Choose all of the following statements that suggest a positive association.
A. The less education a person has, the less money they will likely earn.
B. The less fruits and vegetables a person eats, the lower their risk for cancer.
C. The smaller a person's shoe size, the larger their pant size.
D. The more you study, the more likely you are to earn a better grade.

Answer:

[tex]f(x)=(x-\frac{5}{2})^2+\frac{7}{4}[/tex]

Step-by-step explanation:

Complete the square

[tex]f(x)=x^2-5x+8\\\\f(x)-1.75=x^2-5x+8-1.75\\\\f(x)-1.75=x^2-5x+6.25\\\\f(x)-1.75=(x-2.5)^2\\\\f(x)=(x-2.5)^2+1.75\\\\f(x)=(x-\frac{5}{2})^2+\frac{7}{4}[/tex]

Answer:

x < & = -23/2

Step-by-step explanation:

Let a number be x.

Twice a number = 2x

2x - 3 = -26 and 2x - 3 < -26

2x = -23 and 2x < -23

x = -23/2 and x < -23/2

Answer:

[tex]\sf slope: \boxed{\bf \frac{1}{3} }[/tex]

Explanation:

[tex]\sf slope :\dfrac{y_2-y_1}{x_2-x_1} =\dfrac{rise}{run} \ \ \ \ where \ (x_1, \ y_1) ,(x_2, \ y_2) \ are \ points[/tex]

Find slope:

[tex]\rightarrow \sf \dfrac{x_2-x_1}{y_2-y_1}[/tex]

insert values

[tex]\rightarrow \sf \dfrac{3-5}{-4-2}[/tex]

simplify

[tex]\rightarrow \sf \dfrac{1}{3}[/tex]

Answer: -1/3

Step-by-step explanation:

The equation to find the slope of a line is [tex]\frac{y2 - y1}{x2-x1}[/tex]. Y1 is 5, Y2 is 3, X1 is 2, and X2 is -4. Plug these numbers in to get the equation [tex]\frac{5-3}{(-4)-2}[/tex]. 5-3 = 2. (-4)-2 = -6. This gives a slope of 2/-6, which can be reduced by dividing the numerator and denominator by 2 to get a final slope of -1/3.

Answer:

(0, -3, 2)

(0, -3, 0)

(-4, 0, 2)

Corner where 2 or more edges meet.

If the length of the diagonals are equal, then the vertices of a rhombus will form a square. Formula used: We will use the formula of distance between two points which is given

[tex]\[d = \sqrt {{{({x_2} - {x_1})}^2} + {{({y_2} - {y_1})}^2}} \], where \[({x_1},{y_1})\] and \[({x_2},{y_2})\][/tex]

be the two points.

Considering the graph of the periodic function it is found that approximately 6 seconds pass between consecutive waves.

The period of a function is given by the distance between it's repetitions.

In this problem, the peaks happen at t = 4 seconds, t = 10 seconds and t = 16 seconds, that is, each 6 seconds, hence approximately 6 seconds pass between consecutive waves.

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Answer:

7

Step-by-step explanation:

The median is 7, if you place all the numbers in order then start crossing off the smallest and then largest number, you would be left with the number in the middle which is 7.

Answer:

7

Step-by-step explanation:

3, 3, 5, 7, 8, 9, 11

7 is in the middle.

Based on the percentage of the time that the Porches and the Ferraris work, the probability that at least half of both work on a given day is 0.8172.

The Porches work 80% of the time and the Ferraris work 60% of the time.

Using the binomial distribution, the probability that half the Porches work is:

= (⁴ₓ) (0.80)ˣ (1 - 80)⁽⁴ ⁻ ˣ⁾

= 0.9728

The probability that half the Ferraris work is:

= (²ₓ) (0.60)ˣ (1 - 60)⁽² ⁻ ˣ⁾

= 0.84

The probability that only half of both will work is:

= 0.9728 x 0.84

= 0.8172

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Answer:

Choice D, 20 inches.

Step-by-step explanation:

The Pythaogorean theorem tells us that the hypotenuse of a triangle, c, can be found by taking: c = [tex]\sqrt{a^{2} +b^{2}}[/tex]. In this case, a = 3 and b = 4. So:

c = [tex]\sqrt{a^{2} + b^{2} }[/tex]

c = [tex]\sqrt{3^{2} + 4^{2} }[/tex]

c = [tex]\sqrt{9 + 16}[/tex]

c = [tex]\sqrt{25}[/tex]

c = 5

The sides of a rhombus are all equal. Given that one side is equal to 5, we can simply multiply 5 by 4 to get 20. The perimeter is 20 inches.

Answer:

D. 20 in

Step-by-step explanation:

Finding the side of the rhombus :

Perimeter :

Answer:

9.6 ft.

Step-by-step explanation:

Given they are similar, take the sides of the triangles in proportion.

Answer:

[tex]x-8y=-24[/tex]

Step-by-step explanation:

Standard form of a linear equation:  [tex]Ax+By=C[/tex]

(where A, B and C are integers, and A shouldn't be negative)

Given equation:

[tex]y=\dfrac{1}{8}x+3[/tex]

Multiply both sides by 8:

[tex]\implies 8 \cdot y=8 \cdot \dfrac{1}{8}x+8 \cdot 3[/tex]

[tex]\implies 8y=x+24[/tex]

Subtract 8y from both sides:

[tex]\implies 8y-8y=x+24-8y[/tex]

[tex]\implies 0=x+24-8y[/tex]

Subtract 24 from both sides:

[tex]\implies 0-24=x+24-8y-24[/tex]

[tex]\implies -24=x-8y[/tex]

In standard form:

[tex]\implies x-8y=-24[/tex]

The number of cups of blackberries Jeff has for every 1 cup of strawberries is 8/15 while making a fruit salad.

Mixed numbers are the number which are used to write the whole number and the fraction number combined. As the whole number and fraction number are expressed together, thus these numbers are called mixed numbers.

Jeff is making a fruit salad. He has 1 1/3 cups blackberries. In the fractional number,

[tex]\text{Blackberries}=1\dfrac{1}{3}\\\text{Blackberries}=\dfrac{3+1}{3}\\\text{Blackberries}=\dfrac{4}{3}[/tex]

Jeff has 2 1/2 cups of strawberries. In the fractional number,

[tex]\text{strawberries}=2\dfrac{1}{2}\\\text{strawberries}=\dfrac{4+1}{2}\\\text{strawberries}=\dfrac{5}{2}[/tex]

Thus, the number of cups of blackberries does he have for every 1 cup of strawberries,

[tex]r=\dfrac{\dfrac{4}{3}}{\dfrac{5}{2}}\\r=\dfrac{4\times2}{3\times5}\\r=\dfrac{8}{15}[/tex]

Hence, the number of cups of blackberries Jeff has for every 1 cup of strawberries is 8/15 while making a fruit salad.

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Answer:

the answer is 9, the total number of dots is 18. which divided into three is 6 in a column.

and the 1/2 of this in the group Is 9

The volume of the stump in cubic inches is 18095.6  if the Ashley measures its height as 1.2 ft and its radius as 20 in.

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

[tex]\rm V = \pi r^2 h[/tex]

We have h = 1.2 ft = 1.2×12 = 14.4 inches

r = 20 inches

[tex]\rm V = \pi (20)^2 \times 14.4[/tex]

After calculating, we get:

V = 18095.57 ≈ 18095.6 cubic inches

Thus, the volume of the stump in cubic inches is 18095.6  if the Ashley measures its height as 1.2 ft and its radius as 20 in.

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Answer:

Step-by-step explanation:

2

Answer:

[tex] \: [/tex]

Step-by-step explanation:

In the question, it is given that a sphere has a radius of cm and we have to find the volume of the sphere.

To Find the volume of the cone, we must know this formula :

[tex]\\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { Volume_{(sphere) }= \dfrac{4}{3} \: \pi {r}^{3}}}}}}}} \\ \\[/tex]

Now, we will substitute the values in the formula :

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3.14 \times {(8)}^{3}}}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3.14 \times 512}}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 1067.68}}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4 \times 1067.68 }{3} \: }}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{6430.72 }{3} \: }}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= 2143.57}}}}}} \\ \\[/tex]

Therefore,

Answer:

[tex]a = \frac{7b}{5} -11[/tex]

Answer:

Step-by-step explanation:

Answer:

[tex]volume \: of \: triangular \: prism = \frac{1}{2} \times b \times h \times h \\ = \frac{1}{2} \times 8 \times 12 \times 9 \\ = 432m {}^{3} [/tex]

Answer:

Step-by-step explanation:

I calculated it.

Answer:

the answer is 21

21

The square root of 3415 is 58.438001334748

Bisect each angle of the triangle using a compass then where the lines the have been bisected meet up, from there, put the the compass and then your pencil tip on the perimeter of the triangle and draw a circle

The exterior angle and x form a straight line which need to equal 180.

x = 180-70 - 110

Answer: x = 110

For the given triangle the required measure of angle is 110°.

Use the concept of a triangle defined as:

A triangle is a three-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.

Since we know  that,

The angle of a line is 180 degrees.

Therefore, for the given triangle,

x° + 70° = 180°

Subtract 70° on both sides,

x°  = 110°

Hence,

The measure of x° is 110°.

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Answer:

Step-by-step explanation:

a)

The answer is greater than 450 because the percentage is less than 100%

b)

36% = 36/100 = 0.36

450/0.36 = 1250

how many people were surveyed?:

1250

answer = 70

top triangle

1/2 times 5 times 5 = 12.5

12.5 times 2 = 25

bottom

14 - 5 = 9

1/2 times 5 × 9 = 22.5

22.5 times 2 = 45

45 + 25 = 70

The area of the kite is [tex]70in^2[/tex]

The area of a kite measures the space inside the four sides. The most common way to find the area is by using the formula A = xy/2, where x and y are the lengths of the diagonals.

Given;

[tex]10_{14}=140[/tex] ÷ [tex]2=70[/tex]

[tex]70_2=140[/tex]

Therfore, the area of the kite is [tex]70in^2[/tex]

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Answer:

Y=3

Step-by-step explanation:

please mark brainliest

Answer:

Y = 3

If you need me to explain it step by step lmk.

Answer:

3/2

Step-by-step explanation:

it's the slope because it's before x.