Answer:
The percentage of samples of 4 fish will have sample means between 3.0 and 4.0 pounds is 66.87%
Step-by-step explanation:
For a normal random variable with mean Mu = 3.2 and standard deviation sd = 0.8 there is a distribution of the sample mean (MX) for samples of size 4, given by:
Z = (MX - Mu) / sqrt (sd ^ 2 / n) = (MX - 3.2) / sqrt (0.64 / 4) = (MX - 3.2) / 0.4
For a sample mean of 3.0, Z = (3 - 3.2) / 0.4 = -0.5
For a sample mean of 3.0, Z = (4 - 3.2) / 0.4 = 2.0
P (3.2 <MX <4) = P (-0.5 < Z <2.0) = 0.6687.
The percentage of samples of 4 fish will have sample means between 3.0 and 4.0 pounds is 66.87%
Step-by-step explanation:
believe it or not, the area of any triangle is
baseline × height / 2
we have here 2 triangles, both with the same baseline (8 cm), but with 2 different heights : 6.5 cm and 4.6 cm.
so, their areas are
8 × 6.5 / 2 = 4 × 6.5 = 26 cm²
8 × 4.6 / 2 = 4 × 4.6 = 18.4 cm²
so, in total, the shaded region is
26 + 18.4 = 44.4 cm²
<span>ow far does the first car go in the 2 hours head start it gets?
Now, at t = 2 hours, both cars are moving. How much faster is the second car than the first car? How long will it take to recover the head start? You can determine this by dividing the head start by the difference in the two speeds. If car 1 has a 20 mile head start, and car 2 is 5 mph faster, then it will take 20/5 = 4 hours to catch up.
</span>You could also write two equations, one for each car, showing how far they have gone in a variable amount of time. Set the two equations equal to each other and solve for the value of the time. Note that the second car's equation will use (t-2) for the time, because it doesn't start driving until t = 2.
Answer:
Option (1)
Step-by-step explanation:
Given question is incomplete; find the picture of the graph in the attachment.
Parent function f(x) = 
When function 'f' is translated by 4 units up which is evident form the graph, the translated function obtained is,
g(x) = f(x) + 4
g(x) = 
Therefore, Option (1). [Translation of 4 units up] is defined by the graph attached.
Answer: 1/2
Step-by-step explanation: To find out what fraction is greater, notice that the fractions that we're comparing in this problem have different denominators.
When fractions have different denominators, they're called unlike fractions.
To compare unlike fractions, we must first get a common denominator. The common denominator of 2 and 12 will be the least common multiple of 2 and 12 which is 12.
To get a 12 in the denominator of 1/2, we multiply the numerator and the denominator by 6 which gives us 6/12.
Notice that 1/12 already has a 12 in the denominator so now we are comparing like fractions since both of them has a 12 in the denominator.
To compare like fractions, we simply look at the numerators. Since 6 is greater than 1, this means that 6/12 is greater than 1/12.
Therefore, 1/2 is greater than 1/12.
