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3 years ago

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It takes a hose 2 minutes to fill a rectangular aquarium 12 inches long, 13 inches wide, and 14 inches tall. How long will it ta

ke the same hose to fill an aquarium measuring 32 inches by 34 inches by 35 inches?

1 answer:

rusak2 [61]3 years ago

8 0

Volume of the first aquarium = (12" x 13" x 14") = 2,184 inches³

Volume of the second aquarium = (32" x 34" x 35") = 38,080 inches³

The second aquarium has (38,080 / 2,184) = 17.44 times as much
volume as the first aquarium has.

So it'll take the hose 17.44 times as long to fill the second one

= (17.44) x (2 minutes) = 34.9 minutes.

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Someone help pls -……

uysha [10]

Answer:

d) 35ft

e) 6 seconds

f) 250°

Step-by-step explanation:

If it makes one rotation (360°) in 36 seconds, then it turns 10° every second.

36 secs = 360°

⇒ 1 sec = 360/36 = 10°

d) After 9 seconds, it has turned:

9 x 10 = 90°

Therefore, it will be 15 + 20 = 35ft from the wall

e) 60° = 6 seconds

f) 25 seconds = 25 x 10 = 250°

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2 years ago

What is 12.5% As a fraction

tatiyna

12.5/100

This can be simplified to:

125/1000

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What are the constants in the expression below? 12x -3.7 -8y +1/3

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Anything without a variable in front.

In other words, the constants are -3.7 and 1/3

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Mr. Lopez wrote the equation 32 g + 8 g minus 10 g = 150 on the board. Four students explained how to solve for g.

dedylja [7]

Answer:

Option D.

Step-by-step explanation:

The given equation is

$32g+8g-10g=150$

It can be written as

$(32+8-10)g=150$

To solve this equation, add 32 and 8.

$(40-10)g=150$

Subtract 10 from 40.

$30g=150$

Divide both sides by 30.

$\dfrac{30g}{30}=\dfrac{150}{30}$

$g=5$

The value of g is 5 and wilhem is correct.

Therefore, the correct option is D.

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The following confidence interval for the population proportion for how many U.S. adults do not get enough fruits and vegetables

Zielflug [23.3K]

Answer:

The interval is constructed at 93% confidence.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The margin of error is the difference between these two bounds, divided by 2.

Confidence interval of proportions concepts:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

In this problem, we have that:

2050 people, so n = 2050.

Lower bound: 0.878

Upper bound: 0.903

$\pi = \frac{0.878 + 0.903}{2} = 0.8905$

$M = \frac{0.903 - 0.878}{2} = 0.0125$

Confidence level:

We have to find z.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.0125 = z\sqrt{\frac{0.8905*0.1095}{2050}}$

$0.0069z = 0.0125$

$z = \frac{0.0125}{0.0069}$

$z = 1.81$

$z = 1.81$ has a pvalue of 0.965.

That is:

$]1 - \frac{\alpha}{2} = 0.965$

$\frac{\alpha}{2} = 0.035$

$\alpha = 2*0.035$

$\alpha = 0.07$

Finally

$1 - \alpha = 1 - 0.07 = 0.93$

The interval is constructed at 93% confidence.

3 0

3 years ago