<span>Polygon ABCD is a parallelogram
m<ABC = m<ADC = 127
360 - 2(127) = 360 - 254 = 106
m<BCD = m<BAD = 106/2 = 53
</span>P = 2(10 + 5) = 2(15) = 30
answer
<span>The perimeter of the parallelogram is 30 units, and </span>m<BCD is 53°
Answer:
Expected value = 190
Variance = 4000
Step-by-step explanation:
Let X be the number of the trials until the third success of the bad pump.
This implies that X is a negative binomial distribution
having θ = 20% = 0.2.
Now, if for example it will take X trials to use up the three pumps, then the total time is 10 min/trials + extra 10 minutes for the 3 bad pumps
This means the total time is written as;
T = 10X + (10 + 10 + 20)
T = 10X + 40
Mean which is also expected value of X is;
μ_x = 3/0.2 = 15
Variance of X is; σ²_x = 40
Thus;
Mean of T will be;
μ_T = 10μ_x + 40
μ_T = 10(15) + 40
μ_T = 190
Also, variance of T will be;
σ²_T = 10²•σ²_x
σ²_T = 100 × 40
σ²_T = 4000
5300 liters x .26 liter/gallon = 1378 gallons. This is what you need to hold in gallons
<span>Then 1378 gallons/ 60 gallons/drum= 22.96 drums. </span>
<span>Since each can only hold 60 gallons maximum you round up to 23 drums
hope this helped!!</span>
Answer:
Neither
Step-by-step explanation:
This is a linear function as opposed to an exponential function as there are no x terms in higher powers.
Answer:
a) P(X<50)=0.9827
b) P(X>47)=0.4321
c) P(-1.5<z<1.5)=0.8664
Step-by-step explanation:
We will calculate the probability based on a random sample of one moped out of the population, normally distributed with mean 46.7 and standard deviation 1.75.
a) This means we have to calculate P(x<50).
We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:
b) We have to calculatee P(x>47).
We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:
c) If the value differs 1.5 standard deviations from the mean value, we have a z-score of z=1.5
So the probability that maximum speed differs from the mean value by at most 1.5 standard deviations is P(-1.5<z<1.5):
