Answer: D. 0.306
Step-by-step explanation:
Assuming a normal distribution for the annual salary for intermediate level executives, the formula for normal distribution is expressed as
z = (x - u)/s
Where
x = annual salary for intermediate level executives
u = mean annual salary
s = standard deviation
From the information given,
u = $74000
s = $2500
We want to find the probability that the mean annual salary of the sample is between $71000 and $73500. It is expressed as
P(71000 lesser than or equal to x lesser than or equal to 73500)
For x = 71000,
z = (71000 - 74000)/2500 = - 1.2
Looking at the normal distribution table, the probability corresponding to the z score is 0.1151
For x = 73500,
z = (73500 - 74000)/2500 = - 0.2
Looking at the normal distribution table, the probability corresponding to the z score is 0.4207
P(71000 lesser than or equal to x lesser than or equal to 73500) is
0.4207 - 0.1151 = 0.306
Answer:
Kindly check explanation
Step-by-step explanation:
xbar = 2.6
Sample size, n = 100
s = 0.4
Mean, μ = 4
The test statistic :
(xbar - μ) ÷ s/sqrt(n)
(2.6 - 4) ÷ 0.4/sqrt(25)
1.4 ÷ 0.08
= −17.5
Critical tvalue for 95% confidence interval :
df = n - 1 = 25 - 1 = 24
Tcritical at 0.05/2; df
Tcritical = ±2.064
Since, Tstatistic value does not fall within the Tcritical value ±2.064, we reject the Null
Using the p value from Tstatistic calculator :
P value at t = - 17.5 at 0.05 < 0.000001
Since p value is < 0.05, we reject H0.
Answer:
y=x^2+7x+4
Step-by-step explanation:
because the sign before x^2 is positive, the graph would concave up, if there's only one intercept, it has to be the vertex. the vertex is the critical point.
solve every make the derivative of each function equals zero, you get the x where the vertex shall be, then get this"x" into y=x-5 see if the y in y=x-5 is equal to y=x^2+6x+9 or other options.
let me give u an example.
for y=x^2+x-4, the critical point shall be 2x+1=0,x=-1/2, and the y is -4.25,
if you plug x=-1/2 into y=x-5, it's -5.5, -5.5 doesn't equal to -4.25
The answer is 4.5, I hope this helps.
Answer:
167.467mm^3
Step-by-step explanation:
Volume of cone:1/3hpir^2
1/3(10)(pi)(4)^2
=160/3(pi)
(Pi=3.14)
160/3pi=167.467mm^3
