Area=1/2bh
h=altitude
b=legnth of base
b is 3 times h
b=3h
divide by 3
b/3=h
area=1/2bh
subsitute b/3 for h
54=1/2(b)(b/3)
multiply bothsides by 2/1
108=b(b/3)
108=(b^2)/3
multipy both sides by 3
324=b^2
square root boh sides
18=b
legnth of base=18
Answer:
im not sure but i think it is -7
Step-by-step explanation:
i think so just because looking at the top example but i might be wrong
Answer:
the graph... it's slope is |2| and the chart is |1|
the absolute values are there because the questions only says "how steep"
not the direction
Step-by-step explanation:
Answer:
The simplest form of the function is f(x) = x2. The graph is a parabola often called the basic parabola. Notice that the graph is symmetrical about the y- axis. The y- axis is called the axis of symmetry of this function
Answer:
18.67% probability that the sample proportion does not exceed 0.1
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.
For the sampling distribution of a sample proportion, we have that 
In this problem, we have that:

What is the probability that the sample proportion does not exceed 0.1
This is the pvalue of Z when X = 0.1. So



has a pvalue of 0.1867
18.67% probability that the sample proportion does not exceed 0.1