Answer:
a.) 10 months
b.) Kool Karate
c.) Karate Klub
Step-by-step explanation:
Karate Klub : y=25x+200
Kool Karate : y=35x+100
A.) First, set the equations equal to each other then solve for x.
take away 100 from both sides
take away 25x from both sides
divide 10 from both sides so x can be by itself and equal to 1
This means that at 10 months, the cost is the same for both.
B.) Substitute 6 for x in both equations
Karate Klub :
Kool Karate :
The cost for Kool Karate is cheaper, so that is what he should join.
C.) Substitute 12 for x in both equations.
x=12 because there are 12 months in a year.
Karate Klub:
Kool Karate:
The cost for Karate Klub is cheaper, so that is what he should join.
Answer:
The mean is 15.93 ounces and the standard deviation is 0.29 ounces.
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.
7% of the bottles containing this soft drink there are less than 15.5 ounces
This means that when X = 15.5, Z has a pvalue of 0.07. So when X = 15.5, Z = -1.475.
10% of them there are more than 16.3 ounces.
This means that when X = 16.3, Z has a pvalue of 1-0.1 = 0.9. So when X = 16.3, Z = 1.28.
From above
So
The mean is
The mean is 15.93 ounces and the standard deviation is 0.29 ounces.
Answer:
the answer is 4
Step-by-step explanation:
Answer:
6^2 - (3*-4)+20
6^2 - (-12)+20
36+12+20
48+20
68
Let me know if this helps!