ACT scores are normally distributed and from 2015 to 2017, the mean was 20.9 with a standard deviation of 5.6.

To get accepted into OSU, you need at least a 27. What is the z-score you need to get accepted? Enter your answer, rounded to the nearest hundredth.

Answer:

Step-by-step explanation:

35

Step-by-step explanation:

They told you that the mean is 7.

You know there are 5 numbers

Mean = (number 1 + number 2 + number 3 + number 4 + number 5) / 5 = 7

Sum = 7 x 5

= 35.

To fill one water cooler, we need 288 cups of water.

A cylinder is a 3D solid form made up of two bases that are parallel and identical and are connected by a curving surface. These bases resemble spherical disks. The axis of the cylinder form is a line drawn through the center or connecting the centers of two circular bases.

Given that a cylindrical water cooler can hold approximately 6104 in cubic of water.

And cylindrical cup with the height of 3 inches and diameter of 3 inches.

So let r be the radius of cup is 3/2 = 1.5 inch.

And we know that the volume of cylinder is given below by the formula;

volume of cylinder = π  r² h

So now the volume of cylindrical cup = (3.14) (1.5)² (3) = 21.195

That means one cup can only fill 21.195 cubic of water to the water cooler.

To find the how many cups can fill the water cooler,

we will divide the volume of water cooler by volume of cup.

That means, 6104 / 21.195 = 287.99

Approximating the value,

6104 / 21.195 = 288 cups of water.

Therefore the 288 cups of water can fill the water cooler.

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Answer:1 and 6

Step-by-step explanation:1 x 6 = 6

1 + (6) = 7

Are you asking because you are trying to figure out how to factor the following quadratic equation?

x2 + 7x + 6 = 0

If so, the solution to factor the quadratic equation above is:

(X + 1 ) (X + 6)

To summarize, since 1 and 6 multiply to 6 and add up 7, you know that the following is true:

x2 + 7x + 6 = (X + 1 ) (X + 6)

Answer:

x = 2 , y = 6

Step-by-step explanation:

Solve the following system:

{3 x + 2 y = y + 12 | (equation 1)

4 y - 7 x = 10 | (equation 2)

Express the system in standard form:

{3 x + y = 12 | (equation 1)

-(7 x) + 4 y = 10 | (equation 2)

Swap equation 1 with equation 2:

{-(7 x) + 4 y = 10 | (equation 1)

3 x + y = 12 | (equation 2)

Add 3/7 × (equation 1) to equation 2:

{-(7 x) + 4 y = 10 | (equation 1)

0 x+(19 y)/7 = 114/7 | (equation 2)

Multiply equation 2 by 7/19:

{-(7 x) + 4 y = 10 | (equation 1)

0 x+y = 6 | (equation 2)

Subtract 4 × (equation 2) from equation 1:

{-(7 x)+0 y = -14 | (equation 1)

0 x+y = 6 | (equation 2)

Divide equation 1 by -7:

{x+0 y = 2 | (equation 1)

0 x+y = 6 | (equation 2)

Collect results:

Answer:{x = 2 , y = 6

Answer:

x = 240

A = 30 m, B = 60 m, C= 90 m

Step-by-step explanation:

a) Nosotros debemos determinar un numero;

para cual [tex]\dfrac{1}{4}x = 60[/tex]

[tex]0.25 x = 60[/tex]

Divide ambos lados entre 0.25; tenemos :

[tex]\dfrac{0.25 x}{0.25}= \dfrac{60}{0.25}[/tex]

x = 240

b) A 180 m se corta en tres piezas A, B y C

Entonces;

Si la pieza B y la pieza C miden el doble y el triple de esa pieza A, respectivamente. Entonces; tenemos

x + 2x + 3x = 180

6x = 180

Divide ambos lados entre 6; tenemos:

[tex]\dfrac{6x}{6} = \dfrac{180}{6}[/tex]

x = 30 m

Si A = x = 30 m

B = 2x = 2×30 m = 60 m

C = 3x = 3×30 m = 90 m

Así; A = 30 m, B = 60 m, C= 90 m

Answer:

You are gonna need to gimme that  shaded area

Step-by-step explanation:

I cant do it without them

Answer:

144

Step-by-step explanation:

72 the 72 it equals it and plus they are adjacent

Hey there! I'd be delighted to help you out!

First, let's write down our expression!

[tex](x^2-x)+(8x-2x^2)[/tex]

When we look at this expression, we see that all of the numbers are terms, or numbers that are added. We have four terms in this equation, which are:

[tex]x^2, -x, 8x, -2x^2[/tex]

Now, to simplify, we want to combine like terms. Like terms are numbers that have the same variable (or no variable) and are raised to the same power. 1 and 5 are like terms because they both have no variable and they are both raised to the power of 1 (any number that is itself is raised to this power). 4x and 12x are like terms because they both have an x and a power of 1. 4y and 5x are not like terms because they have different variables. 4x³ and 2x² are not like terms because they are raised to different powers.

Now, we see that  with our numbers, x² and -2x² are like terms, and -x and 8x are also like terms. We can combine accordingly.

[tex]x^2-2x^2=-x^2\\\\-x+8x=7x[/tex]

Now we combine to get our simplified expression!

[tex]-x^2+7x[/tex]

I hope that this helps! Have a wonderful day!

Answer:

$4000

Step-by-step explanation:

the cars value is going sown by 2000 dollars each year so in seven years the car will be worth 4000 dollars

Note: I'm not completely positive on this.

Answer:

The value of car B after 1.5 years is approximately $

19,600

.

The value of car B is approximately $13,000 after  

4

years.

The value of car B will be more than $18,000 if it were sold within  

2

year(s).

The value of car B is $12,000 between years 4 and  

5

.

Step-by-step explanation:

Answer:

Sorry dude I am a grade 4 that’s too hard

Step-by-step explanation:

Answer:

60 millimeters

Step-by-step explanation:

1 centimeter is 10 milimeters. So, 6 centimeters is 60 millimeters.

*please mark brainliest*

7.solution

v=4/3πr^3

=4/3π×6^3

=4/3×216cm^3π

=288cm^3π

8.solution

SA=4πr^2

=4×6^2π

=4×36cm^2π

=144cm^2π

Answer:

225

Step-by-step explanation:

first the square

9*9 = 81

then the triangle

a is 8

triangles are l*w/2 so 8*4.5/2

8*4.5 = 36/2 = 18

There are 8 of these triangles

18*8 is 144

144+81 = 225

The surface area of the square pyramid is approximately `196` square cm.

The quantity of space enclosing a three-dimensional shape's exterior is its surface area.

We can use the Pythagorean theorem to find the slant height of the pyramid:

[tex]$$l = \sqrt{a^2 + \left(\frac{b}{2}\right)^2} \\= \sqrt{8^2 + \left(\frac{9}{2}\right)^2} \\= \sqrt{64+\frac{81}{4}} \\= \frac{\sqrt{433}}{2}$$[/tex]

So, the lateral area of the pyramid is the area of the four triangles with base `b` and height `l`, which is:

[tex]$$A_{lat} = 4\cdot\frac{1}{2}b\cdot l \\= 4\cdot\frac{1}{2}\cdot 9 \cdot \frac{\sqrt{433}}{2} \\= 27\sqrt{433}$$[/tex]

So, The area of the base of the pyramid is a² then

[tex]$$A = A_{lat} + a^2$$[/tex]

=  = 27√433 + 8²

= 27√{433} + 64

= 196.4 cm²

Therefore, the surface area of the square pyramid is approximately `196` square cm.

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Answer:

Interest earned is $90

balance is $290

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello : y=5x-13

x-intercept : when y=0  means : 5x-13=0     5x=13 so: x=13/5

y-intercept : when x=0  means : 5(0)-13=y     y= - 13  

Answer:

Y = (0, -13)

X = (2.6,0)

Step-by-step explanation:

Answer:

330 000 m²

Step-by-step explanation:

1. Area of farm

[tex]A = \text{1 km}^{2} \times\left (\dfrac{\text{1000 m}}{\text{1 km}} \right )^{2}= \text{1 000 000 m}^{2}[/tex]

2. Area for wheat

[tex]A = \text{28 hm}^{2} \times \left (\dfrac{\text{100 m}}{\text{1 hm}}\right)^{2} = \text{280 000 m}^{2}[/tex]

3.Area for olive trees

[tex]A = {\text{3900 dam}^{2} \times \left (\dfrac{\text{10 m}}{\text{1 dam}}\right )^{2}}= \text{390 000 m}^{2}[/tex]

4. Area for sunflowers

Total area                  =                          1 000 000 m²

- Area for wheat        = 280 000 m²

- Area for olive trees = 390 000                                  

                                                                 670 000      

Area for sunflowers =                              330 000 m²

Sunflowers occupy 330 000 m².

the answer for the question is b! :)

Answer:

1 : 3

Step-by-step explanation:

¼ of the biscuits are chocolate while the rest are plain.

Since a fraction is a part of a whole, 1, then it means that the fraction that are plain is:

1 - ¼ = ¾

Therefore, the ratio of chocolate biscuits to plain biscuits is:

¼ : ¾

To put this in simplest dorm, multiply both sides by 4, we have:

1 : 3

This is the ratio of chocolate biscuits to plain biscuits.

The ratio of the numbers of the chocolate biscuits to plain biscuits to its simplest form is [tex]\mathbf{1:3}[/tex]

In probability, we know that the sum of all the outcomes is usually equal to one.

Given that:

The number of biscuits that are chocolate on the plate is = 1/4

The rest of the biscuits that are plain will be = 1 - 1/4

[tex]= \mathbf{\dfrac{3}{4}}[/tex]

Now, the ratio of the numbers of the chocolate biscuits to plain biscuits to its simplest form is:

[tex]\mathbf{\dfrac{1}{4}:\dfrac{3}{4}}[/tex]

[tex]\mathbf{\dfrac{1}{4} \times \dfrac{4}{3}}[/tex]

= 1 : 3

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Answer:

y = 2x +13

Step-by-step explanation:

when 2 lines are perpendicular, the product of the two gradients is -1

i.e. m x m1 = -1

so from 10y + 5x = 3, the gradient m is -0.5

m1 = -1 / -0.5 = 2

using m1 = 2 and pt(-7,-1),

the eqn is y = (m1)x +c

-1 = 2(-7) + c

c= 13

thus y = 2x +13

Answer:

80

Step-by-step explanation:

you can take the ratio 2:3:4 as

2x + 3x + 4x = 180

9x = 180

x= 20

4(20) = 80

Answer:

D) 20

Step-by-step explanation:

Set up an equation: 2x+3x+4x=180

9x=180

180/9=20

Answer: D) 20degrees

Answer:

80

Step-by-step explanation:

BECAUSE ON THE BOX PLOT ON HOW IT IS LOOK AT THAT LAST LINE AND LOOK HOW FAR IT GOES THATS HOW MUCH IT WOULD BE

Answer:

x ≈ 1.893 ( to 3 dec. places )

Step-by-step explanation:

Using the rule of logarithms

log [tex]x^{n}[/tex] = n logx

Given

[tex]3^{x}[/tex] = 8 ( take the log of both sides )

log[tex]3^{x}[/tex] = log8, that is

xlog3 = log8 ( divide both sides by log3 )

x = [tex]\frac{log8}{log3}[/tex] ≈ 1.893

Answer:

y = 3x - 10

Step-by-step explanation:

Answer:

y = 3x -10

Step-by-step explanation:

Slope intercept form is y = mx+b  where m is the slope and b is the y intercept

-9x +3y =-30

Add 9x from each side

-9x+9x +3y =9x-30

3y = 9x-30

Divide each side by 3

3y/3 = 9x/3 -30/3

y = 3x -10

Answer:

29 questions total

Step-by-step explanation:

Since his score was 76 points and he received 4 points per correct answer, you can find the number of correct answers by dividing 76 by 4

76/4 = 19

The  you add to that the number of questions he got wrong:

19 + 10 = 29 total questions.

Answer:

-5

Step-by-step explanation:

6 - 5 = 1

so 6 + -5 is also equal to 1

Answer:

   q = -5

Step-by-step explanation:

Step  1  :  Simplify:  6/q

Step  2  :

Rewriting the whole as an Equivalent Fraction

Equation at the end of step  2  :

 (6 - q)    

 ——————— -  2  = 0  

    q      

Step  3  :

Rewriting the whole as an Equivalent Fraction

Step  4  :

Pulling out like terms

Answer:    q = -5

Hope this helps.

Answer:

what grade is this its and your answer is

Step-by-step explanation:

13/5 63/1 A = X

Answer:

Tyson had the better deal

Step-by-step explanation:

We simply want to know who paid less for the ticket.

Tyson bought 8 tickets for the members of his basketball team and it cost it $168 in total.

The cost of each ticket is therefore:

168 / 8 = $21

He paid $21 for each ticket.

The parent bought her son's ticket for $24.

Therefore, Tyson had the better deal because he paid $3 less than the woman.

[tex]\text{Plug in and solve:}\\\\3z\\\\3(9)\\\\\boxed{27}[/tex]

Answer:

27

Step-by-step explanation:

3z       z=9

3 times 9

27

Answer:

The 1st one  1 4/4 and the 3rd one 3/6

Step-by-step explanation:

10/5=2

2/1=2

Answer:

the number is 5

Step-by-step explanation:

in an equation it will be 4x-3=17

4x=17+3

4x=20

x=20/4

x=5

hope this helps plzz mark me brainliest

Step-by-step explanation:

if you do the equation backwards you get your answer. add 3 to 17 . you get 20. then divide 20 by 4. your number would be 5.

Answer:

1. 1.55π,

2. 16π,

3. 2.45π,

4. ( About ) 5.56π,

5. 13.7π

6. ( About ) 1.78π

Step-by-step explanation:

1. Let us keep the answer in terms of π, for the simplicity;

Area of Circle ⇒ π * r^2 = π * ( 3 )^2 = 9π,

Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,

62 / 360 = Area of sector / 9π,

62 * ( 9π ) = 360 * Area of sector,

558π = 360 * Area of sector,

Area of sector; 1.55π

2. Area of Circle ⇒ π * r^2 = π * ( 8 )^2 = 64π,

Area of sector ⇒ 1 / 4 * 64π = 16π,

Area of sector; 16π

3. Area of Circle ⇒ π * r^2 = π * ( 3 )^2 = 9π,

Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,

98 / 360 = Area of sector / 9π,

98 * ( 9π ) = 360 * Area of sector,

882π = 360 * Area of sector,

Area of sector; 2.45π

4. Area of Circle ⇒ π * r^2 = π * ( 4 )^2 = 16π,

Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,

125 / 360 = Area of sector / 16π,

125 * ( 16π ) = 360 * Area of sector,

2000π = 360 * Area of sector,

Area of sector; ( About ) 5.56π

5. Area of Circle ⇒ π * r^2 = π * ( 6 )^2 = 36π,

Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,

137 / 360 = Area of sector / 36π,

137 * ( 36π ) = 360 * Area of sector,

4932π = 360 * Area of sector,

Area of sector; 13.7π

6. Area of Circle ⇒ π * r^2 = π * ( 2 )^2 = 4π,

Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,

160 / 360 = Area of sector / 4π,

160 * ( 4π ) = 360 * Area of sector,

640π = 360 * Area of sector,

Area of sector; ( About ) 1.78π