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2 years ago

Solve the equation 4(p+5) = 21.

Mathematics

1 answer:

Maslowich2 years ago

5 0

Answer:

p=1/4

Step-by-step explanation:

4(p+5)=21

4p+20=21

4p=1

p=1/4

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Use long division to divide x^3+x^2-2x+14 by x+3

bekas [8.4K]

First, $x^3=x^2\cdot x$ , and if we multiply $x+3$ by $x^2$ we get

$x^3+3x^2$

Subtracting this from the numerator gives a remainder of

$-2x^2-2x+14$

Next, $-2x^2=-2x\cdot x$ , and if we multiply $x+3$ by $-2x$ we have

$-2x^2-6x$

and subtracting this from the previous remainder, we end up with a new remainder of

$4x+14$

Next, $4x=4\cdot x$ , and if we multiply $x+3$ by $4$ we get

$4x+12$

Subtracting from the previous remainder, we get a new remainder of

$2$

which contains no more factors of $x$ , so we're done.

So,

$\dfrac{x^3+x^2-2x+14}{x+3}=x^2-2x+4+\dfrac2{x+3}$

8 0

3 years ago

According to a study conducted by the Gallup Organization, the the proportion of Americans who are afraid to fly is 0.10. A rand

notsponge [240]

Answer: 0.1457

Step-by-step explanation:

Let p be the population proportion.

Given: The proportion of Americans who are afraid to fly is 0.10.

i.e. p= 0.10

Sample size : n= 1100

Sample proportion of Americans who are afraid to fly = $\hat{p}=\dfrac{121}{1100}=0.11$

We assume that the population is normally distributed

Now, the probability that the sample proportion is more than 0.11:

$P(\hat{p}>0.11)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}>\dfrac{0.11-0.10}{\sqrt{\dfrac{0.10(0.90)}{1100}}})\\\\=P(z>\dfrac{0.01}{0.0090453})\ \ \ [\because z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}} ]\\\\=P(z>1.1055)\\\\=1-P(z\leq1.055)\\\\=1-0.8543=0.1457\ \ \ [\text{using z-table}]$

Hence, the probability that the sample proportion is more than 0.11 = 0.1457

3 0

3 years ago

My car gets 34 miles per gallon at 60 miles per hour. Is the number of miles I can drive at 60 miles per hour a linear function

Assoli18 [71]

Answer: Yes,

Step-by-step explanation: If you have less than 60 miles in your gas tank it will not last 1 hour.

7 0

2 years ago

The volume of this cylinder is 20,403.72 cubic yards. What is the radius? Use ≈ 3.14 and round your answer to the nearest hund

MakcuM [25]

The formula for the volume of a cylinder is V=3.14r^2(h).
So substituting the volume: 20,403.72=3.14r^2(h).

To solve for ‘r’, divide both sides by 3.14h
r^2=6,498/h
Then find square root of both sides
r= sqrt(6,498/h)
Since ‘h’ is not specified here, it cannot be solved further.

4 0

1 year ago

Pls say the answer :( pls say it

Aleksandr [31]

Refer to the pic ...(◕ᴗ◕✿)✌️✌️

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3 years ago