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3 years ago

Income is ______

Mathematics

2 answers:

disa [49]3 years ago

7 0

I think the answer would be c

andre [41]3 years ago

3 0

Answer:

C.) Wages/ salaries, interest, and profits

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Given: m∠9 = 50° and m∠5 = 42°. Find the m∠14. Just type the number of the answer in the answer box.

sergejj [24]

Answer:

Step-by-step explanation:

∡5 = 42°

find: ∡ 14

solution:

since ∡5 = ∡13 = 42°

∡14 = 180 - ∡13

= 180 - 42

= 138°

3 0

3 years ago

Find the equation of the line in slope-intercept form. m=− 4 7 through (14, 3

kakasveta [241]

Answer:

The answer to your question is: y = -47x + 661

Step-by-step explanation:

Data

m = - 47 I wasn't sure if the slope was -47 or -4.

Point (14, 3)

Formula

(y - y1) = m(x - x1)

Process

(y - 3) = -47(x - 14)

y - 3 = -47x + 658

y = -47x + 658 + 3

y = -47x + 661

5 0

3 years ago

The diagram shows a right angled triangle and a parallelogram. The area of the parallelogram is 5 times the area of the triangle

larisa [96]

Answer:

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4 0

3 years ago

6. Consider the polynomial p(x) = x^2 + kr^2 +x+6. Find a value of k so that x+1 is a factor of P. Find all the zeros of P.

Nikitich [7]

If x + 1 is a factor of p(x) = x³ + k x² + x + 6, then by the remainder theorem, we have

p (-1) = (-1)³ + k (-1)² + (-1) + 6 = 0 → k = -4

So we have

p(x) = x³ - 4x² + x + 6

Dividing p(x) by x + 1 (using whatever method you prefer) gives

p(x) / (x + 1) = x² - 5x + 6

Synthetic division, for instance, might go like this:

-1 | 1 -4 1 6

... | -1 5 -6

----------------------------

... | 1 -5 6 0

Next, we have

x² - 5x + 6 = (x - 3) (x - 2)

so that, in addition to x = -1, the other two zeros of p(x) are x = 3 and x = 2

6 0

2 years ago

A box of Georgia peaches has 3 bad and 12 good peaches. (a) If you make a peach cobbler of 12 peaches randomly selected from the

Eddi Din [679]

Answer:

a) 0.21% probability that there are no bad peaches in the peach cobbler.

b) 99.79% probability of having at least 1 bad peach in the peach cobbler

c) 7.91% probability of having exactly 2 bad peaches in the peach cobbler.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the peaches are chosen is not important. So the combinations formula is used to solve this question.

Combinations formula:

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

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

(a) If you make a peach cobbler of 12 peaches randomly selected from the box, what is the probability that there are no bad peaches in the peach cobbler?

Desired outcomes:

12 good peaches, from a set of 12. So

$D = C_{12,12} = \frac{12!}{12!(12 - 12)!} = 1$

Total outcomes:

12 peaches, from a set of 15. So

$T = C_{15,12} = \frac{15!}{12!(15 - 12)!} = 455$

Probability:

$p = \frac{D}{T} = \frac{1}{455} = 0.0021$

0.21% probability that there are no bad peaches in the peach cobbler.

(b) What is the probability of having at least 1 bad peach in the peach cobbler?

Either there are no bad peaches, or these is at least 1. The sum of the probabilities of these events is 100%. So

p + 0.21 = 100

p = 99.79

99.79% probability of having at least 1 bad peach in the peach cobbler

(c) What is the probability of having exactly 2 bad peaches in the peach cob- bler?

Desired outcomes:

2 bad peaches, from a set of 3.

One good peach, from a set of 12.

$D = C_{3,2}*C_{12,1} = \frac{3!}{2!(3-2)!}*\frac{12!}{1!(12 - 1)!} = 36$

Total outcomes:

12 peaches, from a set of 15. So

$T = C_{15,12} = \frac{15!}{12!(15 - 12)!} = 455$

Probability:

$p = \frac{D}{T} = \frac{36}{455} = 0.0791$

7.91% probability of having exactly 2 bad peaches in the peach cobbler.

3 0

3 years ago