A cereal box says that now it contains 20% more. Originally, it came with 20 ounces of cereal. How much cereal does the box come
1 answer:
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Answer:
The amount invested as certificates of deposit is $ 35,000 and The amount invested as bonds is $ 41,000
Step-by-step explanation:
Given as :
The total amount to be invested as bonds and certificates of deposit (CD) = $76,000
Let the amount invested as bonds = $ x + $6000
And The amount invested as CD = $ x
Now, According to question
The amount invested as CD + The amount invested as bonds = $ x + $ x + $6000
Or, $ x + $ x + $6000 = $76,000
Or, $ 2x = $76,000 - $6000
So, $ 2x = $70,000
∴ x = = $ 35,000
And $ x + $6000 = $ 35,000 + $6000 = $ 41,000
Hence The amount invested as certificates of deposit is $ 35,000 and The amount invested as bonds is $ 41,000 Answer
Answer:
The sample proportion is 0.88.
The margin of error is of 0.04.
The interval likely to contain the true population proportion is (0.84,0.92).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of .
Margin of error:
The margin of error is of:
Sample of 230 teenagers, 202 would like to have smaller class sizes at their school.
This means that , and that the sample proportion is:
The sample proportion is 0.88.
Standard 95% confidence level
So , z is the value of Z that has a p-value of
, so
.
Margin of error:
The margin of error is of 0.04.
Confidence interval:
Sample proportion plus/minus margin of error. So
0.88 - 0.04 = 0.84
0.88 + 0.04 = 0.92
The interval likely to contain the true population proportion is (0.84,0.92).