Answer:
If every line parallel to two lines intersects both regions in line segments of equal length, then the two regions have equal areas. In the case of your problem, every line parallel to the bases of the two parallelograms will intersect them in lines segments, each with a width of ℓ.
Answer:
The number of ways this can be done is 1,260 ways
Step-by-step explanation:
In this question, we are asked to calculate the number of ways in which the letters of the word balloon can be arranged.
To do this, we take into consideration those letters that are repeated and the number of times repeated. The letters are l and o and are repeated two times each.
The number of ways = 7!/2!2! = 5040/4 = 1,260 ways
Answer:
The p value for this case would be given by:
For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis so then we can conclude that the true proportion is significantly higher than 0.42
Step-by-step explanation:
Information given
n=1045 represent the random sample selected
X=502 represent the college graduates with a mentor
estimated proportion of college graduates with a mentor
is the value that we want to test
z would represent the statistic
represent the p value
Hypothesis to test
We want to test if the true proportion is higher than 0.42, the system of hypothesis are.:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info we got:
The p value for this case would be given by:
For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis so then we can conclude that the true proportion is significantly higher than 0.42
Answer:
Step-by-step explanation:
-2x²=-8x+8 means : -2x²+8x-8
the discrinant of the quadratic equation is : delta = b²-4ac
when a=-2 and b=8 and c= -8
calculate delta = (8)²-4(-2)(-8) ......continu
Answer:
2,095,426.517
Step-by-step explanation:
From the question above we are required to find the product of 698475.50585057 and 3
Therefore the product can be calculated as follows
698475.50585057 × 3
= 2,095,426.517
Hence 698475.50585057 multiplied by 3 is 2,095,426.517
