Answer:
Step-by-step explanation:
Previous Iron content per serving=1.2 mg
Current Iron content per serving=1.8 mg
Increase in Iron content per serving=1.8-1.2=0.6 mg
Percentage of Iron Increase
Rayna is building a tapered staircase using wooden boards. The bottom stair is 3 ft wide, and the top stair is 2 ft wide. Each s
1 answer:
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Answer:
(a) Yes, because the probabilities add up to 1.
(b) The probability that <em>X</em> < 40 is 0.80.
Step-by-step explanation:
The probability distribution of the random variable <em>X</em> is:
<em> x</em>: 15 | 22 | 34 | 40
f (x): 0.14 | 0.40 | 0.26 | 0.20
(a)
The properties of a probability distribution are:
- 0 ≤ f (x) ≤ 1
- ∑ f (x) = 1
All the probability value are more than 0 and less than 1.
Compute the sum of all the probabilities as follows:
The sum of all probabilities is 1.
Thus, the probability distribution is valid.
(b)
Consider the probability distribution table.
Compute the probability of <em>X</em> < 30 as follows:
P (X < 40) = P (X = 15) + P (X = 22) + P (X = 34)
Thus, the probability that <em>X</em> < 40 is 0.80.
Answer:
$44,313.75
Step-by-step explanation:
First, we need to turn the km into meters. There are 1000 meters in a km meaning we need to multiply each of these values by 1000.
0.101 km * 1000= 101 meters
0.065 km * 1000 = 65 meters
Now we need to multiply these values together to find the area of the field
101m * 65m = 6,565
Finally, we need to multiply this area by the cost per square meter
6,565 / 6.75 = $44,313.75
The total repair will cost $44,313.75
a. We're looking for such that
b. Integrating with respect to will make things easier.
(where we take the positive square root because we know )
Now we want to find such that
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form or
where
k is the constant of proportionality
In this problem we have
so
the constant of proportionality k is equal to
therefore
<u>the answer is</u>