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kykrilka [37]
3 years ago
15

Geometry math question

Mathematics
2 answers:
Nutka1998 [239]3 years ago
6 0

JK = 82

JH = 22

HK = JK - JH

HK = 82 - 22

HK = 60

Answer: C. 60

Mamont248 [21]3 years ago
3 0

JK = JH + HK

JK = 82

JH = 22

So, HK = 82 - 22 = 60, or choice (C).

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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
describe a system of equations in which subtraction would be the most efficient way of solving the system.
Sati [7]
Read https://www.wyzant.com/resources/answers/2997/how_do_you_figure_out_how_to_determine_the_best_method... and I think that will answer your question (:

7 0
3 years ago
Kim scored 33 points at her basketball game game with a combination of 2-point shots and 3-point shots. If she made a total of 1
Rudik [331]

Answer:

(12, 3)

Step-by-step explanation:

write the equation:

if x = number of 2 point shots

and y = number of 3 point shots

2x + 3y = 33

write another equation with the total baskets

x + y = 15

plug them both into desmos and find the solution

(12, 3)

she made 12 2-point shots and 3 3-point shots

3 0
3 years ago
Read 2 more answers
Mrs. McCarthy bought 1.5 pounds of chicken from Smiths. She paid a total of $6.75 for the chicken. What was the price per pound?
REY [17]

$ 6.75/ 1.5 lbs

$4.50 per lb

4 0
3 years ago
Which one would make me more money?
disa [49]

Answer:

im gouing to use 3 hours as an example so the first hour is 5 dollars and 8 dollars for each additional hour there are 2 additional hours which would be 16 dollars from the additional hours and plus 5 dollars from the first hour so 21 dollars

and the other option like i said earlier 3 hours is the example so 6*2 becasue their are 2 additional hours which is 12 plus 15 dollars from the first hour so 27 dollars

so the answer would be charge 15 dollars for the first hour and 6 for additional hour

can i get brainly please

3 0
3 years ago
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