*20 POINTS PLEASE HELP*

The Venn diagram represents the results of a survey that asked participants whether they would want a dog or a cat as a pet.



Enter your answers in the boxes to complete the two-way table based on the given data.

Answer:

  {-13, 2, 17}

Step-by-step explanation:

Put the given values where x is, and do the arithmetic.

  f({-3, 0, 3}) = -5{-3, 0, 3} +2 = {15, 0, -15} +2 = {17, 2, -13}

Rearranging these range values to numerical order, they are ...

  {-13, 2, 17}

_____

Your graphing calculator or spreadsheet can apply a formula to a list of numbers.

Answer:

(26996, 42744)

Step-by-step explanation:

24% of 112,483 = 26,996

38% of 112,483 = 42,744

So the interval is (26996, 42744).

The interval for the number of people who are likely to want this restaurant in their city is (26996,42744) given that there are 112,483 people in the city and the percent of people who want a new restaurant is in the interval (24%, 38%). This is obtained by calculating the number of people corresponding to the percentages.

Given that, the percent of people who want a new restaurant is in the interval (24%, 38%) and there are 112,483 people in the city.

Thus, 24% of 112,483 = (24/100) × 112,483

                                   =26,996

Similarly, 38% of 112,483 = (38/100) × 112,483

                                         =42,744

The required interval for the number of people is (26996,42744).

Hence the interval for the number of people who are likely to want this restaurant in their city is (26996,42744) given that there are 112,483 people in the city and the percent of people who want a new restaurant is in the interval (24%, 38%).

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Answer:

75 feet

Step-by-step explanation:

This is a right triangle because the balloon went straight up. The other angle being 45 means it is an isosceles right triangle. This means the legs are the same length. Since the person is 75 feet away, the balloon is 75 feet up.

Answer:

range: 13, mean: 6

Step-by-step explanation:

You get range by subtracting the largest number (15) by the smallest number (2). 15-2 equals 13.

You get mean by adding up all of the numbers (2+2+3+4+5+5+6+8+10+15=60) and dividing the sum by the amount of numbers in the list (10). 60/10 equals 6.

Answer with explanation:

When two coins are tossed

Total Sample Space ={T T,HT, TH, H H}=4

By getting , T T, total points won =1 Point

For, a fair game , you need to lose 1 point, so that sum of all the points

    =1 -1

   =0

The point = -1 , must be obtained from three outcomes which are {HT, TH, and H H}.

Sum of ,HT , TH and H H = -1

⇒S(H T) +S (TH) +S(H H)= -1, where S=Sum

If points obtained on each of three outcome are equal, then

[tex]S(HT)=\frac{-1}{3}\\\\S(TH)=\frac{-1}{3}\\\\S(HH)=\frac{-1}{3}[/tex]

Answer:

BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB

Step-by-step explanation:

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Answer:

  A.  x = -2

Step-by-step explanation:

A spreadsheet is a suitable tool for making a chart like this.

The values of f(x) and g(x) are the same for x = -2. That is, f(-2) = g(-2), so x=-2 is the solution to f(x)=g(x).

Answer:

They all have diffirent sides and

Answer:

They are all 3D, but they are different shapes. Some of the shapes have more faces than other and some have a different base thans others too.

Step-by-step explanation:

Hope it helps!!

Answer:

301.6 ft³

Step-by-step explanation:

The volume (V) of a cone is calculated using the formula

V = [tex]\frac{1}{3}[/tex] × area of base × perpendicular height (h)

h can be calculated by using Pythagoras' identity in the right triangle

with hypotenuse = 10 and legs 6 and h, thus

h² + 6² = 10²

h² + 36 = 100 ( subtract 36 from both sides )

h² = 64 ( take the square root of both sides )

h = [tex]\sqrt{64}[/tex] = 8

Hence

V = [tex]\frac{1}{3}[/tex] × π × 6² × 8

   = [tex]\frac{1}{3}[/tex] × 288π = [tex]\frac{288\pi }{3}[/tex] ≈ 301.6

Answer:

  the selected answer choice is correct

Step-by-step explanation:

If flattened, it would be a rectangle 1 1/2 feet high by (1 1/2 + 2 + 1 1/2) = 5 ft long. The area of that is ...

  (1.5 ft)(5 ft) = 7.5 ft^2

Answer:

AM = 4

Step-by-step explanation:

On each median the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint, that is

AM = [tex]\frac{1}{3}[/tex] × 12 = 4

Answer:

No, correct option is (A) 117.5

Step-by-step explanation:

Interquartile range (IQR) measures the skewness using 50% of the data. It is the difference between the third quartile and the first quartile. i.e.

    IQR = Q₃ - Q₁

For finding the Interquartile Range of the data:

100, 120, 130, 188, 196, 220, 265, 300

(100, 120, 130, 188) (196, 220, 265, 300)

     2. Now finding the medians of both halves of the data that will be our First and Third Quartile of data.

So, Q₁ = 125 and   Q₃ = 242.5

Now, using IQR = Q₃ - Q₁

                           = 242.5 - 125  = 117.5

Hence, Correct option is Option (A).

Answer:

x =(6-√-12)/6=1-i/3√ 3 = 1.0000-0.5774i

x =(6+√-12)/6=1+i/3√ 3 = 1.0000+0.5774i

Step-by-step explanation:

Two imaginary solutions :  

x =(6+√-12)/6=1+i/3√ 3 = 1.0000+0.5774i

 or:  

x =(6-√-12)/6=1-i/3√ 3 = 1.0000-0.5774i

Two solutions were found :

x =(6-√-12)/6=1-i/3√ 3 = 1.0000-0.5774i

x =(6+√-12)/6=1+i/3√ 3 = 1.0000+0.5774i

Answer:

3/4

Step-by-step explanation:

I'm not very good at understanding word problems but I'll try to help using the info I already have.

You bought 3/4 pounds and you need a total of 1 1/2 pounds.

Find the common denominator which in this case is 4. Multiply 1 1/2 by 2/2 to get 1 2/4

You leave 3/4 alone because the denominator is already 4.

Convert 1 2/4 to a mixed number by taking away the 1 and adding 4 to the numerator leaving you with 6/4

6/4 - 3/4 = 3/4

Therefore you need 3/4 pounds left

Hope I helped

Answer:

0.88

Step-by-step explanation:

P(x≥2) = P(x=2) + P(x=3) + P(x=4) + P(x=5) + P(x=6)

P(x≥2) = 0.21 + 0.35 + 0.21 + 0.06 + 0.05

P(x≥2) = 0.88

Or, you can calculate it as:

P(x≥2) = 1 - P(x=1) - P(x=0)

P(x≥2) = 1 - 0.09 - 0.03

P(x≥2) = 0.88

Answer:

5.6

Step-by-step explanation:

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Answer:

6.2

Step-by-step explanation:

The expected value is the sum of the each value times its probability.

X = (3×0.2) + (4×0.1) + (5×0.25) + (7×0.05) + (9×0.4)

X = 0.6 + 0.4 + 1.25 + 0.35 + 3.6

X = 6.2

Answer:

the negative solution.  It is n = -2

Step-by-step explanation:

Let n represent the number.  Then n² - 16 = 6n, and, after rearrangement,

n² - 6n - 16 = 0.  This factors as follows:  

n² - 6n - 16 = 0 = (n - 8)(n + 2) = 0, and so n = 8 or n = -2.

We are to find the negative solution.  It is n = -2.

ANSWER

[tex]882 \: {in}^{2} [/tex]

EXPLANATION

The area of the original rectangle is 72 in².

If the length and the width of the rectangle are changed by a scale factor of 3.5.

Then the area will change by

[tex]{3.5}^{2} = 12.25[/tex]

To get the area of the new rectangle is we multiply the area of the original rectangle by 12.25.

This implies that,the area of the new rectangle is

[tex]3.5 \times 72 = 882 \: {in}^{2} [/tex]

Therefore the area of the new rectangle is 882 square inches.

Answer:

A and C

Step-by-step explanation:

I got the answers correct on edg.

Hope this helps :)

Answer:

AB is the shortest segment in △ABC

AC = 2AB

Step-by-step explanation:

Edge 2022

Answer:

Step-by-step explanation:

The trick here (and it is tricky!) is to find the area of the parallelogram as a whole based on the information you're given, and then use that area to solve for h. If we look at the parallelogram sideways and use 5.5 as the height, the base is 9.9. The area for a parallelogram is A = bh, so A = 9.9(5.5) so

A = 54.45 in squared. Now we will use that area value along with the height of h and the base of 11. Remember, just because we are using different numbers this time, the area of the parallelogram doesn't change. Therefore,

54.45 = 11(h) and

h = 4.95 in.

Terms that have the same variable part are called like terms. Like terms can be added or subtracted to form a single term.

1.

16x - 4x = -48

First, combine the like terms 16x and -4x.

12x = -48

Now divide both sides by 12.

x = -4

2.

7m - 5 - 13m = 25

First, combine the like terms 7m and -13m.

-6m - 5 = 25

Now add 5 to both sides.

-6m = 30

Divide both sides by -6.

m = -5

3.

12.25 = 0.5q + 3.75

Subtract 3.75 from both sides.

8.5 = 0.5q

Multiply both sides by 2.

17 = q

q = 17

4.

2(2x - 4) + x = 7

Distribute the 2.

4x - 8 + x = 7

Combine 4x and x.

5x - 8 = 7

Add 8 to both sides.

5x = 15

Divide both sides by 5.

x = 3

5.

8 = 3(3x + 8) - x

Distribute the 3.

8 = 9x + 24 - x

Combine 9x and -x.

8 = 8x + 24

Subtract 24 from both sides.

-16 = 8x

Divide both sides by 8.

-2 = x

x = -2

Answer: C

Step-by-step explanation: This is the most common answer choice [majority of the time] because of the face that they carry so much weight, and because whenever you are in doubt, you have nothing to do but guess.

[tex]\( a = \frac{8}{5} \)[/tex] and  [tex]\( b = \frac{3}{8} \)[/tex].

To find the number asuch that the line x = a bisects the area under the curve [tex]\( y = \frac{1}{{x^2}} \)[/tex] for [tex]\( 1 \leq x \leq 4 \)[/tex], we first need to find the total area under the curve in that interval. Then, we'll find the value of a such that the area to the left of x = a is equal to the area to the right of x = a.

The total area under the curve [tex]\( y = \frac{1}{{x^2}} \)[/tex] from x = 1 to x = 4 is given by the definite integral:

[tex]\[ A = \int_{1}^{4} \frac{1}{{x^2}} \, dx \][/tex]

[tex]\[ A = \int_{1}^{4} x^{-2} \, dx \][/tex]

[tex]\[ A = \left[ -\frac{1}{x} \right]_{1}^{4} \][/tex]

[tex]\[ A = -\frac{1}{4} + \frac{1}{1} \][/tex]

[tex]\[ A = 1 - \frac{1}{4} \][/tex]

[tex]\[ A = \frac{3}{4} \][/tex]

So, the total area under the curve is [tex]\( \frac{3}{4} \)[/tex].

To bisect this area, the area to the left of x = a and the area to the right of x = a must each be [tex]\( \frac{1}{2} \)[/tex] of the total area.

Let's integrate from x = 1 to x = a to find the area to the left of \( x = a \), then set it equal to [tex]\( \frac{1}{2} \)[/tex] of the total area:

[tex]\[ \int_{1}^{a} \frac{1}{{x^2}} \, dx = \frac{1}{2} \cdot \frac{3}{4} \][/tex]

[tex]\[ \left[ -\frac{1}{x} \right]_{1}^{a} = \frac{3}{8} \][/tex]

[tex]\[ -\frac{1}{a} + \frac{1}{1} = \frac{3}{8} \][/tex]

[tex]\[ -\frac{1}{a} + 1 = \frac{3}{8} \][/tex]

[tex]\[ -\frac{1}{a} = \frac{3}{8} - 1 \][/tex]

[tex]\[ -\frac{1}{a} = \frac{3}{8} - \frac{8}{8} \][/tex]

[tex]\[ -\frac{1}{a} = \frac{-5}{8} \][/tex]

[tex]\[ \frac{1}{a} = \frac{5}{8} \][/tex]

[tex]\[ a = \frac{8}{5} \][/tex]

So, [tex]\( a = \frac{8}{5} \)[/tex].

Now, to find the number b such that the line y = b bisects the area, we need to find the value of b such that the area above the line y = b is equal to the area below the line y = b.

The total area under the curve is [tex]\( \frac{3}{4} \)[/tex]. Since the curve is symmetric about the x-axis, the line y = b must pass through the midpoint of the total area, which is [tex]\( \frac{3}{8} \)[/tex] above the x-axis.

So, [tex]\( b = \frac{3}{8} \)[/tex].

Answer:

bnm,

Step-by-step explanation:

Answer:

Step-by-step explanation:

If two plygons are similar, then corresponding sides are in proportion.

Therefore we have the equation:

[tex]\dfrac{z}{9}=\dfrac{2}{6}[/tex]          cross multiply

[tex]6z=(9)(2)[/tex]

[tex]6z=18[/tex]          divide both sides by 6

[tex]z=3[/tex]

Answer:

Sometimes

Step-by-step explanation:

By definition:

Isosceles triangle:Two equal sides and

Two equal angles

Acute triangle: All angles are less than 90°.

Because an angle of an isosceles triangle can be greater than 90° sometimes an acute triangle is not an isosceles.

Answer:

Step-by-step explanation:< at center is twice angle at circumfrence. where the dot is. drawing an angle of 108 degrees.

108/2=54

y and w=54.

to get z

40 +108 +2A=360(<at a point)

148+2a=360

2a=360-148

a=360-148/2=106

106 +w+z=180 <on a straight line

106+54+z=108

160+z=180

z=180-160

=20

Answer:

z = 20°

Step-by-step explanation:

The angle z formed by 2 chords is equal to half the intercepted arc, that is

z = 0.5 × 40° = 20°

The Center = (-1.5, 2) and radius is 2 of the equation  (x+1.5)^2 + (y-2)^2 = 4.

We have given that,

A manufacturer is designing a two-wheeled cart that can maneuver in tight spaces.

On one test model, the wheel placement and radius are modeled by the equation (x+1.5)^2 + (y-2)^2 = 4.

We have to determine the center and radius of the given equation.

The standard form for the equation of a circle is [tex](x-h)^2+(y-k)^2=r^2.[/tex]

The center is (h,k) and the radius measures r units.

Compare the given equation with the standard form of the equation so we get,

radius=4=(2)^2=2

center(h,k)=(-1.5,2)

Therefore, the Center = (-1.5, 2) and radius is 2 of the equation  (x+1.5)^2 + (y-2)^2 = 4.

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ANSWER

[tex](1,4)[/tex]

[tex](- \infty ,-3)[/tex]

EXPLANATION

The x-values for which the graph is below the x-values below the x-axis is the interval on which the graph is negative.

We can see from the graph that, for

[tex]x < - 3[/tex]

the function is negative.

This can be rewritten as:

[tex] (- \infty ,-3)[/tex]

Also for

[tex]1 < x < 4[/tex]

the function is again negative.

This is also written as:

[tex] (1,4)[/tex]

Answer:

(1,4)

(-infinity, -3)

Step-by-step explanation:

Answer:

Joe is 9 years old

Step-by-step explanation:

We can start by creating two different equations, one for each fact that we know about their ages.

Say that J is Joe's age

Say that T is Tim's age

Our first equation would then be:

4J + 2T = 50

J - 2 = T

Now that we know that T is J - 2, we can plug that in to the first equation.

4J + 2(J - 2) = 50

We can simplify this equation to solve for J

4J + 2J - 4 = 50

6J = 54

J = 9

Joe is 9 years old

Answer:

[tex]x^{2}+y^{2}-8x-4y+11=0[/tex]

Step-by-step explanation:

we have

[tex](x-4)^{2}+(y-2)^{2}=9[/tex]

The general equation of the circle is equal to

[tex]x^{2}+y^{2}+Ax+By+C=0[/tex]

Convert the standard form to a general form

[tex](x-4)^{2}+(y-2)^{2}=9\\ \\(x^{2} -8x+16)+(y^{2}-4y+4)=9\\ \\x^{2}+y^{2}-8x-4y+20-9=0\\ \\x^{2}+y^{2}-8x-4y+11=0[/tex]