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satela [25.4K]
2 years ago
13

Find the product of 3x × 2x​

Mathematics
1 answer:
yan [13]2 years ago
4 0

Answer:

6X²

Step-by-step explanation:

When multiplying terms like this, multiply the numbers by the numbers and the X's by the X's:

3X × 2X

(3×2)(X×X)

(6)(X²)

6X²

You might be interested in
f the dean wanted to estimate the proportion of all students receiving financial aid to within 3% with 99% reliability, how many
Oksanka [162]

Answer:

n=1849

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".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

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 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

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 0.03 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)  

Assuming that the proportion is estimated \hat p =0.5. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.03}{2.58})^2}=1849  

And rounded up we have that n=1849

7 0
3 years ago
a rectangular prism has a volume of 4,212 cubic yards, width 2 yards, and length 27 yards find it’s height in yards
weqwewe [10]

Answer:

height = 78 yd

Step-by-step explanation:

<u>Formula</u>

Volume of a rectangular prism = width × length × height

Given:

  • volume = 4,212 yd³
  • width = 2 yd
  • length = 27 yd

Substituting given values into the formula and solving for height:

⇒ 4212 = 2 × 27 × height

⇒ 4212 = 54 × height

⇒ height = 4212 ÷ 54

⇒ height = 78 yd

7 0
2 years ago
Read 2 more answers
Evaluate this expression for x =4<br><br> 4*(x-2)^2-9
TiliK225 [7]

Answer:

ok so the answer is 1/32 or 0.03125

Step-by-step explanation:

Hope this helped!!

8 0
3 years ago
A rectangle prism has a length of 3 1/2 inches a width of 5 inches and height of 1 1/2 inches what is the volume
vivado [14]

Answer:

Step-by-step explanation: I hope that helps you.

4 0
3 years ago
well if fiona multiplies a number by 2 thirds the product is greater than 2 thirds which could be that number that fiona multipl
DIA [1.3K]

Answer:

it will be B) 6/5 because thats the only thing that would get you a greater number then 2/3

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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