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2 years ago

6

ANSWER QUICK! BRAINLIEST IF RIGHT!

2 answers:

erik [133]2 years ago

8 0

Let another angle be x

According to angle sum property

$\\ \rm\Rrightarrow x+35+78=180$

$\\ \rm\Rrightarrow x+113=180$

$\\ \rm\Rrightarrow x=180-113$

$\\ \rm\Rrightarrow x=67°$

Solnce55 [7]2 years ago

4 0

67°, every triangle equals 180° so add together 35+78 which equals 113. subtract 180-113 and get 67!

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2 years ago

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According to a 2018 survey by Bankrate, 20% of adults in the United States save nothing for retirement (CNBC website). Suppose t

nalin [4]

Answer:

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they save nothing for retirement, or they save something. The probability of an adult saving nothing for retirement is independent of any other adult. 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.

20% of adults in the United States save nothing for retirement (CNBC website).

This means that $p = 0.2$

Suppose that sixteen adults in the United States are selected randomly.

This means that $n = 16$

What is the probability that three or less of the selected adults have saved nothing for retirement?

This is:

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

In which

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

$P(X = 0) = C_{16,0}.(0.2)^{0}.(0.8)^{16} = 0.0281$

$P(X = 1) = C_{16,1}.(0.2)^{1}.(0.8)^{15} = 0.1126$

$P(X = 2) = C_{16,2}.(0.2)^{2}.(0.8)^{14} = 0.2111$

$P(X = 3) = C_{16,3}.(0.2)^{3}.(0.8)^{13} = 0.2463$

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0281 + 0.1126 + 0.2111 + 0.2463 = 0.5981$

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

4 0

2 years ago

1. Segment AB has the coordinates given.

denpristay [2]

The first image has a coordinate of A'(1, 6) B'(-3, 7)

<h3>How to calculate the coordinates of an image after a translation?</h3>

Translation can be defined as movement in a straight line.

Given the rule: (x,y) → (x + 3, y - 1) and A(-2,7) B(-6,8)

That means: A(x = -2, y =7) B(x = -6, y = 8)

Thus the translation will be:

A'(-2 +3, 7-1) B'(-6+3, 8-1) = A'(1, 6) B'(-3, 7)

Therefore, the coordinate of the image is A'(1, 6) B'(-3, 7)

Learn more about translation on:

brainly.com/question/10451235

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1 year ago

If a circle has a circumference of 81.64 cm, what is the radius?

ipn [44]

Answer:13cm

Step-by-step explanation:

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2 years ago

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Surface area for a rectangular prism 43in 19in 35in

Ugo [173]

A = 2lw + 2lh + 2wh
A = 2(43)(19) + 2(43)(35) + 2(19)(35)
A = 2(817) + 2(1505) + 2(665)
A = 1634 + 3010 + 1330
A = 5974in²

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3 years ago