The probability that a first year student entering a certain private college needs neither a developmental math course nor a developmental English is 61% while 21% require a developmental math course and 37% 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:

7.77%

Step-by-step explanation:

When dealing with calculating a sequence of probabilities for an specific event such as this one you simply need to multiply the seperate probabilities of each part of the event happening together. Which in this case would be 21% and 37%. We first need to convert these percentages into decimal form by dividing each of them by 100. Once we have the decimal form we multiply them together to find the answer.

21% / 100 = 0.21

37% / 100 = 0.37

0.21 * 0.37 = 0.0777   ... multiply by 100 to get percent form

0.0777 * 100 = 7.77%

Finally, we can see that the probability that a first-year student requires both a developmental math course and a developmental English course is 7.77%

Answer 2

The probability that a first year student requires both a development math course and a developmental English course is 7.77%

Calculation of the probability:

Since The probability that a first year student entering a certain private college needs neither a developmental math course nor a developmental English is 61% while 21% require a developmental math course and 37% require a developmental English course.

So, the probability is

[tex]= 0.21 \times 0.37[/tex]

= 7.77%

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Related Questions

V= 1/3(3.14)r^2, what would r be?

Answers

The value of 'r' in terms of 'V' is calculated as 0.99√V.

What is meant by square root?

The square root of a number is a value that, when multiplied by itself, yields the original number. The square root is the opposite of squaring a number.

"√" is the standard symbol for the square root. It's known as a radical symbol. The said symbol can be used to represent the square root of a number 'x'.where x is a positive integer.The number beneath the radical symbol is known as the radicand. For instance, the square root of 6 is also known as the radical of 6. Both have the same value.

Now, the given expression in the question is;

V= 1/3(3.14)r²

This can be written in the term of V as;

r² = (V×3)/3.14

Taking square root on the both sides;

r = √[(V×3)/3.14]

r = 0.99√V

Thus, the value of the r is obtained as 0.99√V.

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This question is designed to be answered without a calculator.

Use this graph of function f.



For how many values of x is f not differentiable over the interval (–4, 4)?

Answers

Answer:

4

Step-by-step explanation:

In the graph of the function, between the interval (-4, 4), there are 4 values of x for which the given function is not differentiable.

What is implicit differentiation?

The method of determining the derivative of an implicit function by differentiating each term separately, expressing the derivative of the dependent variable as a symbol, and solving the resulting expression for the symbol.

here,
The function from observation seems to be a discontinuous function,
And the function is not differentiable at x = -1, 0, 1, and 3.
So there are 4 points in the interval (-4, 4) where the function is not differentiable.

Thus, In the graph of the function, between the interval (-4, 4), there are 4 values of x for which the given function is not differentiable.

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Write the equation in slope intercept form (y=mx+b)




y = 3 + 4(x − 1)

Answers

Answer:

y=4x-1

Step-by-step explanation:

y=3+4(x-1)  <------ distribute property

y=3+4x-4    <---- combine 3 and -4

y=4x-1

Answer: y=4x-1

Step-by-step explanation:

y=3+4(x-1)                  Given

y=3+4x-4                    Distributive Property

y=4x-1                         Combine Like Terms

Have no clue how to do this. Please help me. I will give a Brainly and extra questions.

Answers

Answer:

Step-by-step explanation:

f(x)=5x-3; g(x)=2x^2-5 find (g o f)(-2)

Answers

I think the answer would be 12

A truck loaded 1258 kg of rice from Factory A.
loaded 855 kg more rice from Factory B than from Factory A.
How many kilograms of rice did it load altogether?

Answers

Answer:

1258

+855

8 plus 5 =13

so you will write the 3

reminder 1

5plus 5=10 plus 1=11

so you will write 1 reminder 1

8 plus 2 plus 1=11

so you will write 1 reminder 1

1 plus 1=2

ANS:2113

What are the two other ways you can write the ratio 3 to 4?
Blank 1:
Question 2
A group of preschoolers has 15 boys and 12 girls. What is the ratio of girls to boys? Please try to simplify
Blank 1:
Question 3

Simplify the ratio 12 to 15

Blank 1:
Question 4
A group of preschoolers has 8 boys and 24 girls. What is the ratio of girls to all children?
Blank 1:
Question 5
Simplify the ratio 24/32

Blank 1:

Answers

Step-by-step explanation:

1. 3:4, 6:8, 9,12

So 12:15 is the same thing as 12/15 you need to simplify so 12 devided by 2 is 4 and 15 divided by 3  is 5 so question to is 4:5

the ratio of 3to4 is 7.42069 and 12 to 1362 the others r to hard for my big brain

Step-by-step explanation:

what is the estimate of 29 x 688

Answers

Answer:

19952 :)

Step-by-step explanation:

Step-by-step explanation:

29 turns to 30

688 turns to 700

30×700=21000

Which function has a vertex on the y-axis?
O fx) = (x - 2)2
O f(x) = x(x + 2)
O f(x) = (x-2)(x+2)
O f(x) = (x + 1)(x - 2)

Answers

Imma go with B has a vertex on the y-axis

Answer: c

Step-by-step explanation:

Just took the test

select Function 4 and use the Range and Domain sliders to identify the range and domain. Complete parts 1 and 2 below. Use the interactive figure to find your answer. Use the left and right arrow keys to move along a slider as needed. Click here to launch the interactive figure.

Answers

Answer:

Domain:  (-∞, 2] U (3, 6]
Range: (-∞ , 1] U (-1, 4]

Step-by-step explanation:

This is a piecewise function. It has a discontinuity at x=2 and x = 3

The domain of a piecewise function is the union of the domains of each piece of the function. Similarly the range for a piecewise function is the union of the ranges for each piece of the function

Looking at the graph, we can see two subdomains. When x ≤ 2 , we have one subdomain and when x > 3 there is another subdomain. We state this as
D = - ∞ < x  ≤ 2 or 3 < x ≤ 6
In interval notation we represent this as

D =  (-∞, 2] U (3, 6]


The nature of the brackets is important a [ or ] bracket means that the value to which it is attached is included whereas an open bracket, (    or     ) means that value is not included

For example,  (-∞, 2] means that everything below x = 2 to -∞ is part of the domain but it does not include -∞; since at -∞, a function is not defined. However it does include 2 in the domain as can be seen by the closed bracket on the right

The other subdomain is for x > 3 (note: a filled circle means the value is included, an empty circle denotes the value is excluded)

The second subdomain is
3 < x ≤ 6
In interval notation, it is (3, 6]

So the total domain is the union of the two intervals

The range is also discontinuous and there are two distinct ranges. The range is nothing but all the set of values generated by the function. So we look at all possible values for y that the function produces

The Range of this function is  -∞ < f(x) ≤ 1 or -1 < f(x) ≤ -4
In interval notation this is
R = (-∞ , 1] U (-1, 4]

Find the quotient of 5 1/2 and 1/8

Answers

Answer:

5.625

Step-by-step explanation:

5 1/2 + 1/8 = 5 5/8 = 5.625

Triangle B has vertices (−1, 2), (1, 2), and (−1, 1).

Which triangle is similar to triangle B?


Triangle X with vertices (−2, 4), (2, 4), and (−2, 2)

Triangle Z with vertices (−2, 4), (2, 4), and (−2, 3)

Triangle Y with vertices (−1, 4), (1, 4), and (−1, 2)

Triangle W with vertices (−2, 0), (2, 0), and (−2, −1)

Answers

Step-by-step explanation:

Triangle X with vertices (−2, 4), (2, 4), and (−2, 2)

Two similar triangles have the same corresponding ratio thus the triangle similar to{ (−1, 2), (1, 2), and (−1, 1) } is { (−2, 4), (2, 4), and (−2, 2) } thus option (A) will be correct.

What is a triangle?

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

As per the given vertices of a triangle (−1, 2), (1, 2), and (−1, 1).

The plot of the triangle using the above vertices plotted below,

The triangle with vertices (−2, 4), (2, 4), and (−2, 2) also has been plotted.

The ratio of the corresponding length of the blue triangle to purple is 4/2 = 2.

Hence "Two similar triangles have the same corresponding ratio thus the triangle similar to{ (−1, 2), (1, 2), and (−1, 1) } is { (−2, 4), (2, 4), and (−2, 2)". }

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If you see marginal cost increasing in a graph, this implies that
a. marginal product must be increasing, too.
b. the additional cost incurred in producing one more unit of output is decreasing.
c. the company is experiencing some inefficiency in production.
d. the productivity of the company is increasing.

Answers

If you see marginal cost increasing in a graph, this implies that; b. the additional cost incurred in producing one more unit of output is decreasing.

What is the interpretation of the marginal cost?

The marginal cost is the change in total production cost that comes from making or producing one additional unit.

When marginal product is rising, the marginal cost of producing another unit of output is declining and when marginal product is falling marginal cost is rising. Thus, Option A and D are not correct.

Option C is wrong because Marginal cost helps to increase efficiency in  production.

Thus, option B is the correct answer.

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If the measures os an exterior angle of a regular polygon is 120 degrees, how many sides does the polygon have?

Group of answer choices

3

6

5

4

Answers

5 bc i took the test and it said it was right so

A statistical quality control process for cereal production measures the weight of a cereal box. The population standard deviation is known to be 0.09 ounces. If we wish to estimate the population average cereal box weight to within 0.011 ounces and be 94% confident, how large a sample should be used

Answers

Answer:

the sample should be 237

Step-by-step explanation:

The computation of the large the sample be used is shown below:

Given that

Standard deviation = 0.09 ounces

margin of error = 0.011

For 94% confidence interval, the z value be 1.88

As we know that

Margin of error = ((z score × standard deviation) ÷ (Sample size))^2

0.011 = (1.88 × 0.09) ÷ (Sample size))^2

0.011 = 0.1692 ÷ (Sample size))^2

So, the sample size be

= 15.38^2

= 236.60

Hence, the sample should be 237

Multiply. Write your answer as a fraction in simplest form.
5
4x
6

Answers

What is the specific problem? There are vertically listed numbers, but no necessary equation. Please let me know what the problem is and i’ll be happy to help :)

help me please I really need help

Answers

Answer:

25.46

Step-by-step explanation:

6.7X3.8

please HURRY IM ON A QUIZ

if 2 is substituted for x, which expression will NOT equal 5?

Answers

Answer:

It will be 2x -1

If x=2

2*2 - 1 = 4 - 1 = 3

Step-by-step explanation:

7 - x    If x=2

7 - 2 = 5

11 - 3x   If x=2

11 - 3*2 = 11 - 6 = 5

2x -1   If x=2

2*2 - 1 = 4 - 1 = 3

4x - 3    If x=2

4*2 - 3 = 8 - 3 = 5

Use the slope formula to determine the slope of the line containing the two points.

(8/5, - 9/2) and (-3/4, 1/3)

A) -250/51

B) -366/65

C) 290/51

D) -290/141

Answers

The answer is B hope this helps

Jacqueline is 1 7/10 and Roderick is 1 .88 meters tall. How much is taller is roderick?

Answers

Answer:

0.18 meters taller

Step-by-step explanation:

1 7/10 → 1.70

1.88

-1.70

---------

0.18

PLS HELP FOR A GRADE DUE TODAY BRUH PLS

Answers

Answer:

A Yes, because every x-vaule has a single y-vaule

Step-by-step explanation:

None of the points share a point on the x axis meaning none of them are directly vertical of each other they are all seperate from each other.

Answer:

A

Step-by-step explanation:

Simplify the expression: 3(5x - 2) + 3x

Answers

Answer:

Original: 3(5x - 2) + 3x

15x - 6 +3x

Answer: 18x - 6

Answer:

18x-6

Step-by-step explanation:

3(5x-2)+3x

Distribute 3 into the parathesis: 15x-6+3x

Combine like terms: 18x-6

Your final answer is 18x-6

the diagram shows a wire attached to the top of a telephone pole. To the nearest foot, what is the height of the telephone pole?​

Answers

Answer:

60 feet

Step-by-step explanation:

Answer:

58 feet

Step-by-step explanation:

80x80 - 55x55 = 58.09

Paula pays $19.92 for 2.4 pounds of walnuts. What is the price per pound of walnuts?

Answers

The price per pound of walnuts is $8.3

Cost of 2.4 pounds of walnuts = $19.92

Cost of 1 pound of walnuts = 19.92/2.4 = $8.3

In mathematics, a pound is a unit of measurement that represents an object's mass or the volume of substance it occupies. Pounds essentially tell us how heavy something is. For instance, a soccer ball weighs roughly one pound. Lb or lbs are used to denote pounds, where "lb" stands for libra.

A pound is a unit of weight that is equivalent to 16 ounces, 7,000 grains, or 0.45359237 kg in avoirdupois, and to 12 ounces, 5,760 grains, or 0.37324171216 kg in troy and apothecaries' weight. The abbreviation lb comes from the Latin word libra, which was the origin of the contemporary pound.

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ab=4x+17 ad=96+2x find bc

Answers

By subtraction of functions, the length of the line segment BC is equal to 79 - 2 · x units.

How to use the subtraction of functions

In this question we find to two line segments that are collinear to each other. Each line is represented by a linear functions, whose length equations are:

AB = 4 · x + 17             (1)

AC = 96 + 2 · x            (2)

AB + BC = AC  

BC = AC - AB               (3)

Then, by (1) and (2) on (3):

BC = (96 + 2 · x) - (4 · x + 17)

BC = 79 - 2 · x

By subtraction of functions, the length of the line segment BC is equal to 79 - 2 · x units.

Remark

After a quick investigation, we conclude that the statement has typing mistakes, correct form is shown below:

If AB = 4 · x + 17 and AC = 96 + 2 · x, then find the expression of BC.

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Pleas help I give brainliest, its my final

Answers

The third one is correct


Find the distance between the points.
(-3,0) and (3,0)

Answers

Answer:

It would be 0

Step-by-step explanation:

as both points lie on x-axis

Margret is inviting 3 friends to a party. If each friend will get 8 cookies and each box has 6 cookies, how many boxes does Margret need to get?​

Answers

Answer:

Margret need to get 4 boxes of cookies.

Step-by-step explanation:

Total friends = 3

Cookies each friend will get = 8

Each box has cookies = 6 cookies

How many boxes does Margret need to get?

Total cookies will be= Total friends x Cookies each friend will get

Total cookies will be= 3 x 8 = 24

If one box has 6 cookies and we need total 24 cookies so, divide 24 by 6 to get number of boxes

Number of boxes = Total cookies/ number of cookies in one box

Number of boxes = 24/6

Number of boxes  = 4

So, Margret need to get 4 boxes of cookies.

hellllpppp will give brainliest !!

Answers

I think the answer is c

A student earned 50% on a 100 question quiz. How many questions did
the student answer correctly?*

Answers

Answer:

50

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

it is 50 because he got 50%

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