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KiRa [710]
3 years ago
6

A rectangular prism of volume 3200 mm has a rectangular base of 10 mm and width 8 mm. Find the height h of the prism

Mathematics
1 answer:
Orlov [11]3 years ago
4 0

Answer:

40 mm

Step-by-step explanation:

The rectangular prism of a rectangular box. The volume is given by the formula:

<u>Volume of Rectangular Prism</u> = length * width * height

Given Volume = 3200

Length = 10

Width = 8

We need to find height. So we plug in the given information and find the height, in mm. Shown below:

Volume = Length * Width * Height

3200 = 10 * 8 * Height

3200 = 80 * Height

Height = 3200/80

Height = 40 mm

The height (h) = 40 mm

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The US Department of Energy reported that 48% of homes were heated by natural gas. A random sample of 333 homes in Oregon found
Lera25 [3.4K]

Answer:
Option B) Do not reject null hypothesis, there is not enough evidence to support the claim that the proportion of homes in Oregon heated by natural gas is different from the 48% that the US Department of Energy reported.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 333
p = 48% = 0.48
Alpha, α = 0.01
Number of women belonging to union , x = 149
First, we design the null and the alternate hypothesis  

This is a two-tailed test.  
Formula:


Putting the values, we get,

Now, we calculate the p-value from the table.
P-value = 0.273079
Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.
Thus, there is not enough evidence to support the claim that proportion of homes in Oregon that were heated by natural gas is different from what was reported.
B. Do not reject null hypothesis, there is not enough evidence to support the claim that the proportion of homes in Oregon heated by natural gas is different from the 48% that the US Department of Energy reported.
8 0
3 years ago
Si el largo del macizo de flores es (x +3) el ancho es (2x -3) y el perímetro es 30 pies,cual es el valor de x
Dafna11 [192]

Answer:

x = 48.62

Step-by-step explanation

Perímetro = diámetro/pi

(2x - 3)/pi = 30 pies

2x - 3 = 30 * pi

2x - 3 = 94.25

2x = 94.25 +3

x = 97.2/2

x = 48.6

3 0
2 years ago
-3 (3c + 5) = 2 (10 - c)
Ilya [14]

Answer:-5

Step-by-step explanation:

You need to distribute on both sides so u get

9c-15=20-2c

Move variable to left side and change the sign

-9c+2c-15=20

Move constant to right side and change the sign

-9c+2c=20+15

Connect like terms

-7c=35

Divide

C=-5

5 0
2 years ago
Use a calculator to find decimal estimates to two decimal places (hundredths) for the following irrational number: √19​
lara [203]

Answer:

The answer is 4.35, rounded two decimals to hundredths place.

<em>some text here to make the answer slightly longer for some good reasons. yep.</em>

6 0
2 years ago
Evaluate 9(x + 5y) for x = 2 and y = 5.
Orlov [11]

Answer:

243

Step-by-step explanation:

STEP 1: Evaluate the variables

9(2 + (5)(5))

STEP 2: Then from there you can multiply the equation

18 + 225 = 243

6 0
3 years ago
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