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Sergeeva-Olga [200]
2 years ago
10

Given a population mean of 53.7 with a standard deviation of 1.3 and a sample size

Mathematics
1 answer:
a_sh-v [17]2 years ago
3 0

Answer: A. 0.4899 B. 14

Step-by-step explanation:

If X = random variable

then, the standard deviation of the sampling distribution of X = \dfrac{\sigma}{\sqrt{n}}

A.

GIven: \sigma= 1.2, \n= 6

The standard deviation of the sampling distribution of X = \dfrac{1.2}{\sqrt{6}}=0.4899

B. Let n be the sample size,

0.325=\dfrac{1.2}{\sqrt{n}}\\\\\Rightarrow\ \sqrt{n}=\dfrac{1.2}{0.325}\\\\\Rightarrow\ \sqrt{n}=3.69230769231\\\\\Rightarrow\ n= (3.69230769231)^2=13.6331360947\approx 14

Hence, the required sample size = 14

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sergiy2304 [10]

Answer:

Step-by-step explanation:

y = 3.25x + 1.25

1.25 is y-intercept

3.25 is the slope of a graph.

If x = 0, then y = 1.25

(0, 1.25)

If x = 3, then y = 3.25(3) + 1.25 = 11

(3, 11)

4 0
3 years ago
Read 2 more answers
Find four consecutive integers with a sum of 106.
grandymaker [24]
4 consecutive integers...
x, x + 1, x + 2, x + 3

x + x + 1 + x + 2 + x + 3 = 106
4x + 6 = 106
4x = 106 - 6
4x = 100
x = 100/4
x = 25

x + 1 = 25 + 1 = 26
x + 2 = 25 + 2 = 27
x + 3 = 25 + 3 = 28

ur 4 integers are : 25,26,27,28
6 0
2 years ago
Is the product of fifteen negative integers positive or negative?
enot [183]

Answer:

the sign of the product of 15 negative numbers will be negative

Step-by-step explanation:

Heya mate!!

The product of odd numbers is odd and the product of even numbers is even.

so 15 is an odd number then the sign of product is odd

Hope this helps!!!

3 0
2 years ago
juan and debbie each earn 9 per hour at their "jobs." Debbie worked five hours more than juan during the week. if juan and debbi
Vaselesa [24]

Using a system of equations, it is found that Debbie worked 45 hours during the week.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable x: Amount of hours worked by Juan.
  • Variable y: Amount of hours worked by Debbie.

Juan and Debbie each earn 9 per hour at their "jobs", and earned a total of 765 for the week, hence:

9x + 9y = 765

Simplifying the expression by 9:

x + y = 85 -> x = 85 - y.

Debbie worked five hours more than juan during the week, hence:

y = x + 5.

Since x = 85 - y, we replace in the expression:

y = 85 - y + 5.

2y = 90.

y = 45.

Debbie worked 45 hours during the week.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

3 0
2 years ago
Greatest to least<br> 2/7, 1/4, 2/9
Stella [2.4K]

<u>1/3; 2/7; 2/9</u>

Lets find least common multiple

The least common multiple is 63

1/3 --> 21/63

2/7 --> 18/63

2/9 --> 14/63

As you can see I am correct, but I found the LCM by multiplying 1/3 by 21 to get to 63 and the numerator as well

7 0
3 years ago
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