In statistics the word "and" symbolized for multiplaction operation and the word "or" symbolized addition operation. so the number of ways can bob choose a fruit from the bowl is :
P = ( 7 x 10 ) + ( 10 x 4 ) + (4 x 7)
P = 138 ways he can choose a fruit from the bowl
The answer is 5 gallons
Its very simple.
Turn 60% and 10% into decimals ( .60 and .10)
Multiply 8 gallons ( brand A ) by .60 and you get 4.8 gallons
Multiply 2 gallons ( brand B ) by .10 and you get .2 gallons
Add them up and you get 5 gallons.
Split up the interval [2, 5] into
equally spaced subintervals, then consider the value of
at the right endpoint of each subinterval.
The length of the interval is
, so the length of each subinterval would be
. This means the first rectangle's height would be taken to be
when
, so that the height is
, and its base would have length
. So the area under
over the first subinterval is
.
Continuing in this fashion, the area under
over the
th subinterval is approximated by
, and so the Riemann approximation to the definite integral is
and its value is given exactly by taking
. So the answer is D (and the value of the integral is exactly 39).
Answer:
Step-by-step explanation:
We first have to write an expression for each of the types of coins in terms of one of them. If he has 8 more dimes than nickels, let's call nickels "x". That means that dimes is "x + 8". The value of a nickel is .05, so the expression relating the number of nickels to the worth of the nickel is .05x. The value of a dime is .10, so the expression relating the number of dimes to the worth of the dime is .10(x + 8). The total value of these coins is 1.70:
.05x + .10(x + 8) = 1.70 and
.05x + .10x + .8 = 1.70 and
.15x = .9 so
x = 6
That means we have 6 nickels and 14 dimes.
Answer:
137 degrees since it says 47
Step-by-step explanation:
