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Black_prince [1.1K]
3 years ago
6

What is the volume of the prism, to the nearest cubic inch?

Mathematics
1 answer:
vampirchik [111]3 years ago
8 0

the volume of the prism is 16

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1. Solve the system by using a table. 3y=4x+7 , -4x-4y=28. These are the possible solutions: A) (–4, –3), B) (–3, –4), C) (4, 3)
melisa1 [442]
<span>The first question:
3y=4x+7            (1)
-4x-4y=28          (2)

Let's plug in x = -4, -3, 3, and 4 and see the y-values :)

I have attached the table since it's hard to make a table with text :P
As you can see, when x = -4, that is when the y-values are equal. That means that is the solution to the system of equations. Your answer is A) (-4, -3).

The second question:
</span><span>-3x-y=-10    (1)
4x-4y=8       (2)
</span>
When you graph both equations, you will see that they intersect at D) (3, 1).

The third question:
We need to find the lines for revenues and expenses. 
To find the line for revenues, make months the x-value and revenues the y-values. And find the equation. You should get y = 4,100x + 300.
To find the line for expenses, make months the x-value and expenses the y-values. And find the equation. You should get y = 1,900x + 19,990.

Now graph both solutions and see where they intersect. They intersect at approximately (8.95, 36995)

That would be during the month of C) August.

4 0
3 years ago
Read 2 more answers
Write a ratio for the perimeter to the Area <br> Length=3 cm<br> Height= 10 cm
ivolga24 [154]

Answer:

3:10

Step-by-step explanation:

4 0
3 years ago
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Various studies indicate that approximately 11% of the world's population is left handed. You think this number is actually high
Irina-Kira [14]

Answer:

a. H0 : p ≤ 0.11 Ha : p >0.11 ( one tailed test )

d. z= 1.3322

Step-by-step explanation:

We formulate our hypothesis as

a. H0 : p ≤ 0.11 Ha : p >0.11 ( one tailed test )

According to the given conditions

p`= 31/225= 0.1378

np`= 225 > 5

n q` = n (1-p`) = 225 ( 1- 31/225)= 193.995> 5

p = 0.4 x= 31 and n 225

c. Using the test statistic

z=  p`- p / √pq/n

d. Putting the values

z= 0.1378- 0.11/ √0.11*0.89/225

z= 0.1378- 0.11/ √0.0979/225

z= 0.1378- 0.11/ 0.02085

z= 1.3322

at 5% significance level the z- value is ± 1.645 for one tailed test

The calculated value falls in the critical region so we reject our null hypothesis H0 : p ≤ 0.11 and accept  Ha : p >0.11 and  conclude that the data indicates that the 11% of the world's population is left-handed.

The rejection region is attached.

The P- value is calculated by finding the corresponding value of the probability of z from the z - table and subtracting it from 1.

which appears to be 0.95 and subtracting from 1 gives 0.04998

8 0
3 years ago
Of the following transformation types, which are examples of isometry?
Brrunno [24]
Isometry means lengths are preserved, and hence shapes must remain congruent.

Any dilation, stretching, etc are therefore excluded.

The transformations on the list that are examples of isometry are therefore:
rotation
translation
reflection
3 0
3 years ago
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Jimmy earns $9.25 per hour working at a local grocery store. If Jimmy earned $74 last week, which equation would be used to dete
Alekssandra [29.7K]
9.25h=74 you multiply h by 9.25
8 0
3 years ago
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