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2 years ago

PLEASE HELP WITH THESE 2

Mathematics

1 answer:

Salsk061 [2.6K]2 years ago

5 0

Answer:

1. ?=100 2.?=70

Step-by-step explanation:

1. for the inner arch, you just have to multiply by 2 so 50x2

2. to find the inner arch from the outer arch, you have to divide by two so 140/2

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H 0 : μ ≥ 25 H 1 : μ < 25 Your sample consists of 28 subjects, with a mean of 23.2 and standard deviation of 8.6. Calculate t

kykrilka [37]

Answer:

The test statistic would be given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

And replacing we got:

$t=\frac{23.2-25}{\frac{8.6}{\sqrt{28}}}=-1.11$

Step-by-step explanation:

Information given

$\bar X=23.6$ represent the sample mean

$s=8.6$ represent the sample standard deviation

$n=28$ sample size

$\mu_o =25$ represent the value that we want to test

t would represent the statistic

System of hypothesis

We want to test if the true mean is lower than 25, the system of hypothesis would be:

Null hypothesis: $\mu \geq 25$

Alternative hypothesis: $\mu < 25$

The test statistic would be given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

And replacing we got:

$t=\frac{23.2-25}{\frac{8.6}{\sqrt{28}}}=-1.11$

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3 years ago

How many gallons of pure water should be added to 10 gallons of a solution containing 15 % juice so that the remaining solution

tiny-mole [99]

<u>Answer:</u>

a. 1.5 gallon of juice in the solution

b. 10 gallon

c. None

d. 10 gallon

<u>Solution: </u>

Let us assume that the w gallons of pure water to be added

so the total solution will be $(10+w)$ gallon

The 10 gallon of solution contain $15\%$ of juice $= (10\times\frac{15}{100} )gallon = 1.5 gallon$

Now, $\frac{1.5}{10+w} = 0.05$

$1.5 = 0.05(10+w)$

$150 = 5(10+w)$

$150 = 50 + 5w$

$5w = 150 - 50$

$5w = 100$

$w = 20$

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