Mitchell solves the following system of equations using the elimination method.

−2x+3y=6
4x−6y=−6

He chooses to eliminate the variable x.

Which statement correctly describes his process and solution?

Using the normal distribution, it is found that:

a) The 65th percentile is of 37.31.

b) The 90th percentile is of 42.68.

c) There is a 0.5705 = 57.05% probability of getting a raw score between 28 and 38.

d) There is a 0.0919 = 9.19% probability of getting a raw score between 41 and 44.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

Question a:

The 65th percentile is X when Z has a p-value of 0.65, so X when Z = 0.385.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.385 = \frac{X - 35}{6}[/tex]

[tex]X - 35 = 0.385(6)[/tex]

[tex]X = 37.31[/tex]

The 65th percentile is of 37.31.

Question b:

The 90th percentile is X when Z has a p-value of 0.9, so X when Z = 1.28.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.28 = \frac{X - 35}{6}[/tex]

[tex]X - 35 = 1.28(6)[/tex]

[tex]X = 42.68[/tex]

The 90th percentile is of 42.68.

Question c:

The probability is the p-value of Z when X = 38 subtracted by the p-value of Z when X = 28, hence:

X = 38:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{38 - 35}{6}[/tex]

[tex]Z = 0.5[/tex]

[tex]Z = 0.5[/tex] has a p-value of 0.6915.

X = 28:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{28 - 35}{6}[/tex]

[tex]Z = -1.17[/tex]

[tex]Z = -1.17[/tex] has a p-value of 0.121.

0.6915 - 0.121 = 0.5705.

There is a 0.5705 = 57.05% probability of getting a raw score between 28 and 38.

Question d:

The probability is the p-value of Z when X = 44 subtracted by the p-value of Z when X = 41, hence:

X = 44:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{44 - 35}{6}[/tex]

[tex]Z = 1.5[/tex]

[tex]Z = 1.5[/tex] has a p-value of 0.9332.

X = 41:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{41 - 35}{6}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a p-value of 0.8413.

0.9332 - 0.8413 = 0.0919

There is a 0.0919 = 9.19% probability of getting a raw score between 41 and 44.

A similar problem is given at https://brainly.com/question/24663213

Answer: 1/4, 10/25, 0.5

Explanation: It doesn't take rocket science to solve this Brainliest please!

Answer:

4.7 x [tex]10^{7}[/tex] miles

Step-by-step explanation:

You know Mars is further away from the sun

so the distance between earth and mars will be

1.4x[tex]10^{8}[/tex]-9.3x[tex]10^{7}[/tex]

14x[tex]10^{7}[/tex]-9.3x[tex]10^{7}[/tex]

4.7 x [tex]10^{7}[/tex] miles

Answer:

[tex]\huge\boxed{x > 1}[/tex]

Step-by-step explanation:

-4(x - 2) + 5 < 9

Subtract 5.

-4(x - 2) < 4

Divide by -4 (Flip the sign when dividing by a negative number).

x - 2 > -1

Add 2.

x > 1

Hope it helps :) and let me know if you want me to elaborate.

Answer:

x>1

Step-by-step explanation:

I had that same question hope that helped

Answer:

(–4)(9)

(6)(–6)

(6)(6)(–2)

Step-by-step explanation:

(–4)(–9)(2)

=36(2)

=72, No

(–4)(9)

=-36, Yes

(6)(6)(–2)

=36(-2)

=-72, Yes

(–6)(–6)

=36, No

(6)(–6)

=-36, Yes

5/6 its doneeeeeeèeeeeee

Answer:

[tex]d=18[/tex]

Step-by-step explanation:

Definition -  reduction refers to the rewriting of an expression into a simpler form

We can reduce [tex]\frac{4}{8}[/tex] to [tex]\frac{1}{2}[/tex]

Our equation is now [tex]\frac{6}{d-6} =\frac{1}{2}[/tex]

Now we can cross multiply

Definition - given an equation between two fractions or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable.

[tex]d-6=12[/tex]

We are adding because we want our variable to be on one side of the equation

[tex]d=18[/tex]

[tex]\frac{6}{18-6} =\frac{1}{2}[/tex]

Subtract and we get

[tex]\frac{6}{12} =\frac{1}{2}[/tex]

Which makes it true

Answer:

-19/132

Step-by-step explanation:

To add fractions, find the lowest common multiple of the two denominators and multiply accordingly to make both denominators the same. In this case, the lowest common multiple of 11 and 12 is 132, so we need to multiply the first number by 12 and the second by 11. So we get [tex]\frac{36}{132} + (-\frac{55}{132} )[/tex] = [tex]\frac{36-55}{132}[/tex]=[tex]\frac{-19}{32}[/tex][tex]-\frac{19}{132}[/tex]

Answer: 1756

Step-by-step explanation:

16+1+6=23

15+5+1=21

1800-23=1777

1777-21=1756

Answer:

Hi there the answer is y-10

Answer:

48

Step-by-step explanation:

take 60% of 80, or 80 x .6

Answer:

Step-by-step explanation:

Answer:

I think it is 8

Step-by-step explanation:

I found 2020's factors and took the positive non-prime factors of it, and there were 8 of them

Answer:

Option 2: y = ⅓ x

Step-by-step explanation:

A compression is the transformation of a parent graph wherein there is a decrease in the distance between the corresponding points of a graph and a line.

A vertical compression of the parent graph is represented by y = a·f(x), where the parent graph is compressed by a factor of a, given that 0 < a < 1.  

Out of all the given options, the equation in Option 2: y = ⅓ x, represents the vertical compression of the parent graph by a factor of ⅓, as the value of a is between 0 and 1. This implies that the y-coordinate of each point on the graph of y = ⅓ x is one-third the y-coordinate of the corresponding point on the graph of the parent function.

Therefore, the correct answer is Option 2: y = ⅓ x.

The number of rows that would be returned from the cross join of tables A and B is 144 rows.

The cross join of table A and table B is the cartesian product of A and B.

Since table A = 8 rows and table B = 18 rows, the cartesian product of the rows is 8 × 18 = 144 rows.

So, the number of rows that would be returned from the cross join of tables A and B is 144 rows.

Learn more about cross join here:

https://brainly.com/question/24263570

Answer:

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

0.8=0.80

Answer:

x can equal either 0 or 1

Step-by-step explanation:

If we look at the chart, we see that the values of 3^x = 2x+1

when x is 0 and when x is 1

so f(x) = g(x) when x = 0 or 1

Answer:

Step-by-step explanation:

simplify x+x+x+yxyxy

x + x + x + yxyxy =

3x + y³ * x²

Answer:

do you still need the answer?

Step-by-step explanation:

Answer:

4u

Step-by-step explanation:

Perimeter of square = u+u+u+u

                                  = 4u

Answer:

265

Step-by-step explanation: Used a Calculator

Answer:

[tex]67x^{3} + 49x^{2} -34[/tex]

hopes this helps

Answer:

1. x=4

2. x=10

Step-by-step explanation:

4x+9=25

Subtract 9 from both sides.

4x+9-9=25-9

>>4x=16

Then, divide 16 by 4.

x=16/4

>>x=4.

5x+12=62

Subtract 12 from both sides.

5x+12-12=62-12

>>5x=50

Divide 50 by 5.

x=50/5

x=10.

Hope this helps! Have a great day!

Answer:

48 1/3 inches

Step-by-step explanation:

Each size 8 shoe measures 9 2/3 inches. If we line 5 of them together, the length of the entire thing will be 5 times the size of each shoe, 9 2/3 in. To write 5 as a fraction, put it over a denominator of 1. Then rewrite 9 2/3 as an improper fraction. Now you can multiply across and simplify as needed.

Answer:

the person below is correct

Step-by-step explanation:

hope this helps have a good rest of ur night :)❤

Usando un sistema de ecuaciones, se encuentra que

Para el sistema, hay que:

$845 por 3 libros de Algebra, 5 libros de Geometría Analítica y 2 libros de Cálculo Diferencial, o sea:

[tex]3x + 5y + 3z = 845[/tex]

$580 por 2 libros de Geometría Analítica, 4 libros de Algebra y 1 libro de Cálculo Diferencial, o sea:

[tex]4x + 2y + z = 580[/tex]

$605 por un libro de Algebra, 3 libros de Geometría Analítica y 3 de Cálculo Diferencial, o sea:

[tex]x + 3y + 3z = 605[/tex]

Reemplazando la segunda equación en las otras duas:

[tex]z = 580 - 4x - 2y[/tex]

[tex]3x + 5y + 3z = 845[/tex]

[tex]3x + 5y + 3(580 - 4x - 2y) = 845[/tex]

[tex]-9x - y = -895[/tex]

[tex]9x + y = 895[/tex]

[tex]y = 895 - 9x[/tex]

[tex]x + 3y + 3z = 605[/tex]

[tex]x + 3y + 3(580 - 4x - 2y) = 605[/tex]

[tex]-11x - 3y = -1135[/tex]

[tex]11x + 3y = 1135[/tex]

[tex]y = 895 - 9x[/tex], por eso:

[tex]11x + 3(895 - 9x) = 1135[/tex]

[tex]-16x = -1550[/tex]

[tex]x = \frac{1150}{16}[/tex]

[tex]x = 96.875[/tex]

[tex]y = 895 - 9x = 895 - 9(96.875) = 23.125[/tex]

[tex]z = 580 - 4(96.875) - 2(23.125) = 146.25[/tex]

Un problema similar, que también envuelve un sistema de ecuaciones, es dado en https://brainly.com/question/24646137

Answer:

Switzerland tickets: $13.53

Japan tickets: $ 17.36

Step-by-step explanation:

Answer:

y = -9 / 7x + 109 / 7

Step-by-step explanation:

To find the equation of any line, you must find the slope and y-intercept (when writing in slope-intercept form). In this case, we can find both of these values by using the two coordinate pairs that are given:

Slope - the change in y over the change in x

Right now, since we have the slope, we know the equation will look like this: y = -9 / 7x + b, b is what we are trying to find, the y-intercept. To find b, we can substitute a given coordinate pair that we know will fit this line and then solve:

After finding both the slope and y-intercept, we can now combine them together to form the equation of the line:

y = -9 / 7x + 109 / 7

Hope this helps!!

Answer:

7.44

Explanation:

MAD = 1/n sigma | xi - x of line |