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wlad13 [49]
3 years ago
7

1. Kevin has 20 pieces of candy in a bag: 12 mint sticks, 3 jelly treats, and 5 fruit tart chews. If he eats one piece every 6 m

inutes, what is the probability his first two pieces will both be mint sticks?
Mathematics
1 answer:
Musya8 [376]3 years ago
6 0
12/20
Because 12 is the number of mint sticks and their asking you whats the outcome of picking two mint sticks out of 20 peices of candy
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Jada earned a 7% commission on a $500 sale of a boat. How much was her commission?
iogann1982 [59]

Answer:

$35

Step-by-step explanation:

To solve this problem you need to know how what and how is percentage work.

Percentage(%) is a unit that equals to 1/100 or one hundredths. So, 7% will be equal to 7*1/100= 7/100. The commission is given based on the price of the boat. If the boat sold at $500 the commission will be:

commission= percentage * boat price

commission= 7/100 * $500

commission= $35

5 0
3 years ago
Which is the definition of an angle
zlopas [31]

Answer:

Step-by-step explanation:

the space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet.

5 0
4 years ago
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What is true of the coefficient of​ variation?
DedPeter [7]

Answer:

A. The coefficient of variation is best used when comparing two data sets that use the same units of measure.

Step-by-step explanation:

The coefficient of variation (CV), is simply the standard deviation (itself a measure of variance or variation) relative to the mean of a distribution.

The coefficient of variation expresses a random variable’s variability in percentage terms. Therefore it is possible, through the coefficient of variation, to compare the variability of data across different samples, especially if the random variables are recorded in different units of measurement (such as cm, kg and minutes).

A coefficient of variation is always interpreted as a percentage. <u>Mathematical representation is:</u>

Coefficient\ of\ variation\ = \frac{Standard\ deviation}{Mean}\ \%

The coefficient of variation is best used when comparing two data sets that use the same units of measure.

Hence, the option (A) is the correct option.

5 0
3 years ago
"Bill’s nominal income in 1990 was $1,009 per month. The CPI had a value of 149 in 1990 and had a value of 192 in 2017. What is
Bas_tet [7]

Answer:

$677.18

Step-by-step explanation:

Data provided in the question:

Bill’s nominal income in 1990 = $1,009 per month

CPI value in the year 1990 = 149

CPI value in the year 2017 = 192

Now,

The Consumer price index ( CPI ) is given as :

CPI = \frac{\textup{Cost of basket in the current year}}{\textup{Cost of basket in the base year}}\times100

thus,

for the given case of year 1990

149 = \frac{\textup{1,009}}{\textup{Real income in the year 1990}}\times100

or

Real income in 1990 = \frac{\textup{1,009}}{\textup{149}}\times100

or

Real income in 1990 = $677.18

4 0
3 years ago
Find an equation of a plane containing the line r = ⟨−5, 1, 0⟩ + t ⟨7, −8, 4⟩ which is parallel to the plane 4x + 1y −5z = −24.
Ipatiy [6.2K]

1-Find an equation of the plane.

The plane that passes through (8,0,-1)

and contains the line x=4-4t , y=1+5t , z=4+2t

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

2-Find an equation of the plane.

The plane that passes through the point (-2,2,2)

and contains the line of intersection of the planes

x+y-z=3 and 3x-y+5z=5

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

3-Find an equation of the plane.

The plane that passes through the line of intersection of the planes x-z=1 and y+2z=2

and is perpendicular to the plane x+y-4z=3

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

4-Where does the line through

<span>(1, 0, 1) and (4,-2,3)intersect the plane</span><span>x + y + z = 8 ?</span>
8 0
3 years ago
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