Answer:
Step-by-step explanation:
Let x be the random variable representing the mean weight of Adult Golden Retrievers. Assuming the weights are normally distributed(number of samples is greater than 30), we would apply the formula,
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = standard deviation
n = number of samples
From the information given,
µ = 64
σ = 8
n = 35
the probability that the sample mean will be less than 65.5 pounds is expressed as
P(x < 65.5)
For x = 65.5,
z = (65.5 - 64)/(8/√35) = 1.11
Looking at the normal distribution table, the probability corresponding to the z score is 0.8665
Therefore, the probability that the sample mean will be less than 65.5 pounds is 0.8665
The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.
Answer:
a) well we know the hypotenuse and we know that all sides are 90 degrees, and that its an even square, so if we split it into a triangle , we know that the other 2 angles are 45 degrees total, with this we can calculate the other 2 sides, which round to 10 inches.
b) if we know the sides of the first side, knowing the fact that its a square we know that all sides are even, therefore, all sides are 10 inches, the formula the finding the perimeter is basic:
P=L(2) + W(2)
L being length, W being width and P being perimeter
so we add up all 4 sides, here is the equation:
10 + 10 + 10 + 10 = 10 x 4 = 40
With this, we know that the perimeter is 40 inches total
c) knowing how long the sides are, we can figure out the area through another basic formula:
A=L X W
With A meaning Area
since its a square, we know all the sides are even, so the width and length are both 10...
10 X 10 = 100
Step-by-step explanation:
I Hope I Helped!
Answer:
x=5
Step-by-step explanation:
96= 3(6x+2)
distribute 3 by multiplying everything inside the parenthesis by 3
96= 18x + 6
subtract 6 from each side
90=18x
divide each side by 18
5=x
Answer:
45
Step-by-step explanation:
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