MATHEMATICS COLLEGE

The temperature of an enclosure for a pet snake should be about 80°F, give or take 5°F. What are the maximum and minimum temperatures of the enclosure?

Answers

Answer 1

Answer:

Answer:

The max is 85F

The min is 75F

Step-by-step explanation:

For the max 80+5=85F

For the min 80-5=75F

Answer 2

Answer: Max =85

Minimal=75

Your subtracting 5 from 80 and 85

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Jimmy wants to draw a 50° angle. Fill in the missing step to make sure his drawing is completed in the correct order:Step 1: He draws a ray.
Step 2: He lines up his protractor with the baseline on the ray and the origin of the protractor on the vertex.
Step 3: ________
Step 4: He uses the bottom of the protractor to draw a straight line connecting the mark he made with the vertex.
Step 5: He draws arrows on both ends to make them rays.

Anwsers:
1. He lines up his ruler with the ray and the zero on the ruler.

2. He finds 50° on the protractor and draws a mark on the paper.

3. He lines up his protractor with a straight line and draws a mark on the paper.

4. He draws parallel lines.

Answers

Answer:

2. He finds 50° on the protractor and draws a mark on the paper.

Step-by-step explanation:

Construction is a topic that requires a step wise procedure during the process. In the given question, since Jimmy wish to draw an angle of 50°, he should locate the angle on his protractor and draw a mark on the paper. This is with respect to the previous steps observed.

The essence of the protractor is for Jimmy to accurately measure the angle. Thus he has to determine the angle by the use of a protractor before the construction can be complete.

Therefore the required procedure in step 3 is he finds 50° on the protractor and draws a mark on the paper.

Answer He finds 50° on the protractor and draws a mark on the paper.

If a gardener fences in the total rectangular area shown in the illustration instead of just the square area, he will needtwice as much fencing to enclose the garden. How much fencing will he need?
34 ft

Answers

The perimeter of the rectangle is:

P = 136ft

How much fencing will he need?

For a rectangle of length L and width W the perimeter is:

P = 2*(L + W)

And for a square of side length S, the perimeter is:

P' = 4*L

The length of the rectangle is:

L = 34ft + x

The width is W = x

For the square we have the side length S = x

Here we know that the perimeter of the rectangle is twice the perimeter of the square, then:

2*(W + L) = 2*(4*S)

Replacing these variables in terms of x, we get.

2*(x + 34ft + x) = 2*(4*x)

4x + 68ft = 8x

68ft = 8x - 4x = 4x

68ft/4 = x = 17ft

Then the perimeter of the rectangle is:

P = 2*(34ft + 17ft + 17ft) = 136ft

If you want to learn more about perimeters:

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Graph the line that passes through the given point and has the given slope m. (3,10); m=-(5)/(2)

Answers

Step-by-step explanation:

given a slope and a point that the line passes through you have 2 options

Option 1: Solve for the equation of the line so you can just use that to graph the line. In this scenario it would be y=(-5/2)x - (20/13)

Option 2: plot the given point and, based on the slope, plot the next point that it crosses. In this case the next point would be (5, 7). Then you can just draw a line using these 2 points.

calculate the variance and standard deviation for the following samples set of data. 83.6,92.3,56.5,43.8,77.1,66.7. (Do not round intermediate calculation. Round your final answers and the nearest tenth.)

Answers

Answer:

Variance: 322.4479999999996

Standard Deviation: 17.956837137981722

Final answer:

To calculate the variance and standard deviation for the given sample set of data, find the sample mean, calculate the squared differences, and then find the sample variance and standard deviation.

Explanation:

To calculate the variance and standard deviation for the given sample set of data (83.6, 92.3, 56.5, 43.8, 77.1, 66.7), follow these steps:

Calculate the sample mean by adding all the values together and dividing by the total number of values: (83.6 + 92.3 + 56.5 + 43.8 + 77.1 + 66.7) / 6 = 69.8.
Calculate the squared differences between each value and the sample mean: (83.6 - 69.8)^2, (92.3 - 69.8)^2, (56.5 - 69.8)^2, (43.8 - 69.8)^2, (77.1 - 69.8)^2, (66.7 - 69.8)^2.
Calculate the sample variance by summing up the squared differences and dividing by (n-1), where n is the total number of values: (83.6 - 69.8)^2 + (92.3 - 69.8)^2 + (56.5 - 69.8)^2 + (43.8 - 69.8)^2 + (77.1 - 69.8)^2 + (66.7 - 69.8)^2 = 300.46. Sample variance = 300.46 / 5 = 60.1.
Calculate the sample standard deviation by taking the square root of the sample variance: √60.1 = 7.79. Rounded to the nearest tenth, the sample standard deviation = 7.8.

Learn more about Calculating Variance and Standard Deviation here:

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Let X1, X2, and X3 represent the times necessary to perform three successive repair tasks at a service facility. Suppose they are normal random variables with means of 50 minutes, 60 minutes, and 40 minutes, respectively. The standard deviations are 15 minutes, 20 minutes, and 10 minutes, respectively. a Suppose X1, X2, and X3 are independent. All three repairs must be completed on a given object. What is the mean and variance of the total repair time for this object.

Answers

Answer:

The mean of the total repair time is 150 minutes.

The variance of the total repair time is 725 minutes^2.

Step-by-step explanation:

To solve this problem, we have to use the properties of the mean and the variance. Our random variable is the sum of 3 normal variables.

In the case, for the mean, we have that the mean of the sum of 3 normal variables is equal to the sum of the mean of the 3 variables:

$y=x_1+x_2+x_3 \n\nE(y)=E(x_1+x_2+x_3)=E(x_1)+E(x_2)+E(x_3)\n\nE(y)=50+60+40=150$

For the variance, we apply the property for the sum of independent variables (the correlation between the variables is 0):

$V(y)=V(x_1)+V(x_2)+V(x_3)\n\nV(y)=s_1^2+s_2^2+s_3^2\n\nV(y)=15^2+20^2+10^2\n\nV(y)=225+400+100\n\nV(y)=725$

If it costs $1.40 per square foot to install the garden, what is the cost for plan A? Plan B?

Answers

Answer:

Step-by-step explanation:

I NEED HELP PLEASE

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