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Dima020 [189]
2 years ago
6

Find the value of y for the given value of x. y=x2+9;x=−12

Mathematics
1 answer:
DiKsa [7]2 years ago
7 0

Answer:

0

Step-by-step explanation:

0 is what i got

You might be interested in
2. Carol wants to find how many people in her town own a dog as a pet. She decides to survey
kaheart [24]
This is not a random sample since she is outside of a pet store and the probability of people owning a dog coming out of that store is very very high. If she went around the neighborhood and knocked on people’s door and asked if they had a dog or not would be random sample.
6 0
3 years ago
Conduct the appropriate hypothesis test and compute the test statistic. A company that produces fishing line undergoes random te
andre [41]

Answer:

Option D) Yes, because the test statistic is -2.01

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 30 pound

Sample mean, \bar{x} = 29.1 pounds

Sample size, n = 20

Alpha, α = 0.05

Sample standard deviation, s =  2 pounds

First, we design the null and the alternate hypothesis

H_{0}: \mu = 30\text{ pounds}\\H_A: \mu < 30\text{ pounds}

We use one-tailed(left) t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{29.1 - 30}{\frac{2}{\sqrt{20}} } = -2.012

Now,

t_{critical} \text{ at 0.05 level of significance, 19 degree of freedom } = -1.729

Since,                    

t_{stat} < t_{critical}

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. Thus, there were enough evidence to conclude that the fishing line breaks with an average force of less than 30 pounds.

Option D) Yes, because the test statistic is -2.01

5 0
3 years ago
What is the solution to the equation below? Round your answer to two decimal places? (apex) 5+8*In x=15.8
Sliva [168]

Option A : $x=3.86$ is the solution of the equation.

Explanation:

The equation is $5+8 \ln x=15.8$

To determine the value of x, let us simplify the equation.

Subtracting 5 from both sides of the equation, we have,

$5+\ 8  \ ln \ x-5=15.8-5$

Simplifying, we get,

8 \ ln \ x= 10.8

Now , dividing both sides of the equation by 8, we get,

$\ ln \ x=1.35$

Using the logarithmic definition that if $\log _{a}(b)=c$ then $b=a^{c}$

Thus, rewriting the above expression $\ ln \ x=1.35$ using the logarithmic definition, we have,

$\ln \ x =1.35$ ⇒ $x=e^{1.35}$

Substituting the value of e^{1.35}$=3.85742... , we get,

$x=3.85742 \ldots$

Rounding off the answer to two decimal places, we get,

$x=3.86$

Hence, the solution of the equation is $x=3.86$

Therefore, Option A is the correct answer.

8 0
2 years ago
I don't want the answer, but I want to know how you got that answer.
anastassius [24]

Answer:

n = 5

Step-by-step explanation:

4n+5n+15=5n+7n\\\\9n+15=12n\\\\9n+15-15=12n-15\\\\-3n=-15\\\\\frac{-3n=-15}{-3}\\\\ \boxed{n=5}

Hope this helps.

8 0
3 years ago
Alexia took out a 12-year loan for $72000 to renovate her home. If her monthly payments are $680, what is the interest rate?
mart [117]

Answer:

intrest equation

I/PT = R

$680 / $72,000 x 12 years = R

$680 / $864,000 = R

7.8703 = R

or rounded 8%

Step-by-step explanation:

3 0
3 years ago
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