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3 years ago

6

A coin is tossed twice. Determine whether the events of getting tails twice are independent or dependent. Then identify the indi

cated probability.

1 answer:

Bezzdna [24]3 years ago

6 0

Answer:

Hi there!

They are independent. The first toss does <u>not</u> change the outcome of the sides. If you have a fair coin it's 50-50 weight.

1/2 × 1/2 = 1/4

There's a 25% chance of getting tails twice

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Derrick will need $39,500 in 10 years for college tuition. How much should his parents invest now at 9.5% annual interest, compo

erastova [34]

Answer:

His parents should invest $15,278.16 to reach this goal ⇒ 4th answer

Step-by-step explanation:

* Lets explain how to solve the problem

- Derrick will need $39,500 in 10 years for college tuition

∴ The future amount is $39,500

∴ The time for investment is 10 years

- P is the money his parents invest now at 9.5% annual interest,

compounded daily

∴ The rate is 9.5% per year compounded daily

- The formula of the compounded interest is:

$A=P(1+\frac{r}{n})^{nt}$ , where

# A is the future value of money

# P is the value of investment

# r is the rate of interest in decimal

# t is the time of investment

# n is the period of the time

∵ A = $39,500

∵ t = 10

∵ r = 9.5/100 = 0.095

∵ n = 365 ⇒ compounded daily

- Lets use the formula above to find P

∴ $39500=P(1+\frac{0.095}{365})^{365*10}$

∴ $39500=p(2.58539)$

- Divide both sides by 2.58539

∴ P = $15278.16

∴ His parents should invest $15,278.16 to reach this goal

7 0

3 years ago

Maggie purchased 8 pounds of ground beef for $18.00. Which of the following does NOT represent the same price per pound?

agasfer [191]

Answer: 5 pounds of ground beef ( don't see second :-( )

Step-by-step explanation: I found the unit rate per pound ( 2.25 ) and then multiplied that by the other pounds to compare the two prices and I only found 5 pounds to be incorrect, but I'll keep digging, hope this helps!

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3 years ago

How do I solve this equation: -5/6b + 3/4 = 1/2b - 2/3 ?

Gre4nikov [31]

First get like things on the same side:
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Then find equivalent fractions to make the equation easier to solve.
-5/6b - 3/6b= -8/12 - 9/12

Then just add things together and solve.
-8/6b= -17/12
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b= (-17/2)/-8
b= 17/16

You can then plug the answer back into the original question to make sure it is the correct answer.

3 0

4 years ago

Given f(x) = x^2 + x − 2 and g(x) = 2x − 4, identify (f + g)(x).

shutvik [7]

Answer:

(f + g)(x) = x^2 + 3x - 6

Step-by-step explanation:

Given f(x) = x^2 + x − 2 and g(x) = 2x − 4

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3 years ago

Read 2 more answers

Sum of interior angles of a convex 14-gon

just olya [345]

Answer: 2160°

Step-by-step explanation:

The sum of angles in a polygon is represented by the formula:

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In this case, the complex polygon has 14 sides (n = 14)

So, (14 - 2) x 180°

= 12 x 180°

= 2160°

Thus, the sum of interior angles of a convex 14-gon is 2160°

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3 years ago