A box plot has 5 data descriptions. The length that is equal to the lower quartile is 10 inches.
<h3>How does a boxplot show the data points?</h3>
A box plot has 5 data descriptions:
- The leftmost whisker shows the minimum value in the data.
- The rightmost whisker shows the maximum value in the data.
- The leftmost line in the box shows the first quartile.
- The middle line shows the median, also called the second quartile.
- The last line of the box shows the third quartile.
Hence, The length that is equal to the lower quartile is 10 inches.
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Answer:
y = x^2 + 6 given equation
y = m x + b equation of straight line required
dy/dx = 2 x tangent to given curve
dy/dx = slope = 2 * 5 = 10
Thus our line must be of the form
y = 10 x + b
31 = 10 * 5 + b at the point required
b = 31 - 50 = -19
Then our final equation becomes
y = 10 x - 19
Answer:
5050
Step-by-step explanation:
Gauss has derived a formula to solve addition of arithmatic series to find the sum of the numbers from 1 to 100 as follows:
1 + 2 + 3 + 4 + … + 98 + 99 + 100
First he has splitted the numbers into two groups (1 to 50 and 51 to 100), then add these together vertically to get a sum of 101.
1 + 2 + 3 + 4 + 5 + … + 48 + 49 + 50
100 + 99 + 98 + 97 + 96 + … + 53 + 52 + 51
1 + 100 = 101
2 + 99 = 101
3 + 98 = 101
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48 + 53 = 101
49 + 52 = 101
50 + 51 = 101
It was realized by him that final total will be fifty times of 101 means:
50(101) = 5050.
Based on this, Gauss has derived formula as:
The sequence of numbers (1, 2, 3, … , 100) is arithmetic and we are looking for the sum of this series of sequence. As per Gauss, the special formula derived by him can be used to find the sum of this series:
S is the sum of the series and n is the number of terms in the series, in present case, from 1 to 100, Hence
As per the Gauss formula, the sum of numbers from 1 to 100 will be 5050.
Answer : 5050
One day, a girl named,"Amanda" wanted to share cookies in between 3 of her best friends.However, she only had 1/2 of her cookie left. So she divided her cookie by 3 to share her cookie with every single friend.
First, read the problem and circle/underline any important information. it usually helps you sort it out.
so, the book has 288 pages total. she's read 90 out of 288. she wants to read 20 pages from here on out to finish the book. write an equation yourself before you worry about part A with her incorrect equation.
"90" here is going to be your constant number, because regardless of how much she reads every day from now on, she has already done 90. you add 90 and the 20 per day because they have to add up to 288 to show that she completed the book. the equation you should have is:
90 + 20d = 288
so this will help you answer part A and part B of the question. what did she get wrong? well, you can see that she did SOMETHING to get that big ol' 378 instead of 288. she probably added 90 instead of subtracting it; do some mental math or check it on a calculator, and, yep, that's definitely her mistake there. then, it looks like she also thought she needed to "subtract" 20 pages per day. that would mean... she read 20 less pages a day, rather than 20 more. and you can't unread something, so that's her second mistake.
to summarize for part A: she added 90 instead of subtracting it, then she's subtracting 20 pages a day rather than adding it to her completed work.
to find out how many pages she'll need to read a day, you just need to get "d" alone in the equation we wrote.
90 + 20d = 288 ... subtract 90
20d = 198 ... divide by 20
d = 9.9, but as the instructions state, "part of a day" is a full day. that means she'll need 10 days to complete her reading.
"show that your answer is reasonable." -- to be honest, i don't really know what they're asking for here. of course it's reasonable? we just solved it with logical math............... maybe they want you to plug the answer in? in that case, just check it real quick:
90 + 20d = 288
90 + 20(10)
90 + 200
290... 288. she would have time to 290 pages but she only has to take care of 288, so she'll finished it ??
