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3 years ago

10

What is the mean of the measures of the three exterior angles of a triangle if two of the interior angles have measures of 63 an

d 78 degrees?

1 answer:

Genrish500 [490]3 years ago

4 0

Answer:

Mean score=120

Step-by-step explanation:

Areas of a triangle add upto 180degrees (63+78+x=180) 141+x= (x=180-141) x=39
Areas on a straight line add upto 180degrees

180-78=102

180-63=117

180-39=141

102+117+141=360
Mean=360/3 =120

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The brand name of Mrs. Fields (cookies) has a 90% recognition rate. If Mrs. fields herself wants to verify that rate by beginnin

Schach [20]

Answer:

0.3874 = 38.74% probability that exactly 9 of the 10 consumers recognize her brand name.

0.6126 = 61.26% probability that the number who recognize her brand name is not nine.

Step-by-step explanation:

For each consumer, there are only two possible outcomes. Either they recognize the name, or they do not. The probability of a customer recognizing the name is independent of anu other customer. 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.

The brand name of Mrs. Fields (cookies) has a 90% recognition rate.

This means that $p = 0.9$ .

Sample of 10

This means that $n = 10$

Find the probability that exactly 9 of the 10 consumers recognize her brand name.

This is P(X = 9). So

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

$P(X = 9) = C_{10,9}.(0.9)^{9}.(0.1)^{1} = 0.3874$

0.3874 = 38.74% probability that exactly 9 of the 10 consumers recognize her brand name.

Also, find the probability that the number who recognize her brand name is not nine.

1(100%) subtracted by those who recognize. So

1 - 0.3874 = 0.6126

0.6126 = 61.26% probability that the number who recognize her brand name is not nine.

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The volume of a cube is 27000 cubic inches. What is the length of one side?

anyanavicka [17]

Given:

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So,

$\begin{gathered} 27000=a^3 \\ \sqrt[3]{27000}\text{ = a} \\ a\text{ = 30 in.} \end{gathered}$

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1 year ago

Determine the quotient: (22.8 × 10–3) ÷ (5.7 × 10–6)

lana66690 [7]

Answer:

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Step-by-step explanation:

The key to doing this problem properly lies in knowing and following order of operations rules.

Here we must perform mult. and div. before addition and subtr., but even before that we must do all work enclosed in parentheses first.

(22.8 × 10–3) is evaluated by doing the mult. first, and then subtracting 3:

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and

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Step-by-step explanation:

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