True or false: Most proofs in geometry are called direct proofs because theorems and postulates are used to prove a statement us
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Answer:
(a) There are 70 different ways set up 4 computers out of 8.
(b) The probability that exactly three of the selected computers are desktops is 0.305.
(c) The probability that at least three of the selected computers are desktops is 0.401.
Step-by-step explanation:
Of the 9 new computers 4 are laptops and 5 are desktop.
Let X = a laptop is selected and Y = a desktop is selected.
The probability of selecting a laptop is =
The probability of selecting a desktop is =
Then both X and Y follows Binomial distribution.
The probability function of a binomial distribution is:
(a)
Combination is used to determine the number of ways to select <em>k</em> objects from <em>n</em> distinct objects without replacement.
It is denotes as:
In this case 4 computers are to selected of 8 to be set up. Since there cannot be replacement, i.e. we cannot set up one computer twice or thrice, use combinations to determine the number of ways to set up 4 computers of 8.
The number of ways to set up 4 computers of 8 is:
Thus, there are 70 different ways set up 4 computers out of 8.
(b)
It is provided that 4 computers are randomly selected.
Compute the probability that exactly 3 of the 4 computers selected are desktops as follows:
Thus, the probability that exactly three of the selected computers are desktops is 0.305.
(c)
Compute the probability that of the 4 computers selected at least 3 are desktops as follows:
Thus, the probability that at least three of the selected computers are desktops is 0.401.
This is about changing subject of formula.
<u><em>1) Option D</em></u>
<u><em>2) Option B</em></u>
<u><em>3) Option C</em></u>
<u><em>4) Option C</em></u>
<u><em>5) Option B</em></u>
- 1)
x = 10
To solve for x, we need to first multiply both sides by the inverse of the coefficient of x since it is a fraction.
This means we multiply both sides by .
Option D is correct
- 2) We are given the equation;
d = 27.2 - 9.8t
where;
d represents the number of miles she is from home
t represents the number of hours she rides
We are told that she is now 27.2 miles from home.
Since she rides at an average of 9.8 mph, then formula for time is;
t = distance/speed = 27.2/9.8
t = 2.7755
To the nearest hundredth gives;
t = 2.78 hours
Option B is correct
- 3) S = 145t + 85.
t represents months you have saved
This means that the coefficient of t is the amount you saved monthly = $145
And 85 is the amount you started with.
Option C is correct
- 4) From question 3 above, S represents the total amount saved after t months.
Thus, if you have saved $810 after t months, then;
145t + 85 = 810
145t = 810 - 85
145t = 725
t = 725/145
t = 5 months
Option C is correct
- 5) first shirt costs $35 and subsequent ones cost $11.
If the number you can buy is x and max amount to spend is $250, then;
35 + 11x 250
11x 250 - 35
11x 215
x 215/11
x 19.55
There is no decimal shirt and so we pick 19 shirts which is option B
Read more here; brainly.com/question/24657829