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Mazyrski [523]
3 years ago
8

A rectangular classroom is 11 feet long, 41 feet wide and has a volume of 2,998 cubic feet. how high above the floor is the ceil

ing?
Mathematics
2 answers:
Sunny_sXe [5.5K]3 years ago
4 0

Answer:

Step-by-step explanation:

volume = L*W*H

2998 ft^3 = 11 *41 * H

2998ft^3 = 451 *H

find h = 2998ft^3/451

H = 6.65ft

Bingel [31]3 years ago
3 0
If you divide 2,998 by 451(11 * 41), the answer is 6.6474 feet.
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Jack Matthew bought a new diamond ring for $20,000. Sales tax is 5% with a 10% excise tax. The total price including taxes that
Blizzard [7]

Jack paid $ 23000 for the ring.

<u>Solution:</u>

Given that, Jack Matthew bought a new diamond ring for $20,000

Sales tax is 5% with a 10% excise tax

<em><u>To find: total price including taxes</u></em>

Given that sales tax is 5% of 20,000

\begin{array}{l}{\text { Sales tax }=5 \% \times \text { cost price }} \\\\ {\text { Sales tax }=\frac{5}{100} \times 20000=5 \times 200=1000}\end{array}

Also given that excise tax is 10%

\begin{array}{l}{\text { Excise tax }=10 \% \times \text {cost price }} \\\\ {\text { Excise tax }=\frac{10}{100} \times 20000=10 \times 200=2000}\end{array}

<em>Total price = cost price + sales tax + excise tax</em>

Total price = 20,000 + 1000 + 2000

Total price = 23000

Hence, jack paid $ 23000 for the ring.

5 0
4 years ago
The profit of a cell-phone manufacturer is found by the function y = -2x^2 + 108x + 75 , where x is the cost of the cell phone.
vodomira [7]

Maximum price is 1

Put 1 in equation

\\ \rm\hookrightarrow y=-2(1)^2+108(1)+75

\\ \rm\hookrightarrow y=-2+183

\\ \rm\hookrightarrow y=181

3 0
2 years ago
A tire company has developed a new type of steel-belted radial tire. Extensive testing indicates the population of mileages obta
Andru [333]

Answer:

Step-by-step explanation:

According to the given question, a tire company has developed a new type of steel-belted radial tire. Extensive testing indicates the population of mileages obtained by all tires of this new type is normally distributed with a mean of 37,000 miles and a standard deviation of 3,887 miles.

Let us define X be the random variable shows that the mileages tires normally distributed with

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μ = 37000

standard deviation

σ =3, 887

Therefore

X ~ (μ = 37000, σ =3,887)

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P(X < k) = 0.02

\Rightarrow P\left ( \frac{X-\mu }{\sigma }\leq \frac{k-\mu }{\sigma } \right )=0.02&#10;\\\\P\left ( Z \leq \frac{k-37,000 }{3,887 } \right )=0.02

From the standard normal curve 2% area is determined as -2.0537 and hence

\frac{k-37,000}{3,887}=-2.0537\\\\k=37000-7982.7319\\\\k=29017.2681\\\\\Rightarrow k=29018

If we consider z value at two decimal places then

\frac{k-37,000}{3,887} =-2.05\\\\\Rightarrow k=29032&#10;

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The area under the standard normal curve is determined as:

6 0
4 years ago
If<br>1+1=6<br>2+5=7<br>3+4=9<br>6+8=8 Then,<br><br>7+9=????​
Alik [6]

9

Now, you can think of it from the words.

1+1 spelled out is ONE+ONE. There are 6 words. So, it's 6.

TWO+FIVE=7

THREE+FOUR=9

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3 0
4 years ago
PLZZZ HURRY!!<br> What is the series in summation notation?
dexar [7]

Answer:

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Step-by-step explanation:

I hope it's help u

6 0
3 years ago
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