Answer:
6
Step-by-step explanation:
The real part is the part without 'i'.
Answer:
A=B-5
Step-by-step explanation:
Albert is known as the variable A.
Bill is known as the variable B.
If Albert is 5 years younger than Bill. Then the equation will be
a=b-5
Answer: 1. 3g+14
2. 29n+21
3. 10p+8
4. 12e-8-3e
5. 9t
7. -22+3b
Step-by-step explanation:
1. 5g-2(g-7)
5g-2g+14
3g+14.
2. 32n-3(n-7)
32n-3n+21
29n+21
3. 12p-2(p-4)
12p-2p+8
10p+8
4. 4(3e-2)-3e
12e-8-3e
5. -5t(t-3)
-6t+15t
9t
7. -4(3-b) +2(3b +2)-7(b+2)
-12+4b+6b+4-7b-14
-22+3b
The y< -2x + 6 is the one that crosses at 6 on the y-axis. the < indicates that you shade BELOW it, so the left side of that line is shaded because it has a negative slope.
the y> 5/4x - 6 is the one that crosses at -6 on the y-axis. the > indicates that you shade ABOVE it, so the left side would also be shaded because it has a positive slope.
so whatever point is in both of those shaded areas would satisfy both inequalities
Given:
n = 150, sample size
Denote the sample proportion by q (normally written as
![\hat{p}](https://tex.z-dn.net/?f=%5Chat%7Bp%7D)
).
That is,
q = 60/150 = 0.4, sample proportion.
At the 96% confidence level, the z* multiplier is about 2.082, and the confidence interval for the population proportion is
![q \pm z^{*}[ \frac{q(1-q)}{ \sqrt{n} } ]](https://tex.z-dn.net/?f=q%20%5Cpm%20z%5E%7B%2A%7D%5B%20%5Cfrac%7Bq%281-q%29%7D%7B%20%5Csqrt%7Bn%7D%20%7D%20%5D)
That is,
0.4 +/- 2.082* √[(0.4*0.6)/150]
= 0.4 +/- 0.0833
= (0.3167, 0.4833)
= (31.7%, 48.3%)
Answer: The 96% confidence interval is about (32% to 48%)