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3 years ago

14

Maria solved the equation -5 n = -12. Her answer was n = 2. She is fairly confident about her answer, but wants to do a quick ch

eck of her solution using estimation. Which of the following shows a good check of her answer?

1 answer:

777dan777 [17]3 years ago

3 0

Plug in 2 to see if she is correct. Hope this helps!

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The mathematics faculty at a college consists of 11 professors, 12 associate professors, 7 assistant professors, and 6 instructo

Nikolay [14]

Answer:

The probability of choosing a professor or an instructor is 47.22%.

Step-by-step explanation:

Given that the mathematics faculty at a college consists of 11 professors, 12 associate professors, 7 assistant professors, and 6 instructors, if a faculty member is selected, to find the probability of choosing a professor or an instructor the following calculation must be performed:

11 + 12 + 7 + 6 = 100

11 + 6 = X

36 = 100

17 = X

17 x 100/36 = X

1700/36 = X

47.22 = X

The probability of choosing a professor or an instructor is 47.22%.

8 0

3 years ago

Can somebody prove this mathmatical induction?

Flauer [41]

Answer:

See explanation

Step-by-step explanation:

1 step:

n=1, then

$\sum \limits_{j=1}^1 2^j=2^1=2\\ \\2(2^1-1)=2(2-1)=2\cdot 1=2$

So, for j=1 this statement is true

2 step:

Assume that for n=k the following statement is true

$\sum \limits_{j=1}^k2^j=2(2^k-1)$

3 step:

Check for n=k+1 whether the statement

$\sum \limits_{j=1}^{k+1}2^j=2(2^{k+1}-1)$

is true.

Start with the left side:

$\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}\ \ (\ast)$

According to the 2nd step,

$\sum \limits_{j=1}^k2^j=2(2^k-1)$

Substitute it into the $\ast$

$\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}=2(2^k-1)+2^{k+1}=2^{k+1}-2+2^{k+1}=2\cdot 2^{k+1}-2=2^{k+2}-2=2(2^{k+1}-1)$

So, you have proved the initial statement

4 0

4 years ago

Question 1 (Essay Worth 10 points)

il63 [147K]

Answer:

Part A. x = 1/26 Part B. x = 1/50

Step-by-step explanation:

Solve for x:

26 x = 1

Divide both sides by 26:

Answer: x = 1/26

___________________

Solve for x:

50 x = 1

Divide both sides by 50:

Answer: x = 1/50

8 0

3 years ago

How do i show my work for 18 divided by 16.4?<br><br> plz help

frosja888 [35]

It will just keep going on as a decimal so you do not need to keep going, three spaces after the decimal should be an acceptable answer.

6 0

4 years ago

Read 2 more answers

A package of 8-count AA batteries costs $6.40. A package of 20-count AA batteries costs $15.80. Which statement about the unit p

sdas [7]

Answer:

The unit price of the 20 pack is $0.79 and the unit price for the 8 pack is $0.80.

Step-by-step explanation:

Simply Take the price of the pack of batteries divided by the number within the pack.

$6.40 / 8 == $0.80

$15.80 / 20 == $0.79

Cheers.

5 0

3 years ago