In the senior year of a high school graduating class of 100 students, 42 studied mathematics, 68 studied psychology, 54 studied history, 22 studied both mathematics and history, 25 studied both mathematics and psychology, 7 studied history but neither mathematics nor psychology, 10 studied all three subjects,and 8 did not take any of the three. Randomly select a student from the class and find the probabilities of the following events. (a) A person enrolled in psychology takes all three subjects. (b) A person not taking psychology is taking both history and mathematics

Answer:

Sorry I can only help you in 5a. The answer is 70 degrees because it is a central angle. The measure of an arc and a central angle is the same.

Step-by-step explanation:

Answer:

130 in will be the correct answer

Answer:

Evaluate each expression:

Answer:

5 = 10

6 = 13

7 = 5

8 = 17

Step-by-step explanation:

5.

1: simplify

[tex]\sqrt{8^2+6^2}[/tex]

2: take both to power

[tex]\sqrt{64+36}[/tex]

3: sqrt

[tex]\sqrt{100} = 10[/tex]

6.

1: simplify

[tex]\sqrt{5^2+12^2}[/tex]

2: take both to power

[tex]\sqrt{25+144}[/tex]

3: sqrt

[tex]\sqrt{169} = 13[/tex]

7.

1: simplify

[tex]\sqrt{4^2+3^2}[/tex]

2: take both to power

[tex]\sqrt{16+9}[/tex]

3: sqrt

[tex]\sqrt{25} = 5[/tex]

8.

1: simplify

[tex]\sqrt{15^2+8^2}[/tex]

2: take both to power

[tex]\sqrt{225+64}[/tex]

3: sqrt

[tex]\sqrt{289} = 17[/tex]

Step-by-step explanation:

1 m (meter) is 100 cm (centimeters).

so, 7 m is 700 cm.

each piece is r × 2.54 cm long (as every inch is 2.54 cm).

so,

number of pieces = 700 / (r × 2.54)

The number of species can find by expression is

700 / (r × 2.54)

We have given that

Sophia has 7 m of ribbon

she will cut pieces of ribbon that are each r inches long.

We have to calculate the number of pieces of ribbon that she will have

What is the value of 1 meter in cementer?

1 (meter) =100 (centimetres).........(1)

multiply both side by 7

7 m is 700 cm.

each piece is

r × 2.54 cm long ..................(as 1 inch is 2.54 cm).

so,

[tex]number of pieces = 700 / (2.54r)[/tex]

Therefore the number of species can find by expression is

700 / (r × 2.54)

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Step-by-step explanation:

a = ½bh

a = ½ × 3 × 6

a = ½ × 18

a = 9 in²

Answer:

18in

Step-by-step explanation:

6×3=18

hope its help

Answer:

20:4

Step-by-step explanation:

got it for u

Answer: 1/3

Step-by-step explanation:

The scale factor is 1/3 because each side of figure B is 1/3 the magnitude of figure A.

Answer:

Step-by-step explanation:

We know that, when combining 2q + 8q we'll get → 10q

1) q • 10 (Nope)

2) 10q (yes, It's equivalent)

3) q +9q (combine) → 10q (yes, It's equivalent)

4) q + q+ 8q (combine) → 10q ( yes, It's equivalent)

So therefore, 10q , q +9q, q + q+ 8q are expressions equivalent to 2q + 8q..

~

Hope this helps!

Answer:It’s A: Population.

Step-by-step explanation:

Answer:

A. 23.1

B. 0.3

Step-by-step explanation:

When rounding to one decimal place, look at the next number, (in this case, in the hundredths column) if the number is 5 or above, round up and if it’s four or below, round down

Answer:

  f(x) = x^3

Step-by-step explanation:

To identify the parent function, replace any added constants with 0, and replace any constant multipliers with 1. Doing that gives you ...

  f(x) = 1·x^3 -0

  f(x) = x^3 . . . . . . the parent function

Answer:

$5.02

Step-by-step explanation:

The unpaid balance method is a common method used by credit card companies to calculate finance charges. It determines the finance charge based on a portion of the previous balance you have not yet paid.

Equations to use:

[tex]\boxed{\begin{minipage}{9.7cm}\phantom{w}\\Periodic (monthly) rate = annual interest rate $\div$ 12\\\\Finance Charge = previous balance $\times$ periodic rate\\\\Unpaid Balance = previous balance + finance charge +\\\phantom{wwwwwwwwwww} new purchases - returns - payments\\\end{minipage}}[/tex]

The periodic rate is the interest rate charged over a certain number of time periods. The interest on a credit card is usually calculated monthly, so if the annual interest rate is 21%, then the periodic (monthly) rate is:

[tex]\text{Periodic Rate}=\dfrac{21\%}{12}=1.75\%=0.0175[/tex]

The unpaid balance is "last month's balance", which is $385.

Calculate the finance change by multiplying the previous balance (last month's balance) by the periodic rate:

[tex]\begin{aligned}\text{Finance change} &=\rm previous\; balance \times periodic\;rate \\&=\$385 \times 0.0175 \\&= \$6.7375\end{aligned}[/tex]

Calculate the unpaid balance by subtracting the returns and payments from the sum of the previous balance, finance charge and new purchases:

[tex]\begin{aligned}\rm Unpaid \; Balance &= \rm previous\; balance + finance\;charge +new \;purchases\\&\phantom{=w}\rm - returns - payments\\&= \$385 + \$6.7375 + \$303 - \$158 - \$250 \\&= \$286.7375\end{aligned}[/tex]

Finally, to calculate the current month's finance charge, multiply the unpaid balance by the periodic rate:

[tex]\begin{aligned}\text{Current month's finance charge}&=\rm unpaid \;balance\times periodic \;rate\\&=\$286.7375 \times 0.0175 \\&= \$5.02\; \text{(nearest cent)}\end{aligned}[/tex]

Therefore, the current month's finance charge is $5.02 to the nearest cent.

Answer:

[tex](x-3)(-5x-2)[/tex]

or [tex]-(x-3)(5x+2)[/tex]

Step-by-step explanation:

quadratic equation format: [tex]a^2+b^2+c[/tex]

Therefore, for  [tex]-5x^2+13x+6[/tex],  a = -5, b = 13 and c = 6

Multiply the coefficient of [tex]x^2[/tex] ([tex]a[/tex]) by the constant term ([tex]c[/tex])
[tex]\implies -5 \times 6 = -30[/tex]

Find two numbers which have a product of -30 and a sum of [tex]b[/tex] (13)

Factors of 30:  1 and 30, 2 and 15, 3 and 10, 5 and 6

So -2 and 15 have a product of -30 and sum of 13.

Rewrite  [tex]13x[/tex]  as  [tex]15x-2x[/tex]  and substitute into the equation:

[tex]\implies -5x^2+15x-2x+6[/tex]

Factorize the first two terms and the last two terms separately:

[tex]\implies-5x(x-3)-2(x-3)[/tex]

The bracket created should always be the same.

The two brackets have now been found. The first bracket is the common factor of (x - 3). The second bracket is the factorized terms outside of each bracket (-5x - 2).

[tex]\implies (x-3)(-5x-2)[/tex]

Additionally, we can write (-5x - 2) as -(5x + 2)

[tex]\implies -(x-3)(5x+2)[/tex]

Answer:

The answer I got was 13.

Step-by-step explanation:

I first did 30-27.01 to get 2.99.

I then divided 2.99 by 0.23 or 2.99/0.23 to get 13.

Hope this helped any!

f(x)=12x-8

f(-7)=12(-7)-8

f(-7)= -84-8

f(-7)= -92

Answer:

A

Step-by-step explanation:

because

Answer:

Step-by-step explanation:

(7/10 + -3)/(2 + 1/4)

(7/10 - 30/10)/(8/4 + 1/4)

(-23/10)/(9/4)

-2.3/2.25

-0.46/0.45 or -1.02 approximately

Answer:

Reduce the expression, if possible, by cancelling the common factors.

Exact Form:

[tex]\frac{74}{45}[/tex]

Decimal Form:

−1.64

Mixed Number Form:

−1 [tex]\frac{29}{45} \\[/tex]

Step-by-step explanation:

branliest

Answer:

  (c)  r units right

Step-by-step explanation:

The translation transformations are ...

  g(x) = f(x -h) +k . . . . . . . shifts h units right and k units up

Your transformation has h=r and k=0, so the graph is shifted r units right and no units vertically.

_____

Additional comment

This in not terribly mysterious. Suppose you have f(1) = 6. This means the point (1, 6) is on the graph.

Now, suppose you transform this to ...

  g(x) = f(x -2)

When the value of x is 3, the value of g(x) is f(3-2) = f(1) = 6. That means the point (3, 6) is on the graph of g(x).

It is the same as the point (1, 6) on the graph of f(x), but shifted 2 units to the right.

__

You can shift a function r units right by replacing x with (x-r), as we just discussed. You can shift a function u units up by replacing y with (y-u). When we write equations in "functional form", the "u" gets "moved."

  y-u = f(x) . . . . . graph of f(x) shifted u units up

  y = f(x) +u . . . . graph of f(x) shifted u units up. (u added to both sides of the above equation)

Answer:

if 600 people were surveyed it means that 10% equals 60 since 60x10=600. Since we now know that 10% is 60, this would mean that 20% is 120. meaning that 120 people took the bus

The number of years it would take to double his money is 34.7 years.

The formula that can be used to determine time is:

Number of years =  In(FV/PV) / r

Where:

In2 / 0.02 = 34.7 years

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Answer:

1. b

2. a

3. a

Step-by-step explanation:

1. the answer is x=7

2 and 3 answer is x = R which isn't really a real solution

Answer: it is right same exact test i did

Answer:

aₙ= 1.5aₙ₋₁ with a₁= 3

Step-by-step explanation:

recursive formula is represented by aₙ=b· aₙ₋₁

Answer:

maybe 5,5-6 foot. don't really keep track I just know they are almost as tall as me

Step-by-step explanation:

Divide 12/14 by 2:

[tex]\frac{12 \div 2}{14 \div 2} =\frac{6}{7}[/tex]

Simplified. Can't be a mixed number, less than 1.

Divide 27/90 by 9:

[tex]\frac{27 \div 9}{90 \div 9} =\frac{3}{10}[/tex]

Simplified. Can't be a mixed number, less than 1.

The possible values of for a, k, and b from the graph of the function will be D. a=4, k=2, b= pi/4.

A function simply means a relation between the set of inputs and the outputs.

A function from set X to set Y assigns each element of X to Y. In this case, the set X is the domain while the set Y is the codomain.

From the graph attached, it can be seen that the values of for a, k, and b from the graph of the function will be a=4, k=2, b= pi/4.

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