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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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Three lines of crops in a garden form a triangular shape. Strawberries are planted in a 10 ft line and green beans are planted i
Marat540 [252]

Answer:

p = 19.18

Step-by-step explanation:

This question is illustrated using the attachment and will be solved using cosine formula

a^2 = b^2 + c^2 - 2bcCosA

<em>Let the strawberry side be s, the Green beans be b and the pumpkins be p.</em>

<em />

The cosine formula in this case is:

g^2 = s^2 + p^2 - 2spCosG

Where

s = 10

g = 18

The equation becomes

18^2 = 10^2 + p^2 - 2 * 10 * p * Cos\ 68

324 = 100 + p^2 - 20 * p * 0.375

324 = 100 + p^2 - 7.5p

Collect Like Terms

p^2 - 7.5p + 100 - 324 = 0

p^2 - 7.5p - 224 = 0

Using quadratic formula:

p = \frac{-b\±\sqrt{b^2-4ac}}{2a}

Where

a = 1

b = -7.5

c = -224

p = \frac{-(-7.5)\±\sqrt{(-7.5)^2-4*1*-224}}{2*1}

p = \frac{7.5\±\sqrt{56.25+896}}{2}

p = \frac{7.5\±\sqrt{952.25}}{2}

p = \frac{7.5\± 30.86}{2}

p = \frac{7.5 + 30.86}{2} or p = \frac{7.5 - 30.86}{2}

p = \frac{38.36}{2} or p = \frac{-23.36}{2}

p = 19.18 or p = -11.68

But length can not be negative.

So:

p = 19.18

6 0
2 years ago
A student saves $3 dollars on August 1, $5 on August 2, $7 on August 3, and so on. How much will she save in August 20 ?
Delvig [45]
Here is your answer

Money saved on each successive day is-

$3, &5, $7....

Clearly it forms an AP,

where

a1= 3

common difference, d= 2

n=20

So,

using formula

Tn= a1+(n-1)d

T20= 3+(20-1)2

= 3+ 19×2

= 3+ 38

=41

So, money saved on August 20= $41

Sum of money saved upto August 20 =
n/2 (a1+T20)
= 20/2 (3+41)
= 10× 44
= $440

HOPE IT IS USEFUL
5 0
3 years ago
Read 2 more answers
Help!!!! please!!!! ill give brainliest!!!!
Anna [14]

Answer: The 2nd option is correct.

Step-by-step explanation:

Since you have started off with 4 players, the number line needs to start at 5, because 9 - 4 = 5. This gives us the answer of the second option, because it starts at 5 and goes to the positive side.

3 0
3 years ago
2. Chaleah deposited 700$ in a new account that earns 5% simple interest. After 4 years,
Oxana [17]

Answer:

Interest earned: $150.85

Total amount: $850.86

Step-by-step explanation:

Y=700(1.05)^4

Put the right side of the equation into a calculator and get

850.85 that's your total, so to get the amount earned subtract the original 700 from it and get 150.85

5 0
2 years ago
Our club shirts are available in two sizes: small shirts coat $27 each and large shirts cost $31 each. Last week a total of 14 s
DanielleElmas [232]

small = 9

large = 5

hope this helps

7 0
3 years ago
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