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3 years ago

the measure of an angle is fifty nine times the measure of its supplementary angle. What is the measure of each angle

Mathematics

1 answer:

Dimas [21]3 years ago

7 0

9514 1404 393

Answer:

177°, 3°

Step-by-step explanation:

If the smaller angle is s, then the sum of the two angles is ...

s + 59s = 180°

s = 180°/60 = 3° . . . . . divide by the coefficient of s

59s = 177° . . . . . . . . . find the larger angle

The two angles are 177° and 3°.

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If f(x)=3[x-2],what is f(5.9)? 9 10 11 12

inna [77]

f(x)=3[x-2]
So, f(5.9) = ?
f(5.9) = 3(5.9 - 2)
=3(3.9)
=11.7 = 12
Thus, the answer is 12.

8 0

3 years ago

Read 2 more answers

What number does x stand for in this equation? -7X + 6= 27

Levart [38]

Answer:

x = -3

Step-by-step explanation:

-7X + 6= 27

Subtract 6 from each side

-7x +6-6 = 27 -6

-7x = 21

divide each side by -7

-7x/-7 = 21/-7

x = -3

5 0

3 years ago

Jane must get at least three of the four problems on the exam correct to get an A. She has been able to do 80% of the problems o

NISA [10]

Answer:

a) There is n 81.92% probability that she gets an A.

b) If she gets the first problem correct, there is an 89.6% probability that she gets an A.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the answer is correct, or it is not. This means that we can solve this problem using binomial distribution probability concepts.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

For this problem, we have that:

The probability she gets any problem correct is 0.8, so $\pi = 0.8$ .

(a) What is the probability she gets an A?

There are four problems, so $n = 4$

Jane must get at least three of the four problems on the exam correct to get an A.

So, we need to find $P(X \geq 3)$

$P(X \geq 3) = P(X = 3) + P(X = 4)$

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

$P(X = 3) = C_{4,3}.(0.80)^{3}.(0.2)^{1} = 0.4096$

$P(X = 4) = C_{4,4}.(0.80)^{4}.(0.2)^{0} = 0.4096$

$P(X \geq 3) = P(X = 3) + P(X = 4) = 2*0.4096 = 0.8192$

There is n 81.92% probability that she gets an A.

(b) If she gets the first problem correct, what is the probability she gets an A?

Now, there are only 3 problems left, so $n = 3$

To get an A, she must get at least 2 of them right, since one(the first one) she has already got it correct.

So, we need to find $P(X \geq 2)$

$P(X \geq 3) = P(X = 2) + P(X = 3)$

$P(X = 2) = C_{3,2}.(0.80)^{2}.(0.2)^{1} = 0.384$

$P(X = 4) = C_{3,3}.(0.80)^{3}.(0.2)^{0} = 0.512$

$P(X \geq 3) = P(X = 2) + P(X = 3) = 0.384 + 0.512 = 0.896$

If she gets the first problem correct, there is an 89.6% probability that she gets an A.

3 0

3 years ago

What is the slope of the line represented by the equation 4x+8y=4

Yuki888 [10]

Rearrange the formula so that its in the form of y=mx+b
so it would be:
8y= -4x + 4
then divide by 8:
y= -4/8 x + 4/8:
Simplify:

y= -1/2x + 1/2

the slope is -1/2

8 0

3 years ago

Read 2 more answers

What is 0.000000008 in scientific notation

Zanzabum

Answer: 8 x (10 to the power of -7)

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

6 0

3 years ago