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fiasKO [112]
2 years ago
11

Are 8x and 2x to the second power like terms?

Mathematics
1 answer:
quester [9]2 years ago
4 0

Answer:

Yes. The x coefficient will be x^2 for both of them, allowing you to effectively combine them.

Step-by-step explanation:

You might be interested in
Lena and Jade had a total of $36. Lena had twice as much as Jade. After each of them bought a movie ticket. Lena had 3 times as
marusya05 [52]
Lena had $24 at the beginning
the movie ticket was $6
it's just basic algebra
4 0
2 years ago
Mr. Rush wants to store 20.5 cups of spaghetti sauce in containers. Each container holds a maximum of 2.5 cups of sauce. What is
Natali5045456 [20]

The answer is 9

Explanation:

We know the total amount of spaghetti sauce is 20.5 cups; additionally, each container can be filled with a maximum of 2.5 cups of this sauce. In this context, the process to know the number of containers Mr. Rush needs to store all the sauce is to divide the total amount by the amount each container can hold.

20.5 cups of sauce ÷ 2.5 cups per container = 8.2 containers

This means 8 containers can be completely filled and a ninth container is required to hold the small amount of the sauce missing (0.2)

6 0
3 years ago
In a recent​ year, a poll asked 2362 random adult citizens of a large country how they rated economic conditions. In the​ poll,
Harman [31]

Answer:

a) The 99% confidence interval is given by (0.198;0.242).

b) Based on the p value obtained and using the significance level assumed \alpha=0.01 we have p_v>\alpha so we can conclude that we fail to reject the null hypothesis, and we can said that at 1% of significance the proportion of people who are rated with Excellent/Good economy conditions not differs from 0.24. The interval also confirms the conclusion since 0.24 it's inside of the interval calculated.

c) \alpha=0.01

Step-by-step explanation:

<em>Data given and notation   </em>

n=2362 represent the random sample taken

X represent the people who says that  they would watch one of the television shows.

\hat p=\frac{X}{n}=0.22 estimated proportion of people rated as​ Excellent/Good economic conditions.

p_o=0.24 is the value that we want to test

\alpha represent the significance level  

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  <em> </em>

<em>Concepts and formulas to use   </em>

We need to conduct a hypothesis in order to test the claim that 24% of people are rated with good economic conditions:  

Null hypothesis:p=0.24  

Alternative hypothesis:p \neq 0.24  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Part a: Test the hypothesis

<em>Check for the assumptions that he sample must satisfy in order to apply the test   </em>

a)The random sample needs to be representative: On this case the problem no mention about it but we can assume it.  

b) The sample needs to be large enough

np = 2362x0.22=519.64>10 and n(1-p)=2364*(1-0.22)=1843.92>10

Condition satisfied.

<em>Calculate the statistic</em>  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.22 -0.24}{\sqrt{\frac{0.24(1-0.24)}{2362}}}=-2.28

The confidence interval would be given by:

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

The critical value using \alpha=0.01 and \alpha/2 =0.005 would be z_{\alpha/2}=2.58. Replacing the values given we have:

0.22 - (2.58)\sqrt{\frac{0.22(1-0.22)}{2362}}=0.198

 0.22 + (2.58)\sqrt{\frac{0.22(1-0.22)}{2362}}=0.242

So the 99% confidence interval is given by (0.198;0.242).

Part b

<em>Statistical decision   </em>

P value method or p value approach . "This method consists on determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided is \alpha=0.01. The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(z  

So based on the p value obtained and using the significance level assumed \alpha=0.01 we have p_v>\alpha so we can conclude that we fail to reject the null hypothesis, and we can said that at 1% of significance the proportion of people who are rated with Excellent/Good economy conditions not differs from 0.24. The interval also confirms the conclusion since 0.24 it's inside of the interval calculated.

Part c

The confidence level assumed was 99%, so then the signficance is given by \alpha=1-confidence=1-0.99=0.01

6 0
2 years ago
Which medicinal product is made using animal products?
raketka [301]

Answer:

C. Rose oil

Step-by-step explanation:

Which medicinal product is made using animal products?

A. Flu vaccine

O

B. Aspirin

C. Rose oil

O

D. Morphine

SUBM

3 0
3 years ago
Solve this problem please
nika2105 [10]
Hi, Ptaverez1! :)

First we must length of an individual square; This can be achieved by using the formula for the area of a square:
l^2
l=Length

Lets input the information we already know:
l^2=42.25
Take square root.
l=\sqrt42.25
l=6.5

The length of an individual square tile is 6.5 ft.

Since they're are 9 tiles and the porch in a square, I can conclude that the measurements for the porch are 3 tiles by 3 tiles (as 3*3=9; using the formula for the area of a square.)

Since the length of the porch is 3 tiles, we must multiply the individual tiles piece length by 3:
3*6.5
=19.5

The formula for the perimeter of a square is:
l*4
l=length

Lets input the information we know:
19.5*4
=78

The perimeter of the porch is 78 feet²

Hope this helps.
-Benjamin

8 0
3 years ago
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