Question 9// y =31-- you just using geometric properties of angles to solve this i cant explain more than that because 9th grade was so long ago
Hello,
Meredith has k toys and Gazali too
Meridith gives 20/100 * k
Gazali gives 85/100*k
So they gives 105/100 * k toys which is 126
105/100 *k=126
k=126*100 /105
They have left alltogether 80/100 * k + 15/100 *k= 95/100 *k
95/100*k=95/100* 126*100/105=114 (toys left).
Mu = mean = 25
sigma = standard deviation = 5.5
Compute the z score for x = 19.5
z = (x-mu)/sigma
z = (x-25)/5.5
z = (19.5-25)/5.5
z = -1
Compute the z score for x = 30.5
z = (x-mu)/sigma
z = (x-25)/5.5
z = (30.5-25)/5.5
z = 1
Therefore, P(19.5 < X < 30.5) is the same as P(-1 < Z < 1) which asks "what is the area under the standard normal curve from z = -1 to z = 1?"
By the Empirical Rule, roughly 68% of the normal distribution is between z = -1 and z = 1. In other words, 68% of the normally distributed population is within one standard deviation. The z-scores help keep track how far you are in terms of standard deviations.
Final Answer: Choice B) 68%
Answer: The value of z is -1.75.
Step-by-step explanation:
Given: P(Z<z)=0.04
To find the value of z such that 0.04 of the area lies to the left of z.
We will use z-score table to get the value of z here.
IN z-score table, we have
For P(Z<-1.7507)=0.04
Hence, the value of z is -1.7507.
Its approximate value is -1.75
So the final answer is z=-1.75.