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3 years ago

Solve for x 3x + 3 − x + (−7) > 6 A. x > (−5) B. x > 2.5 C. x > 5 D. x < 5

Mathematics

2 answers:

GREYUIT [131]3 years ago

5 0

Answer:

Step-by-step explanation:

denpristay [2]3 years ago

3 0

ANSWER

C. x>5

EXPLANATION

The given inequality is:

3x + 3 − x + (−7) > 6

Deal with the parenthesis first to obtain;

3x + 3 − x −7 > 6

Group similar terms to get:

3x − x> 6-3+7

Combine similar terms to get,

$2x \: > \: 10$

Divide both sides by 2 to obtain:

$x \: > \: 5$

The correct choice is C. x>5

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There are 7 acts in a talent show.

lara31 [8.8K]

Answer:

Event A: 1/35

Event B: 1/840

Explanation:

Event A

For the event A, the order of the first 4 acts does not matter.

The number of different four acts taken from a set of seven acts, when the order does not matter, is calculated using the concept of combinations.

Thus, the number of ways that the first four acts can be scheduled is:

$C(m,n)=\dfrac{m!}{n!(m-n)!}$

$C(7,4)=\dfrac{7!}{4!(7-4)!}=\dfrac{7!}{4!(3)!}=35$

And the number of ways that four acts is the singer, the juggler, the guitarist, and the violinist, in any order, is 1: C(4,4).

Therefore the probability of Event A is:

$P(A)=1/35$

Event B

Now the order matters. The difference between combinations and permutations is ordering. When the order matters you need to use permutations.

The number of ways in which four acts can be scheculed when the order matters is:

$P(m,n)=\dfrac{m!}{(m-n)!}$

$P(m,n)=\dfrac{7!}{(7-4)!}=P(m,n)=\dfrac{7!}{4!}=840$

The number of ways the comedian is first, the guitarist is second, the dancer is third, and the juggler is fourth is 1: P(4,4)

Therefore, the probability of Event B is:

$P(B)=1/840$

7 0

3 years ago

Greq and Sam oredered a pizza for lunch. Greg ate 3/4 of the pizza, and Sam ate 1/8 of the pizza. How much of the whoe pizza was

MatroZZZ [7]

Convert 3/4 to a denominator of 8 by multiplying by two, getting you:

6/8 + 1/8

Add those and you get D) 7/8

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3 years ago

If a fair coin is tossed, the probability that it will land heads up is ½. Olivia tosses a coin 4 times, and it lands on heads 4

disa [49]

Answer:

Step-by-step explanation:

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3 years ago

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frosja888 [35]

Step-by-step explanation:

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d. f(-5) = 0

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2 years ago

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andrezito [222]

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