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bagirrra123 [75]
3 years ago
12

Solve each algebraic equation for the indicated variable10r - 20 = 5r + 35​

Mathematics
1 answer:
Olenka [21]3 years ago
6 0

Answer:

r=11

Step-by-step explanation:

10r - 20 = 5r + 35

-5r. -5r

---------------------------

5r - 20 = 35

+20 = +20

---------------------------

5r = 55

------------

5r. 5

r=11

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A forestry researcher wants to estimate the average height of trees in a forest near Atlanta, Georgia. She takes a random sample
marusya05 [52]

Answer:

The margin of error for her confdence interval is of 0.3757.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 18 - 1 = 17

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 2.8982

The margin of error is:

M = T\frac{s}{\sqrt{n}}

In which s is the standard deviation of the sample and n is the size of the sample.

Standard deviation of 0.55 meters.

This means that s = 0.55

What is the margin of error for her 99% confidence interval?

M = T\frac{s}{\sqrt{n}}

M = 2.8982\frac{0.55}{\sqrt{18}}

M = 0.3757

The margin of error for her confdence interval is of 0.3757.

7 0
3 years ago
Solve for w.<br> 8(w+2) = 40
AleksAgata [21]

Answer:

  w = 3

Step-by-step explanation:

 8 • (w + 2) -  40  = 0

Pulling out like terms :

3.1     Pull out like factors :

  8w - 24  =   8 • (w - 3)

Equation at the end of step  3  :

 8 • (w - 3)  = 0

Step  4  :

Equations which are never true :

4.1      Solve :    8   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.2      Solve  :    w-3 = 0

Add  3  to both sides of the equation :

                     w = 3

One solution was found :

                  w = 3

Processing ends successfully

plz mark me as brainliest :)

7 0
3 years ago
PLEASE HELPP!<br> A square has an area of 5.76cm². Find the perimeter of the square
nikdorinn [45]
The ar. of square =X^
=5.76
So,X=√5.76
=2.4
now, perimeter of square =4(X)
=4(2.4)
=9.6
So, the perimeter of the square is 9.6cm..

Thanks!

Hope it helps you..
4 0
3 years ago
Please help me out!!!!!
olga2289 [7]

Answer:

D. 9

Step-by-step explanation:

9 is the degree of polynomial

3 0
2 years ago
Make x the subject of the formula x/a -b=c
horrorfan [7]

Answer:

x ÷ a - b = c

x a-b both side

x = c(a-b)

or

x = ca - bc

7 0
3 years ago
Read 2 more answers
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