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Deffense [45]
3 years ago
14

The slope of a vertical line is The slope of a horizontal line is

Mathematics
1 answer:
kvasek [131]3 years ago
3 0
The slope of a horizontal line =0 not undefined the slope of a vertical line= undefined
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Suppose we roll a fair six-sided die 20 times and draw ten cards from a standard 52-card deck. Let X be the number of "6"s rolle
Lera25 [3.4K]

Answer:

a) Expected value = 6.406

Variance = 4.905

Standard deviation = 2.45

b) The probability is 0.08547

Step-by-step explanation:

a) Let's suppose that:

X₁ = number of 6´s

X₂ = number of Jack, Queen, King or Aces

The mean of X₁ is:

MeanX₁ = n * p = 20 * (1/6) = 3.33

The variance of X₁ is:

Var-X_{1} =np(1-p)=3.33(1-(1/6))=2.775

The mean of X₂ is:

MeanX₂ = 10 * (16/52) = 3.076

The variance of X₂ is:

Var-X_{2} =3.076(1-(16/52))=2.13

The expect value of X is:

Xexp = MeanX₁ + MeanX₂ = 3.33 + 3.076 = 6.406

The variance of X is:

VarX = VarX₁ + VarX₂ = 2.775 + 2.13 = 4.905

The standard deviation is:

Xdevi = 4.905/2 = 2.45

b) The probability of drawing at least five six out of 20 rolls is equal to:

∑(1/6)ˣ(5/6)²⁰⁻ˣ = 0.231 with x = 5

The probability of at least 4 Jack, Queen, Kings or Aces is:

∑(16/52)ˣ(1-(16/52))¹⁰⁻ˣ = 0.37 with x = 4

The probability of given event is equal to:

P = 0.231 * 0.37 = 0.08547

5 0
3 years ago
Please Help, I can't figure out this problem
Otrada [13]

Answer:

<h2>The answer is 5 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d  =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question

The points are (9,-7) and (5, -4)

The distance between them is

d =  \sqrt{ ({9 - 5})^{2} +  ({ - 7 + 4})^{2}  }  \\  =  \sqrt{ {4}^{2}  +  ({ - 3})^{2} }  \\  =  \sqrt{16 + 9}  \\  =  \sqrt{25}

We have the final answer as

<h3>5 units</h3>

Hope this helps you

3 0
3 years ago
Help help help help help
uranmaximum [27]

Answer:

This is what I got, the second one, the third one, and the fifth one.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Ahmed runs a baked potato stall at the market. He makes a profit of 40c on each potato he sells but he has to pay $50 each day f
Butoxors [25]
Amount of money make(profit) = $(0.40x-50)
3 0
3 years ago
in an isosceles triangle, the ratio of the measure of the vertex to the meaure of a base angle is 1:4. find the meaure of the ve
cluponka [151]
The vertex angle is equal to 20 degrees.
7 0
3 years ago
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