The p-value is the probability of getting the observed results of a test taking the null hypothesis as true.p-value is compared to a significant level ∝ to allow you conclude about the hypothesis. Reject the hypothesis if p-value is lower than the significant level.
Step-by-step explanation:
Hypothesis test are used to tell the validity of a claim, where p-value show the significance of the results tested.
A larger p-value, where p>0.05, shows a weak evidence against the null hypothesis where as a p-value close to 0.05 is taken to be marginal. A p-value ≤0.05 indicates a strong evidence against the null hypothesis.
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p-value : brainly.com/question/4555495
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Answer:
Area = 525 ft²
Step-by-step explanation:
Area of rectangle = Length × Width
Length = 20 + 15 = 35 ft
Width = 15 ft
Area = 35 ft × 15 ft = 525 ft²
1/5 becuase if you multiply by 5, it has to be 1, which means it has to be 1/5
14. 1.5, 10 <- Answer
15. 5,1 <- Answer
Proof 14
Solve the following system:
{2 x - y = -7 | (equation 1)
4 x - y = -4 | (equation 2)
Swap equation 1 with equation 2:
{4 x - y = -4 | (equation 1)
2 x - y = -7 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{4 x - y = -4 | (equation 1)
0 x - y/2 = -5 | (equation 2)
Multiply equation 2 by -2:
{4 x - y = -4 | (equation 1)
0 x+y = 10 | (equation 2)
Add equation 2 to equation 1:
{4 x+0 y = 6 | (equation 1)
0 x+y = 10 | (equation 2)
Divide equation 1 by 4:
{x+0 y = 3/2 | (equation 1)
0 x+y = 10 | (equation 2)
Collect results:
Answer: {x = 1.5
y = 10
Proof 15.
Solve the following system:
{5 x + 7 y = 32 | (equation 1)
8 x + 6 y = 46 | (equation 2)
Swap equation 1 with equation 2:
{8 x + 6 y = 46 | (equation 1)
5 x + 7 y = 32 | (equation 2)
Subtract 5/8 × (equation 1) from equation 2:{8 x + 6 y = 46 | (equation 1)
0 x+(13 y)/4 = 13/4 | (equation 2)
Divide equation 1 by 2:
{4 x + 3 y = 23 | (equation 1)
0 x+(13 y)/4 = 13/4 | (equation 2)
Multiply equation 2 by 4/13:
{4 x + 3 y = 23 | (equation 1)
0 x+y = 1 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{4 x+0 y = 20 | (equation 1)
0 x+y = 1 | (equation 2)
Divide equation 1 by 4:
{x+0 y = 5 | (equation 1)
0 x+y = 1 | (equation 2)
Collect results:
Answer: {x = 5 y = 1
Answer:
see explanation
Step-by-step explanation:
Given
(a)
3x + 2y - 8 = 0 ( subtract 3x - 8 from both sides )
2y = - 3x + 8 ( divide the terms by 2 )
y = - x + 4
(b)
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - x + 4 ← is in slope- intercept form
with slope ( gradient) m = - and
(c)
c = 4
That is crosses the y- axis at (0, 4 )