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Hitman42 [59]
3 years ago
13

3 five eights subtracted by 5 four eights.

Mathematics
1 answer:
dmitriy555 [2]3 years ago
5 0

Answer: -1 7/8

<u>Turn 3 5/8 into an Improper Fraction</u>

Multiply 3*8 and get 24. Now add 15 and get 39 (Denominator stays the same). 3 5/8 = 39/8

<u>Turn 5 4/8 into an Improper Fraction</u>

Multiply 5*8 and get 40. Now add 4 and get 44 (Denominator stays the same). 5 4/8 = 44/8

<u>Subtract</u>

39/8 - 44/8 = -15/8

<u>Turn -15/8 into a Mixed Number</u>

-15/8 = -1 7/8

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Answer:

(A)  H_0 : μ = 22 ; H_A : μ ≠ 22

(B) Value of the test statistic = -2.69

Step-by-step explanation:

We are given that a local bottler in Hawaii wishes to ensure that an average of 22 ounces of passion fruit juice is used to fill each bottle. He takes a random sample of 65 bottles. The mean weight of the passion fruit juice in the sample is 21.54 ounces. Assume that the population standard deviation is 1.38 ounce.

We have to test the accuracy of the bottling process.

(A) Let, NULL HYPOTHESIS, H_0 : \mu = 22 ounces  {means that an average of 22 ounces of passion fruit juice is used to fill each bottle}

ALTERNATE HYPOTHESIS, H_A : \mu \neq 22 ounces  {means that an average of 22 ounces of passion fruit juice is used to fill each bottle}

The test statistics that will be used here is One-sample z-test;

             T.S. = \frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \bar X = sample mean weight of the passion fruit juice = 21.54 ounces

            \sigma = population standard deviation = 1.38 ounces

            n = sample of bottles = 65

(B) So, <u>test statistics</u> =  \frac{21.54-22}{\frac{1.38}{\sqrt{65} } }

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Hence, the value of test statistics is -2.69.

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3 years ago
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Step-by-step explanation:

Given

Mean of the numbers is 8

If the ratio is 1:1:2:2:3:3

Suppose the numbers are x, x, 2x, 2x, 3x, 3x

Write the mean of the numbers

\Rightarrow \dfrac{x+x+2x+2x+3x+3x}{6}=8\\\\\Rightarrow \dfrac{12x}{6}=8\\\\\Rightarrow x=4

So, the numbers are 4, 4, 8,8 ,12,12

As the total numbers are even, median is the sum of the middle values

\Rightarrow \text{Median=}\dfrac{8+8}{2}\\\\\Rightarrow \text{Median=}8

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