Why is a midpoint necessary for a perpendicular bisector?

Answer:

Step-by-step explanation:

Rap music is generally more popular with young blacks than young whites, during the 80s-90s when rap was becoming more popular with artists such as 2pac, BIG, Dr. Dre, etc they were more popular among young blacks than whites

Answer:

Step-by-step explanation:

21) \(\frac{(15x+10)-115}{2}=30\\15x-105=60\\15x=165\\x=11\)

22) \(\frac{151-81}{2}=x+35\\35=x+35\\x=0\)

The y-intercept of the graph of the equation is y = -9.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given equation as:

y = 6 (x - 1/2)(x+3)

To determine the y-intercept of the graph of the equation

Substitute the value x = 0 in the equation,

y = 6 (0 - 1/2)(0+3)

Apply the arithmetic operation and solve for y

y = -9

Hence,  the y-intercept of the graph of the equation is y = -9.

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The null hypothesis for testing the effectiveness of a pest control method in allowing strawberry blooms to yield marketable strawberries is that the proportion of all blooms grown (i.e., 0.67).

The null hypothesis is a statistical hypothesis that assumes there is no significant difference or relationship between two or more variables or populations being studied.

The null hypothesis is a statement of no effect or no difference. In this case, the null hypothesis is that the proportion of all blooms grown with the pest control method that yield marketable strawberries is equal to or less than two-thirds (i.e., 0.67).

Therefore, the null hypothesis can be stated as follows:

H0: p ≤ 0.67

Where p represents the population proportion of blooms that yield marketable strawberries.

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Answer:

the answer is 203463 I hope this will help you :)

Step-by-step explanation:

Step-by-step explanation:

4m+2g=p

2g=p-4m

g=(p-4m)/2

Answer:

g = p/2 - 2m

Step-by-step explanation:

4m +2g = p

Subtract 4m from each side

4m -4m +2g = p-4m

2g = p -4m

Divide each side by 2

2g/2 = p/2 - 4m/2

g = p/2 - 2m

Answer:

6n-5=43

   +5 +5

6n=48

/6    /6

n=8

Step-by-step explanation:

i hope this helps :)

A trade of securities between a bank and an insurance company without using the services of a broker-dealer would take place on the over-the-counter (OTC) market, also known as the fourth market.

The first market refers to the primary market, where newly issued securities are bought and sold directly between the issuer and investors. This market is typically used for initial public offerings (IPOs) and the issuance of new securities.

The second market refers to the organized exchange market, such as the New York Stock Exchange (NYSE) or NASDAQ, where securities are traded on a centralized platform. This market involves the buying and selling of already issued securities among investors.

The third market refers to the trading of exchange-listed securities on the over-the-counter market, where securities that are listed on an exchange can also be traded off-exchange. This market allows for direct trading between institutions, such as banks and insurance companies, without the involvement of a broker-dealer.

Therefore, in the scenario described, the trade of securities between the bank and insurance company would take place on the fourth market, which is the over-the-counter market.

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verifying, by putting \( \theta=60^{\circ}\)

LHS≠RHS

hence the question is FALSE

Answer:

Y=32

Step-by-step explanation:

Answer:

Yes, its a function

Step-by-step explanation:

Answer: x=2.500

Step-by-step explanation:

5=2x

Divide by two on both sides

2.500=x

Sure, let's calculate the percentage difference in viewing area between your 55 inch widescreen TV and your brother's 65 inch widescreen TV, based on the diagonal measurement.

The viewing area of a TV is calculated based on its diagonal measurement and aspect ratio. Most widescreen TVs have an aspect ratio of 16:9. Therefore, we can use the formula for the area of a rectangle, which is length times width. However, since we have the diagonal and the aspect ratio, we can use these to calculate the length and width.

Let's calculate the areas of both TVs and then find the percentage difference.

The calculation shows that your TV has approximately -28.4% more viewing area than your brother's. However, since the percentage is negative, it means that your TV actually has about 28.4% less viewing area than your brother's 65-inch TV.

Answer:

because 3 spheres is inside the cylinder and they are placed close together

=> The height of the cylinder is 3 times the diameter

=> the height is 18cm

the volume of the cylinder is 3,14.18.(6/2)² = 508,68

because 3 spheres have the same diameter

=> the volume of 3 spheres is 4.3,14.3³ = 339,12

=> the volume of the cylinder that is left empty is 508,68 - 339,12 = 169,56

Step-by-step explanation:

Answer:

The answer is 508,68

Step-by-step explanation:

Since the volume of the cylinder is equal to the area of the permanent base multiplied in the height

Since the radius of the base is equal to 3 and since the area of its cylinder is equal to

\(314 \times 3 \times 3 = 28.26\)

When the height equal to 18

Then the volume equal to

\(28.26 \times 18 = 508.68\)

Answer:

Percentage increase = 269%

Step-by-step explanation:

Price of a DVD last week = $2.87

Price of the same DVD this week = $10.59

Increase in the price of DVD between last week and this week = 10.59 - 2.87

= $7.72

Therefore, percentage increase in the price of DVD = \(\frac{\text{Increase in the price}}{\text{Price of DVD last week}}\times 100\)

= \(\frac{7.72}{2.87}\times 100\)

= 268.99

= 269%

this is 90 60 30 formula for example

90 meet 2x

30 meet x

and

60 meet x√3

so 90 meet 5

30 meet 5/2=2.5

and 60 meet 2.5√3

so the answer is 2.5

Answer:

2.5

Step-by-step explanation:

\(\sin 30\degree = \frac{x}{5}\\\therefore x = 5\sin 30\degree\\\therefore x = 5 \times \frac{1}{2}\\\therefore x = 2.5\)

The four consecutive odd integers are -11, -9, -7, and -5.

Let's define the consecutive odd integers and set up an equation using the given conditions:
Let the four consecutive odd integers be:
x, x+2, x+4, x+6

The problem states that 5 times the sum of the first two is 5 less than 19 times the fourth:
5(x + (x+2)) = 19(x+6) - 5
Now, let's solve for x step-by-step:
Distribute the 5 and 19:
5(2x + 2) = 19x + 114 - 5
Simplify further:
10x + 10 = 19x + 109
Move all terms with x to one side by subtracting 10x from both sides:
10 = 9x + 109

Subtract 109 from both sides:
-99 = 9x
Divide by 9:
x = -11
Now that we have x, we can find the consecutive odd integers:
-11, -9, -7, -5.

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Answer:

3x + y = 21

x = 2.5

7.5 + y = 21

y = 13.5

shirt cost $13.50

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

2/7+sqrt121 is just 2/7+11.

This is rational.

Answer:

2/7 + sqrt 121

Step-by-step explanation:

the square root of 121 is a whole number - 11, which is rational and makes the equation rational

To determine p-values for hypothesis tests, you must consider the form of both the alternative and null hypotheses, the degree of freedom, and the test statistic as an inequality.

To determine the p-values of hypothesis tests, the following factors need to be taken into account:

1. The form of the alternative hypothesis: The alternative hypothesis determines the type of test (one-tailed or two-tailed) and helps identify the critical region where the test statistic would lead to rejection of the null hypothesis.

2. The form of the null hypothesis: The null hypothesis establishes a baseline for comparison and sets the assumption to be tested.

3. The degree of freedom of the point estimate: The degree of freedom affects the shape of the sampling distribution, which is essential for calculating the p-value.

4. The test statistic as an inequality: The test statistic helps us determine the position of our observed data relative to the null hypothesis. The inequality in the test statistic provides information on whether to reject or fail to reject the null hypothesis based on the p-value.

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The quantity of more flour that she needs to add would be = 3/4

A fraction is defined as the representation of the part of a whole data in a form of numerator and denominator.

The quantity of flour Ryan needs for baking = 3¼

The quantity of flour she has already added = 2½

The remaining amount that she needs to add;

= 3¼-2½

= 3/4

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Chantal's careful measurements and consideration of the bungee cord's length, stretching capacity, and brake anchor placement contribute to a safe and enjoyable bungee jumping experience.

Chantal's decision to measure 16 feet away from the base of the tree is due to the length of the bungee cord being 16 feet long. She wants to ensure that the cord is fully stretched when in use, providing the proper tension and safety during the activity.

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She will need to plant flowers for a total length of 90 feet to cover the entire outside border of her backyard.

Perimeter is the distance around the edge of a two-dimensional shape, such as a square, rectangle, or circle. It is the sum of the lengths of all the sides of the shape.

To calculate the length of the outside border of Joan's backyard, we need to find the perimeter of the rectangle. The lengths of all four sides are added to determine the perimeter.

The length of Joan's backyard is given as 30 feet and the width is given as 15 feet. Therefore, the two sides parallel to the length of the backyard are each 30 feet long, and the two sides parallel to the width are each 15 feet long.

The lengths of all four sides are added up to determine the perimeter:

Perimeter = 30 + 30 + 15 + 15 = 90 feet

This means that the length of the border that Joan wants to cover with flowers is 90 feet. So she will need to plant flowers for a total length of 90 feet to cover the entire outside border of her backyard.

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The selection chances and the required probability for 9 women and 6 men is given by ,

Different groups of applicants selection = 3003

Selection of trainee entirely of women = 126

Probability of selection of entirely women from 15 people = 4.19%

Total number of women = 9

Total number of men = 6

Total = 9 + 6

        = 15

The total number of groups of applicants that can be selected for the positions can be calculated using the combination formula,

nCr = n! / r!(n-r)!

where n is the total number of applicants (15),

And r is the number of positions to be filled (5).

Number of different groups of applicants that can be selected for the positions is,

15C5

= (15! )/(15-5)!5!

=(15! )/(10)!5!

= 3003

Number of different groups of trainees that consist entirely of women can be calculated by selecting 5 women from the 9 available,

9C5

= (9! )/(9-5)!5!

=(9! )/(4)!5!

= 126

Probability of selecting a group of five trainees ,

Consist entirely of women can be calculated by dividing the number of different groups of all-women trainees (126) by the total number of different groups of trainees (3003),

Required probability

= 126/3003

≈ 0.0419

Probability that the trainee class will consist entirely of women is approximately 0.0419, or 4.19% (rounded to four decimal places).

Therefore, for a group of 15 people,

Selection of different groups of people = 3003

Selection of trainee represents entirely women =126

probability of selecting entirely women = 4.19%

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Answer:

(-9, 8)

Step-by-step explanation:

(14, -1) >> (x1, y1)

(5, 7) >> (x2, y2)

(y2 - y1)           7 - (-1) = 8

----------- >>>

(x2 - x1)           5 - 14 = -9

x always goes first in a coordinate, so

(-9, 8)

Hope this helped ;)

Answer:

6×10^5=600000

6×10^1=60

600000/60=10000

Answer:

22-5n

Step-by-step explanation:

Answer:25(20)+10(10)=600

X Y

Step-by-step explanation: sell 20 (X) Large candles and sell 10 (Y) small candles

Answer:

Volume of B is 360 \(cm^{3}\)

Step-by-step explanation:

It can be observed in the question that the dimensions of cylinder B are twice the dimensions of cylinder A, since both are similar.

Height of B = 2 x height of A

                   = 2 x 5

                   = 10 cm

cross sectional area of B = 2 x cross sectional area of A

                            = 2 x 18

                             = 36 \(cm^{2}\)

Thus,

Volume of B = cross sectional area x height

                     = 36 x 10

                     = 360 \(cm^{3}\)

Volume of B is 360 \(cm^{3}\).