You and a group of friends are going to a five-day outdoor music festival during spring break. You hope it does not rain during the festival, but the weather forecast says there is a 15% chance of rain on the first day, a 10% chance of rain on the second day, a 20% chance of rain on the third day, a 20% chance of rain on the fourth day, and a 60% chance of rain on the fifth day. Assume these probabilities are independent of whether it rained on the previous day or not. What is the probability that it does not rain during the entire festival

Answers

Answer 1
Answer:

Answer:

Probability that it does not rain during the entire festival = 0.19584

Step-by-step explanation:

We are given that you and a group of friends are going to a five-day outdoor music festival during spring break.

Also, Probability that there may be rain on first day, P(A) = 0.15

Probability that there may be rain on second day, P(B) = 0.10

Probability that there may be rain on third day, P(C) = 0.20

Probability that there may be rain on fourth day, P(D) = 0.20

Probability that there may be rain on fifth day, P(E) = 0.60

It is also provided that these probabilities are independent of whether it rained on the previous day or not.

Now, probability that it does not rain during the entire festival = Probability that there may not be rain on all five days

= (1 - P(A)) * (1 - P(B)) * (1 - P(C)) * (1 - P(D)) * (1 - P(E))

= (1 - 0.15) * (1 - 0.10) * (1 - 0.20) * (1 - 0.20) * (1 - 0.60)

= 0.85 * 0.90 * 0.80 * 0.80 * 0.40 = 0.19584


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WILL GIVE MEDAL AND FAN! you invest $5,175.00 in a stock plan. it increases 9% the first year and then loses 5% of it's value the second year. what is your gain compared to your original investment?

Answers

Answer:

$183.7125

Step-by-step explanation:

Given,

Original investment, A = $ 5,175.00

In first year,

Thetotal investment = $ 5,175.00

The amount is increased by 9 %,

Thus, the final amount at the end of first year,

A_1=5,175(1+(9)/(100))^1

=5175(1+0.09)

=5175(1.09)

=\$ 5640.75

In Second year,

The total investment = $ 5640.75,

The amount is decreased by 5 %,

Thus, the final amount at the end of second year,

A_2=5640.75(1-(5)/(100))^1

=5640.75(1-0.05)

=5640.75(0.95)

=\$ 5358.7125

Hence,

\text{Total Gain}=A_2-A

=5358.7125-5175

=\$183.7125

5,175 + 9% = 5640.75

5640.75 - 5% = 5302.305

Original investment = 5,175
Gain                          = 5,302.305

Subtract them both and get = 127.305

28.2% of 92 this is for math

Answers

Hey there!

Usually when you come across the word “of” in mathematical problems , it simply means that you’re multiplying

So we can simply multiply 28.2% from 92

28.2% = 28.2/100 = 0.282

New equation

0.282 * 92 = the answer

0.282 * 92 = 25.944

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

WILL GIVE MOST BRAINIESTWhich of the following functions best describes this graph?
A. y (x + 4) (x + 5)

Answers

Answer:

D. y =

Step-by-step explanation:

The solutions to this graph (meaning when y equals 0 or when the graph crosses the x-axis) are 4 and 5.

The only answer choice that has the solutions 4 and 5 when you factor it out is D.

Here's the proof:

x^(2) -9x  + 20

Factors of 20: - 5 & -4

Sums that add up to -9: -5 + (-4)

x^(2) -4x-5x+20

(factor the first two terms and the last two terms separately)

(x^(2)-4x)(-5x+20)

x(x-4) -5(x-4)

(x - 5) (x - 4)

Hope it helps (●'◡'●)

Rewrite the expression without using a negative exponent.12x^−4
Simplify your answer as much as possible.

Answers

12x^-4 =
12 * x^-4 =
12 * 1/(x^4) = 
12 / (x^4)
12x^-4
To make the exponent positive you have to bring the term x^-4 down so your answer would be= 12/x^4

An automobile traveled 106 miles in 2 hours. What was average speed? Use the formula d = rt .104 mph
0.02 mph
53 mph
108 mph
212 mph

Answers

The average speed of the automobile is 53mph.

Description of average speed

Average speed is the total distance travelled by the automobile (106 miles) divided by the total hours travelled by the automobile (2 hours). It is the rate of the movement of the automobile.

Determining the average speed

Average speed = total distance travelled / total time travelled

106 / 2 = 53 mph

To learn more about how to determine average speed, please check: brainly.com/question/9834403

If you can simplify this equation to the final stage I will reward you!! Try you're best!! I will not give my points to people that don't deserve them :)

Answers

k = -18

you can solve for k by simplifying both sides of the equation, then isolating the variable.

k=9     soo  got 9 by adding 6 and 8 which equals 14 then i thought 14 minus what equals 5 and got 9 which is the answer for k.