Gastonia’s population of 15,000 in 2020 was expected to grow exponentially by 12% each DECADE for the rest of the century…

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What will be the population in 2030?

ANSWER: people

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What will be the population in 2040?

ANSWER: people

Answer:

\(=2x^2+3xy-2y^2\)

Step-by-step explanation:

When given the following problem;

\((2x-y)(x+2y)\)

Distribute, multiply every number in one of the parenthesis by every number in the other;

\((2x-y)(x+2y)\\=(2x)(x)+(2x)(2y)+(-y)(x)+(2y)(-y)\)

Simplify,

\(=(2x)(x)+(2x)(2y)+(-y)(x)+(2y)(-y)\\=2x^2+4xy-xy-2y^2\\=2x^2+3xy-2y^2\)

Therefore, the final answer is;

\(=2x^2+3xy-2y^2\)

Answer:

450

Step-by-step explanation:

i think thats right

Answer:

  2079

Step-by-step explanation:

In order for the decimal equivalents to be terminating, the only factors that can remain in the denominators are 2 and 5.

Here, the given denominators are

  66 = 2·3·11

  105 = 5·3·7

So, the values of k must be multiples of 3, 7, and 11. The least common multiple of these numbers is 3·7·11 = 231, so ...

  S = {0, ±231, ±462, ±693, ...}

The smallest member of S that is greater than 2010 is ...

  ceiling(2010/231)·231 = 9·231 = 2079

_____

For k=2079, the terminating decimals are ...

  \(\dfrac{17\cdot 2079}{66}=535.5\\\\\dfrac{13\cdot 2079}{105}=257.4\)

Answer:

its just a black picture

Step-by-step explanation:

Answer:

its in math

Step-by-step explanation:

Answer:

sorry i looked and i tried, but i dont know the answer.

Step-by-step explanation:

Answer: A

Step-by-step explanation: You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6.

True. The linear regression model is commonly used for descriptive purposes, such as identifying and quantifying relationships between variables.

True. While a linear regression model can be valuable for descriptive purposes, such as understanding relationships between variables, its predictive value can be limited. This is because linear regression models make assumptions about the linearity of the relationship between variables and may not capture more complex patterns in the data. Additionally, factors like outliers, multicollinearity, and overfitting can negatively impact the model's predictive accuracy. Therefore, it is important to consider these limitations when using a linear regression model for prediction purposes. However, its predictive value is limited as it assumes a linear relationship between variables and does not account for complex interactions or non-linearities in the data. Other predictive models, such as machine learning algorithms, may be more effective in predicting outcomes.

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The format element that will display the value of Friday in a specified date as a 6 is option B, DD.

The format element that will display the value of Friday in a specified date as a 6 is option B, DD. DD displays the day of the month as a two-digit number, for example, 01 for the first day of the month and 31 for the last day of the month. It does not display the day of the week. Option A, D, displays the day of the week as a single-digit number, for example, 1 for Monday and 7 for Sunday. Option C, DDD, displays the abbreviated name of the day of the week, for example, Fri. Option D, DAY, displays the full name of the day of the week, for example, Friday. Therefore, option B, DD, is the correct answer to the question.
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Answer:

P=5x3+17  P=32

Step-by-step explanation:

Answer:

7/4

Step-by-step explanation:

Answer:

7/4

Step-by-step explanation:

hope this helpsss :)) xx

Step-by-step explanation:

step 1. 15^18/15^3

step 2. 15^18*15^-3

step 3. 15^(18 - 3)

step 4. 15^15

Answer:

Step-by-step explanation:

C

Because 17 divided by two is 8.5

6+9=69 ok so this is simple beacause you take six then add nine with it to get 69

The correct option is A) 9∕8, evaluating the exponent expression with a = -2 and b = 3, we find that the value is -8.

We are given the expression a^b, where a = -2 and b = 3. Substituting these values into the expression, we have (-2)^3.

To evaluate this expression, we raise -2 to the power of 3. When we raise a negative number to an odd power, the result will be a negative number.

So, (-2)^3 will yield a negative value.

Calculating (-2)^3, we multiply -2 by itself three times: (-2) × (-2) × (-2). This equals -8.

Therefore, the correct option is A) 9∕8 and the value of the exponent expression (-2)^3 is -8.

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Answer:

It is $2400.

Step-by-step explanation.

let the total amount be x.

10% of x = $240

x= $240*100/10

total amount - $2400

Answer:

I dunno, maybe 2400?

Since 240 is only 10% of what Shanika wants so maybe 2400 dollars?

Step-by-step explanation:

i'm unsure if I'm correct but here's my answer now go try to help me with my homework like we bargained.

The time it takes for a rocket following the path h(x)= -4x² + 16x to hit the ground is 4 seconds.

How to find the time for a rocket to hit the ground?

The given path equation is a function of x which is a time variable here. When the rocket hits ground, height of the rocket gets zero.

Hence equating the equation of height to zero and solving for x will give the time required for the rocket to hit the ground.

According to the given question:

We are given equation for height as

h(x) = -4x² + 16x

where x is the time in seconds

When object hits the ground the height becomes 0

So, we can set h(x) = 0 and then we can solve for x

-4x² + 16x = 0

Dividing by -4x from both sides

x - 4 = 0

x = 4 sec

So, the time it takes for a rocket  to hit the ground is 4 seconds.

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Answer: length = 12 feet, width = 54 feet and depth = 6 feet.

The angle pairs by parallel lines cut by a transversal are corresponding angles, interior/exterior angles etc.

Many angle pairs are created when a transversal crosses a pair of parallel lines. They consist of the following:

Corresponding angles: The positions on either side of the transversal and on the opposing sides of the parallel lines are referred to as corresponding angles. If the parallel lines are sliced by the transversal, then the corresponding angles are congruent and have the same measure.

Interior angles: These are a pair of angles that are inside parallel lines and on the opposing sides of the transversal. If the transversal cuts the parallel lines, alternate inner angles are equivalent.

External angles: These are a pair of angles that are outside the parallel lines and on the opposing sides of the transversal. If the transversal cuts the parallel lines, then alternate exterior angles are congruent.

Vertical angles: These are opposite-to-each pairs of angles created by the junction of two lines. By definition, these are the angles that are congruent, which means having the same measure.

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The mean weight for each group and the difference between them, calculate the mean weight for group a and group b separately, and then subtract the mean of group b from the mean of group a.

To calculate the mean weight for each group (xa and xb), follow these steps:

1. Add up all the weights of group a and divide by the total number of data points in group a to find the mean weight (xa).
2. Repeat the same process for group b, adding up all the weights and dividing by the total number of data points to find the mean weight (xb).
3. Finally, subtract the mean of group b (xb) from the mean of group a (xa) to find the difference between the two means (xa - xb).

In summary, to find the mean weight for each group and the difference between them, calculate the mean weight for group a and group b separately, and then subtract the mean of group b from the mean of group a.

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Answer:

An 'Economic rent' can be broadly defined as income derived from ownership or control over a limited asset or resource. Such income is attained without any expenditure or effort on behalf of the resource holder or in excess of their opportunity cost.

Step-by-step explanation:

1. Search up "Economic Rent" on your browser

Information found on:

https://www.ucl.ac.uk/bartlett/public-purpose/research/economic-rents#:~:text='Economic%20rent'%20can%20be%20broadly,excess%20of%20their%20opportunity%20cost.

Hope this helps!

The  two lines dodo intersect at the point (-3, 1, -4/5).
Since,  the lines intersect, they are not parallel.

To determine if the lines intersect or are parallel, we can first find their equations in vector form.

For Line E, we can use the point-direction form:

r = <1, 5, 2> + t<2, 2, 3>

where r is a point on the line and t is any real number.

For Line F, we can use the two-point form:

r = <3, 1, 6> + s<2, -1, -4>

where r is a point on the line and s is any real number.

To see if the lines intersect, we can set the two equations equal to each other and solve for t and s:

<1, 5, 2> + t<2, 2, 3> = <3, 1, 6> + s<2, -1, -4>

Simplifying this equation, we get:

2t - 2s = 2
2t + s = -4
3t + 4s = 4

Solving this system of equations, we find that t = -2 and s = -6/5. Substituting these values into either of the line equations, we get:

r = <1, 5, 2> + (-2)<2, 2, 3> = <-3, 1, -4/5>

So the two lines dodo intersect at the point (-3, 1, -4/5).

Since the lines intersect, they are not parallel.

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A. The power of the two-tailed hypothesis test with α = .05 is 0.53.

B. The power of the one-tailed hypothesis test with α = .05 is 0.95.

A hypothesis test is used to make decisions about a population based on sample data. It involves specifying a null hypothesis, collecting data, and then assessing the data to either reject or accept the null hypothesis.

A. The power of the two-tailed hypothesis test is calculated using the formula:

Power=

1- β=1- (1-α)\(^{1/2}\)

=1- (1-0.05)\(^{1/2}\)

=0.525

=0.53

This means that the researcher has an 53% chance of correctly rejecting the null hypothesis that there has been no change in the IQ over the past 10 years.

B. The power of the one-tailed hypothesis test is calculated using the formula:

Power=

1- β=1- α

=1- 0.05

= 0.95

This means that the researcher has a 95% chance of correctly rejecting the null hypothesis that there has been no increase in the IQ over the past 10 years.

This is a higher power than the two-tailed test because the one-tailed test focuses on detecting an increase in the IQ, while the two-tailed test can detect both an increase or decrease in the IQ.

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The probability of getting between three and seven heads, inclusively, when flipping a coin 10 times is approximately 0.377 or 37.7%.

The probability of getting between three and seven heads, inclusively, when flipping a coin 10 times can be calculated using the binomial probability distribution.

The probability of getting x successes in n trials, where the probability of success in a single trial is p, is given by the formula P(x) = nCx * p^x * (1-p)^(n-x), where nCx is the number of combinations of n things taken x at a time.

In this case, the probability of getting a head on a single coin flip is 0.5, and we are flipping the coin 10 times. So the probability of getting between three and seven heads, inclusively, is:

P(3) + P(4) + P(5) + P(6) + P(7)

= (10C3 * 0.5³ * 0.5⁷) + (10C4 * 0.5⁴ * 0.5⁶) + (10C5 * 0.5⁵ * 0.5⁵) + (10C6 * 0.5⁶ * 0.5⁴) + (10C7 * 0.5⁷ * 0.5³)

= 0.376953125

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Answer: (My view) 6.

Step-by-step explanation: Letting "n" be the number of pictures taken. The probability of no one look at the camera for n photos is of (3/4)^n.

Hence, the probability of at least one photo be the picture craven is of:

(1 - (3/4)^n), and since the likelihood of that being equal to 4/5, it's feasible to assume that (1 - (3/4)^n) = 4/5, solving for that would give:

(3/4)^n = 1/5. Notice that the proposal can also be interpreted as "The number of pictures needed such that the probability of a picture NOT including one with everyone looking at the camera is at most 1/5",

Therefore, (3/4)^n < 1/5;

To solve for that:

n = 1:

3/4 > 1/5,

n = 2:

9/16 > 1/5

n = 3

27/64 > 1/5

n = 4

81/256 > 1/5

n = 5

243/1024 > 1/5

But finally:

n = 6

729/4096 < 1/5

For at least 6 pictures she must take to have at least a 4/5 chance of having a picture in which everyone is looking at the camera.

Let p define the probability of success in a Bernoulli trial, and P define the probability Sara wants to reach "at least" and n be defined as the number of trials. Then,

= 1 - (1 - p)ⁿ ≥ P

= (1 - p)ⁿ ≤ 1 - P

= n ≥ ln(1-P)/ln(1-p)

= n ≥ ln (0.2) / ln (0.75)

=5.6

Hence for at least n=6 photos, there is at least a chance of 4/5 that everyone is looking at the camera.

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Answer:

A

Step-by-step explanation:

I think you are in geometry I learned this a little back...

It's hard to explain but basically one side is just (n) another is (n(square root sign))and another is (2n.)    

So the answer Is a because in this case (n) is 4  

To see if there is a significant difference in the costs of airline flights between the west and east coasts to Lincoln, Nebraska, one can use a two-sample t-test. It is okay to perform the inference procedure, but the following assumptions and conditions must be checked.

Assumptions: Independence: The airfares for each coast should be independent of each other. Normality: The populations of airfares for both coasts should be approximately normally distributed .Equal variances: The population variances for both coasts should be equal.

Conditions: Sample sizes: Both samples should be large enough so that the Central Limit Theorem applies. Rule of thumb for t-tests is that the sample size should be at least 30.Random sampling: Both samples should be random .To test if the conditions are met, one can create a boxplot for each coast, check the normal probability plots, perform the F-test to check for equal variances, and check the sample sizes. If the assumptions and conditions are met, a two-sample t-test can be used to determine if there is a significant difference in the costs of airline flights between the west and east coasts to Lincoln, Nebraska.

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The percent of attendance figures that differs from the mean by 1500 persons or more is 6.68%.

From the question above, Mean μ = 10,000

Standard Deviation σ = 1,000

The formula for z-score is :

z = (x-μ) / σ

Where, x = observation

z = z-score

Mean μ = 10,000

Standard Deviation σ = 1,000

From the above formula, let's calculate z-score for x = 11,500

z = (x-μ) / σ

z = (11,500 - 10,000) / 1000

z = 1.5

Now, find the probability of attendance figures that differs from the mean by 1500 persons or more.

P(z ≥ 1.5) = 0.0668

To find the percentage, we need to multiply the above value by 100.

P(z ≥ 1.5) × 100 = 0.0668 × 100 = 6.68%

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Since polygons are similar, the following ratio must be preseved:

By moving the number 20 to the right hand side, we get

which gives

now, by moving -5 to the right hand side, we have

then, x is given by

then, the answer is the second option: 6