Answer:
3rd option is the correct answer
Answer:
y = (1/3)x + 4
Step-by-step explanation:
Two points on this line are (0, 4) and (3, 5).
As we move from the first point to the second, x increases by 3 and y increases by 1. Thus, the slope, m, of the line is m = rise / run = 1/3.
Use the slope-intercept equation: y = mx + b.
If we use the data from the point (0, 4), we get:
4 = (1/3)(0) + b, so that b = 4. The desired equation is y = (1/3)x + 4.
Answer:
240
Step-by-step explanation:
The length is 20 and the width is 12 so you just multiply 20 and 12 together which is 240
Answer:
Each knight will 4.8 hrs spend on guard in one day
Step-by-step explanation:
A castle has to be guarded 24 hours a day 5 knights are ordered to split each day's guard duty equally
Each knights has to guard equally l.e for equal time .
That means 24 hours time has to be equally divided among the 5 knights
= 24 / 5 = 4.8
Each knight will spend on guard in one day = 4.8 hrs
Answer:
0.62% probability that randomly chosen salary exceeds $40,000
Step-by-step explanation:
Problems of normally distributed distributions 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 question:

What is the probability that randomly chosen salary exceeds $40,000
This is 1 subtracted by the pvalue of Z when X = 40000. So



has a pvalue of 0.9938
1 - 0.9938 = 0.0062
0.62% probability that randomly chosen salary exceeds $40,000