Ask question

Ask question

All categories

3 years ago

14

Find an equation in slope-intercept form of the line that has slope –2 and passes through point (1,9)

1 answer:

lozanna [386]3 years ago

8 0

Answer:

y=-2x+11

Step-by-step explanation:

slope intercept form is y=mx+b m being the slope and b the y-intercept

using the slope you can calculate the y intercept

m=-2

y-intercept(b)=11

You might be interested in

What is the value of x in the equation below? <br> (9x – 6) = 4x + 10

Aleks [24]

Answer:

x = 16/5

Step-by-step explanation:

9x – 6 = 4x + 10 <-- Combine like terms on one side

5x = 16 <-- Isolate x

x = 16/5

8 0

3 years ago

Read 2 more answers

Consider a sample with data values of 27, 24, 21, 16, 30, 33, 28, and 24. Compute the 20th, 25th, 65th, and 75th percentiles. 20

densk [106]

Answer:

$P_{20} = 20$ --- 20th percentile

$P_{25} = 21.75$ --- 25th percentile

$P_{65} = 27.85$ --- 65th percentile

$P_{75} = 29.5$ --- 75th percentile

Step-by-step explanation:

Given

27, 24, 21, 16, 30, 33, 28, and 24.

N = 8

First, arrange the data in ascending order:

Arranged data: 16, 21, 24, 24, 27, 28, 30, 33

Solving (a): The 20th percentile

This is calculated as:

$P_{20} = 20 * \frac{N +1}{100}$

$P_{20} = 20 * \frac{8 +1}{100}$

$P_{20} = 20 * \frac{9}{100}$

$P_{20} = \frac{20 * 9}{100}$

$P_{20} = \frac{180}{100}$

$P_{20} = 1.8th\ item$

This is then calculated as:

$P_{20} = 1st\ Item +0.8(2nd\ Item - 1st\ Item)$

$P_{20} = 16 + 0.8*(21 - 16)$

$P_{20} = 16 + 0.8*5$

$P_{20} = 16 + 4$

$P_{20} = 20$

Solving (b): The 25th percentile

This is calculated as:

$P_{25} = 25 * \frac{N +1}{100}$

$P_{25} = 25 * \frac{8 +1}{100}$

$P_{25} = 25 * \frac{9}{100}$

$P_{25} = \frac{25 * 9}{100}$

$P_{25} = \frac{225}{100}$

$P_{25} = 2.25\ th$

This is then calculated as:

$P_{25} = 2nd\ item + 0.25(3rd\ item-2nd\ item)$

$P_{25} = 21 + 0.25(24-21)$

$P_{25} = 21 + 0.25(3)$

$P_{25} = 21 + 0.75$

$P_{25} = 21.75$

Solving (c): The 65th percentile

This is calculated as:

$P_{65} = 65 * \frac{N +1}{100}$

$P_{65} = 65 * \frac{8 +1}{100}$

$P_{65} = 65 * \frac{9}{100}$

$P_{65} = \frac{65 * 9}{100}$

$P_{65} = \frac{585}{100}$

$P_{65} = 5.85\th$

This is then calculated as:

$P_{65} = 5th + 0.85(6th - 5th)$

$P_{65} = 27 + 0.85(28 - 27)$

$P_{65} = 27 + 0.85(1)$

$P_{65} = 27 + 0.85$

$P_{65} = 27.85$

Solving (d): The 75th percentile

This is calculated as:

$P_{75} = 75 * \frac{N +1}{100}$

$P_{75} = 75 * \frac{8 +1}{100}$

$P_{75} = 75 * \frac{9}{100}$

$P_{75} = \frac{75 * 9}{100}$

$P_{75} = \frac{675}{100}$

$P_{75} = 6.75th$

This is then calculated as:

$P_{75} = 6th + 0.75(7th - 6th)$

$P_{75} = 28 + 0.75(30- 28)$

$P_{75} = 28 + 0.75(2)$

$P_{75} = 28 + 1.5$

$P_{75} = 29.5$

7 0

3 years ago

When using the Poisson distribution, which parameter of the distribution is used in probability computations? What is the symbol

egoroff_w [7]

Answer:

The Poisson distribution uses the shape parameter denoted by <em>λ</em>.

Step-by-step explanation:

A Poisson distribution is used to describe the distribution of the number of events that take place in a fixed interval of time.

For instance, number of customers arriving at a bank in an hour or the number of typos encountered in a book every 50 pages.

The Poisson distribution uses the shape parameter to compute the probabilities of different events.

The shape parameter is defined as the average number of occurrence in a given time interval. It is usually denoted by <em>λ</em>.

The probability mass function of a Poisson distribution is:

$P(X=x)\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0,1,2,3...$

7 0

3 years ago

Please help me with this, it'd be highly appreciated and I may mark you brainiest!

alina1380 [7]

Answer:6/a^3

Step-by-step explanation:

3 0

3 years ago

What is the relationship between 1.0 and 0.1

SashulF [63]

I think it is they both have a 1 and a 0 in them.

7 0

3 years ago

Read 2 more answers