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andriy [413]
2 years ago
9

Five times a number is divided by 7 more than the number. If the result is 2, then what was the original number?

Mathematics
2 answers:
oksian1 [2.3K]2 years ago
5 0

Answer:

14/3

Step-by-step explanation:

(5n)/(7+n) = 2

Multiply both sides by 7 + n:

(7 + n) x (5n)/(7 + n) = (7 + n) x 2

5n = 14 + 2n

3n = 14

Divide both sides by 3:

(3n)/3 = 14/3

n = 14/3

RoseWind [281]2 years ago
4 0

Answer:

-1

Step-by-step explanation:

the equation would be 5x+7=2.

so first you'll subtract from both sides so you'll do 2 from 7, whcih equals -5. then you'll divide 5 from each side. 5x÷5=x. -5÷5=-1. so the answer would be -1

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The Statistical Abstract of the United States published by the U.S. Census Bureau reports that the average annual consumption of
Karo-lina-s [1.5K]

Answer:

a) P(\bar X

b)P(98

c) P(\bar X

d) P(93

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".  

Part a

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(99.9,30)  

Where \mu=99.9 and \sigma=30

We select a random sample of n=36. And from the central limit theorem we know that the distribution for the sample is given by:

\bar X \sim N(\mu =99.9 , \frac{\sigma}{\sqrt{n}}= \frac{30}{\sqrt{38}}=4.87)

And 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(Z

Part b

For this case we want this probability:

P(98

=P(\frac{98-99.9}{\frac{30}{\sqrt{38}}}

And we can find this probability on this way:

P(-0.39

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(-0.39

Part c

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

P(\bar X

P(\bar X

Part d

For this case we want this probability:

P(93

=P(\frac{93-99.9}{\frac{30}{\sqrt{38}}}

And we can find this probability on this way:

P(-1.42

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(-1.42

3 0
3 years ago
Plz Answer this question fast, Thank You
AysviL [449]

Answer:

162

Step-by-step explanation:

20736 x 729 x 4/216 x 64 x27

Now go ahead and do the cancellations

20736/216 =96

729/27 =27

64/4 =16

so you end up getting 96 x 27 x1 /26

96/16 =6

so you get 27 x 6 =162

4 0
3 years ago
Read 2 more answers
Use the arc length formula to find the length of the curve y = 4x − 5, −1 ≤ x ≤ 3. Check your answer by noting that the curve is
Reptile [31]

Answer:

4\sqrt{17}

Step-by-step explanation:

Let's find the answer by using the arc length formula which is:

\int\limits^a_b {\sqrt{1+(\frac{dy}{dx})^{2} } } \, dx

First, let's find dy/dx which is:

y=4x-5

y'=4*(1)-0

y'=4, now let's use the formula:

\int\limits^3_{-1} {\sqrt{1+4^{2}} } \, dx=\sqrt{17} *(3-(-1))=4\sqrt{17}

Now, using the distance formula we have:

d=\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }

y(-1)=4*(-1)-5=-9 \\y(3)=4*(3)-5=7

So we have two points (-1, -9) and (3, 7) so:

d=\sqrt{(3-(-1))^{2} +(7-(-9))^{2} }=4\sqrt{17}

Notice both equations gave the same length 4\sqrt{17}.

5 0
3 years ago
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dexar [7]

Answer:

BC=15\ units

Step-by-step explanation:

we know that

In a parallelogram opposite sides are congruent

In this problem

we have that

AB and DC are opposite sides

AD and BC are opposite sides

so

AB=DC

AD=BC

step 1

Find the value of x

AB=DC

substitute the given values

x+15=4x

solve for x

4x-x=15

3x=15

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step 2

Find the length of AD

we have that

AD=x+10

substitute the value of x

AD=5+10=15\ units

step 3

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Remember that

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therefore

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6 0
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