X=2

Natalie has 24 pairs of white tennis shoe out of 90 pairs of shoes. Use estimation to find the percent of her shoe that are whit

amid [387]

24/90= 0.26666
Around 26.6% of her shoes are white

4 0

3 years ago

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

(c) 125

(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

PLEASE ANSWER PROPERLY The law of cosines is used to find the measure of Z.

gladu [14]

16² = 18² + 19² - 2(18)(19)cos(z)

256 = 324 + 361 - (684)cos(z)

256 = 685 - (684)cos(z)

-429 = -684cos(z)

cos(z) = -429/-684

z = cos⁻¹ (0.627)

z = cos⁻¹ (cos 51) [ Cos 51 = 0.627 ]

z = 51

In short, Your Answer would be: 51

Hope this helps!

3 0

3 years ago

There are 6 students. 2 of them are chosen for the position of president and Vice President. How many ways do we have to choose

Nutka1998 [239]

We have 15 ways to chose 2 students for the position of president and Vice President

Solution:

Given that,

There are 6 students. 2 of them are chosen for the position of president and Vice President.

To find: number of ways we have to choose the students from the 6 students

So now we have 6 students, out of which we have to choose 2 students

As we just have to select the students. We can use combinations here.

In combinations, to pick "r" items from "n" items, there will be $^{\mathrm{n}} \mathrm{C}_{\mathrm{r}}$ ways

$^{\mathrm{n}} \mathrm{C}_{\mathrm{r}}=\frac{n !}{(n-r) ! r !}$

Then, here we have to pick 2 out of 6:

Total students = n = 6

students to be selected = r = 2

$\begin{aligned} 6 C_{2} &=\frac{6 !}{(6-2) ! 2 !} \\\\ 6 C_{2} &=\frac{6 !}{4 ! 2 !} \\\\ 6 C_{2} &=\frac{6 \times 5 \times 4 \times 3 \times 2 \times 1}{4 \times 3 \times 2 \times 1 \times 2 \times 1} \\\\ 6 C_{2} &=15 \end{aligned}$

Thus we have 15 ways to chose 2 students for the position of president and Vice President

3 0

3 years ago

A process is operating at 0.15 fraction nonconforming. We desire to catch a shift to 0.19 fraction nonconforming on the fraction

Lena [83]

Answer:

Sample size>= 743

Step-by-step explanation:

7 0

3 years ago