Answer:
weeks or 
weeks
Step-by-step explanation:
To do this we can set up a proportion
This will tell us how many weeks are in 2/5 of a year
Let's evaluate this
We cannot simplifiy this anymore, so we will leave it as an improper fraction, or a mixed number as shown below
weeks
Answer:
x = 7
Explanation:
We are given
22 + 54x = -20 + 60x
We can add 20 on both sides using the Addition Property of Equality
42 + 54x = 60x
Subtract both sides by 54x using the Subtraction Property of Equality
42 = 6x
Divide both sides by 6 using the Division Property of Equality
x = 7
Answer:
23
Step-by-step explanation:
Got u fam
Answer:
a
b
Step-by-step explanation:
From the question we are told that
The sample size is n = 103
The sample mean of sag is 
The sample mean of swells is 
The standard deviation of sag is 
The standard deviation of swells is 
The number of swell for a randomly selected transformer is k = 100
The number of sag for a randomly selected transformer is c = 400
Generally the z-score for the number of swells is mathematically represented as
=> 
=>
Generally the z-score for the number of sags is mathematically represented as
Hi!
This is a fun one, as it delves into basic trigonometry.
We're going to use the Pythagorean theorem here, which says that for right triangles where "c" is the hypotenuse,
a² + b² = c²
We have to split this large triangle into two parts, both of which are right triangles. (This is why they drew a line in the middle to tell you that the larger triangle is composed of two right triangles.)
Let's do the one on the right first.
We know that the length of the hypotenuse is 10, and that the length of one of the legs is 6.5. If we plug this into our equation, we'll get the length of the other leg. I'm choosing "b" to be 6.5, but it really doesn't matter if you pick "a" or "b", so long as you reserve "c" for the hypotenuse (longest side).
a² + 6.5² = 10²
a² + 42.25 = 100
a² = 57.75
√a² = √57.75
a ≈ 7.6
Therefore, the length of DC is about 7.6.
Find the length of AD using the same method (7.5 is the hypotenuse "c", and 6.5 is one of the legs "a" or "b"). Then, once you have AD, add the lengths of AD and DC to get AC.
Have a great one!
