Um I can't answer without an image
V=<12,5>
Magnitude
|v| = sqrt(12^2+5^2) = 13
Direction
theta
= atan2(5,12)
= atan(5/12)
= 22.62 degrees
Answer:
Total distance = 5.754 km
Step-by-step explanation:
Red lines of the right triangle show the layout of the race course.
Total length of the race course = Perimeter of the triangle
Perimeter of the triangle = Sum of the measures of all three sides
= 1.83 + 1.524 + 2.4
= 5.754 km
Therefore, total distance of the race course is 5.754 km.
Answer:
The mean is 15.93 ounces and the standard deviation is 0.29 ounces.
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.
7% of the bottles containing this soft drink there are less than 15.5 ounces
This means that when X = 15.5, Z has a pvalue of 0.07. So when X = 15.5, Z = -1.475.
10% of them there are more than 16.3 ounces.
This means that when X = 16.3, Z has a pvalue of 1-0.1 = 0.9. So when X = 16.3, Z = 1.28.
From above
So
The mean is
The mean is 15.93 ounces and the standard deviation is 0.29 ounces.
Answer:
No
Step-by-step explanation:
Let's solve your equation step-by-step.
−2x−6=2x+6
Step 1: Subtract 2x from both sides.
−2x−6−2x=2x+6−2x
−4x−6=6
Step 2: Add 6 to both sides.
−4x−6+6=6+6
−4x=12
Step 3: Divide both sides by -4.
−4x/−4 = 12/-4
=
x=−3