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klio [65]
3 years ago
15

When Henry surveyed 45 seventh-grade students at random in the school cafeteria, he found that 3 out of 15 liked reggae music. U

sing proportional reasoning, about how many of the 180 seventh-grade students in his school like reggae?
Mathematics
1 answer:
xxMikexx [17]3 years ago
4 0
3                       x
---------= --------- ---------
15                 180

15x=540
-----   ------= 36 students. 
15       15

Steps: Cross multiply to get 15x and 540. Divide both numbers by 15, then you found what x equals, which is the answer. 
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A market analyst is hired to provide information on the type of customers who shop at a particular store. A random survey is tak
sveta [45]

Complete question:

A market analyst is hired to provide information on the type of customers who shop at a particular store. A random survey is taken of 100 shoppers at this store. Of these 100, 73 are women. The shoppers The data is summarized below. we grouped in three age categories, under 30, 30 up to 50 and 50 and over. Women under 30 are 30, Men under 30 are 8 Women 30 to 50 are 25 and Men are 14 Women 50 and over are 18 and Men are 5.

Let W be the event that a randomly selected shopper is a woman. Let A be the event that a randomly selected shopper is under 30. a.) Find the probability of W. W (women Shoppers) = Find the probability of A. b.) Find the probability of A and W. c.) P (A and W) (Shoppers) d.) Find the probability of A or W. P(A or W) (Shoppers) e.) Find the probability of A given W

Answer:

A) P(W) = 73/100; B) P(A) = 38/ 100 C) 30 / 100

D) 81/100 E) 30/73

Step-by-step explanation:

- - - - - - - - Women Men Total

Under 30 - - - 30 - - - 8 - - 38

30 to 50 - - - - 25 - - 14 - - 39

50 & over - - - 18 - - - 5 - - -23

Totals - - - - - - 73 - - -27 - - 100

Recall:

Probability : P= (required outcome / Total possible outcomes)

A) probability of women shoppers: P(W)

Number of women shoppers = 73; total shoppers = 100

P(W) = 73/100

B) Probability of under 30: P(A)

= number of shoppers under 30 = 38

Tital number of shoppers = 100

P(A) = 38/ 100

C) probability of A and W; This is the probability that the selected person is a woman and under 30.

(W n A) = 30

= 30 / 100

D) probability of A or W:

P(A) + P(W) - P(A n W) :

(38 / 100 + 73 / 100 - 30 / 100) = (38+73-30) /100

= 81/100

E) probability of A given W:

P(A n W) / P(W) = 30/73

5 0
3 years ago
The function y = x2 is transformed to y = (x + 4)2. Which statement is true about the transformed function? It is an even functi
xxMikexx [17]
Even function: f(-x) = f(x). If you replace x by -x you should find the same function.
Odd function: f(-x) = -f(x). If you replace x by -x you  find the same function with opposite sign;
Is f(-x) = f(x)?
f(x) = (x+4)² =  x² + 8x +16
f(-x) = (-x+4)² = x² - 8x + 16, then it's not an even function

Is f(-x) = -f(x)?
f(-x) = (-x+4)² = x² + 8x + 16 , then it's not an odd function
It is neither an even nor an odd function
7 0
3 years ago
Expand the expression. Fill in the blanks and don't use spaces in your answer.<br><br> 4(x - 3)
trapecia [35]

Answer:

4x-12

Step-by-step explanation:

use distributive property and distribute the 4 through

5 0
2 years ago
Read 2 more answers
Cole slaw is my 13th reason why .__.
Elenna [48]
No way!!!!!!!!!!!!!!!!!!
8 0
3 years ago
Read 2 more answers
Find the value of z such that 0.96420.9642 of the area lies between −z−z and z. round your answer to two decimal places.
Brut [27]
If z represents the variable of the standard normal distribution curve N(0,1), which is symmetrical about z=0, then we look for
P(z)-P(-z)=0.9642=1-2P(-z) => P(-z)=(1-0.9642)/2=0.0179
=>
-z=-2.099192
=> z=2.099192
Check:
P(2.099192)-P(-2.099192)=0.9642  ok
7 0
3 years ago
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