Four college friends (one is named Cathy) were all accepted to a graduate school.

Answer:

5.625 inches

Step-by-step explanation:

Given that:

Total Rainfall in inches (P) = 8 inches

The runoff volume (in inches) Q = ???

The curve number CN = 80

Recall that: The runoff volume can be calculated by using the formula:

[tex]Q = \dfrac{(P-0.2S)^2}{(P+0.8S)}[/tex]    for P > 0.2S

Q = 0                     for P < 0.2S

[tex]S = \dfrac{1000}{CN}-10[/tex]

where:

curve number CN = 80

[tex]S = \dfrac{1000}{80}-10[/tex]

S = 2.5 inches

Since the rainfall (P) is greater than 0.25

Then:

[tex]Q = \dfrac{(P-0.2S)^2}{(P+0.8S)}[/tex]  

[tex]Q = \dfrac{(8-0.2(2.5))^2}{(8+0.8(2.5))}[/tex]

[tex]Q = \dfrac{(8-0.5)^2}{(8+2)}[/tex]

[tex]Q = \dfrac{(7.5)^2}{(10)}[/tex]

[tex]Q = \dfrac{(56.25)}{(10)}[/tex]

Q = 5.625 inches

Thus, the runoff volume = 5.625 inches

Answer:

about 172.82

Step-by-step explanation:

Answer:

83.23

Step-by-step explanation:

to work out surface area of a  right cone u

A=πr(r+h2+r2)

hope this helps

im not sure if its right tho

Step-by-step explanation:

When metamorphic rock melts it turns into magma.

Answer:

the answer is 2x+y=4

Step-by-step explanation:

2x+y=4

Answer:

y = -2x + 4

Step-by-step explanation:

Answer:

I believe c

Step-by-step explanation:

I believe this because if you invest in stock for ten years as on this paragraph the answer is C

Option D is correct. we worth more than $2000 after 10 year period.

percentage, a relative value indicating hundredth parts of any quantity.

Given that  You invest $1,000 in a stock market index fund that earns 8% compounded annually over a 10-year period.

We have to find the  investment be worth after this 10-year period.

A=P(1+r)ⁿ

P is the initial amount

r is rate of interest

n is the time

A=1000(1+0.08)¹⁰

A=1000(1.08)¹⁰

A=1000×2.1589

A=2158.9

Hence, option D is correct. we worth more than $2000 after 10 year period.

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Answer:

The answer is

[tex] \huge y + 1 = 15(x - 3) \\ [/tex]

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question we have the final answer as

[tex]y + 1 = 15(x - 3)[/tex]

Hope this helps you

Answer:

= -1/14

Step-by-step explanation:

We can use the slope formula

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

    = ( -3 - -4)/( -6 -8)

   = ( -3+4)/( -6-8)

   1/-14

= -1/14

Answer:

-11

Step-by-step explanation:

This is the answer because:

1) First, multiply the negative sign with the positive sign.

Negative x Positive = Negative

Equation: -7 - 4

2) Now, multiply the negative sign with the negative sign.

Negative x Negative =  Positive  

Equation: 7 + 4 = 11

3) Finally, add the greater number's sign (-7) in front of the number.

-11

Hope this helps! :D

Answer:

Given that;

There are three high schools, each having four sections of every 24 students

the 2 types of instructions are Standard curriculum  & computer based curriculum

a)

this study is experimental

this is because the study did not just observe the student's performance but randomly assign the performance to different techniques that have some certain control over the technique of teaching and then observe their performance afterwards

b)

-important  factors are; high schools, instruction type and scores

- Highschool has 2 levels: level one there are three high schools,  level 2 each having four sections of every 24 students

-instruction type: has one level which is  divided into two namely; standard base and computer based

Scores: doesn't have levels

c)

there are 3 schools and 4 sections  so the factor high school has between subjects components

factor instruction type also has between subjects because there are two different types available

there are 24 students in each section which are within subjects

d)

the score on the test  is the dependent measures

e)

“STUDENT” in each section is he basic experiment unit of study

Answer:

6 months is: 15675

2 months is: 5172.75

1 month is: 2586.37

15 months is: 38795.62

the missing number is: 12 months

Step-by-step explanation:

Answer:

The probability that a person with restless leg syndrome has fibromyalgia is 0.183.

Step-by-step explanation:

Denote the events as follows:

F = a person with fibromyalgia

R = a person having restless leg syndrome

The information provided is as follows:

P (R | F) = 0.33

P (R | F') = 0.03

P (F) = 0.02

Consider the tree diagram attached below.

Compute the probability that a person with restless leg syndrome has fibromyalgia as follows:

[tex]P(F|R)=\frac{P(R|F)P(F)}{P(R|F)P(F)+P(R|F')P(F')}[/tex]

            [tex]=\frac{(0.33\times 0.02)}{(0.33\times 0.02)+(0.03\times 0.98)}\\\\=\frac{0.0066}{0.0066+0.0294}\\\\=0.183333\\\\\approx 0.183[/tex]

Thus, the probability that a person with restless leg syndrome has fibromyalgia is 0.183.

Answer:

1)14oz

2)28oz

Step-by-step explanation:

1) To find the amount of water is left in the bottle you want to substract 1/3 so the first thing you want to do is find what 1/3 of 42 is. So do this: (This is also 42/3)

42*1/3=14

So we now know that 14 is 1/3 of 45 which is the first answer. To find the second answer you want to substract 14 from 42 which is 28.

So that means she has 28 oz of water left when she gets there.

Answer:

p = -4.33636363636

Step-by-step explanation:

subtract 2.2 from -4.001 which equals -4.001-2.2=-6.201 and divide -6.201 by 1.43p and that equals -4.33636363636 so p = -4.33636363636

Answer:

12.2 12.3 12.4 12.5

Step-by-step explanation:

Answer:

Universal set is 80

Number of people that speak Nepali is 50

Number of people that speak English is 45

Number of people that do not speak both is 7

a. Number of people that speak both languages is 22

b. As above

Step-by-step explanation:

a. Let make number of people that speak both languages x

To get x

(50-x) + (45-x) + x + 7 = 80

(50-x) + (45-x) + x = 80 - 7

(50-x) + (45-x) + x = 73

Open bracket

50-x+45-x+x= 73

50+45-2x+x = 73

95 - x = 73

-x = 73 - 95

-x = -22

x = 22

Therefore, number of people that speak both languages is 22

b. To get venn diagram

Number of people that speak Nepali is 50 - 22 = 28

Number of people that speak English is 45 - 22 = 23

Therefore, total = 28+23+22+7 = 80

Answer:

Yes blue liquid is toxic

Step-by-step explanation:

H0: p1 = p2

H1: p1>p2

For blue

We calculate proportion as

37/40 = 0.925

For white

9/40 = 0.2250

To get p

(X1 + x2)/(n1 + n2)

= 0.5750

After calculating the z as statistic (please check attachment) I got 6.33

P value = 0.0000

We reject null hypothesis and say in conclusion that enough evidence exists for us to say blu liquid is toxic!

Thank you!

Answer:

The answer is...

f(x)=(x-3)+(x+3)

I think this is the answer. I haven't done this kind of math in a while so...

The chosen equation, (x +3)(x + 3) = 0, will serve as a representation of the provided graph.

ax²+bx+c=0, with a not, equals 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

given a Graph of a quadratic equation.

Contrarily, parabolas are used to graph quadratic equations. In other words, the data will be displayed as either an "open" or "upside-down" U-shaped curve. The graph is always quadratic if you are drawing a graph from a function and the equation involves x².

in this graph, we can observe that graph has only one root at x = -3

therefore the equation of the Given parabola is

(x + 3)² = 0

or

(x +3)(x + 3) = 0

therefore, the equation choice could represent the graph given will be (x +3)(x + 3) = 0.

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Answer:

7.98x10^3

Step-by-step explanation:

10^3=1000

Answer:7.980 × 10^3

Step-by-step explanation:

Step-by-step explanation:

In 1/10 of 1hr = 1/2 mile

10*(1/10) of 1hr = 10(1/2) mile

(10/10) of 1hr = (10/2) mile

1 of 1hr = 5mile

It says, he can run 5 miles in 1 hour

Answer:

True

Step-by-step explanation:

There must be a constant of proportionality.

Hope this helps!

Answer:

11.400 dollars... is the answer

Answer:

$5400

Step-by-step explanation:

9 x 600 = 5400

Answer:

6 primos de dos cifras(casos favorables) / 90 numeros de dos cifras(casos posibles) = 1/15

Step-by-step explanation:

Usando el concepto de probabilidad, se encuentra que hay una probabilidad de [tex]\frac{1}{15}[/tex], opcion A, de que al escoger un número positivo de dos cifras, este sea  primo y termine en 3.

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

Entonces:

[tex]p = \frac{6}{90} = \frac{1}{15}[/tex]

Probabilidad de [tex]\frac{1}{15}[/tex], opcion A, de que al escoger un número positivo de dos cifras, este sea  primo y termine en 3.

Un problema similar es dado en https://brainly.com/question/24583317

Answer:

The probability is   [tex]P(X  >300 ) = 0.97219 [/tex]

Step-by-step explanation:

From the question we are told that

 The capacity of  an Airliner  is  k =  300 passengers

 The sample size n =  320 passengers

  The probability the a randomly selected passenger shows up on to the airport

    [tex]p = 0.96[/tex]

Generally the mean is mathematically represented as

    [tex]\mu  =  n*  p[/tex]

  => [tex]\mu  =  320 *  0.96[/tex]

    => [tex]\mu  = 307.2[/tex]

Generally the standard deviation is  

    [tex]\sigma =  \sqrt{n *  p *  (1 -p ) }[/tex]

=>  [tex]\sigma =  \sqrt{320  *  0.96 *  (1 -0.96 ) }[/tex]

=> [tex]\sigma =3.50 [/tex]

Applying Normal approximation of binomial distribution

Generally the probability that there will not be enough seats to accommodate all passengers is mathematically represented as

  [tex]P(X  > k ) =  P( \frac{ X -\mu }{\sigma }  >  \frac{k - \mu}{\sigma } )[/tex]

Here [tex]\frac{ X -\mu }{\sigma }  =Z (The \ standardized \  value \  of  \ X )[/tex]

=>[tex]P(X  >300 ) =  P(Z >  \frac{300 - 307.2}{3.50} )[/tex]

Now applying  continuity correction we have

    [tex]P(X  >300 ) =  P(Z >  \frac{[300+0.5] - 307.2}{3.50} )[/tex]    

=>    [tex]P(X  >300 ) =  P(Z >  \frac{[300.5] - 307.2}{3.50} )[/tex]

=>    [tex]P(X  >300 ) =  P(Z >  -1.914 )[/tex]

From the z-table  

    [tex]P(Z >  -1.914 ) =  0.97219[/tex]

So

    [tex]P(X  >300 ) = 0.97219 [/tex]

Answer:

Hello! I'm sorry I couldn't get to your question sooner. I just completed this quiz!

The equation of the circle that represents the dartboard is (x-10)^2 + (y-17/3)^2 = 9/16, where the origin is the lower-left corner of the room and the unit of the radius is feet.  

The position of Sasha's dart is represented by the coordinates (10.25,5). Sash's dart does land on the dartboard.

This quiz was completed on k12, lesson 3.03.

The question is an illustration of equation of circles.

From the question, we understand that:

[tex]\mathbf{h = 5\ ft\ 8\ in }[/tex] ---- the height at which the dartboard was hung

[tex]\mathbf{d = 18\i n }[/tex] ---- the diameter of the dartboard

[tex]\mathbf{B = 10ft}[/tex]  --- the bull's eye

[tex]\mathbf{D = (10.25ft, 5ft)}[/tex] --- Sasha's dart

Equation of the circle

First, we convert all units to feet

This is done by dividing inches units by 12

[tex]\mathbf{h = 5\ ft\ 8\ in }[/tex]

[tex]\mathbf{h = 5\ ft\ + \frac{8}{12}\ ft }[/tex]

[tex]\mathbf{h = 5\ ft\ + \frac{2}{3}\ ft }[/tex]

Take LCM

[tex]\mathbf{h = \frac{15 + 2}{3}\ ft }[/tex]

[tex]\mathbf{h = \frac{17}{3}\ ft }[/tex]

[tex]\mathbf{d = 18\i n }[/tex]

[tex]\mathbf{d = \frac{18}{12}ft}[/tex]

[tex]\mathbf{d = \frac{3}{2}ft}[/tex]

Divide by 2 to calculate radius

[tex]\mathbf{r = \frac{3}{2*2}ft}[/tex]

[tex]\mathbf{r = \frac{3}{4}ft}[/tex]

The equation of the circle is represented as:

[tex]\mathbf{(x - a)^2 + (y - b)^2 = r^2}[/tex]

In this case:

[tex]\mathbf{a = B = 10ft}[/tex] -- the distance between the bull's eye and the wall

[tex]\mathbf{b = h = \frac{17}{3}\ ft }[/tex] ---- the height at which the dartboard was hung

So, we have:

[tex]\mathbf{(x - a)^2 + (y - b)^2 = r^2}[/tex]

[tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = (\frac 34)^2}[/tex]

Evaluate the exponents

[tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = \frac 9{16}}[/tex]

Hence, the equation of the circle is: [tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = \frac 9{16}}[/tex]

Does Sasha’s dart land on the dartboard?

Yes her dart lands on the dartboard because

[tex]\mathbf{D = (10.25ft, 5ft)}[/tex] is within the circumference of the dartboard

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Answer:

8.64

Step-by-step explanation:

8.64

[tex]12\;percent\;of\;72=8.64[/tex]

Answer:

okay now i get it its not easy at first but look at it for a bit and yoll get it

Answer:

the last 1

Step-by-step explanation:

Answer:

t=8

Step-by-step explanation:

400 divided by 50 hopefully that helps with your question

x^2 = 4 py

where p<0

Step-by-step explanation:

I think this is it but I am not sure