Tami takes the MCAT because she plans to apply to Medical School, and Vu takes the LSAT because he plans to apply to Law School. Scores on the MCAT follow a Normal distribution with a mean of 505.6 points and a standard deviation of 9.3 points. Scores on the LSAT follow a Normal distribution with a mean of 150.7 points and a standard deviation of 10.2 points. If Tami earns 524.2 points on the MCAT and Vu earns 171.1 points on the LSAT, who performed better on their respective test?

a. Tami
b. Vu
c. Both Tami and Vu performed equally well.
d. It's impossible to compare scores on two totally different tests, so this question cannot be answered.

Answers

Answer 1

Answer:

c. Both Tami and Vu performed equally well.

Step-by-step explanation:

To solve this question, we use z score

The formula for calculating a z-score is is z = (x-μ)/σ

where x is the raw score

μ is the population mean

σ is the population standard deviation.

a) For Tami , who took MCAT

We are told:

Scores on the MCAT follow a Normal distribution with a mean of 505.6 points and a standard deviation of 9.3 points.. If Tami earns 524.2 points on the MCAT.

x = 524.2 points

μ = 505.6 points

σ = 9.3 points

z = 524.2 - 505.6/9.3

= 2

The z score for Tami is 2

For Vu, who took LSAT

We were told:

Scores on the LSAT follow a Normal distribution with a mean of 150.7 points and a standard deviation of 10.2 points. Vu earns 171.1 points on the LSAT.

x = 171.1 points

μ = 150.7 points

σ = 10.2 points

z = 171.1 - 150.7/10.2

z = 2

The z score for Vu is also equal to 2

Therefore, we can say the bout Tami and Vu performed equally well.

Option c is the correct answer.


Related Questions

I NEED HELP
(-8, 6); slope = 1/4

Answers

6 = 1/4(-8) +b

6 = -2 +b

8 = b

y = 1/4x +8

The equation of this line having slope 1/4 and points (-8,6) is y = (1/4)x + 8.

What is slope ?

Slope is the rate of change.It can also be thought of as rise over run.

According to the given question slope(m) is 1/4 and point is (-8,6).

We know equation of a line in slope intercept form is y = mx + b, where b is the y intercept.

∴ 6 = (-8)1/4 + b.

  6 = - 2 + b.

  b = 8.

Now the equation of this line in slope intercept from can be written as

y = (1/4)x + 8.

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if x=-3 is the only x-incercept of the graph of a quadratic equation which statement best describes the discrinant of the equation

Answers

Answer:

The discriminant must be zero.

Step-by-step explanation:

Quadratic Equation

The standard representation of a quadratic function is:

[tex]f(x)=ax^2+bx+c[/tex]

where a,b, and c are constants.

The zeros, roots, or x-intercepts can be found by solving the equation:

[tex]ax^2+bx+c=0[/tex]

We can use the quadratic formula to find the roots:

[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Note this formula gives us two different roots if the square root is non-zero.

The only way there can be only one x-intercept is because the square root is zero.

If the square root is zero, then

[tex]b^2-4ac =0[/tex]

The expression is called the discriminant.

Thus, if x=-3 is the only x-intercept of the graph of a quadratic function, then the discriminant must be zero.

How my calories are in 48 oz if tea

Answers

Answer:

2 calories

Step-by-step explanation:

yes

Answer:

The answer you are looking for is 2 calories.

Step-by-step explanation:

1 serving 8 fl oz cup (238 g)

40% of 250 is equal to 60% of what number

Answers

Answer:

24

Step-by-step explanation:

250% × ? = 60

? =

60 ÷ 250% =

60 ÷ (250 ÷ 100) =

(100 × 60) ÷ 250 =

6,000 ÷ 250 =

24

Naron is 3 times older than his sister. In 2 years, Naron will be twice as old as his sister. How old is each now?

Answers

Answer:

A possible answer is that Naron is 6 yrs old and his sister is 2 yrs old.

Step-by-step explanation:

6 is 3 times as much as 2

(6+2)/2=2+2

8/2=4

Answer:

Naron is 6 years old and his sister is 2 years old

Step-by-step explanation:

y - 5 = 1/10 (x – 10)


How do you rewrite the equation in slope-intercept form?

Answers

you just have to add the five to both sides and then combine like terms
ignore the top equation

Answer.

Y=|10x-100|+5

Help ASAP). Which relation is a function. Where the hand is at thats graph A across is graph B. The graph under graph a is ( graph C). Under graph B is (graph D). Need answer now please and thank you. [ I chose B but not 100% sure]​

Answers

Graph D, since it passes the vertical line test.

The wind is blowing N 35.0 degrees W at 1.60 * 10^2 mph. A plane has an engine speed of 3.20 * 10^2 mph. Where should the pilot point the plane in order to fly straight W?

Answers

Answer: 24.2° SouthWest

Step-by-step explanation:

First step: DRAW A PICTURE of the vectors from head to tail (see image)

I created a perpendicular from the resultant vector to the vertex of the given vectors so I could use Pythagorean Theorem to find the length of the perpendicular. Then I used that value to find the angle of the plane.

Perpendicular (x):

 cos 35° = adjacent/hypotenuse

  cos 35° = x/160

→ x = 160 cos 35°

Angle (θ):

sin θ = opposite/hypotenuse

sin θ = x/320

sin θ = 160 cos 35°/320

    θ = arcsin (160 cos 35°/320)

    θ = 24.2°

Direction is down (south) and left (west)

Perry is responsible for distributing soccer balls to the kids at soccer camp. During practice, Perry would like each group of 5 children to share two soccer balls. How many soccer balls does Perry need if 25 kids attend camp?

Answers

Q: Perry is responsible for distributing soccer balls to the kids at soccer camp. During practice, Perry would like each group of 5 children to share two soccer balls. How many soccer balls does Perry need if 25 kids attend camp?

A: 20 soccer balls

Hope this helped!

Graph y=3/4+4 Please! I need help!

Answers

How to do it
First on the Y AXIS go up to #4 then go up 3 more and right 4 and keep repeating till u can’t put any kore points on the graph

Point A is at (-2, 4) and point M is at (2.5, 3.5).
Point M is the midpoint of point A and point B.
What are the coordinates of point B?

Answers

Answer:

Coordinates of point B: (7, 3)

Step-by-step explanation:

Given M(2.5, 3.5) as midpoint of AB, and A(-2, 4),

let [tex] A(-2, 4) = (x_2, y_2) [/tex]

[tex] B(?, ?) = (x_1, y_1) [/tex]

[tex] M(2.5, 3.5) = (\frac{x_1 +(-2)}{2}, \frac{y_1 +(4)}{2}) [/tex]

Rewrite the equation to find the coordinates of B

[tex] 2.5 = \frac{x_1 - 2}{2} [/tex] and [tex] 3.5 = \frac{y_1 + 4}{2} [/tex]

Solve for each:

[tex] 2.5 = \frac{x_1 - 2}{2} [/tex]

[tex] 2.5*2 = \frac{x_1 - 2}{2}*2 [/tex]

[tex] 5 = x_1 - 2 [/tex]

[tex] 5 + 2 = x_1 - 2 + 2 [/tex]

[tex] 7 = x_1 [/tex]

[tex] x_1 = 7 [/tex]

[tex] 3.5 = \frac{y_1 + 4}{2} [/tex]

[tex] 3.5*2 = \frac{y_1 + 4}{2}*2 [/tex]

[tex] 7 = y_1 + 4 [/tex]

[tex] 7 - 4 = y_1 + 4 - 4 [/tex]

[tex] 3 = y_1 [/tex]

[tex] y_1 = 3 [/tex]

Coordinates of point B: (7, 3)

Answer:

Coordinates of point B: (7, 3)

Step-by-step explanation:

Given M(2.5, 3.5) as midpoint of AB, and A(-2, 4),

Rewrite the equation to find the coordinates of B

Coordinates of point B: (7, 3)

An acre is a unit of measure for area. One acre ie equal to 43,560 square feet. Often, an acre is a rectangle that measures 660 feet by 66 feet. However, the length and width of the rectangle can vary. An acre can actually have any shape, as long as it measures exactly 43,560 square feet. Rachel purchased 1/5 acre of land in the shape of an isosceles triangle. What is the area of the land Rachel purchased?

Answers

Answer:

area of land purchased =247

The area of the land Rachel purchased is approximately 10,055.64 square feet.

How to calculate the area?

We can start by finding the area of one acre in square feet, which is given as 43,560 square feet.

To find the area of 1/5 acre, we can divide 43,560 by 5, which gives us 8,712 square feet.

Since Rachel's land is in the shape of an isosceles triangle, we need to find the base and height of the triangle in order to calculate its area. Let's call the length of the base "b" and the height "h".

We know that the area of a triangle is given by the formula:

Area = (1/2) x base x height

So, we can rearrange this formula to solve for the height:

height = 2 x Area / base

Now we can substitute in the values we know:

Area = 8,712 square feet

base = unknown

height = unknown

We also know that the triangle is isosceles, which means that two of the sides are equal in length. Let's call the length of one of these sides "s". Then the length of the base can be expressed in terms of s as:

base = 2s

We can use the Pythagorean theorem to find the height in terms of s:

s² + (h)² = (2s)²

s² + h² = 4s²

h² = 3s²

h = s x √(3)

Now we can substitute this expression for the height in terms of s into the formula we derived for the area:

Area = (1/2) x base x height

Area = (1/2) x 2s x s x √(3)

Area = s² x √(3)

We know that the area of the triangle is 1/5 of an acre or 8,712 square feet, so we can set this equal to the expression we just derived for the area and solve for s:

s² x √(3) = 8,712

s² = 8,712 / √(3)

s = √(8,712 / √(3))

Now that we know the length of one of the equal sides of the isosceles triangle, we can find the length of the base by multiplying by 2:

base = 2s

base = 2 x √(8,712 / √(3))

Finally, we can substitute in the values we just found for the base and height into the formula for the area of the triangle:

Area = (1/2) x  base x height

Area = (1/2) x 2 x √(8,712 / √(3)) x √(3) x √(8,712 / √(3))

Area = 2 x 8,712 / √(3)

Area = 17,424 / √(3)

Therefore, the area of the land Rachel purchased is approximately 10,055.64 square feet.

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Which expression is another way to write 10,000,000? 10 × 10 × 10 × 10 × 10
10 × 10 × 10 × 10 × 10 × 10
10 × 10 × 10 × 10 × 10 × 10 × 10
10 × 10 × 10 × 10 × 10 × 10 × 10 × 10

Answers

Answer:

Step-by-step explanation:

10^6

Answer:

10^6

Step-by-step explanation:

Which of the following is not a rational number? (-12/35) (10) (2/0) (2 1/2)​

Answers

Answer:

(- 12/35) THIS IS THE MAIN ANSWER YOU CAN SEE IN THE GOOGLE

If martha is walking 9meters south and turns and walks 10meters west how far is she from her starting point?

Answers

Answer:

She is 13.45 meters from her starting point.

Step-by-step explanation:

Use Pythagorean Theorem (a^2+b^2=c^2) so 9^2+10^2=c^2. Solve it algebraically and you get c= 13.45 (rounded to nearest hundredth).

13.45 meters long is how far

Can anybody help and get this right I keep getting it wrong ..

Answers

Answer:its d

Step-by-step explanation:

For babysitting, Zou Jing charges a flat fee of $10, plus $15 per hour. Write an equation for the cost, C, after h hours of babysitting. How much money will she make if she baby-sits 5 hours? How many hours does Zou Jing need to babysit to afford a PS5 ($500)?

Answers

Answer:

C=5h+3 when h=5

C=28

Step-by-step explanation:

Find the unknown value in the proportion.
4/7=?/14. please help

Answers

Answer:

8

Step-by-step explanation:

4/7 = ?/14

Multiply the numerator and denominator of the left fraction by 2.

8/14 = ?/14

That means that ? = 8

Answer: 8

Answer:

8

Step-by-step explanation:

Step 1:

4/7 = x/14        Proportion

Step 2:

7x = 56       Multiply

Step 3:

x = 56 ÷ 7       Divide

Answer:

x = 8

Hope This Helps :)

Si tienes 5 manzanas para comer durante la semana y te comes el 20% el primer día cuántas manzanas quedan para el resto de la seman?

Answers

Answer: El o Ella tiene 4 manazanas izquierda comer para el semana

Step-by-step explanation: Si necesitas ayuda con algo más estoy disponible generalmente de 9 a.m. a 3:50 p.m.

The number of apples left to eat are equivalent to 4.

What is percentage?

In mathematics →

a percentage is a number or ratio expressed as a fraction of 100.it is often denoted using the percent sign "%".

Given is that you have 5 apples to eat during the week and you eat 20% on the first day.

Assume the number of apples left are {x}. So, we can write -

{x] = 5 - 20% of 5

{x} = 5 - (20/100) x 5

{x} = 5 - 1

{x} = 4

Therefore,

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{Question in english -

If you have 5 apples to eat during the week and you eat 20% on the first day, how many apples are left for the rest of the week?}

Select each transformation that carries a square onto itself.
a reflection over one of the square's sides
3 rotation of 180' clockwise about the square's center
a rotation of 90: clockwise about the squares center
a rotation of 180: clockwise about one of the squares vertices
: reflection over one of the souare s diagonals

Answers

Answer:

1. a reflection over one of the square's sides

2. a rotation of 90: clockwise about the squares center

3. a rotation of 180' clockwise about the square's center

Step-by-step explanation:

I did a test :)

Algebra 1 unit 4 mid quiz

Answers

Answer. Option A. y>3x+2
Explanation. Because the line is dotted, we know it is a > equation. We know that in slope-intercept form, the mx stands for is the slope (rise over run), by looking at the graph, we find that the slope is in fact 3 (or 3/1). For the second part of the equation, we know it’s the y-intercept; therefore, option A is correct because the y-intercept is in fact 2. Hope this helps, let me know if it’s correct so others can use it :)
Good luck.

The inequality that represents this graph is y < 2x + 2.

What are inequalities and their types?

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a b.

a is bigger or equal value of an is indicated by the notation a b.

The dotted line represents strictly less than or greater than.

From the graph, we can conclude that when x = 0, y = 2, and when x = 1 y = 4, and values of y are strictly less.

∴ The inequality that represents this graph is y < 2x + 2.

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Question
Example
Step by Step
Jennifer is saving money to buy a bike. The bike costs
$213. She has $123 saved, and each week she adds $18
to her savings.
How long will it take her to save enough money to buy
the bike?
It will take her
weeks _____to save for the bike.

Answers

Answer:

5

Step-by-step explanation:

18x5=90+123=213.

translation is the point (2, −6). At what coordinates is the image of point (−3, −2) located under the same translation?

Answers

Answer:

hey

Step-by-step explanation:

whats the degree of the polynomial 5a-2b^2+1

Answers

Answer:

hope it helps..

Step-by-step explanation:

PLEASE THANK MY ANSWER

Find the slope of (2,-3) (-4,7)

Answers

Answer:

m = 139167 / 329 = 423 / 1 = 423

Step-by-step explanation:

\displaystyle\int_{-\infty}^\infty e^{-x^2}dx = \sqrt{\pi}

\displaystyle \sum_{n} \frac{1}{n^s} = \prod_{p} {\frac{1}{1 - \frac{1}{p^s}}}

\displaystyle n! = \int_{0}^{\infty} {x^n e^{-x} \,dx}

F(n) = \frac{(\varphi)^n - (-\frac{1}{\varphi})^n}{\sqrt{5}}

Super Glad I Could Help Today!

Brainliest?

Have A Wonderful Day!

A line is drawn on the coordinate plane that passes through the point (10,1) and has a slope of -0.5. The y-intercept of the line is

Answers

1 is the y intercept

45 degrees+2k+k=180
can you help me with this?

Answers

Answer:

k=45

Step-by-step explanation:

45+2k+k=180

Step 1: Simplify both sides of the equation.

45+2k+k=180

(2k+k)+(45)=180(Combine Like Terms)

3k+45=180

3k+45=180

Step 2: Subtract 45 from both sides.

3k+45−45=180−45

3k=135

Step 3: Divide both sides by 3.

3k/3=135/3

k=45

Find the value of x:

Answers

To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result. There you go!

Which postulate or theorem proves that these two triangles are
congruent?
HL Congruence Theorem
SAS Congruence Postulate
ASA Congruence Postulate
AAS Congruence Theorem

Answers

Answer:

ASA

Step-by-step explanation:

Took the test.

0.5 mi = 2, 640 ft
O True
False

Answers

The answer is true, 1 mile is 5280 feet

Answer:True

Step-by-step explanation:

If you multiply the length value, you would get 2640 ft, so the answer is true.

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