Response:
Step-by-step explanation:
Shift the decimal points in both the divisor and the dividend.
Transform the divisor (the number you're dividing by) into a whole number by moving its decimal to the furthest right. Simultaneously, adjust the dividend's decimal (the number being divided) the same number of places to the right.
In the quotient (the result), place a decimal point directly over where the decimal point is now located in the dividend.
Proceed with the division as normal, ensuring proper alignment so the decimal point appears correctly.
Align each digit in the quotient directly over the last digit of the dividend utilized in that step.
A(n)=a(1)+(n-1)d=
a(n)=2+(n-1)2=2+2n-2=2n
The last part of the question is asking;
What was the total amount spent by all (99.7%) students on textbooks in a semester?
Response:
almost all (99.7%) of the students spent between $165 and $315 on textbooks in a semester.
Stepwise clarification:
The standard deviation rule informs that for normally distributed data, approximately 99.7% of observations fall within three standard deviations from the mean.
In this case, we have the given mean as 240, and standard deviation as 25
Thus, calculating three standard deviations below the mean: Mean - 3(standard deviation)
equals 240 - (3 × 25)
yielding 240 - 75 = 165
Now, for three standard deviations above the mean: Mean + 3 (standard deviation) = 240 + (3 × 25)
equals 240 + 75 = 315
Therefore, nearly all (99.7%) of the students spent between $165 and $315 on textbooks in a semester.
Response:
The number 40 can be found in Pattern B. Additionally, following the rule, each sequence will expand.
Detailed breakdown:
Let’s build each sequence. Recall that the guideline is to "add 15" to generate each sequence starting from the provided initial number.
Pattern A.
Pattern B.
Pattern C.
You can see that the number 40 appears in Pattern B. Moreover, per the rule, each pattern will show an increase.
Answer:
Her age is 40 years
Step-by-step explanation:
Let Jerry's age be represented as j
Let Marjorie's age be denoted as m
The first part of the question states:
j = 4 + m/2
For the second equation:
m = 3j - 32
Multiply the first equation by 2 to get:
2j = 8 + m
Leading to m = 2j - 8
Set both equations for m equal to each other:
2j - 8 = 3j - 32
By simplifying, we get:
3j - 2j = 32 - 8
Therefore, j = 24
Now substituting back:
m = 2j - 8
m = 2(24) - 8
Thus, m = 48 - 8
Final result: m = 40
