Students apply for admission to different academic programs within a college. Because of space, each program can only accept a limited number of students. The table below shows the acceptance data for a selection of majors in the college.


Acceptance Status

Accepted Rejected Total

College Major Chemistry 72 18 90

Business 65 35 100

Spanish 45 15 60

Total 182 68 250


What is the probability that a student was accepted, given that the student applied to the business program?


26.0%

35.0%

35.7%

65.0%

I think the answer is (A). 26%. Can someone check?

Answer:

Step-by-step explanation:

2

Answer:

r = 1

Step-by-step explanation:

Use the distributive property to multiply −6 by −3+5r.

18−30r=−5−7r

Add 7r to both sides.

18−30r+7r=−5

Add −30r and 7r to get −23r.

18−23r=−5

Subtract 18 from both sides.

−23r=−5−18

Subtract 18 from −5 to get −23.

−23r=−23

Divide both sides by −23.

r=−23/−23​

Divide −23 by −23 to get 1.

r=1

Answer: this is 4

Step-by-step explanation: A+b=2+2=4

The sum of the money that was  between the three friends is $8100.

Let x represent the amount of money given to the three friends to share.

Keisha, Tracey, and Kerry-Ann shared the money in the  ratio 7:9:11 respectively.

Since Kerry-Ann received $3300, hence:

(11/27) * x = 3300

11x/27 = 3300

x = $8100

The sum of the money that was  between the three friends is $8100.

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[tex](9+2i)(5-3i)\\\\=45-27i+10i-6i^2\\\\=45-17i+6~~~~~;[i^2 =-1]\\\\=51-17i[/tex]

[tex] \: \: \: \: \: \: [/tex]

[tex] = \: \: \: \: 51 - 17i[/tex]

Answer:

34.700+98.42+98.775+132.435+132.980+133.128

The time it would take to paint one figurine is 0.125 hour.

The time it would take to paint 8 figurine is 1.5 hours.

The first step is to determine the average rate. Average rate is the total ceramic figurines painted divided by the total time.

Average rate = 8 /1 = 8 figurines / hour

In order to determine how long it would take to paint 8 figurines, divide 12 by the  average rate.

1 / 8 = 0.125 hour

In order to determine how long it would take to paint 8 figurines, divide 12 by the  average rate.

12 / 8 = 1.5 hours

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68% are within 30 minutes to 40 minutes, 95% are within 25 minutes to 45 minutes and 99.7% are within 20 minutes to 50 minutes

The three sigma rule states that 68% are within one standard deviation of the mean, 95% are within two standard deviation from the mean and 99.7% are within three standard deviation from the mean.

Given that μ = 35, σ = 5

68% are within one standard deviation = μ ± σ = 35 ± 5 = (30, 40)

95% are within two standard deviation = μ ± 2σ = 35 ± 2*5 = (25, 45)

99.7% are within three standard deviation = μ ± 3σ = 35 ± 3*5 = (20, 50)

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Answer: (a) identity

Step-by-step explanation:

Anything multiplied by 1 will be considered an equation that is identity property.

Answer:

[tex]\huge\boxed{6x-7y=21}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

[tex]m[/tex] - slope

[tex]b[/tex] - y-intercept (0, b)

We have:

[tex]y=\dfrac{2}{3}x-3\to m=\dfrac{2}{3};\ b=-3[/tex]

From answers:

[tex]6x-7y=21\qquad|-6x\\\\-7y=-6x+21\qquad|:(-7)\\\\y=\dfrac{6}{7}x-3\to m=\dfrac{6}{7};\ \boxed{b=-3}[/tex]

[tex]-\dfrac{2}{3}x+3y=6\qquad|+\dfrac{2}{3}x\\\\3y=\dfrac{2}{3}x+6\qquad|:3\\\\y=\dfrac{2}{9}x+2\to m=\dfrac{2}{9};\ b=2[/tex]

[tex]\dfrac{2}{3}x+3y=-3\qquad|-\dfrac{2}{3}x\\\\3y=-\dfrac{2}{3}x-3\qquad|:3\\\\y=-\dfrac{2}{9}x-1\to m=-\dfrac{2}{9};\ b=-1[/tex]

[tex]x+4y=12\qquad|-x\\\\4y=-x+12\qquad|:4\\\\y=-\dfrac{1}{4}x+3\to m=-\dfrac{1}{4};\ b=3[/tex]

Answer:

6x-7y=21

Step-by-step explanation: :)

Step-by-step explanation:

several possibilities to solve this.

let's start with subtracting the second equation from the first

-x + 2y - z = 0

- -x - y +2z = 0

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

0 3y - 3z = 0

y - z = 0

y = z

now we use this in e.g. the first equation :

-x + 2z - z = 0

-x + z = 0

z = x (therefore, also x = y)

now we use this in the third equation :

2x - x = 8

x = 8 = y = z

Answer:

4.59318

Step-by-step explanation:

I think you would have to round to the nearest tenth or something so i dont know but this is the exact answer.

Ambas hormigas se encontraran a 15 segundos, y a 150 centímetros del punto A.

Dado que desde los extremos A y B de un tendedero de 240 cm de largo partes dos hormigas simultáneamente, y la hormiga que sale de A avanza a 10 cm/s, y la que se mueve desde el extremo B lleva una carga, por lo que se desplaza a 6 cm/s, para determinar a qué distancia del punto A se encontrarán y en cuánto tiempo se debe realizar el siguiente cálculo:

Por lo tanto, ambas hormigas se encontraran a 15 segundos, y a 150 centímetros del punto A.

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Answer:

Kendrick bought 48 bagels.

Step-by-step explanation:

For this question, you would simply have to multiply 4 by 12.

Dozen means 12.

4x12=48

48 bagels.

Answer: 92,700

Step-by-step explanation:

9,270,000 / 100 = 92,700

Answer:

(1) x+6

Step-by-step explanation:

Possible rational zeroes include ±1, ±2, ±3, ±4, ±6, ±12

Check each answer choice with synthetic division:

1 | 1 9 16 -12

 __1_10_26

    1 10 26 | 14

-2 | 1  9   16 -12

   __-2_-14_-4

      1  7   2  | -16

-6 | 1 9     16 -12

    __-6_-18_12

      1  3   -2  | 0

Therefore, x+6 is a factor of the polynomial

Answer:

(1) x+6

Step-by-step explanation:

Answer: 219

Step-by-step explanation:

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x=5/2

Decimal Form:

x=2.5

Mixed Number Form:

x=2 1/2

Step-by-step explanation:

Answer:

check online for more information

Answer:

10 cm

Simplified explanation/tl;dr: the small triangle is two thirds the size of the big triangle, so the missing side on the small triangle is two thirds the size of the same side on the big triangle

Long explanation/step by step:

It looks scary, but don't worry; for questions like this just find the ratio then multiply it by the similar side to find the missing side.

   This is what I mean: 8/12 simplified is 2/3 (4 is the common factor and 8/4 = 2 and 12/4 = 3). That's your fraction to multiply by.

   I chose 8 and 12 because look how the triangles are the same shape just different sizes, that means they're similar. the similar sides are just the same side on both triangles. (for this one, BC and GH are similar). to find how much smaller it is in fraction form, you just take two of the same sides and divide the small one by the big one. (big number becomes top, small becomes bottom)

   now just multiply 15 by 2/3 by using fraction multiplication. 15/1 x 2/3 = 30/3. Simplify that to 10/1 (3 is the common factor and 30/3 = 10 and 3/3 = 1). 10/1 = 10.

Answer:

n=8

n=-2

Step-by-step explanation:

or,n-3=5

or,n=5+3

or,n=8

Now consider,

or,n-3=-5

or,n=3-5

or,n=-2

Answer:

y=-2/5x+21/5

Step-by-step explanation:

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

m=(3-5)/(3-(-2))

m=-2/(3+2)

m=-2/5

y-y1=m(x-x1)

y-5=-2/5(x-(-2))

y-5=-2/5(x+2)

y=-2/5x-4/5+5

y=-2/5x-4/5+25/5

y=-2/5x+21/5

Answer:

by how i was taught its 2

Step-by-step explanation:

Answer:

Logarithmic functions are the inverses of exponential functions.The logarithmic function y=loga(x)  is called the logarithmic function with base a .

When a constant c is added to the input of the parent function f(x)=loga(x), the result is a horizontal shift c units in the opposite direction of the sign on c. Our function is shifted 3 units to the right.

It is shifted 2 units vertical.(2 units down).

Answer:

Logarithmic functions are the inverses of exponential functions.The logarithmic function y=loga(x)  is called the logarithmic function with base a .

When a constant c is added to the input of the parent function f(x)=loga(x), the result is a horizontal shift c units in the opposite direction of the sign on c. Our function is shifted 3 units to the right.

It is shifted 2 units vertical.(2 units down).

Step-by-step explanation:

Answer:

15 lessons for $ 80

Step-by-step explanation:

In case 1

Cost of 1 lesson = $10

In case 2

Cost of 1 lesson = 40/5 = $8

In case 3

Cost of 1 lesson = 80/10 = $8

In case 4

Cost of 1 lesson = 80/15 = $ 5.33

Hence,

The best deal is case 4 i.e 15 lessons for $ 80

Answer:

m = -2

Step-by-step explanation:

Use the slope intercept formula y = mx + b

You would switch the order to get y = -2x + 4 to get it in the correct format.

You can then see that -2 is the slope based off the slope intercept formula

(b = y intercept)

(m = slope)

Answer:

2.05

Step-by-step explanation:

12.71/6.2=2.05

The value of the expression 12.71 ÷ 6.2 using the division property will be 2.05.

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

The numbers are given below.

12.71 and 6.2

Then the division of the decimal numbers 12.71 and 6.2 will be given by putting a divide sign between them. Then we have

⇒ 12.71 ÷ 6.2

⇒ 12.71 / 6.2

⇒ 2.05

The worth of the articulation 12.71 ÷ 6.2 utilizing the division property will be 2.05.

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