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3 years ago

HELP PLEASE HELP!!!!!!!

Mathematics

1 answer:

Ket [755]3 years ago

3 0

If we are to write this equation in slope-intercept form, it will be in y = mx + b, where m is the slope of the line and b is the y intercept. We need then to find the slope of the line using 2 points on the line and filling in the slope formula to find the slope. One of the points we can use is (0, 3) which is also the y intercept. The y-intercept is found where x = 0. Where x = 0, y = 3. So b = 3. Now for the slope we will use (0,3) and (4,4): $m= \frac{4-3}{4-0} = \frac{1}{4}$ . Using that m value and that b value we have the equation $y= \frac{1}{4}x+3$ . There you go!

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15 points!

Phantasy [73]

Hi there! You are provided with two points, this is all you need to calculate the line's slope.

The equation for slope is:

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

$\frac{10 - 8}{3 - 7} = -\frac{2}{4}$

Slope: -2/4

Point slope form, or y-y1 = m(x - x1). All we have to do is take the x and y coordinates of either point, as well as the slope, and plug them into the equation.

y - 10 = -2/4(x - 3)

Write the equation in slope-intercept form (y=mx+b)

$y - 10 = -2/4(x-3)\\y = -2/4(x-3) + 10\\y = -2/4x + 1.5 + 10\\y = -2/4x + 11.5$

A) -2/4

B) y - 10 = -2/4(x - 3)

C) y = -2/4x + 11.5

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3 years ago

4. Gina deposits $5,692 in a savings account paying 2.73% interest. To the

slava [35]

Answer:

B) 7867

Step-by-step explanation:

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3 years ago

Susan has puppies and chickens as pets. In total, there are 78 legs and 27 pets. How many puppies and how many chickens does Sus

enyata [817]

Answer:

2.89

Step-by-step explanation:

78/27=2.88

6 0

3 years ago

Read 2 more answers

Suppose M is the midpoint of FG. Find each missing measure. #39-47 odd

Eva8 [605]

Answer:

is this geometry?

Step-by-step explanation:

just wondering.

5 0

3 years ago

In microbiology, colony-forming units (CFUs) are used to measure the number of microorganisms present in a sample. To determine

zimovet [89]

Answer:

(a) 0.2650

(b) 0.0111

(d) 0.0006

Step-by-step explanation:

Given that:

In microbiology, colony-forming units (CFUs) are used to measure the number of microorganisms present in a sample.

Suppose that the number of CFUs that appear after incubation follows a Poisson distribution with mean μ = 15. &;

If the area of the agar plate is 75cm²;

what is the probability of observing fewer than 4 CFUs in a 25 cm² area of the plate.

We can determine the mean number of CFUs that appear on a 25cm² area of the plate as follows;

75cm²/25cm² = 3

Since;

mean μ = 15

mean number of CFUs that appear on a 25cm² = 15/3 = 5 CFUs

Thus ; the probability of observing fewer than 4 CFUs in a 25 cm² area of the plate is estimated as:

= P(X < 4)

Using the EXCEL FUNCTION ( = poisson.dist(3, 5, TRUE) )

we have ;

P(X < 4) = 0.2650

b) If you were to count the total number of CFUs in 5 plates, what is the probability you would observe more than 95 CFUs?

Given that the total number of CFUs = 5 plates; then the mean number of CFUs in 5 plates = 15×5 = 75 CFUs

The probability is therefore = P( X > 95 )

= 1 - P(X ≤ 95)

= 1 - poisson.dist(95,75,TRUE) ( by using the excel function)

= 0.0111

c) Repeat the probability calculation in part (b) but now use the normal approximation.

Let assume that the mean and the variance of the poisson distribution are equal

Then;

$X \sim N (\mu = 75 , \sigma^2 = 75)$

We are to repeated the probability calculation in part (b) from above;

So:

P( X > 95 )

use the normal approximation

From standard normal variable table:

P(Z > 2.3094)

Using normal table

P(Z > 2.3094) = 0.0105

(d) Find the difference between this value and your answer in part (b).

So;

the difference between the value in part c and part b is;

= 0.0111 - 0.0105

$= 6*10^{-4}$

= 0.0006 to four decimal places

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4 years ago