Answer:
a. 0.38%
b. 266.75 days
Step-by-step explanation:
We have the following data, mean (m) 269 and standard deviation (sd) 15, therefore:
a. The first thing is to calculate the number z:
z (x) = (x - m) / sd
z (309) = (309-269) / 15 = 2.67
When looking in the normal distribution table (attached), we have that at this value of z, the probability is:
P (z> 2.67), that is to say we must look in the table -2.67 and this value corresponds to 0.0038, that is to say 0.38%
b. Find the z-value with a left tail of 44%, i.e. 0.44. We look in the table for this value and what value of z corresponds.
invNorm (0.44) = -0.15
Find the corresponding number of days:
x = z * sd + m
we replace
d = -0.15 * 15 + 269 = 266.75 days
Answer:
c. 2
Step-by-step explanation:
Given : X = No. of hours worked
No. of people work for the manager = 50
X = 3, 4 , 5 , 6 , 7, 8
P(X) = 0.1 , ? , 0.14 , 0.3 , 0.36 , 0.06
To Find : No. of people work for four hours
Solution : First understand the fact that sum of all probabilities is equal to 1
So, sum of all values of P(X) = 1
⇒
⇒
⇒
⇒
So, the probability of no. of people worked for 4 hours is 0.04.
⇒P(4)=0.04
Thus , To calculate no. of people work for four hours :
⇒ 2 no. of people work for four hours per shift .
Answer:
D-- if a is a number between 0 and 1, the quotient will be greater
Step-by-step explanation:
S = sally C = Chris J = Joe
sally is one year older than 3 times the age of joe, so
s = 3j + 1
chris is 5 years younger than 6 times the age of jo, so
c = 6j - 5
sally and chris are the same age so
s = c so
3j + 1 = 6j - 5
-3j -3j
1 = 3j - 5
+5 +5
6 = 3j or
3j = 6
3j/3 = 6/3
j = 2
check
s = c
3(2) +1 = 6(2) - 5
6 + 1 = 12 - 5
7 = 7 correct✅
First side is = x
Second side is = 3x-3
Third side is = 44x - 66
Perimeter = Sum of sides
P = x + 3x + 44x -66 -3
P = 48x - 69
