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3 years ago

Are the fractions 4/5 and 80/100 proportional to each other?

Mathematics

1 answer:

Flura [38]3 years ago

8 0

Answer:Yes they are proportional

Step-by-step explanation:

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A department store surveyed 428 shoppers, and the following information was obtained: 216 shoppers made a purchase, and 294 were

Maurinko [17]

Answer:

(a) 169

(b) 341

(d) 87

Step-by-step explanation:

Consider the Venn diagram below.

The total number of shoppers surveyed is, N = 428.

Number of shoppers who made a purchase, n (P) = 216

Number of shoppers who were satisfied with the service they received,

n (S) = 294

Number of shoppers who made a purchase but were not satisfied with the service, $n(S^{c}\cap P)$ = 47

(a)

The number of shoppers who made a purchase and were satisfied with the service = n (S ∩ P)

$n(S\cap P)=n(P)-n(S^{c}\cap P)\\=216-47\\=169$

(b)

The numbers of shoppers who made a purchase or were satisfied with the service = n (P ∪ S)

$n(P\cup S)=n(P)+n(S)-n(P\cap S)\\=n(P)+n(S)-n(S\cap P)\\=216+294-169\\=341$

(c)

The numbers of shoppers who were satisfied with the service but did not make a purchase = $n(S\cap P^{c})$

$n (S\cap P^{c} ) = n (S) - n (S \cap P)\\=294-169\\=125$

(d)

The number of shoppers who were not satisfied and did not make a purchase = $n(S^{c}\cap P^{c})$

$n(S^{c}\cap P^{c})=N-n(S\cup P)\\=N-n(P\cup S)\\=428-341\\=87$

6 0

3 years ago

vova2212 [387]

1.m+5=-7.3
m=-7.3-5
2.m+5=7.3
m=7.3-5
3. m+7.3=-5
m=-5-7.3
4.m+7.3=5
m=5-7.3
I hope this helped. :)

3 0

4 years ago

How do you find the y intercept when given points

tia_tia [17]

Answer:

On graph Y is vertical line and the intercept is where it matches x , as x is horizontal and always first to find. The usual equation to find x = 0 will always give you the y value in the given equation.

Step-by-step explanation:

3 0

3 years ago

Consider the following hypothesis test: H 0: 20 H a: < 20 A sample of 50 provided a sample mean of 19.4. The population stand

goblinko [34]

Answer: p-value is 0.016.

Step-by-step explanation:

Since we have given that

$H_0:\mu=20\\\\H_a:\mu$

Sample mean = 19.4

Sample size n = 50

Standard deviation = 2

We need to find the test statistic value which is given by

$z=\dfrac{\bar{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}\\\\\\z=\dfrac{19.4-20}{\dfrac{2}{\sqrt{50}}}\\\\\\z=\dfrac{-0.6}{0.28}\\\\z=-2.14$

p-value is given by

$P(Z>Z_{critical})\\\\=P(Z>-2.14)\\\\=0.016$

Hence, p-value is 0.016.

8 0

3 years ago

A fair die is cast four times. Calculate

Dvinal [7]

Answer:

That's incredible. I have that exact problem on my website.

Here is my explanation.

My website says probability = 0.131944444444445

https://www.1728.org/occupncy8.htm

Step-by-step explanation:

4 0

3 years ago