Answer:
A 90% confidence interval for the mean number of letter sounds identified in one minute is: (30.84, 37.34).
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
That is z with a pvalue of 
, so Z = 1.645.
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 34.09 - 3.25 = 30.84.
The upper end of the interval is the sample mean added to M. So it is 34.09 + 3.25 = 37.34.
A 90% confidence interval for the mean number of letter sounds identified in one minute is: (30.84, 37.34).
Answer:
11/18
Step-by-step explanation:
The desired probability is the sum of ...
... (probability of choosing a coin) × (p(heads) on that coin)
Since the coins are chosen at random, we assume the probability of choosing a given coin is 1/3. Then ...
... p(heads) = (1/3)·(1/2) + (1/3)·1 + (1/3)·(1/3) = 1/6 + 1/3 + 1/9 = (3 +6 + 2)/18
... p(heads) = 11/18
The zero propperty because you are add any thing plus zero
Answer:
So the answer is 108.75
Step-by-step explanation:
15 * $4.25 = 63.75
12* $3.75 = 45
63.75 + 45 = 108.75.
Answer:108.75
Given:
The function is
To find:
The inverse of the given function.
Solution:
We have,
Substitute m(x)=y.
Interchange x and y.
Add square of half of coefficient of y , i.e., 
on both sides,
![[\because (a-b)^2=a^2-2ab+b^2]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28a-b%29%5E2%3Da%5E2-2ab%2Bb%5E2%5D)
Taking square root on both sides.
Add 
on both sides.
Substitute 
.
We know that, negative term inside the root is not real number. So,
Therefore, the restricted domain is and the inverse function is .
Hence, option D is correct.
Note: In all the options square of is missing in restricted domain.
