1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
WARRIOR [948]
3 years ago
14

If x is a positive integer then 2(x)³ = 8x 8x³ 6x³ 2x³ 6x

Mathematics
1 answer:
marysya [2.9K]3 years ago
5 0
It is equal to 2(x)^3 because pemdas, exponnets come before multiplication so it would be x^3 then multiply whatever that is by 2

2x^3 is answer (4th choice)
You might be interested in
Write each polynomial in standard form. Then state the degree, the number of terms, and
salantis [7]
Standard form:
-4x^3 - 6x^2 + 2x + 12

Degree = 3

Terms = 4

Zeros = 3
8 0
2 years ago
The mean annual premium for automobile insurance in the United States is $1503 (Insure website, March 6, 2014). Being from Penns
romanna [79]

Answer:

If we compare the p value and the significance level for example \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the mean annual premium in Pennsylvania is significantly lower than the national mean annual premium of 1503 at 5% of significance.

Step-by-step explanation:

1) Data given and notation  

\bar X=1440 represent the mean annual premium value for the sample  

s=165 represent the sample standard deviation for the sample  

n=25 sample size  

\mu_o =1503 represent the value that we want to test

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean annual premium in Pennsylvania is lower than the national mean annual premium, the system of hypothesis would be:  

Null hypothesis:\mu \geq 1503  

Alternative hypothesis:\mu < 1503  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{1440-1503}{\frac{165}{\sqrt{25}}}=-1.909    

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=25-1=24  

Since is a one side left tailed test the p value would be:  

p_v =P(t_{(24)}  

Conclusion  

If we compare the p value and the significance level for example \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the mean annual premium in Pennsylvania is significantly lower than the national mean annual premium of 1503 at 5% of significance.  

7 0
3 years ago
B) Expand and simplify. (m-3) (m+2)​
ivolga24 [154]

Answer:

m^2 - m - 6

Step-by-step explanation:

(m-3)(m+2)

m^2 - 3m + 2m - 6

m^2 - m - 6

6 0
1 year ago
Read 2 more answers
A transformation describes a change in location, orientation, or size of a figure. Translations, reflections, and rotations belo
marshall27 [118]

Answer: These are called rigid transformations because the structure and shape of the shape remains the same.

Step-by-step explanation: The word rigid and rigidity is often used to describe something that is tough or the strength of something. The transformations might be called a rigid transformation because the rigidity of the shape remains the same because the size is the exact same, it is the exact same shape it is just moved.

3 0
3 years ago
Find UV (Pic Stated Below)
natta225 [31]

Answer:

UV=29

Step-by-step explanation:

In right triangles AQB and AVB,

∠AQB = ∠AVB ...(i)  {Right angles}

∠QBA = ∠VBA ...(ii)  {Given that they are equal}

We know that sum of all three angles in a triangle is equal to 180 degree. So wee can write sum equation for each triangle


∠AQB+∠QBA+∠BAQ=180 ...(iii)

∠AVB+∠VBA+∠BAV=180 ...(iv)


using (iii) and (iv)

∠AQB+∠QBA+∠BAQ=∠AVB+∠VBA+∠BAV

∠AVB+∠VBA+∠BAQ=∠AVB+∠VBA+∠BAV  (using (i) and (ii))

∠BAQ=∠BAV...(v)


Now consider triangles AQB and AVB;

∠BAQ=∠BAV  {from (v)}

∠QBA = ∠VBA {from (ii)}

AB=AB  {common side}

So using ASA, triangles AQB and AVB are congruent.

We know that corresponding sides of congruent triangles are equal.

Hence

AQ=AV

5x+9=7x+1

9-1=7x-5x

8=2x

divide both sides by 2

4=x

Now plug value of x=4 into UV=7x+1

UV=7*4+1=28+1=29

<u>Hence UV=29 is final answer.</u>

7 0
3 years ago
Other questions:
  • A surf instructor has an initial fee of $12 and charges $8
    5·1 answer
  • Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unknown
    6·1 answer
  • Select the correct answer.
    12·1 answer
  • Distribute &amp; combine 5(x-4) +2x-3
    10·1 answer
  • A modified roulette wheel has 44 slots.One slot is 0, another is 00, the others are numbered 1 trough 42 respectively.You are pl
    6·1 answer
  • How much is $25/ an hour
    9·1 answer
  • Yes. im faling which means i need help asap​
    5·1 answer
  • What is the density of an object that has a mass of 11 g and volume of 5.5<br> mL?
    13·1 answer
  • I'll give brainiest to the right answer!
    5·1 answer
  • Is a list of numbers and each number is called a term of the sequence
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!