Mclane is playing a game where you get 5 points for correct answers and lose 3 points for incorrect answers. If he gets 6 questions correct and 7 questions incorrect, what was his final score?

Answer: 0.02

Step-by-step explanation:

OpenStudy (judygreeneyes):

Hi - If you are working on this kind of problem, you probably know the formula for the probability of a union of two events. Let's call working part time Event A, and let's call working 5 days a week Event B. Let's look at the information we are given. We are told that 14 people work part time, so that is P(A) = 14/100 - 0.14 . We are told that 80 employees work 5 days a week, so P(B) = 80/100 = .80 . We are given the union (there are 92 employees who work either one or the other), which is the union, P(A U B) = 92/100 = .92 .. The question is asking for the probability of someone working both part time and fll time, which is the intersection of events A and B, or P(A and B). If you recall the formula for the probability of the union, it is

P(A U B) = P(A) +P(B) - P(A and B).

The problem has given us each of these pieces except the intersection, so we can solve for it,

If you plug in P(A U B) = 0.92 and P(A) = 0.14, and P(B) = 0.80, you can solve for P(A and B), which will give you the answer.

I hope this helps you.

Credit: https://questioncove.com/updates/5734d282e4b06d54e1496ac8

Answer:

The probability that a randomly selected employee works both part time and 5 days each week is 0.02

Step-by-step explanation:

What is probability?

Probability is a branch of math which deals with finding out the likelihood of the occurrence of an event.

The total employees =100

Let A= Employees who work part time = 14

and B = Employees who work 5 days each week = 80

Then, A∪B= 92

We have to find, P(A∩B)

P(A∪B)=P(A)+P(B)-P(A∩B)

[tex]\frac{92}{100}=\frac{14}{100}+\frac{80}{100}-[/tex]P(A∩B)

0.92=0.14+0.8-P(A∩B)

0.92=0.94-P(A∩B)

P(A∩B)=0.02

Hence, the probability that a randomly selected employee works both part time and 5 days each week is 0.02.

To know more about probability here

https://brainly.com/question/23044118

# SPJ2

Answer:

-3 1/2

Step-by-step explanation:

-4.5 + 1 = -3.5

Answer:

y = 0.5

x = 4 - y (0.5)

3.5 = 4 - 0.5

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

3x - 10 = y

3(3.5) - 10 = y

10.5 - 10 = y

0.5 = y

Answer: 0.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

It all depends on how many people are in your class.

To calculate probability

Determine a single event with a single outcome.

Identify the total number of outcomes that can occur.

Divide the number of events by the number of possible outcomes.

To determine the probability, Use the formula

What is the formula of probability?

P(A) is the probability of an event “A” n(A) is the number of favourable outcomes. n(S) is the total number of events in the sample space.

P(A | B) = P(A∩B) / P(B)

Answer:

jus draw a m-f trapizod from googl-e

Step-by-step explanation:

Answer:

A. a regular trapezoid

B. they both have at least a pair of parallel sides

Step-by-step explanation:

Trapezoids have only one pair of parallel sides; parallelograms have two pairs of parallel sides. A trapezoid can never be a parallelogram.

Answer:

Step-by-step explanation:

Answer:

The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area

Step-by-step explanation:

Answer:

[tex]x = log(6) = 0.778[/tex]

Step-by-step explanation:

[tex]6(10)^x - 3= 33\\6(10)^x=36\\10^x=6\\log(10^x) = log(6)\\x = log(6) = 0.778[/tex]

Answer:

[tex]\frac{x-5}{\left(x-3\right)\left(x+2\right)}+\frac{2}{\left(x-3\right)\left(x+2\right)}=\frac{1}{2+x}[/tex]

Step-by-step explanation:

[tex]\frac{x-5}{\left(x-3\right)\left(x+2\right)}+\frac{2}{\left(x-3\right)\left(x+2\right)}[/tex]

[tex]\mathrm{Apply\:rule}\:\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]

[tex]=\frac{x-5+2}{\left(x-3\right)\left(x+2\right)}[/tex]

[tex]\mathrm{Add/Subtract\:the\:numbers:}\:-5+2=-3[/tex]

[tex]=\frac{x-3}{\left(x-3\right)\left(x+2\right)}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:x-3[/tex]

[tex]=\frac{1}{2+x}[/tex]

Answer:

A

Step-by-step explanation:

Answer: x = -9

Step-by-step explanation:

When you look at the line, you can see it's plotted on the x-axis. From there you know the solution will be equal to x. Since the line passes right through the number -9 on the x-axis line, the answer would be x = -9. The line is straight which means it has no y intercept which is why x is only equal to -9.

Answer: 9 x + 7 /2

Step-by-step explanation:

Answer:

 8 + 9x

Step-by-step explanation:

This is an algebraic expression.  Our job here is to simplify it by combining like terms:  combine the x terms and then combine the constants:

-3x + 5 ¾ + 12x - 2.25, after combining the x terms, is

       5 ¾ +    9x - 2.25

Next, combine the constants.  It's easier to convert -2.25 to -2 1/4 and then

add this 2 1/4 to 5 3/4:  

             8 + 9x

Answer:

[tex] \boxed{x = 45°} [/tex]

Step-by-step explanation:

When two chords intersect at a point in a circle, they form arcs, along with angles at the intersection point.

To determine the angle of the arc, we must apply this geometric rule:

[tex] Angle \: formed \: by \: chords = \frac{1}{2}(sum \: of \: intersecting \: arcs) [/tex].

Since we are looking for one of the arcs, we can rearrange this formula to solve for the first arc.

[tex] Angle \: formed \: by \: chords = \frac{1}{2}(sum \: of \: intersecting \: arcs) [/tex] →

[tex] Angle \: formed \: by \: chords = \frac{1}{2}(\overset{\frown}{BA} + \overset{\frown}{CD}) [/tex] →

[tex] 2 × Angle \: formed \: by \: chords = \overset{\frown}{BA} + \overset{\frown}{CD} [/tex] →

[tex] 2 × Angle \: formed \: by \: chords \: – \: \overset{\frown}{CD} = \overset{\frown}{BA} [/tex]

[tex] \overset{\frown}{BA} = 2 × Angle \: formed \: by \: chords \: – \: \overset{\frown}{CD} [/tex]

[Given]

[tex] \overset{\frown}{BA} = x° [/tex]

[tex] \overset{\frown}{CD} = 99° [/tex]

[tex] Angle \: formed \: by \: chords \: = 72° [/tex]

→

[tex] \overset{\frown}{BA} = 2 × Angle \: formed \: by \: chords \: – \: \overset{\frown}{CD} [/tex]

→

[tex] x° = 2 × 72° \: – \: 99° [/tex]

[tex] x° = (2 × 72°) \: – \: 99° [/tex]

[tex] x° = 144° \: – \: 99° [/tex]

[tex] \boxed{x° = 45°} [/tex]

Answer:

The answer is A.

Step-by-step explanation:

Formula = 4/3pir^3

Diameter = 3

Radius = 3/2 = 1.5

Using the formula

1.5^3 = 3.375

3.375 * 4/3 = 4.5

Volume = 4.5 pi yd^3

Answer:

The answer is x = 5 square root of 27

Step-by-step explanation:

3x^5 = 81

3x^5 / 3 = 81 / 3

x^5 = 27

So the answer is x = 5 square root of 27

Answer:

10/8      15/12   20/16,   25/20,   30/24,   35/28,   40/32, 45/36, 50/40, 55/44, 60/48, 65/52, 70/56, 75/60, 80/64, 85/68, 90/72, 95/76, 100/80

There are probably hundreds of fractions that are equivalent to 5/4 but i am going to list 3-

1. 10/8

2. 15/12

3. 20/16

Answer:

38%

Step-by-step explanation:

If you convert the fraction to a decimal (0.375), and then multiply it by 100, you should get 37.5, which is the exact percentage.

37.5%

  ↓

38.0%

Your answer should be 38%.

[NOTE: 5 always rounds up]

Answer:

D

Step-by-step explanation:

boxes are the f. the amount in each is 24. theses will be mulitplied. then you want to add what he already had. that's the +39

Answer:

1,365 miles

Step-by-step explanation:

455 mph times 3 hours equals to 1,365.

Answer:

I believe it's the last one... "The association is linear based on the overall pattern"

Answer:

50 oz because 15 is 30 percent of 50

Step-by-step explanation:

Answer:

there was 50oz of juice originally

Step-by-step explanation:

Answer:

14. 6 x [tex]10^{17}[/tex]

15. 28.615 x [tex]10^{10}[/tex]

16. I'm so sorry, I'm not sure!

17. 1.26 x [tex]10^{10}[/tex]

18. 1.639 x [tex]10^{-8}[/tex]

19. 2.025 x [tex]10^{17}[/tex]

Hope that helps! I'm sorry if it's wrong, and sorry about all the trouble that has been brought upon you!

-Aphrodite

Step-by-step explanation:

Answer:

[tex](\sqrt[3]{729} )^{3}[/tex] + 24 can be simplified to 753.

Step-by-step explanation:

If you take the root of a number to a specific number, then square that by the same number you took the root by, then you will have the same number you started with. In this case, [tex]\sqrt[3]{729}[/tex] equals 9, and [tex]9^{3}[/tex] equals 729, so [tex](\sqrt[3]{729} )^{3}[/tex] equals 729. 729 + 24 = 753, so that is the simplified answer.

Answer:

25m + 10b = 400

Step-by-step explanation:

Total amount that can be earned = $ 400

Amount earned on mowing a lawn = $ 25

Amount earned per hour on babysitting = $10

Amount earned for mowing one lawn is $ 25, so amount earned for mowing m lawns will be $ 25m

Amount earned for one hour of babysitting is $ 10, so amount earned for babysitting for b hours will be $ 10b

Total amount earned = Amount earned from mowing m lawns + Amount earned from babysitting for b hours

Using the values from above, we can set up the equation as:

400 = 25m + 10b

Answer:

Step-by-step explanation:

A4 means the 4th number so it would be 17.

(22 + 15.50 + 2.75) 15

(22 * 15) + (15.50 * 15) + (2.75 * 15)