Answer:
x = 67.2
Step-by-step explanation:
7.5/12 = 4.2/x
First, divide 7.5 by 12.
0.625 = 42/x
Next, multiply both sides by x
0.625x = 42
Next, divide by 0.625
x = 67.2
There's your answer!
Answer:
Step-by-step explanation:
Answer:
8x * sqrt(5x)
Step-by-step explanation:
Factor 320 into its prime factors: (2^6) * 5
To simplify sqrt we extract factors which are squares and the rest remain inside the root: (2^6) will be extracted (2^6=64) and 5 will remain inside
Take sqrt of factors being extracted: sqrt64= 8
Now it looks like this: 8 * sqrt(5x^3)
SQRT(x^3) is the same as x * SQRT(x)
Therefore, sqrt (320x^3)= 8x*sqrt(5x)
The hotel had 289 guests on the day in question. The z-score is a measure of how many standard deviations a data point is away from the mean of the distribution.
In this case, we are given that the number of guests in a hotel per day follows a normal distribution with a mean of 220 and a standard deviation of 30, and that the z-score of the number of guests on a particular day was 2.3.
Using the formula for z-score, we have:
z = (x - mu) / sigma
where x is the number of guests on the given day, mu is the mean of the distribution, and sigma is the standard deviation of the distribution.
Substituting the given values, we have:
2.3 = (x - 220) / 30
Multiplying both sides by 30, we get:
69 = x - 220
Adding 220 to both sides, we get:
x = 289
Therefore, the hotel had 289 guests on the day in question.
Find out more about standard deviations
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Answer:
0.406 (3 d.p)
Step-by-step explanation:
Let's call the cost of each candy bar "x" dollars. We can set up an equation to represent the situation:
6.50 + 12x = 65
This equation represents the problem. Now, we can solve for "x" to find the cost of each candy bar.
6.50 + 12x = 65
12x = 65 - 6.50
12x = 58.50
x = 58.50/12
x = 0.406 (3 d.p)
d.p means decimal point
Mark me brainliest
B. 5x – 10y = 90
C. 90 – 10y = 5x
D. 90 + 10y = 5x
It's the 3rd equation (which is in a disguised form)...we have
90 - 10y = 5x add 10y to both sides
90 = 5x + 10y
This says that the nmber of tmes she hiked the 5 mile trail (x) plus the number of times she hiked the 10 mile trail (y) = 90 miles
Answer Choices:
All real numbers except 11
x > 11
All real numbers
x ≤ 11
Answer:
Option D, x ≤ 11
Step-by-step explanation:
We have to determine the domain of the function.
f(x) =
This function is defined for the positive values of ( 11 - x ) because under root of negative terms is not defined.
Therefore, domain of the given function will be ( 11 - x ) ≥ 0
x ≤ 11
Option D, x ≤ 11 is the answer.