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Hitman42 [59]
3 years ago
12

Sergio got 80% on his math test. If he answered 24 questions correctly, how many questions where on his test?

Mathematics
2 answers:
DerKrebs [107]3 years ago
6 0
x-\ all\ questions\\\\
80\%x=24\\\\
0.8x=24\ \ \ \ | divide\ by\ 0.8\\\\
x=30
\\\\
There\ were\ 30\ qestions.
Vinvika [58]3 years ago
6 0
X- all questions x-80 x-0.8| divide by 0.8 x-30 30 questions were on the test.
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A company makes rubber rafts. 12% of them develop cracks within the first month of operation. 27 new rafts are randomly sampled
rewona [7]

The probability that the number of tested rafts that develop cracks is no more than 3 is <u>.00006</u>.

The true proportion, p for the population is given to 0.12.

Thus, the mean, μ, for the sample = np = 27*0.12 = 3.24.

The sample size, n, given to us is 27.

Thus, the standard deviation, s, for the sample can be calculated using the formula, s = √{p(1 - p)}/n.

s = √{0.12(1 - 0.12)}/27 = √0.003911 = 0.0625389.

We are asked to calculate the probability that the number of tested rafts that develop cracks is no more than 3, that is, we need to calculate P(X ≤3).

P(X ≤ 3)

= P(Z ≤ {(3 - 3.24)/0.0625389) {Using the formula z = (x - μ)/s}

= P(Z ≤ -3.8376114706)

= .00006 {From table}.

Thus, the probability that the number of tested rafts that develop cracks is no more than 3 is <u>.00006</u>.

Learn more about sampling distributions at

brainly.com/question/15507495

#SPJ4

8 0
2 years ago
Determine the solution set of (2x - 5)2 = 11.
zhenek [66]
I think what you meant was

(2x - 5)² = 11 -- (1)

Square root both sides of (1), i.e.

√(2x - 5)² = ± √11 -- (2)

From (2), we have

2x - 5 = ± √11 -- (3)

By adding 5 to both sides in (3), we have

2x = 5 ± √11 -- (4)

Divide both sides of (4) by 2, and we obtain

x = (5 ± √11)/2 -- (5)

From (5), the solution set of (1) is

x = (5 + √11)/2, (5 - √11)/2 ...Ans.
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Answer:

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Step-by-step explanation:

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Solve it by Substitution
natka813 [3]
30 in each bus. 17 in each van

To solve this problem, we first have to create a system of equations. After that, you set the equations equal to each other, and use that to simplify and find the value of one variable. Once that is found that answer can be plugged into one of the two original equations to find the other variable.

7 0
3 years ago
What’s 9/4 - 9/8 need it in a reduced fraction
Tasya [4]

Answer:

9/8 or 1 1/8

Step-by-step explanation:

9/4 - 9/8

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