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laiz [17]
3 years ago
9

Of the Grade 6 students surveyed, 12% bring their lunch to school. Suppose 24 sixth graders do this. How many Grade 6 students a

re at the school?
Mathematics
2 answers:
Natali5045456 [20]3 years ago
6 0
Do it with a proportion...

12(%)      24(out of total)
----    =   ------
100         x (the total)

Let's do it with the quick 'fish' method.

Go from 24 (the known number in the fraction with the var) and multiply by 100.

2400 you then divide it by 12, which equals 200.

There are 200 kids in total. 

To check: Put 24 over 200= 24/200
Divide 24 by 200=  0.12
Multiply that by 100, which equals 12.

So the final answer is 200.
Mandarinka [93]3 years ago
5 0
Let's set up a proportion

\frac{24}{x}  \frac{12}{100}

Solve:
24 x 100 = 2400
2400/12 = 200
x = 200

Hope this helped! If you have any more questions or don't understand, please comment or DM me. :)
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Answer:

H0: μ = 100 ; H1: μ > 100 ;

Test statistic = 0.75 ;

We fail to reject null ;

Kindly check explanation for the rest

Step-by-step explanation:

Given that :

H0: μ = 100

H1: μ > 100

Sample mean, x = 100.6 ; n = 9 ; sample Standard deviation, s = 2.4

Test statistic :

(x - μ) ÷ s/sqrt(n)

(100.6 - 100) ÷ 2.4 / sqrt(9)

0.6 ÷ 0.8 = 0.75

Probability of not rejecting the null :

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α = 0.05

Since, P > α ; we fail to reject the Null ; there is no sufficient evidence to accept the claim that mean strength is > 100 psi

μ + Zcritical*s/sqrt(n)

Zcritical at (1 - α) = 1.645

100 + 1.645*(2.4/3)

100 + 1.316 = 101.316

(x - μ) ÷ s/sqrt(n)

(101.316 - 102) ÷ 2.4 / sqrt(9)

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= - 0.855

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95% lower confidence interval :

x - error margin, E

E = Zcritical * s/sqrt(n)

E = 1.645 * 0.8 = 1.316

100.6 - 1.316 = 99.284

From part c :

Interval becomes ;

(99.284, 101.316) ; this interval contains the hypothesized mean value of 100. Hence we fail to reject the null.

8 0
2 years ago
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Answer:

2

Number line.

We start at -6 or -8.

If we start from -6, we will be going __ spaces to the left until we get to -8.

Or start from -8 and go __ spaces to the right until you get to -6.

Then count the spaces.

You'll get 2.

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