Extend Thinking: Find the x and y intercepts. (Use 2.1 & 2.2 notes to solve.)

Graph y=3x+1 by plotting two,points and connecting with a straight line

Vadim26 [7]

This is what the graph would look like

4 0

3 years ago

Maya drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 12 hours. When Maya drove

Roman55 [17]

Answer:

480 miles.

Step-by-step explanation:

Let x represent the distance between Maria's house and mountains ans r represent Maria's rate for going trip.

We have been given that there was heavy traffic on the way there, and the trip took 12 hours.

$\text{Distance}=\text{Rate}\times \text{Time}$

$x=12r$

We are also told that hen Maya drove home, there was no traffic and the trip only took 8 hours. Maria's average rate was 20 miles per hour faster on the trip home.

So Maria's speed while returning back would be $r+20$ .

$x=8(r+20)$

Upon equating both distances, we will get:

$12r=8(r+20)$

$12r=8r+160$

$12r-8r=8r-8r+160$

$4r=160$

$r=\frac{160}{4}$

$r=40$

Upon substituting $r=40$ in equation $x=12r$ , we will get:

$x=12r\\\\x=12(40)\\\\x=480$

Therefore, Maya live 480 miles away from the mountains.

7 0

3 years ago

Maya is helping a gardener plant 300 bulbs. They plant 20% of the bulbs on Monday and 30% of the bulbs on Tuesday. Maya says thi

Katyanochek1 [597]

Answer:

because the total is 300 not 100 so 50 is not reasonable because that is the percentage they planted and since it is more than 100 then it should be a percent of 300 not 100. Maya is wrong about placing 50 bulbs instead they placed 150.

Step-by-step explanation:

8 0

3 years ago

What is the slope of the line that passes through the points (1, 2) and (3, 12)?

Molodets [167]

Answer:

Slope is 5

Step-by-step explanation:

(1, 2) and (3, 12)

m= (y2-y1)/(x2-x1)

m= (12-2)/(3-1)

m= 10/2

m= 5

3 0

3 years ago

An HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute). The manufacturer tells you th

aliya0001 [1]

Answer:

0.227 = 22.7% probability that the mean printing speed of the sample is greater than 18.12 ppm.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .