Answer:
The minimum sample size needed is 
. If n is a decimal number, it is rounded up to the next integer. 
is the standard deviation of the population.
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 Z-table as such z has a p-value 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.
How large a sample must she select if she desires to be 90% confident that her estimate is within 4 ounces of the true mean?
A sample of n is needed, and n is found when M = 4. So
The minimum sample size needed is . If n is a decimal number, it is rounded up to the next integer. is the standard deviation of the population.
The amount invested is $ 470
<h3><u>Solution:</u></h3>
Given that , we have earned $131.60 as simple interest for an amount deposit at the rate of 4% for seven years.
We have to find the amount invested. That is, we need to find the principal sum
Let us use the simple interest formula
<em><u>The simple interest is given as:</u></em>
Here, simple interest = $ 131.60
Rate of interest = 4 %
Number of years = 7
principal = ?
Substituting the values in formula, we get
Thus the amount invested is $ 470
<h2>
Greetings!</h2>
If x = the first number (equal to 1x) then the second number is 75% more than this.
This means the value of the bigger number is 100 + 75 (because 100 is the starting number and 75 is the percent bigger)
This can be shown with the following equation:
Amount * 
x * 
= 1.75x
1.75x is the value of the bigger number.
<h2>Hope this helps!</h2>
Answer:
Rotation then reflection
Step-by-step explanation:
The triangle starts where the light green one is. Then it is rotated 90 degrees clockwise around the point where the hypotenuse and longer leg meet. From the sark green triangle it is reflectd to where the purple triangle is.
