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Ann [662]
3 years ago
14

Which rules of exponents will be used to evaluate this expression? Check all that apply. [(-8)^4]-5 (-8)6

Mathematics
2 answers:
IRISSAK [1]3 years ago
8 0
Definitely product of powers
Andrej [43]3 years ago
6 0

Answer:

Its Quotient Powers, Power of Power, and Negative Exponent

Step-by-step explanation:

I was helping my friend on her math quiz and she got it right!^^

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Which of the following rectangular prisms has a base area of 40 cm2 and a volume of 160 cm3?
Anon25 [30]
The base is 4 x 10. which means that you can divide 160 by 40 to get the hieght. (The height is 4)
4 0
3 years ago
Given:
bekas [8.4K]

Answer:

x = -4/9

Step-by-step explanation:

X + B = C

x + (-8/4) = (22/-9)

x = (8/4) - (22/9)

x = 2 - 22/9 = 18/9 - 22/9 = -4/9

3 0
3 years ago
Read 2 more answers
The number of typing errors made by a typist has a Poisson distribution with an average of three errors per page. If more than t
damaskus [11]

Answer:

0.6472 = 64.72% probability that a randomly selected page does not need to be retyped.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

Poisson distribution with an average of three errors per page

This means that \mu = 3

What is the probability that a randomly selected page does not need to be retyped?

Probability of at most 3 errors, so:

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

In which

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498

P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494

P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.2240

P(X = 3) = \frac{e^{-3}*3^{3}}{(3)!} = 0.2240

Then

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0498 + 0.1494 + 0.2240 + 0.2240 = 0.6472

0.6472 = 64.72% probability that a randomly selected page does not need to be retyped.

3 0
2 years ago
Tia is traveling from city A to city B. The two cities are 320 miles apart. She has traveled 260 miles at a steady speed for 4 h
allochka39001 [22]

Answer:

65mph

Step-by-step explanation:

forget about how far apart the cities are for now instead divide 260/4 because tia has traveled 260M for 4 hours

distance

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

  time

260/4=65

4 0
3 years ago
Read 2 more answers
An investor invested a total of $2500 in two mutual funds. One fund earned a 5% profit while the other earned a 3% profit. If th
7nadin3 [17]

Answer:

$500 and $2000

Step-by-step explanation:

Let x represent the total investment = $2500

also, this total is split into two different funds

Lets represent these funds as a and b, such that fund a yields a profit of 3% and fund b yield a profit of 5%

So,

a + b = x

a + b =  2500   ......eq 1

Profit from each fund gives;

0.03 a + 0.05b = 115     ....eq 2

Solve simultaneously using substitution method

From eq 1;

b = 2500 - a

Slot in this value in eq 2

0.03a + 0.05 (2500 - a) = 115

expand

0.03a + 125 - 0.05a = 115

collect like terms

0.03a - 0.05a = 115 - 125

-0.02a = -10

Divide both sides by -0.02

a =  $500

Put this value of a in eq 1

500 + b =  2500

Subtract 500 from both sides

b = 2500 - 500

b = $2000

3 0
3 years ago
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