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hammer [34]
3 years ago
14

What to numbers multiply to -100 but add up to -21?

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
4 0
-25 and 4

-25(4)=-100
-25+4=-21
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pashok25 [27]
The answer is 2 18/19
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3 years ago
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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!

6 0
3 years ago
Translate to inequality twice a number is at most 40
kow [346]
In mathematical form, it would be: 2x ≥ 40
x ≥ 20

Hope this helps!
5 0
3 years ago
Eva payrolls for on a number cube and the number of cubes roll 24 times then what is a reasonable prediction for the number of s
Allushta [10]

Answer:

The reasonable prediction for successful rolls is 4.

Step-by-step explanation:

Assuming the rolling cube  is a fair 6 sided cube, so the probability of success of one roll is given as

P(Success)=\dfrac{Number\ of\ successful\ events}{Number\ of\ total\ events}

P(Success)=\dfrac{1}{6}

The total success is given as

P(Total\ Success)=P(Success)\times Number\ of\ events

For 24 rolls it is given as

P(Total\ Success)=P(Success)\times Number\ of\ events\\P(Total\ Success)=\dfrac{1}{6}\times 24\\P(Total\ Success)=4

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3 0
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How many cubes unit fit the container​
Marina86 [1]

Answer:

it depends on the size of the cubes

Step-by-step explanation:

and the volume of the containers

3 0
3 years ago
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