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3 years ago

Define a set x of numbers as follows. b. 2 ∈ x. r1. if x ∈ x, so is 10x.

Mathematics

2 answers:

jeka57 [31]3 years ago

6 0

B is the correct anse]wer

Serga [27]3 years ago

3 0

Start with 2 and count by 4s until you get 30 then multiply each element by 10

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Timothy creates a game in which the player rolls 4 dice. What is the probability in this game of having exactly two dice or more

devlian [24]

Answer:

B. 0.132

Step-by-step explanation:

For each time the dice is thrown, there are only two possible outcomes. Either it lands on a five, or it does not. The probability of a throw landing on a five is independent of other throws. So we use 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.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Timothy creates a game in which the player rolls 4 dice.

This means that $n = 4$

The dice can land in 6 numbers, one of which is 5.

This means that $p = \frac{1}{6}$

What is the probability in this game of having exactly two dice or more land on a five?

$P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{4,2}.(\frac{1}{6})^{2}.(\frac{5}{6})^{2} = 0.116$

$P(X = 3) = C_{4,2}.(\frac{1}{6})^{3}.(\frac{5}{6})^{1} = 0.015$

$P(X = 4) = C_{4,4}.(\frac{1}{6})^{4}.(\frac{5}{6})^{0} = 0.001$

$P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.116 + 0.015 + 0.001 = 0.132$

So the correct answer is:

B. 0.132

8 0

3 years ago

Please HELP with Geometry Picture 15,17,19,20

Tema [17]

The triangles in question 15 are proportional, so they are similar. Meaning that their angles are the same, so <B=<E, or <B=30 degrees.
For #17, the formula for the area of a circle is a=pi*r^2. The radius, in this instance, is 1/2 of 27, or 13.5. Plug it into the formula: a=pi*13.5^2. a=pi*182.25. If you want to simplify it further, a=572.265.
#19, same formula as #17. a=pi*r^2. a=pi*6^2. a=pi*36. a=113.04 or 113m^2.
#20, Wow this is a complicated one. Anyway, the area of the square in the middle is obviously 9m. The area of all of the circles is a=pi*1.5^2 DIVIDED BY TWO, since they're half circles. a=pi*2.25/2, a=7.065/2. a=3.5325. Since there are 4 of them, multiply that number by 4... 14.13. Add 9 to that to get the area of the whole figure: 23.13m(^2). Hope this helps.

6 0

4 years ago

A florist has 45 tulips in his shop. 20% of the tulips are yellow. How many tulips are yellow?

EastWind [94]

Multiply 45 by 1/5, or 0.2, and you will get an answer of 9, which is the amount of tulips that were yellow. You will know that you need to multiply 45 by either 1/5 or 0.2 because you can make a fraction 20/100 and simplify it to 1/5, or you can move the decimal point in 20.% two times to the left getting the decimal to divide the amount of tulips by

6 0

3 years ago

Read 2 more answers

Find arc DC please help me

emmasim [6.3K]

Answer:

arc ABC = 196°

arc DC = 360 - 196 - 70 = 94° (which looks out of proportion, but so does angle D)

Step-by-step explanation:

arc ABC = 2(∠D) = 2(98°) = 196°

3 0

3 years ago

What is the estimate for each sum or difference of 2 1/8 -5/7

dsp73

2 1/8 estimate to 2
5/7 estimate to 1.

2-1=1

4 0

3 years ago