Answer:
Step-by-step explanation:
Hello!
a) The population of interest is the registered voters of the city of Raleigh.
b) This population is finite and its size is 10400 voters.
c) The sample was taken by making a telephone poll, calling 400 registered voters.
d) The sample size is n= 400 voters
The number of people that answered they'd vote for Brown are 151, so the sample proportion of voters that would vote for bron is:
p= 151/400= 0.3775 ≅ 0.38
e) To know how many people is expected to vote for Brown based on the results of the telephone poll you can do the following calculation:
10400*0.38= 3952
Based on the information obtained from the sample, it is expected that only 3952 voters will vote for Brown.
Answer:68.3 degrees
Step-by-step explanation:
The diagram of the triangle ABC is shown in the attached photo. We would determine the length of side AB. It is equal to a. We would apply the cosine rule which is expressed as follows
c^2 = a^2 + b^2 - 2abCos C
Looking at the triangle,
b = 75 miles
a = 80 miles.
Angle ACB = 180 - 42 = 138 degrees. Therefore
c^2 = 80^2 + 75^2 - 2 × 80 × 75Cos 138
c^2 = 6400 + 5625 - 12000Cos 138
c^2 = 6400 + 5625 - 12000 × -0.7431
c^2 = 12025 + 8917.2
c = √20942.2 = 144.7
To determine A, we will apply sine rule
a/SinA = b/SinB = c/SinC. Therefore,
80/SinA = 144.7/Sin 138
80Sin 138 = 144.7 SinA
SinA = 53.528/144.7 = 0.3699
A = 21.7 degrees
Therefore, theta = 90 - 21.7
= 68.3 degees
Answer:
0 is greater
Step-by-step explanation:
When comparing the values of two numbers, you can use a number line to determine which number is greater.
Answer:
f(-3)= 19
Step-by-step explanation:
you have to use substitution. Every time that you see an x, plug it in for a -3
f(x)= -5x+4
f(-3)= -5(-3)+4
f(-3)= 19
