Exams are approaching and Helen is allocating time to studying for exams. She feels that with the appropriate amount of studying, she has an 80% chance of getting an A in Marketing. She also feels that she has a 60% chance of getting an A in Spanish with the appropriate amount of studying. Given the demands on her time, she feels that she has only a 45% chance of getting an A in both classes. What is the probability that Helen does not get an A in either class?

Answers

Answer 1

Answer: 0.05

Step-by-step explanation:

Let M = Event of getting an A in Marketing class.

S = Event of getting an A in Spanish class,

i.e. P(M) = 0.80 , P(S) = 0.60 and P(M∩S)=0.45

Required probability = P(neither M nor S)

= P(M'∩S')

= P(M∪S)'                                 [∵P(A'∩B')=P(A∪B)']

=1- P(M∪S)                               [∵P(A')=1-P(A)]

= 1- (P(M)+P(S)- P(M∩S))   [∵P(A∪B)=P(A)+P(B)-P(A∩B)]

= 1- (0.80+0.60-0.45)

= 1- 0.95

= 0.05

hence, the probability that Helen does not get an A in either class= 0.05


Related Questions

Simplify

(2x– 3) (5x4 – 7x3 + 6x2 – 9)



A. 10x5 – 29x4 + 33x3 - 18x2 18x + 27
B. 10x5 - x4-9x3 – 18x2 -18x - 27
C. 10x5 + 29x4 – 33x3 + 18x2 + 18x - 27
D. 10x5 + x4 + 33x3 + 18x2 + 18x + 27

Answers

Answer: (A)=10x5−29x4+33x3−18x2−18x+27

Step-by-step explanation:

How i solved it was by simplifying each answer there was available and (A) was the most compatiable answer!

=(2x+−3)(5x4+−7x3+6x2+−9)

=(2x)(5x4)+(2x)(−7x3)+(2x)(6x2)+(2x)(−9)+(−3)(5x4)+(−3)(−7x3)+(−3)(6x2)+(−3)(−9)

=10x5−14x4+12x3−18x−15x4+21x3−18x2+27

=10x5−29x4+33x3−18x2−18x+27

Answer:

=(2x+−3)(5x4+−7x3+6x2+−9)

=(2x)(5x4)+(2x)(−7x3)+(2x)(6x2)+(2x)(−9)+(−3)(5x4)+(−3)(−7x3)+(−3)(6x2)+(−3)(−9)

=10x5−14x4+12x3−18x−15x4+21x3−18x2+27

=10x5−29x4+33x3−18x2−18x+27

Step-by-step explanation:

What is the solution set for 8(2−h)>−3h−4?

Answers

Answer:

h < 4

Step-by-step explanation:

Simplify both sides

-8h + 16 > -3h - 4

Add 3h to both sides

-5h + 16 > -4

Subtract 16 from both sides

-5h > -20

Divide both sides by -5

-20 divided by -5 = 4

Since you divided by a negative number, you change the inequality sign to < instead of >

r/4 - 1.4 =1.58 what should be the first step?

Answers

Answer:

R/4 - 1.4 =1.58

R/4 = 1.58 + 1.4

R/4 =2.98

r=11.92

Step-by-step explanation:

How would the underline look like

Answers

Answer:

the correct answer is C

Find the area of a square with a side of length 2 Square root of 3+6 square root of 7 inches

Answers

Answer:

(264+24√21) in²

Step-by-step explanation:

Area of a square = Length * Length

A = L²

Given the length of a square as [tex]2\sqrt{3}+6\sqrt{7}[/tex] inches' The area of the square will be calculated as shown;

[tex]A = (2\sqrt{3}+6\sqrt{7})^2\\\\A = (2\sqrt{3}+6\sqrt{7})(2\sqrt{3}+6\sqrt{7})\\\\A =(2\sqrt{3})(2\sqrt{3})+(2\sqrt{3})(6\sqrt{7})+(6\sqrt{7})(2\sqrt{3})+(6\sqrt{7})(6\sqrt{7})\\\\A = 4\sqrt{9}+12\sqrt{21}+12\sqrt{21}+36\sqrt{49}\\\\A = 4(3)+24\sqrt{21}+36(7)\\ \\A = 12+24\sqrt{21}+252\\\\A = 264+24\sqrt{21}[/tex]

Hence the area of the square is (264+24√21) in²

4|m-n| if m= -7 and n=2

Answers

4|-7-2| = 4|-9| = 4x9 = 36

Identify three of the key messages used by advertisers when promoting their products.

Answers

Answer:

1. "Everyone is doing it"; 2. "It's fun to use our products"; 3. "You will be successful if you use our products."

Step-by-step explanation:

9. Find the sum of the first 6 terms of the sequence: –3, 1, 5, 9, . . . options: A) 25 B) 48 C) 42

Answers

Answer:

C. 42.

Step-by-step explanation:

This is an arithmetic sequence with common difference d = 4 and first term a = -3.

Sum of n terms = (n/2)[2a + (n - 1)d]

Sum of  six terms = (6/2)[2(-3) + (6 - 1)4]

= 3 * (-6 + 20)

= 42.

Answer:

C) 42

Step-by-step explanation:

Given is an Arithmetic Sequence, where

First term a = - 3

Common Difference d = 1-(-3)= 4

n = 6

[tex]S_6=? \\ \\ \because \: S_n = \frac{n}{2} \{2a + (n - 1)d \} \\ \\ \therefore \: S_6 = \frac{6}{2} \{2 \times ( - 3) + (6 - 1)4 \} \\ \\ \therefore \: S_6 = 3 \{ - 6 + 20\} \\ \\ \therefore \: S_6 = 3 \times 14 \\ \\ \huge \red{ \boxed{ \therefore \: S_6 = 42}}[/tex]

Are the two triangles below similar?
PLEASE HELP ME!!!!!!!!!!​

Answers

Answer:

im going with number 3 sorry if im wrong

Step-by-step explanation:

Answer:

Yes; they have congruent corresponding angles.

Step-by-step explanation:

The two triangles are similar because their angles measure are the same. This is because 70 + 28 + 92 = 180 degrees and all Euclidean triangles angles measures must have a sum of exactly 180 degrees.

convert this statement into a conditional statement: 2 angles that add up to 180 degrees are supplementary

Answers

answer:
if 2 angles add up to 180 degrees, then they are supplementary

-7x+4y+9-4x=-7-5-5(-x-3y)

Answers

Answer:

for x = −11y/16+ 21/16

for y = 16x/11 +21/11

Step-by-step explanation:

SOMEONE HELP PLEASE.............

What is the x-coordinate of the solution of the following system of equations?

3x + y = 6
x - y = 6

A. -3
B. 0
C. 3​

Answers

Answer:

(3,-3) or x = 3

Step-by-step explanation:

I solved this problem with the help of graphing, you would start by sketching each equation. The x-value of the point where both equations intersect would be solution to your equations.

Explain how to find the LCM of 8 and 10

Answers

Answer: Start by listing the first five multiples of each number. Then circle the common multiples. Finally, identify the least of these common multiples. The LCM of 8 and 10 is 40.

Step-by-step explanation:

Answer:

Start by listing the first five multiples of each number. Then circle the common multiples

Step-by-step explanation:

marcus wants to buy candy. He has 5$. Each candy bar cost 75 cents. how many candy bars can he buy? define the variable you would use to solve the problem.

Answers

Answer:

5*75

Step-by-step explanation:

Answer:6

Step-by-step explanation:

If you divide 5.00 by 0.75 and you'll get 6.6666666667 and it says how many candy bars so it will be 6 because the other point and lower stuff isn't a whole candy bar

-200 + {37}{3}4.5) -200 + 55.5

Answers

Answer:

-294.55

Step-by-step explanation:

-200+ 49.95 -200 +55.5

49.95+55.5-200-200

-294.55

Solve the equation . Check your solution

Answers

Answer:

x=48/8=6

Step-by-step explanation:

simple form

8x-48=0

fractionized

8(x-6)=0

can someone help ASAP plzz

Answers

Answer:

c. 84 ft²

Step-by-step explanation:

lateral area = 1/2 * base perimeter * height

where

base sides = 6 ft.

height (L) = 7

lateral area = 1/2 x (4*6) * 7

lateral area = 84 ft²

LA = 1/2pl

p = base perimeter

l = length

p = (6 * 4)

p = 24

l = 7

Use the formula and solve.

LA = 1/2(24)(7)

LA = 1/2(168)

LA = 84

Therefore, the answer is C

Best of Luck!

To make grape juice by using frozen juice concen-trate, you must mix the frozen juice concentrate with water in a ratio of 1 to 3. How much frozen juice concentrate and how much water should you use to make 11 this problem in two different ways by reasoning about multiplication and division with quanti-ties, explaining your reasoning in each case.

Answers

Answer:

To make 11 grape juice, you will need:

11 (1 * 11) frozen juice concentrate and

33 (3 * 11) water.

Step-by-step explanation:

Since you are making 11 grape juice containers and each container requires 1 frozen juice concentrate and 3 quantities of water, to get the maximum quantities of ingredients required, you will multiply each ingredient by 11.

With the sum of ratio as 4 (1:3), we can also say that 44 (4 * 11) units of both frozen juice concentrate and water are required to produce 11 units of the grape juice.  Dividing 44 by 4 also gives 11 units.  Similarly, dividing the total ingredients of the frozen juice of 11 units by 11 juice concentrate gives 1 unit each and dividing 33 units by 11 quantity of water gives 3 units each in every unit of the juice produced.

What number is 136% of 12.24?

Answers

Answer:

I really don't know but I'm trying to hurry for my quiz lol sorry

Answer:

cxcxcxcxcxgergddgg

Step-by-step explanation:

Decide whether or not the matrices are inverses of each other.
[6 - 5]
[ -3 5 ] and [1/3 1/3 ]
[ 1/5 2/5]
A) No B) Yes

Answers

Answer:

Yes, the matrices are inverses of each other.

Step-by-step explanation:

Kindly check attached picture for the organized question and answer

Coffee is a leading export from several developing countries. When coffee prices are high, farmers often clear forest to plant more coffee trees. Here are data on prices paid to coffee growers in Indonesia and the rate of deforestation in a national park that lies in a coffee-producing region for five years. Price (cents per pound) Deforestation (percent) 25 0.31 49 1.69 60 1.66 55 1.7 68 3.31 (a) Make a scatterplot. (Do this on paper. Your instructor may ask you to turn this in.) Which is the explanatory variable? What kind of pattern does your plot show? Price is the explanatory variable. The plot shows a negative linear association. Price is the explanatory variable. The plot shows a positive linear association. Price is the explanatory variable. The plot shows no linear association. Deforestation is the explanatory variable. The plot shows a positive linear association.

Answers

Answer:

The plot shows a positive linear association. Price is the explanatory variable.

*See attachment for the scatterplot of the data

Step-by-step explanation:

The rate of deforestation is dependent on the price of coffee. Therefore, the explanatory variable is the price of coffee, which affects rate of deforestation.

The response variable is the rate of deforestation. The rate of deforestation is influenced by the price of coffee.

When plotting a scatter plot, the values for the explanatory variable are plotted on the x-axis, while the response variables are plotted on the y-axis.

The data given below is what we would use in plotting the scatterplot shown in the attachment:

Explanatory variable, X, (Price, cents per pound) => Response variable, Y, (deforestation, %)

25 => 0.31

49 = > 1.69

60 => 1.66

55 => 1.7

68 => 3.31

The scatterplot graphed as shown in the attachment shows a positive linear relationship between price of coffee and rate of deforestation. As price increases, rate of deforestation also increases.

On Monday a team of street sweepers cleaned 4 city blocks. Tuesday, the team cleaned 2 1/6 times as many blocks as on Monday. How many city blocks did the street sweepers clean on Tuesday?

Answers

1/5 is the answer :0000

There will be twelve and a half city blocks of the street sweepers clean on Tuesday.

What is a fraction?

The numerator, which is found at the top of the fraction number, and the denominator, which is located at the bottom, are its two component components.

It is given that, four city blocks were cleaned by a crew of street sweepers on Monday. The crew cleaned 2 1/6 as many blocks on Tuesday as they did on Monday.

Suppose the number of city blocks the street sweepers cleaned on Tuesday will be x,

x = 4 +  2 1/6 × 4

x=4+13/6×4

x=12.6≈ 12 1/2

Thus, the street sweepers will clean twelve and a half city blocks on Tuesday.

Learn more about the fraction here:

brainly.com/question/1301963

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These tables of values represent continuous functions. For which functions will the y-values be the greatest for very large values of x?​

Answers

∆....A....∆

1 6

2 18

3 54

4 162

5 486

The function with the greatest y-values for very large values of x is C.

The y-values in function C increase at a much faster rate compared to the other functions as x becomes larger. In function C, the y-values are growing with a constant difference of 200 for each increase in x. This means that for every unit increase in x, the y-value increases by 200. This linear relationship results in significantly larger y-values for larger x-values.

On the other hand, the other functions (A, B, and D) do not exhibit such rapid growth. Function A has a cubic relationship, which does lead to larger values than a linear relationship, but it is still not as rapid as the linear increase in function C. Function B also has a linear relationship, but the constant difference between y-values is much smaller than in function C (only 75).

Function D has a constant difference of 5 between y-values, resulting in a very slow growth as x becomes larger.

In conclusion, function C has the greatest y-values for very large values of x due to its linear relationship with a constant difference of 200 between y-values for each unit increase in x.

To learn more about continuous functions, here

https://brainly.com/question/30089268

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The copper content of 18-carat gold was measured by two methods for six different samples collected from a jewelry production plant. Sample Method 1 Method 2 A 2.2% 2.5% B 1.8% 2.2% C 2.5% 3.0% D 3.0% 3.2% E 2.6% 2.3% F 2.6% 2.7% Which test would you use to determine if the results obtained by the two methods agree within experimental error?

Answers

Full question attached

Answer:

Paired t test

Explanation:

The paired sample t test is used to measure or compare the mean of two observations or samples by measuring each subject two times as is seen above with the gold measurement which would result in two sets or pair of samples in a statistical procedure. We observe from the question that we measure each gold with two methods and then compare result of the two methods in terms of their mean error using the paired t test.

Jose spent $34.50 on a bike rental in Miami, Florida. The rental store charged a base fee of $8.50 for the first hour, and an hourly rate of $3.25 for each additional hour. The following sign is displayed to show the prices for the first 4 hours.

Answers

Answer:

8.5+2.25x=34.5

edit***

18.25+3.25h=34.5


Solve for Xon the following Equations.
1. 4 + 7 x X = 22

Answers

Step-by-step explanation:

4 + 7 x X = 22

4+7x=22

7x=22-4

7x=18

x=18/7

You would add the 4 and 7 then get 11 x X=22. Once you get that subtract the 11 from both sides to get X=11

3) Find the total cost of a $14.50 movie with a 30% markup.

Answers

Answer:

18.85

Step-by-step explanation:

ILL MARK BRAINLIST !! SHOW WORK

Answers

Answer: Here is your answer dude

- Complete the following paragraph proof.
Given: 44 -2(3x + 4) = -18
Prove: x = 9

Answers

Doing it in reverse order of operation. U can start by +2 or remove -2 on the left side :) and move it onto the -18 (right side)

in Sean’s fish tank, there are 6 times as many goldfish as guppies. There are a total of 21 fish in the tank. How many more goldfish are there than guppies.

Answers

Answer: There are 15 more goldfish than guppies.

Step-by-step explanation:

Since there are 6 times as many goldfish as guppies, then. Now 3 + 18 = 21 the total fish in the tank. Hence there are 3 guppies and 18 goldfish. and 18 - 3 = 15, thus there are 15 more goldfish than guppies.

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