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eduard
2 years ago
6

(b) we often read that iq scores for large populations are centered at 100. what percent of these 78 students have scores above

100? (round your answer to one decimal place.)
Mathematics
1 answer:
ss7ja [257]2 years ago
4 0
As IQ scores for extensive populaces are focused at 100, the mean = 100. 
There ought to be around half scores above or underneath the mean score since mean and middle is about a similar when the populace is substantial. 
P(x > 100) = P( z> (100 - 100)/sd ) = P(z > 0)= 0.5 
The number of the student who has scored over 100 = 0.5 x 78 = 39 Therefore the answer is 39 students. 
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A pack of 6 batteries of the same type costs £2.79. By caculating the price, per battery, determine if this is better value. You
Fittoniya [83]

Answer:

£0.465. It is a better value.

Step-by-step explanation:

If a pack of 6 batteries costs £2.79, price of a battery can be calculated as shown;

6batteries = £2.79

1 battery = x

x = cost of a battery

6x = £2.79

x = £2.79/6

x = £0.465

Price per battery will be £0.465. This price is a better value since the price is lesser than the cost of the 6batteries (£2.79) in a pack.

6 0
2 years ago
If 8 identical blackboards are to be divided among 4 schools,how many divisions are possible? How many, if each school mustrecei
MAXImum [283]

Answer:

There are 165 ways to distribute the blackboards between the schools. If at least 1 blackboard goes to each school, then we only have 35 ways.

Step-by-step explanation:

Essentially, this is a problem of balls and sticks. The 8 identical blackboards can be represented as 8 balls, and you assign them to each school by using 3 sticks. Basically each school receives an amount of blackboards equivalent to the amount of balls between 2 sticks: The first school gets all the balls before the first stick, the second school gets all the balls between stick 1 and stick 2, the third school gets the balls between sticks 2 and 3 and the last school gets all remaining balls.

 The problem reduces to take 11 consecutive spots which we will use to localize the balls and the sticks and select 3 places to put the sticks. The amount of ways to do this is {11 \choose 3} = 165 . As a result, we have 165 ways to distribute the blackboards.

If each school needs at least 1 blackboard you can give 1 blackbooard to each of them first and distribute the remaining 4 the same way we did before. This time there will be 4 balls and 3 sticks, so we have to put 3 sticks in 7 spaces (if a school takes what it is between 2 sticks that doesnt have balls between, then that school only gets the first blackboard we assigned to it previously). The amount of ways to localize the sticks is {7 \choose 3} = 35. Thus, there are only 35 ways to distribute the blackboards in this case.

4 0
2 years ago
Write a recursive formula for the sequence 1, 5, 9, 13
11Alexandr11 [23.1K]

Answer:

\bold{a(n) \ = \ a(n \ + \ 1) \ + \ 4}

Explanation:

Sequence: 1, 5, 9, 13

  • Add(ing) 4 every time

\bold{a(1) \ = \ 1}

\bold{\bold{a(n) \ = \ a(n \ + \ 1) \ + \ 4}}

5 0
2 years ago
Is it possible for an odd function to have the interval 0 infinity) as its domain?
mojhsa [17]

NO!

Prove by contradiction. First, define the the following terms:

odd function: f(-x) = -f(x)] and domain: all values of x

Proof: Suppose there f(-x) = -f(x) such that x is a negative integer, then f(-x) is a positive number <em>(-(-x) = +x)</em> and -f(x) is a negative number <em>(negative of a positive number is a negative number). </em>Since a positive number cannot equal a negative number, then this is not possible.

Answer: No

3 0
2 years ago
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Which angles are linear pairs? Check all that apply.
KengaRu [80]

Answer:

srtand trv

Step-by-step explanation:

8 0
2 years ago
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