What is the total area, in square inches, of the shaded sections of the trapezoid below?

Step-by-step explanation:

the area is

baseline × height.

remember, 2 lengths are multiplied.

since both figures are similar to each other, it means that both lengths are changed by the same scaling factor.

18 × f = 63

f = 63/18 = 7/2

this factor f applies (as mentioned) to the baseline AND to the height.

therefore, the area changes by f×f = f² = 49/4.

that means the area of the larger figure is

216 × 49/4 = 54 × 49 = 2,646 yd²

Answer:

C) (2, -9) is a solution to the equation.

Step-by-step explanation:

To find if both or one point is the solution to the equation, substitute the x and y-values of both points into the equation to find which one makes a true and correct statement (the answer).

For (2, -9):

[tex]\sf5x - \frac{y}{3} = 13\\\\5(2) - \frac{-9}{3} = 13\\\\10-(-3)=13\\\\10+3=13\\\\ \boxed{13=13}\\\\\ \textsf{This is a true statement}\\\textsf{This means that (2, -9) is a solution to 5x - y/3 = 13}[/tex]

For (3, -6);

[tex]\sf5x - \frac{y}{3} = 13\\\\5(3) - \frac{-6}{3} = 13\\\\15-(-2)=13\\\\15+2=13\\\\ \boxed{17=13}\\\\\ \textsf{This is not a true statement}\\\textsf{This means that (3, -6) is not a solutions to 5x - y/3 = 13}[/tex]

Therefore, the correct answer is C

Hope this helps!

Answer:

90.69 Rounded to the nearest tenth is 90.7

Step-by-step explanation:

✓  Rounded to the nearest 0.1 or

the Tenths Place.

✓  Hopefully this helps you! :)

wishing you a amazing day! ･ﾟ★,｡･

-Keira <33

Answer:

133

Step-by-step explanation:

an = a1 + f × (n-1)

an= 17+4 x (30-1)

an= 17+4 x 29

an= 17+116

an=133

Answer:

There is sufficient evidence to conclude that the distribution of responses is different now than it was historically.

Step-by-step explanation:

Since the p-value is less than the alpha significance level you reject the null hypothesis that the histrocial data matches the current.

We don't have enough evidence to conclude that the distribution of responses is different now than it was historically.

Human resources are the people who make up an organization's, business sector's, industry's, or economy's workforce.

A more specific concept is human capital, which refers to the knowledge and skills that individuals possess.

The chi-square goodness-of-fit test has a p-value of 0.089 at a significance level of 0.10. We cannot reject the null hypothesis because the p-value is greater than 0.10.

As a result, we lack sufficient evidence to conclude that the distribution of responses is different now than it was previously.

"We don't have enough evidence to conclude that the distribution of responses is different now than it was historically," is the correct answer.

Thus, this can be concluded regarding the given scenario.

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Your question seems incomplete, the probable complete question is:

Transcribed image text: Inference for categorical data (chi-square tests); Unit test The human resources department at a large company regularly conducts an employee satisfaction survey. One them on the survey presents employees with the statement, "I am happy overall at work. Based on historical data, here is the distribution of responses to this item Response Strongly Agree agree Disagree Strongly disagree 70% 15% 5% 10% Historical distribution The human resources department wants to test if the most recent responses fit the historical distribution. Here is a sample of 150 of the most recent responses to the statement along with a chi-square goodness-of-fit test. Response Strongly agree Agree Disagree Strongly disagree Inference for categorical data (chi-square tests): Unit test Response Strongly Agree Disagree Strongly agree disagree Observed 104 20 12 Expected 105 22.5 7.5 15 Components 0.01 0.28 5.63 0.6 x 6.52, DF - 3 P-value=0.089 Assume that all conditions for inference were met. At the a = 0.10 significance level, what should the human resources department conclude about the distribution of responses? Choose 1 answer: There is sufficient evidence to conclude that the distribution of responses is different now than it was Inference for categorical data (chi-square tests: Unit test Assume that all conditions for inference were met At the a 0.10 significance level, what should the human resources department conclude about the distribution of responses? Choose 1 answer: There is sufficient evidence to conclude that the distribution of responses is different now than it was historically We don't have enough evidence to conclude that the distribution of responses is different now than it was historically There is sufficient evidence to conclude that the distribution of responses is the same as it was historically No conclusions can be made from this test, because O expected counts cannot include decimals. There must have been a mistake in the calculations.

Line CB touches circle A only at one point (point B), hence CB is a tangent.

A circle is the locus of a point such that its distance from a fixed point (center) is always constant.

When a line intersects a circle in exactly one point the line is said to be tangent to the circle

Hence since Line CB touches circle A only at one point (point B), hence CB is a tangent.

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Answer:

x=12y + 10 or even just entirely solved... 82=12(6) +10

Step-by-step explanation:

Answer:

ImnotI'm not sure

this is the same im on

Step-by-step explanation:

Step-by-step explanation:

f(x) = 3x2+2x-3

g(x) = -x+4

(g.f)(x) = g[3x2+2x-3]

           = -(3x2+2x-3)+4

           = -3x2-2x+3

(g.f)(1) = -3(1)2-2(1)+3

           = -3-2+3

           = -2            

Answer:

6x+16

Step-by-step explanation:

Bottom :x

Side1:4x+5

Side2:x+11

perimeter = x+4x+5+x+11

=6x+16

Answer:

Step-by-step explanation:

hello : note 297 no 279

297 =3×99

99 = 3 ×33

33=3×11

this the geometric sequence. ( comon : 3)

the nth term is : An = A1 × r^n     when : r = 3 and A1 =11

if n = 19      A19 = 11×3^19

Answer:

? = 13.6

Step-by-step explanation:

the angle between a tangent and the diameter = 90°

Then the triangle is right with legs 2 × 6 = 12 and 6.4

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the legs , that is

? ² = 12² + 6.4² = 144 + 40.96 = 184.96 ( take square root of both sides )

? = [tex]\sqrt{184.96}[/tex] = 13.6

Answer: 39

Step-by-step explanation: formula is bh. 19.5 times 8 is 156. divide by 4 because a package will cover 4 sq ft.

Answer:

39

Step-by-step explanation:

parallelogram area is base x height

A = b x h

A = 19.5 x 8 = 156 ft^2 or square feet

156 divided by 4 = 39

The questions are illustrations of combination and probability

The given parameters are:

Monitors = 4

Keyboard = 2

CPU = 4

Printer = 3

The number of systems to choose from is:

n = 4 * 2 * 4 * 3 = 96

Hence, Patrick can choose from 96 systems

The given parameters are:

Containers = 2

Flavors = 4

The number of total combination to choose from is:

n = 2 * 4C3 = 8

Hence, the number of total combination is 8

The given parameters are:

Blouse = 5

Skirt = 3

Shoes = 4 pairc

The number of ways to dress up:

n = 5 * 3 * 4 = 60

Hence, Emma can dress up in 60 ways

The given parameters are:

Students = 6

Members of committee = 3

The number of ways to form a committee is:

n = 6C3 = 20

Hence, there are 20 ways to form the committee

We have:

Letters = 11

Consonnats = 7

The probability of selecting a consonant is:

P = 7/11

P = 0.636

Hence, the probability of selecting a consonant is: 0.636

We have:

Total students = 34

Students not in grade 8 = 25

The probability that a student is not in grade 8 is:

P = 25/34

P = 0.735

Hence, the probability that a student is not in grade 8 is 0.735

Not enough details to solve

There are 9 prime numbers in a total number of 31 numbers from 4 to 34.

So, the probability that a number is prime is:

P = 9/31

P = 0.290

Hence, the probability that a number is prime is 0.290

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Answer:

none of those answers are correct unless u mean 5 and 3/4

Step-by-step explanation:

Answer:

1000000 is the smallest 7-digit number

Graph B has a slope of -3 and a y-intercept of -5, therefore, the best graph that represents the equation is: Graph B.

The equation of a line can be rewritten in slope-intercept form as, y = mx + b.

The graph that represents the equation of the line, would have a slope of m and a y-intercept of b.

Given the equation:

3x + y = -5

Rewrite in slope-intercept form:

y = -3x - 5

The slope of the graph, would be m = -3, and the y-intercept would b b = -5.

Thus, graph B has a slope of -3 and a y-intercept of -5, therefore, the best graph that represents the equation is: Graph B.

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Answer:

B

Step-by-step explanation:

Took the quiz on EDGE 2022

Answer: 28 cm.

Step-by-step explanation: To find the area of trapezoids, you need to add base 1 and base 2, multiply the height, and divide it all by 2.  The work is done below:

b1 + b2 x h / 2, where b1 and b2 are the bases and h is the height.

5 + 9 x 4 / 2 = ?

Step 1 (Add): 5 + 9 = 14.

Step 2 (Multiply):  14 x 4 = 56.

Step 3 (Divide): 56 / 2 = 28.

Therefore, 28 cm is your answer.

Hope this helps! :)

Profit is selling price minus cost price, we assumed that the number of candles sold is 100, then the profit is $550

Note: The question is not complete

Given Data

We have the expression

P (x) = 7.5x - 200

Assuming the number of candles sold is x = 100

P (100) = 7.5*100 - 200

P (100) = 750 - 200

P (100) = $550

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Answer:

a>=-5

Step-by-step explanation:

when a+5>/=0

a>/=-5 because the if the contents of the absolute value are equal to the same expression in the absolute value if the expression is non negative. So we find the values of a when the expression is nonnegative.

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Here,

[tex]\sf{ x + 2y = 13 ...eq(1)}[/tex]

[tex]\sf{ x + 5y = 28 ...eq(2)}[/tex]

By solving eq(1) :-

[tex]\sf{ x + 2y = 13 }[/tex]

[tex]\sf{ x = 13 - 2y ...eq(3)}[/tex]

Subsitute eq(3) in eq(2) :-

[tex]\sf{ (13 - 2y) + 5y = 28 }[/tex]

[tex]\sf{ 13 - 2y + 5y = 28 }[/tex]

[tex]\sf{ 13 + 3y = 28 }[/tex]

[tex]\sf{ 3y = 28 - 13 }[/tex]

[tex]\sf{ 3y = 28 - 13 }[/tex]

[tex]\sf{ 3y = 15 }[/tex]

[tex]\sf{ y = }{\sf{\dfrac{ 15}{3}}}[/tex]

[tex]\sf{ y = }{\sf{\cancel{\dfrac{ 15}{3}}}}[/tex]

[tex]\bold{ y = 5 }[/tex]

Thus, The value of y is 5

Subsitute the value of y in eq(1) :-

[tex]\sf{ x + 2(5) = 13 }[/tex]

[tex]\sf{ x + 10 = 13 }[/tex]

[tex]\sf{ x = 13 - 10 }[/tex]

[tex]\bold{ x = 3 }[/tex]

Hence, The value of x and y are 5 and 3 .

[tex]\bold{\huge{\underline{ Let's \: Verify }}}[/tex]

[tex]\sf{ x + 2y = 13 }[/tex]

[tex]\sf{ 3 + 2(5) = 13 }[/tex]

[tex]\sf{ 3 + 10 = 13 }[/tex]

[tex]\sf{ 13 = 13 }[/tex]

[tex]\bold{ LHS = RHS }[/tex]

[tex]\sf{ x + 5y = 28 }[/tex]

[tex]\sf{ 3 + 5(5) = 28 }[/tex]

[tex]\sf{ 3 + 25 = 28 }[/tex]

[tex]\sf{ 28 = 28 }[/tex]

[tex]\bold{ LHS = RHS }[/tex]

Let's use elimination method

We get

[tex]\\ \rm\Rrightarrow 2y-5y=13-28[/tex]

[tex]\\ \rm\Rrightarrow -3y=-15[/tex]

[tex]\\ \rm\Rrightarrow y=\dfrac{-15}{-3}[/tex]

[tex]\\ \rm\Rrightarrow y=5[/tex]

Putting on eq(1)

[tex]\\ \rm\Rrightarrow x+2y=13[/tex]

[tex]\\ \rm\Rrightarrow x+2(5)=13[/tex]

[tex]\\ \rm\Rrightarrow x+10=13[/tex]

[tex]\\ \rm\Rrightarrow x=13-10[/tex]

[tex]\\ \rm\Rrightarrow x=3[/tex]

[tex]\LARGE{\underbrace{\underline{\rm{Verification:-}}}}[/tex]

[tex]\\ \rm\Rrightarrow x+2y=13[/tex]

[tex]\\ \rm\Rrightarrow 3+2(5)=13[/tex]

[tex]\\ \rm\Rrightarrow 3+10=13[/tex]

[tex]\\ \rm\Rrightarrow 13=13[/tex]

And

[tex]\\ \rm\Rrightarrow x+5y=28[/tex]

[tex]\\ \rm\Rrightarrow 3+5(5)=28[/tex]

[tex]\\ \rm\Rrightarrow 3+25=28[/tex]

[tex]\\ \rm\Rrightarrow 28=28[/tex]

Hence verified!

Answer:

Acute

Step-by-step explanation:

This should be an acute triangle because if this was a right angle, then the three sides should be figured out by the Pythagorean Theorem.

An obtuse angle wouldn't be right either, you need an angle to be over 90.

Answer:

10 nickels

9 dimes

5 quarters

Step-by-step explanation:

Answer:

10 nickels, 9 dimes, 15 pennies, 5 quarters

Step-by-step explanation:

I'm a little confused by the question, but, I'll assume that each one is separated by a space.

4 quarters + 5 dims = 1.50. So, there would be 10 nickels.

10 pennies + 3 quarters + 5 nickels = 10+75+25=110. So, 9 dimes

2 quarters + 12 dimes + 3 nickels= 50 + 120 + 15 = 15. So, 15 pennies

4 dimes + 6 nickels + 5 pennies = 40+30+5=75. So, 5 quarters

By factorizing the expression, 4x² + 40x - 44, the width of the path (x) is calculated as: 11 meters.

To factorize an expression, such as 4x² + 40x - 44, we need to determine the two factors that will give us -176 when multiplied, and also give us 40 when added.

To find the width of the path, x, we need to factorize 4x² + 40x - 44, using the two factors, 4 and -44.

4x² - 44x + 4x - 44

(4x² - 44x) + (4x - 44)

4x(x - 11) + 4(x - 11)

(x - 11)(4x + 4) = 0

x = 11 or x = -4/4 = -1

The value of the width of the path, x, cannot be negative. Therefore, the width of the path would be: 11 meters.

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Answer:

b

Step-by-step explanation:

a x (b + c) = (a x b) + (a x c)

Answer:

B is the answer...

2(5+6)

(2×5)+(2×6)

Answer:

It is negative.

Step-by-step explanation:

-6 - 65 is -71

Hope that helps!

Answer:

negative

Step-by-step explanation:

The equation -6 - 65 equals -71 because 65 is a positive number and -6 is not which means it must keep going negative because a negative plus a positive goes negative.

Answer:

i think four but im prolly wrong

Step-by-step explanation:

Answer:

1,1. 4,4. 5,5 and. 6,6

Step-by-step explanation:

Because they are all the same numbers :)