1) x+y = 170
x-y = 26
2) Subtract the two equations from each other. Doing this you get 2y = 56.
So the value of y is 28. Then plug in the value of y into any of the two equations and solve for x.
x-28 = 26
x = 54
3) When writing solutions as an ordered pair, the x value always comes first followed by the y value. So it would be (54, 28).
Answer: P(22 ≤ x ≤ 29) = 0.703
Step-by-step explanation:
Since the machine's output is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = output of the machine in ounces per cup.
µ = mean output
σ = standard deviation
From the information given,
µ = 27
σ = 3
The probability of filling a cup between 22 and 29 ounces is expressed as
P(22 ≤ x ≤ 29)
For x = 22,
z = (22 - 27)/3 = - 1.67
Looking at the normal distribution table, the probability corresponding to the z score is 0.047
For x = 29,
z = (29 - 27)/3 = 0.67
Looking at the normal distribution table, the probability corresponding to the z score is 0.75
Therefore,
P(22 ≤ x ≤ 29) = 0.75 - 0.047 = 0.703
<span>Enter your equation (2x)(3y)(4z) = 24xyz on the website www.mathpapa.com. That site is amazing! I use it for all my algebra problems.
</span>
Answer:
[Vertex form]
Step-by-step explanation:
Given function:

We need to find the vertex form which is.,

where
represents the co-ordinates of vertex.
We apply completing square method to do so.
We have

First of all we make sure that the leading co-efficient is =1.
In order to make the leading co-efficient is =1, we multiply each term with -3.


Isolating
and
terms on one side.
Subtracting both sides by 15.


In order to make the right side a perfect square trinomial, we will take half of the co-efficient of
term, square it and add it both sides side.
square of half of the co-efficient of
term = 
Adding 36 to both sides.


Since
is a perfect square of
, so, we can write as:

Subtracting 21 to both sides:


Dividing both sides by -3.

[Vertex form]
Answer:
Isosceles
Step-by-step explanation:
Graph your triangle!
Then, do the distance formula. So from T to I is 5 units, R to I is 5 units, and T to R is 6 units. As two side lengths are congruent, the triangle is isosceles.
Hope this helps!