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Rina8888 [55]
2 years ago
8

Find the values of x and y. 18. 120°=(2x + y)° (2x - y)°=140°

Mathematics
1 answer:
sleet_krkn [62]2 years ago
8 0

Answer:

x = 65, y = - 10

Step-by-step explanation:

Given the 2 equations

2x + y = 120 → (1)

2x - y = 140 → (2)

Adding the 2 equations term by term will eliminate y, that is

4x = 260 ( divide both sides by 4 )

x = 65

Substitute x = 65 into either of the 2 equations and evaluate for y

Substituting into (1)

2(65) + y = 120

130 + y = 120 ( subtract 130 from both sides )

y = - 10

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A tire manufacturer warranties its tires to last at least 20,000 miles orâ "you get a new set ofâ tires." In itsâ experience, a
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Answer:

Probability that a set of tires wears out before 20,000 miles is 0.1151.

Step-by-step explanation:

We are given that a tire manufacturer warranties its tires to last at least 20,000 miles or "you get a new set of tires." In its past experience, a set of these tires last on average 26,000 miles with S.D. 5,000 miles. Assume that the wear is normally distributed.

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So, X ~ N(\mu=26,000,\sigma^{2}=5,000^{2})

Now, the z score probability distribution is given by;

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So, probability that a set of tires wears out before 20,000 miles is given by = P(X < 20,000 miles)

    P(X < 20,000) = P( \frac{X-\mu}{\sigma} < \frac{20,000-26,000}{5,000} ) = P(Z < -1.2) = 1 - P(Z \leq 1.2)

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3 years ago
In the 1996 presidential election, Bill Clinton received 2,495,683 votes in Texas. This was 177,868 more votes than he had recei
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Answer:

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Given that this was 177,868 more votes than he had received in 1992.

So the vote received in 1992 by Bill Clinton in 1992 is = ( Total votes received by  Bill Clinton in 1996 ) - ( 177,868 )

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⇒The vote received in 1992 by Bill Clinton in 1992 is = 2317815

Therefore votes did Bill Clinton get in Texas in 1992 = 2317815

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3 years ago
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