<h2>
Answer with explanation:</h2>
a) Given : Sample size of students : n =1123
Number of students read above the eighth grade level = 888
Then, Number of students read at or below the eighth grade level =1123-888=235
Then , the sample proportion of tenth graders reading at or below the eighth grade level.:
![\hat{p}=\dfrac{235}{1123}=0.209260908281\approx0.209](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%3D%5Cdfrac%7B235%7D%7B1123%7D%3D0.209260908281%5Capprox0.209)
Since, the best estimate for the population proportion is the sample proportion.
Thus, the estimated proportion of tenth graders reading at or below the eighth grade level = 0.209
b) Significance level : ![\alpha= 1-0.90=0.10](https://tex.z-dn.net/?f=%5Calpha%3D%201-0.90%3D0.10)
Critical value : ![z_{\alpha/2}=1.675](https://tex.z-dn.net/?f=z_%7B%5Calpha%2F2%7D%3D1.675)
Confidence level for population proportion:-
![\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\=0.209\pm (1.645)\sqrt{\dfrac{0.209(1-0.209)}{1123}}\\\\=0.209\pm0.0199589370751\\\\\approx 0.209\pm0.020=(0.189,0.229)](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%5Cpm%20z_%7B%5Calpha%2F2%7D%5Csqrt%7B%5Cdfrac%7B%5Chat%7Bp%7D%281-%5Chat%7Bp%7D%29%7D%7Bn%7D%7D%5C%5C%5C%5C%3D0.209%5Cpm%20%281.645%29%5Csqrt%7B%5Cdfrac%7B0.209%281-0.209%29%7D%7B1123%7D%7D%5C%5C%5C%5C%3D0.209%5Cpm0.0199589370751%5C%5C%5C%5C%5Capprox%200.209%5Cpm0.020%3D%280.189%2C0.229%29)
Hence, the 90% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level = (0.189,0.229)
Answer:
what??
Step-by-step explanation:
-16 + 5n = -7(-6 + 8n) + 3 Given
-16 + 5n = 42 - 56n + 3 Distribute
-16 + 5n = 45 - 56n Collect like terms
61n = 61 Add 56n to the left side and add 16 to the right side
n = 1 Divide 61 from both sides
The answer is n = 1. Remember that when you have a number beside two or more numbers in parentheses, you have to distribute, or multiply the number outside the parentheses by each number inside the parentheses.
Hope this helps!
140 = 10x + 5y
24 = x + y
x = 4
y = 20
x is the number of $10 bills (So 4 $10 bills)
y is the number of $5 bills (So 20 $5 bills)
1st one: only mentions 1 p wrong
2nd one: saving means (-) cost so this is also wrong
3rd one: how much you owe is x-y and there is no (-) sign in there so it is wrong
the answer is the 4th one because it has p+14%p if p=price and 14%p=14% of p tax