MATHEMATICS HIGH SCHOOL

Which of the following represents the probability that someone whoworks full time has more than $5,000 in credit card debt?
(A) P(full time and credit card debt over $5,000)
(B) P(full time or credit card debt over $5,000)
(C) P(full time credit card debt over $5,000)
(D) P(credit card debt over $5,000 | full time)
(E) P(full time)*P(credit card debt over $5,000)

Answers

Answer 1

Answer:

Answer:

The correct option is;

(E) P(full time) × P(credit card debt over $5,000)

Step-by-step explanation:

The given parameters are;

The mode of employment of a person = Full time

The amount of debt in the credit card = More than $5,000

The probability that a person works full time = P(full time)

The probability that the person has over $5,000 in credit card debt = P(credit card debt over $5,000)

Therefore, the probability that someone who works full time has more than $5,000 in credit card debt = P(full time) × P(credit card debt over $5,000)

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anna bakes 12 blueberry muffins, 20 bran muffins, and 8 apple muffins. what percent of the muffins are blueberry?

Answers

Answer:

$\%_B_b=(3)/(10) =0.3=30\%$

Step-by-step explanation:

When we talk about percentages, we refer to that amount, which, proportionally, refers to a part of the total. In this sense, the total amount of muffins would equal 100%. And we need to find what is the percentage of the amount of blueberry muffins, so:

Let:

$Bb=Amount\hspace{3}of\hspace{3}blueberry\hspace{3}muffins\nB=Amount\hspace{3}of\hspace{3}bran\hspace{3}muffins\nA=Amount\hspace{3}of\hspace{3}apple\hspace{3}muffins\n\%_T=Total\hspace{3}percentage=100\%\n\%_B_b=Percentage\hspace{3} of \hspace{3}blueberry\hspace{3} muffins$

$T=Total\hspace{3}amount\hspace{3}of\hspace{3}muffins$

Using cross-multiplication we can find the what percent of the muffins are blueberry:

$(\%_T)/(\%_B_b)= (Bb+B+A)/(Bb) \n\n(100\%)/(\%_B_b) =(12+20+8)/(12)$

Solving for $\%_B_b$

$\%_B_b=(12*100)/(12+20+8)=(1200)/(40)=30\%$

30%. You want to add up all the muffins (which is 40) and make that your denominator. then as the numerator you make it as many blueberry muffins Anna has. (which is 12) you divide 12÷40×100. and that gives you a percent of 30.

Which describes all of the values for which the graph is positive and decreasing?A.all real values of x where x < −1
B.all real values of x where x < 1
C.all real values of x where 1 < x < 3
D.all real values of x where x > 3

Answers

The statement that describes all of the values for which the graph is positive and decreasing is:

C.) ALL REAL VALUES OF X WHERE 1 < X < 3

The number 1 ensures that the value of x will remain positive.
Since x is less than 3, then the value of x is decreasing.

Answer:

Step-by-step explanation:

The number 1 ensures that the value of x will remain positive.

Since x is less than 3, then the value of x is decreasing.

Find the value of x.

Answers

Answer:

110 degrees

Step-by-step explanation:

The sum of all the interior angles of a polygon is always equal to 180(n-2) where n is the number of sides. In this figure, there are 7 sides. This means that the sum of all the interior angles is 180(7-2) = 180 * 5 = 900.

Now, add up all the angles that you know and subtract that from 900 to find the value of x.

900 - (105 + 150 + 140 + 135 + 125 + 135) = 900 - 790 = 110 degrees

110 degrees ^^^^^^^^^

If 4x - 3 = 5, then x=

Answers

Answer:

x=2

Step-by-step explanation:

4x-3=5

4x-3 plus 3 and 5 plus 3

4x=8

Divide both sides by 4

x=2

Answer:

X = 2

Step-by-step explanation:

This is how I got the answer:

Move constant to the right-hand + change signs

4x = 5 + 3

add

4x =5 + 3

4x = 8

Divide by both sides to get the answer of;

X = 2

In a two week period it was sunny 3/7 of the day's. How many day's were sunny?

Answers

3/7*14
3*2
6

So, we are left with 6 days

$(3)/(7)\cdot14=3\cdot2=6$

6 days

Divide £56 in a ratio of 4:3

Answers

÷you need to find how many parts there are ; 4 + 3 = 7

you then need to divide the number by the parts ; £56 ÷ 7 = £8

1 part = £8

4:3, 4 parts : 3 parts.

4 x £8 = £32

3 x £8 = £24

4:3 = £32:£24

to check your answer ;

add both parts of your final answer , £32 + £24 = £56

4+3=7
56/7 = 8
4 x 8 is 32
3 x 8 is 24
The answer is £32 and £24.
Hope this helps you!! =')

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