Ask question

Ask question

All categories

stepladder [879]

3 years ago

15

At 82°F, a certain insect chirps at a rate of 61 times per minute, and at 91°F, they chirp 124 times per minute. Write an equati

on in slope-intercept form that represents the situation.

1 answer:

Ganezh [65]3 years ago

4 0

Answer:

$y=7x-513$

Step-by-step explanation:

Let

x----> the temperature in degrees Fahrenheit

y ---->insect chirping rate in times per minute

we have the ordered pairs

(82,61) and (91,124)

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{124-61}{91-82}$

$m=\frac{63}{9}=7$

step 2

Find the equation of the line

we know that

The equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

we have

$m=7$ ---> the units are chirps per minute/degree F

take the point (82,61)

substitute and solve for b

$61=7(82)+b$

$61=574+b$

$b=-513$

substitute

$y=7x-513$

You might be interested in

According to a study done by a university student, the probability a randomly selected individual will not cover his or her mou

VikaD [51]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

$P(X = 8) = 0.0037$

b

$P(X < 5) = 0.805$

c

$P(X > 6) = 0.0206$

I would be surprised because the value is very small , less the 0.05

Step-by-step explanation:

From the question we are told that

The probability a randomly selected individual will not cover his or her mouth when sneezing is $p = 0.267$

Generally data collected from this study follows binomial distribution because the number of trials is finite , there are only two outcomes, (covering , and not covering mouth when sneezing ) , the trial are independent

Hence for a randomly selected variable X we have that

$X \ \ \~ \ \ { B ( p , n )}$

The probability distribution function for binomial distribution is

$P(X = x ) = ^nC_x * p^x * (1 -p) ^{n-x}$

Considering question a

Generally the the probability that among 12 randomly observed individuals exactly 8 do not cover their mouth when sneezing is mathematically represented as

$P(X = 8) = ^{12} C_8 * (0.267)^8 * (1- 0.267)^{12-8}$

Here C denotes combination

So

$P(X = 8) = 495 * 0.000025828 * 0.28867947$

$P(X = 8) = 0.0037$

Considering question b

Generally the probability that among 12 randomly observed individuals fewer than 5 do not cover their mouth when sneezing is mathematically represented as

$P(X < 5 ) =[P(X = 0 ) + \cdots + P(X = 4)]$

=> $P(X < 5 ) =[ ^{12} C_0 * (0.267)^0 * (1- 0.267)^{12-0} + \cdots + ^{12} C_4 * (0.267)^4 * (1- 0.267)^{12-4} ]$

=> $P(X < 5 ) = 0.02406 + 0.10516 + 0.21067 + 0.25580 + 0.20964$

=> $P(X < 5) = 0.805$

Considering question c

Generally the probability that fewer than half(6) covered their mouth when sneezing(i.e the probability the greater than half do not cover their mouth when sneezing) is mathematically represented as

$P(X > 6) = 1 - p(X \le 6)$

=> $P(X > 6) = 1 - [P(X = 0) + \cdots + P(X =6)]$

=> $P(X > 6)=1 - [^{12} C_0 * (0.267)^0 * (1- 0.267)^{12-0}+ \cdots + ^{12} C_4 * (0.267)^6 * (1- 0.267)^{12-6} ]$

=> $P(X > 6)= 1 - [0.02406 + \cdots + 0.0519 ]$

=> $P(X > 6) = 0.0206$

I would be surprised because the value is very small , less the 0.05

8 0

3 years ago

What is the area of a sector with a central angle of 131 degrees and a radius of 7.2 ft?

svetoff [14.1K]

Answer:

162.78

Step-by-step explanation:

Use your π =3.14

3.14 times 7.2 times 7.2

5 0

4 years ago

zhannawk [14.2K]

The applications that will involve percentages include:

Sales Tax
Original Sale Price
Commission
Income Tax

<h3>Which applications involve percentages?</h3>

Sales tax will involve percentage because the sales tax percentage will be needed to calculate the sales tax. The same goes for the income tax.

Commissions also involve percentages as the commission is a percentage of sales. The original sales price can only be acquired by using the discount or markup percentage applied to it to get the current sales price.

Find out examples of commission percentages at brainly.com/question/24951536.

6 0

2 years ago

An albatross can fly 400 kilometers in 8 hours at a constant speed using d as distance and t as number of hours. An equation tha

kow [346]

Answer:

Constant of Proportionality is 50.

Step-by-step explanation:

Albatross can fly 400 kilometers in 8 hours.

'd' represents the distance and 't' represents the number of hours.

The equation $d=50t$ represents the relationship between the distance and time.

Now, in the equation shown above 50 is the constant of proportionality, and 50 represents the rate of change of distance with time.

The constant of proportionality tells us the rate of change between two variables.

So for every 1 hour of time the distance covered is 50 kilometers.

4 0

3 years ago

What’s the answer?????20 points!!!!

jasenka [17]

Answer:

i think 6,300

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers