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-Dominant- [34]
3 years ago
15

Suppose the life span of a calculator has a normal distribution with a mean of 60 months and a standard deviation of 8 months. W

hat is the probability that the calculator works properly for 74 months or more
Mathematics
1 answer:
rusak2 [61]3 years ago
7 0

Answer:

Probability that the calculator works properly for 74 months or more is 0.04 or 4%.

Step-by-step explanation:

We are given that the life span of a calculator has a normal distribution with a mean of 60 months and a standard deviation of 8 months.

Firstly, Let X = life span of a calculator

The z score probability distribution for is given by;

         Z = \frac{ X - \mu}{\sigma} ~ N(0,1)

where, \mu = population mean = 60 months

            \sigma = standard deviation = 8 months

Probability that the calculator works properly for 74 months or more is given by = P(X \geq 74 months)

     P(X \geq 74) = P( \frac{ X - \mu}{\sigma} \geq \frac{74-60}{8} ) = P(Z \geq 1.75) = 1 - P(Z < 1.75)

                                                   = 1 - 0.95994 = 0.04

Therefore, probability that the calculator works properly for 74 months or more is 0.04 or 4%.

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Margaret [11]

Answer:

7.3 feet

Step-by-step explanation:

osK=

hypotenuse

adjacent

​

=

35

x

​

\cos 78=\frac{x}{35}

cos78=

35

x

​

35\cos 78=x

35cos78=x

Cross multiply.

x=7.2769\approx \mathbf{7.3}\text{ feet}

x=7.2769≈7.3 feet

Type into calculator and round to the nearest tenth of a foot.

4 0
3 years ago
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Quick brain for first and 5 stars What steps should be taken to calculate the volume of the right triangular prism? Select three
Ierofanga [76]

Answer:

- Use the formula A = one-half b h to find the area of the base.

- The area of the base, A, is One-half (8) (14) = 56 meters squared.

- The volume of the prism, V is (56) (7) = 392 meters cubed

Step-by-step explanation:

To find the volume of right triangular prism, the following steps should be followed:

The formula bfor calculating the volume = Base Area × Height.

Step 1:

- Use the formula A = one-half b h to find the area of the base.

This formula of a triangle bus used because the base of a triangular prism is triangular in nature.

b is the base of the triangle

h is the height of the triangle

Step 2:

Given base if triangle = 8m

Height of triangle = 14m

We substitute this values into the formula of the base area to have the second step:

Base area = 1/2(8)(14) = 56m²

- The area of the base, A, is One-half (8) (14) = 56 meters squared.

Step 3:

Then we calculate the volume if the prism where height of the prism is 8m

volume of the prism = 56 × 7

= 392m³.

This gives us the final step

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8 0
3 years ago
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Question 4 (1 point)
Phantasy [73]

Answer:

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Step-by-step explanation:

as x was 1 in the first problem

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43..

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3 years ago
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The Chocolate Shoppe has a rectangular logo for their business that
tigry1 [53]

The equation that calculates the unknown side length, M of the Chocolate Shoppe rectangular logo is A = 3.1H

<h3>How to determine the equation?</h3>

The parameters in the question are:

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Represent the area of the logo with A, and L represents the unknown side

The area (A) of the rectangle is calculated using:

A = H * L

Substitute 3 1/10 for H

A = 3 1/10 * H

Express the fraction as decimal

A = 3.1H

Hence, the equation that could be used to determine the unknown side length, M of the logo is A = 3.1H

Read more about areas at:

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3 0
2 years ago
Help me plz now plz help me asap​
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\\ \sf\longmapsto 0.103=\dfrac{103}{1000}

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