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3 years ago

How do i graph the equation y= -4x - 1

Mathematics

1 answer:

Serggg [28]3 years ago

3 0

9514 1404 393

Answer:

see attached

Step-by-step explanation:

Find the y-values corresponding to x-values of 0 and 1, then plot those points and draw a line through them.

For x=0, ...

y = -4·0 -1 = -1 . . . . the point is (0, -1) . . . the y-intercept

For x=1, ...

y = -4·1 -1 = -5 . . . . the point is (1, -5)

The attached graph shows these points and the line through them.

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Adult male heights have a normal probability distribution with a mean of 70 inches and a standard deviation of 4 inches. What is

raketka [301]

Answer: 0.5

Step-by-step explanation:

Given : Adult male heights have a normal probability distribution .

Population mean : $\mu = 70 \text{ inches}$

Standard deviation: $\sigma= 4\text{ inches}$

Let x be the random variable that represent the heights of adult male.

z-score : $z=\dfrac{x-\mu}{\sigma}$

For x=70, we have

$z=\dfrac{70-70}{4}=0$

Now, by using the standard normal distribution table, we have

The probability that a randomly selected male is more than 70 inches tall :-

$P(x\geq70)=P(z\geq0)=1-P(z$

Hence, the probability that a randomly selected male is more than 70 inches tall = 0.5

4 0

3 years ago

Read 2 more answers

Jane has a circular garden with a diameter of 16 feet if one bag of fertilizer covers 30 ft.² how many bags will she need to cov

AleksAgata [21]

Answer:

She need 7 bags to cover the garden

Step-by-step explanation:

Diameter of circular garden = 16 feet

Radius of circular garden = $\frac{16}{2} = 8 feet$

Area of circular garden = $\pi r^2 = \frac{22}{7} \times 8^2 =200.96ft^2$

30 sq.feet covered by no. of bags = 1

200.96 sq.feet covered by no. of bags = $\frac{200.96}{30}=6.69$

Hence She need 7 bags to cover the garden

5 0

4 years ago

Write the following numbers correct to one significant figure a) 7682 b)0.07682

malfutka [58]

Answer:

a) 8 x 10^3 or 8000

b) 8 x 10^-2 or .08

Explanation: Refer to a guide on rounding sig figs

3 0

3 years ago

To make his famous chocolate cake, a baker uses chocolate that is 75% cocoa.

Masja [62]

The baker needs to use 100/3 pounds of 90% chocolate to make the cake.

<h3>Equation </h3>

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the amount of 90% chocolate. Using equation:

100 * 70% + x * 90% = (x + 100) * 75%

100 * 0.7 + 0.9 * x = (x + 100) * 0.75

70 + 0.9x = 0.75x + 75

x = 100/3

The baker needs to use 100/3 pounds of 90% chocolate to make the cake.

Find out more on Equation at: brainly.com/question/22688504

8 0

3 years ago

A major traffic problem in the Greater Cincinnati area involves traffic attempting to cross the Ohio River from Cincinnati to Ke

yaroslaw [1]

Answer:

a. 0.563 = 56.3% probability that for the next 60 minutes (two time periods) the system will be in the delay state.

b. 0.625 = 62.5% probability that in the long run the traffic will not be in the delay state

Step-by-step explanation:

Question a:

The probability of finding a traffic delay in one period, given a delay in the preceding period, is 0.75.

The system currently is in traffic delay, so for the next time period, 0.75 probability of a traffic delay. If the next period is in a traffic delay, the following period will also have a 0.75 probability of a traffic delay. So

0.75*0.75 = 0.563

0.563 = 56.3% probability that for the next 60 minutes (two time periods) the system will be in the delay state.

b. What is the probability that in the long run the traffic will not be in the delay state? If required, round your answers to three decimal places.

If it doesn't have a delay, 85% probability of continuing without a delay.

If it has a delay, 75% probability of continuing with a delay.

So, for the long run:

x: current state

85% probability of no delay if x is in no delay, 100 - 75 = 25% if x is in delay(1-x). So

$0.85x + 0.25(1 - x) = x$