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3 years ago

Pierre is running 26 and 2/10 miles in the marathon. he has ran 3/4 of the way. How far has he run?

1 answer:

3 0

Distance=(3/4) * (26 2/10 miles)

26 2/10 miles=26 1/5 miles=(5*26+1) / 5 miles=131/5 miles.

Therefore:

distance=(3/4) * (26 2/10 miles)=(3/4) * (131 /5 miles)=
=(131 *3) / (4*5) miles=393/20 miles= (19*20+13)20 miles=19 13/20 miles.

he has run 393/20 miles or 19 13/20 miles

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Rashid [163]

To solve the function in terms of x:

$\log _{4^x}2^a=3$

find the power of the subscripts of the log

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cross multiply the expression

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1 year ago

Tim estimates that 60÷5.7 is about 10.Will the actual quotient be greater than 10 explain

Zepler [3.9K]

Well first you can do the problem. So take 60 divided by 5.7. When it is done it will come out to about 10.5263 which is a irrational number. So yes the quotient will be larger than 10.
Hope I helped!

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3 years ago

What are the formulas for exponential growth and decay?

fiasKO [112]

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3 years ago

Read 2 more answers

Hypothesis Testing for Means with Small Samples

Scorpion4ik [409]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: volume of root beer in a Windsor Bottling Company can.

A sample of n=24 cans was taken and their contents measured, resulting:

X[bar]= 11.4 oz

S= 0.62 oz

Assuming that the variable has a normal distribution X~N(μ;σ²), the parameter of interest is the average contents of the root beer cans of the Windsor Bottling Company (μ)

The claim is that the population mean content of the cans is different from 12 oz, symbolically: μ ≠ 12

The statistical hypothesis (Null and alternative) have to be complementary, exhaustive and mutually exclusive. The null hypothesis is the "no change" hypothesis and always carries the "=" sign.

If the claim is μ ≠ 12, its complement is μ = 12, the expression carrying the "=" sign will be the null hypothesis and its complement will be the alternative hypothesis:

H₀: μ = 12

H₁: μ ≠ 12

α: 0.05

To test the population mean of this normal population, you have to apply a one sample t-test, with statistic:

$t= \frac{X[bar]-Mu}{\frac{S}{\sqrt{n} } } ~t_{n-1}$

$t_{H_0}= \frac{11.4-12}{\frac{0.62}{\sqrt{24} } } = -4.74$

This test is two-tailed, using the critical value approach, you have to determine two rejection regions. Meaning, you'll reject the null hypothesis to small values of the statistic or to high values of the statistic.

$t_{n-1;\alpha /2}= t_{23;0.025}= -2.069$

$t_{n-1;1-\alpha /2}= t_{23;0.975}= 2.069$

The decision rule is:

If $t_{H_0}$ ≤ -2.069 or if $t_{H_0}$ ≥ 2.069, then you reject the null hypothesis.

If -2.069 < $t_{H_0}$ < 2.069, then you do not reject the null hypothesis.

The value is less than the left critical value, the decision is to reject the null hypothesis.

Then you can say that with a 5% significance level, there is significant evidence to reject the null hypothesis, then the average amount of root beer of the Windsor Bottling Company is different from 12 oz, this means that the claim about the amount of root beer in the cans is correct.

I hope it helps!

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4 years ago

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adelina 88 [10]

Answer:

Step-by-step explanation:

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3 years ago