Answer:
0.7392 = 73.92% probability of obtaining a value less than 45 or greater than 49.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean 47 and standard deviation 6
This means that 
Less than 45:
p-value of Z when X = 45, so:
has a p-value of 0.3696.
More than 49:
1 subtracted by the p-value of Z when X = 49. So
has a p-value of 0.6304.
1 - 0.6304 = 0.3996
Less than 45 or greater than 49:
2*0.3696 = 0.7392
0.7392 = 73.92% probability of obtaining a value less than 45 or greater than 49.
Answer:
yes :
use the following formula :
a^2 +b^2 = c^2
now apply it to the problem :
5^2+12^2=13^2
do the exponent :
25 + 144 =169
now add
169 =169
if they are equal , then it is a right triangle .
The graph of g(x) = f(-5x+10) is given in the figure.
<h3>What is a graph?</h3>
A diagram showing the relation between two variable quantities,each measured along one of a pair of axes at right angles.
It is given that f(x) = x^2
and g(x ) = f(-5x+10)
Now putting the value of f(x) in g(x) we get,
g(x) = f(-5x+10) = (-5x+10)^2
So, g(x) = (-5x+10)^2
now, making the table for g(x),
<u><em>x </em></u><u>g(x)</u>
0 100
1 81
2 0
3 25
4 100
5 225
Hence,the graph of g(x) = f(-5x+10) is given in the figure.
More about graph :
brainly.com/question/11616742
#SPJ1
You want to leave a 15% tip on a meal that cost $65.00.
First, convert the 15% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 15%) by 100%.So, the conversational term "15%" becomes 15% / 100% = 0.15 in terms of a real mathematical number.
Second, you need to find out what 15% of your $65.00 meal cost is.This is always done by multiplying 0.15 by $65.00, or
0.15 x $65.00=$9.75.
So, the amount of tip you are going to leave is $9.75.
This makes the total cost of your meal (to write on your charge slip or other payment)
$65.00 + $9.75 = $74.75.
