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Bumek [7]
2 years ago
7

Find the two square roots of 121.

Mathematics
2 answers:
Eva8 [605]2 years ago
7 0

Answer: 11 and -11

Step-by-step explanation:

√121 = ±11

Alex787 [66]2 years ago
5 0

Answer:

11 and -11

Step-by-step explanation:

This problem can really only be solved either by way of a calculator or simple memorization. In this case, the product (121) is a perfect square root, meaning it has a whole number answer. One square root of 121 is 11. The second square root of 121 is -11.

\sqrt{121} = 11

\sqrt{121} = -11

You can check your work by squaring your answer and seeing whether it equals the product. Remember, a negative number times another negative number results in a positive answer.

11^{2} = 121

-11^{2} = 121

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Suppose it is known that the distribution of purchase amounts by customers entering a popular retail store is approximately norm
iragen [17]

Answer:

a. 0.691

b. 0.382

c. 0.933

d. $88.490

e. $58.168

f. 5th percentile: $42.103

95th percentile: $107.897

Step-by-step explanation:

We have, for the purchase amounts by customers, a normal distribution with mean $75 and standard deviation of $20.

a. This can be calculated using the z-score:

z=\dfrac{X-\mu}{\sigma}=\dfrac{85-75}{20}=\dfrac{10}{20}=0.5\\\\\\P(X

The probability that a randomly selected customer spends less than $85 at this store is 0.691.

b. We have to calculate the z-scores for both values:

z_1=\dfrac{X_1-\mu}{\sigma}=\dfrac{65-75}{20}=\dfrac{-10}{20}=-0.5\\\\\\z_2=\dfrac{X_2-\mu}{\sigma}=\dfrac{85-75}{20}=\dfrac{10}{20}=0.5\\\\\\\\P(65

The probability that a randomly selected customer spends between $65 and $85 at this store is 0.382.

c. We recalculate the z-score for X=45.

z=\dfrac{X-\mu}{\sigma}=\dfrac{45-75}{20}=\dfrac{-30}{20}=-1.5\\\\\\P(X>45)=P(z>-1.5)=0.933

The probability that a randomly selected customer spends more than $45 at this store is 0.933.

d. In this case, first we have to calculate the z-score that satisfies P(z<z*)=0.75, and then calculate the X* that corresponds to that z-score z*.

Looking in a standard normal distribution table, we have that:

P(z

Then, we can calculate X as:

X^*=\mu+z^*\cdot\sigma=75+0.67449\cdot 20=75+13.4898=88.490

75% of the customers will not spend more than $88.49.

e. In this case, first we have to calculate the z-score that satisfies P(z>z*)=0.8, and then calculate the X* that corresponds to that z-score z*.

Looking in a standard normal distribution table, we have that:

P(z>-0.84162)=0.80

Then, we can calculate X as:

X^*=\mu+z^*\cdot\sigma=75+(-0.84162)\cdot 20=75-16.8324=58.168

80% of the customers will spend more than $58.17.

f. We have to calculate the two points that are equidistant from the mean such that 90% of all customer purchases are between these values.

In terms of the z-score, we can express this as:

P(|z|

The value for z* is ±1.64485.

We can now calculate the values for X as:

X_1=\mu+z_1\cdot\sigma=75+(-1.64485)\cdot 20=75-32.897=42.103\\\\\\X_2=\mu+z_2\cdot\sigma=75+1.64485\cdot 20=75+32.897=107.897

5th percentile: $42.103

95th percentile: $107.897

5 0
3 years ago
Find the length of a square with an area of 169 in2.
mrs_skeptik [129]

Find the length of a side of a square with an area of 169 in^2.

Answer:

D. 13 in

Step-by-step explanation:

A square has sides of equal length.

A = L^2 where:  A = area  and  L = side

L^2 = 169

L=√169

L=13 in^2.    

6 0
3 years ago
Which of the following describes how to translate the graph y=|x| to obtain the graph of y=|x-6|
Lera25 [3.4K]

You transformed the function as follows:

f(x)\mapsto f(x-6)

All trasformations of the fashion f(x)\mapsto f(x+k) translate the function horizontally, k units right if k is positive, k units left if k is negative.

In your case, k=6, so you translated the original function y=|x| 6 units to the right.

7 0
3 years ago
Divide <br> 8 2/5 ÷ (-2 1/5)
lesantik [10]

8 2/5 ÷(-2 1/5) = -3.81818181818

6 0
3 years ago
Need help help on this question
balu736 [363]

Answer:70

Step-by-step explanation:

step 1:add up the angles you know

step 2:subtract the answer (220) from the total angle measure of a square which is 360 then you get 140

step 3: divide 140 by 2 because the two angles on the sides are equivalent and you get 70

6 0
3 years ago
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