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Maksim231197 [3]
3 years ago
8

I will mark brainilest if someone tells me what 69 x 420 is

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
4 0

Answer:

28,980

Step-by-step explanation:

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A statistics textbook chapter contains 60 exercises, 6 of which are essay questions. A student is assigned 10 problems. (a) What
Scilla [17]

Answer:

a) P=0.3174

b) P=0.4232

c) P=0.2594

d) The shape of the hypergeometric, in this case, is like a binomial with mean np=1.

Step-by-step explanation:

The appropiate distribution to model this is the hypergeometric distribution:

P(X=x)=\frac{\binom{s}{x}\binom{N-s}{M-x}}{\binom{N}{M}}=\frac{\binom{6}{x}\binom{54}{10-x}}{\binom{60}{10}}

a) What is the probability that none of the questions are essay?

P(X=0)=\frac{\binom{6}{0}\binom{54}{10-0}}{\binom{60}{10}}\\\\P(X=0)=\frac{1*(54!/(10!*44!)}{60!/(10!*50!)} =\frac{2.3931*10^{10}}{7.5394*10^{10}} = 0.3174

b)  What is the probability that at least one is essay?

P(X=1)=\frac{\binom{6}{1}\binom{54}{9}}{\binom{60}{10}}\\\\P(X=1)=\frac{6*(54!/(9!*43!)}{60!/(10!*50!)} =\frac{3.1908*10^{10}}{7.5394*10^{10}} =0.4232

c) What is the probability that two or more are essay?

P(X\geq2)=1-(P(0)+P(1))=1-(0.3174+0.4232)=1-0.7406=0.2594

8 0
3 years ago
Graph the solution of the inequality on a number line. x − (5 − 3x) ≤ 2x − 1
egoroff_w [7]

Answer:

  • x ≤  2

Step-by-step explanation:

  • x − (5 − 3x) ≤ 2x − 1
  • x - 5 + 3x  ≤  2x - 1
  • 4x - 5 ≤  2x - 1
  • 4x - 2x ≤  5 - 1
  • 2x ≤  4
  • x ≤  2 or x ∈ (- oo, 2]

The graph includes all point to the left from point 2, same point included

4 0
3 years ago
Read 2 more answers
A boardwalk that is x feet wide is built around a rectangular pond. The combined area of the pond and the boardwalk is 4x^2+140x
Archy [21]
So when X is 0, the area of the pool is 1200. That makes A and C impossible... then you can plug in numbers...say the boardwalk is 1 ft wide, add 2 to each dimension and plug in 1 for X. (You're adding 2 because there is a tile on either side of each dimension, including corners).

32x42=1344=4+140+1200

Therefore the answer is B.
8 0
3 years ago
Rearrange the formula V = 2πr/T for r.
Zielflug [23.3K]
V =\dfrac{2\pi r}{T}\quad|\cdot T\\\\\\TV=2\pi r\quad|:2\pi\\\\\\\boxed{\dfrac{TV}{2\pi}=r}

Answer D.
3 0
4 years ago
Read 2 more answers
Which expression is equivalent to *picture attached*
Sedbober [7]

Answer:

\sum_{n=3}^{20}(n(n+1))=\sum _{n=3}^{20} n^2+ \sum _{n=3}^{20} n

Step-by-step explanation:

Given expression : \sum_{n=3}^{20}(n(n+1))

Solving further :

\Rightarrow \sum_{n=3}^{20}(n^2+n)

\Rightarrow \sum _{n=3}^{20} n^2+ \sum _{n=3}^{20} n

So, \sum_{n=3}^{20}(n(n+1))=\sum _{n=3}^{20} n^2+ \sum _{n=3}^{20} n

So, The given expression is equivalent to Option A

So, Option A is the answer

7 0
4 years ago
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