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3 years ago

A like with slope = 1/2 passes through the points (2,5) and (x,3). What is the value of x?

1 answer:

8 0

Y = mx + b

slope = m = 1/21, so we have

y = 1/2 x + b

The line passes through (2, 5), so we get

5 = 1/2 * 2 + b

5 = 1 + b

b = 4

The equation of the line is

y = 1/2 x + 4

Point (x, 3) has a y-coordinate of 3. We are looking for the x-coordinate.

y = 1/2 x + 4

3 = 1/2 x + 4

-1 = 1/2 x

x = -2

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The density of the American white oak tree is 752 kilograms per cubic meter. If the trunk of an American white oak tree has a ci

iVinArrow [24]

Here I hope this helps you out

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2 years ago

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Suppose that in a random sample of 300 employed Americans, there are 57 individuals who say that they would fire their boss if t

otez555 [7]

Answer:

The 95% confidence interval for the population proportion is (0.1456, 0.2344). This means that we are 95% sure that the true proportion of employed American who say that they would fire their boss if they could is between 0.1456 and 0.2344.

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 $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 300, \pi = \frac{57}{300} = 0.19$

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 $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.19 - 1.96\sqrt{\frac{0.19*0.81}{300}} = 0.1456$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.19 + 1.96\sqrt{\frac{0.19*0.81}{300}} = 0.2344$

4 0

3 years ago

How you divide 288 by 16

Ratling [72]

Answer:

Step-by-step explanation:

16 |‾‾‾288‾‾‾

16 goes into 28 once = 1 (as the tens digit = 10)

28-16=12 (remainder)

128/16 =8

10 + 8 = 18

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3 years ago

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What is the value of f (4) if it is defined by f (x) =2x+3

AleksAgata [21]

Answer:

Step-by-step explanation:

Substitute 4 for x

2(4) +3

3 0

2 years ago

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Please help!

dem82 [27]

So, in this problem you already have the equations set up for how much money each one works. You have Jim, earning a starting amount of $35, plus an additional $3 for every hour he works. You also have John, who gets $8.

The variable in the equations is h, which stands for hours. From there, you can put the three different h values (6, 7, and 8) into the equations to see who gets more money.

For instance, for Day 1, Jim gets 35+3x6 dollars, or 35+18=$53, while John gets 8x6 dollars, or $48. You can substitute in 7 and 8 and do the same process to get the answers for Day 1 and 2.

Hope this helps!

7 0

3 years ago