Without drawing a graph find the intercepts of each line. y+5=–2x
1 answer:
Answer:
see explanation
Step-by-step explanation:
The intercepts are where the line crosses the x and y axes.
To find the x- intercept ( where the line crosses the x- axis) let y = 0 in the equation and solve for x, that is
0 + 5 = - 2x
5 = - 2x ( divide both sides by - 2 )
x = - = - 2.5 ← x- intercept ⇒ (- 2.5, 0 )
To find the y- intercept ( where the line crosses the y- axis ) let x = 0 in the equation and solve for y, that is
y + 5 = 0 ⇒ y = - 5 ← y- intercept ⇒ (0, - 5 )
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First box = 14 pounds
Second box = 2x = 28 pounds
Third Box = x+2= 16 pounds
Fourth box = x/2 = 7 pounds
<u>Step-by-step explanation:</u>
Here we have , Sixty-five pounds of candy was divided into four different boxes. The second box contained twice the amount of the first box. The third box contained two more pounds than the first box. The last box contained one-fourth the amount in the second box. We need to find How much candy was in each box. Let's find out:
We have a total of 65 pounds of candy ! Let in first box we have x pounds so , second box contained twice the amount of the first box i.e.
⇒
The third box contained two more pounds than the first box i.e.
⇒
The last box contained one-fourth the amount in the second box i.e.
⇒
Therefore , Sum of pounds of candy are :
⇒
⇒
⇒
⇒
⇒
Therefore , Candy in each box is :
First box = 14 pounds
Second box = 2x = 28 pounds
Third Box = x+2= 16 pounds
Fourth box = x/2 = 7 pounds
Answer:
Null hypothesis:
Alternative hypothesis:
If we compare the p value and a significance level assumed we see that
so we can conclude that we reject the null hypothesis, and the actual true mean is significantly different from 750 pounds per hour.
Step-by-step explanation:
Data given and notation
Data: 801, 814, 784, 836,820
We can calculate the sample mean and sample deviation with the following formulas:
represent the sample mean
represent the standard 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 different from 750 pounds per hour, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Compute the test statistic
We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
(1)
t-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:
Now we need to find the degrees of freedom for the t distirbution given by:
What do you conclude?
Compute the p-value
Since is a two tailed test the p value would be:
If we compare the p value and a significance level assumed we see that
so we can conclude that we reject the null hypothesis, and the actual true mean is significantly different from 750 pounds per hour.