Answer:
x=-2,y=10
Step-by-step explanation:
y=8-x.............equation 1
4-y=-5..........equation 2
Now,
putting the value of y in equation 2,
4-(8-x)=-5
4-8+x=-5
-3+x=-5
x=-5+3
x=-2
Then,
putting the value of x in equation 1
y=8+2
y=10
Answer:
<u>Cost in US$ = 12 - 16 - 24 - 36 - 40</u>
<u>Number of tickets = 3 - 4 - 6 - 9 - 10</u>
Step-by-step explanation:
1. Let's review the information given to us for solving the question:
For a high school basketball game, it cost's US$ 12 for every 3 tickets.
It means that every ticket costs US$ 4 (12/3 = 4)
2. Let's complete the table below:
<u>Cost in US$ = 12 - 16 - 24 - 36 - 40</u>
<u>Number of tickets = 3 - 4 - 6 - 9 - 10</u>
For US$ 16 = 4 * 4
For US$ 24 = 6 * 4
For US$ 36 = 9 * 4
For US$ 40 = 10 * 4
Note: Same answer than question 14016273, answered by me.
Answer:
Combine terms with the same variable and the same exponent
Step-by-step explanation:
remember that when you combine like terms, you combine the terms with the exact same variable by adding them or subtracting them, depending on the operation they have attached to them. Terms with exponents work exactly the same way! hope this helps you :)
Answer:
The 98% confidence interval for the mean amount spent on their child's last birthday gift is between $40.98 and $43.02.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 24 - 1 = 23
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 23 degrees of freedom(y-axis) and a confidence level of 
. So we have T = 2.5
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 42 - 1.02 = $40.98.
The upper end of the interval is the sample mean added to M. So it is 42 + 1.02 = $43.02.
The 98% confidence interval for the mean amount spent on their child's last birthday gift is between $40.98 and $43.02.
The first graph. This is because the one solution is where the two lines will intersect.
In the second graph, the two lines are parallel, so there is no possible way for them to intersect. In the third graph, the two lines are on top of one another, so there’s more than one solution.
Therefore, the first graph is where there is one solution.
