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2 years ago

Find the value of x in the triangle shown below

Mathematics

1 answer:

frutty [35]2 years ago

3 0

Answer:

sqrt(104) =x

Step-by-step explanation:

We can use the Pythagorean theorem since this is the right triangle.

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse.

2^2 + 10^2 = x^2

4+100 = x^2

104 = x^2

Take the square root of each side

sqrt(104) = sqrt(x^2)

sqrt(104) =x

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TechWiz Electronics makes a profit of $35 for each MP3 player sold and $18 for each DVD player sold. Last week, TechWiz sold a c

Svetllana [295]

Let x be the number of MP3 players TechWiz sold last week.

If TechWiz sold in total 130 MP3 and DVD players, then it sold (130-x) DVD players.

1. TechWiz Electronics makes a profit of $35 for each MP3 player sold, then it makes a profit $35x for x MP3 players sold.

2. TechWiz Electronics makes a profit of $18 for each DVD player sold , then it makes a profit $18(130-x) for (130-x) DVD players sold.

3. An expression for the combined total profit (in dollars) TechWiz made from MP3 and DVD players last week is

35x+18(130-x).

You can simplify it:

35x+2,340-18x=17x+2,340

Answer: 35x+18(130-x) or 17x+2,340

8 0

2 years ago

Fractions that have different denominators are called

scoray [572]

They are called unike fractions. If u would want to do anything to them u would have to make the denominaters the same

5 0

3 years ago

Read 2 more answers

"If you like rock-n-roll, then you like loud music." What is the converse of this statement?

Jobisdone [24]

Answer:

"If you like loud music, then you like rock-n-roll"

Step-by-step explanation:

we know that

To form the converse of the conditional statement, interchange the hypothesis and the conclusion

In this problem we have

"If you like rock-n-roll, then you like loud music."

The hypothesis is "you like rock-n-roll"

The conclusion is "you like loud music"

interchange the hypothesis and the conclusion

The converse is

"If you like loud music, then you like rock-n-roll"

5 0

2 years ago

7.1.35-T Question Help You are the operations manager for an airline and you are considering a higher fare level for passengers

shusha [124]

Answer:

You must survey 784 air passengers.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Assume that nothing is known about the percentage of passengers who prefer aisle seats.

This means that $\pi = 0.5$ , which is when the largest sample size will be needed.

Within 3.5 percentage points of the true population percentage.

We have to find n for which M = 0.035. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.035 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.035\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.035}$

$(\sqrt{n})^2 = (\frac{1.96*0.5}{0.035})^2$

$n = 784$

You must survey 784 air passengers.

6 0

2 years ago

A box contains 10 green marbles and 11 white marbles. If the first marble chosen was a green marble, what is the probability of

Neko [114]

Answer:

11/20

Step-by-step explanation:

At the beginning, the number of marbles in the box are:

10 green marbles

11 white marbles

The first marble chosen is green, and then it is not replaced in the box. Therefore, the number of green marbles left in the box is 9.

Therefore, the total number of marbles left in the box is:

$n=9+11=20$

Now we want to find the probability to choose a white marble. The number of white marble is

$w=11$

Therefore, the probability of choosing a white marble is:

$p(w)=\frac{w}{n}=\frac{11}{20}$

3 0

3 years ago