Step-by-step explanation: Since the given problem states that the two angles, angle 1 and angle 2 form a linear pair, this means that they form a 180° line, so that:

measure angle 1 + measure angle 2 = 180°

Since measure of angle 2 is six more than twice the measure of angle 1, therefore:

measure angle 2 = 2 (measure angle 1) + 6

hence, substituting this into the first equation:

measure angle 1 + 2 (measure angle 1) + 6 = 180

3 (measure angle 1) = 174

measure angle 1 = 58°

Therefore,

measure angle 2 = 2 (measure angle 1) + 6

measure angle 2 = 2 (58°) + 6

measure angle 2 = 122*

5 0

3 years ago

Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following p

ollegr [7]

Use the PMF for the given distribution:

$P(X=x) = \begin{cases}\dbinom{15}x 0.8^x (1-0.8)^{15-x} & \text{if } x \in\{0, 1, 2, \ldots, 15\} \\ 0 & \text{otherwise}\end{cases}$

Then the probability that X = 14 is

$P(X=14) = \dbinom{15}{14} 0.8^{14} 0.2^1 \approx \boxed{0.1319}$

6 0

2 years ago

If tn=18√t, what value of n makes this equation true?

ikadub [295]

Answer:

1/18

Step-by-step explanation:

3 0

3 years ago

Which absolute value function has a graph that is wider than the parent function, f(x) = |x|, and is translated to the right 2 u

Ipatiy [6.2K]

Move to right c units means minus c from every x
wider means horizontal strech, means multiply every x by r where |r|>1

so
the new function would be
f(x)=r|x-2| where |r|>1

5 0

3 years ago

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