All categories

3 years ago

Write the equation of the line that passes through the point (5, 6) and a slope of -2

Mathematics

1 answer:

mina [271]3 years ago

3 0

Answer:

y = -2x + 16

Step-by-step explanation:

So first you plug in the values you know into the slop int. form, equation, in which it is y = mx +b. When you plug in the slope value then you will get the equation of y = -2x +b, in which then you have to solve for the b value.

In order to solve for the b value, you then plug in the x and y values of the coordinate that is given so what you would do is this: 6 = -2(5) +b

6 = -10 +b

16 = b

So then you find out b is 16 in which you just plug back into the equation. So finally you write the equation, y = -2x+16.

You might be interested in

If you have 10 red, 10 blue, 10 orange and 10 black socks in a drawer, how many socks must you pull out of the drawer (assume it

Orlov [11]

Answer:

Step-by-step explanation:

The probability of u choosing two orange socks from the sock drawer WITHOUT REPLACEMENT:

= P(the first one is Orange) * P(the second one is Orange)

= 10/40 * 9/39 = 3/52.

6 0

3 years ago

Evaluate the problem f(×)=1-3×

BaLLatris [955]

Answer:

x = 1/3

Step-by-step explanation:

4 0

3 years ago

The cost of Internet access. How much do users pay for Internet service? Here are the monthly fees (in dollars) paid by a random

Ivanshal [37]

Answer:

$20.9-2.01\frac{7.65}{\sqrt{50}}=18.73$

$20.9+2.01\frac{7.65}{\sqrt{50}}=23.07$

The 95% confidence interval would be given by (18.73;23.07)

Step-by-step explanation:

Assuming these data

20 40 22 22 21 21 20 10 20 20

20 13 18 50 20 18 15 8 22 25

22 10 20 22 22 21 15 23 30 12

9 20 40 22 29 19 15 20 20 20

20 15 19 21 14 22 21 35 20 22

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

First we need to find the sample mean with the following formula:

$\bar X= \frac{\sum_{i=1}^n X_i}{50}=20.9$

And in order to find the sample standard deviation we can use the following formula:

$s= \sqrt{\frac{\sum_{i=1}^n (x_i -\bar x)^2}{n-1}}=7.65$

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=50-1=49$

Since the Confidence is 0.95or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,49)".And we see that $t_{\alpha/2}=2.01$

Now we have everything in order to replace into formula (1):

$20.9-2.01\frac{7.65}{\sqrt{50}}=18.73$

$20.9+2.01\frac{7.65}{\sqrt{50}}=23.07$

So on this case the 95% confidence interval would be given by (18.73;23.07)

8 0

3 years ago

So helppp plsssssssssssssss

Readme [11.4K]

Answer:

Step-by-step explanation:

Trust in knowledge Young Padawan

8 0

3 years ago

Read 2 more answers

Lin sold 4 more shirts than Greg. Fran sold 3 times as many shirts as Lin. In total the three sold 51 shirts. Which represents t

Alex17521 [72]

<span>Your Answer: D

Why....

You can make equations out of the information
Let L be Lin, G be Greg, and F be Fran

L = 4 + G ---"Lin sold 4 more shirts than Greg"
F = 3L ---"Fran sold 3 times as many shirts as Lin"
F + G + L = 51 ---"In total the three sold 51 shirts"

Use F + G + L = 51
Substitute the equations in for F and L (because you need to know the G) like this....

(3L) + G + (4+G) = 51

You still have a variable besides G in there... you can use the L= 4+G and substitute again so that there are only G's

( 3(4+G) ) + G + (4+G) = 51 ---- SIMPLIFY :D
( 12 + 3G ) + G + 4 + G = 51
12 + 3G + G + 4 + G = 51 ---Combine like terms
16 + 5G = 51 </span>

6 0

4 years ago