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2 years ago

Please help!!! Will mark brainliest!!!

Mathematics

1 answer:

LenaWriter [7]2 years ago

4 0

Answer:

<h2>A.</h2><h3>i have to write more than 20 characters</h3><h3>hope you get it right!!!</h3><h3 /><h3> -plopski :)</h3><h3 />

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Factor completely

luda_lava [24]

Answer:

Step-by-step explanation:

1. $7x^3y+14x^2y^3-7x^2y^2$

The GCF of all the term of the above polynomial is $7x^2y$ , hence we take it outside and form a bracket

$7x^2y(x+2y^2-y)$

The polynomial within the bracket can not be factorized further hence this is our final answer. Option (B) is the right answer

2. $5x(x+3)+6(x+3)$

The GCF of all the term of the above polynomial is $(x+3)$ , hence we take it outside and form a bracket

$(x+3)(5x+6)$

The polynomial within the bracket can not be factorized further hence this is our final answer. Option (B) is the right answer

3. $8x^5+2x^4+4x^2$

The GCF of all the term of the above polynomial is $2x^2$ , hence we take it outside and form a bracket

$2x^2(4x^3+x^2+2)$

The polynomial within the bracket can not be factorized further hence this is our final answer. Option (D) is the right answer

4 0

3 years ago

One cookie and two brownies cost the same as two cookies and one brownie. One cookie and one brownie together cost $1. What is t

adoni [48]

Answer:

50 cents

Step-by-step explanation:

Let's set up a system of equations. Let x be a cookie and y be a brownie then...

x+2y=2x+y

x+y=1

We can solve this using substitution

x=1-y

1-y+2y=2(1-y)+y

1+y=2-2y+y

1+y=2-y

-1=-2y

y=1/2

One brownie costs 50 cents and one cookie costs...

x+1/2=1

x=1/2

One cookie costs 50 cents

6 0

2 years ago

Read 2 more answers

Please help me!!!!!!!!!!!

Zolol [24]

Oof your computer is broke broke can’t help

7 0

3 years ago

What is sin -1(1/2) if the terminal side of 0 is located in quadrant 1.

kotykmax [81]

Answer:

Step-by-step explanation:

$\sin^{-1}(\theta)$ is going to output a number in between $\frac{-\pi}{2}$ and $\frac{\pi}{2}$ .

Luckily you are looking for $\theta$ in the 1st quadrant which is contained in the given interval above, so the answer just comes down to what the calculator returns from entering $\sin^{-1}(\frac{1}{2})$ in your calculator.

You may also use the unit circle. sine value refers to the y-coordinate on there.

So you are looking for when the y-coordinate is 1/2 in the fist quadrant which is at 30 degrees.

4 0

2 years ago

A certain test preparation course is designed to help students improve their scores on the LSAT exam. A mock exam is given at th

Valentin [98]

Answer:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (3)

The mean calculated for this case is $\bar X=12.8$

The sample deviation calculated $s=4.324 \approx 4.3$

$12.8-4.604\frac{4.324}{\sqrt{5}}=3.896$

$12.8+ 4.604\frac{4.324}{\sqrt{5}}=21.704$

So on this case the 99% confidence interval would be given by (3.896;21.704)

Step-by-step explanation:

Data: 10,9,20,13,12

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the mean and the sample deviation we can use the following formulas:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (3)

The mean calculated for this case is $\bar X=12.8$

The sample deviation calculated $s=4.324$

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=5-1=4$

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,4)".And we see that $t_{\alpha/2}=4.604$

Now we have everything in order to replace into formula (1):

$12.8-4.604\frac{4.324}{\sqrt{5}}=3.896$

$12.8+ 4.604\frac{4.324}{\sqrt{5}}=21.704$

So on this case the 99% confidence interval would be given by (3.896;21.704)

6 0

3 years ago