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3 years ago

Susan can read 15 pages in 45 minuets. How many pages can she read in 60 minutes

1 answer:

7 0

45mins ÷ 15pages = 3
so she reads 3pages per minute

3pages × 60minutes = 180

she read 180pages in 60minutes

hope this helps

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A study showed that 25% of the students drive themselves to school. Based on the suggested probability, in a class of 18 student

Gwar [14]

Answer:

B) 0.283

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

25% of the students drive themselves to school.

This means that $p = 0.25$

Class of 18 students

This means that $n = 18$

What would be the probability that at least 6 students drive themselves to school?

This is

$P(X \geq 6) = 1 - P(X < 6)$

In which

$P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{15,0}.(0.25)^{0}.(0.75)^{18} = 0.006$

$P(X = 1) = C_{15,1}.(0.25)^{1}.(0.75)^{17} = 0.034$

$P(X = 2) = C_{15,2}.(0.25)^{2}.(0.75)^{16} = 0.096$

$P(X = 3) = C_{15,3}.(0.25)^{3}.(0.75)^{15} = 0.17$

$P(X = 4) = C_{15,4}.(0.25)^{4}.(0.75)^{14} = 0.213$

$P(X = 5) = C_{15,5}.(0.25)^{5}.(0.75)^{13} = 0.199$

$P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.006 + 0.034 + 0.096 + 0.17 + 0.213 + 0.199 = 0.718$

$P(X \geq 6) = 1 - P(X < 6) = 1 - 0.718 = 0.282$

Closest option is B, just a small rounding difference.

4 0

3 years ago

A gym instructor has a total of 60 hand weight in her studio. Some of the hand weights are 3 pound weights and the rest are 5 po

Elden [556K]

Answer:

35 5-lb weights
25 3-lb weights

Step-by-step explanation:

Let t and f represent the numbers of three- and five-pound weights. The problem statement tells us ...

f + t = 60

f - t = 10

Adding these two equations, we get ...

(f +t) +(f -t) = (60) +(10)

2f = 70 . . . . . eliminate parentheses

f = 35 . . . . . . divide by 2

She has 35 5-lb weights, and 25 3-lb weights.

8 0

4 years ago

it costs 9.50 to enter wild life safari, 5$ for a bag of food, 3$ for a pop, 4$ for a sandwich, and 26$ for a photo. if a family

vagabundo [1.1K]

Answer:

$210

Step-by-step explanation:

9.50*4= 38

5*2=10*4=40

3*4= 12

4*4= 16

26*4= +104

---------

210

8 0

3 years ago

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Which graph shows a linear function?

uysha [10]

Linear functions are graphs with a straight line. With 1 independent and 1 dependent variable

5 0

3 years ago

Read 2 more answers

SOMEONE HELP ME!! PLEASE Solve the equation to find a positive value of c: 2 2 2 3 +4=c

stiv31 [10]

I think c would equal 7.

6 0

3 years ago