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Elis [28]
3 years ago
12

Three students work independently on a homework problem. The probability that the first student solves the problem is 0.95. The

probability that the second student solves the problem is 0.85. The probability that the third student solves the problem is 0.80. What is the probability that all are able to solve the problem
Mathematics
1 answer:
ludmilkaskok [199]3 years ago
5 0

Answer:

64.60% probability that all are able to solve the problem

Step-by-step explanation:

We have these following probabilities:

A 95% probability that the first student solves the problem.

An 85% probability that the second student solves the problem.

An 80% probability that the third student solves the problem.

What is the probability that all are able to solve the problem

The probabilities are independent, so we can just multiply them

0.95*0.85*0.8 = 0.646

64.60% probability that all are able to solve the problem

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Alina [70]

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\bf S_{20}=\displaystyle\sum \limits_{n=1}^{\stackrel{\stackrel{n}{\downarrow }}{20}}~\stackrel{\stackrel{a_1}{\downarrow }}{3}(\stackrel{\stackrel{r}{\downarrow }}{1.5})^{n-1}\implies S_{20}=3\left(\cfrac{1-1.5^{20}}{1-1.5} \right)\implies S_{20}=3\left(\cfrac{1-\stackrel{\approx}{3325.3}}{-0.5} \right) \\\\\\ S_{20}=3\left(\cfrac{-3324.3}{-0.5} \right)\implies S_{20}=3(6648.6)\implies S_{20}=19945.8

8 0
3 years ago
Read 2 more answers
What is the formula of a circle in terms of its circumference <br> A=pi*r^2<br> C=2*pi*r
Alja [10]

"Formula of a circle" is too vague to be meaningful. Perhaps you meant, "Formula for the area of a circle in terms of its circumference."

The area of a circle in terms of its radius is A = πr^2. To put this formula to use, we have to know the radius of the circle. The circumference of a circle in terms of its radius is C = 2πr, so a formula for the radius is r = C / (2π).

Now let's find a formula for the area of a circle in terms of its circumference:

C C^2

A = πr^2 = π { ---------------- }^2 = ------------

2π 4π

or:

A = (C^2) / 4π

5 0
3 years ago
Read 2 more answers
Select the correct answer. 3 A linear function has a y-intercept of -12 and a slope of 3/2. What is the equation of the line?
emmasim [6.3K]

Answer:

a. y = 3/2x - 12

Step-by-step explanation:

Slope is y = mx + b

Slope or m = 3/2

y-intercept or b = -12

Substitute m for 3/2 and b for -12 then the answer would be y = 3/2x - 12

8 0
3 years ago
gabriela has 4 times as many erasers as leona.leona has 8 erasers.how many erasers does gabriella have
ICE Princess25 [194]
4*8=32
Gabriella has 32 erasers.
8 0
3 years ago
The relative frequency distribution of the number of phobias reported by a hypothetical sample of 500 college students is given
goldenfox [79]

Answer:

a. 0.48

b. 0.14

c. 0.47

Step-by-step explanation:

Data provided in the question

0 - 2        0.48

3 - 5        0.26

6 - 8        0.12

9- 11        0.09

12- 14       0.05

Based on the above information

a. The probability for fewer than three phobias is

= P( x < 3)

= 0.48

b.  The probability for more than eight phobias is

= P( x >8)

= 0.09 + 0.05  

= 0.14

c. Probability between 3 and 11 phobias is  

= P(3 < x < 11)

= 0.26 + 0.12  + 0.09

= 0.47

3 0
3 years ago
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