The probability that a first year student entering a certain private college needs neither a developmental math course nor a developmental English is 70% while 22% require a developmental math course and 25% require a developmental English course. Find the probability that a first year student requires both a development math course and a developmental English course.

Answers

Answer 1

Answer:

Probability of  both English and Maths =  17%

Step-by-step explanation:

Probability of English or Maths

100 -70 = 30%

Probability of English or Maths =

Probability of English + Probability of Maths + Probability of  both English and Maths

30 % = 22% + 25 % + Probability of  both English and Maths

Probability of  both English and Maths = 47% - 30 %

Probability of  both English and Maths =  17%


Related Questions

Which playwright has only seven surviving plays, and many people consider his Oedipus Rex the greatest Greek tragedy?


Aeschylus


Sophocles


Euripides


Aristophanes

Answers

Answer:

its b Sophocles

Step-by-step explanation:

got it right

Jacob makes a scale drawing for a crate with a scale factor of 1:20. The dimensions of his scale drawing are 3 inches long by 2 inches wide. The builder creates a scale drawing of the crate with a scale factor of 1:10. What are the dimensions of the builder's scale drawing? O A. The length is 6 inches and the width is 4 inches. B. The length is 4 inches and the width is 6 inches. O C. The length is 1.5 inches and the width is 1 inch. D. The length is 1 inch and the width is 1.5 inches. SUBMIT​

Answers

Answer: 6 inches long and 4 inches wide

Step-by-step explanation: The dimensions of the actual crate are 20 times those on Jacob's drawing. The dimensions on the builder's drawing are 1/10 of those, so (1/10)(20) = 2 times the dimensions on Jacob's drawing.

hope this helps

The figure below shows a line graph and two shaded triangles that are similar:


Which statement about the slope of the line is true?

The slope from point O to point A is fraction 1 over 4 times the slope of the line from point A to point B.
The slope from point O to point A is four times the slope of the line from point A to point B.
It is fraction negative 1 over 4 throughout the line.
It is −4 throughout the line.

Answers

Both triangles are along the slope of the line, so the slope for both triangles are the same.

Using two points on the slope you find that the slope is -1/4

The answer is:

It is fraction negative 1 over 4 throughout the line.

Alonzo makes 8 dollars for each hour of work. Write an equation to represent his total pay p after working h hours.

Answers

Answer:

25

Step-by-step explanation:

Find the length of AB when A(-4,1) and B(3,-1). Round to the nearest tenth (one decimal place) if necessary.

Answers

Answer:

7.3 units is the answer rounded

When A(-4,1) and B(3,-1), the length of AB is approximately 7.3 units.

What is distance formula?

The distance formula is a mathematical formula that is used to compute the distance between two points in a coordinate plane.

This formula is derived from the Pythagorean theorem, which states that the square of the length of the hypotenuse in a right triangle equals the sum of the squares of the lengths of the other two sides.

We can use the distance formula to find the length of AB:

[tex]d = \sqrt{ ((x2 - x1)^2 + (y2 - y1)^2)}[/tex]

Where (x1, y1) = (-4, 1) and (x2, y2) = (3, -1)

d = sqrt([tex](3 - (-4))^2 + (-1 - 1)^2[/tex])

= sqrt([tex]7^2 + (-2)^2[/tex])

= sqrt(49 + 4)

= sqrt(53)

≈ 7.3 (rounded to one decimal place)

Therefore, the length of AB is approximately 7.3 units.

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find the interest rate you are borrowing $2,500 for 2 years and you ear $450 in interest

Answers

Answer:

2500×100/2×450

25/2×450

25/900=

36

what is the slope between the points (14,1) and (6,-15)

Answers

the slope of these is 2 !

How much interest would you have if you deposited $200 that if you deposited $150? ​

Answers

Answer:

Difference = 206 - 154.5 = $51.5

In short, Your Answer would be: $51.5

What are the next three terms in the sequence?
-6,5,16,27...
38, 49,60
37,47,57
36, 45, 54
36, 46,57

Answers

Answer:

uff si está bien fácil por favor tu te sabes la respuesta y yo tambien

A line passes through the point (8,-5) and has a slope of 3/2

Answers

Answer:

y=3/2x-17

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=3/2(x-8)

y+5=3/2(x-8)

y=3/2x-24/2-5

y=3/2x-12-5

y=3/2x-17

what is the meaning of XII in roman numeral​

Answers

Answer:

its 12 in mathematics....

Find the equation of a line parallel to y = x – 3 that contains the point (-2, 1).
Yeah

Answers

Answer:

The equation of a line parallel to y = x - 3 that contains the point (-2, 1) is:

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

The graph of both the parallel equation is shown below to make you further understand the concept.

Step-by-step explanation:

The slope-intercept form of the line equation

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

where

[tex]m[/tex] is the slope[tex]b[/tex] is the y-intercept

Given the equation

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

comparing with the slope-intercept form of the line equation

Slope m = 1

Important Tip:

As the parallel lines never intersect, therefore, they have the same slopes.

Thus, the slope of the parallel line is also 1.

As the parallel line contains the point (-2, 1).

so substitute m = 1 and (-2, 1) in the slope-intercept form of the line equation to determine the y-intercept of the parallel line

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

[tex]1 = 1(-2) + b[/tex]        ∵ (x, y) = (-2, 1) and m = 1

[tex]1 = -2 + b[/tex]

switch sides

[tex]-2+b = 1[/tex]

add 2 to both sides

[tex]-2 + b + 2 = 1 + 2[/tex]

simplify

[tex]b = 3[/tex]

Thus, the y-intercept b of the parallel line is:  b = 3

now substitute b = 3 and m = 1 in the slope-intercept form of the line equation to determine the  equation of the parallel line

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

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

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

Therefore, the equation of a line parallel to y = x - 3 that contains the point (-2, 1) is:

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

The graph of both the parallel equation is shown below to make you further understand the concept.

From the graph:

The green line represents the equation y = x - 3 The black  line represents the parallel equation y = x + 3

It is clear that both lines are parallel.

You're selling tickets to a school play priced at $5 for students, $10 for parents, and $20 for general admission. The total sales are $2,500, you sell twice as many parent tickets as student tickets, and you selll 10 more students tickets than general admission. How many of each ticket did you sell?

A:60 student, 120 parent, and 50 general admission
B:40 student, 80 parent, and 30 general admission
C:80 student, 160 parent, and 70 general admission
D:90 student, 45 parent, and 80 general admission

Answers

Answer:

A

Step-by-step explanation:

if the height and radius of a cylinder tank are equal and it's curved surface area is 308cm^2,find it's height​

Answers

Let height be x, then radius is also x.

We know that,

C.S.A. = 2πrh

=> 308cm² = 2πxx

=> 308cm² = 2πx²

=> 308cm² = 2(22/7)x²

=> 308cm² = (44/7)x²

=> 308cm² × (7/44) = x²

=> 2156/44 cm² = x²

=> 49cm² = x²

=> √(49cm²) = x

=> 7cm = x

So, height and radius are 7cm each.

Describe the slope and y-intercept of the line y = -x + 2.

Answers

Answer:

slope = -1

y intercept= 2

Step-by-step explanation:

compare the equation with the standard equation Y= MX + C

where M is the slope

to find Y intercept substitute the value of x as 0

Find k if the line y = kx-5 passes through the point (-6,14).

Answers

Answer:

19/-6

Step-by-step explanation:

y=kx-5 (-6, 14)

14=k(-6)-5

14=-6k-5

-6k=14+5

-6k=19

k=19/-6

What is the value of the expression below?
13 - (-9)

Answers

13 - (-9)
13 - 9 = 4

Find the simplified form of the expression. Give your answer in scientific notation.
(4 * 10^10)(9x10^-5)

Answers

Step-by-step explanation:

Given

(4*10^10)(9*10^-5)

= 36 * 10^10 - 5

= 36 * 10^5

= 3.6 * 10^6

Hope it will help :)

solve 3/5-(1/6+5/18)​

Answers

Answer:

7/45

Step-by-step explanation:

IF U NEED THE STEPS LEMME KNOW

4) The overall project budget is $20,000. At Week 8, the actual cost is $9,000 and the CPI is

1.1. What is the earned value of the project at Week 8?

Answers

Answer:

the earned value of the project is $9,900

Step-by-step explanation:

The computation of the earned value of the project is shown below:

As we know that

CPI = Earned value ÷ Actual cost

1.1 =  Earned value ÷ $9,000

So, the earned value is

= 1.1 × $9,000

= $9,900

hence, the earned value of the project is $9,900

help quick

142 is what percent of 596?

(Write your answer as a percent rounded to the nearest tenth of a percent. Include the % on your answer.)

Answers

you answer should be 28.83%

Answer:

23.8%

Step-by-step explanation:

Step 1: Divide 142 by 596;

The first step is to divide the numerator of this problem by the denominator. The numerator, in this case, is 142 and the denominator is 596. Here is the equation for this operation:

142/596 = 142 ÷ 596 = 0.23825503355705

Step 2: Multiply 0.23825503355705 by 100

The second step is to multiply the result of step 1 by 100. This will turn our original answer into a percentage. This is the final answer to the problem. Here is the equation for:

0.23825503355705 × 100 = 23.83

Step 3: Round 23.83 to the nearest tenth

To round 23.83 to the nearest tenth consider the hundredths’ value of 23.83, which is 3 and less than 5. Therefore, the tenths value of 23.83 remains 8.

23.83 rounded to the nearest tenth = 23.8%

Mika rides his bike 3 miles each way to his friend's house. He leaves his house at 4 p.m. How many miles does he ride his bike there and back? What information is extra?​

Answers

Answer:

How many miles does he ride his bike there and back?

6 miles.

What information is extra?​

The hour at which he leaves his house.

Step-by-step explanation:

We know that he rides 3 miles each way.

Then he rides 3 miles from his house to his friend's house, and another 3 miles from his friend's house to his house.

So he rides 3 miles both times, if we add that, we get:

3 miles + 3 miles = 6 miles

So:

How many miles does he ride his bike there and back?

6 miles.

And to answer the other question, we need to look at the given information that we did not use in this calculation. In this case, is the hour at which he leaves his house.

Notice that we never did use the fact that he leaves his house at 4 p.m.

Then:

What information is extra?​

The hour at which he leaves his house.

Guys I need help !! X=2 evaluate 5x-2

Answers

So x=2
5(2)-2. (2)because x=2
5(2)-2=8

Answer:

Step-by-step explanation:

Evaluate means to see what value the equation has given x is 2

substitute x for 2 (write instead of x, write 2)

5x-2 will be 5*2-2 , calculate 5*2-2= 10-2 = 8

Use the rule x + 3 to find the missing number on the table.
X Y
0 3
3 6
11
7 10
9 12

Answers

The missing number on the table using the rule y = x + 3 is 14

How to use equation to find missing number?

X Y

0 3

3 6

11 y

7 10

9 12

The rule:

y = x + 3

y = 0 + 3

y = 3

y = 3 + 3

y = 6

y = 11 + 3

y = 14

y = 7 + 3

y = 10

y = 9 + 3

y = 12

Therefore, the missing number on the table is 14

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Is 5.3 a possible solution to x > 5 ?

Answers

Yes 5.3 is greater than 5

5.3 > 5

Answer:

yes, it is.

Step-by-step explanation:

its a solution because in the graph below, 5.3 is in the shaded region. hope this helped!!

if 3/4 of a certain number is equal to 4 1/2, find the number

Answers

Answer:

6

Step-by-step explanation:

3/4x = 9/2

4/3 * 9/2 = 36/6

6

The number in the mathematical statement is 6

How to determine the number?

Let the number be x.

So, the equation can be represented as:

3/4 * x = 4 1/2

Express the fraction as an improper fraction

3/4 * x = 9/2

Multiply through by 4/3

x = 6

Hence, the number is 6

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Edwin drove at a constant speed and traveled 182.4 miles in 3 hours. What is his rate in miles per hour?

Answers

182.4 miles/ 3 hours=

60.8 miles per hour is your answer.


Which graph represents the inequality x > 23 ?

Answers

Step-by-step explanation:

step 1. x > 23 means x values greater than 23 but not equal to 23.

step 2. the graph would have an open circle above 23 and a line with an arrow at the end pointing right.

Answer:A

Step-by-step explanation:

Carol bought bananas for $0.50 per pound and 1 pint of strawberries for $2.25. If Carol paid $4.10, how many pounds, p , of bananas did she buy?

Which equation can be used to find p ?


A. .50p+2=4.10

B. .50p+2.25=4.10

C .50+2.25p=3.85

D. 2.75+.25p=4.10

Answers

Answer:

B. .50p+2.25=4.10

Step-by-step explanation:

The equation that need to determine the p is shown below:

Given that the bananas would be bought for $0.50 per pound and 1 pint of strawberries for $2.25

Now the total amount paid by Carol is $4.10

So, the equations would be

0.50p + 2.25 = 4.10

Therefore the option b is correct

Adam's starting salary is $52,750 per year. He is told that his salary will increase to $66,475 at the beginning of 9 years. What is the rate of Adam's salary?

Answers

Step-by-step explanation:

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