Hi there! To solve this question, we can write and solve a proportion. We put shadow/height = shadow/x. We do this, because we're looking for the height of the pole and we already know the how big the shadow of the pole is. The yards need to be converted to feet. There are 3 feet in one yard and 3 * 7/3 is 21/3 or 7 in simplest form. The pole casts a shadow 7 feet tall. Plug in the numbers like this: 3/6 = 7/x. Cross multiply the values in order to get 3x = 42. now, you divide each side by 3 to isolate the "x". When you, you get x = 14. There. The height of the pole is 14 feet. The answer is C: 14 feet.
Given the isosceles right triangle in which each of its legs has a measure of 4:
Let c = hypotenuse
a = one of the legs of the triangle
b = the other leg of the triangle
Use the Pythagorean Theorem to solve for the measure of the hypotenuse:
c^ 2 = a^2 + b^2
c^ 2 = (4)^2 + (4)^2
c^ 2 = 16 + 16
c^2 = 32
Next, take the square root of each side of the equation to solve for c:
√(c^2) = √(32)
c = 4√(2)
Therefore, the correct answer is Option 3) 4√(2).
Answer:
The length of 'x' is 4
Step-by-step explanation:
We can use the pythagorean theorem to solve this.
The pythagorean theorem is:
Therefore x = 4
Answer:
Step-by-step explanation:
1) 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".
2) 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:
For what proportion of groups will at most two of the households have cable tv?
So we want to find this probability:
Answer:
40
Step-by-step explanation:
In word problems, the word "of" usually means multiply. Thus, for example, 10% of $50 is $5. This is because we can write 10% as 0.10 or as 10/100 (which is 1/10) and then multiply: (1/10)(50) = 5
So, we often see equations like:
R = (1/2)D meaning R is 50% of D, or R is half of D
Let x = the number we want to find
This problem says:
"12 is 30% of what number?"
12 = (30/100) * x
12 = (3/10)x
(10/3)12 = x [multiply both sides by (10/3)]
40 = x
Checking (very important):
Is 12 = (3/10)(40) ?
12 = (3)(4) ?
12 = 12 ? yes
