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3 years ago

How many different ways can 4 paintings be arranged in a row?

1 answer:

8 0

For this question, the order of the paintings matter, so we can use generic permutation formula.

P = n!/(n-r)!

where:
n= number of paintings
r = number of paintings we are picking (in this case, we are selecting all paintings, as we are rearranging the paintings)

P = 4!/(4-4)!
P = 24/0! = 24 ways

4 paintings can be arranged in 24 different ways.

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Many credit card companies charge a compound interest rate of 1.8% per month on a credit card balance. Nelson owes $850 on a cre

Finger [1]

The sequence will be

$850, 850 \times (1.018)^1, 850 \times (1.018)^2, 850 \times (1.018)^3, 850 \times (1.018)^4, ...$

That's

$850, 865.30, 880.875, 896.731, 912.872, ...$

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2 years ago

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Solve : 3[3[3]-2] square 2 -3[6-4] square 2<br> please help me

Hoochie [10]

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2 years ago

1) Given P(A) = 0.3 and P(B) = 0.5, do the following.

Delicious77 [7]

Answer:

1) a) 0.8

b) 0.6

2) a) 0.08

b) 0.14

Step-by-step explanation:

1) Given

$P(A) = 0.3$ and $P(B) = 0.5$

Let us learn about a formula:

$P(A\ or\ B) = P(A) +P(B) -P(A\ and\ B)\\OR\\P(A\cup B) = P(A) +P(B) -P(A\cap B)$

(a) If A and B are mutually exclusive i.e. no common thing in the two events.

In other words:

$P(A\ and\ B)$ = $P(A \cap B)$ = 0

Using above formula:

$P(A\ or\ B) = P(A) +P(B) -P(A\ and\ B)\\\Rightarrow P(A\ or\ B) = 0.3 + 0.5 -0 = \bold{0.8}$

(b) P(A and B) = 0.2

Using above formula:

$P(A\ or\ B) = P(A) +P(B) -P(A\ and\ B)\\\Rightarrow P(A\ or\ B) = 0.3 + 0.5 -0.2 = \bold{0.6}$

*************************************

1) Given

$P(A) = 0.4$ and $P(B) = 0.2$

Let us learn about a formula:

$P(A\ and\ B) = P(B) \times P(A/B)$ for dependent events

$P(A\ and\ B) = P(A) \times P(B)$ for independent events.

(a) If A and B are independent events :

Using the above formula for independent events:

$P(A\ and\ B) = 0.4 \times 0.2 = \bold{0.08}$

(b) $P(A / B) = 0.7$

Using above formula:

$P(A\ and\ B) = P(B) \times P(A/B) = 0.2 \times 0.7 = \bold{0.14}$

6 0

2 years ago

F(x) = 2x^2 - 3x, calculate f(x+h)-f(x) / h

kvasek [131]

First plug in (x+h) for x in the function.
f(x+h)= 2(x-h)^2-3(x-h) = 2(x^2-2xh+h^2)-3x-3h =
2x^2-4xh+2h^2-3x-3h - 2x^2 +3x =
(-4xh +2h^2-3h)/h
-4x +2h-3

6 0

3 years ago

Evan used half of his paycheck for his car payment, then 125 for groceries. If he has 215 left, how much was his paycheck?

Stella [2.4K]

Answer:

680

Step-by-step explanation:

125 + 215 = 340

340+340 = 680

4 0

2 years ago

Read 2 more answers