149.99 * .07 = tax on the phone
10.50 =tax on the phone
149.99+ 10.50 total cost
160.49 total cost of the phone
Answer:
x=-1, y = 2, z = 1
Step-by-step explanation:
We are given with three equations and we are asked to find the solution to them.
2x + 2y + 3z = 5 ------------- (A)
6x + 3y + 6z = 6 --------------(B)
3x + 4y + 4z = 9 ---------------(C)
Step 1 .
multiplying equation (A) by 3 and subtracting B from the result
6x + 6y + 9z = 15
6x + 3y + 6z = 6
- - - = -
_______________
3y+3z=9
y+z=3
y=3-z ----------------- (C)
Step 2.
Substituting this value of y in equation B and C
6x + 3(3-z) + 6z = 6
6x+9-3z+6z=6
6x+3z=-3
2x+z=-1 ----------------(D)
3x + 4(3-z) + 4z = 9
3x+12-4z+4z=9
3x=-3
x=-1 ------------ (E)
Putting this value f x in (D)
2(-1)+z=-1
-2+z=-1
z=1
Now we put this value of z in equation (C)
y=3-z
y=3-1
y=2
Hence we have
x=-1, y=2 and z=1
The histogram of the distribution plotted on the y - axis and the interval for the length of time on the x - axis is attached below.
<h3>How to denote the histogram?</h3>
The first bar denotes the length of time between 0 and 10 having a frequency of 8. The second bar denoted the interval between 10 and 15 with a frequency of 15
The third bar denoted the interval between 15 and 20 with a frequency of 10. The fourth bar denoted the interval between 20 and 30 with a frequency of 11
Therefore, the histogram of the distribution is attached below.
Learn more about histograms on:
brainly.com/question/14421716
#SPJ1
Answer:
The researcher will conclude that there is a correlation between the number of hours worked out and the amount of pounds lost by people on the exercise program
Step-by-step explanation:
Here, we want to state what the conclusion of the researcher should be:
From the last part of the question, we can see that the test statistic is greater than the critical value
So what do we do in a case like this?
We can see that the researcher is trying to see if there is a correlation between hours worked out and the number of pounds lost over a specific period of time.
Now, let us form the null hypothesis;
The null hypothesis here H0 is that we do not have a correlation between number of hours spent working out and the amount of pounds lost
The alternative hypothesis here H1 is that there is a correlation between the number of hours spent working out and the amount of pounds lost
Since we have the value of the test statistic greater than the critical value, we reject the null hypothesis and accept the alternative hypothesis
So therefore, the researcher will conclude that there is a correlation between the number of hours worked out and the amount of pounds lost by people on the exercise program
