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11111nata11111 [884]
3 years ago
14

Need help on 20. Prove that a and b are parallel

Mathematics
1 answer:
Serjik [45]3 years ago
4 0

a and b are parallel because 114 = 66+48 = 114, these two angles are the same because they are alternate exterior angles, and they couldn't be the same if a and b are not parallel.

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Janice has just bought a new pack of levels in her favorite game, Candy Crush. She knows that she can win a new level on the fir
worty [1.4K]

Answer:

0.0039 = 0.39% probability that she beats all 4 levels on the first try.

Step-by-step explanation:

For each level, there are only two possible outcomes. Either she can win the new level on the first try, or she cannot. The probability of winning a level on the first try is independent of any other level. This means that the binomial probability distribution is used 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.

She knows that she can win a new level on the first try 25% of the time.

This means that p = 0.25

Janice plays through 4 levels.

This means that n = 4

What is the probability that she beats all 4 levels on the first try?

This is P(X = 4). So

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

P(X = 4) = C_{4,4}.(0.25)^{4}.(0.75)^{0} = 0.0039

0.0039 = 0.39% probability that she beats all 4 levels on the first try.

5 0
2 years ago
12. The point P lies on a line through the midpoint of AB and perpendicular to AB. If AP=15 in., what is the length PB? How do y
Mekhanik [1.2K]

Answer:

PB = 15

Step-by-step explanation:

A midpoint is a point in the center of a line. Since P is the midpoint of AB, the length of AP = PB. Therefore, if AP = 15, PB = 15.

8 0
3 years ago
What is the next term in the following sequence? 12,6,3,...
stira [4]

This sequence keeps dividing by 2. So, you would divide 3 by 2 and you would get 1.5.

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Where does the line y = 3x + 5 cross the y-axis?
crimeas [40]
C: at y=5

The formula is y=mx+b (b meaning the y-intercept) so that +5 is where your y-intercept is gonna be!
7 0
3 years ago
What is the equation of the line which has a gradient of 2 and passes through the point (1,4)
timofeeve [1]

Answer:

Y= 2x+2

Step-by-step explanation:

line equation is y=mx +c


m is the gradient = 2

We are given an x and y value

X= 1
y= 4


substitute that into the equation:

4= 2(1) +c

2=c


Put all the equation together:

Y= 2x+2

5 0
2 years ago
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