Answer:
x = 4
Step-by-step explanation:
Carry out the multiplication:
5(х – 10) = 30 — 15х => 5x - 50 = 30 - 15x
Combining the x terms, we get:
20x - 50 = 30
Combining the constants on the right side:
20x = 80
Dividing both sides by 20 yields x = 4 (second given answer)
Answer:
55
Step-by-step explanation:
The three angles form a straight line, so they add to 180.
x + x + 70 = 180
Combine like terms
2x+70 =180
Subtract 70 from each side
2x+70-70 =180-70
2x= 110
Divide by 2
x = 55
SQT = x
So SQT = 55
Since, the probability of success during a single event of a geometric experiment is 0.34.
We have to find the probability of success on the 6th event.
Since it is a geometric experiment. So, when a discrete random variable 'X' is said to have a geometric distribution then it has a probability density function (p.d.f.) of the form:
P=
, where q = 1 - p
So, now
P = 
where 'p' is the probability of success and 'q' is the probability of failure and x is the number of events.
Since the probability of success (p)is 0.34
Therefore, probability of failure(q)= 1 - p
= 1 - 0.34
= 0.66
and x = 6
So, P = 
= 
= 
= 0.0425
So, the nearest tenth of a percent of probability of success on the 6th event =
4.257 %
Rounding to the nearest tenth, we get
= 4.3%
So, Option A is the correct answer.
Answer:


Step-by-step explanation:
Let the quotient be represented by 'Q'.
Given:
The difference of a number 'y' and 16 is 
Quotient is the answer that we get on dividing two terms. Here, the first term is 40 and the second term is
. So, we divide both these terms to get an expression for 'Q'.
The quotient of 40 and
is given as:

Now, we need to find the quotient when
. Plug in 20 for 'y' in the above expression and evaluate the quotient 'Q'. This gives,

Therefore, the quotient is 10, when the value of 'y' is 20.
Answer:
30 degrees
Step-by-step explanation: