Answer:
The difference between the times is just 6.09
Step-by-step explanation:
Here, we are interested in finding the difference between the times when two athletes finished their races.
While one finished at 24.53, the other finished at 18.44; So the difference between the two will be calculated by subtracting the time which was less from the time which was more;
Mathematically, that would be 24.53 - 18.44 = 6.09
Answer:
∠4 = 78°, assuming out measurements have been taken in degrees.
Step-by-step explanation:
If ∠2 = 8x + 10 and
∠4 = 42 + 6x
We will assume that x in both cases is represented by the same number, therefore, we will first need to solve for x. We will do so by equating both angle measurement expressions.
8x + 10 = 42 + 6x Take away 6x from both sides
2x + 10 = 42 Take 10 away from both sides to combine like terms
2x = 32 Divide both sides by 2 to isolate x
x = 16
Knowing x, we can solve for the measure of ∠4 by plugging in 16 for x
∠4 = 42 + 6x
∠4 = 42 + 6(6)
∠4 = 42 + 36
∠4 = 78°, assuming out measurements have been taken in degrees.
Answer:
Step-by-step explanation:
WE willl solve the question for the following equation
1. Add 8c on both sides
2. Add 10 on both sides
3. Substract 2c on both sides
4. Divide both sides by 2
Then, the equation is solved.
Answer:
And for this case we know this condition:
By the complement rule we know that:
But since the distribution is symmetrical we know that:
So then the statement for this case is FALSE.
b. False
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
For this case if we define the random variable of interest X and we know that this random variable follows a normal distribution:
And for this case we know this condition:
By the complement rule we know that:
But since the distribution is symmetrical we know that:
So then the statement for this case is FALSE.
b. False
Answer:
Obtuse, scalene.
Step-by-step explanation:
In ΔSVU, one angle is 120° which is obtuse angle.
So, ΔSVU is a obtuse triangle.
All the sides have different measurements. So, It is a Scalene triangle.