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3 years ago

Solve the equation algebraically show work to support the answer 2/3x + 4 = 2

Mathematics

1 answer:

Artemon [7]3 years ago

5 0

Answer:

2/3x + 4 = 2

or,3x+2+4=2

or,3x+6=2

or,3x=2-6

or,3x=-4

or,x=-4/3

x=-1.33

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If x^2 -7x=30 and x>0, what is the value of x-5

laila [671]

Answer:

Step-by-step explanation:

x^2-7x=30

x^2-7x-30=0

a = 1, b = -7, c = -30

sqrt(b^2-4ac)

sqrt(49+120)

sqrt(169)

-b +/- 13

7 + 13 = 20

7 - 13 = -6

2a = 2

20/2 = 10

-6/2 = -3

we know x>0, so it cant be -3. so now its just 10 - 5

3 0

3 years ago

20 POINTS! Please help

LUCKY_DIMON [66]

Hey! I believe the answer is A. Have a nice/great day! :-)

4 0

3 years ago

A recent survey of students at John Tukey High School revealed that

RoseWind [281]

Answer:

0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they are in favor, or they are not. Students are independent. 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.

18% of the students are in favor of changing the dress code.

This means that $p = 0.18$

You randomly select 15 students

This means that $n = 15$

What is the probability that at least three of these students are in favor of the proposal to change the dress code?

This is

$P(X \geq 3) = 1 - P(X < 3)$

In which

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

In which

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

$P(X = 0) = C_{15,0}.(0.18)^{0}.(0.82)^{15} = 0.051$

$P(X = 1) = C_{15,1}.(0.18)^{1}.(0.82)^{14} = 0.1678$

$P(X = 2) = C_{15,2}.(0.18)^{2}.(0.82)^{13} = 0.2578$

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.051 + 0.1678 + 0.2578 = 0.4766$

$P(X \geq 3) = 1 - P(X < 3) = 1 - 0.4766 = 0.5234$

0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.

8 0

3 years ago

Which expression represents a factorization of 32m + 56mp?

Brilliant_brown [7]

Answer:

The answer is option D

Step-by-step explanation:

32m + 56mp

First factor out the HCF out

The HCF of 32and 56 is 8

So we have

8 ( 4m + 7mp)

next factor m out

We have the final answer as

Hope this helps you

8 0

3 years ago

Pls answer need help asap!!

Ivanshal [37]

The first parallelogram is parallel but the second parallelogram is not parallel

4 0

3 years ago