On a standardized exam, the scores are normally distributed with a mean of 145 and a standard deviation of 25. Find the z-score of a person who scored 85 on the exam.

Answer:

(6,-3)

or

x=6 y= -3

Step-by-step explanation:

Taking a quick look at this question we notice that we simply cannot add/subtract the two equations and eliminate a variable

What we can do is mulitply an equation to make the above true

let's try to get the first equation to have a 3y, and we can do this by multiplying it by 1.5 (this is legal because we do it to both sides)

So our new first equation is

1.5(3x+2y)=12*1.5

which simplifies to

4.5x+3y=18

We then add the two equatiosn

(4.5x+3y)+(2x-3y)=18+21

6.5x=39

x=6

Now that we know x we can plug that in and solve for y

3(6)+2y=12

18+2y=12

-6=2y

y= -3

Answer:

m= 5/7

Step-by-step explanation:

y2-y1 / x2-x1

7-2/8-1

5/7

Answer:

Answer = 13.5

Step-by-step explanation:

A square has 4 sides

54 / 4 = 13.5

The side of the square will be 7.34 inches.

A square is a quadrilateral having all the sides equal to each other and the sum of the angles will be 360 degrees. The area is defined as the space occupied by the shape in a two-dimensional plane.

Given that a square has an area of 54 sq in . the length of each side is the same.

The side of the square will be calculated as below:-

Area of square = Side²

54 = Side²

Side = √54

Side = 7.34 inches.

Therefore, the side of the square will be 7.34 inches.

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Answer: n < 60

Step-by-step explanation:

n - 48 < 12

n - 48 + 48 < 12 + 48

n < 60

Answer:

The radius will be half of your diameter so,

since 26 is your diameter half of that is = 13 is your new radius.

Now finding the area:

13^2 = 169

169 x 3.14 = 530.66 cm2 is your area.

Formula of an area of a circle:

πr^2

pi(3.14 or 22/7 depending on whatever they tell you to use for pi) x radius being squared

By successive approximations we find that [tex]x \approx 3.3[/tex] for [tex]f(x) = g(x)[/tex].

How to find a solution of two functions by direct inspection

According to the table, the value of [tex]x[/tex] must be between 3 and 3.5. [tex]x[/tex] is the solution of [tex]f(x) = g(x)[/tex] if and only if [tex]f(x) - g(x) = 0[/tex]. Let suppose that [tex]x = 3.3[/tex], then:

[tex]3.3^{2}+13 = 3\cdot (3.3) + 14[/tex]

[tex]-0.01[/tex]

As we need only two decimals, approximation seems to be reasonable.

By successive approximations we find that [tex]x \approx 3.3[/tex] for [tex]f(x) = g(x)[/tex]. [tex]\blacksquare[/tex]

Statement is incomplete and incorrectly formatted, correct form is presented below:

Cora is using successive approximations to estimate a positive solution to [tex]f(x) = g(x)[/tex], where [tex]f(x) = x^{2}+13[/tex] and [tex]g(x) = 3\cdot x + 14[/tex]. The table shows her results for different input values of [tex]x[/tex]:

x         f(x)           g(x)

 0         13             14

 1          14             17

 2         17             20

 3         22            23

 4         29            26

3.5     25.25       24.5

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Answer:

43.98

Step-by-step explanation:

did some quick maths

c=2

[tex]c = 2 \times \pi \times r[/tex]

Answer:

y = 200x.....the airplane travels 8000 miles in 40 hrs

Step-by-step explanation:

Answer:

Airplane W by 100 miles

Step-by-step explanation:

Airplane Z

y = 450x

Distance travelled after 2 hours

y = 450(2)

y = 900 miles

------------------------

Airplane W

Distance travelled after 2 hours

Reading from the graph

1000 miles

----------------------

after 2 hours which airplane had traveled the farther

Airplane W

and by how much

1000 - 900 = 100

Answer:

Approximately 3 times, Jake will be able to hit the ball in a game of 10 balls

Step-by-step explanation:

Batting average determine the % share of time the bat hit the ball.

Jake's probability of hitting a ball = 0.34

Jake plays 10 games.

Probability of hitting a ball in a game is

10 * 0.34 = 3.4

Approximately 3 times, Jake will be able to hit the ball in a game of 10 balls

Answer:

37

Step-by-step explanation:

triangles' inside angles always equal 180. so 100+43=143. 180-143=37

Answer:

6(2 + 2/3x) = 12 + 4x

Step-by-step explanation:

...............

Answer:

6(2 + [tex]\frac{2}{3}[/tex] x ) = 12 + 4x

Step-by-step explanation:

Note that

6 × [tex]\frac{2}{3}[/tex] = 4

Then

6(2 + [tex]\frac{2}{3}[/tex] x ) ← is the required expression

Answer:

third option mechanical weathering

Step-by-step explanation:

in mechanical weathering it breaks the rock into smaller pieces . these smaller pieces are just like the bigger rock , just smaller .

Answer: Mechanical weathering

Step-by-step explanation:

Answer:

Step-by-step explanation:

8√42 ÷ 2√7 is 8√42/2√7 in a fraction form

you want to take the square root out of the denominator, and so you would multiply the denominator by the numerator and itself.

8√42/2√7 * 2√7/2√7 = 4√6

Answer:

10

Step-by-step explanation:

70-30=40

50-40=10

fsgsgsgdg

Answer:

option 4

2

Step-by-step explanation:

1 Litre = 1000 mililitre

so,

2 litres = 2000 mililitres

Answer:

Its B

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Ratio is 2 baseballs to 3 golf balls you have 30 baseballs.

2×15= 30

3x15= 45

Answer:

The answer is: y= -5x-2

Step-by-step explanation:

I hope it help.

Jose has to choose from 36 different ways.

The various ways in which objects from a set may be selected, generally without replacement to form subsets is known as combination.

For the given situation,

Pairs of pants = [tex]2[/tex]

T-shirts = [tex]6[/tex]

Pairs of shoes = [tex]3[/tex]

The formula to find the number of ways using combination = [tex]nC_{r}[/tex]

Number of ways of picking the outfit = [tex](2C_{1}) (6C_{1}) (3C_{1} )[/tex]

⇒ [tex](2)(6)(3)[/tex]

⇒ [tex]36[/tex]

Hence we can conclude that Jose has to choose from 36 different ways.

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Answer:

2.6

Step-by-step explanation:

Given :

x 1 2 3 4

P(x) 0.3 0.2 ? 0.4

Σp(x) = 1

Hence, 0.3 + 0.2 +? + 0.4 = 1

0.9 +? = 1

? = 1 - 0.9

? = 0.1

For the mean :

E(X) = ΣX*P(X)

(1 * 0.3) + (2 * 0.2) + (3 *0.1) + (4* 0.4)

0.3 + 0.4 + 0.3 + 1.6 = 2.6

Hence, the mean = 2.6

Answer: Hey there do you have numbers of the sides or something in that form if not you will need to use a ruler measure height and width You only need to measure one Height and one width and then multiply those two for your answer. sorry i couldn't help more with your question.

Step-by-step explanation:

Answer:

2( the thingy and inside) 14x

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Explanation:

We're told that "The black trapezoid is a dilation of the green trapezoid". This means the black trapezoid is the image, while the green one is the preimage. In other words, the green is the "before" and the black is the "after". The mapping is [tex]\text{green} \to \text{black}[/tex] because of the ordering [tex]\text{preimage} \to \text{image}[/tex]

Since the green figure (preimage) is larger than the black figure (image), the scale factor must be some value k such that 0 < k < 1. That narrows the answer choices between A and B.

Focus on the green trapezoid. The bottom left corner is at (-10,0). The bottom right corner is at (5,0). The distance between these two points is 15 units.

Using the same idea, the distance along the bottom edge of the black trapezoid is 3 units. We can count out the spaces along the bottom, or we can note the two bottom corners are at (-2,0) and (1,0).

------------------------------

So far we found:

These two edges correspond to one another. We divide the values to get the scale factor. We divide the image length over its corresponding preimage length.

scale factor = (image length)/(preimage length)

scale factor = 3/15

scale factor = 1/5