Find the mid segment of GH

Find The Mid Segment Of GH

Answers

Answer 1

Answer:

B. 2

Step-by-step explanation:

Based on the Midsegment of a trapezoid theorem:

GH = (BC + FE)/2

9x - 3 = (19 + (5x + 1))/2) (substitution)

9x - 3 = (20 + 5x)/2

Cross multiply

2(9x - 3) = 20 + 5x

18x - 6 = 20 + 5x

Collect like terms

18x - 5x = 20 + 6

13x = 26

Divide both sides by 13

x = 26/13

x = 2


Related Questions

Let f(x) be defined on the positive real numbers as follows:

Start with a number x.
Take the square root of the number and add 3 more than the number you started with.
Square the result and add 2 more than the original number.
Finally, divide the result by 2 more than the square of the original number.

Required:
Write a formula for f(x).

Answers

Answer:

[tex]f(x)=\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]

Step-by-step explanation:

We have to find the formula for f(x)

Let x be the number

According to question

Now,

[tex]\sqrt{x}+x+3[/tex]

Now,

After squaring  we get

[tex](\sqrt{x}+x+3})^2[/tex]

Add x+2 to above result then, we get

[tex](\sqrt{x}+x+3})^2+2+x[/tex]

Then,

[tex]\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]

Therefore, the formula for f(x) is given by

[tex]f(x)=\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]

Installation of a certain hardware takes a random amount of time with a standard deviation of 5 minutes. A computer technician installs this hardware on 64 different computers, with the average installation time of 42 minutes. Compute a 95% confidence interval for the mean installation time. Explain your interval in context.

Answers

Answer:

The 95% confidence interval for the mean installation time is between 40.775 minutes and 43.225 minutes. This means that for all instalations, in different computers, we are 95% sure that the mean time for installation will be in this interval.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96*\frac{5}{\sqrt{64}} = 1.225[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 42 - 1.225 = 40.775 minutes

The upper end of the interval is the sample mean added to M. So it is 42 + 1.225 = 43.225 minutes

The 95% confidence interval for the mean installation time is between 40.775 minutes and 43.225 minutes. This means that for all instalations, in different computers, we are 95% sure that the mean time for installation will be in this interval.

The 95% confidence interval for the mean installation time is (40.775, 43.225) and this can be determined by using the formula of margin of error.

Given :

Standard deviation is 5 minutes. Sample size is 64.Mean is 42 minutes.95% confidence interval.

The following steps can be used in order to determine the 95% confidence interval for the mean installation time:

Step 1 - The formula of margin of error can be used in order to determine the 95% confidence interval.

[tex]M = z \times \dfrac{\sigma}{\sqrt{n} }[/tex]

where z is the z-score, [tex]\sigma[/tex] is the standard deviation, and the sample size is n.

Step 2 - Now, substitute the values of z, [tex]\sigma[/tex], and n in the above formula.

[tex]M = 1.96 \times \dfrac{5}{\sqrt{64} }[/tex]

[tex]M = 1.225[/tex]

Step 3 - So, the 95% confidence interval is given by (M - [tex]\mu[/tex], M + [tex]\mu[/tex]) that is (40.775, 43.225).

The 95% confidence interval for the mean installation time is (40.775, 43.225).

For more information, refer to the link given below:

https://brainly.com/question/6979326

28 decreased by 2.6%

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given

28 decreased by 2.6%

First we need to determine the percentage decrease such as:

Percentage decrease = 2.6% of 28

                                     = 2.6/100 × 28

                                     = 0.026 × 28

                                     = 0.73

New value can be determined using the formula

New vaue = 28 - percentage decrease

                 = 28 - 0.73

                 = 27.27

FOR 20 points

Show your work neatly for each problem.
1. Michelle and Cameron are selling popcorn for a school fundraiser. Michelle sold 10 tins of cheese
popcorn and 8 tins of caramel popcorn for a total of $446. Cameron sold 22 tins of cheese popcorn and
11 tins of caramel popcorn for a total of $803. Write a system of equations to determine the cost one tin
of cheese popcorn and one tin of caramel popcorn. Show all your work.

Answers

Answer:

one tin of cheese $23

one tin of caramel $27

Step-by-step explanation:

let 'x' = cost of cheese tin

let 'y' = cost of caramel tin

10x + 8y = 446

22x + 11y = 803

i multiplied the first equation by -11 and the second by 8 to eliminate the 'y' terms

  -110x - 88y = -4906

+  176x + 88y = 6424

    66x = 1518

     x = 1518 / 66

     x = 23

find 'y':  10(23) + 8y = 446

             230 + 8y = 446

              8y = 216

               y = 27

help me i need help help me help me

Answers

It’s 21 because if u divide you’ll get it again

Kimani says that the slope of the line between points B and C is greater than the slope of the line between points A and B .

Kiara says that the slope of the line between points B and C is the same as the slope of the line between points A and B.

Answers

Answer:

Kiara is correct

.............

Kiara says that the slope of the line between points B and C is the same as the slope of the line between points A and B is Correct.

What is Slope?

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:

From the figure

Slope between A and B = rise/ run 3/3 = 1

and, slope between B and C = 5/5 = 1

So, the slope between A and B is same as the slope between B and C.

Hence, Kiara has correct statement.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ5

What is the simplified form of (-3xy)(5xy-1)?

Answers

Answer:

-15x²y²+3xy

Step-by-step explanation:

((−3x)(y))(5xy−1)

=((−3x)(y))(5xy+−1)

=((−3x)(y))(5xy)+((−3x)(y))(−1)

=−15x²y²+3xy

find the value of x in the equation below.

x+1=6

Answers

X+1=6
Move the constant to the right hand side and change its sing
X=6-1
You subtract the number
X=5
And that’s your solution

The size of a jar of coffee is increased by one 1/5. The new size is later reduced by 1/5
Is the new jar smaller, the same size or larger than the original?

Answers

Answer:

Smaller

Step-by-step explanation:

Example: say the original size is 100

increasing 100 by 1/5 is the same as increasing 100 by 20, so the new size is 120

reducing 120 by 1/5 is the same as reducing 120 by 24, so now the new size is  96.

100>96

What is the value of x in the equation 1/5x - 2/3y = 30, when y = 15?

Answers

Answer:

x = (-150)/49

Step-by-step explanation:

Solve for x:

49 x + 150 = 0

Hint: | Isolate terms with x to the left hand side.

Subtract 150 from both sides:

49 x + (150 - 150) = -150

Hint: | Look for the difference of two identical terms.

150 - 150 = 0:

49 x = -150

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 49 x = -150 by 49:

(49 x)/49 = (-150)/49

Hint: | Any nonzero number divided by itself is one.

49/49 = 1:

Answer: x = (-150)/49

2. The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that he must stop at the first signal is 0.36, the analogous probability for the second signal is 0.54, and the probability that he must stop at at least one of the two signals is 0.65. What is the probability that he must stop at exactly one signal?

Answers

Answer:

0.30

Step-by-step explanation:

Probability of stopping at first signal = 0.36 ;

P(stop 1) = P(x) = 0.36

Probability of stopping at second signal = 0.54;

P(stop 2) = P(y) = 0.54

Probability of stopping at atleast one of the two signals:

P(x U y) = 0.6

Stopping at both signals :

P(xny) = p(x) + p(y) - p(xUy)

P(xny) = 0.36 + 0.54 - 0.6

P(xny) = 0.3

Stopping at x but not y

P(x n y') = P(x) - P(xny) = 0.36 - 0.3 = 0.06

Stopping at y but not x

P(y n x') = P(y) - P(xny) = 0.54 - 0.3 = 0.24

Probability of stopping at exactly 1 signal :

P(x n y') or P(y n x') = 0.06 + 0.24 = 0.30

Find the vertex and focus of the parabola.
x^2 + 4x - 8y + 12 = 0​

Answers

The Vertex is (-2,1)

And the focus is  (-2,3)

Need help don’t know what to do I’m confused

Answers

Im pretty sure it’s D. Y= 0.5x + 3 :)


Find the distance between the two points rounding to the nearest tenth (if necessary).
(4,0) and (0,9)

Answers

Answer:

need a picture hdhxhxhxhx

Kiara tosses four different coins. What is the probability that the coins land with two head and two tails showing?


Group of answer choices


4/8


0


6/8


6/16

Answers

Answer:
4/8



Good luck

Find the length of the line segment formed by the points (2, 3) and (2, 5)

Answers

Answer:

2 units

Step-by-step explanation:

Given data

The points are  (2, 3) and (2, 5)

x1= 2

y1= 3

x2= 2

y2= 5

substitute into the distance between two points formula

d=√((x_2-x_1)²+(y_2-y_1)²)

d=√((2-2)²+(5-3)²)

d=√(2)²)

d=√4

d= 2 units

Hence the length is 2 units

1.488 divided by 2.1 rounded to nearest tenth

Answers

The answer should be 0.70

Michael has 12 yards of yellow fabric and 6 yards of purple fabric. how many inches of yellow and purple fabric does Kelly have.​

Answers

Answer:

648 inches

Step-by-step explanation:

12 + 6 = 18 yards

there are 36 inches in 1 yard

so there is 648 inches in 18 yards

Answer:

she has 18 yards of fabric all together

Which are equations? Check all that apply.

Answers

Answer:

numbers 1,4,6,7 are all equations

Step-by-step explanation:

just look for the equal sign if there's no equal sign then its an expression not an equation

Answer:

All of the equations are the ones with the equal signs (=)

I hope this helps!

I need help please.

Answers

Answer:

D 18 percent

Step-by-step explanation:

So a percent s out of a hundred and you have 50 so it is more easy to double everything and make it a hundred

the equation should be 18 is what percent of 100 which is the same thing as 18/100

18 divided by 100 is .18

If you Start with $10 in the bank and each month you add $20 which line equation will give you your total amount after X months?

Answers

Answer:

y=20x+10

Step-by-step explanation:

You start with $10, so this will be added on, and is not affected by the number of months.

You add $20 each month, so the 20 is dependant on x.

ANSWER: y=20x+10

what is the slope intercept form of 7x-5y=15?​

Answers

Answer:

y=7/5x-3 is the slope intercept form

I need help... plssss :))

Answers

Answer:

(1, -1), (1, -2), (2, -3), (2, -4)

NO

Step-by-step explanation:

✔️Each ordered pair is written as (input, output).

Thus, we would have the following:

(1, -1), (1, -2), (2, -3), (2, -4)

✔️This cannot be a function because every input value do not have exactly one output value related to it. A function should not have an input value related to more than one output value.

So, the answer is NO. It is not a function.

y = 3.915(1.106)x.
In terms of the water lily population change, the value 3.915 represents:

Answers

Answer: the initial number of water lily’s

Step-by-step explanation:

the value 1.106 represents the population increase rate

edge 2021

The value 3.915 represents the initial population of water lilies

Expoenential equations

The standard exponential equation is given as y = ab^x

where;

a is the initial populationb is the rate (growth or decline)

Given the exponential equation y = 3.915(1.106^x

On comparison, we can see that;

a  = 3. 915

This shows that the value 3.915 represents the initial population of water lilies

Learn more on exponential equation here: https://brainly.com/question/2456547

Which system of linear equations appears to have a solution of (3,0)?

Answers

Answer:

C

Step-by-step explanation:

Simplify: x^2-16/x-4 What does the given expression simplify to? What is the excluded value of x for the given expression?

Answers

Step-by-step explanation:

Difference of Squares: a² - b² = (a + b)(a - b)

(x² - 16) / (x - 4)

= [(x + 4)(x - 4)] / (x - 4)

= x + 4, where x =/= 4.

Answer:

1.    (x+4)

2.     4

Step-by-step explanation:

got right on edge

Find the percent of a number 20% of 155​

Answers

Answer: 31


Explanation:

1. Turn 20% into a decimal (0.20)

2. Multiply 155 by 0.2 to get the answer (155×0.2=31)

Hey there!

[tex]\text{The word \underline{of} means \underline{multiply} in \underline{mathematical terms}}[/tex]

[tex]\bold{Equation: 20\% \times 155}\\\bold{20\% = \dfrac{20}{100}=\dfrac{20\div20}{100\div20}=\dfrac{1}{5}}\\\bold{\dfrac{1}{5}\times 155=?}\\\bold{155\times1=155}\\\\\bold{\dfrac{155}{5}=31}\\\boxed{\boxed{\bold{Answer: 31}}}\huge\checkmark[/tex]

Good luck on your assignment and enjoy your day!

~[tex]\frak{Amphitrite1040:)}[/tex]

Find the indicated term of each sequence by repeatedly multiplying the first term by the common ratio.
Enter your answer to 5 decimal places if necessary. Use a calculator.
A
-50, 35, -24.5,..;5th term
The 5th term of the sequence is 70

Answers

Answer:

Step-by-step explanation:

The first term here is -50 and the common ratio is 0.70.  Note that the second term is 0.70(50) = 35.

The formula a(n) = a(0)*r^(n -1) becomes  a(n) = -50*0.70^(n -1), and so

the 5th term is a(5) = -50*0.70^4 = -12.005

A professor in one city earns $61,000 a year. A bioengineer earns $95,750. A nurse earns $50,600. What is the difference in salary between the professor and nurse?

Answers

Answer:

The difference is 10,400$.

Step-by-step explanation:

$61,000-$50,600=$10,400

(GIVING BRAINLYIST) 3 pizzas are shared equally between 10 people. what fraction of a pizza does each person receive. show your work on a image or on paper with using fraction models! thank you for your help :D

Answers

Answer:

2 2/5

Step-by-step explanation:

3 pizzas are equal to 24 slices. if there 10 each person can get 2.4 or 2 2/5

Answer:

3/10 of the pizza is given to each person

Step-by-step explanation:

total number of people= 10

number of pizzas=3

as a fraction, this would be 3/10

you can also use this as 30 out of 100 if that's easier to understand.

Hope this helps ༼ つ ◕_◕ ༽つ

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