Answer:
x = 4
y = 3
Step-by-step explanation:
2x - 3(x - 1) = -1
2x - 3x + 3 = -1
-x + 3 = -1
- 3 - 3
(-1) -x = -4 (-1)
x = 4
y = 4 - 1
y = 3
Answer:
9400.11
Step-by-step explanation:
Answer:
B ±sqrt((y-k)/a ) + h= x
Step-by-step explanation:
y=a(x-h)^2+k
Subtract k from each side
y-k = a(x-h)^2+k-k
y-k = a(x-h)^2
Divide by a
(y-k)/a = a(x-h)^2/a
(y-k)/a = (x-h)^2
Take the square root of each side
±sqrt((y-k)/a )= sqrt((x-h)^2)
±sqrt((y-k)/a )= (x-h)
Add h to each side
±sqrt((y-k)/a ) + h= (x-h+h)
±sqrt((y-k)/a ) + h= x
Answer:
I'm sorry if i'm wrong but I hope this helps
Step-by-step explanation:
Volume = l³ = 500
![length = \sqrt[3]{500} = 7.937m](https://tex.z-dn.net/?f=length%20%3D%20%20%5Csqrt%5B3%5D%7B500%7D%20%20%3D%207.937m)
1) To find the confidence interval
the sample mean x = 38 σ = 9; n = 85;
The confidence level is 95% (CL = 0.95) <span>CL = 0.95
so α = 1 – CL = 0.05
</span><span>α/2 = 0.025 </span>Z(α/2) = z0.025
The area to the right of Z0.025 is 0.025 and the area to the left of Z0.025 is 1 – 0.025 = 0.975
Z(α/2) = z0.025 = 1.645 This can be found using a computer, or using a probability table for the standard normal distribution.
<span>EBM = (1.645)*(9)/(85^0.5)=1.6058</span> x - EBM = 38 – 1.6058 = 36.3941 <span> x + EBM = 38 + 1.6058 = 39.6058
</span>The 95% confidence interval is (36.3941, 39.6058).
The answer is the letter D
<span>The value of 40.2 is <span>within the 95% confidence interval for the mean of the sample
</span></span>2) To find the confidence interval <span>
<span>the sample mean x = </span>76 σ = 20; n = 102; </span><span>
The confidence level is 95% (CL = 0.95) CL = 0.95
so α = 1 – CL = 0.05
α/2 = 0.025 Z(α/2) = z0.025
The area to the right of Z0.025 is 0.025 and the area to the
left of Z0.025 is 1 – 0.025 = 0.975
Z(α/2) = z0.025 = 1.645 This can be found using a computer,
or using a probability table for the standard normal distribution.
EBM = (1.645)*(20)/(102^0.5)=3.2575 x - EBM = 76 – 3.2575 = 72.7424 </span> x +
EBM = 76 + 3.2575 = 79.2575 <span>
The 95% confidence interval is (</span>72.7424 ,79.2575).<span>
The answer is the letter </span>A
and the letter D<span>
The value of 71.8 and 79.8 <span> are </span> outside<span>
the 95% confidence interval for the mean of the sample</span></span>
