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V125BC [204]
3 years ago
11

Please help i have exam tom. ​

Mathematics
1 answer:
Xelga [282]3 years ago
3 0

Answer:

Step-by-step explanation:

this is a simultaneous equation question

f(1)=8  so  a(1) + b = 8

f(4)=17 so a(4) + b = 17

can you figure this out from here ???

if you can't below is how to solve it

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a + b = 8

4a+b=17

multiply the top equation by 4 and then subtract the bottom one from the top

4a+4b = 32

-(4a +b = 17)

3b = 15

b=5

now plug 5 into the first equation

a + 5 = 8

a=3

there you go :)

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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
(4.3*10^4)^2 in scientific notation
xeze [42]
1.849x10^9 or 1.849e9
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3 years ago
Roger's flight took off at 9:27 a.m. The flight is scheduled to land at 1:05 p.m. If the flight lands on schedule, how long is t
arsen [322]
So Roger flight left at exactly 9.27:am and it will land at 1:05pm

So count on to 12:27 will be 3 hours and subtract from 5 because 65 is 05 3hours and 38mins
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3 years ago
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Twice the sum of a number and 3 is equal to three times the difference of the number and 6. Find the number.
vfiekz [6]

Answer: 5

Step-by-step explanation:

7 0
2 years ago
Dance lessons cost $198.75 for 15 classes
zysi [14]

Answer:

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Step-by-step explanation:

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6 0
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