Circle the fraction greater than 3/10? 1/33/114/15Or 29/100

Mathematics

1 answer:

mihalych1998 [28]2 years ago

3 0

Answer:

1/3 is the only fraction here that is greater than 3/10.

Step-by-step explanation:

Convert these to decimals first, which can make it easier.

1/3 as a decimal is 0.33333333333333333333333333... which is greater than 0.3, which is 3/10.

3/11 as a decimal is 0.27272727272727.... which is LESS than 0.3, which is 3/10.

4/15 as a decimal is 0.26666666666666666666666666666666, which is less than 0.3, which is 3/10.

29/100 as a decimal is 0.29, which is less than 0.3, which is 3/10.

So the answer is 1/3.

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Answer:

we will fail to reject the null hypothesis and conclude that the mean pressure is not different from 4.7 psi

Step-by-step explanation:

Let's first define the hypothesis;

Null hypothesis: H0: μ = 4.7

Alternative hypothesis: Ha: μ ≠ 4.7

We have;

Sample size; n = 110

Sample mean; x¯ = 4.6

Variance: σ² = 0.64

Standard deviation; σ = √0.64 = 0.8

Formula for test statistic is;

z = (x¯ - μ)/(σ/√n)

z = (4.6 - 4.7)/(0.8/√110)

z = -0.1/0.0763

z = -1.31

From online p-value from z-score calculator attached, using; z = -1.31, two tailed hypothesis, significance value of 0.1, we have;

P-value = 0.190196

The p-value is greater than the significance value and thus we will fail to reject the null hypothesis and conclude that the mean pressure is not different from 4.7

σ μ