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jenyasd209 [6]
3 years ago
13

A 95% confidence interval is (70,110). what is the margin for error? A. 19 B.38 C.20 D.40

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
3 0

Answer:

C.20

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The margin of error is the difference between the two bounds, divided by 2.

In this question:

Lower bound: 70

Upper bounf: 110

Margin of error:

M = \frac{110 - 70}{2} = \frac{40}{2} = 20

Thus the correct answer is given by option C.

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The scores of eight grade students in a math test are normally distributed with a mean of 57.5 and a standard deviation of 6.5.
rewona [7]
Work out the z scores  for   51  and 54 
z1 = (51 - 57.5) / 6.5 = -1
z2 = (64  - 57.5)/6.5 = 1
from tables of normal distribution this value os 3413 + 3413  = 68.26%


so the answer is  c
8 0
4 years ago
Evaluate x/y when x=32 and y=4.
lbvjy [14]

Answer:

x = 32

y = 4

x/y = 32/4 = 8

Hope it helps!

4 0
3 years ago
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The roots of the function f(x) = x2 – 2x – 3 are shown. what is the missing number? x = –1 and x =
andrey2020 [161]

we have

f(x)=x^{2}-2x-3

Find the roots

Equate the function to zero

x^{2}-2x-3=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

x^{2}-2x=3

Complete the square. Remember to balance the equation by adding the same constants to each side.

x^{2}-2x+1=3+1

x^{2}-2x+1=4

Rewrite as perfect squares

(x-1)^{2}=4

Square root both sides

(x-1)=(+/-)2

x=1(+/-)2

x=1+2=3

x=1-2=-1

therefore

<u>the answer is</u>

x=3

5 0
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What is the answer for $ 199 MP3 player 15% discount
Irina-Kira [14]
So discount means taken off
we find 15% of 199 and subtract from 199
% means parts out of 100 so 15%=15/100=1.5/10=.15/1=0.15
'of' means multiply
15% of 199=0.15 times 199=29.85
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8 0
3 years ago
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Which exponential equation is equivalent to this logarithmic equation log x5 + log x12 =7
trapecia [35]

Answer:

x⁷ = 60

Step-by-step explanation:

<u>Given</u><u> </u><u>:</u><u>-</u><u> </u>

  • log x⁵ + log x ¹² = 7 .

<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u><u> </u>

  • The expotential equation .

<u>Solution</u><u> </u><u>:</u><u>-</u><u> </u>

Given logarithmic equation is ,

⇒ log x⁵ + log x ¹² = 7

⇒ log x ⁵ * ¹² = 7 [ log aⁿ + log aⁿ' = log aⁿ * ⁿ' ]

⇒log x ⁶⁰ = 7

In expotential form we can write it as ,

⇒ x⁷ = 60

5 0
3 years ago
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