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Arte-miy333 [17]
3 years ago
10

What linear function equation can be represented by the set of ordered pairs? {(−4, −6), (0, −3), (4, 0), (12, 6)} Enter your an

swer in the box.
Mathematics
2 answers:
Anika [276]3 years ago
7 0

Answer:

The equation of the line is f(x) = 3/4x - 3. Checked this answer and it is 100% correct.

dalvyx [7]3 years ago
5 0

Answer:

The equation of the line is y = 3/4x - 3

Step-by-step explanation:

To find the equation of the line, pick any two points and find the slope.

m(slope) = (y2 - y1)/(x2 - x1)

m = (6 - 0)/(12 - 4)

m = 6/8

m = 3/4

Now that we have the slope, we can use the slope and point-slope form to find the equation in slope intercept form.

y - y1 = m(x -x1)

y - 6 = 3/4(x - 12)

y - 6 = 3/4x - 9

y = 3/4x - 3

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The manufacturer of an airport baggage scanning machine claims it can handle an average of530 bags per hour.(a-1) At α = .05 in
-Dominant- [34]

Answer:

b. H0: μ < 530. Reject H0 if tcalc > -1.753

Step-by-step explanation:

1) Data given and notation  

\bar X=507 represent the sample mean

s=47 represent the sample standard deviation  

n=16 sample size  

\mu_o =530 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is less than 530 (left tailed tes), the system of hypothesis would be:  

Null hypothesis:\mu \geq 530  

Alternative hypothesis:\mu < 530  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (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".  

Calculate the statistic  

We can replace in formula (1) the info given like this:  

t=\frac{507-530}{\frac{47}{\sqrt{16}}}=-1.957

Critical value

Since we are conducting a left tailed test we need to first find the degrees of freedom for the statistic given by:

df=n-1=16-1=15

Now we need to look on the t distribution with 15 degrees of freedom that accumulates 0.05 of the area on the left area. And on this case the critical value would be t_{\alpha}=-1/753.

And we can use the following excel code to find it: "=T.INV(0.05,15)"  

So then the correct rejection zone for H0 would be: Reject H0 if t_{calc}

P-value  

Since is a one side left tailed test the p value would be:  

p_v =P(t_{(15)}  

Conclusion  

If we compare the p value and the significance level for example \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the mean is significantly lower than 530 at 5% of significance.  

6 0
2 years ago
How to find out the slope
grin007 [14]
To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .
6 0
2 years ago
Need help on the attached question
katen-ka-za [31]

Answer:

f(8) = 4.92`

Step-by-step explanation:

4 0
3 years ago
Workout the probability that spinner A lands on 2 and spinner b does not land on b
zzz [600]

Spinner diagram isn't attached. A related spinner diagram has been attached below to provide an hypothetical solution to the problem

Answer:

4 / 15

Step-by-step explanation:

For the numbered spinner :

P(landing on 2) = required outcome / Total possible outcomes

Total possible outcomes = (1, 2, 3) = 3

Required outcome = (1) = 1

P(landing on 2) = 1 /3

Lettered spinner :

P(does not land on b)

Total possible outcomes = (A, B, C, D, E)

Required outcome = (a, c, d, e)

P(does not land on b) = 4 / 5

Hence,

P(lands on 2, does not land on b) in this scenario is :

1/3 * 4/5 = 4 / 15

5 0
2 years ago
A) A club is considering changing its bylaws. In an initial straw vote on the issue, 24 of the 40 members of the club favored th
lora16 [44]

Answer:

38,38,380

Step-by-step explanation:

GIVEN: A club is considering changing its laws. In an initial straw vote on the issue, 24 of the 40 members of the club favored the change and 16 did not. A committee of six is to be chosen from the 40 club members to devote further study to the issue.

TO FIND: How many committees of six can be formed from the club membership.

SOLUTION:

Total number of members =40

Total members to be chosen =6

To select committee of 6 members from 40 =^{40}C_6

                                                                       =\frac{40!}{34!6!}

                                                                      =38,38,380

Hence 38,38,380 different committee can be formed.

7 0
3 years ago
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