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german
3 years ago
6

What is an equation of the line perpendicular to 5x−4y=10 5x−4y=10 that passes through the point (−1,−6) (−1,−6) ?

Mathematics
1 answer:
exis [7]3 years ago
7 0

Substitute the value of the variable into the equation and simplify.

There for your answer is 10

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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
A line drawn from one side of a circular plate to the other, through the center of the plate, measures 25 centimeters.
jarptica [38.1K]

Answer:

39 centimeters

Step-by-step explanation:

to find the area of a circle you first find the radius which is the disctance from the edge of the plate to the center. you then multiply it by pi to find the total area.

3 0
2 years ago
Read 2 more answers
Write 45/30 in simplest form​
RideAnS [48]

Answer:

1 1/2

Step-by-step explanation:

SO first convert into mixed

1 15/30

Now simplify

1 1/2

IF YOU DONT WANT MIX AND LEAVE AS IMPROPER

3/2

7 0
3 years ago
If y= (2x^2+x)^3 +(x-1) /(1-x). find dy dx​
Mrrafil [7]

Answer:

Step-by-step explanation:

y=(2x²+x)³+(x-1)/(1-x)

=(2x²+x)³+(x-1)/-(x-1)

=(2x²+x)³-1

dy/dx=3(2x²+x)(4x+1)-0

=3x(2x+1)(4x+1)

7 0
3 years ago
How do i find the slant asymptope of x^3/(2(x+2)(x-4) aka x^3/(2x^2-8)
hram777 [196]
I’m really sorry I just don’t know I guess I’m. It smart enough try to look it up and wait for someone else to answer sorry again :(
6 0
2 years ago
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