Answer:
standard form is 45x -12y -100 = 0.
Step-by-step explanation:
Given the equation is -3/2x=-2/5y-10/3.
Finding common denominator, L.C.M.(2,5,3) = 30.
Multiplying both sides by 30.
30*(-3/2x) = 30*(-2/5y-10/3)
-45x = -12y -100
Moving all terms on left side, keeping right side equal to 0.
-45x +12y +100 = 0
Making x's coefficient positive by changing all signs.
45x -12y -100 = 0
Hence, standard form is 45x -12y -100 = 0.
Answer:
Coin 1: Penny
Coin 2: Penny
Coin 3: Dime
Coin 4: Quarter
------
Coin 1: 1
Coin 2: 1
Coin 3: 10
Coin 4: 25
Step-by-step explanation:
Clue 1: 1 + 1 + 10 + 25 = 37, which is an odd number so that works.
Clue 2: 1 + 10 = 11, so that works.
Clue 3: 1 = 1 < 10 < 25 (1 is equal to 1 is less than 10 is less than 25) so that works.
Since the standard deviation for the population is known, the z-distribution is used.
<h3>When to use the t-distribution and the z-distribution?</h3>
- If the population standard deviation is known, the z-distribution is used.
- If the population standard deviation is not known, only the sample standard deviation, the t-distribution is used.
In this problem, the <u>standard deviation for the population is known</u>, hence the z-distribution is used.
More can be learned about which distribution to use, the t-distribution or the z-distribution, at brainly.com/question/15869521
#SPJ1
