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Shari drew several lines. Which lines are perpendicular to AC ?
Select all that apply.

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Explanation:

The main group or cluster of values spans from 32 to 42 (inclusive).

Then off on its own is the value 76, which we consider an outlier. This value is fairly far from the group. As a rule, large outliers pull on the arithmetic mean to make it larger than it should be. Think of it like the outlier pulling on the mean as if it was done through a magnet or gravitational pull.

Similarly, small outliers pull the mean to the left to make it smaller than it should be. We don't have any small outliers in this case.

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Let's consider the set

A = {32, 34, 35, 36, 37, 38, 38, 41, 42, 42, 46}

where I've sorted the values and I replaced 76 with 46.

Computing the mean of set A gets us

(32+34+35+36+37+38+38+41+42+42+46)/11 = 38.27 approximately

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Now let's form this set

B = {32, 34, 35, 36, 37, 38, 38, 41, 42, 42, 76}

which is the original set your teacher gave you. It's nearly identical to set A, except that the 46 is now 76 again.

Compute the mean of set B

(32+34+35+36+37+38+38+41+42+42+76)/11 = 41

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Set A has a mean of roughly 38.72 and set B has a mean of 41. We see that the mean has increased.

Answer:

because f(n) = f(n + 1)

=> f(3) = f(2) = f(1) = 9

9514 1404 393

Answer:

  no solution

Step-by-step explanation:

The two lines are parallel, so do not intersect. There is no solution.

Answer:

A = πx² - 2πx + π

Step-by-step explanation:

The area of the new cup opening :

We are given the area formula to use :

Area, A = πr²

r = Radius = x-1

Area = π(x - 1)²

A = π(x - 1)(x - 1)

A = π(x² - x - x + 1)

A =π(x² - 2x + 1)

A = πx² - 2πx + π

Answer:

30. A right triangle has one angle that is 90°

All angles add to 180°

180 - 90 - 60 = 30

Step-by-step explanation:

Answer:

Point A’ is at (-2,-2)

& point D' is at (4,-2)

Step-by-step explanation:

Point A’ => (-1×2, -1×2) => (-2 , -2)

Point D' => (2×2 , -1×2) => (4 , -2)

A is at (-1,-1)

So A' is at

D is at

D' is at.

Answer:

NEGATIVE

Step-by-step explanation:

Answer:

positive

Step-by-step explanation:

positive

Answer:

x=80

Step-by-step explanation:

Answer:

[tex]y=5x-7[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

11 22 6 34 19

Answer:

The APR of the loan was 18.30%.

Step-by-step explanation:

Given that a student has a total of $ 3000 in student loans that will be paid with a 48-month installment loan with monthly payments of $ 73.94, to determine the APR of the loan to the nearest one-half of a percent the following calculation must be done:

3,000 = 100

(73.94 x 48) = X

3,000 = 100

3,549.12 = X

3,549.12 x 100 / 3,000 = X

354,912 / 3000 = X

118.30 = X

118.30 - 100 = 18.30

Therefore, the APR of the loan was 18.30%.

Answer:

5.5

Step-by-step explanation:

[tex] \frac{1}{6 - d} = \frac{1}{d - 5} \\ \\ \therefore \: 6 - d = d - 5 \\ \\ 6 + 5 = d + d \\ \\ 11 = 2d \\ \\ d = \frac{11}{2} \\ \\ d = 5.5[/tex]

Answer:

growth

79% rate of increase

Step-by-step explanation:

1.79 is > than 1

therefor growth

1.79  = 79% rate of increase

Answer:

Tn=8n-6

Step-by-step explanation:

this is arithmetic sequence so first we check our difference by saying

T2-T1=T3-T2

10-2=18-10

so difference =8 nd a=2

Formula for arithmetic is Tn=a + (n-1)d

then substitute Tn=2 + (n-1)(8)

Tn=2 + 8n-8

Tn=8n-6

Answer:

It takes _8_ s for an object to fall 1000 feet. In 10 s, an object will fall _1600_ feet.

Step-by-step explanation:

A. Determination of the time it takes for the object to 1000 ft.

Distance (d) = 1000 ft

Time (t) =?

t = √(d/16)

t = √(1000/16)

t = 8 s

B. Determination of how much feet an object will fall in 10 s.

Time (t) = 10 s

Distance (d) =?

t = √(d/16)

10 = √(d/16)

Take the square of both side

10² = d/16

100 = d/16

Cross multiply

d = 100 × 16

d = 1600 ft

SUMMARY

It takes _8_ s for an object to fall 1000 feet. In 10 s, an object will fall _1600_ feet.

Answer:

[tex]y=-2x+8[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

[tex]y=-2x+1[/tex]

The given line has a slope of -2. Because parallel lines always have equal slopes, we know that the line parallel to this would also have a slope of -2. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-2x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-2x+b[/tex]

Plug in the given point (2,4) to solve for b

[tex]4=-2(2)+b\\4=-4+b[/tex]

Add 4 to both sides to isolate b

[tex]4+4=-4+b+4\\8=b[/tex]

Therefore, the y-intercept of the line is 8. Plug this back into [tex]y=-2x+b[/tex]:

[tex]y=-2x+8[/tex]

I hope this helps!

Answers:

=======================================================

Explanation:

So far that accounts for 15+30+35 = 80 people who work in the field, the office, or both.

The remaining 90-80 = 10 people are absent.

The venn diagram is below.

Answer:

t = -1

c = 6

s = 8.2 or 8 1/5 (same thing just different notation)

Step-by-step explanation:

3(t+4) = 9

3t + 12 = 9

3t = -3

t = -1

-(c-6) = 0

-c + 6 = 0

-c = -6

c = 6

-10(s+4) = -122

-10s - 40 = -122

-10s = -82

10s = 82

s = 82/10 = 8.2 or 8 2/10 or 8 1/5

Answer:

A)     (0, -1)

Step-by-step explanation:

A relative maximum point is a point where the function changes direction from increasing to decreasing (making that point a "peak" in the graph)

(0, -1)

Answer:

[tex]P (1.41 < z < 2.85) = 0.0771[/tex]

Step-by-step explanation:

Required

[tex]P (1.41 < z < 2.85)[/tex]

This is calculated as:

[tex]P (1.41 < z < 2.85) = P(z < 2.85) - P(z < 1.41)[/tex]

From z probabilities:

[tex]P(z < 2.85) = 0.99781[/tex]

[tex]P(z < 1.41) = 0.92073[/tex]

So, we have:

[tex]P (1.41 < z < 2.85) = 0.99781 - 0.92073[/tex]

[tex]P (1.41 < z < 2.85) = 0.07708[/tex]

Approximate

[tex]P (1.41 < z < 2.85) = 0.0771[/tex]

Answer:

y = -2 1/3+3

Step-by-step explanation:

-Subtract 7x from each side of equation

-divide by 3 on each side

7x+3y = 9

3y = -7x+9

y = -7/3+3

:) ur welcome

Answer:

False

Step-by-step explanation:

Rational number :

A rational number is a number which can be represent as p/q of two integers where q is not equal to zero

Example: 2/3

[tex]\sqrt{3}[/tex] = 17320508075........ and it keeps extending. Since it does not terminate or repeated after the decimal point.

Therefore [tex]\sqrt{3}[/tex] is an irritational number,

Hence given statement is FALSE

Hope it's help you

Answer:

Step-by-step explanation:

BUG is 30 degrees more than GUY

So that means if <GUY = x

< BUG = <GUY + 30

Together they make 180 degrees

<BUG + <GUY = 180        Substitute for <BUG

<GUY + 30 <GUY = 180  Combine

2*<GUY + 30 = 180          Subtract 30 from both sides

2*<GUY = 150                   Divide by 2

<GUY = 150/2

<GUY = 75

<BUG = 75 + 30

<BUG = 105

Answer:

its 1.388 p

Step-by-step explanation:

i hope this helps

Answer:

answer is

74....................

Answer:

$0.25

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

x = 60°

Step-by-step explanation:

Special Angles :

sin = opposite divided by hypotenuse

opposite of angle 60° is square root of three

hypotenuse is two

Answer:

x=60+k.360 or x =120+k.360

Step-by-step explanation:

Answer:

576

Step-by-step explanation:

5 square root 2 is 25

25 minus 1 is 24

24 square root 2 is 576

Answer:

25

Step-by-step explanation:

[tex](5\sqrt{(2-1)} ^{2}[/tex]

[tex](5\sqrt{1}) ^{2}[/tex]