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2 years ago

What is the slope of the line in the graph?

Mathematics

1 answer:

Allisa [31]2 years ago

3 0

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 1) ← 2 points on the line

m = $\frac{1-0}{0+1}$ = 1

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A cyclist rides his bike at a speed of 18 miles per hour. What is this speed in feet per second? How many feet will the cyclist

Kisachek [45]

Answer:

The distance travel by cyclist in 20 seconds is 528 feet .

Step-by-step explanation:

Given as :

The speed of cyclist riding bike = s = 18 miles per hour

Let The distance cover by cyclist in 20 seconds = d feet per sec

Now, According to question

∵ 1 miles = 5280 feet

∴ 18 miles = 5280 × 18 = 95,040 feet

So, The speed of cyclist in feet per hour = 95,040 feet per hour

Again,

∵ 1 hours = 3600 seconds

So, The speed of cyclist in feet per sec = $\dfrac{95040}{3600}$ ft/sec

∴ The speed of cyclist in feet per sec = 26.4 feet per second

Again

∵ In 1 sec the distance cover by cyclist = 26.4 feet

∴ In 20 sec the distance cover by cyclist = 26.4 × 20 feet

i.e In 20 sec the distance cover by cyclist = 528 feet

Hence, The distance travel by cyclist in 20 seconds is 528 feet . Answer

3 0

3 years ago

Leanne Raymond Montel and Emily body gift for their soccer coach the total cost of the gift including tax was $55.80 Montel paid

Flauer [41]

Solution: The total cost of the gift including the tax = $55.80

The amount paid by Montel = $14

The amount paid by Raymond is

$\frac{1}{3} \times 55.80$

$18.6$

Therefore, Raymond paid $18.6

The amount paid by Emily is

25% of 55.80

$0.25 \times 55.80 = 13.95$

Therefore, Emily paid $13.95

We also know that the remaining amount is paid by Leanne.

Therefore, the remaining amount is:

Total amount - Amount paid by Montel, Raymond and Emily

$55.80 -(14+18.6+13.95)$

$55.80 - 46.55$

$9.25$

The amount paid by Leanne is $9.25

We clearly see, Raymond has paid $18.6, which is the greatest part of the cost $55.80

7 0

3 years ago

What is the volume of this figure? 5 10 ft 15 ft 15 ft

Svetlanka [38]

Answer:

7500 ft

Step-by-step explanation:

5 x 10 x 10 x 15

(50) x 10 x 15

(500) x 15

(7500)

4 0

3 years ago

All of the following are equivalent, except _____.

marusya05 [52]

1. Given (12+3)x, we can sum the numbers in the parenthesis to get 15x

2. Given 12x+3x, we can factor x to get (12+3)x and get the same as 1.

3. Given (12+3x)x, we have to distribute the x and we have $12x+3x^2$

4. This expression is already simplified.

7 0

3 years ago

Read 2 more answers

As part of his semester project, a BYU-Idaho Introductory Statistics student calculates a 95% confidence interval for the true p

lyudmila [28]

Answer:

a. There's a 95% chance that the true proportion is in the confidence interval.

Step-by-step explanation:

When we want to estimate a property of a population (a population's parameter), without surveying the population, we use samples.

Then, with the information of the samples we can calculate the statistics and infere properties about a population. This inferences obviously came with some uncertainty, depending on the properties of the sample and specially the sample size.

When we talk about confidence intervals, we use the statistic of the sample (in this case, the mean) to estimate a range of values it is expected to find the true mean of the population. The width of this interval depends on the sample standard deviation and the sample size.

The value of the confidence interval (95%, 99%, etc) represent the probabilty that the true mean is within this interval.

3 0

3 years ago