Answer:
27
Step-by-step explanation:
The actual mean is 27.008333333333, round that as you will.
Answer:
0.9544
Step-by-step explanation:
We are given that mean=18 and standard deviation=1 and we have to find P(16<X<20).
P(16<X<20)=P(z1<Z<z2)
z1=(x1-mean)/standard deviation
z1=(16-18)/1=-2
z2=(x2-mean)/standard deviation
z2=(20-18)/1=2
P(16<X<20)=P(z1<Z<z2)=P(-2<Z<2)
P(16<X<20)=P(-2<Z<0)+P(0<Z<2)
P(16<X<20)=0.4772+0.4772=0.9544
The probability that the height of a tree is between 16 and 20 feet is 95.44%
Answer: The numbers are: <u>x = 34, y = 12</u>
Step-by-step explanation:
Lets say the numbers are x and y. The two equations are:
x+y=46
x= 3y-2
Next you use substitution for x in the first equation which brings you to
3y-2 + y = 46 which simplyfies to:
4y - 2 = 46
4y = 48
48 / 4 = 12
y = 12
Then you plug back y=12 in either of the equation to solve for x:
x = 3y - 2
x = 3(12) - 2 = 36 - 2 = 34
x = 34, y = 12
Yes it is possible. We could draw a trapezoid that has 2 right angles as shown below. A trapezoid has only one pair of parallel sides. A parallelogram needs both pairs of opposite sides to be parallel.
Answer:
5.2 inches
Step-by-step explanation:
The diameter of small Nerf balls follows normally distribution with mean 5.2 inches and standard deviation 0.08 inches.
We have to calculate the mean of sampling distribution when 20 balls are selected randomly.
Here, μ=5.2 and σ=0.08.
We know that mean of sampling distribution for mean is equal to the population mean.
mean of sampling distribution for mean= μxbar=μ= 5.2
Thus, mean of the sampling distribution of the sample mean is 5.2 inches
