Answer:
The average speed is 
Step-by-step explanation:
we know that
To find out the average speed divide the distance by the time
Let
s -----> average speed
d -----> the distance in feet
t ----> the time in minutes

we have


substitute
Simplify

Answer:
0.3575
Step-by-step explanation:
A population with a normal distribution has a mean of 104 and a standard deviation of 15. A sample of 30 items is taken from that population. (a) (4 points) What is the probability of the sample mean is not less than 103?
The probability of the sample mean is not less than 103 means the sample mean is equal to 103
We solve using the z score formula
z = (x-μ)/σ/√n
where
x is the raw score = 103
μ is the population mean = 104
σ is the population standard deviation = 15
n is the random number of sample = 30
z = 103 - 104/15/√30
z = -1/2.7386127875
z = -0.36515
Probability value from Z-Table:
P(x≤ 103) = 0.3575
Therefore, the probability of the sample mean is not less than 103 is 0.3575
The range is the highest value minus the lowest value.
16,000 - 14,000 = 2,000 pounds
1 ton is equal to 2,000 pounds so the weight range would be 1 ton
Answer:
Acute
Step-by-step explanation:
Answer:
The constant of variation is k = -2 ⇒ (B)
Step-by-step explanation:
The equation of the direct variation is y = k x, where
- k is the constant of variation
- The constant of variation k =

The given table has 4 points (-1, 2), (0, 0), (2, -4), (5, -10)
We can use one of the points <em>[except point (0, 0)]</em> to find the value of k
∵ (-1, 2) is a given point
∴ x = -1 and y = 2
∵ k = 
→ Substitute the values of x and y in the relation above
∴ k = 
∴ k = -2
The constant of variation is k = -2