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tino4ka555 [31]
4 years ago
7

Cydney.bulit a display stand out of two cubes. The large Cube is 8 inches on each side. The smaller cube is 4 inches on each sid

e. She painted the entire outside of each cube before she put the cubes together.
1. What was the surface area she painted for the smaller cube?


2. What was the surface area she painted of the large cube

3. What was the total area that she painted on both Cubes
Mathematics
1 answer:
wlad13 [49]4 years ago
4 0

Answer:

Step-by-step explanation:

Surface area formula= 6×side^2.

1. Side=4=>area=6×4^2=6*16=96 inches^2.

2.side=8=>area=6×8^2=6*64= 384 inches^2

3. 384+96=480 inches^2

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Normal Distribution Problem. Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy
GarryVolchara [31]

Answer: a) 0.9332, b) 0.8944

Step-by-step explanation: the probability value attached to a z score is gotten by using a z distribution table.

The z score is gotten by making use of the formulae below

Z = x - u / σ

Where x = sample mean, u = population mean and σ = population standard deviation.

a)

For our question, u = 38, σ = 12, we are to look for the z score at z ≤ 56, that's x = 56

By substituting the parameters, we have that

z ≤ 56 = 56 - 38/ 12

z ≤ 56 = 18/12

z ≤ 56 = 1.5

To get the probabilistic value, we check the normal distribution table.

The table I'm using will be giving me probabilistic value towards the left of the area.

From the table, p ( z ≤ 56) = 0.9332.

b)

Z >23 = 23 - 38/ 12

Z >23 = - 15/ 12

Z >23 = - 1.25

The probability value of this z score is towards the right of the distribution but the table I'm using is only giving probability values towards the left.

Hence Z >23 = 1 - Z<23

From the table, Z<23 = 0.1056.

Z >23 = 1 - 0.1056

Z >23 = 0.8944

4 0
3 years ago
Read 2 more answers
The quality control manager at a computer manufacturing company believes that the mean life of a computer is 120 months, with a
IrinaK [193]

Answer:

P(X<118.81)=0.0803

Step-by-step explanation:

Assuming the distribution for the mean life is approximately normal, with mean 120 months and variance 64 months^2, we can calculate the parameters for a sampling distribution with sample size = 89 computers.

The sampling distribution mean will be equal to the mean for a single computer:

\mu_{89}=\mu=120

The standard deviation will be adjusted by the sample size as:

\sigma_{89}=\sqrt{\sigma^2/n}=\sqrt{64/89}=\sqrt{0.719}=0.848

With these parameters, we can calculate the z-score for X=118.81.

z=\dfrac{X-\mu}{\sigma}=\dfrac{118.81-120}{0.848}=\dfrac{-1.19}{0.848}=-1.403

Then, the probability that the mean of a sample of 89 computers is less than 118.81 months is:

P(X

7 0
3 years ago
Hiiiiii :) do anyone wanna talk?
Alinara [238K]
Hey and yes, also can you help me with something??!
7 0
3 years ago
What is the slope of the line that passes through the points (1,7) and (-4,-8)?
julia-pushkina [17]

Answer:

The slope of the line that passes through the points (1,7) and (-4,-8) is 3.

Step-by-step explanation:

The equation of a line has the following format.

y = ax + b

In which a is the slope.

Passes through the point (1,7)

When x = 1, y = 7

So

y = ax + b

7 = a + b

Passes through the point (-4, -8)

When x = -4, y = -8

So

y = ax + b

-8 = -4a + b

We have to solve the following system

a + b = 7

-4a + b = -8

We want to find a.

From the first equation

b = 7 - a

Replacing in the second equation

-4a + b = -8

-4a + 7 - a = -8

-5a = -15

5a = 15

a = \frac{15}{5}

a = 3

The slope of the line that passes through the points (1,7) and (-4,-8) is 3.

3 0
3 years ago
Four different digits from 1 to 9 are required to open a safe.
masha68 [24]

Answer:  5942

<u>Step-by-step explanation:</u>

Clue 4 states exactly two of the digits = 1, 4, or 9

Clue 1 leaves us with the following combinations:

1, 9, 2, 8

1, 9, 3, 7    eliminate by clue 5

4, 9, 2, 5

1, 4, 7, 8

Clue 5 directs us to the following order for 1,9,2,8

2 __ __ 1     --> 2981 or 2891   eliminate by clue 2

9 __ __ 8    --> 9128 or 9218   eliminate by clue 6

9 __ __ 2    --> 9182 or 9812   eliminate by clue 6

Clue 5 directs us to the following order for 4,9,2,5

5 __ __ 2     --> 5492 or 5942   eliminate 5492 by clue 2

9 __ __ 2    --> 9452 or 9542   eliminate by clue 3

Clue 5 directs us to the following order for 1,4,7,8

4 __ __ 1    --> 4781 or 4871    eliminate by clue 2

The only combination not eliminated is 5-9-4-2, which satisfies all six clues.

1) 5 + 9 + 4 + 2 = 20

2) 5 > 4

3) 9 - 2 > 5

4) 4 & 9 but not 1 are included

5) 5 + 2 = 7, which is a prime number

6) 2 <  5, 9, 4

5 0
3 years ago
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