Answer:
We can be 95% confident that consumers spend between $4.04 and $15.96 less at Store A than the consumers spend at Store B.
Step-by-step explanation:
Confidence Intervals give an estimate as range of values for a statistic concerned at a <em>confidence level</em>.
In this case the statistic is the mean difference between Store A and Store B purchase amounts and the confidence level is 95%.
Confidence Interval can be calculated using M±ME where
- M is the sample mean difference between Store A and Store B purchase amounts
- ME is the margin of error from the mean
The missing piece of information in the proof is that m∠DOA and m∠BOC are vertical opposite angles.
<h3>How to find vertically opposite angles?</h3>
We want to prove that m∠BOC = 90°.
We are given that m∠AOB is a right angle triangle. Thus;
m∠BOC must also be equal to 90°
Now, since m∠BOC and m∠AOB are right angles, then it means that we must equally say that m∠DOA and m∠BOC are vertical opposite angles and they are as such equal.
Thus, the missing piece of information in the proof is that m∠DOA and m∠BOC are vertical opposite angles.
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Answer:
4^-5
Step-by-step explanation:
Since the have liked exponents, the exponent stays the same and divide 8 by 2 which equals 4.
Then place the exponent back to the quotient
1. > = < = < >
2. 3/4
3. ? What do you mean by yes/no?
She will have $2118 in her account after five years
<h3>How to determine the amount in five years?</h3>
The given parameters about the compound interest are
Principal Amount, P = $1,900
Interest Rate, R = 2.2%
Time, t = 5
Compound interests are different from simple interest, and they are calculated using the following compound interest formula
CI = P(1 + R)^t - P
To calculate the amount, we have:
A = P + CI
So, the equation becomes
A = P + P(1 + R)^t - P
Evaluate the like terms
A = P(1 + R)^t
Substitute the known values in the above equation
A = 1900 * (1 + 2.2%)^5
Express 2.2% as decimal
A = 1900 * (1 + 0.022)^5
Evaluate the sum
A = 1900 * (1.022)^5
Evaluate the exponent
A = 1900 * 1.11495
Evaluate the product
A = 2118
Hence, she will have $2118 in her account after five years
Read more about compound interest at:
brainly.com/question/24924853
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