MATHEMATICS COLLEGE

I need help please help me

Answers

Answer 1

Answer:

Answer:

h(x) = 1/4 x - 2

Step-by-step explanation:

f(x) = 4x + 8

y = 4x + 8

x = 4y + 8

4y = x - 8

y = 1/4 x - 2

h(x) = 1/4 x - 2

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The Graduate Record Examination (GRE) is a standardized test that students usually take before entering graduate school. According to the document Interpreting Your GRE Scores, a publication of the Educational Testing Service, the scores on the verbal portion of the GRE are (approximately) normally distributed with mean 462 points and standard deviation 119 points. (6 p.) (a) Obtain and interpret the quartiles for these scores. (b) Find and interpret the 99th percentile for these scores

Answers

Answer:

(a) The first quartile is 382.27 and it means that at least el 25% of the scores are less than 382.27 points.

The second quartile is 462 and it means that at least el 50% of the scores are less than 462 points.

The third quartile is 541.73 and it means that at least el 75% of the scores are less than 541.73 points.

(b) The 99th percentile is 739.27 and it means that at least el 99% of the scores are less than 739.27 points.

Step-by-step explanation:

The first, second the third quartile are the values that let a probability of 0.25, 0.5 and 0.75 on the left tail respectively.

So, to find the first quartile, we need to find the z-score for which:

P(Z<z) = 0.25

using the normal table, z is equal to: -0.67

So, the value x equal to the first quartile is:

$z=(x-m)/(s)\n x=z*s +m\nx =-0.67*119 + 462\nx=382.27$

Then, the first quartile is 382.27 and it means that at least el 25% of the scores are less than 382.27 points.

At the same way, the z-score for the second quartile is 0, so:

$x=0*119+462\nx=462$

So, the second quartile is 462 and it means that at least el 50% of the scores are less than 462 points.

Finally, the z-score for the third quartile is 0.67, so:

$x=z*s +m\nx =0.67*119 + 462\nx=541.73$

So, the third quartile is 541.73 and it means that at least el 75% of the scores are less than 541.73 points.

Additionally, the z-score for the 99th percentile is the z-score for which:

P(Z<z) = 0.99

z = 2.33

So, the 99th percentile is calculated as:

$x=z*s +m\nx =2.33*119 + 462\nx=739.27$

So, the 99th percentile is 739.27 and it means that at least el 99% of the scores are less than 739.27 points.

A baseball is hit inside a baseball diamond with a length and width of 90 feet each. What is the probability that the ball will bounce on the pitchers mound, if the diameter of the mound is 18 feet? Assume that the ball is equally likely to bounce anywhere in the infield. When applicable, leave your answer in terms of pie and include all necessary calculations.

Answers

Answer:

$(\pi )/(100)$

Step-by-step explanation:

The first thing to notice is that the diamond is just a square rotated 45 degrees square, with 90 feet sides, so the total area of the diamond is:

A(square)= l x l = 90 ft * 90 ft = 8100 $ft^(2)$

We also need to calculate the area of the mound, assuming it being a circle:

A(circle)= $\pi * r^(2)$ And r=diameter/2= 18 ft/2 = 9 ft

A(circle) = $\pi * (9 ft)^(2)$ = 81 $\pi ft^(2)$

Now since the ball has an equal chance of bouncing anywhere in the field, the probability would be the ratio of the area occupied by the mound inside of the diamond.

P= $(81\pi ft^(2))/(8100 ft^(2))$ = $(\pi )/(100)$

90(squared) + 90 (squared) = C (squared)
(we use 90 because the base path is 90 ft long since the diamond is a square that makes all sides 90 ft long)
8100 + 8100 = c(squared)
16200 = c(squared)
we will get the square root of 16200 to get the diagonal length
C=127.3 ft, and since it is the diagonal distance we will device it to 2, to get the distance from the pitcher ro the 2nd base.
127.3/2 = 67.7 ft.
67.7 ft is the distance from the pitcher to the 2nd base.

Consider this composite figure that is made of two half spheres a cylinder. A composite figure is comprised of one cylinder and two half spheres. The cylinder has a height of 9 millimeters and radius of 5 millimeters. The volumes of each figure that make the composite figure have been determined. Sphere V = 500 3 π mm3 Cylinder V = 225π mm3 What is the volume of the composite figure?

Answers

Answer:

the answer is c

1,175/3mm3

Step-by-step explanation:

I got it right

Answer:

Actually:

V = 500/3

la diferencia entre el mayor y menor termino de una proporcion geometrica continua es 15.si el otro termino es 10 hallar la suma de mis terminos

Answers

25=10+15=25,because I said so.

-7x = -28
solving one step equations
show your work

Answers

Answer:

x=4

Step-by-step explanation:

-7x=-28

-7 -7

x=4

Divide both sides by -7. A negative divided by a negative will give you a positive. So the answer would be x=4.

Answer:

x=4

you divide both sides by -7 to get the x by itself. -28 divided by -7 is 4.

What’s the answer and how did you get to it

Answers

Answer: Perpendicular

Step-by-step explanation:

when you have parallel lines, you have the same slope. With perpendicular lines, its opposite slopes. 1/3 flipped is 3/1 or 3. Then you change the sign. Therefore, the perpendicular slope of 1/3 is -3.

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