Four point one nine three. Answer
Answer:
400
Step-by-step explanation:
There are 599 numbers from 1 to 599.
There are
INT(599/4) = 149 numbers divisible by 4 and
INT(599/6) = 99 numbers divisible by 6,
However, some of these numbers have been counted twice. For example, 12 is counted twice, because 12 is divisible by both 4 and 6. There are
INT(599/12) = 49 numbers divisible by 12.
599 numbers
-149 divisible by 4
- 99 divisible by 6
<u>+49 double-counts
</u>
400 numbers not divisible by 4 or 6.
Solution: We are given that the grade point average of undergraduate students at one university have a normal distribution, with mean, standard deviation,
We have to find the percentage of the students whose grade point averages are no more than 3.36, i.e., P(x<3.36).
We need to first find the z-score.
Now we have to find . Using the empirical rule, we know that 97.5% data lies below 2 standard deviations above mean.
Therefore, using the empirical rule, 97.5% of the students have grade point averages that are no more than 3.36.
the equation of line that is perpendicular to 2x+y=3 & passes through points (2,-5) is:
Step-by-step explanation:
Given equation of line is:
Let m1 be the slope of given line and
m2 be the slope of line perpendicular to given line
The slope of first line will be (The coefficient of x)
m1 = -2
We know that the product of slopes of two perpendicular lines is -1
So,
slope-intercept form is:
Putting the value of slope we get
Putting the point in the equation
Putting the value of b
Hence,
the equation of line that is perpendicular to 2x+y=3 & passes through points (2,-5) is:
Keywords: slope, Equation of line
Learn more about equation of line at:
#LearnwithBrainly
Answer:
t = -d/50 + 2
0.5 hour
Step-by-step explanation:
Given the equation:
d = 50 - 100t
The inverse function:
A.) solving for t
d = 100 - 50t
d - 100 = - 50t
Divide both sides by - 50
d/-50 - (100/-50) = - 50t/-50
-d/50 - (-2) = t
t = -d/50 + 2
B) using the inverse function:
t = -d/50 + 2
Miles driven (d) = 75, find time (t)
t = - 75/50 + 2
t = - 1.5 + 2
t = 0.5
t is in hours, therefore time left to travel is 0.5 hours or 30 minutes