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dolphi86 [110]
3 years ago
12

The area of a rectangular pool is (14x^2+21x) square feet. If it is 7x feet long, what is the width, in feet?

Mathematics
2 answers:
guapka [62]3 years ago
5 0
<span>(14x^2+21x) = 7x(2x + 3)

A= L * W

but L = 7x so W = </span>2x + 3
<span>
answer: </span><span>width is (2x +3) feet</span><span>

</span>
Sunny_sXe [5.5K]3 years ago
5 0

Answer:

you get (2x+3), because 14 divided by 7 = 2 and 21 divided by 7 = 3

Step-by-step explanation:

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3. The average age of online consumers a few years ago was 23.3 years with a standard deviation of 5.3 years. It is believed the
Slav-nsk [51]

Answer:

We cant say, with α =0.01, that the average age changed. The p-value is 0.014

Step-by-step explanation:

As a consecuence of the Central Limit Theorem, the mean sample has a distribution approximately normal, with unknown mean and standard deviation \sigma = 5.3/\sqrt{20} = 1.1851 (the standard deviation of one single sample divided by the  sqaure root of the sample lenght).

The null hypothesis H₀ is that the average age is still 23.3 (the mean is 23.3). The alternative hypothesis is that the mean is different. We want to see if we can refute H₀ with significance level α =0.01.

Lets call X the mean of a random sample of 20 online shoppers. As we discuse above, X is approximately normal with unknown mean and standard deviation equal to 1.1851 . If we take the hypothesis H₀ as True, then the mean will be 23.3, and if we standarize X, we have that the distribution

W = \frac{X - 23.3}{1.1851}

Will have a distribution approximately normal, with mean 0 and standard deviation 1.

The values of the cummulative ditribution of the normal function can be found in the attached file. Since we want a significance level of 0.01, then we need a value Z such that

P(-Z < W < Z) = 0.99

For the symmetry of the standard Normal distribution, we have that Φ(Z) = 1-Φ(-Z), where Φ is the cummulative distribution function of the standard Normal random variable. Therefore, we want Z such that

Φ(Z) = 0.995

If we look at the table, we will found that Z = 2.57, thus,

0.99 = P(-2.57 < W < 2.57) = P(-2.57 < \frac{X-23.3}{1.1851} < 2.57)\\ = P(-2.57*1.1851 + 23.3 < X < 2.57*1.1851 + 23.3) = P(20.254 < X < 26.345)

Thus, we will refute the hypothesis if the observed value of X lies outside the interval [20.254, 26.345].

Since the observed value is 26.2, then we dont refute H₀, So we dont accept that the number average age of online consumers has changed.

For us to refute the hypothesis we need Z such that, for the observed value, |W| > Z. Replacing X by 26.2, we have that [tex] W = \frac{26.2-23.3}{1.1851} = 2.4470. We can observe that Φ(2.447) = 0.993, substracting that amount from 1 and multiplying by 2 (because it can take low values too), we obtain that the p-value is 0.014.  

Download pdf
8 0
3 years ago
If biology is 40% and chemistry is 24% and earth science is blank and so is physics. There are 4% more students signed up for an
san4es73 [151]

Given data:

The given biology percentage is B=40%.

The given chemistry percentage is C=24%.

The percenage of earth science as compare to physics is E=P+4%.

The expresion for the sum of all subjects is,

B+C+E+P=100%

40%+24%+E+P=100%

E+P=36%.............................(I)

Substitute given value in the above expression.

P+4%+P=36%

2P=32%

P=16%

The nummber of students assigned earth science is,

E=16%+4%

=20%

Thus, the percentage of the students assigned to the physics subject is 16%.

6 0
1 year ago
What’s 127.2 divided by 14
Burka [1]
9.1 *rounded tot he nearest 10th place*
8 0
3 years ago
What is the order from least to greatest? <br> -3, 1 1⁄4, -1 3⁄4, 1⁄10
Marianna [84]

Answer:

11/4 1/10/3/4 -/-3

Step-by-step explanation:

3 0
3 years ago
To make 5 blueberry pies,Mindy needs about 2 pounds of blueberries. How many pounds of blueberries does Mindy need to make 20 bl
Vsevolod [243]
20 lol sorry if it’s wrong
6 0
2 years ago
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