
Multiply both sides by 8.
2(3x) + 8(4)= 5
6x+32=5
Subtract 32 from both sides
6x=-27
Divide both sides by 6.
x=-27/6
Simplify
x=-9/2
Answer: x=-9/2
Answer:
The answer is

Step-by-step explanation:
Equivalent fractions are set of fractions which have the same value when simplified.
The equivalent fraction to 6/8 whose numerator is 16 less than its denominator can be obtained through two basic methods below.
<u>Method 1</u>
Multiply the numerator and denominator by 8 respectively.

The numerator being 16 less than the denominator is:

<u>Method 2</u>
Find the equivalent fraction to 6/8 whose numerator is 16 less than its denominator by continuous multiplication approach. In other words, multiply 6/8 till you arrive at an equivalent fraction whose numerator is 16 less than its denominator. Simply multiply 6/8 by 2, 3, 4, 5, 6, 7, 8. Thus:

The difference between the numerator and denominator of the equivalent fractions are: -2, -4, -6, -8, -10, -12, -14, -16
Hence, 48/64 is the equivalent fraction to 6/8 whose numerator and denominator difference is less than 16.
That is,

Such that 48 - 64 = -16.
Answer:
A = 78 cm²
Step-by-step explanation:
substitute h = 6 , b₁ = 6, b₂ = 10 into the formula
A =
× 6 × (6 + 10) = 3 × 26 = 78 cm²
Answer:
a) 0.13533
b) 0.36788
Step-by-step explanation:
Let X be the random variable that measures the lifetime of a bulb.
If the random variable X is exponentially distributed and X has an average value of 1000 days, then its probability density function is
and its cumulative distribution function (CDF) is
(a) Find the probability that the light bulb will function for more than 2000 days
(b) Find the probability that the light bulb will function for more than 2000 days, given that it is still functional after 500 days
Let A and B be the events,
<em>A = “The bulb will last at least 2000 days”
</em>
<em>B = “The bulb will last at least 500 days”
</em>
We want to find P(A | B).
By definition P(A | B) = P(A∩B)P(B)
but B⊂A, so A∩B = B and
We have
hence,