Answer:
x=-11
y=-1
Step-by-step explanation:
x=4y-7
2x+9y=-31
2(4y-7)+9y=-31
8y-14+9y=-31
17=-31+14
17y=-17
y=-1
x=4(-1)-7
x=-11
Answer:
H0: p ≤ 0.50
Ha: p > 0.50
Step-by-step explanation:
The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.
For the case above;
Let p represent the proportion of households in the city that gave a charitable donation in the past year
The null hypothesis is that the proportion of households in the city that gave a charitable donation in the past year is not more that 0.50
H0: p ≤ 0.50
The alternative hypothesis is that the proportion of households in the city that gave a charitable donation in the past year is more that 0.50
Ha: p > 0.50
Answer:
First, make a list of the possible outcomes for each flip. Next, count the number of the possible outcomes for each flip. There are two outcomes for each flip of a coin: heads or tails.
Step-by-step explanation:
these are just a few
Logically, he would owe 14 less each week
Let x = # of weeks passed
Algebraic Expression: 141 - 14x =
Week 1: 141 - 14 = 127
Week 2: 141 - 14(2) = 113
Week 3: 141 - 14(3) = 99
etc.....
Hope this helps
Answer:
a. 84 < n + (n + 2) + (n + 4) < 96
b. 26 < n < 30
step-by-step explanation:
using 'n' to represent the smallest even number, the next even number would be 'n + 2' and the next even number would be 'n + 4'. so, the expression to represent three consecutive even numbers is: n + (n + 2) + (n + 4).
since the sum of the these numbers needs to be between 84 and 96, we can set up the following inequality:
84 < n + (n + 2) + (n + 4) < 96
in order to solve for 'n', we must first combine like terms:
84 < 3n + 6 < 96
subtract 6 from all sides: 84 - 6 < 3n + 6 - 6 < 96 - 6 or 78 < 3n < 90
divide 3 by all sides: 78/3 < 3n/3 < 90/3 or 26 < n < 30.
