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Rainbow [258]
3 years ago
9

Every morning there is an 70% chance that I get to the bus on times. if each morning is independent of the others, what is the p

robability that I get to the bus on times at least 4 times in 5 days?
a 0.04437
b. 0.3915
c. 0.05220
d 0.5282
e 0.9657
Mathematics
1 answer:
insens350 [35]3 years ago
8 0

Answer:

d 0.5282

Step-by-step explanation:

Given the following :

Probability of getting to the bus on time = 70% = P = probability of success = 0.7

(1 - p) = probability of failure = 0.3

Number of trials(n) = 5 days

Number of sucesses (r) = atleast 4 days : >= 4

This is a binomial probability problem

P(r) = nCr × P^r × (1 - P)^(n - r)

P(X >=4) = P(4) + P(5)

P(4) = 5C4 × (0.7)^4 × (0.3)^1 = 0.36015

P(5) = 5C5 × (0.7)^5 × (0.3)^0 = 0.16807

P(4) + P(5) = 0.36015 + 0.16807 = 0.52822

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Answer:

Step-by-step explanation:

From the problem statement, we can setup the following equation:

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Dividing both sides by 7 will give us the answer:

N = 885

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A wooden plank of length x is cut into 8 sections such that each section is at most
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3 years ago
Jim is painting his new shed. If 1/5 gallon of paint covers 2/25 of the shed, how many gallons of paint would be needed to paint
djyliett [7]

Answer:

10 gallons of paint are needed

Step-by-step explanation:

If 1/5 gallon is 2/25 of the shed then 1 full gallon is 10/25 because 5 times 2 equals 10. So if 1 gallon is 10/25 then 2 gallons is 20/25 leaving 5/25 left of the first shed. 5 divided by 2 is 2.5, so therefore, it takes 2 gallons and 2.5/5 or 2.5 gallons simplified to paint one shed. Multiply 2.5 by 4 because you need to paint 4 sheds and that gives you 10.

3 0
3 years ago
Divide <br> 8x⁴-6x³+2÷2x²+3
arlik [135]

WhenWhen we divide 8x⁴ - 6x³ + 2 by 2x² + 3 The result obtained is 4x² - 3x - 6 remainder 9x + 20

<h3>What is quotient?</h3>

Quotient is the result obtained when division operation is carried out.

For example when 6 is divided by 2, the result obtained is 3. Thus, the quotient is 3

<h3>How to divide 8x⁴ - 6x³ + 2 by 2x² + 3 </h3>

To divide 8x⁴ - 6x³ + 2 by 2x² + 3, we shall apply the long division method. This is illustrated below:

                         <u> </u><u> </u><u>4</u><u>x² </u><u>-</u><u> </u><u>3</u><u>x</u><u> </u><u>-</u><u> </u><u>6</u><u>  </u>      

             <u>2x² + 3 </u>| 8x⁴ - 6x³ + 2

                       <u>  -(8x⁴ + 12x²)</u>

                         -6x³ - 12x² + 2

                        <u> -(-6x³ - 9x) </u>

                        -12x² + 9x + 2

                         <u>-(-12x² - 18)</u>

                          9x + 20            

 

Thus, the result obtained when we divide 8x⁴ - 6x³ + 2 by 2x² + 3 is 4x² - 3x - 6 remainder 9x + 20

Learn more about quotient:

brainly.com/question/9197434

#SPJ1

7 0
1 year ago
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