Is x = -4 a solution to these equations? Show your work and write YES or NO.

1. 3(2x-4) = -36
2. 5x - 6x - x = 18
3. 5 - 2(3x - 1) = 31

Answer:

The mean and standard deviation of the sampling distribution for the 36 students will be:

Mean = 18.6

Standard deviation = 6

Step-by-step explanation:

The mean and standard deviation of the sampling distribution is equal to the population mean and standard deviation respectively.  The only difference is that the population mean and standard deviation are parameters or fixed values calculated from every individual in the population, while the sample mean and standard deviation are statistics.  Statistics are calculated from only some of the individuals in a population.  They are meant to represent or approximate the population parameters.

Answer:

21

Step-by-step explanation:

21

Answer:

b and c

Step-by-step explanation:

The statements that are true are:

Fractions and ratios cannot have zero in the denominator.

Fractions and ratios can be simplified in the same way.

Fractions and ratios are different names for the same thing.

Options A, B, and C are correct.

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Fraction is written as:

1/2, 3/4, 5/6

Where 1, 3, and 5 are numerators and 2, 4, and 6 are denominators.

The ratio is written in the form a:b.

1:2 = 1/2

4:8 = 4/8 = 1/2

Fractions and ratios cannot have zero in the denominator.

This is true because if we have zero in the denominator the fraction becomes undefined.

Example:

1/0 = ∞

The ratio can not have zero in the denominator because we are comparing two units where neither one unit can be zero.

Fractions and ratios can be simplified in the same way.

This is true.

Example:

Fraction = 2/4 = 1/2

Ratio = 2:4 = 2/4 = 1/2

Fractions and ratios are different names for the same thing.

This is true.

Because ratio can be written as a fraction.

Example: 2:3 = 2/3

Some fractions and ratios can be written as mixed numbers.

This is not true

Fractions can be written as a mixed numbers.

Example:

5/2 = [tex]2\frac{1}{2}[/tex]

Ratios can never be written as a mixed number.

Thus,

The statements that are true are:

Fractions and ratios cannot have zero in the denominator.

Fractions and ratios can be simplified in the same way.

Fractions and ratios are different names for the same thing.

Options A, B, and C are correct.

Learn more about fractions here:

https://brainly.com/question/24370499

#SPJ2

Answer:

I am not sure on the first one but this is what I think:

False

False

True

Step-by-step explanation:

Sorry if it's wrong!!

Answer:

145%.

Step-by-step explanation:

Given that the price of an item yesterday was $120, and today, the price rose to $294, in order to find the percentage increase, the following calculation has to be made:

120 = 100

294 = X

((294 x 100) / 120) = X

29,400 / 120  = X

245 = X

245 - 100 = 145

Therefore, the percentage increase of the product was of 145%.

Answer:

Step-by-step explanation:

3³×6³×2³ = 3³×2³×6³ = (3×2)³×6³ = 6³×6³ = 6⁶

Answer:

4,000 and 40

Step-by-step explanation:

Answer:

4,201, 4 would be in the thousands place and the 4 in 65,143 would be in the tens place. So it would be 4,000 and 40.

Answer:

Step-by-step explanation:

Hi.

I can help.

First what we want to do is take what she had before spending any money and then take what she had after.

So :

$80.00

and

$56.13

Now to find how much she spent we can subtract these two numbers like so :

80.00 - 56.13

=

23.87

So now we know she spent a total of $23.87 on coffee in pounds.

Now if each pound of coffee costs $7.96 we can divide this into how much she spent $23.87 to find the total amount of pounds she bought for $7.96.

So:

23.87 / 7.96

=

About 3

She bought 3 pounds of coffee.

Hope this helps,

Have a great weekend

Answer:

Step-by-step explanation:

[tex]4(4)+4\sqrt{2}-4\sqrt{2}-\sqrt{2}\sqrt{2}=16-2=14[/tex]

Answer:

Should be 43

Step-by-step explanation:

There are only 43 bags that actually have buttons from the 3 numbers given.

Answer:

Step-by-step explanation:

We can solve this using a ratio. If there a 2 bottles of cherry in the ratio and there are 34 actual bottles of cherry, then the ratio is

[tex]\frac{ratio}{actual}:\frac{2}{34}[/tex]

In the ratio, we are told that the mix of bottles is 7 parts mango and we want to know how many actual bottles there are of mango. So filling in:

[tex]\frac{ratio}{actual} =\frac{2}{34} =\frac{7}{m}[/tex] and cross multiply to get

2m = 238 and

m = 119. There are 119 bottles of mango juice. And just for the record, there are 17 bottles of fruit juice.

Answer:

m = 119. There are 119 bottles of mango juice. there are 17 bottles of fruit juice.

Answer:

804

Step-by-step explanation:

multiply 402 by 2

12÷2=6

6=402miles

402×2=804

#gamer

Answer:

15n

Step-by-step explanation:

Since it is 15 samples per day, you just need to multiple 15 by the number of days.

Answer:

Step-by-step explanation:

f(x) + g(x) = x^2 - 2x + x + 12

f(x) + g(x) = x^2 - x + 12

(f + g)( -1) = 1 + 1 + 12 = 14

f(x) - g(x) = x^2 - 2x - x - 12

f(x) - g(x) = x^2 - 3x - 12

(f + g)(-1) = (-1)^2 -(3)(-1) -12

(f + g)(-1) = 1 + 3 - 12

(f + g)(-1) = - 8

Answer:

hope it helps you (:

Step-by-step explanation:

Graphing an inequality on a number line, is very similar to graphing a number. For instance, look at the top number line x = 3. We just put a little dot where the '3' is, right?

Now an inequality uses a greater than, less than symbol, and all that we have to do to graph an inequality is find the the number, '3' in this case and color in everything above or below it.

Just remember

if the symbol is (≥ or ≤) then you fill in the dot, like the top two examples in the graph below

if the symbol is (> or <) then you do not fill in the dot like the bottom two examples in the graph below

To better understand how to graph inequalities, look at the examples below or experiment with the grapher that is immediately below.

Answer:

34% of 480=34/100×480=163.2

3 1/2 of 480=7/2×480=1680

Answer:

9h + 1

Step-by-step explanation:

36h + 4 divided by 4 is 9h + 1

Answer:

the answer is 2616

hope this helped

Step-by-step explanation:

Answer:

c) Percentages

Step-by-step explanation:

Percentages can be used to compare changes from one period to another.

In calculating a percentage change, either a percentage increase or percentage decrease, we must have both the new and old measurement of the specific quantity.

For example, let's find percentage increase of the number of students that joined a book club using the parameters below;

Original number of students = 32

New number of students = 36

We will calculate the increase using;

[tex] Increase = original \; number - new \; number [/tex]

Substituting the values, we have;

Increase = 36 - 32 = 4

[tex] Percentage \; increase = \frac{increase}{original \; number} * 100[/tex]

[tex] Percentage \; increase = \frac{4}{32} * 100[/tex]

[tex] Percentage \; increase = 0.125 * 100[/tex]

Percentage increase = 12.5%

Therefore, the number of students in the school club increased by 12.5%.

Step-by-step explanation:

step 1. 15n + 75v = 330, n - v = 2.

step 2. This is a system. solve the system.

step 3. multiply the 2nd equation by 15 and subtract from the 1st equation.

step 4. 90v = 300. v = 10/3

step 5. n - 10/3 = 2. n = 16/3.

step 6. new = 10/3, vintage = 16/3.

step 7. either they sell games in thirds or the question has a mistake.

Answer:

f(x) = -0.5x - 2;

At x = 0, f(x) = -2

At x = 1, f(x) = -2.5

At x = 2, f(x) = -3

At x = 3, f(x) = -3.5

At x = 4, f(x) = -4

g(x) = (2^(x - 1)) - 5;

At x = 0, g(x) = -4.5

At x = 1, g(x) = -4

At x = 2, g(x) = -3

At x = 3, g(x) = -1

At x = 4, g(x) = 3

Step-by-step explanation:

First equation;

f(x) = -0.5x - 2

f(0) = -0.5(0) - 2 = -2

f(1) = -0.5(1) - 2 = -2.5

f(2) = -0.5(2) - 2 = -3

f(3) = -0.5(3) - 2 = -3.5

f(4) = -0.5(4) - 2 = -4

For the second equation;

g(x) = (2^(x - 1)) - 5

g(0) = (2^(0 - 1)) - 5 = 2^(-1) - 5 = -4.5

g(1) = (2^(1 - 1)) - 5 = 2^(0) - 5 = -4

g(2) = (2^(2 - 1)) - 5 = 2 - 5 = -3

g(3) = (2^(3 - 1)) - 5 = 4 - 5 = -1

g(4) = (2^(4 - 1)) - 5 = 3

Answer:

x-11=12

x=23

Step-by-step explanation:

Answer:

x-11=12

Step-by-step explanation:

also: 12=11+x

Answer:

10% or 1/10 chance

Step-by-step explanation:

The chances of playing a country song first try is 15/150 or 1/10. There is a 10% chance of playing a country song on the first try.

9514 1404 393

Answer:

  18 miles

Step-by-step explanation:

The map distance and ground distance are proportional.

  (distance to school)/(3 in) = (12 miles)/(2 in)

Multiplying by 3 in gives ...

  distance to school = (12 miles)(3/2) = 18 miles

Answer:

m < 4 = 120

Step-by-step explanation:

When two anlges are supplementary, their angle measures add up to 180, apply this knowledge here;

m<3 + m<4 = 180

60 + m<4 = 180

m<4 = 120

Answer:

120

Step-by-step explanation:

m<3 is 60 and 180-60=120

Answer: -3

Step-by-step explanation:

To find the slope, you can use the formula (y2-y1)/(x2-x1)

-----------------------------------------------------------------------------------------

Given

x1=-2

y1=-19

x2=-12

y2=11

Substitute values into the formula

 (y2-y1)/(x2-x1)

=[(11)-(-19)]/[(-12)-(-2)]

=(11+19)/(-12+2)

=30/-10

=-3

Hope this helps!! :)

Please let me know if you have any questions

Answer:

When rolling di.e #2, since we must roll a different odd number, the probability of doing so is 2/6 = 1/3. Thus, the probability is 1/2 x 1/3 = 1/6.