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Pachacha [2.7K]
3 years ago
13

This is what i need help with

lign="absmiddle" class="latex-formula">
Mathematics
1 answer:
vladimir1956 [14]3 years ago
8 0
3/125

Hope this helps!
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Tell wether the given value is a solution of the inequality.
Lena [83]
N is a placeholder for a number. In this case, it is 4

We will replace every copy of 'n' with '4' and then simplify

So n+8 turns into 4+8 which simplifies to 12

Is 12 less than or equal to 13? Yes it is. Specifically it is less than 13. So n = 4 is part of the solution set.

Here is how you'd write it all out using algebra

n+8 \le 13

4+8 \le 13

12 \le 13

The last inequality is true so the first inequality is true when n = 4. This is another way to see that n = 4 is a solution.
3 0
3 years ago
From each of two normal populations with identical means and with standard deviations of 6.40 and 7.20, independent random sampl
LiRa [457]

Answer: 0.31207

Step-by-step explanation: from the question, the distribution follows a normal distribution and population mean of both data set are equal.

I will also assume a 5% level of significance since any level of significance was not given in the question.

Population standard deviation of the first population (σ1) = 6.40

Population variance of the first population (σ1)² = 40.96

Population standard deviation of the second population (σ2) = 7.20

Population variance of the second population (σ2)² = 51.84

Sample size of first population (n1) = 64

Sample size of second population (n2) = 64

Difference between sample mean (x1 - x2) = 0.6.

Since population standard deviation is known, z test is used in getting the z score and a normal distribution table is used in getting the probability attached to the z score.

Z = (x1 - x2) /√{(σ1)²/n1 + (σ2)²/n2}

By substituting parameters, we have

Z = 0.6/√(40.96/64) + (51.84/64)

Z = 0.6/ √0.64 + 0.81

Z = 0.6/√1.45

Z = 0.6/1.2041

Z = 0.49

Since our difference in sample mean is greater than zero, it means that the probability of the z score (z=0.49) must be that of the one greater than 0.49 which is area towards the right of the distribution.

Do note that the probability value under z score to the left + probability value under z score to the right = 1

The table I'm using here is only giving probability of z scores toward the left (z<0.49)

Hence z>0.49 = 1 - z<0.49

From the table, z<0.49 = 0.68793

z>0.49 = 1 - 0.68793

z>0.49 = 0.31207

6 0
3 years ago
15 men can complete the construction of a wall in 12 days in how many days can 18 men complete the same work​
belka [17]

Answer:

10 days

Step-by-step explanation:

15 men -----  12 days

18 men -----    x ?

They are inversely proportional

more men less days

15 / 18  * 12 = 10 days

6 0
2 years ago
HELP??? This is for a test review and im totally confused, is it B??
Sloan [31]

Answer:

i think the correct measures are 5,12,13

Step-by-step explanation:

4 0
2 years ago
Which of the following points is in the solution set of y &lt; x2 - 2x - 8?
777dan777 [17]

The solution set of the given inequality has a domain of (-∞, ∞) and the vertex(h,k) = (1, -9)

<h3>What is the solution set for inequality?</h3>

The solution set for inequality is the set of all solutions for which the inequality is defined. It can also be represented in an interval notation.

Given that:

  • y < x² - 2x - 8

By rewriting the equation in the parabola standard form 4p(y-k) = (x - h)², we have:

\mathbf{4\times \dfrac{1}{4}(y-(-9)) = (x-1)^2}

Therefore, the parabola properties are:

  • The solution set of the domain is (-∞, ∞)
  • Vertex(h,k) = (1, -9)
  • Focal length |p| = 1/4

Learn more about the solution set of inequality here:

brainly.com/question/1496731

#SPJ1

4 0
2 years ago
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