Answer:
Step-by-step explanation:
1.21 United States Dollar
Answer:
2x+5=2x-3
2x-2x=-3-5
0=-8
Step-by-step explanation:
Answer:
ai ) 
aii)
b ) 
Step-by-step explanation:
From the question we are told that
The mean is 
The standard deviation is 
Let the random sediment density be X
given that the sediment density is normally distributed it implies that
X N(2.65 , 0.85)
Now probability that the sample average is at 3.0 is mathematically represented as
![P(\= X \le 3.0 ) = P[\frac{\= X - \mu} {\frac{\sigma }{\sqrt{n} } } \le \frac{3.0 - \mu}{\frac{ \sigma}{\sqrt{n} } } ]](https://tex.z-dn.net/?f=P%28%5C%3D%20X%20%5Cle%203.0%20%29%20%3D%20P%5B%5Cfrac%7B%5C%3D%20X%20-%20%5Cmu%7D%20%7B%5Cfrac%7B%5Csigma%20%7D%7B%5Csqrt%7Bn%7D%20%7D%20%7D%20%5Cle%20%5Cfrac%7B3.0%20-%20%5Cmu%7D%7B%5Cfrac%7B%20%5Csigma%7D%7B%5Csqrt%7Bn%7D%20%7D%20%7D%20%20%5D)
Here n is the sample size = 25 and
is the sample mean
Now Generally the Z-value is obtained using this formula

Thus
![P(\= X \le 3.0 ) = P[Z \le \frac{3.0 - 2.35}{\frac{ 0.85}{\sqrt{25} } } ]](https://tex.z-dn.net/?f=P%28%5C%3D%20X%20%5Cle%203.0%20%29%20%3D%20P%5BZ%20%5Cle%20%5Cfrac%7B3.0%20-%202.35%7D%7B%5Cfrac%7B%200.85%7D%7B%5Csqrt%7B25%7D%20%7D%20%7D%20%20%5D)
![P(\= X \le 3.0 ) = P[Z \le 2.06 ]](https://tex.z-dn.net/?f=P%28%5C%3D%20X%20%5Cle%203.0%20%29%20%3D%20P%5BZ%20%5Cle%202.06%20%5D)
From the z-table the z-score is 0.980
Thus

Now probability that the sample average is between 2.65 and 3.00 is mathematically evaluated as

From the z-table
Now from the question

=> ![P(\= X \le 3.0 ) = P[Z \le \frac{3.0 - 2.35}{\frac{ 0.85}{\sqrt{n} } } ] = 0.99](https://tex.z-dn.net/?f=P%28%5C%3D%20X%20%5Cle%203.0%20%29%20%3D%20P%5BZ%20%5Cle%20%5Cfrac%7B3.0%20-%202.35%7D%7B%5Cfrac%7B%200.85%7D%7B%5Csqrt%7Bn%7D%20%7D%20%7D%20%20%5D%20%3D%200.99)
Generally the critical value of z for a one tail test such as the one we are treating that is under the area 0.99 is
this is obtained from the critical value table
So


=> 
<span>To find Ashley's rate of speed in miles per hour, you will use the formula
Rate = Distance/Time.
First, you should fill in what you know. In this case, you know the distance is 2.5 miles, and the time is 0.75 hours. Now, you simply plug in the known variables to the formula to get Rate = 2.5 miles / 0.75 hours. After dividing, you reach the answer Rate = 3.333333 (or 3 and 1/3) miles/hour.</span>
Answer:
g < 5
Step-by-step explanation:
He already uses $70 per month.
90-70=20
He has $20 left and each gigabyte is $4.
20/4=5
He can use 5 gigabytes while staying within his budget.