Answer for ( f^-1 )

Yolanda wanted to see if there was a connection between red hair and green eyes. She observed people walking past her on the str

Nutka1998 [239]

Given the frequency table on the relationship between red hair and green eyes.
 Green Eyes Eye Color other than Green Total
Red Hair 18 29 47

Hair Color
other than 114 650 764
Red

Total 132 679 811

The relative frequency table is obtained from a frequency table by dividing each entry of the requency table by the overall total of the frequency table.

The relative frequency table of the frequency table above is given below.
 Green Eyes Other Eye Color Total
Red Hair 18/811 = 0.02 = 2% 29/811 = 0.04 = 4% 47/811 = 0.06 = 6%

Other Hair
Color 114/811 = 0.14 = 14%|650/811 = 0.80 = 80%|764/811 = 0.94 = 94%

Total 132/811 = 0.16 = 16%|679/811 = 0.84 = 84%|811/811 = 1.0 = 100%

Given that x is the relative frequency of people that have other hair color and have green eyes, thus, the value of x is 14%.

Therefore, the value of x in the table = 14%.

8 0

3 years ago

Read 2 more answers

Solve for X and Y: Y=2+7x and -2x+6y=-28

Furkat [3]

Answer:

x=-1 and y=-5

Step-by-step explanation:

ሰላም!

Given expressions let them given as two equations

y=2+7x....... equation (1)
-2x+6y=-28..... equation (2)

Thus, substitute y=2+7x into equation (2)

$- 2x + 6(2 + 7x) = - 28 \\$

simplify it

$- 2x + 12 + 42x = - 28 \\ 40x + 12 = - 28$

subtract 12 from both sides

$40x + 12 - 12 = - 28 - 12 \\ 40x = - 40$

divide both sides by 40

$\frac{40x}{40} = \frac{ - 40}{40} \\ x = - 1$

Therefore, as we get the value of x=-1 substitute it to equation (1) and solve for variable y

$y = 2 + 7x \\ y = 2 + 7( -1 ) \\ y = 2 - 7 \\ y = - 5$

To be more sure make a cross check on both of the two expressions

Thus,

1) y=2+7x .... substitute y=-5 and x=-1 and check if it is equal

-5=2+7(-1)

-5=2-5

-5=-5

2)-2x+6y=-28... substitute and check

-2(-1)+6(-5)=-28

2-30=-28... (-a)(-b)=ab

-28=-28

Hope it helps!

6 0

1 year ago

Dave surveyed 80 7th-graders and 90 8th-graders. He found that about 75% of the 7th-graders like pop music, while 80% of the 8th

dimaraw [331]

8th Grade: 90 x 0.80 = 72

7th Grade: 80 x 0.75 = 60

Conclusion: 8th Graders like pop music more because 72 out of the 90 in 8th grade Dave surveyed enjoy it, compared to the 60 out of 80 in 7th grade that enjoyed it.

5 0

3 years ago

Which graph shows the solution set of x^2+9x-22/x+4<_0

motikmotik

Answer:

The Tasty Beans Coffee House being planned for the corner of SE 12th and Main will ruin a perfectly nice neighborhood. Besides the fact that Tasty Beans already has coffee shops all over the city, it will pull business away from local coffee houses that have been here for decades. In addition, there is already a parking problem on that street, and the new business will just add to the congestion. They're planning a drive-up window, too, and that will mean a steady stream of traffic in a very high-volume area. Ask anyone walking down the street, and they'll tell you this is a bad idea. I speak for my whole neighborhood when I say, "Go away, Tasty Beans!"

Step-by-step explanation:

The Tasty Beans Coffee House being planned for the corner of SE 12th and Main will ruin a perfectly nice neighborhood. Besides the fact that Tasty Beans already has coffee shops all over the city, it will pull business away from local coffee houses that have been here for decades. In addition, there is already a parking problem on that street, and the new business will just add to the congestion. They're planning a drive-up window, too, and that will mean a steady stream of traffic in a very high-volume area. Ask anyone walking down the street, and they'll tell you this is a bad idea. I speak for my whole neighborhood when I say, "Go away, Tasty Beans!"

7 0

3 years ago

In ΔXYZ, x = 8.3 meters, y = 9 meters, and z = 15 meters. Find the remaining measurements of the triangle, and round your answer

laila [671]

Answer:

The correct answer is B. ∠X = 28.6°, ∠Y = 31.2°, ∠Z = 120.2°

Step-by-step explanation:

Let's recall that for solving a SSS triangle, we :

1. Use the Law of Cosines first to calculate one of the angles

2. Use The Law of Cosines again to find another angle

3. Finally use angles of a triangle add to 180° to find the last angle.

1. Cos x = (9² + 15² - 8.3²/2 * 9 * 15)

Cos x = (81 + 225 - 68.89/270)

Cos x = 0.878

x = Cos ⁻¹ (0.878)

x = 28.6° (rounding to the next tenth)

2. Cos y = (8.3² + 15² - 9²/2 * 8.3 * 15)

Cos y = (68.89 + 225 - 81/249)

Cos y = 0.855

x = Cos ⁻¹ (0.855)

x = 31.2° (rounding to the next tenth)

3. z = 180 - 31.2 - 28.6

z = 120.2°

The correct answer is B. ∠X = 28.6°, ∠Y = 31.2°, ∠Z = 120.2°

4 0

3 years ago