A rope 29 ft long rope is tied to the top of a flag pole. The rope is staked to the ground 21 ft away from the base of the pole.
How tall is the flag pole ?
2 answers:
Answer:
The height of the flag pole is 20 feet .
Step-by-step explanation:
As given
A rope 29 ft long rope is tied to the top of a flag pole.
The rope is staked to the ground 21 ft away from the base of the pole.
As shown in the figure given below.
By using the pythagorean theorem
Hypotenuse² = Perpendicular² + Base²
AC² = AB² + BC²
As
AC = 29 feet
BC = 21 feet
Put in the above
29² = AB² + 21²
841 = AB² + 441
841 -441 = AB²
400 = AB²
AB = 20 feet
Therefore the height of the flag pole is 20 feet .
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Answer:
0.3075 = 30.75% probability that a person will wait for more than 7 minutes.
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.
The standard deviation is the square root of the variance.
In this problem, we have that:
Find the probability that a person will wait for more than 7 minutes.
This is 1 subtracted by the pvalue of Z when X = 7. So
has a pvalue of 0.6915
1 - 0.6915 = 0.3075
0.3075 = 30.75% probability that a person will wait for more than 7 minutes.
Formula for slope is M=y2-y1/x2/x1
Take two points from the graph and insert them into the formula. 13,32 and 7,33 M=32-33/13-7 which equals -1/6 this is already simplified I believe
Answer: -1/6
Sorry if anything is incorrect though.
Take two points from the graph and insert them into the formula. 13,32 and 7,33 M=32-33/13-7 which equals -1/6 this is already simplified I believe
Answer: -1/6
Sorry if anything is incorrect though.
We have these system of inequalities:
In this way, we have two straight lines that can be solved as follows:
This two lines has been plotted in the Figure below and the region of the inequality is indicated in gray color. Therefore, each point in this region satisfies the system of inequalities. To illustrate this, let's take a point within the gray region, say (0, 0):
