Help solve with subsitution x+y=1, 2x+3y=-4
Answers
2 x + 3y = -4
- 2 x - 2 y = - 2
2 x + 3 y = - 4
_______________
y = - 6
Subsititute y = - 6
2 x + 3 y = - 4
2 x + 3 * (-6) = -4
2 x - 18 = - 4
2 x = - 4 + 18
2 x = 14
x = 14 / 2
x = 7
The solution to the system of equations are:
x = 7 and y = - 6
hope this helps!
Related Questions
A school bus has 25 seats, with 5 rows of 5 seats. 15 students from the first grade and 5 students from the second grade travel in the bus. How many ways can the students be seated if all of the second-grade students occupy the first row?a. 25P20 b. 5P5 × 20P15 c. 5C5 × 25C14 d. 5P5 × 15P15 e. 5P5 × 25C15
A=1/3 (a+b+c)<br /> Solve for C<br /> Will give thanks to anyone who answers
What is the finance charge on 13,300 financed at 7.9 percent for 4 years if the monthly payment per 100 is 2.74?1.) 13,300 2.) 4,192.16 3.) 1,457.68 4.) 17,492.16
Joe solved this linear system correctly.6x+3y=6 y=−2x+2 These are the last two steps of his work. 6x−6x+6=6 6=6 Which statement about this linear system must be true? a) x must equal 6 b) y must equal 6 c) there is no solution to this system d) there are infinitely many solutions to this system
Answers
Which ordered pair represents the year when the trees will be the same height?
Answers
A tree that is 3 feet tall is growing at a rate of 1 ft per year
h = t + 3
A 5 ft tree is growing at a rate of 0.75 ft per year
h = 0.75t + 5
Equating the two equations
t + 3 = 0.75t + 5
t = 8 yrs
h = 8 + 3
h = 11 ft
(8,11)
it will be at (8,11).
Answers
Answer:
1/4^2 (The first one)
Step-by-step explanation:
In the sample, 72 said "yes."
(a) do the data give good evidence that more than two-thirds (67%) of authors support continuing this system? carry out an appropriate test to help answer this question.
(b) interpret the p-values from your test in the context of the problem.
Answers
Answer:
There is no significant evidence that more than two-thirds (67%) of authors support continuing this system.
Step-by-step explanation:
Let p be the proportion of authors who support continuing the system
Then hypotheses are:
: p=0.67
: p>0.67
To calculate the test statistic:
z= where
- p(s) is the sample proportion of authors who support the publishing system (
≈0.692)
- p is the proportion assumed under null hypothesis. (0.67)
- N is the sample size (104)
Then z= ≈ 0.477
p-value of test statistic is ≈0.317
Assuming a significance level 0.05, since 0.317>0.05 we fail to reject the null hypothesis.
p-value 0.317 is the probability that the sample is drawn from the distribution assumed under null hypothesis, that is where the proportion of authors supporting the new publishing system is at most 0.67
Final answer:
A hypothesis test for a proportion is used to determine whether more than two-thirds of authors support continuing the system. The p-value associated with the test is less than 0.0001, indicating that the data provide good evidence in favor of the alternative hypothesis. Therefore, the majority of authors support continuing the system.
Explanation:
To determine whether the data provides evidence that more than two-thirds (67%) of authors support continuing the system, we can use a hypothesis test for a proportion. We will use a significance level of 0.05.
Let's set up our hypotheses:
- Null hypothesis (H0): p ≤ 0.67 (less than or equal to two-thirds support)
- Alternative hypothesis (Ha): p > 0.67 (more than two-thirds support)
Using the normal approximation to the binomial, we can calculate the test statistic and p-value. With a sample size of 104 and 72 authors in favor, the test statistic is:
z = (72 - 0.67 * 104) / sqrt(0.67 * (1 - 0.67) * 104) ≈ 3.79
The p-value associated with a z-score of 3.79 is less than 0.0001. Since this p-value is less than 0.05, we reject the null hypothesis.
Therefore, the data provide good evidence that more than two-thirds of authors support continuing the system.
Learn more about Hypothesis testing here:
#SPJ6
12
13
Answers
the radius of the circle is OA A(5;-12) and O (0;0)
OA= square root ((5-0)² + (-12-0)²)
= square root (25+144)
= square root(169)
OA = 13
Answers
Here are two ways:
8 times (5·3 - 2) = 8 times (15 - 2) = 8 times 13 = 104 .
8 times (5·2 + 3) = 8 times (10 + 3) = 8 times 13 = 104.
Thank you, Salma.