Joe drew this bar model to find the unknown number of balls. find the unknown number? 106 ? = 250
2 answers:
Answer:
144
Step-by-step explanation:
We are given that
106 balls+_=250 balls
We have to find the unknown number of balls in model.
Let x be the unknown number of balls.
To find the unknown number of balls we will use subtraction property of equality.
Substitute the value
This is the algebraic expression for this model
Using subtraction property of equality
Then, we get
After simplification, we get
Hence, the unknown number=144
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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
