What is the product of 3a + 5 and 2a2 + 4a

madam [21]

If you mean trying to figure out what “y” is without the 4. first you have to get the 4y by itself. To do that, subtract 8x from the left side and subtract it from the right side.
-4y=20-8x
Then subtract everything by -4
y=-5+2x
I believe that is the answer (bolded part)

5 0

4 years ago

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Nitrates are groundwater contaminants derived from fertilizer, septic tank seepage and other sewage. Nitrate poisoning is partic

o-na [289]

Answer:

a) $n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.96})^2}=2401$

And rounded up we have that n=2401

b) $n=\frac{0.07(1-0.07)}{(\frac{0.02}{1.96})^2}=625.22$

And rounded up we have that n=626

And we see that if we have previous info about p the sample size varies a lot.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

Part a

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.02$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

Since we don't have prior information about the population proportion we can use ase estimator $\hat p =0.5$ . And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.96})^2}=2401$

And rounded up we have that n=2401

Part b

For thi case the estimator for p is $\hat p =0.07$

$n=\frac{0.07(1-0.07)}{(\frac{0.02}{1.96})^2}=625.22$

And rounded up we have that n=626

And we see that if we have previous info about p the sample size varies a lot.

4 0

3 years ago

Drag and drop the terms that match each expression

IceJOKER [234]

Answer: Where is the question?

Step-by-step explanation:

3 0

3 years ago

WILL GIVE BRAINSLIEST EASY. Find each product mentally. Show the steps used.

svetoff [14.1K]

Answer:

1) 396

2) 20 1/2

3) 26.6

4) 8x + 56

5) 66 + 6x

6) 8x + 8

Step-by-step explanation:

* Lets explain how to solve the product mentally

# Remember the distributive property can help you to find the product

mentally the distributive property ⇒ a(b + c) = ab + ac

- Lets solve them

1)

- In 9 × 44 we can write 44 as (40 + 4)

∴ 9 × 44 = 9(40 + 4)

∵ 9(40 + 4) = 9 × 40 + 9 × 4

- Now lets multiply 9 by 40 and 9 by 4

∵ 9(40) = 360

∵ 9(4) = 36

∴ 9 × 40 + 9 × 4 = 360 + 36 = 396

∴ 9 × 44 = 396

2)

- In 4 × 5 1/8 we can write 5 1/8 as (5 + 1/8)

∴ 4 × 5 1/8 = 4(5 + 1/8)

∵ 4(5 + 1/8) = 4 × 5 + 4 × 1/8

- Now lets multiply 4 by 5 and 4 by 1/8

∵ 4(5) = 20

∵ 4(1/8) = 1/2

∴ 4 × 5 + 4 × 1/8 = 20 + 1/2 = 20 1/2

∴ 4 × 5 1/8 = 20 1/2

3)

- In 7 × 3.8 we can write 3.8 as (3 + 0.8)

∴ 7 × 3.8 = 7(3 + 0.8)

∵ 7(3 + 0.8) = 7 × 3 + 7 × 0.8

- Now lets multiply 7 by 3 and 7 by 0.8

∵ 7(3) = 21

∵ 7(0.8) = 5.6

∴ 7 × 3 + 7 × 0.8 = 21 + 5.6 = 26.6

∴ 7 × 3.8 = 26.6

- The distributive property ⇒ a(b + c) = ab + ac

4)

- In 8(x + 7) we will multiply 8 by x and 8 by 7 and add them

∵ 8 × x = 8x

∵ 8 × 7 = 56

∴ 8(x + 7) = 8x + 56

5)

- In 6(11 + x) we will multiply 6 by 11 and 6 by x and add them

∵ 6 × 11 = 66

∵ 6 × x = 6x

∴ 6(11 + x) = 66 + 6x

6)

- In 8(x + 1) we will multiply 8 by x and 8 by 1 and add them

∵ 8 × x = 8x

∵ 8 × 1 = 8

∴ 8(x + 1) = 8x + 8

4 0

3 years ago

The sum of 25 and y, multiplied by 2

notka56 [123]

Answer:

50

Step-by-step explanation:

25x2=50

hope this helps and is write but seems pretty good

5 0

3 years ago

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What is the product of 3a + 5 and 2a2 + 4a – 2?