Fill in the blanks to solve the equation.
2 (2 – 14) = } (x – 12)
= {x – 4
N
-7 = -4
2=

Using arithmetic sequence concepts, it is found that the common difference of the sequence is of -7.

In this problem, the sequence is: {-8, -1, 6, 13}

The difference between consecutive terms is:

[tex]13 - 6 = 6 - (-1) = -1 - (-8) = 7[/tex]

Hence, the common difference of the sequence is of -7.

You can learn more about arithmetic sequence at https://brainly.com/question/6561461

Answer:

Not sure what number sense is, but 3 is the answer.

Step-by-step explanation:

Answer:

the answer would be 3.

Step-by-step explanation:

5 times 3 is 15 plus 40 is 55. Hope this helps!!! Please let me know if i'm right!!!

Answer:

[tex]N = 5040[/tex]

Step-by-step explanation:

Required

Arrange the letters of "sleepless"

First, we count the number (n) of characters

[tex]n = 9[/tex]

First, we count the number (n) of repeated characters

[tex]s = 3[/tex]

[tex]e = 3[/tex]

[tex]l = 2[/tex]

The arrangement (N) is then calculated as follows;

[tex]N = \frac{n!}{s!e!l!}[/tex]

This gives:

[tex]N = \frac{9!}{3!3!2!}[/tex]

[tex]N = \frac{9*8*7*6*5*4*3*2*1}{3*2*1*3*2*1*2*1}[/tex]

[tex]N = \frac{362880}{72}[/tex]

[tex]N = 5040[/tex]

Hence, there are 5040 distinct arrangements

Answer:

This explanation is not correct

Explanation:

Significance level is the probability that the null hypothesis rejected is in fact true. If we say there is a significance level of 0.10 or 10%(α=0.10 level) then there is a 10% chance of incorrectly rejecting the null hypothesis when there is actually no difference.

If we wish to reach a conclusion on rejection or acceptance of the null hypothesis, we could use the p value(the probability that observed results or more extremee results are true given null hypothesis)which we compare with the significance level to conclude. If the significance level is 0.10 and p value is 0.07(since p value is less than significance level) , we reject the null hypothesis and vice versa.

The significant level, α = 0.05 level specifies a probability of the correctness of the null hypothesis.

Reasons:

The significant level specifies the the likelihood of rejecting a true null

hypothesis, such that a 5% significance level indicates that the risk of

drawing a conclusion that there is a difference in a sample, when the

samples are similar is 5%, and therefore, the probability that null

hypothesis is true is 5% or 0.05.

The level of significance is a specification that indicates the amount of

evidence required within a sample to allow the rejection of the null

hypothesis, and reach a conclusion that the observed effect is statistical

significant at the α = 0.05 level.

Therefore;

The statement by the student that "This means that the probability that the null hypothesis is true is less than 0.05" is correct.

Learn more about hypothesis testing here:

https://brainly.com/question/13122036

Answer: -20

Step-by-step explanation:

2(-3 -7)

Use distributive property

2 * -3 = -6

2 * -7 = -14

-6 -14

Then, combine them

-6 -14 = -20

Answer:

-20

Step-by-step explanation:

Answer:

Results below

Step-by-step explanation:

Equation of the line

A straight line can be written in the form:

y = ax + b

Where a and b are constants and x is the independent variable.

The essential condition for an equation to be linear is that the x must be powered to the exponent 1, which is usually not written.

From the equations presented in the table:

[tex]y = x^1+2[/tex] is linear because the exponent of the x is 1

y = 5(x+2) = 5x + 10 is linear with a=5 and b=10.

y = x is linear with a=1 and b=0

[tex]y = x^2+1[/tex] is not linear because the exponent of x is 2

[tex]y = x(x) = x^2[/tex] is not linear because the exponent of x is 2

The table below summarizes the results

Answer:

D is the correct answer actually

Step-by-step explanation:

just took the unit review

Answer:

d

Step-by-step explanation:

Answer:

5/12

Step-by-step explanation:

15 to 36 can also be written as 15/36.

Divide by common values to simplify.

15÷3/36÷3

5/12

Best of Luck!

Answer:

Its c/2

Step-by-step explanation:

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Answer:

5 13/15 miles

Step-by-step explanation:

Answer:

The answer is stacy.

Step-by-step explanation:

if you do 112 divided by 8 you get 14

if you do 75 divided by 5 you get 15

Answer:

50 minutes

Step-by-step explanation:

x=9

(5x9+5)+9+13=72

50+9+13=72

59+13=72

5x9=45

45+5=50

16 wide

Step-by-step explanation:

because i do 8 x 2

Answer: 4 cm will equal the width of the volleyball court on the scale drawing

Step-by-step explanation:

1cm = 2m

8m/2m =4 cm

Answer: 5 Hours

Step-by-step explanation: Divide 2 by 16 to get how many hours it takes to run 1 mile. Then multiply that number by 40 to get how many hours it would take run 40 miles.

Answer: 6 hours

Step-by-step explanation: if 16×3=48 and 2×3=6 it would take approximately 6 hours

Answer:

x = 2, y = 9 or (2,9)

Step-by-step explanation:

Hello!

The first equation "y = 5x - 1" is telling us that y is equal to 5x - 1

We can plug in the first equation into the second like this:

2x + y = 13 (we know y so we can plug it in)

2x + (5x - 1) = 13

2x + 5x - 1 = 13

7x - 1 = 13

Now we add 1 to both sides

7x - 1 + 1 = 13 + 1

7x = 14

x = 2

Now we plug in x to find y:

y = 5x - 1

y = 5(2) - 1

y = 10 - 1

y = 9

Answer:

Where is the figure?

Step-by-step explanation:

Answer: (a) 10 (b) 1. 10 2. -10 (c) 1. 10 2. 10

Step-by-step explanation:

Answer:

im pretty sure it is 2m + 10

bc the min is going up by 2 every time and the gallons are going up by 10 each time

Step-by-step explanation

i commented b4 i actually answered it bc it wouldnt let me sry

Answer:

y coordinate is (0,-3) slope is 2

Step-by-step explanation:

it is bro

Answer:

y-int = -3

slope = 2x

Step-by-step explanation:

Answer:

the first one is your answer

Step-by-step explanation:

Hi there!

[tex]\large\boxed{x = \frac{3}{4}, y = \frac{9}{4}}}[/tex]

8x + 4y = 15

x + y = 3

Use the second equation to solve for a particular variable since it is easier to isolate. We can begin by solving for y:

x + y = 3

Subtract y from both sides:

x = -y + 3

Substitute in this expression for x into the other equation:

8(-y + 3) + 4y = 15

Distribute and simplify:

-8y + 24 + 4y = 15

-4y + 24 = 15

-4y = -9

y = 9/4

Substitute in this value of y to solve for x:

8x + 4(9/4) = 15

8x + 9 = 15

8x = 6

x = 6/8 = 3/4

The values respectively are:

x = 3/4, y = 9/4

Answer:

The actual height of telescope is 42.85 inches

Step-by-step explanation:

Given that:

Height of model of telescope = 15 inches

Diameter of model of telescope = 3.5 inches

Actual diameter of telescope = 10 inches

Actual height of telescope = x

Ratio of model's diameter to height :: Ratio of actual diameter to height

3.5 : 15 :: 10 : x

Product of extreme = Product of mean

3.5*x = 10*15

3.5x=150

Dividing both sides by 3.5

[tex]\frac{3.5x}{3.5}=\frac{150}{3.5}\\x=42.85[/tex]

Hence,

The actual height of telescope is 42.85 inches