A survey asked high school cell phone users how many minutes they use their phones to talk each day. The
1 answer:
The two numbers in between which the lower quartile value given by the attached boxplot falls are 1.5 and 2.5 respectively.
- The lower quartile means the 25th percentile or lower
of the distribution
- From a boxplot, the lower quartile is the point marked by the starting point of the box.
- The Lower quartile of the distribution represented by the boxplot is 2
- The values which bounds the lower quartile value to the left and right are 1.5 and 2.5 respectively.
Therefore, two numbers in between which the lower quartile value falls are 1.5 and 2.5
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we know that
the volume of a cone is equal to
where
r is the radius of the base of the cone
h is the height of the cone
in this problem we have
Substitute in the formula above
therefore
<u>the answer is</u>
the volume of the cone is or
Answer: Check out the diagram below
The lengths can be between <u> 4 </u> and <u> 12 </u> units
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Explanation:
Let's find an expression that represents the area.
The length is 2x+1 and the width is 3. Multiply those two and we get
3(2x+1) = 6x+3
The area is 6x+3 square units.
In other words, A = 6x+3 represents the area.
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We're then told that saying that the area is between 12 and 36 square units (including both endpoints).
We'll replace the A with 6x+3 and solve for x like so:
note1: I subtracted 3 from all sides to undo the "plus 3"
note2: I divided all sides by 6 to undo the multiplication
------------------
We just found that so it says that x is between 1.5 and 5.5 including both endpoints.
Plug in the smallest possible x value to find the smallest possible length
length = 2x+1
L = 2(1.5)+1
L = 3+1
L = 4
The smallest possible length is 4 units. Multiply this with the height 3 and we get L*W = 4*3 = 12 which is the smallest possible area.
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Now use x = 5.5 to find the largest value of L possible
L = 2x+1
L = 2(5.5)+1
L = 11+1
L = 12
Then note how L*W = 12*3 = 36 is the max area possible, which matches with that your teacher wrote. So this confirms we have the correct value.
If you're not sure which values go where, check out the diagram below.
Answer: 35
Step-by-step explanation:
Given : The IQs of 700 applicants to a certain college are approximately normally distributed with a mean of 115 and a standard deviation of 11.
i.e. and
Let x denotes the IQs of applicants to college.
If the college requires an IQ of at least 97, then, the probability that students have IQ less than 97:-
[By using z-table]
Number of students will be rejected on this basis of IQ = Total students x Probability of students have IQ less than 97
= 700 x 0.0505 = 35.35 ≈ 35
Hence, about 35 students will be rejected on this basis of IQ, regardless of their other qualifications .