Answer:
The lowest score a college graduate must be 577.75 or greater to qualify for a responsible position and lie in the upper 6%.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 500
Standard Deviation, σ = 50
We are given that the distribution of test score is a bell shaped distribution that is a normal distribution.
Formula:
We have to find the value of x such that the probability is 0.06.
P(X > x) = 6% = 0.06
Calculation the value from standard normal z table, we have,
Hence, the lowest score a college graduate must be 577.75 or greater to qualify for a responsible position and lie in the upper 6%.
f(x)=4x-6
g(x) = f(2x)
Substitute 2x into the first equation, which you get
f(2x)=8x-6
<h2><u><em>
So, g(x)=8x-6</em></u></h2>
Answer:
A square
Step-by-step explanation:
A parallel cross section will be the same shape of the base. Since it's a square base, all parallel cross sections will also be parallel. Think of it as a different floor of a pyramid shaped building.
Answer and explanation:
Null hypothesis(H0) says sentiment for increasing speed limit in the two populations is the same
Alternative hypothesis(Ha) says sentiment for increasing speed limit in the two populations is different
Where p1 is the first population proportion =65/297= 0.22
And p2 is the second population proportion = 78/189= 0.41
P= p1+p2/n1+n2= 65+78/297+189= 0.29
Hence H0= p1-p2=0
Ha=p1-p2≠0
Test statistic= p1-p2/√p(1-p) (1/n1+1/n2)
= 0.22-0.41/√0.29(1-0.29)(1/297+1/189)
= -4.49
Critical value at 95% significance level= 1.96( from tables)
We therefore reject null hypothesis as critical value is greater than test statistic
Therefore the sentiment for increasing speed limit in the two populations is different
b. at proportions of 0.24 and 0.40 for p1 and p2 respectively
Test statistic = 0.24-0.40/0.29(1-0.29)(1/297+1/189)
= -3.78
P value is 0.0002 at 0.05 significance level
Hence probability =0.4998
Answer:
OR 6.324555
Remember to round accordingly if not intended to be answered in square root form!
Step-by-step explanation:
Use the distance formula
