Find P (Senior Girl) Hint: P(A and B)
P(B)
Classroom of Students
Boys Girls
Freshman 4 48
Sophomore 5 7 12
Junior 2
35
Senior 1
4 5
12 18
Reduce your fraction to lowest terms.
Enter the number that belongs in the green box.

Answer:

187,725

Step-by-step explanation:

7,509/.04=187,725

Answer:

The visiting team took more shots than the home team.

Step-by-step explanation:

In scenerio 1, the money in the retirement account at 62 years old is         $1,267,250.76

In scenerio 2, the money in the retirement account at 62 years old is         $ 633,625.38.

Scenerio 1:

a) 6% of salary = Salary * 6% = $6,100 * 6% = $366

b) Total amount the company paid monthly = 6% of salary = Salary * 6% = $6,100 * 6% = $366

c) The money in the retirement account at 62 years old can be calculated using the formula for calculating the Future Value (FV) of an Ordinary Annuity given as follows:

FV = M * (((1 + r)^n - 1) / r) ................................. (1)

Where:

FV = Future value = Money in the retirement account at 62 years old = ?

M = Monthly payment = Contribution you + Contribution by the employer = $366 + $366 = $732

r = Monthly interest rate = Annual interest rate / 12 = 6.28% / 12 = 0.0628 / 12 = 0.0052

n = number of months = Number years * Number of months in a year = (Retirement age – Age when hired) * 12 = (62 - 25) * 12 = 37 * 12 = 444

Substituting all the values into equation (1), we have:

FV = $732 * (((1 + 0.0052)^444 - 1) / 0.0052)

FV = Money in the retirement account at 62 years old = $1,267,250.76

d) Amount of money you put into the account = 6% of salary * number of months = $366 * 444 = $162,504

e) Amount of money your employer put into your account = Amount of money you put into the account = $162,504

f) Amount your account gained in interest over the years = FV – (Amount of money you put into the account + Amount of money your employer put into your account) = $1,267,250.76 – ($162,504 + $162,504) = $942,242.76

Scenario 2:

a) 3% of salary = Salary * 3% = $6,100 * 3% = $183

b) Total amount the company paid monthly = 3% of salary = Salary * 3% = $6,100 * 3% = $183

c) Using equation (1), we have:

M = Monthly payment = Contribution you + Contribution by the employer = $183 + $183 = $366

Substituting all the values into equation (1), we have:

FV = $366 * (((1 + 0.0052)^444 - 1) / 0.0052)

FV = Money in the retirement account at 62 years old = $633,625.38

d) Amount of money you put into the account = 3% of salary * number of months = $183 * 444 = $81,252.00

e) Amount of money your employer put into your account = Amount of money you put into the account = $81,252

f) Amount your account gained in interest over the years = FV – (Amount of money you put into the account + Amount of money your employer put into your account) = $633,625.38 – ($81,252 + $81,252) = $471,121.38

The difference in the amount of money at age 62 between scenarios 1 and 2 = Money in the retirement account at 62 years old in scenarios 1 + Money in the retirement account at 62 years old in scenarios 2 = $1,267,250.76 - $633,625.38 = $633,625.38

Difference in the amounts of money you put into retirement between scenarios 1 and 2 = $366 - $183 = $183

Amount got from your employer in scenario 1 than 2 = $366 - $183 = $183

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Answer:

V = πr2h (Volume of a cylinder is the area of a circle times its height). V = 8167.14. π = 3.14. h = 9.

Step-by-step explanation:

Answer:

just keep in mind am not sure if the answer 6:15:20

Step-by-step explanation:

now we have ab= 2 : 5

               and bc= 3 : 4

so b is the common one between them so multiply both of the b together which will give u 15 so now we have b = 15

to get a multiply  2 by 3 to get 6 so a = 6

to get c multiply 4 by 5 to get 20 so c = 20

now I hope that its correct and that u understood

Answer:

i think 132. but I could be wrong.

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Subtract 15 from both sides then divide by 3.

Answer:

3x + 15 = 90

3x = 90 - 15

3x = 75

x = 25

The Quotient of Powers was used to simplify this expression is By simplifying 8 to 2^3 to make both powers base two and subtracting the exponents

We have given that,

2 to the fifth power, over 8 = 22

The simplification calculator allows you to take a simple or complex expression and simplify and reduce the expression to it's simplest form or to rewriting the same algebraic expression with no like terms and in a compact manner.

By simplifying 8 to 2^3 to make both powers base two and subtracting the exponents.

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Step-by-step explanation: To solve this equation, you'll need to use the order of operations to determine the correct sequence of steps to follow. The order of operations is a set of rules that specifies the order in which calculations should be performed in a math problem. It helps to prevent ambiguity and ensures that all calculations are performed consistently.Here is the order of operations:Perform any calculations inside parentheses or brackets first.Perform all multiplications and divisions, working from left to right.Perform all additions and subtractions, working from left to right.Using this order, we can solve the equation as follows:3.5 x 4 + 11 x 2.2 = 14 + 11 x 2.2

3.5 x 4 + 11 x 2.2 = 14 + 24.2

3.5 x 4 + 11 x 2.2 = 38.2Therefore, the solution to the equation is 38.2.

Using BODMAS,

B-Bracket

O-Of

D-Division

M-Multiplication

A-Addition

S-Subtraction

Multiplication comes first before addition, so

3.5×4=17

+

11×2.2=24.2

17+24.2=41.2

To simplify 3 ratios, divide each part of the ratio with the same amount and keep diving numbers in the ratio until they are as small as possible but they remain as whole numbers.

To simplify or reduce a fraction, first, we need to find a common factor between the ratio numbers. When we have multiple ratio numbers, we must find a common factor between all of them.

The greatest factor between all the ratio numbers (greatest common factor) will be utilised to divide or reduce the ratios down to their lowest form.

For example reduce the ratio 225: 125: 25

The first step is to determine a common factor between all of the ratio numbers. In this example, we can see that all of the numbers end in either 5 or 0. This means that each number should have 5 as a factor.

If numbers are large and we are not sure of the greatest common factor between them all, we can reduce by a common factor and then reduce again.

Now divide each number by 5 and see what we get.

225/5: 125/5: 25/5

45: 25: 5

When we divide each one by 5 again, we can see that each number again ends in 5 or 0 which means that 5 is still a factor of each number.

Now divide each number by 5 again and get a final ratio of 9: 5: 5.

45/5: 25/5: 5/5

9: 5: 1

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Answer:

He got a 19 out of 20, great job Edwin ;)

Step-by-step explanation:

Hope this helps :)

Edwin missed 1 question on the quiz.

The percentage is defined as a ratio expressed as a fraction of 100.

If Edwin got 95% of the questions right on a quiz and there were 20 questions in total, we can calculate the number of questions he missed by finding 5% of the total number of questions.

First, let's find 5% of 20:

= 5% of 20

= (5/100) x 20

= 1 x 20 / 100

= 20 / 100

= 0.2

Since we can't have a fraction of a question, we round the decimal up to the nearest whole number.

In this case, 0.2 rounds up to 1.

Therefore, Edwin missed 1 question on the quiz.

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That means after 6  weeks will Haley have at least the same amount of

money as Kendra

Kendra and Haley are each saving money. Kendra starts with $100 in his savings account and adds $5 per week. Haley starts with $10 in her savings account and adds $20 each week. After how many weeks will Haley have at least the same amount of money as Kendra?

Kendra and Haley are each saving money.

Kendra starts with $100 in his savings

account and adds $5 per week.

After 6 week 6* 5 = 30

Total amount in After 6 week in  Kendra savings

account = $100 + $30

             = $130

Haley starts with $10 in her savings account and

adds $20 each week.

After 6 week 6* 20 =120

Total amount in After 6 week in  Haley savings

account = $10 + $120

             = $130

That means after 6  weeks will Haley have at least the same amount of

money as Kendra

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Answer:

9°C

Step-by-step explanation:

Given that :

Temperature at 6:00 = - 3°C

The change in temperature by midday = temperature rise of 12°C

The temperature at midday is :

Temperature at 6:00 + change in temperature

-3°C + 12°C

= 9°C

Answer:

104 ft^2

Step-by-step explanation:

Answer:

104 ft²

Step-by-step explanation:

you can solve this multiple ways, one way is: find the area of the big rectangle and subtract from it the area of the small rectangle

big rectangle

A big = 8 * (5+6+5)= 8 * 16 = 128 ft²

small rectangle

Asmall = 4*6 = 24 ft²

area of the shape

Abig -Asmall = 128-24 = 104 ft²

Answer:

Step-by-step explanation:

Answer:

6,532

Step-by-step explanation:

ixl

Answer:

x=-1, y=-2. (-1, -2).

Step-by-step explanation:

2x-5y=8

3x+5y=-13

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

5x=-5

x=-5/5

x=-1

2(-1)-5y=8

-2-5y=8

5y=-2-8

5y=-10

y=-10/5

y=-2

Answer:

12 meters

Step-by-step explanation:

hdhwhehhehhdhshheheheheueueje

Answer: 56.6

Step-by-step explanation:

You find the volume by V=1/3hπr² , it becomes 56.55 . you round that to the nearest ten then it leads you to 56.6

The length of the map would be 3 inches.

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: length of the road as 6/5 miles and on the map 9/5 inches and thus 1 mile = 1.5 inches and therefore the length of the 2 mile road on the map is 2×1.5=3 inches

Hence, The length of the map would be 3 inches.

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It depends on your personal financial situation and goals. Generally, it is important to save for major purchases such as a house, car, and vacations, as well as setting aside money for retirement. Additionally, you may want to consider investing in stocks, bonds, or mutual funds to achieve your long-term financial goals.

The range for the following set of scores: 6, 12, 9, 17, 11, 4, and 14 is 13.

In statistics, the range is a measure of dispersion that describes the difference between the largest and smallest values in a dataset. The range is used to describe the spread of a dataset and can be a simple way to identify outliers or unusually large or small values. It is a simple measure of statistical dispersion and is most useful for interval and ratio data.

It is calculated by subtracting the minimum value from the maximum value among the data set.

range = maximum value - minimum value

Plug in the necessary values and solve for the range.

range = 17 - 4

range = 13

Therefore, the range for the following set of scores is 13.

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The proportion and percentage is as follows;

[tex]$\begin{array}{cccc}\text { Score Interval } & f & \text { Proportion } & \text { Percentage } \\ 9-10 & 29 & 0.19 & 19 \% \\ 7-8 & 53 & 0.34 & 34 \% \\ 5-6 & 50 & 0.32 & 32 \% \\ 3-4 & 22 & 0.14 & 14 \% \\ 1-2 & 1 & 0.01 & 1 \%\end{array}$[/tex]

A percentage represents a ratio or fraction with a denominator that is always 100 as opposed to a proportion, which asserts the equivalent of two ratios or fractions.

Given

[tex]$\begin{array}{cccc}\text { Score Interval } & f & \text { Proportion } & \text { Percentage } \\ 9-10 & 29 & 0.19 & 19 \% \\ 7-8 & 53 & & \\ 5-6 & 50 & & \\ 3-4 & 22 & 0.14 & 14 \% \\ 1-2 & 1 & 0.01 & 1 \%\end{array}$[/tex]

To estimate the total frequency:

Total = sum f

Total = 29 + 53 + 50 + 22 + 1

Total = 155

The proportion (p) exists calculated by:

[tex]$p = \frac{f}{\text { Total }}[/tex]

The percentage (P) exists calculated by:

P = p × 100 %

For interval 7 - 8, we have:

p = 53 / 155 = 0.34

P = 0.34 × 100 % = 34 %

For interval 5 - 6, we have:

p = 50 / 155 = 0.32

P = 0.32 × 100 % = 32 %

So, the complete table is:

[tex]$\begin{array}{cccc}\text { Score Interval } & f & \text { Proportion } & \text { Percentage } \\ 9-10 & 29 & 0.19 & 19 \% \\ 7-8 & 53 & 0.34 & 34 \% \\ 5-6 & 50 & 0.32 & 32 \% \\ 3-4 & 22 & 0.14 & 14 \% \\ 1-2 & 1 & 0.01 & 1 \%\end{array}$[/tex]

The complete question is:

A statistics content developer at Aplia wanted to know whether study skills are related to memory quality. She invited student volunteers to perform an online memory task. The students saw a list of 60 words and were then asked to recognize a list of five brand new words that are related to words that were on the original list. Students were also asked to provide their GPAs.

Consider the following data set, which was collected from student volunteers in 2009. The table gives the frequency for the number of incorrectly identified related words. Use the dropdown menus to complete the table by filling in the missing values for the proportions and percentages.

Score Interval f Proportion Percentage

9â10 29 0.19 19%

7â8 53

5â6 50

3â4 22 0.14 14%

1â2 1 0.01 1%

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Answer: The product of 5 and a number

Step-by-step explanation:

The expression 5n represents the product of 5 and a number. For example, let the number be 8. Therefore, the value of the expression will be:

= 5n

= 5 × 8

= 40

The sum of 5 and a number will be:

= 5 + n

The difference of 5 and a number will be:

= 5 - n

[tex]40 \div 100 \times 70 \\ 4 \times 7 = 28 \\ 70 - 28 = 42[/tex]

Step-by-step explanation:

First find 40% of 70, which is 28

Then subtract the 28 from 70 to find the goals scored by the rest of the team

Answer:

x = 30 in

Step-by-step explanation:

length of rectangle is (2/3)x + 10; width is (1/3)x + 5;

perimeter is 90 in; find x:

P = 90 in = 2(2/3)x + 2(10) + 2(1/3)x + 2(5), or

      90 in = (6/3)x + 30 in

Solving for x, we get (2)x = 60 in, or x = 30 in

Step-by-step explanation:

This both answer can be

Answer:

1. 6
2. 15

Step-by-step explanation:

4 pumpkins: $32
=> 1 pumpkin = 32 : 4 = $8
- He will have to sell 48 : 8 = 6 pumpkins to make $48

- He sold: 120 : 8 = 15 pumpkins that day

Answer:

The outcomes that have more than 1 female are -

MFF, FMF, FFM, FFF

Step-by-step explanation:

Given - Kias mom is having triplets. Each baby could either be male or female.

To find - Which outcome would be included in the compound event "more than one female"

Solution -

The sample space outcomes are -

{MMM, MMF, MFM, MFF, FMM, FMF, FFM, FFF}

Now,

The outcomes that have more than 1 female are -

MFF, FMF, FFM, FFF

Answer$84:

Step-by-step explanation:

Answer: 25%

Step-by-step explanation: