Answer:
7 weeks
Step-by-step explanation:
500-200=300. 300 divided by 40 is 7.5 so 7 weeks
The number of possible seats is an illustration of permutation
There are 1728 possible sitting arrangements
<h3>How to determine the number of seats</h3>
From the question, we have the following highlights:
- Chris can only take 1 seat (i.e. the central seat)
- Jo can take 2 seats (i.e. the seats adjacent the central seat)
- Alex, Barb and Dave can take 3! number of seats
- Eddie, Fred, and Gareth can take 3! number of seats on the right of Chris.
- The remaining 4 adults do not have preference, then they can seat in 4! ways
So, the number of sitting arrangement is:
Evaluate the product
Hence, there are 1728 possible sitting arrangements
Read more about permutation at:
brainly.com/question/12468032
Answer:
By the Empirical Rule, in 99.7% of the games that Aubree bowls she scores between 148 and 232Step-by-step explanation:The Empirical Rule states that, for a normally distributed random variable:68% of the measures are within 1 standard deviation of the mean.95% of the measures are within 2 standard deviation of the mean.99.7% of the measures are within 3 standard deviations of the mean.In this problem, we have that:Mean = 190Standard deviation = 14Using the empirical rule, what percentage of the games that Aubree bowls does she score between 148 and 232?148 = 190 - 3*14So 148 is 3 standard deviations below the mean.232 = 190 + 3*14So 232 is 3 standard deviations above the meanBy the Empirical Rule, in 99.7% of the games that Aubree bowls she scores between 148 and 232
Use the Pythagorean theorem, tan is y/x so y = -3 and x= -2. Because cos is negative and R is always positive. You need to find R- which is the hypotenuse;
3^2 + 2^2 = r^2
9 + 4 = r^2
13 = r^2
√13 = r.
So you already have tan<span>θ,
cot</span><span>θ= 2/3
sin</span>θ= -3/√13 BUT
you have to rationalize, so you get -3 √13/ 13
cscθ= √13/ -3
cosθ= -2/ √13 BUT
you have to rationalize, so you get -2√13/ 13
secθ= √13/ -2
Answer:
C(2, 2) is the solution to both lines A and B.
Step-by-step explanation:
Line A is given as:
A straight line labeled A joins the ordered pair 3, 0 and the ordered pair 0, 6.
We know that the equation of a line passing through (a,b) and (c,d) is calculated as:
Hence, the equation of line is:
Hence, equation of line A is:
Similarly B is a line passing through (0,0) and (5,5).
Hence, the equation of line B is:
So, from the graph we observe that, the point of intersection of the two lines is (2,2).
Thus, option C is correct.
