Draw the line and write an equation.
Line where the slope is 0, y-intercept is 5.
Complete the equation below
y=
Use x as your variable.

Answer:

14

Step-by-step explanation:

B is the midpoint of AC, in other words it is the halfway point.

So A to B should be equal to B to C

Our expression is:

2x + 9 = 37

Subtract 9

2x = 28

Divide by 2

x = 14

Answer:

Yes, if two random vectors are independent, then after a same transformation they are still independent. This is a consequence of the fact that the transformation of independent random variables does not affect their independence.

To understand this, suppose we have two independent random vectors X and Y, and a transformation function f(.).

If we apply the same transformation f(.) to both X and Y to get f(X) and f(Y), then the independence between X and Y will still hold in the transformed variables f(X) and f(Y).

This is because the transformation f(.) does not introduce any new relationship between the variables, it simply changes their scale or shape. As a result, if X and Y are independent, then f(X) and f(Y) will also be independent.

To know more about random variables refer here

https://brainly.com/question/17238189#

#SPJ11

Approximately 68% of the cases in a normal distribution are between 0.5 standard deviations above and below the mean.

To find the percentage of cases that are between 0.5 standard deviations above and below the mean, we can add these two probabilities:

34% + 34% = 68%

The normal distribution, also known as the Gaussian distribution or the bell curve, is a probability distribution that is widely used in statistics, science, and engineering. A bell-shaped curve that is symmetrical around the mean value best describes the distribution. The distribution's mean, median, and mode are all equal, and the standard deviation defines the curve's width.

Height, weight, IQ, and measurement mistakes are only a few examples of the numerous random variables and natural phenomena that follow the normal distribution. In addition, the central limit theorem predicts that regardless of the underlying distribution of the variables themselves, the total or average of several independent random variables with similar distributions will converge to a normal distribution. Because of this characteristic, the normal distribution is a key idea in inferential statistics and hypothesis testing.

To learn more about Normal distribution visit here:

brainly.com/question/29509087

#SPJ4

Complete Question:-

What percentage of cases in a normal distribution are between 0.5 standard deviations above and below the mean? Give one percentage.

Answer:

3.5in^2

Step-by-step explanation:

Quadratic formula using Lin's theory.

Answer:

use the quadratic formula

Step-by-step explanation:

Answer:0.375

Step-by-step explanation:

3/4=0.75

0.75/2=0.375

(3/4)/2=0.375

The point estimator of the population proportion p is denoted by p-bar.

In statistics, the point estimator is a statistic used to estimate the value of an unknown parameter of a population. When the parameter of interest is a proportion, the point estimator of that parameter is the sample proportion, also known as p-hat. In contrast, the point estimator of the population proportion, denoted as p-bar, is calculated by taking the average of all sample proportions.

The formula for p-bar is as follows:

p-bar = (p1 + p2 + ... + pk)/k

where p1, p2, ..., pk are the sample proportions taken from k different samples.

To calculate p-bar, we need to collect multiple samples from the population of interest and then calculate the sample proportion for each individual sample. After that, we can calculate p-bar by taking the average of all sample proportions.

However, it's important to note that the accuracy of p-bar depends on the sample size, the number of samples, and the sampling method used. Therefore, p-bar should be used along with a confidence interval to estimate the true population proportion.

To know more about point estimation, refer here:

https://brainly.com/question/17514579#

#SPJ11

Answer:

looks like 2

Step-by-step explanation:

Points where two lines cross are solutions they share

Answer:

here is three: 3:1, 12:4, 18,6

Step-by-step explanation:

Answer:

\(\boxed{12}\)

Step-by-step explanation:

\(6/\frac{1}{2} =6*2=12\)

Answer:

141.421356237

Let's denote the increase in both the radius and the height of the cylinders as 'x' inches.

The volume of a cylinder can be calculated using the formula V = πr²h, where V is the volume, r is the radius, and h is the height.

For the first cylinder (with original radius 8 inches and height 3 inches), the volume is given by V₁ = π(8)²(3) = 192π cubic inches.

For the second cylinder (with increased radius and height), the volume is given by V₂ = π(8 + x)²(3 + x).

Given that the resulting volumes are equal, we can set up the following equation:

V₁ = V₂

192π = π(8 + x)²(3 + x)

Canceling out the π from both sides, we have:

192 = (8 + x)²(3 + x)

Expanding the equation:

192 = (64 + 16x + x²)(3 + x)

192 = 192 + 48x + 16x² + 3x + x²

0 = 16x² + 51x

Simplifying the quadratic equation:

16x² + 51x = 0

x(16x + 51) = 0

Setting each factor equal to zero:

x = 0 (nonzero number of inches)

16x + 51 = 0

16x = -51

x = -51/16

Since we're looking for a nonzero increase, the increase is x = -51/16 inches.

Note: It's important to check the validity of the negative value for 'x' since it represents an increase. In this case, the negative value implies a decrease rather than an increase. Therefore, the increase in both the radius and the height is 0 inches.

To know more about volume of a cylinder refer here

https://brainly.com/question/15891031#

#SPJ11

The measure of angle ZCBD is 90°. Therefore, the correct option is J. 90.

To find the measure of angle ZCBD, we need to examine the given information.

From the figure, we know that angle CDE is 155°.

Since the opposite angles of a rectangle are congruent, angle BCD is also 155°.

In a rectangle, the sum of the interior angles at a vertex is always 90°.

Therefore, angle CBD is 90°.

Hence, the measure of angle ZCBD is 90°.

Therefore, the correct option is J. 90.

for such more question on measure of angle

https://brainly.com/question/25716982

#SPJ8

A cyclic quadrilateral is a quadrilateral inscribed in a circle

The measure of angle A is 106

From the question, we have:

<C= 74

Opposite angles of a cyclic quadrilateral add up to 180.

So, we have:

<A + <C = 180

This gives

<A + 74 =180

Subtract 74 from both sides

<A =106

Hence, the measure of angle A is 106

Read more about cyclic quadrilaterals at:

https://brainly.com/question/26168678

When a scatterplot is created from a table of values, the statement that is correct is A.It is possible for two points to have the same x-coordinate and the same y-coordinate.

Scatter plots in mathematics can be considered as the graphs that helps in the establishment of the relationship between two variables in a data-set.

It shoud be noted that this represents data points which can be represented on the two-dimensional plane or on a Cartesian system however there are two variables whereby the independent variable or attribute is plotted on the X-axis,  and the other is plotted on the Y-axis.

Learn more about scatterplot at:

https://brainly.com/question/6592115

#SPJ1

Answer: its Square but the top one is rectangle

Given:

Guests at an amusement park must be at least 54 inches tall to be able to ride the roller coaster.

To find:

The graph that represents the set of heights that satisfy this requirement.

Solution:

Let x be the height required for the ride.

Guests must be at least 54 inches tall to be able to ride the roller coaster. It means required height is greater than or equal to 54.

\(x\geq 54\)

So, 54 and all values above 54 are in the solution set.

Since, 54 is included in the solution set, therefore there is a closed circle at 54. All values above 54 are in the solution set, so everything to the right of the circle is shaded.

Therefore, the correct option is C.

Answer:

c

Step-by-step explanation:

The probability of drawing a white ball on the second draw, without replacing the first ball, is 8/13.

To solve this problem, we need to use conditional probability.

The probability of drawing a white ball on the first draw is 8/13 (since there are 8 white balls and 13 total balls in the urn).

If a white ball is drawn on the first draw, then there will be 7 white balls and 5 black balls left in the urn. So the probability of drawing a white ball on the second draw, given that a white ball was drawn on the first draw, is 7/12.

If a black ball is drawn on the first draw, then there will be 8 white balls and 4 black balls left in the urn. So the probability of drawing a white ball on the second draw, given that a black ball was drawn on the first draw, is 8/12.

Now we can use the law of total probability to find the overall probability of drawing a white ball on the second draw:

P(white on second draw) = P(white on first draw) * P(white on second draw | white on first draw) + P(black on first draw) * P(white on second draw | black on first draw)
= (8/13) * (7/12) + (5/13) * (8/12)
= 56/156 + 40/156
= 96/156
= 8/13

Therefore, the probability of drawing a white ball on the second draw, without replacing the first ball, is 8/13.

To know more about conditional probability, visit:

https://brainly.com/question/30262438

#SPJ11

a. The perimeter of the first triangle is and the perimeter of the second triangle is

b. The difference between the perimeters is

c The perimeter of the triangles when x is 3 are

Perimeter is a math concept that measures the total length around the outside of a shape.

The perimeter of a triangle = a+b+c

1. 4x+2 + 7x+7 + x+3

= 4x+7x+ x +2+7+3

= 12x +12

Perimeter of the second triangle

= 2x-5+x+7+5x-4

= 2x+5x+x-5+7-4

= 8x-2

2. The difference of the perimeters

= 12x+12 -( 8x-2)

= 12x-8x +12+2

= 4x +14

3. when x is 3

The perimeter of the first triangle

= 12(3) +12

= 36+12

= 48 units

The perimeter of the second triangle

= 8(3)- 2

= 22 units

learn more about perimeter of rectangle from

https://brainly.com/question/24382052

#SPJ1

Answer:

£3,774

Step-by-step explanation:

629 students at a school each pay £6 to go on a school trip. How much money do they pay in total?

629 * £6 = £3,774

Answer:

no of students= 629

amount paid each =£6

amount paid by all the students =no of students × amount paid each

:: 629

× 6

£3774

Answer:

Step-by-step explanation:

25, i think

Answer:

p= 8250

r=7.25

t= 3 years

p×r×t

figure out the rest

a. The number of passengers for each cruise line in thousands:

4,133,000 passengers ÷ 1,000 = 4,133 passengers

2,369,000 passengers ÷ 1,000 = 2,369 passengers

1,295,000 passengers ÷ 1,000 = 1,295 passengers

928,000 passengers ÷ 1,000 = 928 passengers

679,000 passengers ÷ 1,000 = 679 passengers

So, the answer is 4,133; 2,369; 1,295; 928; 679.

b. The mean number of passengers can be found by adding the number of passengers for each cruise line and then dividing the total by the number of cruise lines, which is 5.

(4,133 + 2,369 + 1,295 + 928 + 679) ÷ 5 = 10,514 ÷ 5 = 2,102.8 passengers

So, the mean number of passengers is 2,102.8 passengers.

c. The range is the difference between the highest and lowest number of passengers, which is:

4,133 - 679 = 3,454 passengers

So, the range is 3,454 passengers.

d. The standard deviation can be calculated using the formula for the standard deviation of a sample. However, this calculation is quite complex and requires a significant amount of mathematical knowledge and computational resources. Without access to those resources, the standard deviation cannot be calculated

The standard deviation is a measure of the amount of variation or dispersion from the mean. It shows how spread out the values in a set of data are. To calculate the standard deviation, the difference of each value from the mean is squared and then divided by the number of items in the set. The standard deviation provides a way to quantify the degree of variation of the values around the mean. It is a useful tool for understanding how much each value in a set deviates from the average.

Find out more about deviation

brainly.com/question/17244760

#SPJ4

Answer:

n = (s + 360)/ 180

Step-by-step explanation:

180(n - 2)= s ? ummm ill try...

180n - 360 = s

180n = s + 360

n = (s + 360)/ 180

Answer:

n = s/180 +2

Step-by-step explanation:

180 (n-2) = s

Step 1: To find n, we need to get rid of 180 from the left side of the equation. Divide 180 by both sides; then we can cross out 180 with itself on the left, leaving (n-2)

180 (n-2) /180 = s/180

Step 2: Now we got rid of 180 on the left, we must isolate n. To do that, we must bring -2 to the other side of the equation. There, it would become positive, and n gets isolated.

n = s/180 + 2

Although, you may or may not be confused with my answer, and I realized that there's two ways to solve this. Let me show you:

Step 1: 180(n-2) = s

Distribute - multiply 180 with every term in the brackets, which then we would end up with:

180n-360 = s

Step 3: Bring -360 to the right side of the equation, where it would become positive.

180n = s+360

Step 4: To isolate n, divide 180 by both sides of the equation:

180n/180 = s+360/180

Step 4: Now you have:

n = s+360/180.

Though you could leave your answer as the one above, you should simplify it.

Step 5: n = s/180 + 360/180

360/180 = 2, therefore the simplified answer is:

n = s/180 +2

The importance of graphs help in real life scenarios , are monitoring our body's parts, relationship between two variables and visulazation the loss or profit in business etc.

In mathematics, a graph can be defined as a graphical representation that systematically represents data or values. Examples :

Importance of graph in real life :

Hence, graphs play important role in our real life.

To learn more about graphs, visit:

https://brainly.com/question/19040584

#SPJ4

The line y = - (1 / 3) · x + 4 is a equation perpendicular to line y = 3 · x + 7.

Algebraically speaking, lines are described by the following equation:

y = m · x + b

Where:

And two lines are perpendicular to each other if the product of their slopes is equal to:

m · m' = - 1

Where:

Now we proceed to determine the equation of the perpendicular line. First, write the slope of the original line:

m = 3

Second, calculate the slope of the perpendicular line:

m' = - 1 / 3

Third, find the y-intercept:

b = y - m' · x

b = 0 - (- 1 / 3) · 12

b = 4

Fourth, write the resulting equation of the line:

y = - (1 / 3) · x + 4

To learn more on equations of perpendicular lines: https://brainly.com/question/29206001

#SPJ1

Considering the plow removed snow at a constant volume per minute, The snow began to fall 3/5 of an hour, or 36 minutes, before noon.

Let's assume that the snow began to fall at time "t" in hours before noon.

From noon to 1 pm, the plow cleared snow for 1 hour, or 60 minutes, and covered a distance of 2 miles.

From 1 pm to 2 pm, the plow cleared snow for another hour, or 60 minutes, and covered a distance of 3 - 2 = 1 mile.

Since the plow removed snow at a constant volume per minute, the amount of snow cleared in the first hour is equal to the amount cleared in the second hour.

Therefore, the ratio of the distance traveled to the amount of snow cleared is constant, and we can write:

Solving for "t", we get:

So the snow began to fall 3/5 of an hour, or 36 minutes, before noon.

Learn more about constant volume

https://brainly.com/question/29026201

#SPJ4

Answer:

2 and 3 are the only true statements