If you used a random number generator for the numbers from 1 through 15 to play a game, what is the theoretical probability of getting an odd number or a multiple of 6?

Answer:

a) 50%

b) 5%

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with mean distance 60 meters and standard deviation 4 meters.

This means that [tex]\mu = 60, \sigma = 4[/tex]

(a) (2 points) What is the probability that on her first throw, J.v. Lin beats her mean distance?

This is, as a proportion, 1 subtracted by the pvalue of Z when X = 60. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{60 - 60}{4}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a pvalue of 0.5

1 - 0.5 = 0.5

0.5*100% = 50%

50% probability.

(b) (3 points) The current leader in the Olympics finals has thrown a distance of 66.5 meters. J.V. Lin has one attempt left to beat the leader's throw. What's the probability that Lin beats this throw?

This is 1 subtracted by the pvalue of Z when X = 66.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{66.5 - 60}{4}[/tex]

[tex]Z = 1.63[/tex]

[tex]Z = 1.63[/tex] has a pvalue of 0.95

1 - 0.95 = 0.05

0.05*100% = 5%

5% probability.

Answer:

B

Step-by-step explanation:

7100-3100

not sure though

Answer:

8n < 72

Step-by-step explanation:

Eight times a number (n) is less than 72.

Answer:

Option 1

Step-by-step explanation:

Answer:

A) x > -5

Step-by-step explanation:

Answer:

can you zoom in on it

Step-by-step explanation:

Answer:

9/15 will become 3/5 and 6/15 will become 2/5.

Answer:

interesting

Step-by-step explanation:

very interesting

Answer:

A = 81

Step-by-step explanation:

When there is a number above the other. You will need to multiply it.

There is   a 4 so its 4 times.

-3 x -3 = 9

9 x -3 = -27

-27 x -3 = 81

------

When you multiply a negative number by a negative number it will be a positive.

If you multiply a positive number by a negative it will be negative.

Answer:

g(x) is correct because if you look at the top of each parabola graph, you'll see how the vertex (the point in the middle top of the parabola) is higher than the other vertex of the function f(x). The y-coordinate of the vertex is the max/mini value, the x- coordinate of the vertex is the line of symmetry.

I applied this to my own problem and got it correct! You can use d e s m o s to see how the graph looks, and compare them. Good Luck!

Answer:

Step-by-step explanation:

A = (7 + 4)(24) ÷ 2 = 132 units²

Answer:

the first one

Step-by-step explanation:

y-y1=m(x-x1)

y-20=12(x-3)

[tex]y-20+20=12\left(x-3\right)+20[/tex]

simplify:

[tex]y=12x-16[/tex]

Answer:

e

Step-by-step explanation:

e

Answer:

6

Step-by-step explanation:

Answer:

[tex]P(X = x) = C_{8,x}.(0.4)^{x}.(0.6)^{8-x}[/tex]

In which x is the number of which we want to find the probability.

Step-by-step explanation:

For each traffic fatality, there are only two possible outcomes. EIther it involved an intoxicated or alcohol-impaired driver or nonoccupant, or it didn't. Traffic fatalities are independent of other traffic fatalities, which means that 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.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

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

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The probability is .40 that a traffic fatality involves an intoxication or alcohol-impaired driver or nonoccupant.

This means that [tex]p = 0.4[/tex]

Eight traffic fatalities

This means that [tex]n = 8[/tex]

Find the probability that the number which involve an intoxicated or alcohol-impaired driver or nonoccupant is

This is P(X = x), in which x is the number of which we want to find the probability. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = x) = C_{8,x}.(0.4)^{x}.(0.6)^{8-x}[/tex]

Based on the binomial probability principle, the probability involving the number of non-occupant is [tex] P(x = k) = 8Ck \times 0.40^{k} \times 0.60^{8-k} [/tex]

Let :

Using the binomial probability relation :

Substituting the values into the relation :

[tex] P(x = k) = nCk \times 0.40^{k} \times 0.60^{n-k} [/tex]

Hence, the required probability expression is [tex] P(x = k) = 8Ck \times 0.40^{k} \times 0.60^{8-k} [/tex]

Learn more :https://brainly.com/question/23287510

Answer:

88°

Step-by-step explanation:

Because, vertically opposite angles are equal

Answer

A triangle can be constructed if we are given 2 sides and an angle. For these ... AB=4 cm, Angle A =30˚, AC=5 cm. 2.) BC=3 cm, Angle B=80˚, BA=6 cm ... Angle A=20˚, AC=6.5 cm, Angle C=90˚ ... Angle A=25˚, Angle B=120˚, Angle C=35˚.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the speed of Baba Yaga is x

The distance to Bald Mountain:

The distance she actually travelled is less by 40 km:

The time she spent:

Solve for x to find the speed:

Solving the quadratic equation we get:

Answer:

5 less than y isn’t up there but if you mean 5 minus y it’s the second one, and y minus 5 is the first

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

The area of one of the four triangles is [tex]\frac{1}{2}\times 5 \times 7 = 17.5[/tex]. So together the area of all the four traingles is [tex]4\times 17.5 = 70[/tex]

Answer:

Answer is Complementary.

Step-by-step explanation:

This is because complementary angles add up to 90 degrees. In this example, the angles are exactly 45 degrees. Therefore, because there are two angles 45 * 2 is 90. Answer is B.

Answer:

D. vertical

Step-by-step explanation:

We can rule out A and B because they wont equal 180 or 90 they will be somewhere in between. We can rule out C because those are acute angles. So we are left with D. These angles are vertical because they are opposite angles made by two intersecting lines and they have equal values.

Answer:

A

Step-by-step explanation:

That's your answer...

dang u fail gonna fail i feel baaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaad.......

just look at the one that has the letter x going up it is c or d

Answer:

21+10.5 which would equal 31.5

Step-by-step explanation:

Answer:

21+10.5 which would equal 31.5

Step-by-step explanation:

Answer:

n divided by 6 (n/6)

Step-by-step explanation:

The mathematical expression for 'the quotient of 6 and a number (n)' is, 6/n or (6 ÷ n).

Used the concept of mathematical expression which can be stated that,

A mathematical expression is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.

Given that,

The algebraic expression is,

''The quotient of 6 and a number (n).''

Now, the mathematical expression for 'the quotient of 6 and a

number (n)' is,

6 ÷ n

= 6 / n

So, the mathmatical notation is 6/n.

To learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ6

Answer: 6%

Step-by-step explanation: Step 1: We make the assumption that 2000 is 100% since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3: From step 1, it follows that 100%=2000$.

Step 4: In the same vein, x%=120.

Step 5: This gives us a pair of simple equations:

100%=2000(1).

x%=120(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

[tex]\frac{100\%}{x\%}=\frac{2000}{120}[/tex]

Step 7: Taking the inverse (or reciprocal) of both sides yields

[tex]\frac{x\%}{100\%}=\frac{120}{2000}[/tex]

[tex]\Rightarrow x=6\%[/tex]

Therefore, 120 is 6% of 2000$.

Answer:

32/24 is equivalent to 12/19

yes

Answer:

-4

Step-by-step explanation:

Answer:

A. help him/her

funny story, i once got into trouble for defending my friend from being bullied and the person doing the bullying didn't get punished smh

Answer:

a

Step-by-step explanation:

duhh

Answer: D

Step-by-step explanation: on The graph it shows the height of the ball after 3 bounces is 4 feet

Answer:

I GOT IT WRONG SORRY IMMA TRY AGAIN, what's the directions?