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3 years ago

An expression is given.

Mathematics

1 answer:

Katyanochek1 [597]3 years ago

5 0

9514 1404 393

Answer:

Step-by-step explanation:

Maybe you want to evaluate ...

16 - 14 ÷ 2 + (3 +2)²

The parentheses are evaluated first.

16 -14÷2 +5²

Then the exponential term.

16 -14÷2 +25

The division is evaluated next.

16 -7 +25

Finally, the sum is evaluated.

= 9 +25

= 34

____

Your calculator can do this arithmetic for you.

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What is the slope for this line?

Juli2301 [7.4K]

Answer:

Step-by-step explanation:

2/1=2, 8/4=2, 12/6=2

3 0

3 years ago

Solve t/he system of linear equations given by x + y = 1 and ax − by = c, where a, b, c are real numbers. Note: The solution in

Phantasy [73]

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

x + y = 1 → (1)

ax - by = c → (2)

In (1) subtract y from both sides

x = 1 - y → (3)

Substitute x = 1 - y into (2)

a(1 - y) - by = c ← distribute left side

a - ay - by = c ( subtract a from both sides )

- ay - by = c - a ( multiply through by - 1 )

ay + by = a - c ← factor out y from each term on the left side

y(a + b) = a - c ← divide both sides by (a + b)

y = $\frac{a-c}{a+b}$ ← substitute into (3)

x = 1 - $\frac{a-c}{a+b}$ = $\frac{a+b}{a+b}$ - $\frac{a-c}{a+b}$ = $\frac{a+b-a+c}{a+b}$ = $\frac{b+c}{a+b}$

8 0

2 years ago

At a raffle, 1500 tickets are sold at $2 each. There are four prizes given for $500, $250, $150, and $75. You buy one ticket. Us

wolverine [178]

Answer:

<u>The expected value of every ticket is a loss of $ 1.35</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Number of tickets sold at the raffle = 1,500

Price of each ticket = $ 2

Total prizes = 1 * $ 500 + 1 * $ 250 + 1 * $ 150 + 1 * $ 75

2. Use a probability distribution table to calculate the expected value of your gain. Your expected value is_____ ?

Let's answer the question using a probability distribution for the gains, this way:

Probability of 1st prize of $ 498 (500 - ticket) = 1/1,500
Probability of 2nd prize of $ 248 (250 - ticket) = 1/1,500
Probability of 3rd prize of $ 148 (150 - ticket) = 1/1,500
Probability of 4th prize of $ 73 (75 - ticket) = 1/1,500
Probability of losing $ 2 (ticket) = 1,496/1,500

Now, we calculate the mean for all the tickets (winners and non-winners), this way:

Expected value = [(1,496 * -2) + (1 * 498) + (1 * 248) + ( 1 * 148) + ( 1 * 73)]/1,500

Expected value = [- 2,992 +498 + 248 + 148 + 73)/1,500

Expected value = -2,025/1,500 = - 1,35

<u>The expected value of every ticket is a loss of $ 1.35</u>

8 0

3 years ago

The radius of the circle on a basketball court is 6 feet. What are the approximate circumference and area of the circle?

AlexFokin [52]

Circumference formula - 2pi(r)
area formula - pi(r)^2
in both of the formulas r is the radius so

to find circumstance: 2(pi)(6) = 25.68 feet

to find area: pi(6)^2 = 113.04 feet

4 0

2 years ago

What digit is in the tenths place in this number? 904.18

Y_Kistochka [10]

Hundreds - 9
Tens - 0
Ones - 4
Decimal point - .
Tenths - 1
Hundredths - 8

Hope this helped!

6 0

3 years ago