Help im sister needs help and i can't help her im doing my school work !

Find the area to the nearest square foot of the shaded region below, consisting of a square with a circle cut out of it. Use

Simora [160]

Answer:

the area is 10 feet by 10 feet, 100 feet²

subtract the area of the circle from this.

you get it by A = r² * pi

so 5² * 3.14159...

=78.5398163397

100-78.5398163397

is roughly 21.46 square feet

7 0

3 years ago

A student takes an exam containing 1414 multiple choice questions. The probability of choosing a correct answer by knowledgeable

Readme [11.4K]

Answer:

0.0082 = 0.82% probability that he will pass

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the students guesses the correct answer, or he guesses the wrong answer. The probability of guessing the correct answer for a question is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

$n = 14, p = 0.3$ .

If the student makes knowledgeable guesses, what is the probability that he will pass?

He needs to guess at least 9 answers correctly. So

$P(X \geq 9) = P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 9) = C_{14,9}.(0.3)^{9}.(0.7)^{5} = 0.0066$

$P(X = 10) = C_{14,10}.(0.3)^{10}.(0.7)^{4} = 0.0014$

$P(X = 11) = C_{14,11}.(0.3)^{11}.(0.7)^{3} = 0.0002$

$P(X = 12) = C_{14,12}.(0.3)^{12}.(0.7)^{2} = 0.000024$

$P(X = 13) = C_{14,13}.(0.3)^{13}.(0.7)^{1} = 0.000002$

$P(X = 14) = C_{14,14}.(0.3)^{14}.(0.7)^{0} \cong 0$

$P(X \geq 9) = P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) = 0.0066 + 0.0014 + 0.0002 + 0.000024 + 0.000002 = 0.0082$

0.0082 = 0.82% probability that he will pass

6 0

3 years ago

What is the volume of the sphere in terms of pie

NeTakaya

Answer: The volume is 288π .

Step-by-step explanation:

V= 4/3 *n*r^3

V = 4/3*n * 6^3

v=4/3 *n * 216

v= 288n

6 0

3 years ago

Can I get help please and thank you

Ipatiy [6.2K]

9514 1404 393

Answer:

a. 0.81

b. v = 28000(0.81^n)

c. 2757.36

Step-by-step explanation:

a. The growth factor is 1 more than the growth rate. Here, the growth rate is -19% (per year), so the growth factor, the multiplier, is ...

1 -0.19 = 0.81

__

b. The equation sets value equal to the original value multiplied by the growth factor to the power of the number of years:

value = (original value) × (growth factor)^n

v = 28000(0.81^n)

__

c. For n=11, this is ...

v = 28000(0.81^11) ≈ 2757.36

The value of the truck after 11 years is about $2757.

6 0

3 years ago

If you place a 24-foot ladder against the top of a 20-foot building, how many feet will the bottom of the ladder be from the bot

LenKa [72]

Answer:

13.3 ft

Step-by-step explanation:

24² - 20² = d²

d = √(576 - 400) = √176 = 13.26649... ≈ 13.3 ft.

6 0

3 years ago