Identify the method that will be used to solve for x for each equation. 4x = 20

BaLLatris [955]

Solve for x or y or 1
solving for y
divide both sides by x
y=25/x
not a line because x has t ohave exponent of 1, this one is y=25x^-1

ok, solve for something else
solve for 1
xy/25=1
this doesn't fit into the standard forms of any of the conic sections
if we were to subsitute points we would see it is a hyperbola that is diagonal with the x and y axises as assemtots

it is a hyperbola

5 0

3 years ago

2. In your own words, explain HOW to find the standard deviation of this data set. (20 points) 3. What does the standard deviati

Ket [755]

Answer:

$\sigma = 11.28$ --- Standard deviation

Step-by-step explanation:

Given

See attachment for graph

Solving (a): Explain how the standard deviation is calculated.

Start by calculating the mean

To do this, we divide the sum of the products of grade and number of students by the total number of students;

i.e.

$\bar x = \frac{\sum fx}{\sum f}$

So, we have:

$\bar x = \frac{50 * 1 + 57 * 2 + 60 * 4 + 65 * 3 +72 *3 + 75 * 12 + 77 * 10 + 81 * 6 + 83 * 6 + 88 * 9 + 90 * 12 + 92 * 12 +95 * 2 + 99 * 4 + 100 * 5}{1 + 2 + 4 + 3 +3 + 12 + 10 + 6 + 6 + 9 + 12 + 12 +2 + 4 + 5}$

$\bar x = \frac{7531}{91}$

$\bar x = 82.76$

Next, calculate the variance using the following formula:

$\sigma^2 = \frac{\sum f(x - \bar x)^2}{\sum f}$

i.e subtract the mean from each dataset; take the squares; add up the squares; then divide the sum by the number of dataset

So, we have:

$\sigma^2 = \frac{1 * (50 - 82.76)^2 +...................+ 5 * (100 - 82.76)^2}{91}$

$\sigma^2 = \frac{11580.6816}{91}$

$\sigma^2 = 127.26$

Lastly, take the square root of the variance to get the standard deviation

$\sigma = \sqrt{\sigma^2}$

$\sigma = \sqrt{127.26}$

$\sigma = 11.28$ --- approximated

Hence, the standard deviation is approximately 11.28

Considering the calculated mean (i.e. 82.76), the standard deviation (i.e. 11.28) is small and this means that the grade of the students are close to the average grade.

8 0

2 years ago

Blain exchanges $100 for yen before going to Japan. If each U.S. dollar is worth 88.353 yen, how many yen should Blain receive?

Tcecarenko [31]

To figure out how many yen all ya have to do is multiply 88.353 by 100 to get the answer 8835.3 yen.

5 0

2 years ago

Read 2 more answers

Solve this equation, and show work. worth 40 points.

krek1111 [17]

Answer:

b = - 3

Step-by-step explanation:

Please see the attachment below of the following work.

Thanks! Can I have BRAINLIEST please?

Hope this helps!

4 0

2 years ago

Read 2 more answers

Kristin earns $6.50 for every hour she babysits for the Overstreet family. (Part A:) Last Friday, Kristin babysat for 4.5 hours.

bonufazy [111]

Answer:

The question seems not to be complete, below is a possible complete question:

Kristin earns $6.50 for every hour she babysits for the Overstreet family. Part A: Last Friday, Kristin babysat for 4.5 hours. How much money did she make during that job? $__________ Part B: Mrs. Overstreet has told Kristin that she will pay her $45.50 for tomorrow's babysitting job. How many hours will Kristin babysit then? __________ hours

Answers:

Part A: She makes $29.25

Part B: She babysat for 7 hours

Step-by-step explanation:

Part A:

amount earned per hour = $6.50

Number of hours worked = 4.5 hours

1 hour = $6.50

∴ 4.5 hours = 6.50 × 4.5 = $29.25

part B:

total amount to be earned = $45.50

earning rate = $6.50 per hour

$\$6.50 = 1\ hour\\\$1 = \frac{1}{6.50}\ hour\\\therefore \$45.50 = 45.50 \times\frac{1}{6.50} \\= \frac{45.50}{6.50}\\ = 7\ hours$

7 0

2 years ago