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3 years ago

5( x-2)+3x-4 = -38 solve for x

Mathematics

2 answers:

Sholpan [36]3 years ago

6 0

Answer:

x = -3

Step-by-step explanation:

5(x-2)+3x-4 = -38

=> 5x-10+3x-4 = -38

=> 5x+3x-10-4 = -38

=> 8x-14 = -38

=> 8x = -38+14

=> 8x = -24

=> x = -24/8

=> x = -3

sdas [7]3 years ago

3 0

X=-3 i did all of the work but if you have any more questions feel free to let me know !

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Answer:

Step-by-step explanation:

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8 0

2 years ago

Read 2 more answers

Twelve percent of U.S. residents are in their forties. Consider a group of nine U.S. residents selected at random. Find the prob

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Answer:

The probability is 28 % ( approx )

Step-by-step explanation:

Since, there are only two possible outcomes in every trails ( residents are in their forties or not ),

So, this is a binomial distribution,

Binomial distribution formula,

Probability of success in x trials,

$P(x)=^nC_x p^x q^{n-x}$

Where, $^nC_x=\frac{n!}{x!(n-x)!}$

p and q are probability of success and failure respectively and n is the total number of trials.

Let X be the event of resident who are in his or her forties.

Here, p = 12% = 0.12,

⇒ q = 1 - p = 1 - 0.12 = 0.88,

n = 9,

Hence, the probability that two or three of the people in the group are in their forties = P(X=2) + P(X=3)

$^9C_2 (0.12)^2 (0.88)^{9-2}+^9C_3 (0.12)^3 (0.88)^{9-3}$

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$=0.279266611163$

$\approx 0.28$

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3 years ago

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Answer:

The time taken by both when they work together is 2 hours 42 minutes .

Step-by-step explanation:

Given as :

The time taken by Ryan to dig 10 ft by 10 ft hole = x = 5 hours

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Let The time taken by both when they work together = z hours

<u>According to question</u>

The time taken by both when they work together = time taken by Ryan to dig 10 ft by 10 ft hole + time taken bu Castel to dig 10 ft by 10 ft hole

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Or, $\dfrac{1}{z}$ = $\dfrac{1}{5}$ + $\dfrac{1}{6}$

<u>Taking LCM</u>

Or, $\dfrac{1}{z}$ = $\dfrac{6 + 5}{30}$

Or, $\dfrac{1}{z}$ = $\dfrac{11}{30}$

Or, z = $\dfrac{30}{11}$ hours

∴ z = 2 hours 42 minutes

So, The time taken by both when they work together = z = 2 hours 42 min

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