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3 years ago

What is the surface area of a sphere that has a diameter of 1.5 in.? A) 7.07 in.2 B) 8.64 in.2 C) 18.84 in.2 D) 28.26 in.2

1 answer:

7 0

Hello!

To find the surface area of a sphere you use the equation

$A = 4 \pi r^{2}$

A is surface area
r is radius

Put in the values you know and 3.14 for pi

$A = 4 * 3.14 * 1.5^{2}$

Square the number

A = 4 * 3.14 * 2.25

Multiply

A = 28.26

The answer is D)28.26in squared

Hope this helps!

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Answer:

The probability that the very first dam you designed will overtop during your anticipated 45-year career is 0.7985.

Step-by-step explanation:

The question is related to the reliability function.

The reliability of the dam built follows an Exponential distribution with mean time between failure as 200 years.

Then the parameter of the exponential distribution will be:

$\lambda=\frac{1}{200}=0.005$

The reliability function for the time in which the dam will overtop is given by:

$R(t)=e^{-\lambda t}$

Compute the probability that the very first dam you designed will overtop during your anticipated 45-year career as follows:

$R(t)=e^{-\lambda t}$

$R(45)=e^{-0.005\times 45}$

$=e^{-0.225}\\=0.7985$

Thus, the probability that the very first dam you designed will overtop during your anticipated 45-year career is 0.7985.

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3 years ago

In a certain supermarket, a sample of 60 customers who used a self-service checkout lane averaged 5.2 minutes of checkout time,

bulgar [2K]

Answer:

Step-by-step explanation:

I sample :

Sample size n1 = 60

Sample average = x bar = 5.2 minutes

STd deviation sample = s1 = 3.1 minutes

II sample:

n2 = 72

y bar = 6.1

s2 = 2.8 minutes

Mean difference = -0.9

Std error for difference = $\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2} } \\=0.5187$

t statistic = mean diff/se = -1.735

p value = 0.0848

Since p >0.05 we accept null hypothesis that there is no difference between the two averages

Conclusion:

a) We cannot conclude that the mean checkout time is less for people who use the self-service lane

b) NO, we cannot conclude that if everyone used the self-service lane, that the mean checkout time would decrease

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3 years ago

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No, 600 is 1.2 of 500

hope this helps

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3 years ago

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Answer:

Step-by-step explanation:

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2 years ago

Which transformation(s) can be used to map one

kirill115 [55]

The transformation(s) that can be used to map one triangle onto the other is : (C). dilation, then translation

<h3>Meaning of dilation and translation</h3>

Dilation can be defined as the process of compressing and reducing a shape to a particular scale

Translation can be defined as a process of transferring a shape from one point to another.

In conclusion, The transformation(s) that can be used to map one triangle onto the other is : (C). dilation, then translation

Learn more about dilation and translation: brainly.com/question/21369817

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