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alex41 [277]
2 years ago
14

Replace each * with a number to make */24 > 1/4> 4/* a true statement

Mathematics
2 answers:
zzz [600]2 years ago
4 0

Answer:

first * can be any number greater than 6

second * can be any number larger than 16

Step-by-step explanation:

take each part alone:

  • */24 > 1/4

multiply by 24 in both sides → * > 6

  • 1/4 > 4/*

multiply by 4 in both sides → 1 > 16/*

take * to first side → * > 16

there is no specific answers you can go with 8 and 18

Rina8888 [55]2 years ago
3 0

Answer:

Solve x/24>1/4 for x.

x>6

Solve 1/4>4/xfor x.

x<0 or x>16

Find the intersection of x>6 and x<0 or x>16 .

x>16

Step-by-step explanation:

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Rainbow [258]

5.7099 is the margin of error.

<h3>What is standard deviation ?</h3>

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean.

Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

According to the question,

The standard sampling error of the sample mean is σₓ ,

The sampling distribution is: N (u,σₓ/n)

Therefore,

By using the standard deviation formula:

σₓ = √∑(xi -μ)/N

Where,

∑= population standard deviation

N= the size of the population

xi= each value from the population

μ =the population mean

So ,

σₓ = \frac{20.6}{\sqrt{50} } = 2.913

Since, a = 1- 95% = 0.05

therefore Z\frac{a}{2} = (1-0.005 x 2) = 1.959964

Here, the margin of error for a 95% confidence interval for this sample is given by:

Z\frac{a}{2} * σₓ = 1.959964 x 2.913    

           = 5.7099

5.7099 is the margin of error for a 95% confidence interval for this sample.

Learn more about standard deviation here:

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7 0
2 years ago
A home owner is building a fence around his backyard and needs to know how much material to buy. he would need to calculate ____
valkas [14]
B.perimeter is the answer the perimeter is the outside of the house where the fence goes
4 0
2 years ago
Read 2 more answers
Ms. Knight's two cooking classes are
galina1969 [7]

Answer:

33

Step-by-step explanation:

4 0
3 years ago
Based on Pythagorean identities, which equation is true? A. Sin^2 theta -1= cos^2 theta B. Sec^2 theta-tan^2 theta= -1 C. -cos^2
Arturiano [62]

Answer:

D

Step-by-step explanation:

our basic Pythagorean identity is cos²(x) + sin²(x) = 1

we can derive the 2 other using the listed above.

1. (cos²(x) + sin²(x))/cos²(x) = 1/cos²(x)

1 + tan²(x) = sec²(x)

2.(cos²(x) + sin²(x))/sin²(x) = 1/sin²(x)

cot²(x) + 1 = csc²(x)

A. sin^2 theta -1= cos^2 theta

this is false

cos²(x) + sin²(x) = 1

isolating cos²(x)

cos²(x) = 1-sin²(x), not equal to sin²(x)-1

B. Sec^2 theta-tan^2 theta= -1

1 + tan²(x) = sec²(x)

sec²(x)-tan(x) = 1, not -1

false

C. -cos^2 theta-1= sin^2

cos²(x) + sin²(x) = 1

sin²(x) = 1-cos²(x), our 1 is positive not negative, so false

D. Cot^2 theta - csc^2 theta=-1

cot²(x) + 1 = csc²(x)

isolating 1

1 = csc²(x) - cot²(x)

multiplying both sides by -1

-1 = cot²(x) - csc²(x)

TRUE

3 0
3 years ago
Triangle ABC has two known angles. Angle A measures 55 degrees. Angle B measures 30 degrees. What is the measure of angle C? Sho
alina1380 [7]

Answer:

According to triangle theorems, we know that the interior angles of a triangle equals 180 degrees. Since we know that angle A and angle B are 55 and 30 degrees, all we need to do is add them up and subtract it from 180 degrees to find out the measure of angle C.

55 + 30 = 85 degrees

180 degrees - 85 degrees = 95 degrees (this is the measure for angle C)

8 0
3 years ago
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