The first step is:
- determine how far from the house is young equestrian at noon.
2 x 10 = 20 miles
15 t = 20 + 10 t
15 t - 10 t = 20
5 t = 20
t = 20 : 5
t = 4 hours
Answer: at 4:00 PM.
Your answer would be $28.02.
The length of side of garden are 76 feet and 49 feet
<em><u>Solution:</u></em>
Given that, Elias has decided to fence in a garden that is in the shape of a parallelogram
Measure of one side = 76 feet
250 ft of fencing is needed to enclose the garden
Therefore, perimeter = 250
<em><u>The perimeter of parallelogram is given by:</u></em>
Perimeter = 2(a + b)
Where, a and b are the length of sides
Here, a = 76
b = ?
<em><u>Substituting in formula, we get</u></em>
250 = 2(76 + b)
250 = 152 + b
2b = 250 - 152
2b = 98
b = 49
Thus the length of side of garden is 49 feet
Answer:
35
Step-by-step explanation:
all are obeying a constant ratio
- copper 81
- tin 14⇒?
- lead 5
- total 100 ⇒250
- ?=250*14/100=35
Answer:
We can find the individual probabilities:
And replacing we got:
![P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178](https://tex.z-dn.net/?f=P%28X%20%5Cgeq%205%29%20%3D%201-%5B0.00114%2B0.009282%2B0.0358%2B0.0869%2B0.149%5D%3D%200.7178)
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find this probability:

And we can use the complement rule:
We can find the individual probabilities:
And replacing we got:
![P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178](https://tex.z-dn.net/?f=P%28X%20%5Cgeq%205%29%20%3D%201-%5B0.00114%2B0.009282%2B0.0358%2B0.0869%2B0.149%5D%3D%200.7178)