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Lesechka [4]
2 years ago
7

Stephen says that the numbers 38 and 40 are relatively prime. Explain why he is incorrect in making this statement.

Mathematics
2 answers:
Jet001 [13]2 years ago
6 0

Answer:

Relatively prime numbers have a GCF of 1. The numbers 38 and 40 have a GCF of 2, so they are not relatively prime.

Step-by-step explanation:

When you say that two numbers are relatively prime, it means that both numbers do not have a common factor except 1. Stephen is incorrect because 38 and 40 are both multiples of 2.

inna [77]2 years ago
6 0

Step-by-step explanation:

Relatively prime numbers have a GCF of 1. The numbers 38 and 40 have a GCF of 2, so they are not relatively prime.

please mark brainliest answer

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Find the values of a and b that make the second expression equivalent to the first expression. Assume that x > 0 and y ≥ 0. S
mixas84 [53]

Answer:What was done from the first to the second equation was that the fraction was simplified. 126 and 32 have a common factors of 2. 

126/32=(63*2)/(16*2)

The 2s in the top and bottom can cancel out, leaving the fraction 63/16. 

In addition, since there are x terms on the top and bottom, they cancelled out as well. 

x/x^3=1/x^2

This leaves an x^2 term on the bottom. 

Thus, if a is 16, and b is 2, you will have an equivalent form of the fraction.

Step-by-step explanation:

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2 years ago
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The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = y minus 1 equals StartFract
Zina [86]

Answer:

The equation of the line in standard form is

x-4y=8

Step-by-step explanation:

The equation of the line in point slope form is

y-y1=m(x-x1)

we have

y-1=(1/4)(x-12)

so

m=1/4

(12, 1)

step 2

Find the equation of the line in standard form

The equation of the line in standard form is

Ax+By=C

where

A is positive integer

B and C are integers

we have

y-1=(1/4)(x-12)

Multiply by 4 both sides to remove the fraction

4y-4=(x-12)

x-4y=12-4\\x-4y=8

8 0
2 years ago
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The graph shows a distribution of data.
ss7ja [257]

Answer:

.0625 or A

Step-by-step explanation:

You have to work out the mean. (The simple average of those numbers) Then for each number subtract the Mean and square the result. Then work out the average of those squared differences.

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2 years ago
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The average weight of a chicken egg is 2.25 ounces with a standard deviation of 0.2 ounces. You take a random sample of a dozen
n200080 [17]

Answer:

P(\bar X

P(\bar X

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Let X the random variable that represent interest on this case, and for this case we know the distribution for X is given by:

X \sim N(\mu,\sigma)  

And let \bar X represent the sample mean, the distribution for the sample mean is given by:

\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})

On this case  \bar X \sim N(2.25,\frac{0.2}{\sqrt{12}})

Solution to the problem

We want this probability:

P(\bar X

The best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

If we apply this formula to our probability we got this:

P(\bar X

P(\bar X

5 0
2 years ago
LeAnn is purchasing giftwrap for a box that measures 8 inches long, 6 inches wide, and 6 inches tall. Calculate the total area o
Pavel [41]

Let

L---------> the length side of the box

W--------> the width side of the box

H-------> the height of the box

we know that

L=8\ in\\W=6\ in\\H=6\ in

the surface area of the box is equal to

S=2*area\ of\ the\ base+perimeter\ of\ the\ base*H

<u>Find the area of the base</u>

A=L*W=8*6=48\ in^{2}

<u>Find the perimeter of the base</u>

P=2*L+2*W=2*8+2*6=28\ in

<u>Find the surface area</u>

S=2*48+28*6

S=264\ in^{2}

therefore

<u>the answer is</u>

the total area of the box that will be covered in gift wrap is 264\ in^{2}

8 0
2 years ago
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