Answer:
Our score = 0.60, Amanda's score = 0.25
Step-by-step explanation:
For Amanda
μ = 15 , σ = 4
z- score for X = 16 is (From z table)
z = (X - μ)/σ = (16 - 15)/4 = 0.25
For us
μ = 310 , σ = 25
z score for X = 325 (From z table)
z = (325-310)/25 = 0.60
Since our z score is better than Amanda's z score, we can say we did better
Answer:
Step-50*t + 30*m = 1500, (1) (pounds)
4*t + 3*m = 138. (2) (cubic feet)
From (2), express 3m = 138 - 4t, and substitute it into (1). You will get
50t + 10*(138-4t) = 1500, or
10t = 1500 - 1380 ---> 10t = 1120 ---> t = 112 TVs.
From this point, find the number of microwaves on your own.
step by-step explanation:
A powerful way to find out is to solve the equation. Let's try that.
3 (d + 11) = 6 (d + 33)
Eliminate the parentheses: 3d + 33 = 6d + 198
Subtract 3d from each side: 33 = 3d + 198
Subtract 198 from each side: -165 = 3d
Divide each side by 3 : - 55 = d
There it is ... the solution to the original equation.
'd' has to be -55, otherwise the original equation isn't a true statement.
-55 is the ONLY number that 'd' can be. If you write in any other number
for 'd', the equation will be false.
For example, less see what the equation says when d=2 :
3(2 + 11) = 6(2 + 33)
3( 13 ) = 6( 35 )
39 = 210
Is that a true statement ? Is 39 equal to 210 ?
No. 39 and 210 are not equal. They are different.
So the equation is not true when d = 2 .
The equation is true ONLY when d = -55 .
The equation has exactly one solution.
For the answer to the question above, I'll provide a computation to the problem given and it will look like this.
<span>
M = 2345 × (0.0204166667 (1 + 0.0204166667)^(12×7)) / ((1 + 0.0204166667)^(12×7) - 1)
So the answer is
M= </span><span>$58.61
I hope my answer helped you with your problem. Have a nice day!
</span>
For a), this is clearly a given as it is literally to the right of where it says “Given:”
For b), since ON bisects ∠JOH, this means that it splits it into two separate angles - JON and HON, which are similar due to that bisects mean that it splits it equally into two halves
For c), since NO is the same thing as NO, it is equal to itself
For d), since AAS (angle-angle-side) congruence states that if there are two angles that are congruent (proved in a) and b) ) as well as that a side is congruent (proved in c) ), two triangles are congruent
For e), since two triangles are congruent, every side must have one side that it matches up to in the other triangle. As the opposite side of angle H is JO and the opposite side of angle J is OH, and ∠J=∠H, those two are congruent. As JN and HN are the two sides left, they must be congruent.
Feel free to ask further questions!
