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MariettaO [177]
3 years ago
8

Suppose that in a random sample of size 200, standard deviation of the sampling distribution of the sample mean 0.08. researcher

wanted to reduce the standard deviation to 0.04. what sample size would be required?
Mathematics
1 answer:
sertanlavr [38]3 years ago
7 0

Answer:

400

Step-by-step explanation:

The computation of the sample size needed is shown below:

Since at the sample size of 200 there is a standard deviation of 0.08

But when the standard deviation is 0.04 so the sample size is 400

As sample standard deviation would be inversely proportional to the square root of the sample size

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patriot [66]
17.5

5 is the og length. Scale factor is 3.5. So

5(3.5)=17.5
3 0
3 years ago
1. What is the price per pencil if 145 pencils cost $12.00? (unit rate) *
nevsk [136]

Answer:

$12.08

Step-by-step explanation:

divide 145 by 12 and BOOM, you get 12.08

3 0
3 years ago
The product of two consecutive odd integers is 72. Write a quadratic equation to find the integers,
zimovet [89]

<u>Answer:</u>

x^2 + x - 72 = 0

<u>Explanation:</u>

We are given product of two consecutive odd integers is equal to 72.

Let one integer be x , then since these are consecutive and odd so the other integer will be equal to x + 1.  

Their product is equal to 72. So,

x * (x + 1) = 72

=> x^2 + x = 72

=>  x^2 + x - 72 = 0 is the required quadratic equation.

5 0
3 years ago
In Exercises 10 and 11, points B and D are points of tangency. Find the value(s) of x.<br>​
Lemur [1.5K]

In both cases,

AB^2=AD^2

(as a consequence of the interesecting secant-tangent theorem)

So we have

10.

(4x+7)^2=(6x-3)^2

16x^2+56x+49=36x^2-36x+9

20x^2-92x-40=0

5x^2-23x-10=0

(5x+2)(x-5)=0\implies\boxed{x=5}

(omit the negative solution because that would make at least one of AB or AD have negative length)

11.

(4x^2-18x-10)^2=(x^2+x+4)^2

16x^4-144x^3+244x^2+360x+100=x^4+2x^3+9x^2+8x+16

15x^4-146x^3+235x^2+352x+84=0

(x-7)(3x+2)(5x^2-17x-6)=0\implies\boxed{x=-\dfrac23\text{ or }x=7}

(again, omit the solutions that would give a negative length for either AB or AD)

7 0
3 years ago
25 points and brainliest if it's correct!
aleksandr82 [10.1K]

Answer:

Just substitute each number into the expression:

5(5) - 6(3) + 20(1/4)/4(3)(1/4) = 25 - 18 + 5/3 = 7 + 5/3 = 26/3 or 8 and 2/3.

Step-by-step explanation:

3 0
3 years ago
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