Answer:
The answer is D
Step-by-step explanation:
Hi there!
Begin by distributing the 5:
5(2x) + 5(-12) = -90
Simplify:
10x - 60 = -90
Add 60 to both sides:
10x = -90 + 60
10x = -30
Divide both sides by 10:
x = -3
Answer:
350
Step-by-step explanation:
Introduction. Percent, p%
'Percent (%)' means 'out of one hundred':
p% = p 'out of one hundred',
p% is read p 'percent',
p% = p/100 = p ÷ 100
120% = 120/100 = 120 ÷ 100 = 1.2
100% = 100/100 = 100 ÷ 100 = 1
Percentage of 120% of what number = 420?
120% × ? = 420
? =
420 ÷ 120% =
420 ÷ (120 ÷ 100) =
(100 × 420) ÷ 120 =
42,000 ÷ 120 =
350
<h2>Proof</h2><h3>How do we check the result?</h3>
If 120% × 350 = 420 =>
Divide 420 by 350...
... And see if we get as a result: 120%
<h3>Note:</h3>
Multiply a number by the fraction 100/100,
... and its value doesn't change.
100/100 = 100 ÷ 100 = 1
n/100 = n%, any number.
<h2>Hope it is helpful....</h2>
Answer:
Inequality Form:
2
−
√
11
<
x
<
2
+
√
11
Interval Notation:
(
2
−
√
11
,
2
+
√
11
)
Step-by-step explanation:
Solve the inequality for x by finding a
, b
, and c of the quadratic then applying the quadratic formula.
Answer:
Step-by-step explanation:
Let x be a random variable representing the flight arrival time from Boston to New York.
For a uniform probability distribution, the notation is
X U(a, b) where a is the lowest value of x and b is the lowest value of x
The probability density function, f(x) = 1/(b - a)
Mean, µ = (a + b)/2
Standard deviation, σ = √(b - a)²/12
From the information given, the time difference in minutes is 9:57 - 9:07 = 50 minutes. Therefore,
a = 0
b = 50
µ = (0 + 50)/2 = 25
σ = √(50 - 0)²/12 = 14.43
b) converting to minutes, it is 9:30 - 9:07 = 23 minutes
the probability that a flight arrives late(later than 9:30 am) is expressed as P(x > 23)
f(x) = 1/(50) = 0.02
P(x > 23) = (50 - 23)0.02 = 0.54
