What value for n makes this equation true? 9xn=(9x40)+(9x6) A.6 B.15 C.36 D.46

Courtney walked from her house to the beach at a constant speed of 4 kilometers per hour, and then walked

RUDIKE [14]

The system of equations that represents this situation are:

q + p = 2

4q + 5p = 8

Solution:

Let q be the number of hours it took Courtney to walk from her house to the beach

Let p be the number of hours it took her to walk from the beach to the park

The entire walk took 2 hours

Therefore,

q + p = 2 ------- eqn 1

The total distance Courtney walked was 8 kilometers

Total distance = 8 km

Courtney walked from her house to the beach at a constant speed of 4 kilometers per hour

Then walked from the beach to the park at a constant speed of 5 kilometers per hour

Distance is given as:

$distance = speed \times time$

From her house to the beach:

$distance = 4 \times q = 4q$

From the beach to the park:

$distance = 5 \times p = 5p$

We know that,

Total distance = 8 km

Therefore,

4q + 5p = 8 ------ eqn 2

Thus the system of equations that represents this situation are:

q + p = 2

4q + 5p = 8

8 0

3 years ago

Find the next two terms for the following pattern 1, -2, 2, -4, 0

Oxana [17]

After figuring out a common difference in this pattern, we can get further terms in the pattern:
1, -2, 2, -4, 0, -3, -1

5 0

2 years ago

The number of gallons of carbonated soft drink consumed per person annually is normally distributed with mean 47.5 and standard

8_murik_8 [283]

Answer:

$P(45$

And we can find this probability with the following difference:

$P(-0.714$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(-0.714$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the number of gallons of a population, and for this case we know the distribution for X is given by:

$X \sim N(47.5,3.5)$