In a couple of sentences and your own words describe how to re-write an expression that's in radical form into an expression wit
1 answer:
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Answer: _L_TS_OF_FLOURS
Each underscore represents an empty box, i.e. a space
I'm assuming your teacher probably meant to have _LOTS_OF_FLOURS
See the explanation below as to why that first "O" is left out.
I would as your teacher for more clarification if s/he made a typo or not.
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Explanation:
For the stuff in the top row, we simplify the expression to get a single number. For example,
2^5 = 2*2*2*2*2 = 32
We have five copies of "2" multiplied out
The result of 32 means we'll cross off "32" from the list. This is the one with the lettering of "lV"
As another example,
3^4 = 3*3*3*3 = 81
The exponent tells us how many copies of the base to multiply
The result of 81 means we cross off the entry labeled "bT 81"
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For the stuff in the bottom row, we replace the variables with the numbers associated with them.
When it says a = 2, we replace every copy of 'a' with 2
Something like (3a)^2 will then mean (3*2)^2. Use PEMDAS to simplify and you should get 36 as the result.
Check out the diagram below to see which items are crossed off the list. Each red box represents something that is crossed off the list.
The remaining items that weren't crossed off are:
- mU 10
- jG -32
- eS 1/12
- lO 1000 .... the first letter is lowercase L
- hF -1/32
- bL 256
- jF -196
- gO 32
- oS 24
- dT 36
- nR 144
- kL -180
We're given a set of boxes labeled with lowercase letters 'a' through 'p'
We'll write "L" in box "b" since these letters pair together in "bL 256"
Then we have "dT" up next to mean we'll write T in box d
Next letter S goes in box 'e' since we have the code "eS 1/12"
This process is repeated until we end up with _L_TS_OF_FLOURS
where each underscore is an empty box. For example, box 'a' is left empty since none of the remaining codes involve a lowercase 'a'
It appears your teacher made a typo. I'm guessing the answer to the riddle should be "_LOTS_OF_FLOURS", but box c is empty because none of the remaining codes involve lowercase c. We do have the code "cO -32" in the upper left corner, but it has been crossed off the list due to (-2)^5 = -32
Answer:
The value of height that separates the bottom 90% of data from the top 10% is 3.507.
Step-by-step explanation:
1) Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
2) Solution to the problem
Let X the random variable that represent the grades of a population, and for this case we know the distribution for X is given by:
Where and
And the best way to solve this problem is using the normal standard distribution and the z score given by:
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
Both conditions are equivalent on this case. We can use the z score again in order to find the value a.
As we can see on the figure attached the z value that satisfy the condition with 0.90 of the area on the left and 0.10 of the area on the right it's z=0.816. On this case P(Z<0.816)=0.90 and P(Z>0.816)=0.1
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
So the value of height that separates the bottom 90% of data from the top 10% is 3.507.