Answer:
a. x = 40 wpm
b. MOE = 4.4 wpm.
c. If you were to create many more confidence intervals from many different random samples, you would expect 95% all of the confidence intervals to have centers and widths that include the true mean.
d. About 5% of the confidence intervals would not capture the parameter (true mean) you are trying to estimate.
Step-by-step explanation:
We have a 95% confidence interval for the mean with bounds 35.6 and 44.4.
This is estimated from a sample that, in this case, has a sample size of n=54.
The value of x, used to construct the interval, will be at the center of the interval. Then we can calculate the value of x as the average between the two bounds:
The margin of error is equal to the difference between x and any of the bounds:
c. If you were to create many more confidence intervals from many different random samples, you would expect 95% all of the confidence intervals to have centers and widths that include the true mean.
d. About 5% of the confidence intervals would not capture the parameter (true mean) you are trying to estimate.
Answer:
12x + 10 = 54 - 10x
12x + 10x = 54 - 10
22x = 44
divide both side by 22
<u>2</u><u>2</u><u>x</u><u> </u>= <u>4</u><u>4</u>
22 22
x = 2
90 games since each team would be playing 9 games (one against every other team)
Step-by-step explanation:
−1,
2
−1
]∪[0,
2
1
]∪{1}
For f to be defined 2{x}
2
−3{x}+1≥0
({x}−1)(2{x}−1)≥0
⇒{x}∈(−∞,
2
1
)∪[1,∞)
But we know, {x}∈[0,1)
Thus {x}∈[0,
2
1
)→(1)
Also given that x∈[−1,1]
Hence required domain is [−1,−
2
1
]∪[0,
2
1
],∪{1}
Note {−x}=1−{x}
(-2x^2)^3*3x is -24x^7
exponents first
(-2x^2)^3
(-2)^3 x^(2)^3 (when raised to a power multiply the powers on the exponent)
(-2) *(-2) *(-2)*x^(2*3)
-8 x^6
-8 x^6 * 3x
-8*3 * x^6 *x (when multiplying add the exponents)
-24 x^(6+1)
-24 x^7