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bekas [8.4K]
3 years ago
14

Pam received $125 for graduation and spend $8 of it a week. How many weeks can she do this

Mathematics
1 answer:
Vinvika [58]3 years ago
5 0

Answer:

13 weeks

Step-by-step explanation:

8×13=104

125-104=21$

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How do you write 14.8 as a mixed fraction<br> Step by step method please?
lisabon 2012 [21]
14.8=14+0.8\\\\0.8=\dfrac{8}{10}=\dfrac{8:2}{10:2}=\dfrac{4}{5}\\\\therefore\\\\14.8=14+\dfrac{4}{5}=\boxed{14\frac{4}{5}}
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3 years ago
What fraction of 20 is 18?
Vera_Pavlovna [14]

Remark

You have to read this carefully to know what way to write it.

One way you could write it would be

20 * x = 18 where x is  the fraction. Now all you need do is divide.

Divide both sides by 20

20/20 * x = 18/20

\text{x = } \dfrac{18}{20}

But you should reduce this fraction. The way to do that is to factor 18 and 20 into primes.

18: 2 * 3 * 3

20: 2 * 2 *5

Cancel out the Highest common factor or 2.

You are left with

\text{x = } \dfrac{18}{20} =\dfrac{2*3*3}{2*2*5}=\dfrac{3*3}{2*5} = \dfrac{9}{10} <<<< Answer

4 0
3 years ago
Read 2 more answers
In a survey, three out of four students said that courts show too much concern for criminals. Of seventy randomly selected stude
vladimir1956 [14]

Answer:

B. Yes, because P(X ≥ 68) ≤ .05

Step-by-step explanation:

The probability of a score X occuring is said to be unusually high if the probability of a score of X or larger is lower than 5%.

For each student, there are only two possible outcomes. Either they think that the court shows too much concern for criminals, or they do not think this. So we use the binomial probability distribution to solve this problem.

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.

In this problem we have that:

Three out of four students said that courts show too much concern for criminals. This means that p = \frac{3}{4} = 0.75

Would 68 be considered an unusually high number of students who feel that courts are partial to criminals?

We have to find P(X \geq 68).

P(X \geq 68) = P(X = 68) + P(X = 69) + P(X = 70)

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

P(X = 68) = C_{70,68}.(0.75)^{68}.(0.25)^{2} < 0.000001

P(X = 69) = C_{70,69}.(0.75)^{69}.(0.25)^{1} < 0.000001

P(X = 70) = C_{70,70}.(0.75)^{70}.(0.25)^{0} < 0.000001

So

P(X \geq 68) = P(X = 68) + P(X = 69) + P(X = 70) < 0.000003

P(X \geq 68) is lower than 0.05, so this is an unusually high number.

So the correct answer is:

B. Yes, because P(X ≥ 68) ≤ .05

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3 years ago
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anyanavicka [17]

Answer:

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We need to multiply the two equations by a constant that will eliminate the y terms.

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6x - 15y = -63

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Note: To solve the system of equations we can simply subtract the first from the second.

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Artemon [7]

Answer:

3. D

4. A

5. C

6. A

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3 0
2 years ago
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