1/6 of an hour is equivalent to 10/60 or 10 minutes.
To find out how much 3/4 of an hour is, change the denominator of both fraction so that they match up. We can make this easier by multiplying 4 by 15 to get 60 (hence an hour) and since we multiplied 4 by 15, we also need to multiply 3 by 15 which gets us 45.
We end up with 10/60 and 45/60 or 10 minutes and 45 minutes.
Half of 10 is 5 so we know we'll have a decimal of .5 in our answer.
4 times 10 equals 40 and 40 plus 5 equals 45, so 4.5.
C) f(x) = -1/2 sin x is the answer.
Answer:
(a) 0.5899
(b) 0.9166
Step-by-step explanation:
Let X be the random variable that represents the height of a woman. Then, X is normally distributed with
= 62.5 in
= 2.2 in
the normal probability density function is given by
, then
(a)
= 0.5899
(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2)
(b) We are seeking
where n = 37.
is normally distributed with mean 62.5 in and standard deviation
. So, the probability density function is given by
, and
= 0.9166
(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2/sqrt(37))
You can use a table from a book to find the probabilities or a programming language like the R statistical programming language.
Answer:
P= -2x +46
Step-by-step explanation:
the relation between price and demand is
P= mx +b ........................1
when demand is 10 shirts price is $26
when demand is 20 shirts price is $6
firstly put P= 26 and x= 10 in 1
26= 10m + b.......................2
secondly put x= 20 and P= 6 in 1
6= 20m + b ............................3
solving 2 and 3 we get
m = -2
putting this value of m in either of 2 and 3 to get b
b= 46
so the final relation obtained by putting m= -2 and b= 46 in 1 we get
P= -2x +46