Answer:
The value of x = 9
Step-by-step explanation:
Given the angles of the triangle
We know that the sum of angles of a triangle is 180°.
Therefore,
(13x+2)° + (5x-7)° + (3x-4)° = 180°
13x+2 + 5x-7 + 3x-4 = 180°
21x + 2 - 11 = 180°
21x - 9 = 180°
21x = 180° + 9
21x = 189
divide both side sby 21
21x/21 = 189/21
x = 9
Therefore, the value of x = 9
Answer:
It depends on the value of x.
Step-by-step explanation:
11x less than or equal to 22? It depends on the value of x.
<u>Answer:
</u>
The probability of rolling a number greater than 4 or less than 3 is 
<u>Solution:
</u>
In the given question there are two events as follows:
(a) Rolling a number greater than 4 i.e. A = {5,6}
(b) Rolling a number less than 3 i.e. B = {1,2}
Since a die has 6 numbers,
P(A) = 
where P(A) is the probability of occurrence of event A and P(B) =
Since, Event A and Event B has nothing in common therefore they are mutually exclusive events.
P(A∪B) = P(A) + P(B)
Therefore the probability of getting a number greater than 4 or less than 3 is
Step-by-step explanation:
A) width × length = area
300 ft × l = 48000 sq ft
B) l = 48000 ÷ 300
l = 160 ft
Answer:
As can be seen, there has been a rise in the proportion of the population with HIV positive, from 7.5% to 9.94%.
Step-by-step explanation:
Given that a national organization sets out to investigate the change in prevalence of HIV since the last census in 2010, ya total of 4,706 participants were interviewed and a total of 468 responses were confirmed to be HIV positive, assuming that the data from the census indicated that the prevalence of HIV in the particular population was 7.5%, to determine if the proportion of the prevalence of HIV has changed (is equal to 7.5%) the following calculation should be performed:
4706 = 100
468 = X
468 x 100/4706 = X
46,800 / 4,706 = X
9.94 = X
Therefore, as can be seen, there has been a rise in the proportion of the population with HIV positive, from 7.5% to 9.94%.
