Answer:
(4x^3)^3
Step-by-step explanation:
64x^9
divide each exponent by 3 to get a cube
((64^-3)x^3)^3
simplify
(4x^3)^3
If the price of the yogurt is directly proportional to the weight of the purchase, then it can be expressed as:
Price of yogurt = weight of purchase
With the given above, it can be further expressed as:
$5.04 = 12 oz
These can be expressed in ratio form, which is:
5.04/12
Thus, if the cup weighs 8 oz and we don't know how much it costs, then the ratio should be:
n = 8 oz, or in fractions:
n/8
After this, simply equate the two and cross multiply.
5.04 / 12 = n/8
5.04(8) = 12n
40.32 = 12n
Then solve for n:
40.32 /12 = 12n/12
n = 3.36.
Thus, the 8 oz. cup of yogurt costs $3.36.
Answer:
a) 2.188
b) John's rent is not an outlier
c) His rent has to be higher than $1,235 to be an outlier
Step-by-step explanation:
The mean monthly rent of students at Oxnard University is $780 with a standard deviation of $208.
(a) John’s rent is $1,235. What is his standardized z-score?
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score = $1235
μ is the population mean = $780
σ is the population standard deviation = $208
Hence,
z = 1235 - 780/208
z = 2.1875
Approximately to 3 decimal place = 2.188
(b) Is John’s rent an outlier?
No it isn't
(c) How high would the rent have to be to qualify as an outlier?
John’s rent would have to be higher than $1235
Answer: x= 8
Step-by-step explanation:
According to the converse of basic proportionality theorem,
If in ΔABC , DE is a line drawn from AB to AC such that 
then, DE is parallel to the third side BC.
Applying converse of basic proportionality theorem, to get NO parallel to KJ, we must have
Hence, the value of x should be 8, so that Line segment N O is parallel to line segment K J.
the frequency of the sinusoidal graph is 2 in 2 π interval
Step-by-step explanation:
The frequency of the graphs refers to the number of the cycles, the graph completes in a given fixed interval.
We already know the formula that
P= (1/ F)
Thus, F= (1/ P)
Where F= frequency and P= Period
Period is the horizontal length (x- axis component) of one complete cycle.
Thus, Observing the above graph
We find that the graph completes 1 cycle in π interval and 2 cycles in 2π interval
Thus, the frequency of the sinusoidal graph is 2 in 2 π interval
