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stira [4]
3 years ago
6

Write the equation of a line in slope intercept form that has a slope of 1/5 and contains (-10,6)

Mathematics
1 answer:
VLD [36.1K]3 years ago
5 0

Answer:

y = \frac{1}{5} x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = \frac{1}{5}, hence

y = \frac{1}{5} x + c ← is the partial equation

To find c substitute (- 10, 6) into the partial equation

6 = - 2 + c ⇒ c = 6 + 2 = 8

y = \frac{1}{5} x + 8

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Yall please help me!!!I need to know the answer soon!yall please
tankabanditka [31]

Answer:

108

Step-by-step explanation:

<u>find the volume of the cooler</u>:

V=πr²h

π×6²×16= 1809.56

<u>find the volume of the cup</u>:

V=πr²(h/3)

π×2²×(4/3)= 16.76

<u>divide the volume:</u>

1809.56/16.76= 107.969

Assuming that the cooler is full to the max, and cups are filled almost to the top, the cooler contains 108 cups of water.

5 0
3 years ago
A certain test preparation course is designed to help students improve their scores on the LSAT exam. A mock exam is given at th
OlgaM077 [116]

Answer:

Interval [16.34 , 21.43]

Step-by-step explanation:

First step. <u>Calculate the mean</u>

\bar X=\frac{(23+18+23+12+13+23)}{6}=18.666

Second step. <u>Calculate the standard deviation</u>

\sigma =\sqrt{\frac{(23-18.666)^2+(18-18.666)^2+(23-18.666)^2+(12-18.666)^2+(13-18.666)^2+(23-18.666)^2}{6}}

\sigma=\sqrt\frac{18.783+0.443+18.783+44.435+5.666+18.783}{6}

\sigma=\sqrt{17.815}=4.22

As the number of data is less than 30, we must use the t-table to find the interval of confidence.

We have 6 observations, our level of confidence DF is then 6-1=5 and we want our area A to be 80% (0.08).  

We must then choose t = 1.476 (see attachment)

Now, we use the formula that gives us the end points of the required interval

\bar X \pm t\frac{\sigma}{\sqrt n}

where n is the number of observations.

The extremes of the interval are then, rounded to the nearest hundreth, 16.34 and 21.43

6 0
3 years ago
What’s the answer for 3n-6=33 I have to solve for n
dezoksy [38]

Answer:

n=13

Step-by-step explanation:

3n-6=33

Add 6 to both sides

3n=39

Divide both sides by 3

n=13

7 0
3 years ago
Read 2 more answers
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Vika [28.1K]

Answer:

Guys his answer is wrong. It’s 5.50 in edg

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
If on January 1,2015 you decide to read one thousand and one night over the next 1,001 night an which date would you finally fin
SVETLANKA909090 [29]
Starting January 1, 2015, there are 364 remaining nights.
From 1,001 nights, it will be 637 nights left.

In 2016, there are 366 nights. Subtract it to 637 nights left, you will get 271 nights left.
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From January to August, the nights left is 28.
<span>
So the date will be September 28, 2017.</span>
6 0
3 years ago
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