Answer:
X = 6
Step-by-step explanation:
Answer:
0.053
Step-by-step explanation:
This is a geometric distribution problem.
I'm geometric distribution problem,
E(X) = 1/p
Where;
E(X) is expected value and p is probability of success
Thus;
1/p = 12.5
p = 1/12.5
p = 0.08
Now, to find the probability that the sixth person tested is the first one with high blood pressure, we will use the probability formula in geometric distribution which is;
P(X = k) = qⁿ•p
q = 1 - p
q = 1 - 0.08
q = 0.92
Thus;probability that the sixth person tested is the first one with high blood pressure will be expressed as;
P(X > 5) = (0.92^(5)) × 0.08
P(X > 5) = 0.053
When two angles are a linear pair, the sum of their measures is 180°:
∡1 + ∡ 2 = 180°
Substituting the expressions for the angles, you get:
<span>5y − 8 + 12 + 6y = 180
Solve for y:
11y = 176
y = 176/11
Now, substitute this value in the expression for </span>∠2, which is the one we are interested in:
∡2 = 12 + 6y = 12 + 6×(<span>176/11) = 108°
When two angles are vertical angles, it means that they share the same vertex and they have the same measure, therefore:
</span>∡3 = ∡2 = 108°
Hence, the correct answer is <span>C) 108°. </span>
A / b = -2
Take note:
to have a quotient with at negative sign, both a & b must have opposites signs. a can be a positive number while b is a negative number or vice versa. If both a and b have the same sign, its quotient will be a positive number.
Let us disregard the sign.
To arrive at the answer of 2, a must be twice the amount of b. meaning a = 2b.
For example: look for a if b is equal to 2. a = 2(2) ; a = 4.
a / b = 2
4 / 2 = 2
2 = 2
Now, we consider the sign of both numbers. a can be 4 while b can be -2 OR vice versa.
a / b = -2
4 / -2 = -2 or -4 / 2 = -2
Answer:
7
Step-by-step explanation:
On a military clock the difference between a number and it's opposite is always 12
19 - x = 12
19 - 12 = x
7 = x