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zhenek [66]
3 years ago
15

What is the probability that we will have exactly 4 non-negative observations out of 10 randomly-generated observations from N(0

, 1)
Mathematics
1 answer:
Nookie1986 [14]3 years ago
8 0

Answer:

0.21

Step-by-step explanation:

Given a distribution :

N(0, 1) - - - > Normal distribution

Probability of obtaining a non - negative observation :

P(x ≥ 0) = 0.5 ( Z probability calculator)

Hence, p = 0.5 ; (1 - p) = 1 - 0.5 = 0.5

P(x = 4) :

Using the binomial probability function :

P(x = x) = nCx * p^x * (1 - p)^(n-x)

P(x = 4) = 10C4 * 0.5^4 * 0.5^10 - 4

P(x = 4) = 210 * 0.0625 * 0.015625

P(x = 4) = 0.205078125

P(x = 4) = 0.21

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Olin [163]

Answer:

<u><em>Variable terms:</em></u>

x and y

<u><em>Constant terms:</em></u>

7 and -9

<u><em>Coefficient terms:</em></u>

-5.6 and 24

6 0
3 years ago
A 16-ounce of shampoo cost $4.69. What is the price per ounce, rounded to the nearest cent
elixir [45]

Answer:

A, 0.29

Step-by-step explanation:

Since 16 ounces cost 4.69, 1 ounce costs 4.69 divided by 16. This is roughly 0.29, which would then be A.

6 0
3 years ago
Suppose a and b are the solutions to the quadratic equation 2x^2-3x-6=0. Find the value of (a+2)(b+2).
KonstantinChe [14]

Answer:

(a+2)(b+2) = 4

Step-by-step explanation:

We are given the following quadratic equation:

2x^2-3x-6=0

Let a a and b be the solution of the given quadratic equation.

Solving the equation:

2x^2-3x-6=0\\\text{Using the quadratic formula}\\\\x = \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\text{Comparing the equation to }ax^2 + bx + c = 0\\\text{We have}\\a = 2\\b = -3\\c = -6\\x = \dfrac{3\pm \sqrt{9-4(2)(-6)}}{4} = \dfrac{3\pm \sqrt{57}}{4}\\\\a = \dfrac{3+\sqrt{57}}{4}, b = \dfrac{3-\sqrt{57}}{4}

We have to find the value of (a+2)(b+2).

Putting the values:

(a+2)(b+2)\\\\=\bigg(\dfrac{3+\sqrt{57}}{4}+2\bigg)\bigg(\dfrac{3-\sqrt{57}}{4}+2\bigg)\\\\=\bigg(\dfrac{11+\sqrt{57}}{4}\bigg)\bigg(\dfrac{11-\sqrt{57}}{4}\bigg)\\\\=\dfrac{121-57}{156} = \dfrac{64}{16} = 4

3 0
3 years ago
Please answer the question correctly with factual information for brainliest.
Phantasy [73]

Answer:

8.9

Step-by-step explanation:

1)\ S = 80 => l = \sqrt{80}

2)\ l = \sqrt{80} = 8.9

4 0
3 years ago
Is (5,1) a solution to the equation 2x-y=11? Explain
grigory [225]
This is simple. Coordinate form is (x,y) so you would just plug in your values. 

2(5)-(1)=11

10-1 does not equal 11, so no it is not a solution.
7 0
4 years ago
Read 2 more answers
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