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3 years ago

What expressions is equivalent to -6(-2/3 + 2x)

Mathematics

1 answer:

yuradex [85]3 years ago

6 0

Answer:

=−12x+4

Step-by-step explanation:

−6( −2 /3 +2x)

=(−6)( −2 /3 +2x)

=(−6)( −2 /3 )+(−6)(2x)

=4−12x

=−12x+4

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Explain how you know that the some of 12.6, 3.1, and 5.4cis greater than 20

ddd [48]

You can add the numbers together so:

12.6
3.1
+ 5.4
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Since the sum of the numbers is 21.1, it is greater than 20

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2 years ago

A test has 20 true/false questions. What is the probability that a student passes the test if they guess the answers? Passing me

Minchanka [31]

Using the binomial distribution, it is found that:

The probability that the student will get 15 correct questions in this test by guessing is 0.0207 = 2.07%.

For each question, there are only two possible outcomes, either the guess is correct, or it is not. The guess on a question is independent of any other question, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

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

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

There are 20 questions, hence $n = 20$ .

Each question has 2 options, one of which is correct, hence $p = \frac{1}{2} = 0.5$

The probability is:

$P(X \geq 15) = P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)$

In which:

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

$P(X = 15) = C_{20,15}.(0.5)^{15}.(0.5)^{5} = 0.0148$

$P(X = 16) = C_{20,16}.(0.5)^{16}.(0.5)^{4} = 0.0046$

$P(X = 17) = C_{20,17}.(0.5)^{17}.(0.5)^{3} = 0.0011$

$P(X = 18) = C_{20,18}.(0.5)^{18}.(0.5)^{2} = 0.0002$

$P(X = 16) = C_{20,19}.(0.5)^{19}.(0.5)^{1} = 0$

$P(X = 17) = C_{20,20}.(0.5)^{20}.(0.5)^{0} = 0$

Then:

$P(X \geq 15) = P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.0148 + 0.0046 + 0.0011 + 0.0002 + 0 + 0 = 0.0207$

The probability that the student will get 15 correct questions in this test by guessing is 0.0207 = 2.07%.

You can learn more about the binomial distribution at brainly.com/question/24863377

6 0

2 years ago

If I have 5 apples then eat 2, how many do I have left?

TiliK225 [7]

3 apples.

You can get this by subtracting the 2 from the 5 you originally had.

6 0

3 years ago

Find the following when a = -2, b = 3, c = -1/3

fomenos

Maybe try
f(x) = 7 − 3x
(a)
f(a)
Incorrect: Your answer is incorrect.
(b)
f(−a)

(c)
−f(a)

(d)
f(a + h)

(e)
f(a) + f(h)

(f)
f(a + h) − f(a)
h
, if h ≠ 0 
(Scroll Down for Answer!)OR get immediate PAID help on:Answer by stanbon(72140) (Show Source):You can put this solution on YOUR website!
If a and h are real numbers, find the following values for the given function.
f(x) = 7 − 3x
(a)
f(a) = 7-3a
------------------------
(b)
f(−a) = 7-3(-a) = 7+3a
------------------------
(c)
−f(a) = -(7-3a) = 3a-7
------------------------
(d)

f(a + h) = 7 -3(a+h) = 7-3a-3h
------------------------
(e)
f(a) + f(h) = (7-3a)+(7-3h) = 14-3a-3h
------------------------
(f)
if h ≠ 0,

[f(a + h) − f(a)]/h = {[7-3a-3h]-[7-3a]}/h = [-3h]/h = -

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2 years ago

Determine the larger of two consecutive integers whose sum add to 85

ivolga24 [154]

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3 years ago