If he's studying 3/4 hours more everyday, for Friday it will be 1 + 6/8 = 1 and 3/4 hours or 1 hour and 45 minutes.
Answer:
a) 281 days.
b) 255 days
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:

(a) What is the minimum pregnancy length that can be in the top 8% of pregnancy lengths?
100 - 8 = 92th percentile.
X when Z has a pvalue of 0.92. So X when Z = 1.405.




(b) What is the maximum pregnancy length that can be in the bottom 3% of pregnancy lengths?
3rd percentile.
X when Z has a pvalue of 0.03. So X when Z = -1.88




Add 7 to both sides.
-3y = 9
Divide -3 on both sides.
y = -3
Hope this helps!
The limit of a function is the value that a function approaches as that function's inputs get closer and closer to some number.
The question asks us to estimate from the table:

To find the limit of g(x) as x tends to -2, we need to check the trend of the function as we head towards -2 from both negative and positive infinity.
From negative infinity, the closest value we can get to before -2 is -2.001 according to the values given in the table. The value of g(x) from the table is:

From positive infinity, the closest value we can get to before -2 is -1.999 according to the values given in the table. The value of g(x) from the table is:

From the options, the closest estimate for the limit is 8.03.
The correct option is the SECOND OPTION.
Answer:
1.22 feet, or 1 11/50 ft
Step-by-step explanation:
Find 1/25 th of 30 1/2 feet:
1 61 ft
----- * ---------- = 1.22 feet, or 1 11/50 ft
25 2
The length of the model is 1.22 feet, or 1 11/50 ft