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3 years ago

What is the equation of a line that passes through (7,8) and has a slope of -3

Mathematics

2 answers:

WINSTONCH [101]3 years ago

7 0

You use y=mx+b, then substitute -3 for the slope (m) and 7 for x and 8 for y, after you substitute all those things - use that equation to solve for the b-term - that will give you the y-intercept. Then you will rewrite the equation of the line as y=-3x+(whatever you just found for b).

Komok [63]3 years ago

3 0

It is helpful to first plug this in to point-slope form (note that there are other ways to do this).

Using the form $y-y_1 = m(x-x_1)$ , you get $y-8=-3(x-7)$ . You can simplify this to get $y = -3x+29$ .

Answer choice A

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What’s the surface area of this shape?

rjkz [21]

Answer:

210 in²

Step-by-step explanation:

6*2.5+6*6*2+(8+6)*2.5+10*2.5+1/2*6*8*2+6*2.5= 210 in²

6 0

2 years ago

College students average 8.6 hours of sleep per night with a standard deviation of 35 minutes. If the amount of sleep is normall

Soloha48 [4]

Answer:

4.27%

Step-by-step explanation:

We have been given that college students average 8.6 hours of sleep per night with a standard deviation of 35 minutes. We are asked to find the probability of college students that sleep for more than 9.6 hours.

We will use z-score formula to solve our given problem.

$z=\frac{x-\mu}{\sigma}$

z = z-score,

x = Random sample score,

$\mu$ = Mean,

$\sigma$ = Standard deviation.

Before substituting our given values in z-score formula, we need to convert 35 minutes to hours.

$35\text{ min}=0.58\text{ Hour}$

$z=\frac{9.6-8.6}{0.58}$

$z=\frac{1}{0.58}$

$z=1.72$

Now, we need to find $P(z>1.72)$ .

Using formula $P(z>a)=1-P(z$ , we will get:

$P(z>1.72)=1-P(z$

Using normal distribution table, we will get:

$P(z>1.72)=1-0.95728$

$P(z>1.72)=0.04272$

$0.04272\times 100\%=4.272\%$

Therefore, 4.27% of college students sleep for more than 9.6 hours.

7 0

3 years ago

the brand name of a certain chain of coffee shops has a 53% recognition rate in the town of coffleton. An executive from the com

Degger [83]

This problem can be solve using the Binomial Distribution, it is a recurrence conveyance of the conceivable number of effective results in a given number of trials in each of which there is a similar likelihood of accomplishment.

Let be X: coffleton residents recognize the brand name

n = 10

p = 0.53

q = 0.47

P(X = 4) =

(10)

(4)*(0.53^4)*(0.47^6) = <span>0.00340</span>

7 0

3 years ago

A zookeeper is 6 1/4 feet tall. A young giraffe in his care is 9 3/8 feet tall.

Oksanka [162]

Answer:

25/4 75/8

25/4= 6.25

and 75/8= 9.375

and 9.375/6.25 = 1.5

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Which representation does not show y as a function of x?

Elden [556K]

Answer:

The letter j because the points have to be functioned as a straight line

8 0

2 years ago