Suppose that y varies directly with x, and y=-4 when x=10. what is
y when x=2.

Hello!

To solve this exercise, we must use the formula below:

Let's rewrite the information contained in the exercise as ordered pairs:

• (x1, y1) = (2002, 23,400)

• (x2, y2) = (2006, 27,800)

Knowing it, we can replace the values in the formula and solve it:

The rate is 1100 people per year.

We see BC is in the middle of the lines AB and BD, therefore mABC + mCBD = mABD.

We're given mABD = 75, mABC = 40.

Therefore, mCBD = mABD - mABC = 75 - 40 = 35.

Answer:

∠CBD = 35°

Step-by-step explanation:

We are told in the question that m∠ABD = 75° and m∠ABC = 40°. We are then asked what the value of m∠CBD is.

As we can see from the diagram, ∠ABD is made up of the angles ABC and CBD. Therefore:

∠ABD = ∠ABC + ∠CBD

⇒ 75° = 40° + ∠CBD

⇒ 75° - 40° = 40° + ∠CBD - 40°       [

⇒ 35° = ∠CBD

∴ ∠CBD = 35°

No, the variances are not similar enough to use the pooled t test. The ratio of the two variances (25/8) is greater than 3, which is the typical cutoff for determining similarity of variances. Therefore, an alternative method such as the Welch's t-test or a non-parametric test should be used to compare the means.

To determine if the variances are similar enough to use a pooled t-test, you can perform an F-test for equality of variances. Follow these steps:

1. Calculate the F statistic by dividing the larger variance by the smaller variance: F = var2 / var1 = 25 / 8 = 3.125.

2. Determine the degrees of freedom for each group: df1 = 10 - 1 = 9 and df2 = 10 - 1 = 9.

3. Check the F critical value for the given degrees of freedom and chosen significance level (e.g., 0.05) using an F-distribution table or a calculator. For df1 = 9 and df2 = 9 at a 0.05 significance level, the F critical value is approximately 3.18.

4. Compare the calculated F statistic to the F critical value: 3.125 < 3.18.

Since the F statistic is less than the F critical value, we fail to reject the null hypothesis that the variances are equal. Therefore, the variances are similar enough to use the pooled t-test to evaluate differences in the means. The answer is yes.

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The sum of the infinite geometric series –288 –216 –144 –72 is -1152.

The sum of an infinite number of terms having a constant ratio between successive terms is called as infinite geometric series.

Given series, -288, -216, -144, -72, ...

The sum of the infinite geometric series can be calculated as:

Sum = \(\dfrac{a}{1 -r}\)

Here, 'a' is the first term of the series and 'r' is the common ratio.

a = -288

The common difference can be calculated as:

r = \(\dfrac{(-216)}{(-288)}\)

= \(\dfrac{3}{4}\)

Substitute the values in the sum formula:

Sum = \(\dfrac{-288}{1 - \dfrac{3}{4}}\)

It can be simplified as:

Sum =  -288 \(\times\) 4

             = -1152

So, the sum of the infinite geometric series is -1152.

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There are 4,368 different ways to select an 11-player soccer team from a group of 16 players.

The combination formula is used to determine the number of ways to select items from a collection where the order of selection is irrelevant.

We can use the combination formula to determine the number of ways to select an 11-player soccer team from a group of 16 players. The combination formula is:

n choose k = n! / (k! * (n - k)!)

where n is the total number of items, k is the number of items to choose, and ! denotes the factorial function (i.e., the product of all positive integers up to and including the argument).

In this case, we want to choose k = 11 players from a group of n = 16 players. Therefore, the number of ways to select an 11-player soccer team from a group of 16 players is:

16 choose 11 = 16! / (11! * (16 - 11)!) = 4368

Therefore, there are 4,368 different ways to select an 11-player soccer team from a group of 16 players.

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Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators.


Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators. These variables help measure and track progress towards a goal by providing a quantitative or qualitative measure of how far the target is from the desired level of achievement.

Performance metrics can be represented in various forms, such as distance covered, percentage completed, points earned, or even subjective evaluations. For example, in a fitness program, a performance metric could be the number of miles run or the number of push-ups completed.

These metrics enable individuals or organizations to assess their progress and make necessary adjustments to reach their desired outcomes.

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Answer: To convert 20% profit into a profit amount, you would multiply 20% by the revenue or cost of the item or service.

Let's say,

You have revenue of $1000

So,

20/100 * 1000 = $200

So the 20% profit on the revenue of $1000 is $200.

It's important to note that profit is the amount of money you make after you subtract your costs from your revenue. It's the amount you have left after all the expenses, taxes and other deductions are made.

Step-by-step explanation:

Answer:

The 3rd one

Step-by-step explanation:

Answer:

They are corresponding angles

Step-by-step explanation:

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In a given year, an economy has 10 million unemployed workers and 120 million employed workers. This information provides a snapshot of the labor market and indicates the number of individuals who are currently without jobs and those who are employed.

The information states that in the given year, there are 10 million unemployed workers and 120 million employed workers in the economy. This data provides a measure of the labor market situation at a specific point in time.

Unemployed workers refer to individuals who are actively seeking employment but currently do not have a job. The number of unemployed workers can be an important indicator of the health of an economy and its ability to provide job opportunities.

Employed workers, on the other hand, represent individuals who have jobs and are currently working. The number of employed workers indicates the size of the workforce that is actively contributing to the economy through productive activities.

By knowing the number of unemployed and employed workers, policymakers, economists, and analysts can assess factors such as labor market conditions, unemployment rates, and workforce participation rates. This information is crucial for formulating policies, understanding economic dynamics, and monitoring the overall health and functioning of the economy.

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From the given information provided, the probability of event F given that event E has occurred is 0.5.

Conditional probability is probability of an event A occurring with given that event B has occurred. It is denoted as P(A|B) and is calculated as follows:

P(A|B) = P(A and B) / P(B)

To find P(F/E), we use the conditional probability formula:

P(F/E) = P(E and F) / P(E)

We are given that P(E and F) = 0.1 and P(E) = 0.2. Substituting the given values in the formula, we get:

P(F/E) = 0.1 / 0.2

Simplifying this expression, we get:

P(F/E) = 0.5

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Answer:

It’s either 2 or 3 but I’m say 2.

Answer:

-8

Step-by-step explanation:

Following Order of Operations rules, we evaluate anything within parentheses first:

8-[12-(-4)] = 8 - 16 = -8

Answer:

The system of equations will be:

p(x) = 0.9x + 6.80

m(x) = 0.65x + 7.30

Hence, option D is correct.

Step-by-step explanation:

The slope-intercept form of the linear equation

f(x) = mx+b

where

Analyzing Papa's Pizzeria p function:

Given that A large pizza at Papa's Pizzeria cost $6.80 plus $0.90 for each topping.

As the fixed cost or initial cost of Papa's Pizzeria is $6.80.

As Papa's Pizzeria offers $0.90 for each topping.

We know that the slope-intercept form of the linear equation

f(x) = mx + b

In this case, the function is m.

now substituting m = 0.9 and b = 6.80 in the slope-intercept form of linear equation

p(x) = 0.9x + 6.80

Thus, the equation that represents the Papa's Pizzeria topping and cost model.

p(x) = 0.9x + 6.80

Analyzing Papa's Pizzeria p function:

Given that a large cheese pizza at Mama's Pizza costs $7.30 plus $0.65 for each topping.

As the fixed cost or initial cost of Mama's Pizza is $7.30.

As Mama's Pizza offers $0.65 for each topping.

We know that the slope-intercept form of the linear equation

f(x) = mx + b

In this case, the function is m.

now substituting m = 0.65 and b = 7.30 in the slope-intercept form of linear equation

m(x) = 0.65x + 7.30

Thus, the equation that represents the Mama's Pizza topping and cost model.

m(x) = 0.65x + 7.30

Conclusion:

The equation that represents the Papa's Pizzeria topping and cost model.

p(x) = 0.9x + 6.80

The equation that represents the Mama's Pizza topping and cost model.

m(x) = 0.65x + 7.30

Thus, the system of equations will be:

p(x) = 0.9x + 6.80

m(x) = 0.65x + 7.30

Hence, option D is correct.

Answer:

n = 0 or 10

Step-by-step explanation:

From the question,

Equation of the circle = (x-1)²+(y-5)² = 50 ............... Equation 1

Coordinate of the circle = (6,n)

From the question

x = 6, y = n

Substitute the value of x and y into equation 1

(6-1)²+(n-5)² = 50

5²+(n-5)² = 50

25+(n-5)² = 50

(n-5)² = 50-25

(n-5)² = 25.

Solving for n

n-5 = √(25

n-5 = ±5

Either,

n-5 = -5

n = -5+5

n = 0

or

n-5 = +5

n = 5+5

n = 10

Answer:

n = 3.16

Step-by-step explanation:

Since the point (6, n) lies on the circle then the coordinates of the point make the equation true.

Substitute x = 6 and y = n into the equation

(6 - 1)² + (n - 5)² = 50, that is, expanding using FOIL

5² + n² - 10n + 25= 50 by simplifying

25 + n² - 10n = 50 ( subtracting 50 from both sides and rearrange )

n² - 10n = 0 ← in standard form

n²=10

n = √10

The values of n is 3.16

Answer:

a = 7

Step-by-step explanation:

the mean is calculated as

mean = \(\frac{sum}{count}\)

given mean of 5 numbers is 7 , then

\(\frac{3+6+a+9+10}{5}\) = 7 ( multiply both sides by 5 )

28 + a = 35 ( subtract 28 from both sides )

a = 7

Answer: 7

Step-by-step explanation:

Concept = Mean

Given = Values and Mean

To Find = Missing value

Explanation:

We have been given a set of value and its mean.

The set of values are 3, 6, a, 9, 10.

The mean is 7.

Here the unknown value is 'a'.

We have been given mean and we need to find the unknown value.

Mean is the summation of the values divided by the number of values.

Here the count of values is 5. The mean is 7.

Mean = ∑values/count

Mean= (3+6+a+9+10)/5

7= (3+6+a+9+10)/5

35= (3+6+a+9+10)

35= 28+a

a= 35-28

a=7

Therefore, value of unknown 'a' is 7.

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9514 1404 393

Answer:

  C. f(x) = 2(3^x)

Step-by-step explanation:

The y-intercept is the function value when x=0. Your choices are ...

  A. f(0) = 1 +2 = 3

  B. f(0) = 3(1) = 3

  C. f(0) = 2(1) = 2 . . . . . the function of interest

  D. f(0) = 2(1) -2 = 0

Answer:

5

Step-by-step explanation:

EF = 47 - 7x = 1/2 BC = 1/2 * (14+4x)

solve for x

x=6

so EF = 47-7*6 =  5

In the given scenario, the line of best fit would indicate the relation between the distance covered in feet and the distance covered in meters in long jump. Question: Connections could make the record 28 feet or \(8.5344\) meters. Beamon's jump obliterated that by jumping over the 28-foot range to over 29 feet!

Your question here, what would the line of best fit? Long Jump: Long jump is a track and field event where the athlete runs down a runway and jumps as far as possible into a sandpit from a wooden takeoff board. The athlete's performance is measured from the edge of the takeoff board to the closest mark in the sand made by any part of their body.

The Line of Best Fit: The line of best fit is a straight line drawn through the center of a group of data points plotted on a scatter plot. The line of best fit is used to show the relationship between two sets of data, such as distance covered in feet and meters in long jump. The best fit line in this case would be a straight line passing through the scatter plot of the points representing the distance covered in feet and meters during a long jump.

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Step-by-step explanation:

plzz mark me as brainlest sorry if I dont know the answer I'm just 10 tho

Answer: 1: (2/v) 2: (3/m^4) 3: (4/x^4) 4: (1/k^3)

Step-by-step explanation:

When there is a negative exponent, the variable moves from the numerator (top) to the denominator (bottom), which gets rid of the negative sign in front of the exponent. MOVE ONLY THE VARIABLE AND CORRECT EXPONENT!!

Answer:  approximately 4.7368 minutes

This decimal value is the result of computing 90/19

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

Explanation:

Let's find the LCM of 6, 9 and 15. First, list out the prime factorization of each value.

The unique prime factors are 2, 3, and 5. We have 2 show up at most once, 3 show up at most twice, and 5 show up at most once. The LCM is 2^1*3^2*5^1 = 2*9*5 = 18*5 = 90.

We'll use this LCM value to set up an example below.

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

Consider the tank to be 90 gallons. If we only use tap A, keep tap B closed, and don't open pipe C, then tap A fills the tank at a rate of 90/6 = 15 gallons per minute since it needs 6 minutes to completely fill the tank.

If we have tap B do all the work (keep tap A and pipe C closed), then the rate is 90/9 = 10 gallons per minute for this tap.

Keeping pipe C closed, the two taps A and B work together to have a combined rate of 15+10 = 25 gallons per minute.

Now we consider pipe C being opened. This drains the tank and can do so in 15 minutes (assume the taps A and B aren't open). If we're dealing with a full 90 gallon tank, then its rate is 90/15 = 6 gallons per minute.

The net rate is 25-6 = 19 gallons per minute. We can think of it as a tug of war where the taps A and B ultimately win out despite the fact that pipe C is draining the water. The two taps fill the tank faster than the pipe can drain the tank.

In other words, the tank ultimately gets filled up rather than drained out over the long run. That net speed is at 19 gallons per minute.

The amount of time needed is approximately 90/19 = 4.7368 minutes.

Side note: you can start with any size tank. It doesn't have to be 90 gallons. I picked on this value because it works cleanly with the original given numbers 6, 9 and 15.

Answer:

\(x=\frac{90}{19}\) = 4.73 minutes

\(\frac{1}{6}x +\frac{1}{9}x - \frac{1}{15} x = 1\)

\(\frac{135}{810}x +\frac{90 }{810}x - \frac{54}{810} x = 1\)

\(\frac{171}{810}x = 1\)

x = 4.73 minutes

Step-by-step explanation:

The option that needs to be corrected in this making of a that is line parallel to AB via C is known to be the second arc should be centered at C.

The second arc should be centered at C because as it crosses via Line C, it is seen that it was not touching or intersecting AB and so one can say that it is a  parallel to it.

Looking at the other lines, you will see that they are all touching AB and are not running parallel to it.

Therefore, The option that needs to be corrected in this making of a that is line parallel to AB via C is known to be the second arc should be centered at C.

See full question below

What needs to be corrected in this construction of a line parallel to AB passing through C?

A) The first arc should pass through C.

B) The first arc should pass centered at C.

C) The second arc should be centered at C.

D) The second arc should cross the first arc.

E) The second arc should be centered at F

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Answer:

what net. there is no net

Step-by-step explanation:

Answer: triangular prism

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Brainliest Please!!!

Using the given fractions if the abominable snowman has six snow cones and has already eaten 1/3 of them, there are four snow cones left for him to give to Mike.

To solve this problem, we need to subtract the number of snow cones that the abominable snowman has already eaten from the total number of snow cones that he started with.

If the abominable snowman started with six snow cones and already ate 1/3 of them, then we need to find 1/3 of 6 to determine how many snow cones he has already eaten:
1/3 x 6 = 2

So, the abominable snowman has already eaten two snow cones.

To find out how many snow cones are left, we subtract 2 from the total number of snow cones:
6 - 2 = 4

Therefore, there are four snow cones left that the abominable snowman can give to Mike.

In summary, if the abominable snowman has six snow cones and has already eaten 1/3 of them, there are four snow cones left for him to give to Mike.

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Answer:

0

Step-by-step explanation:

Solving mathematically,

(1+1)×0

1+1=2

2×0=0

Rounding to the nearest hour, it would take the rocket approximately 8 hours to travel to the moon at a speed of 500 miles per minute.

The amount of time it takes a rocket to travel to the moon, we need to divide,

the distance between the earth and the moon (239,000 miles) by the speed of the rocket (500 miles per minute).
So, the calculation would be:

239,000 miles ÷ 500 miles per minute = 478 minutes
To convert this into hours, we need to divide by 60:
478 minutes ÷ 60 = 7.97 hours

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The slope of the new road is zero.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Take points from the Graph (5, 0) and (5, 4).

Slope of a line = m = tanθ

where θ is the angle made by the line with the x−axis.

For a line parallel to y−axis ,θ= π/2.

​

∴m = tan π/2 = undefined

The new road will therefore have 0° of inclination if it is perpendicular to D street because if they are perpendicular and D street is vertical, the new road is level and has 0° of inclination.

An horizontal line now has zero slope.

The new road has a zero slope as a result.

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Answer:

39/18 = 13/6 = 2 1/6

Step-by-step explanation:

factors are 1,2,3,6,9,18

so the reciprocals are

1/1, 1/2, 1/3, 1/6, 1/9, 1/18

when added the sum is 39/18 or 2 1/6

Answer:

its 159

Step-by-step explanation:

The angle CDF is 159 degrees

Using this formula to determine angle CDF

Angle CDF=m angle 1+ m angle 5+

Where:

m angle 1=117 degrees

m angle 5=42 degrees

Let plug in the formula

Angle CDF=117 degrees+42 degrees

Angle CDF=159 degrees

Inconclusion the angle CDF is 159 degrees

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