multiply number of pieces by size to find how much she has:
8 x 6.2 = 49.6 feet
Subtract what she has from what she needs to find how much more she has to get:
90-49.6 = 40.4 feet more
Answer:
x = (-36)/5
Step-by-step explanation:
Solve for x:
(-10 x - 6)/2 = 33
Multiply both sides of (-10 x - 6)/2 = 33 by 2:
(2 (-10 x - 6))/2 = 2×33
(2 (-10 x - 6))/2 = 2/2×(-10 x - 6) = -10 x - 6:
-10 x - 6 = 2×33
2×33 = 66:
-10 x - 6 = 66
Add 6 to both sides:
(6 - 6) - 10 x = 6 + 66
6 - 6 = 0:
-10 x = 66 + 6
66 + 6 = 72:
-10 x = 72
Divide both sides of -10 x = 72 by -10:
(-10 x)/(-10) = 72/(-10)
(-10)/(-10) = 1:
x = 72/(-10)
The gcd of 72 and -10 is 2, so 72/(-10) = (2×36)/(2 (-5)) = 2/2×36/(-5) = 36/(-5):
x = 36/(-5)
Multiply numerator and denominator of 36/(-5) by -1:
Answer: (-36)/5
Answer: 0.3679
Step-by-step explanation:
The formula for Poisson distribution :-
Let x be the number of breakdowns.
Given : The rate of breakdown per week : 0.5
Then , for 2 weeks period the number of breakdowns =
Then , the probability that there will be no breakdown on his car in the trip is given by :-
Hence, the required probability : 0.3679
Answer:
36.88% probability that her pulse rate is between 69 beats per minute and 81 beats per minute.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Find the probability that her pulse rate is between 69 beats per minute and 81 beats per minute.
This is the pvalue of Z when X = 81 subtracted by the pvalue of Z when X = 69.
X = 81
has a pvalue of 0.6844
X = 69
has a pvalue of 0.3156
0.6844 - 0.3156 = 0.3688
36.88% probability that her pulse rate is between 69 beats per minute and 81 beats per minute.