what is the equation of the line in slope-intercept form?

Answer:

Step-by-step explanation:

A "common factor" is either a constant coefficient or a variable which shows up in every term of a given algebraic expression.  

Here we start with the expression  12n^6 + 27n^2 - 18.  'n' does not show up in every term and thus could not be a "common factor" of this expression.  On the other hand, 12, 27 and -18 can all be divided by 3, and so 3 is a common factor.

12n^6 + 27n^2 - 18 = 3(4n^6 + 9n^2 - 6)

1)  Identify the common factor (here it's 3)

2) Factor that out of the given expression:   3(4n^6 + 9n^2 - 6)

Answer: I believe the answer you're looking for is absolute value

I hope this helps!!!

Answer:

Step-by-step explanation:

To find what a digit stands for, make all the other digits zero.

This is substantially what we do when we write the number in "expanded form."

  568,924,126

  = 500,000,000 +60,000,000 +8,000,000 +900,000 +20,000 +4,000 ...

     ... +100 +20 +6

The list of numbers in the sum is the list of numbers the digits stand for.

Answer:

it is one square

Step-by-step explanation:

in the middle is room for one but anywhere else isn't

Answer:

719 = x

Step-by-step explanation:

877+100=_x_+258

Combine like terms

977 = x+258

Subtract 258

977 -258 = x+258-258

719 = x

Answer:

a)  Null hypothesis : H₀ : μ = 5.5

 Alternative Hypothesis : H₁ : μ < 5.5

b) The test statistic

        |t| = |-3.33| = 3.33

c) P - value lies between in these intervals

0.001 < P < 0.005

Step-by-step explanation:

Step( i ):-

Given data the Population mean 'μ' = 5.5

The small sample size 'n' = 16

The sample mean (x⁻) = 5.25

Given the  percentage of SiO2 in a sample is normally distributed with a sigma of 0.3.

Null hypothesis : H₀ : μ = 5.5

 Alternative Hypothesis : H₁ : μ < 5.5

 Level of significance ∝ = 0.01

Step(ii):-

 The test statistic

                              [tex]t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]

                             [tex]t = \frac{5.25 -5.5}{\frac{0.3}{\sqrt{16} } }[/tex]

On calculation , we get

                            t = -3.33

                           |t| = |-3.33| = 3.33

Step(iii):-

P - value

The degrees of freedom γ = n-1 = 16-1 =15

The calculated value t = 3.33 (check t-table) lies between the 0.001 to 0.005

0.001 < P < 0.005

Condition(i)

P - value < ∝ then reject H₀

Condition(ii)

P - value > ∝ then Accept H₀

we observe that  0.001 < P < 0.005

P- value < 0.01

we rejected  H₀

(or)

The tabulated value  = 2.60 at 0.01 level of significance with '15' degrees of freedom

The calculated value t = 3.33 > 2.60 at 0.01 level of significance with '15' degrees of freedom

The null hypothesis is rejected

Conclusion:-

Accepted Alternative hypothesis H₁

The Claim that the true average is smaller than 5.5

Answer:

2/6 or 1/3 I think

Step-by-step explanation:

you have a 1 out of 2 chances to land tails and 1 out of 4 chance to role a 2 on the spinner. so in total there is 6 chances for rolling and flipping the coin. and there is only 1 chance for both in the odds.

therefore I believe that its is 1/3 or 2/6. I do not know if I am right exactly but that is my thought process.

Answer:

  2j -20 ≤ 46

Step-by-step explanation:

"20 less than double the number Jason [hit]" can be represented by 2j-20.

We are told that 46 is no fewer than this value, so it is greater than or equal to this value:

  46 ≥ 2j -20

  2j -20 ≤ 46 . . . . . swapping sides to match answer choices

Answer:

2j -20 ≤ 46

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The probability of tails is 1/2, so the expected value is (1/2) (10) = 5.

Answer:

5

Step-by-step explanation:

Probability of land a tail when the coin is tossed once is 1/2 because a coin has two sides and contains one head

Then when it is tossed 10 times, the no of time a tail appears is. 1/2 * 10 =5

Answer:1.2872686 x 10^10

Step-by-step explanation:

46 x 23^4 x 1000

46 x 23 x 23 x 23 x 23 x 1000

1.2872686 x 10^10

Answer:

( 5 x 9 ) - 14

Which equals 31

Answer:

31

Step-by-step explanation:

5 x 9- 14 is 31

Answer:

Total length of iron needed to make the square frame and two diagonals =  43.44 in (Approx)

Step-by-step explanation:

Given:

Length of diagonal = 9 in

Find:

Total length of iron needed to make the square frame and two diagonals.

Computation:

Area of square = 1/2(diagonal)²

Area of square = 1/2(9)²

Area of square = 40.5 in²

Area of square = Side × Side

40.5 in² = Side × Side

Side = 6.36 (approx)

Total length of iron needed to make the square frame and two diagonals = Permeter of square + (2 × diagonal)

⇒ (4 × 6.36) + (2 × 9)

⇒ (25.44) + (18)

⇒ 43.44 in

Total length of iron needed to make the square frame and two diagonals =  43.44 in (Approx)

Answer:

{-7,5,18,24,32}

Step-by-step explanation:

Let's verify all cases to determine the solution to the problem.

CASE A) we have

-9,7,15,22,26

The number 22 is not included in the solution set of the compound inequality.

CASE B) we have

-7,5,18,24,32

The number 22 is not included in the solution set of the compound inequality.

CASE C) we have

16,17,22,23,24

The number 22 is not included in the solution set of the compound inequality.

CASE D) we have

18,19,20,21,22

The numbers 19,20,21,22 are not included in the solution set of the compound inequality.

The answer to your question would be A

Answer:

1/6

Step-by-step explanation:

3/6 for even 3/6*2/6-----1/2*1/3

Answer:

It isn't 100

(0.5 is 1/2)

2/0.5=4

50x4=200

Hope this helps

Step-by-step explanation:

Answer:

They both factored it correctly

Step-by-step explanation:

To find the one that was factored correctly, we expand the two of them and compare with [tex]45y^6[/tex].

Fernando

[tex](9y^3)(5y^3)[/tex]

= [tex]9 * 5 * y^3 * y^3[/tex]

= [tex]45y^6[/tex]

Salma

[tex](3y)(15y^5)[/tex]

= [tex]3 * 15 * y * y^5[/tex]

= [tex]45y^6[/tex]

As we can see, they both factored it correctly.

Answer:

both are correct in their factoring

Step-by-step explanation:

Answer:

2 units moved?

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The median is the middle number after ordered into numberical order. If there's two and the numbers are different, you add them and divide the total by 2.

Answer: 4

Step-by-step explanation: The median is the middle number in the data set when the data set is written from least to greatest.

So let's write our data set from least to greatest.

So we have 1, 1, 2, 3, 4, 4, 4, 6, 6, 10.

Now, notice that there are two numbers that appear in the middle.

I have underlined them above.

When two numbers appear in the middle that are the same number (4 and 4), the median will be the same number too.

So the median of the given data set is 4.

Answer: a makes the most sense

Step-by-step explanation:

Answer:

-3 is not in the domain of f°g

Step-by-step explanation:

f°g=f(g(x))

f(x) = -4(√x-1)+8

*Remember that √x-1 has to be larger than 0

since √-3-1 = √-4, -3 is not in the domain of f°g

Answer:

The answer is A

Step-by-step explanation:

Edg : )

Answer:

A

Step-by-step explanation:

Answer:

  [tex]a^5=3[/tex]

Step-by-step explanation:

When it comes to exponential expressions and logarithms, the following relationship applies:

  [tex]\log_b{(x)}=a\ \leftrightarrow\ b^a=x[/tex]

Here, it means ...

  [tex]\boxed{a^5=3}[/tex]

Answer:

[tex] \huge \purple { \boxed{{a}^{5} = 3}}[/tex]

Step-by-step explanation:

[tex] log_{a}(3) = 5 \\ 3 = {a}^{5} \\ \huge \red { \boxed{{a}^{5} = 3}}[/tex]

Answer:

Yes, he would take the same decision.

Step-by-step explanation:

Consequently, because the decision is taken on the test based on the use of alpha equals 0.025, the p-value of the test must have been greater than the given amount of importance that is 0.025 since the test is not applicable to us. So, p > 0.025.

If we know that p > 0.025, that would not mean p > 0.1 as well, because we do not know with the details given he had to make the same decision for 0.1 degree of meaning.

As for the 0.01 significance point, we 're sure p > 0.01 is greater than 0.025, so the test does not matter.

Answer:

100x3=100  55x3=the answer    55x3=165 students   165 6th graders have a younger sibling.

Step-by-step explanation:

i did the assignment

55 percent of 300 is equal to 165.

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.

Given,

55% of 300

55% can be written as fraction 55/100

= (55/100) × 300

Dividing 300 by 100

= 55 × 3

Multiplying

= 165

Hence, 165 is 55 percent of 300.

Learn more about percentage here:

https://brainly.com/question/24159063

#SPJ5

Answer:

D. Vertx: (3,-16); Intercepts: x = -1, 7

Step-by-step explanation:

I graphed the equation on the graph below.

Answer:

if it ends in 5 then you round up but if it's less than 5 you round down

Step-by-step explanation:

You first have to locate the digit in the rounding place and this digit can be in the ones place, tens place,

hundreds place, thousands place, and so on.

After you locate the digit, look at the

digit to the right of the rounding place.

If the digit to the right of the rounding place is less than 5, we round down and if the digit is greater than or equal to 5, we round up.

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the dimension of the polygon is not given.

However, I'll give a general explanation of how to calculate the area of a regular polygon.

If you follow these simple steps, you'll arrive at your answer.

The area of a polygon is calculated as thus;

A = ½(nbh)

Where A represent the area

n represents the number of sides

b represents the length of the base

h represent the height of the polygon

Take for instance, the polygon is a regular pentagon.

This means n = 5.

Also assume that the base and the height are 5cm and 7cm respectively.

This means that

Area = ½ * (5 * 5 * 7)

Area = ½ * 175

Area = 87.5cm²

Hence, the area of the polygon is 87.5cm²

Answer:

a. Yes

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If the absolute value of the z-score is 2 or larger, X is considered a surprising outcome.

In this question:

[tex]\mu = 7, \sigma = 3[/tex]

Would you be surprised if it took less than one minute to find a parking space?

We have to find the z-score when X = 1. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1 - 7}{3}[/tex]

[tex]Z = -2[/tex]

Since Z = -2, the correct answer is:

a. Yes