Answer: 6 years old.
Step-by-step explanation:
For this exercise let "x" represents your present age.
According to the information provided in the exercise, you know that In three years, Chad will be three times your present age.
Then, your age in three years can be represented with the following expression:
Knowing at that time Chad's age will be three times yours and you will be half as old as old as Chad, you can write the following equation to represent this situation:
Therefore, the final step is to solve for "x" in order to find its value.
You get that this is:
36 divided by 0.8 = 45
45 makers will be placed along the route
Mr. Chase , because the answer is 324
Answer:
4.76cm
Step-by-step explanation:
Given data
circumference= 15cm
The expression for circumference is
C= 2πr
substitute and solve for r
15= 2*3.14*r
r= 15/ 2*3.14
r=15/ 6.28
r= 2.38 cm
Hence the diameter is
D= 2r
D= 2*2.38
D=4.76cm
Complete Question:
A population proportion is 0.4. A sample of size 200 will be taken and the sample proportion p will be used to estimate the population proportion. Use z- table Round your answers to four decimal places. Do not round intermediate calculations. a. What is the probability that the sample proportion will be within ±0.03 of the population proportion? b. What is the probability that the sample proportion will be within ±0.08 of the population proportion?
Answer:
A) 0.61351
Step-by-step explanation:
Sample proportion = 0.4
Sample population = 200
A.) proprobaility that sample proportion 'p' is within ±0.03 of population proportion
Statistically:
P(0.4-0.03<p<0.4+0.03)
P[((0.4-0.03)-0.4)/√((0.4)(.6))/200 < z < ((0.4+0.03)-0.4)/√((0.4)(.6))/200
P[-0.03/0.0346410 < z < 0.03/0.0346410
P(−0.866025 < z < 0.866025)
P(z < - 0.8660) - P(z < 0.8660)
0.80675 - 0.19325
= 0.61351
B) proprobaility that sample proportion 'p' is within ±0.08 of population proportion
Statistically:
P(0.4-0.08<p<0.4+0.08)
P[((0.4-0.08)-0.4)/√((0.4)(.6))/200 < z < ((0.4+0.08)-0.4)/√((0.4)(.6))/200
P[-0.08/0.0346410 < z < 0.08/0.0346410
P(−2.3094 < z < 2.3094)
P(z < -2.3094 ) - P(z < 2.3094)
0.98954 - 0.010461
= 0.97908
