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3 years ago

At dan's school,6 out of every 10 kids know how to swim. If there are 350 kids in his school,how many know how to swim?

2 answers:

5 0

If the ratio of kids who know how to swim is 6:10, that means that 60% of the schools population knows how to swim. So you can multiply 350 by 0.60 to get 210 kids.

You can show why the calculation is true since 6/10 = x/350. We can say the two ratios are equal since 6/10 ratio holds true for every group of 10 that leading up to a total number of 350. (you can have 35 groups of 10 each one having a 6 to 10 ratio. (6/10)x(35/35)=210/350

Bogdan [553]3 years ago

4 0

210 because if you multiply 10 by 35 to get 350 you have to multiply 6 by 35 then you get 210

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Eight identical slips of paper, each containing one number from one to eight, inclusive, are mixed up inside a bag. Subset A of

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Answer: The correct option is (C) A = {1, 2, 3, 4, 5, 7, 8}.

Step-by-step explanation: Given that eight identical slips of paper, each containing one number from one to eight, inclusive, are mixed up inside a bag.

The sample space, S will be

S = {1, 2, 3, 4, 5, 6, 7, 8}.

Subset A of the sample space represents the complement of the event in which the number 6 is drawn from the bag.

Let, 'B' represents the event in which the number 6 is drawn from the bag.

So, B = {6}.

Since 'A' is the complement of 'B', so the set 'A' will contain those element of the sample space 'S' that are not in the set 'B'.

Therefore,

A = B' = {1, 2, 3, 4, 5, 7, 8}

⇒ A = {1, 2, 3, 4, 5, 7, 8}.

Thus, (C) is the correct option.

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3 years ago

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What is the slope of the line that passes through the pair of points? (1, 7), (10, 1) A. –2/3 B. 3/2 C. 2/3 D. –3/2

Orlov [11]

Slope = (y2 - y1)/(x2 - x1) = (1 - 7)/(10 - 1) = -6/9 = -2/3

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3 years ago

Use the Distributive Property to find the product mentally. Show the steps you used 5 x 47

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3 years ago

You apply for a job and have to take a drug test. You are curious about the error rate for the test so you do some research. You

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Answer:

Test statistic Z = -1.0

|Z| = |-1.0| < 1.96 at 0.05 level of significance.

The null hypothesis is accepted

The company that produces the drug test claims that less than 14% of the test results are wrong

Step-by-step explanation:

Step(i):-

Given that the population proportion P = 14% =0.14

Given that the sample size 'n' = 382 tests

Given that find a study where 47 out of 382 test results using this test were wrong (either a false positive or a false negative).

Sample proportion

$p = \frac{x}{n} = \frac{47}{382} = 0.1230$

Null hypothesis: H₀ : P = 0.14

Alternative Hypothesis:H₁ : P≠ 0.14

Step(ii):-

Test statistic

$Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }$

$Z = \frac{0.1230-0.14}{\sqrt{\frac{0.14 X0.86}{382} } }$

Z = - 1.0

|Z| = |-1.0| < 1.96 at 0.05 level of significance.

Final answer:-

The null hypothesis is accepted

The company that produces the drug test claims that less than 14% of the test results are wrong

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