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3 years ago

The points (-4, 3) and (4, r) lie on a line with slope 1/2 Find the missing coordinate r.

Mathematics

1 answer:

melisa1 [442]3 years ago

7 0

Answer:

Step-by-step explanation:

8 units separate -4 and 4

8 divided by 2 (which is the x of slope) is four

Four times 1 (which is y of slope) equals four

3+4 equals seven

(4,7)

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Two containers hold several balls. Once a second, one of the balls is chosen at random and switched to the other container. Afte

natka813 [3]

Answer:

(a) 8 balls

(b) 4 balls

Step-by-step explanation:

Let

$N \to$ Number of balls

For a box, the probability that there are N balls in it is:

$Pr = 0.5^N$

For 2 boxes, it is:

$Pr = 2 * 0.5^N$

From the question, we have:

$\frac{80}{10000} \to$ Favorable outcome

To solve for N, we have:

$2 * 0.5^N = \frac{80}{10000}$

$2 * 0.5^N = 0.008$

Divide both sides by 2

$0.5^N = 0.004$

Take log of both sides

$\log(0.5^N) = \log(0.004)$

Apply law of logarithm

$N\log(0.5) = \log(0.004)$

Make N the subject

$N = \frac{\log(0.004)}{\log(0.5)}$

$N =7.966$

Approximate

$N = 8$

Solving (b): Balls in one of the two boxes.

Here, we assume that each ball will have almost the same number of balls at a given instance;

Hence, we have:

$Balls \approx \frac{N}{2}$

$Balls \approx \frac{8}{2}$

$Balls \approx 4$

4 balls in each box

6 0

3 years ago

Amir has spent the last three months saving money for a $1,400 computer in his local electronics store. So far he has saved $1,2

Fiesta28 [93]

25% off of $1400 equal: 1400 + .25 = 350, so 1400 - 350 = 1050
So now the computer with 25 % off is $1050.
tax 7%, means 1050 + .07 = $73.50 (sales tax charge)

Total computer with 25% off plus 7% tax equal:

$1050 + 73.50 = $1,123.50

Amir has saved $1200, so he has enough money to purchase the computer.

6 0

3 years ago

The average show stays on Broadway for 2.4 years with a standard deviation of 1.5. What is the z-score of a show that runs for 2

balandron [24]

Z-scores are expressed in terms of standard deviations from their means. The standard score is simply the score, minus the mean score, divided by the standard deviation. It is calculated as follows:

z = X- mean / standard deviation
z = 2.7 - 2.4 / 1.5
z = 0.2

5 0

3 years ago

Solve -14-5y >-64 A. Y<10 B.y>-10 C. Y>10 D.y<-10

amm1812

Hello :D

Answer:

A. $Y$

Step-by-step explanation:

First, you add by 14 both sides of an equation.

-14-5y+14>-64+14

Then, simplify by equation.

-64+14=-50

-5y>-50

Multiply -1 both sides.

(-5y)(-1)<(-50)(-1)

5y<50

Divide by 5 both sides of an equation.

5y/5<50/5

Divide numbers from left to right.

50/5=10

y<10 is the correct answer.

Hope this helps you! :D

6 0

3 years ago

The amount of blueberries picked, in pounds, varies directly as the number of hours worked. After

OverLord2011 [107]

Answer:

Step-by-step explanation:

3 pounds were picked per hour

4 0

3 years ago

Read 2 more answers