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3 years ago

Please help! Find the rate of change! 1. -3 2. -1/3 3. 3 4. 1/3

Mathematics

2 answers:

Crank3 years ago

7 0

Answer:

2!! aka -1/3

Step-by-step explanation:

so you are looking for the slope!! slope equations are always rise over run!! in this you have a negative line because it is going down. you had to rise one to get to the other point and move three points! this would get you -1/3!

faust18 [17]3 years ago

6 0

Answer:

4. 1/3

Step-by-step explanation:

You can use RISE/RUN from the bottom point! You end up with 1/3!

I hope this helps!

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Marcia can make 5 candles in an hour. Kevin can make only 4 candles in an hour, but he already has 7 completed candles. Explain

RUDIKE [14]

M(h)=5h
that is marcia's number of candles where she makes 5 candles per hour (h)

kevin makes 4 but already did 7 so
k(h)=4h+7

when will they have same numbre of candles?
when will m(h)=k(h)
set equal

5h=4h+7
minus 4h from both sides
1h=7

answer is 7 hours

system of equation is
m=5h
k=4h+7
find what value of h makes m=k true

answer is 7 hours

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4 years ago

Some paint is made by mixing 3 cans of white paint to 7 cans of green paint. How many cans of white would you mix with 21 cans o

Oksana_A [137]

Well to get to the point
21 / 7= 3
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3 years ago

Fixed expenses should

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D. Not total more than your net income

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3 years ago

Which number line represents the solution to -3x ≤ 6?

ivolga24 [154]

Answer:

Given inequality:

$-3x\leq6$

To represent the given inequality in number line.

We will solve the inequality to represent it in the number line.

$-3x\leq6$

Dividing both sides by $-3$

$\frac{-3x}{-3}\geq\frac{6}{-3}$ [Since we are dividing by a negative number, so the sign of inequality reverses]

$x\geq -2$

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4 years ago

Roulette is a very popular game in many American casinos. In roulette, a ball spins on a circular wheel that is divided into 38

ludmilkaskok [199]

Answer:

a. P(AUB) = 0.74

b. P(A∩C) = 0.24

c. P(BUC) = 0.71

d. P(Bc) = 0.55

e. P(A∩B∩C) = 0.11

Step-by-step explanation:

n(U) = Total number of elements in the set = number of elements in the universal set = 38

A: (Outcome is an odd number (00 and 0 are considered neither odd nor even)]

An odd number referred to any integer, that is not a fraction, which is not possible to be divided exactly by 2. Therefore, we have:

A: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35

B: 2, 4, 6, 8, 10, 11, 13, 15, 17, 20, 22, 24, 26, 28, 29, 31, 33, 35

C: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18

a. Calculate the probability of AUB

AUB picks not more than one each of the elements in both A and B without repetition. Therefore, we have:

AUB = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 15, 17, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 31, 33, 35

n(AUB) = number of elements in AUB = 28

P(AUB) = probability of AUB = n(AUB) / n(U) = 28 / 38 = 0.736842105263158 = 0.74

b. Calculate the probability of A ∩ C

A∩C picks only the elements that are common to both A and C. Therefore, we have:

A∩C: 1, 3, 5, 7, 9, 11, 13, 15, 17

n(A∩C) = number of elements in A∩C = 9

P(A∩C) = probability of A∩C = n(A∩C) / n(U) = 9 / 38 = 0.236842105263158 = 0.24

c. Calculate the probability of BUC

BUC picks not more than one each of the elements in both B and C without repetition. Therefore, we have:

BUC: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 22, 24, 26, 28, 29, 31, 33, 35

n(BUC) = number of elements in BUC = 27

P(BUC) = probability of A∩C = n(BUC) / n(U) = 27 / 38 = 0.710526315789474 = 0.71

d. Calculate the probability of Bc

Bc indicates B component it represents all the elements in the universal set excluding the elements in B. Therefore, we have:

Bc: 00, 0, 1, 3, 5, 7, 9, 12, 14, 16, 18, 19, 21, 23, 25, 27, 30, 32, 34, 36

n(Bc) = number of elements in Bc = 20

P(Bc) = probability of Bc = n(Bc) / n(U) = 20 / 38 = 0.526315789473684 = 0.55

e. Calculate the probability of A∩B∩C

A∩B∩C picks only the elements that are common to A, B and C. Therefore, we have:

A∩B∩C: 11, 13, 15, 17

n(Bc) = number of elements in A∩B∩C = 4

P(A∩B∩C) = probability of A∩B∩C = n(A∩B∩C) / n(U) = 4 / 38 = 0.105263157894737 = 0.11

Note: All the answers are rounded to 2 decimal places.

7 0

3 years ago