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3 years ago

13

The current price of each share of a technology company is $135, If this represents a 16.2% increase over last year what was the

price per share a year ago. Show work and solve using percent of change

1 answer:

Inga [223]3 years ago

8 0

The answer is $116.18. 135 is 116.2% of the previous year.

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"the distribution of means is the correct comparison distribution when"

alexandr402 [8]

The distribution of means is the correct comparison distribution when

Answer: The distribution of means is the correct comparison distribution when there is more than one person in a sample.

The distribution of the sample means is also called the sampling distribution of mean. It is most appropriate when we take a random sample of size n from the population of size N. The distribution of the sample means will follow normal distribution with mean = $\mu$ and standard deviation = $\frac{\sigma}{\sqrt{n}}$

4 0

4 years ago

Find the distance between the points (5,-6), (-3,12)

grigory [225]

Answer:

$\displaystyle d = 2\sqrt{97}$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right<u> </u>

<u>Algebra I</u>

Coordinates (x, y)

<u>Algebra II</u>

Distance Formula: $\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

<u>Step 1: Define</u>

Point (5, -6)

Point (-3, 12)

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance<em> d</em>

Substitute in points [Distance Formula]: $\displaystyle d = \sqrt{(-3-5)^2+(12+6)^2}$
[√Radical] (Parenthesis) Subtract/Add: $\displaystyle d = \sqrt{(-8)^2+(18)^2}$
[√Radical] Evaluate Exponents: $\displaystyle d = \sqrt{64+324}$
[√Radical] Add: $\displaystyle d = \sqrt{388}$
[√Radical] Simplify: $\displaystyle d = 2\sqrt{97}$

8 0

3 years ago

In aâ€‹ lottery, 6 numbers are randomly sampled without replacement from the integers 1 to 50. Their order of selection is not i

nlexa [21]

Answer: 0.444225

Step-by-step explanation:

Given : The total number of tickets = 50

Number of tickets are randomly sampled without replacement =6

Since the order of selection is not important , so we use combinations.

Total number of ways to select 6 tickets = $^{50}C_6$

The number of winning tickets = 6

So, number of tickets that are not winning = 50-6=44

Number of ways of selecting zero winning numbers= $^{44}C_{6}$

Now , the probability of holding a ticket that has zero winning numbers out of the 6 numbers selected for the winning ticket out of the 50 possible numbers would be $\dfrac{^{44}C_{6}}{^{50}C_6}$

$=\dfrac{\dfrac{44!}{6!(44-6)!}}{\dfrac{50!}{6!(50-6)!}}\\\\\\=\dfrac{\dfrac{44\times43\times42\times41\times40\times39\times38!}{38!}}{\dfrac{50\times49\times48\times47\times46\times45\times44!}{44!}}\\\\\\=\dfrac{44\times43\times42\times41\times40\times39}{50\times49\times48\times47\times46\times45}\\\\=\dfrac{252109}{567525}\approx0.444225$

Hence, the required probability = 0.444225

8 0

3 years ago

Meg makes a dot plot for the data 9, 9, 4, 5, 5, 3,<br> 4,5, 3, 8, 8, 5. Where does a gap occur?

Papessa [141]

The gap consists of the values 6 and 7.

Check out the dot plot below to see what I mean. We have one cluster on the left from 3 to 5. Then another cluster on the right from 8 to 9.

6 0

4 years ago

Read 2 more answers

Which equation can be solved by using this system of equations?

Pavel [41]

To solve the two sets of equations simultaneously, subtract one equation from the other to obtain
3x^5 + 2x^2 - 10x + 4 - (4x^4 + 6x^3 - 11) = 0
3x^5 - 4x^4 - 6x^3 + 2x^2 - 10x - 7 = 0

This is a polynomial of degree 5 to be solved for zeros.
A graphing calculator will yield 3 real zeros (verifiable by Descartes Rule of Signs).

8 0

3 years ago