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Lisa [10]
3 years ago
11

1. Different students drew random samples of size 50 from the mystery bag. The number of red chips each drew is given below. In

each case, find the margin of error for the proportions
of the red chips in the mystery bag.
a. 10 red chips
b. 28 red chips
c. 40 red chips
Mathematics
1 answer:
denis-greek [22]3 years ago
4 0

Answer:

Part A:

Margin of error=M≅0.1131

Part B:

Margin of error=M≅0.1404

Part C:

Margin of error=M≅0.1131

Step-by-step explanation:

The formula for finding the margin of error for the proportion  is:

Margin of error=M=2*\sqrt{\frac{p(1-p)}{n} }

where:

p is the sample proportion =\frac{Number of Chips}{Samlpe Size}

n is the sample size

Part A:

Margin of error=M=2*\sqrt{\frac{p(1-p)}{n} }

p=\frac{10}{50}

p=0.2

Margin of error=M=2*\sqrt{\frac{0.2*(1-0.2)}{50}}

Margin of error=M≅0.1131

Part B:

p=\frac{28}{50}

p=0.56

Margin of error=M=2*\sqrt{\frac{0.56*(1-0.56)}{50}}

Margin of error=M≅0.1404

Part C:

p=\frac{40}{50}

p=0.8

Margin of error=M=2*\sqrt{\frac{0.8*(1-0.8)}{50}}

Margin of error=M≅0.1131

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Charra [1.4K]

9514 1404 393

Answer:

  -2

Step-by-step explanation:

  -8^(1/3) = -(2^3)^(1/3) = -(2^(3/3)) = -2

6 0
3 years ago
If
UkoKoshka [18]

Answer:

-8n + 9

Step-by-step explanation:

Given that,

A = -3n + 2

B = 5n - 7

Before solving you have to know that,

( + ) × ( + ) = ( + )

( - ) × ( - ) = ( + )

( + ) × ( - ) = ( - )

Let us solve now.

A - B

-3n + 2 -(5n - 7)

-3n + 2 - 5n + 7

Combine like terms

-3n - 5n + 2 + 7

-8n + 9

Hope this helps you.

Let me know if you have any other questions :-)

5 0
2 years ago
A rectangle of sides 5 cm and 2 cm is cut out from a bigger rectangle of sides 14 cm and 7 cm to form a new shape as shown below
masha68 [24]

Answer: a. 46 cm

Step-by-step explanation:

(7 + 14) × 2 + 2× 2 = 46 (cm)

3 0
3 years ago
Read 2 more answers
A survey found that 8 out of 10 parents approved of the new principal’s performance. If 4 parents name are chosen with replaceme
Natasha2012 [34]

Answer:

The probability is 0.044

Step-by-step explanation:

Step-by-step explanation:

Let p be the probability that the new principal’s performance is approved.

This is obtainable from the survey and it is 8/10 = 0.8

Let q be the probability that the new principal’s performance is disproved.

That will be;

1 - q = 1- 0.8 = 0.2

To calculate the probability that 14 parents names are chosen at random and they all

approve of the principal’s performance, we use the Bernoulli approximation of the binomial theorem.

That will be;

14C14 * p^14 * q^0

= 1 * 0.8^14 * 0.2^0

= 0.043980465111 which is approximately 0.044

8 0
3 years ago
The length of the rectangle is 7/(x-4) feet, while its width is 5/x feet. Find its perimeter. Please help asap!!!!! :(
damaskus [11]

The perimeter would be (24x - 40)/(x^2 - 4x).

In order to find this, first double the length and width as you would to find any perimeter.

7/(x - 4) * 2 = 14/(x - 4)

5/x * 2 = 10/x

Now to add those together, we need to give them common denominators. In order to do that with the first one, we need to multiply by x/x

14/(x - 14) * x/x = 14x/(x^2 - 14x)

Then we can do the same with the second part by multiplying by (x - 4)/(x - 4)

10/x * (x - 4)/(x - 4) = (10x - 40)/(x^2 - 14x)

Now we can add the two together

14x/(x^2 - 14x) + (10x - 40)/(x^2 - 14x) = (24x - 40)/(x^2 - 14x)

3 0
3 years ago
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