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3 years ago

how does multiplying powers with the same base differ from multiplying powers with the same exponent but different bases?

Mathematics

1 answer:

statuscvo [17]3 years ago

4 0

Answer:

because exponents are just the amount of times the base number is multiplied by itself, changing the base number would change which number you are multiplying.

Step-by-step explanation:

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For each of these terms give an example and a non example power of 10

Marizza181 [45]

I'm sorry but I don't see any terms, when I figure out how to put a photo in, I will help you with it.

5 0

3 years ago

Assume that random guesses are made for seven multiple choice questions on an SAT test, so that there are n=7 trials, each with

Vedmedyk [2.9K]

Answer:

P(X < 4) = 0.5

Step-by-step explanation:

For each question, there are only two possible outcomes. Either it is answered correctly, or it is not. The probability of a question being answered correctly is independent of any other question. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

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

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

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

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

And p is the probability of X happening.

In this question, we have that:

$n = 7, p = 0.5$

Find the probability that the number of correct answers is fewer than 4:

This is

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

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

$P(X = 0) = C_{7,0}.(0.5)^{0}.(0.5)^{7} = 0.0078$

$P(X = 1) = C_{7,1}.(0.5)^{1}.(0.5)^{6} = 0.0547$

$P(X = 2) = C_{7,2}.(0.5)^{2}.(0.5)^{5} = 0.1641$

$P(X = 3) = C_{7,3}.(0.5)^{3}.(0.5)^{4} = 0.2734$

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0078 + 0.0547 + 0.1641 + 0.2734 = 0.5$

P(X < 4) = 0.5

6 0

3 years ago

Write an equation of a line that is perpendicular to y=2x-3 and has a y intercept of 10

AnnyKZ [126]

The slope of a line that is perpendicular to another line is the negative reciprocal of the other.

In this case, we know that the slope of the given equation is 2.

Since we're solving for a line perpendicular to it, we simply find the reciprocal of the 2 (It turns into 1/2) and make it negative.

y = -1/2x + b

Since the given states that the new y-intercept is 10, input it into 'b'.

y = -1/2x + 10

If you'd like me to explain anything I did here, just ask :)
-T.B.

4 0

3 years ago

What is x and y if i don't know either

Crazy boy [7]

Answer:

Step-by-step explanation:

Be more specific, X can be a variable, or they can be coordinates, visa versa.

7 0

3 years ago

NO WEBSITES/ fake links, inappropriate/ wired/ not helping comments or your getting reported! Help me with ALL the problems!

rjkz [21]

Answer:

1). 0.625

2). 0.5

3). 0.6

4). 1.75

5). 0.6666 (repeating decimal)

hope this helped!

6 0

3 years ago