STRIPS can be created from this T-bond.

The bond has a 5% coupon, which means it will pay $5 million in interest every year. Over a period of 29 years, the total interest payments would be $5 million x 29 years = $145 million.

The par value of the bond is $100 million. After deducting the interest payments of $145 million, the remaining principal value is $100 million - $145 million = -$45 million.

Since there is a negative principal value, we cannot create any principal STRIPS from this bond. However, we can create coupon STRIPS equal to the number of coupon payments that will be made over the remaining life of the bond.

Therefore, we can create 29 coupon STRIPS of $5 million each from this T-bond. These coupon STRIPS will be sold separately and will not include the principal repayment of the bond.

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Answer:

Well yes. So we know that our x intercepts are -2 and postive 3. If we look at the graph, we can see that when y=0, the quadratic is at both -2 and 3 for x.

Step-by-step explanation:

This might not be the full reason why this is the answer, but this is for sure part of why the factored form is correct

Sorry I cannot help more than that! :(

The speed of the hawk increased by 3.04 - 1.28 = 1.76 ft/s from t = 4 to t = 8.

The acceleration after t seconds of a hawk flying along a straight path is a(t) = 0.8 + 0.12t ft/s²

From the given equation, we know that the acceleration of the hawk is a(t) = 0.8 + 0.12t ft/s².Using the formula v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration and t is the time taken, we can find the final velocity of the hawk at t = 4 as follows:

v = u + atv = 0 + a(4) [Initial velocity is zero]v = 0 + (0.8 + 0.12(4))v = 0 + (0.8 + 0.48)v = 1.28 ft/s

Similarly, we can find the final velocity of the hawk at t = 8 as follows:v = u + atv = 1.28 + a(4) [Initial velocity is 1.28 ft/s]v = 1.28 + (0.8 + 0.12(8))v = 1.28 + (0.8 + 0.96)v = 3.04 ft/s

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Using a trigonometric relation, we will see that the distance is 453.7 feet.

We can think of this as in a right triangle, where we know one of the angles which is 70°, we know the opposite cathetus to said angle which is 120ft, and we want to find the other cathetus.

Then we can use the trigonometric relation:

tan(a) = (opposite cathetus)/(adjacent cathetus)

Replacing what we know, we will get:

tan(70°) = 120ft/d

Solving for d:

d = 120ft/tan(70°) = 43.7 ft

That is the distance.

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Answer:

The equation of the line is:

\(y = 28x\)

Hence, option C is correct.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

Given the table

Gallons               Miles Driven

8                          224

10                         280

4                           112

Finding the slope between any two points, let say (8, 224) and (10, 280)

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(\left(x_1,\:y_1\right)=\left(8,\:224\right),\:\left(x_2,\:y_2\right)=\left(10,\:280\right)\)

\(m=\frac{280-224}{10-8}\)

\(m=28\)

now substituting (8, 224) and m = 28 in the slope-intercept form of line equation

\(y = mx+b\)

224 = 28(8) + b

224 = 224 + b

b = 0

Thus, the y-intercept b = 0

now substituting b = 0 and m = 28  in the slope-intercept form of line equation

\(y = mx+b\)

\(y = 28x+0\)

\(y = 28x\)

Therefore, the equation of the line is:

\(y = 28x\)

Hence, option C is correct.

Answer:

$12.00

Step-by-step explanation:

6% off $199 =

6% × $199 = $11.94

$11.94 is rounded or estimated to $12.00

Answer:

x=48

Step-by-step explanation:

(x-10)÷2=19

x-10 =19

2

(x-10)×2 =19×2

2

x-10=19×2

x-10=38

x=38+10

x=48

Answer:

Step-by-step explanation:

The consecutive integers are increasing by 1

x ← the smallest integer

x+1 ← the middle integer

x+1+1 = x+2   ← the largest integer

x + x+1 + x+2 = 120

   3x + 3 = 120

      ÷3        ÷3

      x + 1 = 40

         -1       -1

        x = 39

x+2 = 39 + 2 = 41

Answer:

X=18

Step-by-step explanation:

you can find what the missing angle is by subtracting 92 from 180 since its a straight line. After putting in the missing angle you can easily solve for 2X which is 36 and then divide by 2 and get 18.

Answer:

x = 23

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

92° is an exterior angle of the triangle, then

2x + 46 = 92 ( subtract 46 from both sides )

2x = 46 ( divide both sides by 2 )

x = 23