The correct expression would be displayed as 24x or 24 * x
The word "product" means two or more numbers are being multiplied.
In algebra, when we do not know the value of a number (a variable) we typically display it as x.
"The product of 24 and a number" would translate to 24x (or 24 * x)
Answer:
0.2755
Step-by-step explanation:
We intend to make use of the normal approximation to the binomial distribution.
First we'll check to see if that approximation is applicable.
For p=10% and sample size n = 500, we have ...
pn = 0.10(500) = 50
This value is greater than 5, so the approximation is valid.
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The mean of the distribution we'll use as a model is ...
µ = p·n = 0.10(500)
µ = 50
The standard deviation for our model is ...
σ = √((1-p)µ) = √(0.9·50) = √45
σ ≈ 6.708204
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A continuity correction can be applied to better approximate the binomial distribution. We want p(t ≤ 9.1%) = p(t ≤ 45.5). For our lookup, we will add 0.5 to this limit, and find p(t ≤ 46).
The attached calculator shows the probability of fewer than 45.5 t's in the sample is about 0.2755.
Answer: find the answer in the explanation
Step-by-step explanation:
Given that the transformed graph is of function f(x) = (x + 2)^4 + 6 and the parent function g(x) = x^4
The transformed graph function g(x) was shifted two (2) units to the left and was translated six (6) units upward.
When the function is shifted to the right, the factor of x will be negative and when it's shifted to the left, the factor of x will be positive.
Therefore, function g(x) = x^4 is shifted 2 units to the left and translated 6 units upward to form f(x) = ( x + 2 )^4 + 6.
The aim here is to get all of the x's onto one side and the numbers onto the other side:
We can start by subtracting x from each side
2x+11=1
We can then subtract 11 from both sides
2x=-10
Finally, we can divide both sides by 2 leaving us with:
x = -5
Distance = Rate * Time where the asterisk represents multiplication
We can isolate the rate if we divide both sides by the time. So we'll end up with this formula
Rate = Distance/Time
which can be written as
r = d/t
The distance is measured in feet while the time is measured in minutes. The rate r is measured in feet per minute. If the speed was 10 feet per minute, then this would mean that the object travels 10 feet every minute. Or put another way, when one minute passes by, the object has traveled 10 feet.
How did I get "feet per minute" from the equation r = d/t?
Well the units for "d" are in feet, and the units for "t" are in minutes
So writing "d/t" would turn into "feet/minute" when we think of the units only (ignore the actual numbers). Then we rewrite "feet/minute" into "feet per minute" as they mean the same thing, just written different ways.
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Answer: The units for the speed or rate are in feet per minute