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Answer:

The mean of X is 2 and the standard deviation is 1.3.

Step-by-step explanation:

For each dice rolled, there are only two possible outcomes. Either it lands on one, or it does not. The probability of a dice rolled landing on one is independent of any other dice. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Probability of rolling a 1.

Six sides, so:

[tex]p = \frac{1}{6} = 0.1667[/tex]

12 dices are rolled:

This means that [tex]n = 12[/tex]

Find the mean and standard deviation of X

[tex]E(X) = np = 12*0.1667 = 2[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{12*0.1667*0.8333} = 1.3[/tex]

The mean of X is 2 and the standard deviation is 1.3.

Answer:

5 is a prime number

Step-by-step explanation:

Answer: g(x)= -1/2x^2

Step-by-step explanation: since the parabola is opening downwards it would have to be a negative so all we are left with is g(x)=-2x^2 and g(x)-1/2x^2 and if we go in the calculator and type up each equations you would see our answers is g(x)=-1/2x^2

Answer:

60 : 12

90 : 18

120 : 24

150 : 30

Answer:

B D F

Step-by-step explanation:

I dont really know how to explain it, and I need to reach 20 characters for an answer so pretend this is a good explanation

Answer:

The answer is

GCF=8

56-48=8*(7-6)

Answer:

3

Step-by-step explanation:

Pick two points on the line

(0,0) and (10,30)

Using the slope formula

m = (y2-y1)/(x2-x1)

    = (30-0)/(10-0)

    = 30/10

    = 3

Answer: 210

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

You can say this because 3*3 is 9.

Answer:

the answer is an obtuse triangle

The triangle in the image is an obtuse triangle.

In any triangle, the sum of the three angles is always 180 degrees.

Here, the sum of the two angles is 30 + 30 = 60 degrees.

Now, Adding the 120 degrees angle

= 60 + 120

= 180 degrees, which is consistent with the sum of angles in a triangle.

Now, let's consider the types of triangles:

1. Acute triangle: All three angles in an acute triangle are less than 90 degrees.

2. Right triangle: A right triangle has one angle that measures exactly 90 degrees.

3. Equilateral triangle: An equilateral triangle has all three angles equal to 60 degrees.

4. Obtuse triangle: An obtuse triangle has one angle that is greater than 90 degrees.

Thus, the triangle in the image is an obtuse triangle.

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Answer:

8-2[tex]x^{2}[/tex]

Step-by-step explanation:

Answer:

[tex]8 - |7 - 9| {x}^{3} \\ 8 - | - 2| {x}^{3} \\ 8 - 2 {x}^{3} \\ thank \: you[/tex]

Answer:

24%

Step-by-step explanation:

x-(11/100)x

89/100x

followed by

89/100x-13/100x

76/100x

so the total decrease is calculated as

x-76/100x

(24/100)x

i.e 24% decrease

Answer:

y = 3x + 4

Step-by-step explanation:

Remember, you find slope values by finding two points on lines within the slope.

Slope= y2-y1/ x2-x1.

(x,y)

I found (0,4), 1, and (2,2), 2.

The answer is -8/2, simplified, -4/1.

Hope this helped.

Answer:

D) 50, 60, 70

Step-by-step explanation:

The reason why it's D since a regular triangle equals up to 180 degrees in total and D is the only one that equals 180.

50+60+70= 180 degrees

Hope this helps

Answer:

" Its graph is v-shaped and opens up.

If the graph is turned upside down (so that it opens down), then g(x) = -|x|."

Step-by-step explanation:

Hope this helped :)

Step-by-step explanation:

This is an absolute value function with negative coefficient.

we have

g(x) = - Ixl

Answer:

slope=9

Step-by-step explanation:

whole equation=y = 9x – 31

hope that helps

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Answer:

D

Step-by-step explanation:

Answer:

x=2

hope this helped :)

Answer:

$10.26

Step-by-step explanation:

....................

Answer:

712.5

Step-by-step explanation:

Answer: 2

Step-by-step explanation: so just plug in the numbers first 3(4)-2(-1)-9+3(-1)

then easy just solve remember two negatives equal a positive so 3 times the 4 is 12 and then -2 and -1 is just a positive 2 then minus the 9 and then add -3 because a positive and a negative is a negative and written out that all is 12+2-9+(-3) then it's 14-9 which is 5 then 5+ (-3) is positive 2 so boom lol I hope this helps! let me know if you need any more help! :')

Answer:

2

Step-by-step explanation:

║x = 4

║y = −1

3x − 2y − 9 + 3y

↓

3x + y − 9

↓

[(4 ⋅ 3) − 1] − 9

↓

(12 − 1) − 9

↓

11 − 9

↓

2

Next time, begging won't work. You'll need to provide a human sacrifice.

Answer:

X = 13

X = 13

X = 13

X = 98

X = 8

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Answer:

All parallelograms are quadrilaterals

Step-by-step explanation:

All parallelograms are quadrilaterals is true statement.

a quadrilateral is a four-sided polygon, having four edges and four corners

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

All parallelograms are rectangles is not true because all rectangles are parallelograms, but all parallelograms are not rectangles.

All parallelograms are quadrilaterals is true.

All parallelograms are not rhombuses. Parallelograms with non equal adjacent sides are not rhombuses.

All parallelograms are not squares.

Hence, All parallelograms are quadrilaterals is true statement.

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Answer:

Vertical Angles

Step-by-step explanation:

Any opposite angles caused by two intersecting lines are vertical angles.

Any two adjacent angles caused by vertical lines or two angles that equal 180° are supplementary angles.

Two angles that make 90° in all are complementary angles.

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