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kotykmax [81]
3 years ago
15

Simply the expression: 52 + 53 - 54 A) -475 B) -350 C) -125 D) 5

Mathematics
1 answer:
stira [4]3 years ago
3 0
<span>52 + 53 - 54 = 51

</span>None of them is the answer
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Eight people are entered in a race. If there are no ties, in how many ways can the first three places come out? a.336 b.368 c.67
Luden [163]
The first thing to do is to calculate how many ways you can choose 3 people from a set of eight.  In order to do this, we need to use the attached formula.
(The letter 'n' stands for the entire set and 'r' stands for the number of objects we wish to choose.)
So we wish to choose 3 people ('r') form a set of 8 ('n')
combinations = n! / r! * (n - r)!
combinations = 8 ! / (3! * 5!)
combinations = 8 * 7 * 6 * 5! / (3!) * (5!)
combinations = 8 * 7 * 6 / 3 * 2
combinations = 56

Now of those 56 combinations, the 3 people can finish in 6 different ways.
For example, persons A, B and C could finish
ABC or ACB or BAC or BCA or CAB or CBA

So to get the TOTAL combinations we multiply 56 * 6 which equals
336 so the answer is (a)


8 0
3 years ago
Consider a binomial distribution of 200 trials with expected value 80 and standard deviation of about 6.9. Use the criterion tha
mote1985 [20]

Answer:

The correct answer is option 'a' : 120 is more than 2.5 standard deviations above the expected value.

Step-by-step explanation:

For an exponential distribution we have

The expected value μ = 80

No of trails n = 200

Thus we have

p=\frac{80}{200}=0.4

The deviation is related to expected value and probability as

\sigma =\sqrt{np(1-p)}\\\\\therefore \sigma =\sqrt{200\cdot 0.4\cdot (1-0.4)}=6.9

Thus the values between the given deviation is

x_{1}=80-2.5\times 6.9=62.75\\\\x_{2}=80+6.9\times 2.5=97.25

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5 0
3 years ago
!!!!!URGENT!!!!!!
nasty-shy [4]

Answer:

hope this helps

Step-by-step explanation:

If you break the fraction into a whole number it would be 5 and 10 minus 5 is 5. so x=5

8 0
2 years ago
Use the function to fill in the blanks in the table.
S_A_V [24]

Answer:

gnrg

Step-by-step explanation:

5 0
3 years ago
Alexis sold boxes of homemade granola bars for $8.50 each. It cost her $2.25 to bake and package each box of granola bars. What
scZoUnD [109]

Answer: 6.25 is her profit

Step-by-step explanation: cost-price= protect

2.25 - 8.50=6.25

4 0
3 years ago
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