Answer:
X=-8
Step-by-step explanation:
113°-69°-52=x
-8=x
% times amount of each part = % times amount of mix
x = amount of 10%
100 = amount of 100%
x + 100 = amount of 40% mix
10x + 100(100) = 40(x + 100)
10x + 10,000 = 40x + 4,000
-10x - 4000.....-10x - 4000
------------------------------------- 6000 = 30x
so x = 6000 ÷ 30 = 200 mL
Answer:
x = -1
Step-by-step explanation:
Subtract 3 from both sides:
6x = 2x - 4
Subtract 2x from both sides:
4x = -4
Divide both sides by 4:
x = -1
(by the way, this is an equation, not an inequality - equations use =, inequalities use < > ≤ ≥)
Answer: D. 0.8202
Step-by-step explanation:
We would assume a binomial distribution for the number of horses presenting with West Nile virus. The formula is expressed as
P(x = r) = nCr × p^r × q^(n - r)
Where
x represent the number of successes.
p represents the probability of success.
q = (1 - p) represents the probability of failure.
n represents the number of trials or sample.
From the information given,
p = 15% = 15/100 = 0.15
q = 1 - p = 1 - 0.15
q = 0.85
n = 10
Therefore,
P(x ≤ 2) = P(x = 0) + P(x = 1) + P(x = 2)
P(x = 0) = 10C0 × 0.15^0 × 0.85^(10 - 0) = 0.1969
P(x = 1) = 10C1 × 0.15^1 × 0.85^(10 - 1) = 0.3474
P(x = 2) = 10C2 × 0.15^2 × 0.85^(10 - 2) = 0.2759
P(x ≤ 2) = 0.1969 + 0.3474 + 0.2759
= 0.8202
I believe the answer would be this:
-y^2 - 21
