'Nine less than the product of four and a number

Answer:

c(x) = 40 (x) + $6,900

Step-by-step explanation:

According to the scenario, given data are as follows,

Total cost of 100 bicycles (x1) = $10,900

Total cost of 120 bicycles (x2) = $11,700

Let Number of bicycles = X

Than cost of X bicycles = c(X)

let, fixed cost be F and variables cost be V, than

c(X) = V(X) + F

So, we can calculate variable cost by using following method,

V = c(x2) - c(x1) ÷ ( x2 - x1)

= ( $11,700 - $10,900) ÷ ( 120 - 100)

= $800 ÷ 20

= $40

So, calculate fixed cast by putting value to equation,

$10,900 = ($40 ×100) + F

F = $10,900 - $4,000 = $6,900

So, For x number of bicycles, cost equation will be,

c(x) = 40 (x) + $6,900

Answer:

The answer is 7 x + 3 =24 because its a problem solving

The requried simplified value of the 12 sided-polygon is given as 21.

Polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,

Examples of polygons, equilateral triangles, squares, pentagons, etc

Here,
The polygon given has 12 sides,
The angle of the polygon is given as,
7x + 3 = (n - 2) × 180/n
7x + 3 = (12 - 2) × 180/12

7x + 3 = 10×15
7x = 150 - 3
x = 147/7
x = 21

Thus, the requried simplified value of the 12 sided-polygon is given as 21.

Learn more about polygon here:

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Answer:

3/4 is greater

Step-by-step explanation:

3/4 > 6/10

Answer:

3/4 is more

Step-by-step explanation:

divide 6/10 by 2 to get a simpler fraction. that will be 3/5. to make 3/5 and 3/4 have a common denominator you need to multiply 3/5 by 4 which is 12/20, then 3/4 by 5 which is 15/20.

Answer:

b

Step-by-step explanation:

the slope is 7 bc of y=mx+b. m is the slope

Answer:

When x=10 f(x) is equal to 15

Step-by-step explanation:

Just substitute the two equations, 15=2x-5 -> 20=2x -> x=10.

Answer:

Always.

Step-by-step explanation:

Answer:

Always

Step-by-step explanation:

The first term of the product is always the first term of the original binomial squared.

The middle term of the product is always negative and equal to twice the product of the first and last terms of the original binomial.

The last term of the product is always positive and equal to the last term of the original binomial squared.

EX: Find the product of (3x − 4)2.

Identify what a and b are in the given binomial. Here, a is equal to 3x and b is equal to 4.

(3x − 4)2

substitute a for 3 times x and substitute b for 4 a     b

Now, substitute the values for a and b into a2 − 2ab + b2.

a2 − 2ab + b2

Make sure you place the term in parentheses when it involves more than one factor. Then, use the Power of a Product rule to simplify.

(3x)2 − 2(3x)(4) + (4)2

32x2 − 24x + 16

9x2 − 24x + 16

Done!

Answer:

x ≥ 7

Step-by-step explanation:

First, put the same terms on the same side. So subtract 5 from both sides. You will get:

-3x ≤ -21

Divide both sides by -3 to get x alone. When dividing, the inequality sign will change to the opposite. So it will go from a (less than or equal to) sign to a (greater than or equal to) sign.

You will get:

x ≥ 7

Therefore, x will be a number that is greater than or equal to 7.

Answer:

A) At α = 0.05, reject the null hypothesis.

Step-by-step explanation:

Given a p-test value of 0.0436 ;

P-value = 0.0436

Recall :

Decision region :

Reject Null if p value < α

Testing the options :

A) At α = 0.05,

0.0436 < 0.05 (true)

Since p value < α ; Reject the null hypothesis.

B) At α = 0.10,

0.0436 < 0.1

True conclusion is to reject the Null Hypothesis

Hence, option B is incorrect.

C) At α = 0.025, reject the null hypothesis.

0.0436 > 0.025

True conclusion is ; Fail to reject the Null ;

Hence, option C is incorrect

D) At α = 0.05, accept the null hypothesis.

0.0436 < 0.05

True conclusion is ; reject the Null

Hence, option D is incorrect

Answer:

Y = 3

Step-by-step explanation:

2(4) = 8

Subtract 8 on both sides

-y = -3

Y=3

Answer:

1 2/3

Step-by-step explanation:

convert to improper fraction:

13/3 - 8/3

then solve:

13/3 - 8/3 = 5/3

convert back to a mixed number (unless your not supposed to, if that is the case then "5/3" is your answer):

"1 2/3" is "5/3" as a mixed number.

so your answer (as a mixed number) is:

"1 2/3"

Answer:

B

Step-by-step explanation:

because B is 8/20 and it's not equivalent to 40/100

Answer:

Step-by-step explanation:

4√6 X 2√2 4√3 16√3 32√3 8√12

Answer: 16√3

Step-by-step explanation:

Answer:

21/72 = 0.2917 = 29.17% probability that a 6 is rolled both times

Step-by-step explanation:

Two have faces numbered 1,2,3,4,5, and 6

So for these two, each with 1/4 probability of being chosen, the probability of rolling two six is given by:

(1/6)^2 = 1/36

So

[tex]p_A = 2 \times \frac{1}{4} \times \frac{1}{36} = \frac{1}{72}[/tex]

One has faces numbered 2,2,4,4, 6 and 6;

The probability of rolling 2 faces six with this dice is:

(2/6)^2 = 4/36

This dice has 1/4 probability of being chosen. So

[tex]p_B = \frac{1}{4} \times \frac{4}{36} = \frac{1}{36}[/tex]

One has all six faces numbered 6.

The probabilityu of rolling two six is given by:

(6/6)^2 = 1^2 = 1

This dice has 1/4 probability of being chosen. So

[tex]p_C = \frac{1}{4} \times 1 = \frac{1}{4}[/tex]

Calculate the probability that a 6 is rolled both times

[tex]p = p_A + p_B + p_C = \frac{1}{72} + \frac{1}{36} + \frac{1}{4} = \frac{1 + 2 + 18}{72} = \frac{21}{72}[/tex]

21/72 = 0.2917 = 29.17% probability that a 6 is rolled both times

Answer:

sigma should be used

Step-by-step explanation:

Given that The mean length of time in jail from the survey was four years with a standard deviation of 1.9 years.

The above given is for sample of 27 size.

For hypothesis test to compare mean of sample with population we can use either population std dev or sample std dev.

But once population std deviation is given, we use only that as that would be more reliable.

So here we can use population std deviation 1.4 only.

If population std deviation is used we can use normality and do Z test

Hope this helps ;)

Answer:

40.50

Step-by-step explanation:

you take 600.00 and multiply it by 2.25 you will get 1,350 divide 1,350 by 100 you will get 13.50 multiply 13.50 times 3 you get 40.50 that is interest for 3 years

Answer:

We conclude that the table C represents a constant change in x and y.

Hence, table C represents that y is a linear function of x.

Step-by-step explanation:

Here are some of the rules using which we can easily figure out the true nature of a function.

Linear Function:

The constant change in x and y

Quadratic Function:

The constant change in x

The constant 2nd differences in y

Exponential Function:

The constant change in x

The constant ratio in y

We have to find a table in which y is a  linear function of x.

Checking the table C

x         -1         0        1         2          3

y         6         8       10        12        14

Here:

There is a  constant change in x.

i.e. 0 - (-1) = 1;  1 - 0 = 1;  2 - 1 = 1;  3 - 2 = 1

Also there is a  constant change in y.

i.e. 8 - 6 = 2;  10 - 8 = 2;  12 - 10 = 2;  14 - 12 = 2

Thus, we conclude that the table C represents a constant change in x and y.

Hence, table C represents that y is a linear function of x.

Answer:

[tex]\frac{26}{7}[/tex]

Step-by-step explanation:

Each person will get 3 packs of candy bars

The given parameters are:

Candy bars = 26 pack

People = 7

The number of pack each person will have is then calculated as:

Pack =Candy bars / People

So, we have:

[tex]Pack = \frac{26}{7}[/tex]

Divide 26 by 7 (remove the decimal or fractional parts)

[tex]Pack = 3[/tex]

Hence, each person will get 3 packs of candy bars

Read more about quotients at:

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Answer:

55%

Step-by-step explanation:

I divided 22 by 40 to get the percentage she got wrong

hope this is correct and helps :)

Answer:

The percentage is 55%

Answer:

-1,5

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(30) = 0.40×30 = $12

Running the computer for 30 days will cost $12 in electricity.

Answer:

Step-by-step explanation:

A. She can cut 4 pieces that are 8.25 feet each.   This uses all 33 feet of ribbon with no waste.

B. She can cut 5 pieces that are 6.6 feet each.   This uses all 33 feet of ribbon with no waste.

C. She can cut 4 pieces that are 8 feet each.   This adds up to 32 feet, and so 1 ft is wasted

D. She can cut 5 pieces that are 6.75 feet each.  Not possible, as this adds up to 33.75 ft, which is more ribbon than Betty has.

Answer:

B.9x

Step-by-step explanation:

A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted. Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient.

Answer:

m = 16

Step-by-step explanation:

hope this helps!!!!

Answer:

1 inch= 40 miles

Step-by-step explanation:

u don't need one it's very easy