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3 years ago

Can y’all please help me

Mathematics

1 answer:

chubhunter [2.5K]3 years ago

8 0

Answer:

the answer is 27cm cubed

Step-by-step explanation:

formula for volume of a rectangular prism is length x width x height and 3 x 3= 9 and 9 x 3 =27

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2. To estimate the mean age for a population of 4000 employees, a simple random sample of 40 employees is selected. a. Would you

ANEK [815]

Answer:

Step-by-step explanation:

Size of the population, N = 4000

Size of the sample, n = 40

n/N = 40/4000 = 0.01

0.01 is less than 0.05 and hence we would not us the finite population correction factor in calculating the standard error of the mean.

Population standard deviation is σ = 8.2

So, the standard error of x’ using the finite population correction factor is give by

σ(x’) = √[(N - n)/(N - 1)] x (sigma/√n)

σ(x’) = √[(4000 - 40)/(4000 - 1)] x (8.2/√40)

σ(x’) = 1.29

Standard error of x’ without using the finite population correction factor is

σ(x’) = σ/√n

σ(x’) = 8.2/√40 = 1.2965

There is little difference between the two values of the standard error. So we can ignore the population correction factor.

Let the population mean be μ

Probability that the sample mean will be within =-2 of the population mean is

P(μ– 2 < x’ < μ + 2)

At x’ = μ – 2 , we have

z = (μ – 2 – μ)/1.2965

z = -1.54

at x’ = μ + 2, we have

z = (μ + 2 – μ)/1.2965

z = 1.54

So the required probability is

P(μ – 2 < x’ < μ + 2) = p(-1.54< z < 1.54)

P(μ – 2 < x’ < μ + 2) = p(z < 1.54) – p(z < -1.54)

P(μ – 2 < x’ < μ + 2) = 0.9382 – 0.0618

P(μ – 2 < x’ < μ + 2) = 0.8764

7 0

3 years ago

Two choices greater than 3/5

Nata [24]

Answer:

39/50 is larger than 3/5.

Step-by-step explanation:

2/3 is larger than 3/5.

4 0

2 years ago

What theorem states that if two sides and the included angle of one triangle are congruent to the corresponding parts of another

lianna [129]

The given statement is proved by side-angle-side (SAS) theorem.

Yes, if two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle the triangles are congruent.

The statement is proved by SAS theorem

Side-Angle-Side (SAS) theorem:

The triangles are congruent if two sides and the included angle of one triangle are equivalent to two sides and the included angle of another triangle.

Hence, The given statement is proved by side-angle-side (SAS) theorem.

To read more about Angles

brainly.com/question/22472034

#SPJ4

7 0

1 year ago

Find the volume of the composite space figure to the nearest whole number.

Romashka [77]

Answer:

d. 944 mm^3

Step-by-step explanation:

The area of a circle is given by ...

A = πr² . . . . . where r is the radius, half the diameter

The area of a circle with diameter 9 mm is ...

A = π(4.5 mm)² = 20.25π mm²

The area of the semi-circular end of the prism is half this value, or ...

semicircle area = (1/2)(20.25π mm²) = 10.125π mm² ≈ 31.809 mm²

The area of the rectangular portion of the end of the prism is the product of its width and height:

A = wh = (9 mm)(6 mm) = 54 mm²

Then the base area of the prism is ...

base area = rectangle area + semicircle area

= (54 mm²) +(31.809 mm²) = 85.809 mm²

This base area multiplied by the 11 mm length of the prism gives its volume:

V = Bh = (85.809 mm²)(11 mm) ≈ 944 mm³

The volume of the composite figure is about 944 mm³.

7 0

3 years ago

What is the height of the prism if the surface area is 460 mm2?

8_murik_8 [283]

The answer of this question is B

5 0

3 years ago

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