Start off by distributing the numbers into the parentheses:
5(-3x - 2) - (x - 3) = -4(4x + 5) + 13
-15x - 10 - (x - 3) = -16x - 20 + 13
(Note: It's super important to be careful when opening up negative parentheses! -(x-3) is not just - x - 3, it is actually -x + 3 since the negative is distributed in every number!)
-15x - 10 - x + 3 = -16x - 20 + 13
-16x - 7 = -16x - 7
-16x = -16x
0 = 0
There is an infinite number of solutions in this equation.
(When you get 0=0 when solving for a variable, that means that said variable will have infinite solutions, that is, any number plugged into the equation will work)
Answer:
It is a consistent way of measuring the amount of alcohol in a drink.
Step-by-step explanation:
A standard drink measure is principally used to measure the amount of alcohol in a drink. It may be referred to as equalling the amount you of an alcoholic drink. The standard drink measure contains approximately 14 grams of alcohol. Hence, with with the standard drink measure, a consumer obtain a consistent measure of the alcohol content he/she is consuming. The standard drink measure is an alcohol related measure and not just any drink or food guage.
1) How many 3/4 does it take to make 9/2?
Now look at this, 3/4 x 6 = 4 1/2. 4 1/2 is the same as 9/2
3/4 + 3/4 + 3/4 + 3/4 + 3/4 + 3/4 ---> takes 6, 3/4's to make 9/2
2) How many 3/4's go into 9/2?
This is the same question as the 1st one so the answer is 6 :)
3) 9/2 divided by 3/4 = ??
Use the KEEP< CHANGE< FLIP method, so it turns into I
I
I
I
9/2 x 4/3 < ------------------------------------- I
This is equal to 36/6 which is 6 :)
The answer is 6 for numbers 1, 2, and 3 :)
Answer:
27
Step-by-step explanation:
Answer:
H0 : μ = 0.5
H0 : μ > 0.5
Kindly check explanation
Step-by-step explanation:
H0 : μ = 0.5
H0 : μ > 0.5
We perform a right tailed test :
Sample proportion :
Number of games won, x = 142
Number of games, n = 250
phat = x / n = 142 / 250 = 0.568 = 56.8%
Yes, it is consistent
Test statistic :
(phat - p) * √Phat(1-Phat)/n
1 -Phat = 1 -0.568 = 0.432
(0.568 - 0.5) /√(0.568*0.432)/250
0.068 / 0.0313289
= 2.17
The Pvalue using the z test statistic :
Pvalue = 0.015
α = 0.03
Since ;
Pvalue < α ; We reject the null and conclude that teams tend to win more often when they play at home.
