Which two-way frequency table correctly shows the marginal frequencies?

Answer:

16. 70%

17. 100%

Step-by-step explanation:

16. As seen here, there are 10 marbles in total. Out of those marbles, there are 7 green marbles.

We can set up a "part to whole" fraction such as 7/10

Then we just find the % value by finding an equivalent "x to 100" ratio (percentages go up to 100)

7/10 = x/100

1000 = 7x

70 = x

17. Fortunately, there doesn't seem to need too much math involved as the only possible marbles are red and green. Therefore, you have a 100% chance of getting a green or red marble.

Hope that helps a bit!

Answer:

<4 = 22

Step-by-step explanation:

<4 = x

x + 158 = 180

x = 22

Same side interior angles are supplementary

9514 1404 393

Answer:

  8. CE

  9. b) no

  10. 22

Step-by-step explanation:

8. The smallest side is opposite the smallest angle (D=58°). The smallest side is CE.

__

9. The sum of the shortest sides must exceed the longest side.

  1 + 2 > 5 . . . . NOT TRUE -- no triangle can be formed

__

10. The possible lengths of the third side range between the difference and the sum of the given sides. If that length is x, then we must have ...

  15-8 < x < 15+8

  7 < x < 23

The largest integer value of x is 22. The third side can be at most 22.

Answer:

For [tex]x = -2[/tex]

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

In this question:

[tex]f(x) = x^2 - 2x[/tex]

[tex]g(x) = 6x + 4[/tex]

[tex]f(x) + g(x) = (f+g)(x)  = x^2 - 2x + 6x + 4 = x^2 + 4x + 4[/tex]

Which is a value of x does (f+g)(x) =0

[tex]x^2 + 4x + 4[/tex]

Quadratic equation with [tex]a = 1, b = 4, c = 4[/tex]

So

[tex]\Delta = 4^{2} - 4*1*4 = 0[/tex]

[tex]x_{1} = \frac{-4 + \sqrt{0}}{2} = -2[/tex]

[tex]x_{2} = \frac{-4 - \sqrt{0}}{2} = -2[/tex]

For [tex]x = -2[/tex]

Answer:

(4,0) and (0,-2)

Step-by-step explanation:

To find the intercepts, substitute a zero for the opposite letter so

to find y-int x = 0 so 3(0) - 6y = 12   so -6y = 12, so y = -2

to find x-int y = 0 so 3x - 6(0) = 12   so 3x = 12, so x = 4

Answer: What are the options?

What are the options?

Step-by-step explanation:

Answer:

angle 1= 120 and angle 2 and 3 = 30

Step-by-step explanation:

Answer:

answer is below

Step-by-step explanation:

angle1=120°

[tex]angle2=angle3=\frac{180-120}{2} =30[/tex]°

Answer:

path width = 3 m

Step-by-step explanation:

let x = the width of the path

(12 + 2x)(26 + 2x) = 576

312 + 24x + 52x + 4x² = 576

4x² + 76x - 264 = 0

divide both sides of the equation by 4:

x² + 19x - 66 = 0

(x + 22)(x - 3)= 0

x = 3 m

Answer:

acute, equilateral

Step-by-step explanation:

Answer:

Acute, equilateral

Step-by-step explanation:

Angle of 60 is acute and it is an equilateral triangle.

Answer:

$86.75 i think

Step-by-step explanation:

Answer:

12 dimes and 2 quarters

Step-by-step explanation:

12 dimes is 120 cents and 2 quarters is 50 cents that perfectly gives us 170 cents. As worded if he has 11 Dimes and the rest is quarters and we want 170 cents then it's impossible. 11 dimes is going to be 110 cents plus 2 quarters is 160 cents or plus 3 quarters is going to be 185 cents. therefore you are either short or over the money.

Answer:

Im not so sure about the answers that i picked if you want to use them use them

Step-by-step explanation:

y=13-2x^2

y=x+7

2=y + x^5

Answer:

7.8 months but you can round it to 8 months

Step-by-step explanation:

Answer:

x = 225.16 feet

Step-by-step explanation:

Given that,

The angle between the piling and the pier is 60°.

A surveyor has set up his transit on one side of the lake 130 feet from a piling that is directly across from a pier on the other side of the lake.

We need to find the distance between the piling and the pier. Let the distance be d. Using the trigonometry to find it as follows :

[tex]\tan(60)=\dfrac{x}{130}\\\\x=\tan(60)\times 130\\\\x=225.16\ feet[/tex]

So, the required distance is 225.16 feet.

Answer:

Jose's cost basis for the delivery van = $42,410

Step-by-step explanation:

Cost basis of a fixed asset can be described the original value of an asset for tax purposes which includes the purchase price, shipping, installation, sales tax, and other costs incurred that are related to the purchase of the fixed asset and to make it be in conformity with other assets in its class.

Based on this explanation, Jose's cost basis for the delivery van can be calculated as follows:

Jose's cost basis for the delivery van = Winning bid + Shipping costs + Cost of painting to match other fleet vehicles + Sales tax = $34,750 + $1,470 + $1,590 + $4,600 = $42,410

Answer: $240.75

Step-by-step explanation:

Answer:

Step-by-step explanation:

UV=(-9–(-2)),(-3–(-6))

UV=(-9+2),(-3+6)

UV=(-7,3)

I think you find the change in the x and y components.

Answer:

1.B 2.C 3.C

Step-by-step explanation:

Answer:

BCC

Step-by-step explanation:

Answer:

d = 5

Step-by-step explanation:

For:

(X1, Y1) = (2, 3)

(X2, Y2) = (2, 8)

Distance Equation Solution:

d=(2−2)2+(8−3)2−−−−−−−−−−−−−−−√

d=(0)2+(5)2−−−−−−−−−√

d=0+25−−−−−√

d=2–√5

d=5

Answer:

C

Step-by-step explanation:

y = mx + b

Choice C is y = (-1/4)x + 1

m or slope = -1/4

Answer:

Um is there more to the question?

Step-by-step explanation:

Answer:

The answer is 6 and 1/12 yards :]

Answer:

(12000 - 10920) / 12000 = 0.09

Step-by-step explanation:

Answer:

135 per year because 675 ➗ 5 = 135

Answer:

perhaps around 7.5?

Step-by-step explanation:

hope this is right :)