Answer:
47.72% of students scored between 563 and 637 on the exam .
Step-by-step explanation:
The percentage of the students scored between 563 and 637 on the exam
= The percentage of the students scored lower than 637 on the exam -
the percentage of the students scored lower than 563 on the exam.
Since 563 is the mean score of students on the Statistics course, 50% of students scored lower than 563. that is P(x<563)=0.5
P(x<637)=P(z<z*) where z* is the z-statistic of the score 637.
z score can be calculated using the formula
z*=
where
- M is the mean score (563)
- s is the standard deviation of the score distribution (37)
Then z*=
=2
P(z<2)=0.9772, which means that 97.72% of students scored lower than 637 on the exam.
As a Result, 97.72%-50%=47.72% of students scored between 563 and 637 on the exam
(3,8)
-5 is 4 units right, so do the opposite, 4 units left. 2 is 3 units down so do 3 units up
Answer: z equals 0.60 minus 0.72 all over the square root of the quantity 0.72 times 0.28 over 80
Step-by-step explanation:
let p be the population proportion of students complete their homework on a daily basis.
As per given , we have
p= 0.72
sample size : n= 80
Sample proportion : ![\hat{p}=0.60](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%3D0.60)
Test statistic for proportion:
![z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B%5Chat%7Bp%7D-p%7D%7B%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D)
i.e.
![z=\dfrac{0.60-0.72}{\sqrt{\dfrac{0.72(1-0.72)}{80}}}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B0.60-0.72%7D%7B%5Csqrt%7B%5Cdfrac%7B0.72%281-0.72%29%7D%7B80%7D%7D%7D)
i.e.
![z=\dfrac{0.60-0.72}{\sqrt{\dfrac{0.72(0.28)}{80}}}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B0.60-0.72%7D%7B%5Csqrt%7B%5Cdfrac%7B0.72%280.28%29%7D%7B80%7D%7D%7D)
That is , z equals 0.60 minus 0.72 all over the square root of the quantity 0.72 times 0.28 over 80
Answer:
156
Step-by-step explanation:
x - √+ = 12
= 12^2= 144
x = 144
1. C (x+8)^2
2. D y=6^x
3. D t/2.35 ; 2.13 ft.
4. A (7h^2-2h)/2; 672 cm^2
5. A 4.50 h ; $7.88
For one and two you just have to plug in the numbers into the equation to see what works.
Three four and five you have to read the problems and come up with an equation to get your answer. Please comment if you need to see the work!