Explain how to find the measure of angles a and b has a measure of 36 degrees

The projection of → b onto → a is ⟨-6/13, 30/13⟩.

To find the projection of → b onto → a, we need to use the formula:
proj⟨a⟩(b) = ((b · a) / ||a||^2) * a

First, we need to find the dot product of → a and → b:
→ a · → b = (-1)(-3) + (5)(3) = 12

Next, we need to find the magnitude of → a:
||→ a|| = √((-1)^2 + 5^2) = √26

Now, we can plug in these values into the formula:
proj⟨a⟩(b) = ((b · a) / ||a||^2) * a
proj⟨a⟩(b) = ((12) / (26)) * ⟨-1, 5⟩
proj⟨a⟩(b) = (12/26) * ⟨-1, 5⟩
proj⟨a⟩(b) = ⟨-12/26, 60/26⟩
proj⟨a⟩(b) = ⟨-6/13, 30/13⟩

Therefore, the projection of → b onto → a is ⟨-6/13, 30/13⟩.

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(F' means complement of F)   is:  The probability of F' would be the probability of F not occurring, which is 1-P(F).

The best way to answer this question is to use a Venn diagram to represent the events F, G, and H. F' would represent the complement of F, which means that the event would occur if F does not occur. Using the Venn diagram, you can see that P(GH) = 0.2 means that G and H intersect in the diagram.

The intersection of G and H would represent the probability of both G and H occurring at the same time, which is 0.2. The diagram is below:The total probability of the events occurring together is represented by the shaded area in the Venn diagram. In this case, the shaded area is 0.2, which means that the probability of events G and H occurring together is 0.2.

Since F' is the complement of F, it would be represented by the empty area outside of F. The probability of F' would be the probability of F not occurring, which is 1-P(F).

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Answer:

B) -1/2

Step-by-step explanation:

Slope is change in y divided by change in x.

So, 6-4/-4-0 = 2/-4 so reduces to -1/2

Answer:

Slope = -4

Step-by-step explanation:

Slope = change in y ÷ Change in x

         \(= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \frac{0-4}{5-4}\\\\= \frac{-4}{1}\\\\= - 4\)

The annual snowfall for City B is approximately 4.81 inches.

To find the annual snowfall for City B, we need to solve the equation given in the question: 69.8 = 14.5x, where x represents the snowfall in City B.

This simplifies to:
69.8 / 14.5 = x

This simplifies to:
4.81 ≈ x

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Answer:

b. 0.37

Step-by-step explanation:

it asks for everyone from 60-69 so you add the male and female together and put it into a fraction it should come out as .37/1 or 0.37

The required arc length of sector VW is 8\(\pi\).

Given that, in a circle U, radius  UV = 9 and  central angle of sector m∠VUW = 160°.

To find the arc length of sector VW, we can use the formula:

Arc length = (central angle / 360) x circumference of the circle.

First,  find the circumference of the circle by the  formula for the circumference of a circle is given by:

Circumference = 2 x \(\pi\) x radius.

Circumference = 2 x \(\pi\) x 9 = 18π.

Now, let's find the arc length of sector VW using the central angle of 160 degrees:

Arc length = (160/360) x 18π

Arc length = (4/9) * 18\(\pi\) = 8\(\pi\).

Therefore, the arc length of sector VW is 8\(\pi\).

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Answer:

17

Step-by-step explanation:

6 x 2 = 12 so 12 + 5 = 17

Dylan would have to pay $17.

For such questions it is best to form an expression.

The parking fee has a fixed cost of $5.

It also has a cost per hour of $2.

This means that if a person spends t hours at the parking lot, they will have to pay $2 per hour for those t hours.

Expression = 2 x t = 2t

Whole expression including the fixed amount is:

5 + 2t

If Dylan parked for 6 hours therefore, he would pay:

= 5 + 2 t

= 5 + 2 x 6

= $17

Dylan would therefore have to pay $17 if he left his car for 6 hours.

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True, the outer loop in each of the three sorting algorithms (e.g., Bubble Sort, Selection Sort, Insertion Sort) is responsible for ensuring the number of passes required are completed. It iterates through the entire list to make sure the sorting process is executed correctly.

An algorithm is a standard formula or set of instructions that has a finite number of steps or instructions for using a computer to solve a problem.

The time complexity is a measurement of how long an algorithm takes to run until it completes the task in relation to the size of the input.

Flowcharts can be used to illustrate algorithms, an algorithm for a process or workflow can be graphically represented in a flowchart.

Therefore, an algorithm is a collection of guidelines for resolving a dilemma or carrying out a task.

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8x=48 uhhhhhhhhhhhhhhhhhhhhh

In linear equation, 31.25  is the maximum number of copies you can afford to make .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                          Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Here,

Let the number of copies be x,

According to the question,

0.40x < 12.50

x < 12.50 / 0.40

x <  31.25

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Given:

Machine A covers 5/8 square feet in 1/2 hour.

Machine B covers 2/3 square feet in 1/3 hour.

Solution:

The unit rate of the machine A will be as

The unit rate of the machine B will be as

Answer:

Hence, the unit rate of the machine B is greater.

Answer:

(x + 13, y + 7)

Step-by-step explanation:

Hello there!

In order to find what the translation rule is, we need to find how much it move to the right/left and up/down

In this case, the line segment VW moved up 7 and to the right by 13

We can get this by checking how far apart the points are

I checked how far apart V and V prime

(V prime is the green V. When a point is primed, its just saying that the point has gone through translation, rotation, dilation, or reflection)

V is 13 units to the left of V prime and 7 units below V prime

This means that, to go from line VW to line V prime W prime, you need to shift the line up 7 units and to the right 13 units

So, the translation rule is (x + 13, y + 7)

*If you don't understand, tell me in the comments, I will try to explain further to your understanding. Thank you, and have a great rest of your day :)*

Answer:

5/-9

Step-by-step explanation:

cuz it is just trust me

The factors that affect the width of a confidence interval are a. population variation, c. sample size, and d. confidence level

Confidence interval refers to a statistical measure that attempts to estimate the range of values that could plausibly contain the true value of a population parameter. A confidence interval, in other words, is a statistical range that tells us how sure we are that a statistical estimate we're interested in lies between two values.

There are several factors that can affect the width of a confidence interval. Here are some of them:

The Question was Incomplete, Find the full content below :

what factors of the following affect the width of a confidence interval?

a. population variation

b. none of them

c. sample size

d. confidence level

e. sample mean

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All of the following are measures of central tendency except the range.

The range is a measure of dispersion, representing the difference between the largest and smallest values in a dataset. It provides information about the spread or variability of the data but does not provide information about the central tendency.

On the other hand, measures of central tendency are statistical measures that aim to summarize the center or typical value of a dataset. They include the mode, median, and mean.

The mode represents the most frequently occurring value(s) in the dataset.

The median is the middle value when the data is arranged in ascending or descending order. It divides the dataset into two equal halves.

The mean is the arithmetic average of all the values in the dataset. It is calculated by summing all the values and dividing by the total number of values.

Therefore, option C, range, is not a measure of central tendency as it focuses on the spread or dispersion of the data rather than summarizing the central or typical value.

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Therefore, we conclude that (\beta = 0) and (\alpha A_1 = \frac{1}{2}).

To determine the constants (\alpha) and (\beta) in the given differential equation (y'' + \alpha y' + \beta y = t + e^s), we can substitute the form of the particular solution (y_p(t) = A_1 t^2 + A_0 t + B_0 te^4) into the differential equation and compare coefficients.

First, let's find the first and second derivatives of (y_p(t)):

(y_p'(t) = 2A_1 t + A_0 + B_0e^4)

(y_p''(t) = 2A_1)

Substituting these derivatives and (y_p(t)) into the differential equation, we have:

(2A_1 + \alpha(2A_1 t + A_0 + B_0e^4) + \beta(A_1 t^2 + A_0 t + B_0 te^4) = t + e^s)

Expanding and collecting like terms, we get:

(2A_1 + 2\alpha A_1 t + \alpha A_0 + \beta A_1 t^2 + \beta A_0 t + \beta B_0 te^4 = t + e^s)

Now, let's compare the coefficients on both sides of the equation. The coefficient of (t^2) on the left side is (\beta A_1), which should be zero since there is no (t^2) term on the right side. Therefore, (\beta A_1 = 0), which implies that either (\beta = 0) or (A_1 = 0).

If (\beta = 0), then the differential equation becomes (2A_1 + 2\alpha A_1 t + \alpha A_0 = t + e^s). Comparing the coefficients of (t) on both sides, we have (2\alpha A_1 = 1). Since this should hold for all values of (t), we must have (\alpha A_1 = \frac{1}{2}).

If (A_1 = 0), then the differential equation becomes (2A_1 + \alpha A_0 = t + e^s). Comparing the constant coefficients on both sides, we have (2A_1 = 1), which implies that (A_1) cannot be zero.

To determine the specific values of (\alpha) and (A_1), we would need additional information or constraints given in the problem. Without further details, we cannot uniquely determine their exact numerical values.

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Answers:

a) Function

b) Domain = {3, -4, -3}

You won't type in the curly braces for the domain, but it's common to use them to indicate we're talking about a set.

========================================

Explanation:

We have a function because each item in the domain (blue oval) goes to exactly one item in the range (green oval). We don't have two arrows or more originating from one item in the domain. So each input leads to exactly one output.

The domain is the set of allowed inputs. So the domain is the set {3, -4, -3}. Those items are found in the blue oval. As your teacher instructs, you won't be typing in the curly braces, but it's common to see the domain listed as a set like this. Optionally you can sort the items from smallest to largest, but it's not necessary. This is because order doesn't matter in a set.

Answer:

a.) Function

b.) 3, -4, -3

Step-by-step explanation:

hope this is right!

-Jules :)

The probability that exactly 2 ATMs are in use is 0.29, according to the given cdf.

To find the probability that exactly 2 ATMs are in use, we need to subtract the probability that less than 2 ATMs are in use from the probability that less than or equal to 2 ATMs are in use.

From the given cdf, we have:

P(X < 2) = F(2-) = F(1) = 0.1

P(X ≤ 2) = F(2) = 0.39

Therefore, the probability that exactly 2 ATMs are in use is:

P(X = 2) = P(X ≤ 2) - P(X < 2)

= 0.39 - 0.1 = 0.29So,

pX(2) = 0.29.

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Answer:

161

Step-by-step explanation:

Answer:

The points scored for each game are approximately normally distributed. The numbers distributed are in order of value from the least to greatest, making it easy to get the medium or mean.

Step-by-step explanation:

The correlation coefficient that represents the strongest relationship between two variables is -0.75.

In correlation coefficients, the absolute value indicates the strength of the relationship between variables. The strength of the association increases with the absolute value's proximity to 1.

The maximum absolute value in this instance is -0.75, which denotes a significant negative correlation. The relevance of the reverse correlation value of -0.75 is demonstrated by the noteworthy unfavorable correlation between the two variables.

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Answer:

Dude dont spend 100 points! This place is scamming people

Step-by-step explanation:

The initial value obtained using the slope-intercept relation is 3 gallons.

We need to obtain the rate of change which gives the amount of gas entering into his car per second :

Rate of change = Rise / Run

Rate of change = - 11 - 3) / (48 - 0)

Rate of change = 8/48 = 1/6 gallons

Using the slope intercept relation :

y = bx + c

b = slope ; c = initial amount of gas

Choosing any pair of (x, y) point on the table :

(0, 3)

3 = 1/6x + c

3 = 1/6(0) + c

3 = 0 + c

c = 3

Therefore, the initial value is 3 gallons.

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Answer:

First you have to find out how many students were asked.

Rock 20

Hip-hop 40

Country 30

Aiden asked to 90 students

Step-by-step explanation:

It’s a Rule of 3:

If in a group of 90 students 20 chose rock. In a group of 360, How many students will choose rock?

90s - 20rock

360- ?

360(20)/90 = 80

Then do the same thing with country.

90s - 30country

360s- ?

360(30)/90 = 120

The total of country and rock will be:

200 students

The amount contributed by Willie and Bruno is $31000 and $19,000 respectively.

Let amount contributed by Willie be x

Let amount contributed by Bruno be y

Since Willie agreed to contribute $12,000 more than Bruno;

Therefore;

By solving the system of equations simultaneously;

In essence; The amount contributed by Willie and Bruno is $31000 and $19,000 respectively.

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Answer:

-11

Step-by-step explanation:

7-10-8 = -11

Answer:

-11

Step-by-step explanation:

7 - 10 = - 3

-3 + 8 = -11

hope this helps

After solving, the gradient of the line y = 6x - 5 is 6.

We have to find the gradient of the line y = 6x - 5.

The formula known as the slope relates to the method for calculating a line's steepness and inclination. The x and y coordinates of the locations along the line can be used to determine the slope of the lines. It is the ratio of the change in the y-axis to the change in the x-axis, to put it another way.

By utilizing the line equation, the slope of any line may be expressed as

y = mx + b, where m = gradient.

When we compare the given equation y = 6x - 5 by the standard equation, we get m = 6.

So the gradient of the line y = 6x - 5 is 6.

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The write question is:

What is the gradient of the line y = 6x - 5

300000

anything or 5 is rounded up

Answer:

289,000 nearest thousand

288,800 nearest hundred

Step-by-step explanation:

Find the number in the thousand place 8

and look one place to the right for the rounding digit 8

. Round up if this number is greater than or equal to 5

and round down if it is less than 5

.

Answer:

i believe its 1.75 (i had to relearn this)

Step-by-step explanation:

1.75 times 28= 49

1.75 times 20= 35