Answer:
5%
Step-by-step explanation:
6,250-5000
1,250
divide that by 5
you get 250
250/5000= 0.05
multiply that by 100 to get the percentage (interest rate)
so the answer is a 5% interest rate
the answer is attached below
Answer:
the difference in the means is not significant
Step-by-step explanation:
Let’s begin first by finding the difference between the means of the 2 groups.
Difference in means = 95% - 92% = 3% Now let’s look at the line plot of the 10 rerandomizations. On that plot, 4 of the randomizations have a difference of 3.
Probability of having a difference of 3 = 4 / 10 *100% = 40%
So just by mixing up the scores from both classes and finding the difference between the mean of 2 randomly defined groups, there was a difference of 3 between the 2 means in 40% of the trials.
Since this probability is so large, the difference in the means is not significant. The line plot shows that it would be very likely that the difference in the means is just due to random chance
Answer:
31.4%
Step-by-step explanation:
We have been given that ticket prices were on sale from $8.75 to $6.00. We are asked to find percent of decrease.
Therefore, percent of decrease was approximately 31.4%.
A) QR = 8
B) QR = -9
C) QR = 9
D) QR = 18
Explanation:
M is the midpoint of QR, so QM = MR, meaning that the two smaller pieces are equal (the two pieces combine back to QR)
Use substitution and isolate x
QM = MR
2x+5 = 5x-1
2x-5x = -1-5
-3x = -6
x = -6/(-3)
x = 2
If x = 2, then QM is
QM = 2x+5 = 2*2+5 = 9
and MR is
MR = 5x-1 = 5*2-1 = 9
both are 9 units long. Both are the same length as expected, so this helps confirm the answer.
The last thing we do is add up the two pieces QM and MR to get the length of QR. This is using the segment addition postulate.
QR = QM + MR
QR = 9 + 9
QR = 18
note: a negative length is never possible in any situation, so you can immediately eliminate choice B from the list of possible answers without even doing any math.
Answer: The GCF of 5 and 40 is 5
Step-by-step explanation:
The greatest common factor (GCF) of two numbers is the largest number that divides both of them evenly. To find the GCF of 5 and 40, we can list the factors of each number and find their common factors.
The factors of 5 are 1 and 5. The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.
To find the common factors, we can compare the factors of 5 and 40:
- Both 5 and 40 have 1 as a factor.
- However, 5 is not a factor of 40.
Therefore, the GCF of 5 and 40 is 1, as it is the largest number that divides both 5 and 40 evenly.
Another way to find the GCF is by using prime factorization. Let's find the prime factorization of 5 and 40:
- The prime factorization of 5 is 5.
- The prime factorization of 40 is 2 * 2 * 2 * 5.
To find the GCF, we take the common prime factors with the lowest exponents. In this case, the common prime factor is 5.
So, the GCF of 5 and 40 is 5.
The GCF of 5 and 40 is 5.
To find the GCF of 5 and 40, we can list the factors of each number and find the largest common factor.
Factors of 5: 1, 5
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
The common factors of 5 and 40 are 1 and 5. The largest common factor is 5.
Therefore, the GCF of 5 and 40 is 5.
Learn more about finding the greatest common factor (gcf) here:
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