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densk [106]
3 years ago
15

 10  points for this                                                                                                            

                                   Raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. The table shows that the amount of water remaining in the bathtub, y, is a function of the time in minutes, x, that it has been draining.
What is the range of this function?
I need urgent help!!!

Mathematics
2 answers:
kow [346]3 years ago
3 0
<span>The range would be all real numbers such that 0 ≤ y ≤ 40.

hope this helps!</span>
astra-53 [7]3 years ago
3 0

Answer:

all real numbers such that 0≤y≤40

Step-by-step explanation:

We are given that Raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute.

So, rate of draining of water gallons per minute = -1.5

The amount of water remaining in the bathtub, y, is a function of the time in minutes, x, that it has been draining.

At 0 minutes the amount of water is 40 gallons.

So,the highest volume of water is 40 .

The given function is linear

And decreasing at the rate of 1.5 gallons per minute

y = 0

Since volume of water can be 0 but cannot be negative.

So, range of y is all real numbers such that 0≤y≤40

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Nonamiya [84]
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3 years ago
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OverLord2011 [107]

Answer:

1) p1=0.83

2) p2=0.81

3) Option B

4) p=0.82

5) s=0.03

6) z=0.67

7) P=0.50

8) Do not reject H0

Step-by-step explanation:

1) The proportion of Republicans who think the full-body scans should be applied in airports is equal to the ratio between the republicans that think it should over the total Republicans in the poll:

p=X/n=258/311=0.83

2) The proportion of Democrats who think the full-body scans should be applied in airports is equal to:

p=X/n=294/363=0.81

3) As we want to know if there is a difference in the proportions calculated, not if one is higher or lower than the other, the correct option is B:

H_0:p_1-p_2=0\\\\H_a:p_1-p_2\neq0

4) The pooled estimate of a proportion is the average of both proportions:

\bar{p}=\frac{p_1+p_2}{2}= \frac{0.83+0.81}{2}=0.82

5) The standard error can be calculated as:

s=\sqrt{\frac{\bar{p}(1-\bar{p})}{n_1} +\frac{\bar{p}(1-\bar{p})}{n_2}} \\\\s=\sqrt{\frac{0.82*0.18}{311} +\frac{0.82*0.18}{363}} \\\\s=\sqrt{0.00047+0.00041} =\sqrt{0.00088}=0.03

6) The z-statistic can be calculated as:

z=\frac{p_1-p_2}{s}=\frac{0.83-0.81}{0.03}=\frac{0.02}{0.03}=0.67

7) The P-value for z=0.67 is P=0.50 (from the standard normal distribution table).

2P(Z>|z|)=0.50286

8) If the significance level is 0.01, the P-value is bigger than the significance level. The effect is not significanct. The null hypothesis is not rejected.

There is not enough evidence to say that both proportions are different.

A. Do not reject H0

8 0
3 years ago
A preschool teacher has 17.5 feet of yarn for her students to make necklaces to raise money for a local animal shelter each neck
Scorpion4ik [409]
17.5x12=210
210 divided by 14=15
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37.5
17.5 is feet so you need to divide by 12 for inches which gets 210 and you need each necklace to be 14 inches so you need to divide 210 by 14 which is 15 each necklace costs 2.50 so you multiply 2.50x15
You get 37.5
7 0
2 years ago
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