Triangle ABC is shown below (or above) What is the length of the segment AC?A. 7B. 9C. 14D. 18

Answer:

33

Step-by-step explanation:

replace n with 11 and multiply 3x11

Answer:

Step-by-step explanation:

The standard deviations of the data are different.

The formula used to calculate the standard deviation of data is given by

x - mean of the data and n = number of observations

Here we have

(a) 4, 5, 11, 13, 13, 14

Mean of the data = [4 + 5 + 11 + 13 + 13 + 14 ]/6 = 60/6 = 10

On calculating deviations

=> ∑(x\(_{i}\) - x)² = 96

=> √[ ∑(x\(_{i}\) - x)²/n ] = √[ 96/ 6 ] = 4    

(b) 5, 7, 10, 10, 13, 15

Since the mean of the data is equal for all  

On calculating deviations

=> ∑(x\(_{i}\) - x)² = 68

=> √[ ∑(x\(_{i}\) - x)² /n ] = √[ 68/ 6 ] = 3.36

(c) 3, 10, 11, 11, 12, 13

On calculating deviations

=> ∑(x\(_{i}\) - x)² = 64

=> √[ ∑(x\(_{i}\) - x)² /n ] = √[ 64/ 6 ] = 3.26  

Therefore,

The standard deviations of the data are different.

Learn more about Standard deviations at

https://brainly.com/question/23907081

#SPJ1

Answer:

Morgan is the correct answer.

Step-by-step explanation:

See it cant be kelly or miles and it wouldnt  make sense for Esmeralda.

Based on the domain, the equation of the function f(x) is F(x - h) = x^2 - 2xh + h^2 + 2

The domain of the function is the set of input values of the graph

The equation of the function is given as

F(x) = x^2 + 2

The required function is given as

F(x - h)

The above means that the value of x in the function F(x) = x^2 + 2 is x - h

i.e.

x = x - h

So, we substitute x - h for x in the equation F(x) = x^2 + 2

This gives

F(x - h) = (x - h)^2 + 2

Evaluate the exponent

So, we have

F(x - h) = x^2 - 2xh + h^2 + 2

The above equation cannot be further simplified

Hence, the solution of the function f(x) at the given domain is F(x - h) = x^2 - 2xh + h^2 + 2

Read more about domain at

https://brainly.com/question/2264373

#SPJ1

It is not possible to find a combination using addition and multiplication of the given single-digit numbers that totals exactly 100 while keeping the same order.

To combine the single-digit numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 using only addition and multiplication so that they total 100 while keeping the same order, we can form the following expression:

1 + 2 + 3 + 4 + 5 + 6 + 78 + 9

In this expression, we group the numbers 7 and 8 together to form 78. Then, we add all the other numbers from 1 to 6 and the number 9. Adding them up, we get:

1 + 2 + 3 + 4 + 5 + 6 + 78 + 9 = 108

Unfortunately, the sum obtained from this expression is 108, not 100 as required.

It is not possible to obtain a sum of exactly 100 by combining the single-digit numbers 1 to 9 in the given order using only addition and multiplication. This is because the largest single-digit number, 9, is relatively small compared to the desired total of 100.

Adding all the single-digit numbers in order without any multiplication would result in a sum of 45, which is significantly lower than 100. Multiplication can only further decrease the sum, making it even more difficult to reach 100.

For more such question on combination visitr;

https://brainly.com/question/28065038

#SPJ8

Answer:

8 1/4

Step-by-step explanation:

Sould be your anwser.

The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

4x + 2(4x - 7) = -2

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

for such more question on system of equations

https://brainly.com/question/4262258

#SPJ8

Answer:

yes

Step-by-step explanation:

12+3=5x-3+3

15=5x

15=5(3)

15=15

We have the following:

Therfeore, the answer is 2,733

The slope of the line passing through the points (-6, 1) and (8, -7) is -4/7.

Slope is simply expressed as change in y over the change in x.

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given the data in the question;

Point A: ( -6,1 )

x₁ = -6

y₁ = 1

Point B: ( 8,-7 )

x₂ = 8

y₂ = -7

Now, plug the given x and y values into the slope formula above and simplify:

\(Slope\ m = \frac{y_2 - y_1}{x_2 - x_1} \\\\Slope\ m = \frac{-7 - 1}{8 - (-6)} \\\\Slope\ m = \frac{-7 - 1}{8 + 6} \\\\Slope\ m = \frac{-8}{14} \\\\Slope\ m = -\frac{4}{7}\)

Therefore, the slope of the line is -4/7.

Learn more about slope formula here: brainly.com/question/24578307

#SPJ1

Answer:

To calculate the percent decrease in the number of rejected items, we can use the following formula:

Percent decrease = ((initial value - final value) / initial value) x 100

In this case, the initial value is 372 (the number of items rejected in the first period) and the final value is 323 (the number of items rejected in the second period).

So, the percent decrease is:

((372 - 323) / 372) x 100 = 13.1%

Therefore, there is a 13.1% decrease in the number of rejected items from the first period to the second period.

Simple interest typically favors consumers who pay their bills or loans on time or early each month because it is frequently calculated on a daily basis. The loan's simple interest rate is 4.5%.

Simple interest typically favors consumers who pay their bills or loans on time or early each month because it is frequently calculated on a daily basis.

In the aforementioned student loan example, if you paid a $300 payment on May 1st, $238.36 would be applied to the principle. On April 20, if you made the same payment, $258.91 would be applied to the principal. Your main balance will decrease more quickly and the loan will be paid off faster than anticipated if you can make an early payment every month.

On the other hand, if you pay the loan back late, you pay more in interest than if you pay it on time. If your payment is due on May 1 and you make it on May 16 (using the same car loan example), you will be charged interest for 45 days at a cost of $92.46. Consequently, only $207.54 of your $300 payment is applied to the principal. If you frequently make late payments over the course of a loan, your final payment will be more than anticipated because the principal did not decrease at the anticipated rate.

Principal amount,

P=$5000

Future value,

A=$5900

Time,

t=4years

Let us determine the loan's simple interest rate:

A=P(1+rt)

5900=5000(1+r*4)

5900=5000(1+4r)

5900=5000*1+5000*4r

5900=5000+20000r

5900−5000=20000r

900=20000r

20000r=900

r=900/20000

r=9/200

r=0.045

r=0.045/100%

r=4.5%

Therefore, the loan's simple interest rate is 4.5%.

To know more about simple interest visit: https://brainly.com/question/25845758

#SPJ9

Using Scale Factor, the value of x = 33.6.

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).

Scale factor = Dimension of the new shape / Dimension of the original shape is the fundamental formula used to calculate it.

The formula is expressed as Scale factor = Larger figure dimensions Smaller figure dimensions in the event that the original figure is enlarged.

Dimension of the large triangle divided by the little triangle is the formula to utilize.

Based on the accompanying figure,

The little triangle's corresponding side length is 28, whereas the giant triangle's side length is x.

Scale factor = 6/5 Scale factor = 6/5 = 28

x = 33.6

To learn more about Scale factor from given link

https://brainly.com/question/19936821

#SPJ1

Complete Question -

If the figures below are similar with a scale factor of 6:5, find the value of x

Answer:

D. translation described by (x, y) → (x, y-6)

Step-by-step explanation:

The triangle stays in the same orientation just in a diffrent spot on the graph, that spot being 6 units down from where it starts.

Answer:

21

Step-by-step explanation:

what are the best ways for your business and how do they get neck debt from the air and to get rid from a good or

Answer:

\(\sf 1. \quad \dfrac{3}{8}\)

\(\sf 2. \quad \dfrac{7}{24}\)

Step-by-step explanation:

Spinner 1 is divided into 6 congruent sections.

There are 3 red sections, 2 blue sections and 1 yellow section.

Therefore, the probability of spinning each of the three colors is:

    \(\bullet \quad \sf P(R_1)=\dfrac{3}{6}=\dfrac{1}{2}\)

    \(\bullet \quad \sf P(B_1)=\dfrac{2}{6}=\dfrac{1}{3}\)

    \(\bullet \quad \sf P(Y_1)=\dfrac{1}{6}\)

Spinner 2 is divided into 3 sections of differing sizes.

The red section is half of the spinner. The blue and yellow sections are quarters of the spinner.

Therefore, the probability of spinning each of the three colors is:

    \(\bullet \quad \sf P(R_2)=\dfrac{1}{2}\)

    \(\bullet \quad \sf P(B_2)=\dfrac{1}{4}\)

    \(\bullet \quad \sf P(Y_2)=\dfrac{1}{4}\)

If each spinner is spun once, then:

The probability that both spinners both show red is:

\(\sf P(R_1)\;and\;P(R_2)=\dfrac{1}{2} \times \dfrac{1}{2}=\dfrac{1}{4}\)

The probability that both spinners both show blue is:

\(\sf P(B_1)\;and\;P(B_2)=\dfrac{1}{3} \times \dfrac{1}{4}=\dfrac{1}{12}\)

The probability that both spinners both show yellow is:

\(\sf P(Y_1)\;and\;P(Y_2)=\dfrac{1}{6} \times \dfrac{1}{4}=\dfrac{1}{24}\)

Therefore, the probability that both spinners show the same colour is:

\(\sf P(R_1\;\&\;R_2)\;or\;P(B_1\;\&\;B_2)\;or\;P(Y_1\;\&\;Y_2)=\dfrac{1}{4}+\dfrac{1}{12}+\dfrac{1}{24}=\dfrac{9}{24}=\dfrac{3}{8}\)

If each spinner is spun once, the probability of getting a red from spinner 1 and a blue from spinner 2 is:

\(\sf P(R_1)\;and\;P(B_2)=\dfrac{1}{2} \times \dfrac{1}{4}=\dfrac{1}{8}\)

The probability of getting a blue from spinner 1 and a red from spinner 2 is:

\(\sf P(B_1)\;and\;P(R_2)=\dfrac{1}{3} \times \dfrac{1}{2}=\dfrac{1}{6}\)

Therefore, the probability of getting a red-blue combination is:

\(\sf P(R_1\;\&\;B_2)\;or\;P(B_1\;\&\;R_2)=\dfrac{1}{8}+\dfrac{1}{6}=\dfrac{7}{24}\)

Answer:

28

Step-by-step explanation:

I guess bicause that is te variable.

The dimensions of the rectangular garden which minimize the cost is equal to 9.6ft and 14.6ft respectively.

As given in the question,

Cost of brick wall is equal to $40/ft

Cost of metal fencing is equal to $20/ft

Let 'x' and 'y' are the dimensions of the rectangular garden

Area of the rectangular garden = 142 square feet

⇒ 142 = xy

⇒x = 142/y

Costing of four side fencing 'C' = 40x + 20x + 20y + 20y

⇒ C = 60x + 40y

⇒C = 60(142/y) + 40y

⇒C = 8520/y + 40y

Differentiate with respect to y

dC/dy = -8520/ y² + 40

Put dC/dy = 0

-8520/ y² + 40 = 0

⇒y² = 8520/40

⇒y = √213

⇒ y= 14.6 ft

⇒ x= 142/14.6

     = 9.7 ft

Therefore, the dimensions of the rectangular garden with the given area which minimize the cost is equal to 14.6ft and 9.7ft.

Learn more about rectangular here

brainly.com/question/21416050

#SPJ4

According to the unitary method,

A) The time taken for Peter to finish the job alone is 4 hours, 48 minutes.

B) The time taken for Emily and Peter to finish the job together is 2 hours, 36 minutes.

Unitary method:

In math, unitary method refers the process of finding the value of a single unit, and based on this value.

Given,

Emily, Ashley and Peter can clean a warehouse in 2 hours. If Emily does the job alone, she can finish it in 6 hours. If Ashley does the job alone she can finish it in 8 hours.

Here we need to find the following:

A) The time take for Peter to finish the job alone

B) The time taken for Emily and Peter to finish the job together

Let us consider x be the time taken for Peter to finish the job alone.

So, based on the given question we can write it as,

=> 1/6 + 1/8 + 1/x = 1/2

=> (8 + 6)/48 + 1/x = 1/2

=> 14/48 + 1/x = 1/2

=> 7/24 + 1/x = 1/2

=> 1/x = 1/2 - 7/24

=> 1/x = 12 -7/24

=> 1/x = 5/24

=> x = 24/5

=> x = 4.8

So, the time taken for Peter to finish the job alone is 4 hours, 48 minutes.

Then the time taken for Emily and Peter to finish the job together is calculated as,

=> 5/24 + 1/6

=> 5 + 4/ 24

=> 9/24

=> 3/8

Therefore, the time taken for Emily and Peter to finish the job together 2 hours, 36 minutes.

To know more about Unitary method here.

https://brainly.com/question/28276953

#SPJ1

The slope of this line is equal to -1/5.

An equation of the line in slope-intercept form that goes through the point (-5,-4) and is perpendicular to 5x - y = 1 is y = -x/5 - 2.

Mathematically, the standard form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

From the information provided, we have the following:

5x - y = 1. Therefore, the slope, m is equal to 5.

In Mathematics, a condition that must be met for two lines to be perpendicular is given by:

m₁ × m₂ = -1

5 × m₂ = -1

m₂ = -1/5

At point (-5, -1), an equation of this line can be calculated by using the point-slope form:

y - y₁ = m(x - x₁)

y - (-1) = -1/5(x - (-5))

y + 1 = -x/5 - 1

y = -x/5 - 1 - 1

y = -x/5 - 2

Read more on slope here: brainly.com/question/3493733

#SPJ1

\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)

\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)

\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)

\( \sf \longrightarrow \: \: 100n =20\\ \)

\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)

\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)

Answer:-

To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:

Step 1: Distribute the 5 on the left side:

\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)

Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:

\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)

\(\sf 5n = 1 \\\)

Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):

\(\sf \frac{5n}{5} = \frac{1}{5} \\\)

\(\sf n = \frac{1}{5} \\\)

Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

2

Step-by-step explanation:

1+1=2

The range of the absolute function will be from 0 to 9. Then the correct option is A.

The absolute function is also known as the mode function. The value of the absolute function is always positive.

If the vertex of the absolute function is at (h, k). Then the absolute function is given as

f(x) = | x - h| + k

The domain means all the possible values of x and the range means all the possible values of y.

From the graph, the range of the absolute function will be from 0 to 9.

Then the correct option is A.

More about the absolute function link is given below.

https://brainly.com/question/10664936

#SPJ1

The complete question is attached below.

Answer:

m*   =   d**

1   =   $80

2   =   $160

3   =   $240

4 = $320

*months

**Dollars ($)

Step-by-step explanation:

If it costs 80 per month then you times 80 by the number of months you want to work out. For example, you want to work out the cost of going to karate class for 3 months, and it costs $80 per month. Then you do $80 × 3 = $240.

Answer:

\(-\frac{21}{10}\)   is the required multiplicative inverse.

Step-by-step explanation:

First of all simplify the given expression.

\(\frac{2}{3}\cdot \frac{-5}{7}=-\frac{2\cdot \:5}{3\cdot \:7}=-\frac{10}{21}\)

Multiplicative inverse of any number when multiplied gives 1.

The multiplicative inverse of  \(-\frac{10}{21}\)  is \(-\frac{21}{10}\)  because:

\(-\frac{10}{21}\times -\frac{21}{10}=1\)

Best Regards!

Probabilities are used to determine the chance of an event.

The game is based on compound probability.

From the question, we have the following events.

When multiple events are involved in a probability, then such probability is a compound probability.

Hence, the game is based on compound probability.

Read more about probabilities at:

https://brainly.com/question/2967139

Answer:

  2.  Tenths place

Step-by-step explanation:

When you're concerned with the precision of a sum, the final value must be rounded to the precision of the least-precise contributor.

The numbers contributing to this sum are ...

  7.273, with least significant digit in the thousandth's place.

  -12.4, with least significant digit in the tenths place.

The smaller the place value of the least significant digit of a number, the greater the precision it has. The least-precise number will have the largest place value of its least-significant digit.

  tenths > thousandths, so -12.4 has less precision

First of all, we compute the sum as though every contributor were exact. This is especially important when there are more than two contributors. With only two contributors, you get the same result if you round the more precise number first.

  7.273 -12.4 = -5.127 . . . . . preferred method of finding the sum

  7.3 -12.4 = -5.1 . . . . . . . . . . alternate approach for 2 contributors

Finally, we round that sum to the nearest tenth, reflecting the precision of -12.4:

  sum = -5.1

__

Additional comment

As a general rule, this fixation on precision applies to quantities that are measured, estimated, or rounded.

For example, it doesn't make much sense to report a financial value to the penny if one of the contributors has already been rounded to the nearest hundred-thousand dollars. The amount could already be in error by up to $50,000, so precision to the penny is meaningless.

When working many kinds of problems, it can be useful to report answers to the same precision used for the problem values. In some cases, you are told exactly what precision to use for an answer (nearest integer, tenth, or hundredth). Where you are not told, it usually doesn't make much sense to use 6 significant digits for an answer to a problem with values given as one significant digit. However, it can be sensible to report the answer to 2 or 3 significant digits.

__

Here (in this problem), we're concerned with a sum. When you are computing a product or ratio, the rules are different. In those cases, the (least) number of significant digits in the contributors will determine the number of significant digits in the answer. Where mixed arithmetic (products and sums) is involved, the rounding of the final answer will depend on the final operation:

  a(b+c) . . . the final operation is multiplication

  ab +ac . . . the final operation is addition

As with all computation, the intermediate results should be carried to full calculator precision (unless directed otherwise). Only the final answer should be rounded to the necessary precision.

The child will have $9.92 in his piggy bank.

What is basic arithmetic operations?

Basic arithmetic operations are the foundation of mathematics and include addition, subtraction, multiplication, and division. These operations are used to perform mathematical calculations and are necessary for solving a wide range of problems, from simple arithmetic problems to more complex mathematical equations.

The child has $9.30 and spends $0.13 on a snow cone, so their piggy bank balance becomes $9.30 - $0.13 = $9.17.

After finding $0.75 to put in the piggy bank, the child now has $9.17 + $0.75 = $9.92 in their piggy bank.

Hence, the child will have $9.92 in his piggy bank.

To learn more about basic arithmetic operations, visit:

https://brainly.com/question/4721701

#SPJ1

Answer:

$544

Step-by-step explanation:

To determine the original price of the DVD player considering that you know that it had a 75% reduction, you can use a rule of three as the price of $136 represents 25% of the original price and with this you can calculate the price that represents 100%:

$136 → 25%

  x    ← 100%

x=(136*100)/25=$544

According to this, the answer is that the original price of the DVD player was $544.