Draw the region that satisfies all three of the inequalities;
x < 3, y > 2, y < 2x+3​

Answer:

10 5/6

Step-by-step explanation:

First we have to make 2 1/6 into an improper fraction. This can be rewritten as 13/6. Now, we can multiply 13 by 5 and get 65/6. If we re-convert this into a mixed number, 6 goes into 65 10 times with a remainder of 5, so the final answer is 10 5/6.

Answer:

4

Step-by-step explanation:

Answer: 3 is the answer for all of them

Step-by-step explanation:

GCF = 3

for the values 15, 42, 45

Solution by Factorization:

The factors of 15 are: 1, 3, 5, 15

The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42

The factors of 45 are: 1, 3, 5, 9, 15, 45

Then the greatest common factor is 3.

You can also find the GCF using

Prime Factorization or Euclid's Algorithm.

The completed relative frequency table is given by the image shown at the end of the answer.

First we look at the row total of people who like to fly, which is of 70%, hence:

Amount those who can drive, we have that:

Amount those who cannot drive, we have that:

Thus the total frequency of the second row is given as follows:

0.17 + 0.13 = 0.30.

The table is given by the image shown at the end of the answer. I don't know if the values are the same but you will have to follow the same procedure to obtain the missing values.

More can be learned about relative frequency at https://brainly.com/question/1809498

#SPJ1

Answer:

I took the test

the answer is in the image below

Step-by-step explanation:

The height of the cylinder is 4 feet.

The volume of a cylinder can be found as follows;

volume of a cylinder = base area × height

Therefore,

base area = πr²

volume of the cylinder = 48π ft³

base area = 12π ft²

Therefore, let's find the height of the cylinder as follows:

48π = 12π × h

divide both sides of the equation by 12π

h = 48π / 12π

h = 4 ft

Therefore,

height of the cylinder  = 4 feet

learn more on volume here: https://brainly.com/question/28512386

#SPJ1

The corresponding congruent angles are ∠DKH and ∠ENH. The correct option is B.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Corresponding angles are angles that are equal in size and occur on the same side of the transversal line. They're either both obtuse or acute.

Here the two corresponding angles are ∠DKH and ∠ENH joining the two lines JD and IE.

To know more about coordinate geometry follow

https://brainly.com/question/19235831

#SPJ1

Answer:

the first set

Step-by-step explanation:

y = 8x − 2

to see which of the following represent the right input and out put substitute the amount of x in the equation and see it you get the same output .

x        y=8x-2              y

0       8(0)-2               -2

1         8(1)-2               6

2        8(2)-2              14

The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation by the mean, and then multiplying by 100 to express it as a percentage.

In this case, the mean weight is 340 grams, and the standard deviation is 5.2 grams.

CV = (Standard Deviation / Mean) * 100

CV = (5.2 / 340) * 100

CV ≈ 1.53%

Therefore, the correct answer is option B: 1.53%.

To know more about Mean visit-

brainly.com/question/26062194

#SPJ11

Answer:

43, it raises by 4 each time. good luck!

Step-by-step explanation:

Subtract 11b^2 - 4b + 7 from b^2 + 8b - 9 ?​

That is

Collecting like terms we have

Hence the result of the subtraction is

7 is an outlier.

Data:

7, 58, 62, 68, 65, 86, 72, 76, 74

Let us rearrange the data

7, 58, 62, 65, 68, 72, 74, 76, 86

To know if a number is an outlier, it is usually either:

1. Lower Outlier Threshold = Less than Q1 + 1.5 x IQR

2. Higher Outlier Threshold = Greater than Q3 - 1.5 x IQR

where IQR is the interquartile range

Q1 is the First Quartile

Q3 is the Third Quartile.

Now we have to find Q1, Q3, and IQR.

The formulas are given below:

n = 9 (according to the question)

Thus, with these formulas, we can find the Q1, Q3, and IQR

Therefore, the first Quartile Q1 is in the third position in the arranged data:

7, 58, 62, 65, 68, 72, 74, 76, 86

Q1 = 62.

Now we solve for Q3:

Therefore, the third Quartile Q3, is in the 8th position in the arranged data:

7, 58, 62, 65, 68, 72, 74, 76, 86

Q3 = 76

Now, we can calculate IQR as:

Q3 - Q1 = 76 - 62 = 14

Thus, IQR = 14

Now we can test which values are outliers.

We have a value of 7 which is much lower than the Lower Outlier threshold value.

Thus 7 is an outlier.

Now let us check for the HIgher Outlier:

We have no value from the dataset that is greater than 97, thus there is no upper outlier

Therefore, the final answer is = 7

It is =3.14159265359 :)

Answer:

Substitution (See Below)

Step-by-step explanation:

y = 4 (x) -9

y = 4(3) -9

y = 12 - 9

y = 3

(3, 3)

Answer:

X = 4

Step-by-step explanation:

First you subtract X from both sides of the equation and then simplify, then divide both sides of the equation by the same term then Simplify one more time.

Answer:

faluse

Step-by-step explanation:

Answer:

PEMDAS

Step-by-step explanation:

P=Parenthesis

E=Exponent

M=Multiply

D=Division

A=Addition

S=Subtract

The first step you should perform is the exponent 3 of base 8.

BODMAS rule is the rule used when solving expressions involving more than one operations.

It is the abbreviation of Brackets, Order, Division, Multiplication, Addition, Subtraction, which is the order of the operations to be done.

The given expression is 8³ - 10 × 5 - 4.

We know the rule of BODMAS.

since the given expression includes more than one operations, we have to follow the rule of BODMAS.

There are no brackets in the expression.

There is a power of 3 for the base 8.

We should perform that in the first step.

8³ - 10 × 5 - 4 = 512 - 10 × 5 - 4

Next we do the operation of multiplication.

512 - 10 × 5 - 4 = 512 - 50 - 4

There is subtraction.

512 - 50 - 4 = 566

Hence the operation of the power is done first.

Learn more about BODMAS here :

https://brainly.com/question/16738857

#SPJ2

The central angle of the sector with a radius of 5 cm and an area of 5π cm² is 72 degrees.

To find the central angle of a sector, we need to use the formula that relates the sector area to the central angle and the radius of the circle. The formula for the area of a sector is:

Area = (θ/360) * π * r^2

Where:

Area is the sector area

θ is the central angle in degrees

π is a mathematical constant (pi)

r is the radius of the circle

In this case, we are given the radius of the circle as 5 cm and the sector area as 5π cm². Let's substitute these values into the formula and solve for θ.

5π = (θ/360) * π * 5^2

Simplifying the equation:

5π = (θ/360) * 25π

To eliminate π, we can divide both sides of the equation by π:

5 = (θ/360) * 25

Now, let's isolate θ by multiplying both sides of the equation by (360/25):

5 * (360/25) = θ

Simplifying the equation:

θ = 72

Therefore, the central angle of the sector is 72 degrees.

For more question on angle visit:

https://brainly.com/question/31615777

#SPJ8

Answer: A postulate is a statement that is assumed true without proof. A theorem is a true statement that can be proven.

Step-by-step explanation:

Hope this helps you! :) have an amazing day! ^-^

Volume = base area x height

Base area = Length x width = 10 x 8 = 80 in2

Volume = 80 in2 x 6 in = 480 cubic inches

Answer:

4.5 is the value of A

Step-by-step explanation:

do it doing part/whole and cross crossing :)

32/100 because it’s a percentage and 1.12/x. 1.12 times 100 to get 112, and then 32 times x = 32x. your equation right now is 32x = 112, bur we want to get rid of that x, so we are going to divide 112/32 to get the whole of 3.5 for the value of A.

Answer:

a. x = 1.2, b. A = 32.1°

Step-by-step explanation:

1.41²-.75²=x²

a. x = 1.2

sin A = 0.75/1.41

b. A = 32.1°

The power of a statistical test of hypotheses is the probability that the test will reject the null hypothesis when a particular alternative value of the parameter is true.

It is the ability of the statistical test to detect a true difference between groups, or a true relationship between variables, when it exists. A high power indicates that the test has a low probability of making a type II error (failing to reject a false null hypothesis).

The power of a test is affected by various factors such as the sample size, level of significance, effect size, and variability of the data.

Learn more about statistical test

https://brainly.com/question/14128303

#SPJ4

It is not equal to 1 - (P-value), nor is it the smallest significance level at which the data will allow you to reject the null hypothesis or the probability that the test will reject both one-sided and two-sided hypotheses.

The correct answer is: The power of a statistical test of hypotheses is the probability that a significance test will reject the null hypothesis when a particular alternative value of the parameter is true. It is the ability of the test to detect a true difference or effect between two groups or conditions. The power is influenced by factors such as the sample size, effect size, and significance level, and is usually calculated before conducting a study to ensure that it has sufficient power to detect meaningful differences. It is not equal to 1 - (P-value), nor is it the smallest significance level at which the data will allow you to reject the null hypothesis or the probability that the test will reject both one-sided and two-sided hypotheses.

learn more about statistical test

https://brainly.com/question/14128303

#SPJ11

Answer:

x=0 & x=2

Step-by-step explanation:

To find when f(x)=g(x), then look for a value that is the same for both functions in the table. 0 occurs twice for the same x value. 0 also appear twice for the x value 2. This is when they are equal. The solution is x=0 and x=2

I got ECHA... hope it's right:)

The profit received on each monitor is $193.25. The rate of markup on the selling price of each monitor is 26.53%. The rate of markup on the cost of each monitor is 41.53%.

a) Profit is calculated as follows:

\(\[Sales - \text{cost} - \text{expenses} = \text{profit}\]\)

Sales per unit is given as $728.

Cost per unit is given as $465.

Expenses as a percentage of the cost per unit is given as 15%.

Expenses are calculated as follows:

\(\[\text{Expenses} = \frac{15}{100} \times \$465 = \$69.75\]\)

Therefore, the profit per unit of monitors can be calculated as follows:

\(\[\text{Profit} = \$728 - \$465 - \$69.75 = \$193.25\]\)

Therefore, the profit the company is receiving on each monitor is $193.25.

b) The rate of markup on the selling price is given as follows:

\(\[\text{Rate of markup on selling price} = \frac{\text{Profit}}{\text{Selling price}} \times 100\%\]\)

Profit per unit is $193.25.

Selling price per unit is $728.

Therefore, the rate of markup on the selling price of each monitor is calculated as follows:

\(\[= \frac{193.25}{728} \times 100\% = 26.53\%\]\)

c) The rate of markup on the cost is given as follows:

\(\[\text{Rate of markup on cost} = \frac{\text{Profit}}{\text{Cost}} \times 100\%\]\)

Profit per unit is $193.25.

Cost per unit is $465.

Therefore, the rate of markup on the cost of each monitor can be calculated as follows:

\(\[= \frac{193.25}{465} \times 100\% = 41.53\%\]\)

Thus, the profit received on each monitor is $193.25. The rate of markup on the selling price of each monitor is 26.53%. The rate of markup on the cost of each monitor is 41.53%.

To know more about profit, click here

https://brainly.com/question/32864864

#SPJ11

Answer:

Step-by-step explanation:

P = 2( L + W)

To solve for L first divide both sides by 2

That's

\( \frac{P}{2} = L + W\)

Move W to the other side of the equation to make L stand alone

We have the final answer as

\(L = \frac{P}{2} - W \\ \)

Hope this helps you

The change in radius is supposed to be 2.04 units to get 800 as volume.

To calculate the volume of a cylinder, we use the formula V = πr^2h, where V represents the volume, r represents the radius, and h represents the height.

Given that the height is fixed at 10 units, and the volume is desired to be 800 cubic units, we can rearrange the formula to solve for the radius:

V = πr^2h

800 = πr^2(10)

To isolate the radius, we divide both sides of the equation by π * h * 10:

800 / (π * 10) = r²

Simplifying further:

80 / π = r²

To find the value of the radius, we take the square root of both sides:

√(80 / π) = r

Using a calculator to approximate the square root of 80 divided by π, we find:

r ≈ 5.04

Therefore, to achieve a volume of 800 cubic units while keeping the height at 10 units, the radius would need to be approximately 5.04 units.

And change would be 5.04-3 = 2.04.

Learn more about Volume here:

https://brainly.com/question/1578538

#SPJ1

Answer:

(4 , 8)

Step-by-step explanation:

translation: -2 , 3       (-6 , -7) -> (-8 , -4)

Reflection y = -x:        (-8 , -4) -> (4 , 8)