Ask question

Ask question

All categories

3 years ago

14

HELP ME Twelve out of the first 100 people who entered the mall were wearing glasses. If this sample is representative of 550 pe

ople who entered the mall, about how many of them will probably be wearing glasses?

1 answer:

qaws [65]3 years ago

3 0

So, we write a fraction, which would be 12/100. Then we would do 12/100 = x/550. You could divide 100 by 550, which is 5.5. Then we would multiply 5.5 by 12, which is 66. So 66 people would be wearing glasses.

You might be interested in

Twenty percent of drivers driving between 10 pm and 3 am are drunken drivers. In a random sample of 12 drivers driving between 1

Lesechka [4]

Answer:

(a) 0.28347

(b) 0.36909

(c) 0.0039

(d) 0.9806

Step-by-step explanation:

Given information:

n=12

p = 20% = 0.2

q = 1-p = 1-0.2 = 0.8

Binomial formula:

$P(x=r)=^nC_rp^rq^{n-r}$

(a) Exactly two will be drunken drivers.

$P(x=2)=^{12}C_{2}(0.2)^{2}(0.8)^{12-2}$

$P(x=2)=66(0.2)^{2}(0.8)^{10}$

$P(x=2)=\approx 0.28347$

Therefore, the probability that exactly two will be drunken drivers is 0.28347.

(b)Three or four will be drunken drivers.

$P(x=3\text{ or }x=4)=P(x=3)\cup P(x=4)$

$P(x=3\text{ or }x=4)=P(x=3)+P(x=4)$

Using binomial we get

$P(x=3\text{ or }x=4)=^{12}C_{3}(0.2)^{3}(0.8)^{12-3}+^{12}C_{4}(0.2)^{4}(0.8)^{12-4}$

$P(x=3\text{ or }x=4)=0.236223+0.132876$

$P(x=3\text{ or }x=4)\approx 0.369099$

Therefore, the probability that three or four will be drunken drivers is 0.3691.

(c)

At least 7 will be drunken drivers.

$P(x\geq 7)=1-P(x$

$P(x\leq 7)=1-[P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)+P(x=6)]$

$P(x\leq 7)=1-[0.06872+0.20616+0.28347+0.23622+0.13288+0.05315+0.0155]$

$P(x\leq 7)=1-[0.9961]$

$P(x\leq 7)=0.0039$

Therefore, the probability of at least 7 will be drunken drivers is 0.0039.

(d) At most 5 will be drunken drivers.

$P(x\leq 5)=P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)$

$P(x\leq 5)=0.06872+0.20616+0.28347+0.23622+0.13288+0.05315$

$P(x\leq 5)=0.9806$

Therefore, the probability of at most 5 will be drunken drivers is 0.9806.

5 0

3 years ago

Vanessa uses the expressions (3x2 + 5x + 10) and (x2 – 3x – 1) to represent the length and width of her patio. Which expression

Brut [27]

The area of rectangle with length l and width w is

$A=l\cdot w.$

If the length of rectangle is expressed as $l=3x^2 + 5x + 10$ and the width of rectangle is expressed as $w=x^2-3x-1$ , then the area of rectangle is

$A=(3x^2 + 5x + 10)(x^2-3x-1)=3x^4-4x^3-8x^2-35x-10.$

8 0

3 years ago

Read 2 more answers

Complete the table for the following equation then graph the line. (Show steps in the middle column of table) y=-3x-2

kotegsom [21]

Answer:

Step-by-step explanation:

3 0

2 years ago

Which statements are true about the polynomial 4x3 – 6x2 + 8x – 12?

olga2289 [7]

1. correct- factor: 4

2. correct- factor: 4

3. Incorrect- The polynomial is not prime, and the factored polynomial is 4(2x-3)

4. Incorrect

7 0

3 years ago

Which of the following is most likely the next step in the series?<br>

TiliK225 [7]

Answer:

C.

Step-by-step explanation:

Well if 1 is blue and 2 is tan and 3 is blue and across from 1.

Then 4 will be tan because it is across from 2 which is tan.

C.

3 0

3 years ago

Read 2 more answers