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Tpy6a [65]
3 years ago
11

The mean percentage of a population of people eating out at least once a week is 57%, with a standard deviation of 3.5%. Assume

that a sample size of 40 people was surveyed from the population an infinite number of times. In which interval will 95% of the sample means occur?
Mathematics
1 answer:
Serhud [2]3 years ago
6 0
95% C.I. = mean + or - 1.96(standard deviation / sqrt(sample size))
95% C.I. = 57 + or - 1.96(3.5/sqrt(40) = 57 + or - 1.085 = 57 - 1.085 to 57 + 1.085 = 55.92 to 58.09

Therefore, 95% of the mean will occur in the interval 55.92 to 58.09
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Can someone please help me with this geometry homework?
Leno4ka [110]

The distances between the two points, in units, are given as follows:

7. \sqrt{2}

8. 2\sqrt{17}

9. 3\sqrt{2}

10. 3\sqrt{5}

The midpoints are given as follows:

11. (7,-4.5).

12. (2,4).

13. (7,0.5).

14. (5.5,-1.5).

<h3>What is the distance between two points?</h3>

Suppose that we have two points, (x_1,y_1) and (x_2,y_2). The distance between them is given by:

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

For item 7, the points are (-3,-2) and (-4,-3), hence the distance is:

D = \sqrt{(-4 + 3)^2 + (-3 + 2)^2} = \sqrt{2}

For item 8, the points are (-3,1) and (5,3), hence the distance is:

D = \sqrt{(5 + 3)^2 + (3 - 1)^2} = \sqrt{68} = 2\sqrt{17}

For item 9, the points are (-3,0) and (0,-3), hence the distance is:

D = \sqrt{(0 + 3)^2 + (-3 - 0)^2} = \sqrt{18} = 3\sqrt{2}

For item 10, the points are (1,-2) and (4,4), hence the distance is:

D = \sqrt{(4 - 1)^2 + (4 + 2)^2} = \sqrt{45} = 3\sqrt{5}

<h3>What is the midpoint concept?</h3>

The midpoint between two points is the halfway point between them, and is found using the mean of the coordinates.

Hence, for item 11, the midpoint is given by:

[0.5(9 + 5), 0.5(1-10)] = (7,-4.5).

For item 12, the midpoint is given by:

[0.5(-5 + 9), 0.5(7 + 1)] = (2,4).

For item 13, the midpoint is given by:

[0.5(9 + 5), 0.5(9 - 8)] = (7,0.5).

For item 14, the midpoint is given by:

[0.5(10 + 1), 0.5(4 - 7)] = (5.5,-1.5).

More can be learned about the distance between two points at brainly.com/question/18345417

#SPJ1

8 0
2 years ago
Drag and drop the constant of proportionality into the box to match the table. If the table is not proportional, drag and drop "
olga_2 [115]

Answer: not proportional


Step-by-step explanation:

The constant is called the coefficient of proportionality if one variable is always the product of the other variable and a constant. And the variables are said to be directly proportional.

In the given table , let the variables are proportional then the constant of proportion(k)=\frac{y}{x}

\Rightarrow\ k=\frac{3}{2}=1.5

\Rightarrow\ k=\frac{7}{4}=1.45

⇒ k is not a constant of proportionality.

⇒ the variables x and y are not proportional.


6 0
3 years ago
Read 2 more answers
8. The table shows four transactions (in dollars) for a bank account. The balance
kompoz [17]

Our starting value: $89.50.

Deposits means putting money in the account, so money will increase.

Withdrawal means that you are depleting the account, so money will decrease.

1. 11/4 - Deposited $17.25

So you will add $89.50 + $17.25 = $106.75

2. 11/4 = Withdrawal $35.90

So you will subtract $106.75 - $35.90 = $70.85

3.  11/7 - Deposit $10.77

So you will add $10.77 + $70.85 = $81.62

4. 11/11 - Withdrawal of $3.02

So you will now subtract $81.62- $3.02 = <em>$78.60</em>

<em></em>

<em>$78.60 is our final balance! I hope this helps!</em>

3 0
2 years ago
Geoffrey thinks that the sum of 5x2y3+6x+7y and 8y+4x3y2+2xis 9x2y3+8x+15y. Explain Geoffrey's error, and find the correct sum.
Schach [20]
He subtracted instead of added

6 0
3 years ago
MATH HELP ME ASAP!!!!
ziro4ka [17]

Answer:

You get 12$ per B and 15$ per A.  Thus, the answer is A) $282

Step-by-step explanation:

4A+4B=108

Divide by 4

A+B=27

Subtract B

A = 27 - B

3A+5B=105

Substitution

3(27-B)+5B = 105

Distribute

81-3B+5B=105

Combine like terms

81+2B=105

Subtract 81

2B=24

Divide by 2

B = 12

A = 15

14(15)+6(12)=x

210+72=x

282=x

<em>Hope it helps <3</em>

6 0
3 years ago
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