Mrs Finney puts her students into lines

A slope of 72 degrees is created by which slope ratio?

Elden [556K]

Answer:

9 and 8 9:8 would be the ratio

Step-by-step explanation: When you multiply 9 times 8 you get 72

7 0

4 years ago

Solve: -5(x+2)+6=3(x+4)

pantera1 [17]

Answer:

x=-2

Step-by-step explanation:

3 0

3 years ago

A poll found that 52% of U.S. adult Twitter users get at least some news on Twitter. The standard error for this estimate was 2.

Leya [2.2K]

Answer:

The 99% confidence interval for the fraction of U.S. adult Twitter users who get some news on Twitter is (0.46, 0.58). This means that we are 99% sure that the true proportion of all U.S. adult Twitter users who get some news on Twitter is between these two values.

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 z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

A poll found that 52% of U.S. adult Twitter users get at least some news on Twitter. The standard error for this estimate was 2.4%

This means that:

$\pi = 0.52, \sqrt{\frac{\pi(1-\pi)}{n}} = 0.024$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a p-value of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 - 2.575(0.024) = 0.46$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 + 2.575(0.024) = 0.58$

The 99% confidence interval for the fraction of U.S. adult Twitter users who get some news on Twitter is (0.46, 0.58). This means that we are 99% sure that the true proportion of all U.S. adult Twitter users who get some news on Twitter is between these two values.

8 0

3 years ago

The perimeter of a triangle is 35 feet. One side of the triangle is five feet longer than the second side. The third side is thr

Vaselesa [24]

Given:

The perimeter of the triangle = 36 feet.

Let the three sides of the triangle be x, y and z.

The measurements of the sides of the triangle are given by

$x=5+y$ and $z=3+y$

We need to determine the length of the sides.

Value of y:

Let us determine the value of y using the perimeter formula.

$Perimeter =x+y+z$

Substituting the values, we get;

$35=5+y+y+3+y$

$35=8+3y$

$27=3y$

$9=y$

Thus, the value of y is 9 feet.

Hence, the length of the second side is 9 feet.

Length of the sides:

Length of the 1st side is given by

$x=5+y$

$x=5+9$

$x=14$

Thus, the length of the first side is 14 feet.

Length of the third side is given by

$z=3+y$

$z=3+9$

$z=12$

Thus, the length of the third side is 12 feet.

Therefore, the length of the sides of the triangle are 14 feet, 9 feet and 12 feet.

6 0

3 years ago

A store sells ink jet printers and laser printers. On Monday, it sold a total of 100 printers. The store earns $40 profit for ea

andrew-mc [135]

Answer:

The store sold 20 more ink jet printers than laser printers.

Step-by-step explanation:

Since the store sold 100 printers, you can say that the result of adding up the numbers of each type of printers sold is equal to 100, which is:

x+y=100, where:

x is the number of ink jet printers sold

y is the number of laser printers sold

Also, you know the amount the profit the store gets for each type of printer and the total profit received on Monday which means that adding up the results of multiplying each type of printer for its price is equal to the total profit, which can be expressed as:

40x+55y=4,600

Now, you have two equations:

x+y=100 (1)

40x+55y=4,600 (2)

You have solve this system of equations to find the number of ink jet and laser printers that were sold. First, you have to solve for x in (1):

x=100-y (3)

Then, you have to replace (3) in (2) and solve for y:

40(100-y)+55y=4,600

4000-40y+55y=4,600

15y=600

y=600/15

y=40

Finally, you can replace the value of y in (3) to find the value of x:

x=100-40

x=60

Now that you know that the store sold 60 ink jet printers and 40 laser printers, you can find the difference between this numbers to be able to know how many more ink jet printers were sold:

60-40=20

According to this, the answer is that the store sold 20 more ink jet printers than laser printers.

7 0

3 years ago