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Gwar [14]
4 years ago
15

Please help me with this question, image attached.

Mathematics
2 answers:
zaharov [31]4 years ago
7 0

Answer:

<3 = 110

Step-by-step explanation:

The angles are consecutive interior angles.  They add up to 180 degrees when the lines are parallel.

<3 + <8 = 180

<3 + 70 =180

Subtract 70 from each side

<3 +70-70=180-70

<3 = 110

Lorico [155]4 years ago
5 0

Answer:

110 degrees.

Step-by-step explanation:

Angles 2 and 3 are supplementary, and angles 8 and 7 are supplementary.

Angles 3 and 7 are equal.

If angle 8 is equal to 70 degrees, angle 3 is equal to 110.

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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
If p=2(a+b), then b=
Vaselesa [24]
Answer: B = -a + p/2
3 0
3 years ago
For the data set 7 ,5,10,11,12
rosijanka [135]

Answer:

Standard deviation =2.6

Step-by-step explanation:

Using the formula given

S = √((1/n-1)∑(x-x⁻)²)

n = 5

∑(x-x⁻)² = 34

Therefore;

s = √(1/5(34)

  = √6.8

<u>  = 2.6 </u>

The standard deviation will be 2.6

7 0
3 years ago
Read 2 more answers
Manny spent $36 on 30 bottles of soda. how much would he spend on 12 bottles
viva [34]

Answer:

He would spend $14.40 on 12 bottles.

7 0
2 years ago
The line represented by the equation 3x + 5y = 2 has a slope of negative StartFraction 3 Over 5 EndFraction.. Which shows the gr
bekas [8.4K]

Answer:2/5

Step-by-step explanation:

5 0
3 years ago
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