Answer:
Step-by-step explanation:
5 red
3 blue
6 white
2 green
total 16 marbles.
Note: P(E) = probability of event E happening
P(~E) = probability of event E NOT happening.
We usually leave probabilities in fractions whenever possible because they will not be subject to round-off errors.
A. choose one marble at random.
P(W) = 6 white / 16 total = 3/8
B. choose one marble at random.
P(~R) = (16-5)/16 = 11/16
C. choose one marble at random, then a second one without replacement,
there will be 3 blue out of 16 at the beginning, then if successful, there will be 2 blue out of 15.
P(BB) = (3/16)*(2/15) = 1 / 40
D. choose two with replacement
5 red out of 16 for first draw, still 5 red out of 16 for second draw.
P(RR) = (5/16)^2 = 25/256
Answer:
Suit: $13; Shoes: $8
Step-by-step explanation:
Represent the unknowns (which are commissions on the sale of suits and shoes) by u and h.
The associate earned a commission of $47 the first week. That $47 represents the sum of the commission earned from selling suits and the commission earned from selling shoes.
We can represent this fact as follows:
3u + 1h = $47 (3 times the commission for selling 1 suit)
The appropriate equation describing the situation in the second week follows:
7u + 2h = $107
Now we have two linear equations in two unknowns, enough to enable us to calculate the commissions on selling suits and shoes.
3u + 1h = $47
7u + 2h = $107
We are to solve this system using the substitution method. The easiest approach here is to solve the first equation for h: h = $47 - 3u
and
then replace h in the second equation by $47 - 3u:
7u + 2($47 - 3u) = $107
Performing the indicated multiplication, we get 7u + $94 - 6u = $107
Simplifying this results in u + $94 = $107, and subtracting $94 from both sides reduces this equation to u = $13.
Thus, the commission on selling a suit is $13.
The commission on selling a pair of shoes is obtained from subbing $13 for u in the very first equation (3u + 1h = $47): 3($13) + h = $47. Subtracting $39 from both sides results in $8 = h. The commission on selling a pair of shoes is $8.
Answer:
Data set B would have flatter distribution with more data in each tail.
Step-by-step explanation:
We are given the following in the question:
Data set A has a smaller standard deviation than data set B.
Standard Deviation:
- It is a measure of dispersion of data.
- It tells us about how much the data deviates around the mean.
- It tells us about the overall deviation of the data from the mean.
- The standard deviation is small when the data are all close to the mean showing less variation.
- The standard deviation is larger when the data values are farther away from the mean, showing more variation.
Since data A has less standard deviation than data B, then data B has a flatter graphical representation as more of the data are present on the tails.
The coldest temperature is the negative value furthest away from 0.
-10 would be the answer.
Answer:
24 ft.
Step-by-step explanation:
Volume (V) equals the product of length (l), width (w), and height (h)
V = l × w × h
Plug in the measurement you have into the equation
11232 = 13 × w × 36
Multiply 13 and 36
11232 = 468 × w
Divide both sides by 468
24 = w
