What the equation of (1,4) and (0,1)
2 answers:
Answer:
y = 3x+1
Step-by-step explanation:
1. find the slope
2. Find the y intercept (when x is equal to 0). This is easy because we already have the point (0,1), where x is already 0. The y intercept is zero.
3. The slope-intercept form is 3x+1.
Note: Since you didn't specify the type of equation, I answered for slope-intercept form.
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Answer:
the height of the tree is <em>15.49 m</em>
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Step-by-step explanation:
Step 1:
From the figure, we can determine ∠ATB by using the fact that the sum of all the angles in a triangle add up to 180°:
∠ ATB = 180° - 98° - 20°
∠ ATB = 62°
Step 2:
Therefore, using the law of sines, we can determine the height of the tree.
TB / sin(20°) = 40 / sin(62°)
TB = 40 × (sin(20°) / sin(62°))
<em>TB = 15.49 m </em>
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Therefore, the height of the tree is <em>15.49 m</em>
Answer:
Null hypothesis:
Alternative hypothesis:
Since is a one right tailed test the p value would be:
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the population deviation for the sample
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses to be tested
We need to conduct a hypothesis in order to determine if the mean is higher than 3.3, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Compute the test statistic
We know the population deviation, so for this case is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:
(1)
z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
We can replace in formula (1) the info given like this:
P value
Since is a one right tailed test the p value would be: