Answer:
hmmmmm im not sure
Step-by-step explanation:
Answer:
C.plan B: $300;planA:$60
not completely sure this is the answer but I hope this helps
Step-by-step explanation:
Answer:
8/15 because its 8 odd numbers out of 15 numbers all together
(b) On the average, how many motherboards should be inspected until a motherboard that passes inspection is found?
a. The probability that at least 13 of the next 15 motherboards pass inspection is 0.604.
b. On average, 1.1765 motherboards should be inspected until a motherboard that passes inspection is found.
a.
The formula for the probability of getting exactly k successes in n trials with a success probability of p is:
Where "n choose k" represents the binomial coefficient, which is calculated as n! / (k! * (n - k)!), where "!" denotes factorial.
In this case:
n = 15 (number of trials)
k = 13, 14, 15 (number of successes)
p = 0.85 (probability of success)
First, let's calculate the probability that exactly 13, 14, and 15 motherboards pass inspection.
For k = 13:
= 0.28564
For k = 14:
= 0.23123
For k = 15:
= 0.08735
Now, sum these probabilities to get the final answer:
P(at least 13) = P(X = 13) + P(X = 14) + P(X = 15)
= 0.28564 + 0.23123 + 0.08735
= 0.60422
= 0.604
(b)
The average number of trials needed until a motherboard that passes inspection is found can be calculated using the concept of the expected value of a geometric distribution:
Expected value (E) = 1 / p
Where p is the probability of success.
In this case, p = 0.85.
E = 1 / 0.85
= 1.1765
Thus, on average, 1.1765 motherboards should be inspected until a motherboard that passes inspection is found.
Learn more about the probability here:
#SPJ12
To find the probability that at least 13 of the next 15 motherboards pass the inspection, use the binomial formula for each scenario (13, 14, and 15 passing) and sum the results. To find on average how many motherboards need to be inspected for one to pass inspection, just take the reciprocal of the probability of success (1/0.85).
This question falls under the domain of probability and statistics. Let's tackle each part separately:
(a) When we talk about at least 13 out of 15 motherboards passing, we have to consider the situations where exactly 13, 14, or all 15 pass. For each case, you would use the binomial formula P(X=k) = C(n, k) * (p^k) * ((1-p)^(n-k)). In this formula, n is the number of trials (which is 15), k is the number of successes we are interested in, p is the probability of a success (which is 0.85), C(n, k) is a combination that represents the different ways k successes can happen in n trials. Calculate this for k = 13, 14, and 15 and sum the results to get the probability for at least 13 to pass.
(b) To find on average how many motherboards should be inspected until one passes is straightforward - it is simply the reciprocal of the probability of success which is 1/0.85.
#SPJ3
Answer:
Set builder notation: {a | a ≥ -21}
Interval notation: [-21, ∞)
Step-by-step explanation:
A set represents a collection of things, objects, or numbers. A set builder notation is in the form y = {x | x is an odd number between 8 and 10}, which means y contains all the odd numbers between 8 and 10.
Interval notation is a way to define a set of numbers between a lower limit and an upper limit using end-point values. for example (8, 20) means numbers between 8 and 20.
Given -3a-15≤-2a+6; solving :
-3a - 15 ≤ -2a + 6
-3a + 2a ≤ 6 + 15
-a ≤ 21
dividing through by -1:
a ≥ -21
The solution is:
Set builder notation: {a | a ≥ -21}
Interval notation: [-21, ∞)
$17.4 $19.1 $22.3 $37.1 $43.2 $81.4
a. Determine the mean, median, and the standard deviation. (Round your answers to 2 decimal places.)
Mean $
Median $
Standard deviation $
b. Determine the coefficient of skewness using Pearson
Answer:
Mean= $21.5067
Median = $15.8
Standard deviation= $19.02
Coefficient of skewness= $0.8991
Step-by-step explanation:
Mean =( $4.0 +$6.0 +$7.4+ $10.6 +$12.5+ $13.6+ $15.4+ $15.8 +$16.8
+$17.4+ $19.1 +$22.3+ $37.1 +$43.2 +$81.4)/15
Mean =$ 322.6/15
Mean= $21.5067
Median= middle number
Median = $15.8
Variance=( ($4.0-.$21.5)²+( $6.0. -.$21.5)²+( $7.4 -.$21.5)²+( $10.6 -.$21.5)²+( $12.5 -.$21.5)²+( $13.6. -.$21.5)²+ ($15.4 -.$21.5)²+( $15.8 -.$21.5)²+ ( $16.8 -.$21.5)²+ ($17.4-.$21.5)² +($19.1 -.$21.5)²+ ($22.3 -.$21.5)²+ ($37.1 -.$21.5)²+ ($43.2-.$21.5)²+( $81.4-.$21.5)²)/15
Variance=$ 5424.79/15
Variance=$ 361.65
Standard deviation= √ variance
Standard deviation= √361.65
Standard deviation= $19.02
Coefficient of skewness
=3( mean-median)/standard deviation
= 3(21.5-15.8)/19.02
= 3(5.7)/19.02
= 17.1/19.02
Coefficient of skewness= 0.8991
Standard Deviation=20
Answer:
159 hwqb Step-by-step explanation:2n3wq,brudj32nwqrdb3wndj32wsd
72
3
4
72
51
57
123
18
39
Column 7
Measure
of angle 1
Measure
of angle 2
Measure
of angle 3
of angle 4
Step-by-step explanation:
this is the answer in the picture