Until the scale was changed in 1995, SAT scores were based on a scale set many years ago. For Math scores, the mean under the old scale in the 1990s was 470 and the standard deviation was 110. In 2013 the mean was 515 and the standard deviation was 116. Gina took the SAT in 1994 and scored 500 on the Math test. Her cousin Colleen took the SAT in 2013 and scored 530 on the Math test. Who did better relative to their peers, and how can you tell? Group of answer choices Colleen—she scored 30 points higher than Gina. Gina—the standard deviation was bigger in 2013. Gina—her standardized score is higher than Colleen’s. Colleen—her standardized score is higher than Gina’s.

Answers

Answer 1

Answer:

Gina—her standardized score is higher than Colleen’s.

Step-by-step explanation:

Until the scale was changed in 1995, SAT scores were based on a scale set many years ago.

We solve this question using z score formula also know as standardized score formula which is given as:

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

For Gina

Gina took the SAT in 1994 and scored 500 on the Math test.

For Math scores, the mean under the old scale in the 1990s was 470 and the standard deviation was 110.

x = 500

μ = 470

σ = 110

Hence, the z score is given as:

z = 500 - 470/110

z = 0.27273

Gina's z or standardized score is 0.27273

For Colleen

Her cousin Colleen took the SAT in 2013 and scored 530 on the Math test.

In 2013 the mean was 515 and the standard deviation was 116.

x = 530

μ = 515

σ = 116

Hence, the z score is given as:

z = 530 - 515/116

z = 0.12931

Colleen's z or standardized score is 0.12931

The person who did better relative to their peers is Gina and this is because her standardized score is higher than Colleen’s.


Related Questions

A movie theater had tickets at $12 for adults, $7 for students and $5 for children under 12 years old. A total of 278 tickets were sold for one showing with a total revenue of $2600. If the number of adult tickets sold was 10 more than the combined total of student and children tickets, find a system that could model this situation

Answers

Answer:

Step-by-step explanation:

Multiply the members of the revenue equation by 2:

system%28a%2Bs%2Bc=278%2C12a%2B7s%2B5c=2600%2Ca=2s-10%29

Three linear equations in three unknowns. Solve.

Un ascensor está en el segundo subsuelo, sube
seis pisos, luego baja cinco, vuelve a subir ocho
y finalmente baja trece. /En qué piso se quedó

Answers

Answer:

8th floor

Step-by-step explanation:

Because he went up twice

From a room temperature of 42 degrees, the temperature dropped by 20 degrees, then rose by 75 degrees and finally dropped by 1 degree. What is the temperature after the given changes?

Answers

Im pretty sure it is 95:)

Witch fraction is not in simplest form 5/15 or 5/12

Answers

5/15, it can still be divided by 5
5/15 in simplest form is 1/5

I am stuck here, please help :(

Answers

Answers:

7 i think.

Step-by-step explanation:

What is the slope of у= 3х — 9​

Answers

Answer:

3?

Step-by-step explanation:

3 is the slope intercept I believe

Rico represents the inequality Negative 3 (StartFraction 8 over x minus 5 EndFraction greater-than negative 16) with the sentence "The product of –3 and the quotient of 8 and the difference of a number and 5 is at least –16." Which describes Rico's error?

Answers

Answer:

B

Step-by-step explanation:

Answer:

the option for ur question is b

Write an equation in Point Slope Form that has a slope
of -2 and passes through the point (5,7)

Answers

Answer:

y-7=-2(x-5)

Step-by-step explanation:

point slope equation is y - y1=m(x-x1). so input the slope (m) and the point (x,y) into y1 and x1

What is this one for factor to this?

Answers

(x-10)(x+5) x intercepts would be (10,0) and (-5,0)

Help me, please !!!!

Answers

20 and 3/4 is 20.75
20 and 7/8 is 20.875
20 and 1/5 is 20.2
20 and 4/5 is 20.8

Write a linear function f with the values f(0)=−3 and f(7)=11.

Answers

Answer:  f(x)= 2x -3

Step-by-step explanation:

Using the given information we can come up with two points that will be use to find the slope and y-intercept.  

If you input 0 you get -3  so the point will be (0,-3)

If you input 7  you get 11  so the point will be (7,11)

Now use the points to find the difference in their y coordinates and divide it by the difference in their x coordinates to find the slope.

y coordinates:  -3 - 11 = -14

x coordinates:  0 - 7 = -7

  -14/-7 = 2

Since the slope is two, we will use the slope intercept formula (y = mx +b) to find the b which is the y intercept.

Use one of the points and input its x and y coordinates into the formula including the slope to solve for b.

-3= 2(0) +b

-3 = 0 + b

b = -3  

f(x) is the same as y in the formula, meaning that the equation will be  

 f(x) = 2x -3

given 2x +8y=16, find the x- and y- intercepts

Answers

Answer:

y-intercept: 2

x-intercept: 8

Step-by-step explanation:

I just graphed it into desmos. Wherever it crossed the axis, it's the answer.

1/4 kilometer in 1/3 hour?

Answers

Answer:

That means it will take you 1 and 1/3 hour to go a kilometer.

Parallel, Perpendicular or neither
Y=-2/5x+3 Y=2/5x+8

Answers

Answer:

Perpendicular  

Step-by-step explanation:

The slopes are the same except one is negative therefore they are perpendicular

Gary had a 40% discount for new tires. The sale price of a tire was $96.25. What was the original price of the tire? Round to the nearest cent

Answers

Answer:

Step-by-step explanation:

If the price after the discount is subtracted is $96.25 then this is what you do

u times 0.40 x 96.25 which is 38.5 so since you are wanting to know what the price was before the discount you would add 38.5 to 96.25 and when you do that your answer is 134.75

but if you are just trying to get the discount from 96.25 you subtract 38.5 from 96.25

The original price of the tire that Gary would have paid had it not been for the discount is $160.42

Gary spent $96.25 on a new tire but this tire had been discounted by 40%.

This means that $96.25 is the result of the original price being reduced by 40%. Assuming that original price is x, the relevant expression would be:

x - (x × 40%) = 96.25

x - 0.4x = 96.25

0.6x = 96.25

x = 96.25 / 0.6

x = $160.42

In conclusion, the original price was $160.42.

Find out more at https://brainly.com/question/2393942.

Write an
equation for the line in the given form.
slope is -3 and (6,8) is on the line; standard form
Yo

Answers

Answer:

Step-by-step explanation:

Negative3 is6,8

Answer:

Negative3 is6,8

Step-by-step explanation:

i know it

Pls help me find the slope

Y(-5,0), Z(-2,-4)

Answers

Answer:

     -4 / 3

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -4 -0)/( -2 - -5)

     ( -4 -0)/( -2 +5)

     -4 / 3

Answer:

[tex]m=\frac{-4}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Y (-5, 0)

Z (-2, -4)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{-4-0}{-2+5}[/tex]Subtract/Add:               [tex]m=\frac{-4}{3}[/tex]

Determine weather the triangles a are similar

Answers

Answer:

Step-by-step explanation:

Question, write an expression representing the supplies needed. 1. She needs one mouse for each snake, plus two extra mice. How many mice are needed if the number of the snakesas: a. 10 b. 6 C. X

Answers

Answer:

a. 12 mice

b. 8 mice

c. (X + 2) mice

Step-by-step explanation:

Given that one mouse is required for each snake, this implies that a snake is accompanied by a mouse. But two extra mice are included, let the number of snake be represented by N and number of mice be represented by L.

Supply needed = N + L + 2

                          = 2N + 2      (∵ N = L)

So that:

Number of mice needed = N + 2

a. When the number of snake is 10, the number of mice needed would be:

Number of mice needed = 10 + 2

                         = 12

Number of mice needed is 12.

b. When the number of snake is 6, the number of mice needed would be:

Number of mice needed = 6 + 2

                         = 8

Number of mice needed is 8.

c. When the number of snake is X, the number of mice needed would be:

Number of mice needed = X + 2

ANSWER QUICK FOR BRAINIEST: When using scientific notation, a positive exponent means . . . the standard number is less than one the negative sign doesn't have a meaning None of the above the standard number is greater than one

Answers

Answer:

The standard number is greater than one. Negative means it's going to be .xxx

Answer:

Ste scientific notation, a positivep-by-step explanation:

A box has 39kg mass? the surfcae are of the box
has 150m. calculate the pressure exterted by the box on the floor

Answers

Answer:

2.548 pascal

Step-by-step explanation:

force=mass×acceleration due to gravity

force=39×9.8

pressure(p)=force/area

p=382.2/150

p=2.548 pa

Write the equation of the quadratic function whose graph passes through [tex](-3,2)[/tex], [tex](-1,0)[/tex], and [tex](1,6)[/tex].

Answers

Answer:

[tex]f(x)=x^2+3x+2[/tex]

Step-by-step explanation:

We want to write the equation of a quadratic whose graph passes through (-3, 2), (-1, 0), and (1, 6).

Remember that the standard quadratic function is given by:

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

Since it passes through the point (-3, 2). This means that when [tex]x=-3[/tex], [tex]f(x)=f(-3)=2[/tex]. Hence:

[tex]f(-3)=2=a(-3)^2+b(-3)+c[/tex]

Simplify:

[tex]2=9a-3b+c[/tex]

Perform the same computations for the coordinates (-1, 0) and (1, 6). Therefore:

[tex]0=a(-1)^2+b(-1)+c \\ \\0=a-b+c[/tex]

And for (1, 6):

[tex]6=a(1)^2+b(1)+c\\\\ 6=a+b+c[/tex]

So, we have a triple system of equations:

[tex]\left\{ \begin{array}{ll} 2=9a-3b+c &\\ 0=a-b+c \\6=a+b+c \end{array} \right.[/tex]

We can solve this using elimination.

Notice that the b term in Equation 2 and 3 are opposites. Hence, let's add them together. This yields:

[tex](0+6)=(a+a)+(-b+b)+(c+c)[/tex]

Compute:

[tex]6=2a+2c[/tex]

Let's divide both sides by 2:

[tex]3=a+c[/tex]

Now, let's eliminate b again but we will use Equation 1 and 2.

Notice that if we multiply Equation 2 by -3, then the b terms will be opposites. So:

[tex]-3(0)=-3(a-b+c)[/tex]

Multiply:

[tex]0=-3a+3b-3c[/tex]

Add this to Equation 1:

[tex](0+2)=(9a-3a)+(-3b+3b)+(c-3c)[/tex]

Compute:

[tex]2=6a-2c[/tex]

Again, we can divide both sides by 2:

[tex]1=3a-c[/tex]

So, we know have two equations with only two variables:

[tex]3=a+c\text{ and } 1=3a-c[/tex]

We can solve for a using elimination since the c term are opposites of each other. Add the two equations together:

[tex](3+1)=(a+3a)+(c-c)[/tex]

Compute:

[tex]4=4a[/tex]

Solve for a:

[tex]a=1[/tex]

So, the value of a is 1.

Using either of the two equations, we can now find c. Let's use the first one. Hence:

[tex]3=a+c[/tex]

Substitute 1 for a and solve for c:

[tex]\begin{aligned} c+(1)&=3 \\c&=2 \end{aligned}[/tex]

So, the value of c is 2.

Finally, using any of the three original equations, solve for b:

We can use Equation 3. Hence:

[tex]6=a+b+c[/tex]

Substitute in known values and solve for b:

[tex]6=(1)+b+(2)\\\\6=3+b\\\\b=3[/tex]

Therefore, a=1, b=3, and c=2.

Hence, our quadratic function is:

[tex]f(x)=x^2+3x+2[/tex]

The figure was created by repeatedly reflecting triangle NMP. A figure is created by continuously reflecting triangle N M P. The length of side N M is 6 inches, the length of side M P is 4 inches, and the length of side N P is 8 inches. What is the perimeter of the figure? 36 in. 42 in. 44 in. 48 in.

Answers

Answer:

42in

Step-by-step explanation:

just took quiz

Answer:

42 100% edg

Step-by-step explanation:

as we can see form the digram if you put it in a more relistic way 42 would dend up there for 42

What is the value of x?
1. 142
2. 71
3. 152
4. 76​

Answers

Answer:

142

Step-by-step explanation:

What is the solution to the system of equations graphed below?


On a coordinate plane, 2 lines intersect at (2, - 3).


(2, - 3)


(- 3, 2)


(- 2, 3)


(3, 2)

Answers

Answer:

(2,-3)

Step-by-step explanation:

When they intersect it called a solution

Hope its right

PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

the 3rd istansa ha?

Step-by-step explanation:

Sana maka tulong

A softball team is ordering pizza to after the tournament they plan to order a cheese pizza that cost eight dollars each and pepperoni pizza cost $12 each the odyssey pizzas and P pepperoni pizzas which expression represents the

Answers

A softball team is ordering pizza to after the tournament they plan to order a cheese pizza(c) that cost eight dollars each and pepperoni pizza(P) cost $12 each gotten from the odyssey pizzas.

Which expression represents the total cost of all of the pizzas they order?

Answer:

t = 8c + 12P

Step-by-step explanation:

We are told that cheese pizza(c) costs eight dollars.

This means for c number of cheese pizzas, cost is $8c

Also, we are told that cost of pepperoni pizza is $12 each.

So, for P number of pepperoni pizzas, the cost is $12P

Therefore expression of total cost(t) will be the sum of the cost of c number of cheese pizzas and P number of pepperoni pizzas.

Thus;

t = 8c + 12P

When Charlotte left her house this morning, her cell phone was 30% charged and it

then started to lose 2.5% charge for each hour thereafter. Write an equation for B, in

terms of t, representing the charge remaining in Charlotte's battery, as a percentage,

t hours after Charlotte left her house.

Answers

Answer:

B = 32.5 - 2.5t

Step-by-step explanation:

Let the initial percentage to be 30%

If it started to loose 2.5% every hour where;

t represents the time after Charlotte left her house

The amount of percent remaining every hour will form an arithmetic sequence as shown;

30, (30-2.5), (30-5.0),...

30, 27.5, 25.0...

Using the nth term for calculating an arithmetic sequence

B = a + (t-1)d

a is the first term = 30

d is the common difference = 27.5-30 = 25-27.5 = -2.5

t is the time

Substitute the given values into the formula;

B = 30 + (t-1)(-2.5)

B = 30+(-2.5t+2.5)

B = 30-2.5t+2.5

B = 32.5 - 2.5t

Hence equation for B, in  terms of t, representing the charge remaining in Charlotte's battery, as a percentage,  t hours after Charlotte left her house is B = 32.5 - 2.5t

If B is in the interior of ∠DEF, m∠DEB = 27.2, and m∠DEF = 92.5, find m∠BEF. (Lesson 2-7)

Answers

Answer:

m∠BEF = 65.3°

Step-by-step explanation:

Given:

m∠DEB = 27.2,

m∠DEF = 92.5

Required:

m∠BEF

SOLUTION:

Since B is the interior of ∠DEF, it means ∠DEB and ∠BEF are adjacent angles that make up ∠DEF. And they share the same side, BE.

Therefore:

m∠BEF + m∠DEB = m∠DEF (angle addition postulate)

m∠BEF + 27.2 = 92.5

Subtract 27.2 from each side

m∠BEF + 27.2 - 27.2 = 92.5 - 27.2

m∠BEF = 92.5 - 27.2

m∠BEF = 65.3°

Answer:

92.5 and 27.2 and 65.3 will be the answer.

Find x and the lengths of sides JM, MN, and JN. Triangle JMN is an isosceles triangle with side JM ≅ side MN. JM = 2x - 5, MN = 3x -9, and JN = x - 2.

Answers

Answer:

x = 4

JM ≅ MN = 3

JN = 2

Step-by-step explanation:

In an isosceles triangle, two of the sides are equal. Given the lengths of sides of triangle JMN as JM, MN, and JN where JM ≅ MN

Given

JM = 2x - 5

MN = 3x -9, and

JN = x - 2.

Since JM≅ MN then;

2x - 5 = 3x-9

Collect like terms;

2x-3x = -9+5

-x = -4

multiply both sides ny -1;

-(-x) = -(-4)

x = 4

For side JM;

JM = 2x-5

JM = 2(4)-5

JM = 8-5

JM = 3

Since JM ≅ side MN, hence;

MN = 3

For side JN;

JN = x-2

JN = 4-2

JN = 2

Answer:

good job

Step-by-step explanation:

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