Helppp pleaseeeeeee!!!!!!!!!!!!!!!!

The scale factor of the dilation of the triangles is 2

From the question, we have the following parameters that can be used in our computation:

The similar triangles

The scale factor of the dilation is the division of the corresponding sides

So, we have

Scale factor = 6/3

When evaluated, we have

scale factor = 2

Hence the scale factor is 2

Read more about scale factor at

https://brainly.com/question/29229124

#SPJ1

The solution to the inequality is:

x ∈ (-∞, -21].

The correct option is F.

To solve the given inequality, we'll first simplify the expression:

23 < 3x - 3 ≤ -66

To simplify the inequality,

23 < 3x - 3 ≤ -66

Adding 3 to all parts of the inequality:

23 + 3 < 3x - 3 + 3 ≤ -66 + 3

Simplifying:

26 < 3x ≤ -63

Next, divide all parts of the inequality by 3:

26/3 < 3x/3 ≤ -63/3

Simplifying:

8.67 < x ≤ -21

Therefore, the solution to the inequality is:

x ∈ (-∞, -21]

Learn more about Inequality here:

https://brainly.com/question/20383699

#SPJ4

the percentage of test scores between 77 and 87 is 64.5%.

To find the percentage of test scores that are above a certain value or between two values in a normal distribution, we can use the Z-score and the standard normal distribution table.

a) Percentage of test scores above 87:

First, we need to calculate the Z-score for the value 87 using the formula:

Z = (X - μ) / σ

where X is the value, μ is the mean, and σ is the standard deviation.

Z = (87 - 84) / 5

Z = 0.6

Using the standard normal distribution table or calculator, we can find the percentage corresponding to a Z-score of 0.6. The table indicates that the percentage is approximately 72.6%.

Therefore, the percentage of test scores above 87 is 72.6%.

b) Percentage of test scores between 77 and 87:

We need to calculate the Z-scores for the values 77 and 87 using the same formula as above.

For 77:

Z = (77 - 84) / 5

Z = -1.4

For 87:

Z = (87 - 84) / 5

Z = 0.6

Using the standard normal distribution table or calculator, we can find the percentages corresponding to the Z-scores of -1.4 and 0.6, respectively. The table indicates that the percentage corresponding to -1.4 is approximately 8.1% and the percentage corresponding to 0.6 is approximately 72.6%.

To find the percentage between these two values, we subtract the smaller percentage from the larger percentage:

Percentage between 77 and 87 = 72.6% - 8.1%

Percentage between 77 and 87 = 64.5%

To know more about percentage visit:

brainly.com/question/16797504

#SPJ11

Answer:

The average height difference between randomly selected girls and boys is 5.5 inches. The standard deviation of the difference in height is about 4.18808 inches.

Step-by-step explanation:

Just subtract the girls' average from the boys' average to find the average difference between any girl and boy.

Calculate the variance from the given standard deviations (square the SD). Add the variances and find the square root of that sum. (SD = square root of Var).

The standard deviation is only able to be calculated when the two variables are independent.

The variances are added and not subtracted because finding a different average doesn't mean that the data that is being observed also has a different deviation (also there isn't really a situation where you would subtract the Var).

using the first 8 terms of the series (i.e. n=3) is not enough to ensure an accuracy of within 0.0001. We need to use at least the first 15 terms of the series to achieve this level of accuracy.

(a) To show that the series converges, we can use the ratio test:

lim n→∞ |(3(2n+3)+1)/(3(2n+1)+1)| = 3/2 < 1

Since the limit is less than 1, the series converges.

(b) The sum of the series can be shown to be π/4. Therefore, the series converges to π/4.

To estimate the value of π/4 using a partial sum, we can use the formula for the nth partial sum:

Sn = 3/2 + 5/4 + 7/6 + … + (2n+1)/(2n)

We want to find the smallest value of n such that |Sn - π/4| < 0.0001. Using the fact that arctan(1) = π/4, we can write:

|Sn - π/4| = |arctan(1) - arctan(2n+1)|

By the mean value theorem, there exists a value c between 1 and 2n+1 such that:

arctan(2n+1) - arctan(1) = (2n)/(1+c^2)

Therefore, we need to find the smallest value of n such that:

(2n)/(1+c^2) < 0.0001

Since c is between 1 and 2n+1, we can use the upper bound 2n+1 for c:

(2n)/(1+(2n+1)^2) < 0.0001

Solving for n, we get:

n > (49999/80000)

To learn more about converges click here

brainly.com/question/15415793

#SPJ11

Answer:

y = 7

Step-by-step explanation:

The equation of a horizontal line is worth memorizing. It is:

y = anumber

(and just in case for future reference the equation of a vertical line is

x= anumber)

Well, you are given one point (3,7).That is in the form (x,y). So x is 3 and y is 7.

y is 7

y = 7

(if it helps...horizontal lines have 0 slope. So m = 0. The equation in point-intercept form is

y = mx + b

y = 0x + b

y = b this is the y= anumber) originally mentioned here)

Answer:

Step-by-step explanation:

28/7=4

4 teams

Answer:

((I do not have the answers for one, two, or four))

3.)

•What do you know?

-It’s about 425 miles from San Jose to Los Angeles and 320 miles from San Jose to Santa Barbara.

•What do you want to find out?

-How many miles it is from Santa Barbara to Los Angeles.

•What kind of answer do you expect?

-If using variable, I expect that I will get the number of miles from one city to the other.

5.)

425 = 320 + X

6.)

425 = 320 + X

Subtract 320 from both sides.

7.)

X = 105

From Santa Barbra to Los Angeles it is 105 miles.

8.)

320 + 105 = 425

The z-scores for the middle 68% of the normal distribution are -1.0 and +1.0, for the middle 95% are -2.0 and +2.0, and for the middle 99.7% are -3.0 and +3.0.

a) The z-scores for the middle 68% of the normal distribution are -1.0 and +1.0. This means that 68% of the data falls between the mean and 1 standard deviation above and below the mean. The formula for calculating z-scores is z-score = (x - μ) / σ, where x is the data point, μ is the mean and σ is the standard deviation.

b) The z-scores for the middle 95% of the normal distribution are -2.0 and +2.0. This means that 95% of the data falls between the mean and 2 above and below the mean. The formula for calculating z-scores is z-score = (x - μ) / σ, where x is the data point, μ is the mean and σ is the standard deviation.

c) The z-scores for the middle 99.7% of the normal distribution are -3.0 and +3.0. This means that 99.7% of the data falls between the mean and 3 standard deviations above and below the mean. The formula for calculating z-scores is z-score = (x - μ)/ σ, where x is the data point, μ is the mean and σ is the standard deviation.

The z-scores for the middle 68% of the normal distribution are -1.0 and +1.0, for the middle 95% are -2.0 and +2.0, and for the middle 99.7% are -3.0 and +3.0.

Learn more about normal distribution here:

https://brainly.com/question/29509087

#SPJ4

Answer:

The answer to your problem is C. Each column will be the same height.

Step-by-step explanation:

If the mode will refers to the most occurring number.

And shown there are five within a data set that is 4 wide, so there will be 5 columns of equal length.

Thus the answer to your problem is, C. Each column will be the same height.

Answer:

$6.60 for the tip | $39.60 in total :)

Step-by-step explanation:

Answer:

suff so ican post the answer $6.60

Answer:

It would be 192

Answer:

for the first one: x = -25/3 or -8.333333

for the second one: x = 29-8y/9

Step-by-step explanation:

for the first one:

add 8 to both sides 3x=-33 + 8

simplify -33+8 to -25

divide both sides by 3

which gives you -25/3 or 8.333333

for the second one:

subtract 8y from both sides 9x=29-8y

divide both sides by 9

which gives you x= 29-8y/9

Answer:

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

\(\Large \boxed{\sf y = - 2x + 9}\\\\\sf Use\ the\ slope\ formula\ to\ find\ the\ slope\\ using\ two\ points\ from\ the\ graph.\\\\(0,9)\ and\ (4.5,0)\\\\\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}=\frac{0-9}{4.5-0} =-2\\\\The\ line\ intercepts\ at\ the\ y-axis\ at\ (0,9).\\ The\ y-intercept\ is\ b=9.\\\\ y=mx+b\\y=-2x+9\)

Answer:

Step-by-step explanation:

radius of base=8/2=4 ft

l²=4²+9²=16+81=97

l=√97 ft

Answer:

10

Step-by-step explanation:

60-50 I hope this helps have a nice day:)

Answer:

15- 12.27 = 2.73

2.73 is how much she spent on the ribbon.

2.73/ 0.21 = 13

She purchased 13 yards.

Answer:

approximately 1008.4057 rotations

Step-by-step explanation:

I asked my teacher

Answer:

Through pythogoras theorem

a^2+b^2=c^2

20^2+16^2=c^2

c^2=400+256

c^2= 656

c= square root of 656

c=25.6 inches or 30 inches

Missing side 25.6 inches or 30 inches

c^2 = a^2 + b^2

c^2 = 16^2 + 20^2

c^2 = 256 + 400

c^2 = 656

Now, square root both sides to find the missing length of c or the hypontenuse.

By using the concept of ratio, money saved by Tatiana = $300

Money saved by Genesis = $100

Two quantities of the same units are compared to see how much of one quantity there is in the other; this comparison is called a ratio. Two categories of ratios can be distinguished. Part to whole ratio and part to part ratio are the two types of ratios.

Given that,

The ratio of Tatiana's savings to Genesis' savings is 3:1.

Total money saved by them = $400

Let the money saved by Tatiana be 3x

and money save by genesis be x.

3x+x = 400

4x = 400

x = 400/4

x = 100

so,

money saved by Tatiana will be = 3(100)

money saved by Tatiana will be = $300

money saved by genesis will be =$100

To learn more about ratios, visit:

https://brainly.com/question/23724140

#SPJ4

In an isosceles triangle, the base angles are congruent. Let's denote the base angle as θ. We can use the trigonometric relationship between the sides and angles of a right triangle to find the value of θ.

In this case, we have an isosceles triangle with legs of length 30 and an altitude to the base of length 20. The altitude forms a right triangle with one leg equal to half the base (15) and the hypotenuse equal to one of the legs (30).

Using the trigonometric relationship sine (sin), we can write:

sin(θ) = opposite/hypotenuse

sin(θ) = 20/30

sin(θ) = 2/3

To find the value of θ, we can take the inverse sine (sin^(-1)) of both sides:

θ = sin^(-1)(2/3)

Using a calculator, we find:

θ ≈ 41.81 degrees

Therefore, the nearest degree of a base angle of the isosceles triangle is 42 degrees.

Learn more about trigonometric here:

https://brainly.com/question/29156330

#SPJ11

Answer: 33.6

Step-by-step explanation:

Answer:

33.6

Step-by-step explanation:

First, let's multiply 8.4 by 100.

This gives us the number 840.

Next, divide 840 by 25.

That gives us 33.6, our final answer.

Answer:

7a^4b^2 -9a^2b^2x^2

Step-by-step explanation:

Given (2a²b)² +3(a²b)²-x²(-3ab)²​

Recall that (xy)^a = x^a * y^a

Hence (2a²b)² +3(a²b)²-x²(-3ab)²​

expanding the expression

= (2^2 *a^2+2 *b^2) + 3(a^2+2*b^2) - x^2(-3^2 * a^2b^2)

= 4a^4b^2 + 3a^4b^2 - x^2(9a^2b^2)

simplify

= 7a^4b^2 -9a^2b^2x^2

Answer:

5,400.00

Step-by-step explanation:

hope this helps

Deshawn's marginal benefit if he sells a basic detailing package is: $15

A marginal advantage or benefit is a modest but demonstrable benefit that a buyer receives by purchasing an additional unit of an item or service.

As a customer decides to consume more of a single commodity, the marginal benefit typically decreases.

The following information about a car detailing service is given,

(a) The marginal advantage  or benefit is the extra benefit obtained by selling an additional unit. Because the detailing package costs $75, the profit from selling an extra item is $75. If DeShawn sells the standard bundle, the marginal benefit is $75.

(b) The marginal cost is the incremental cost of generating one more unit of output.

Because the worth of the detailing car's engine adds $20 to the bill.  As a result, the marginal cost of include engine detailing in the basic detailing package is $20.

(c) Compare the marginal benefit and marginal cost of offering engine detailing service to decide whether to give engine detailing service. The marginal cost of engine detailing service is twenty dollars.

DeShawn provides this service as part of the base package for S90, thus the marginal benefit is $15 [=$90 - $75].

DeShawn should not provide engine detailing services since the marginal benefit is less than the marginal expense of doing so.

Learn more about Marginal Benefit:
https://brainly.com/question/2508491
#SPJ4

ANSWERS:

A. 0.28 ( 28.41% )
B. 89.29%

EXPLANATIONS:

(a) The probability of a randomly chosen U.S. adult investing in both stocks and fixed income instruments is given as 0.25. The probability of a U.S. adult investing in fixed income instruments is 0.88. Using the formula for conditional probability, we have:

P(invests in stocks | invests in fixed income instruments) = P(invests in both stocks and fixed income instruments) / P(invests in fixed income instruments)

= 0.25 / 0.88

= 0.2841 (rounded to the nearest hundredth)

Therefore, the probability that a randomly chosen U.S. adult invests in stocks, given that he or she invests in fixed income instruments is 0.28 (rounded to the nearest hundredth).

To convert A to a percentage, simply multiply it by 100:

A = 0.2841

A as a percentage = 0.2841 x 100% = 28.41% (rounded to two decimal places)

(b) The probability of a randomly chosen U.S. adult investing in both stocks and fixed income instruments is 0.25, and the probability of a U.S. adult investing in stocks is 0.28. Using the formula for joint probability, we have:

P(invests in both stocks and fixed income instruments) = P(invests in stocks) × P(invests in fixed income instruments)

= 0.28 × 0.88

= 0.2464

The probability that a randomly chosen stock investor also invests in fixed income instruments is 0.25 / 0.28 = 0.8929 (rounded to the nearest hundredth), which is equivalent to 89.29%.