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Ainat [17]
3 years ago
11

Determine a and k so the given points are on the graph of the function.

Mathematics
1 answer:
pshichka [43]3 years ago
3 0

Step-by-step explanation:

Explanation:

Because

(2,6) is in the function, we can plug

6 as y

and

2 as x.

From that we get

6=a(2−1)2+k

6=a+k

Same for the next point:

12=a(3−1)2+k

12=22a+k

12=4a+k

Now we have this system of equations to solve:

a+k=6

4a+k=12

Solving it leads to the conclusion that

a=2,k=4 .

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A study investigated whether price affects people's judgment. Twenty people each tasted six cabernet sauvignon wines and rated h
patriot [66]

Answer:

t=5.5080( to 3 d.p)

Step-by-step explanation:

From the data given,

n =20

Deviation= 34/20= 1.7

Standard deviation (sd)= 1.3803(√Deviation)

Standard Error = sd/√n

= 1.3803/V20 = 0.3086

Test statistic is:

t = deviation /SE

= 1.7/0.3086 = 5.5080

ndf = 20 - 1 = 19

alpha = 0.01

One Tailed - Right Side Test

From Table, critical value of t =2.5395

Since the calculated value of t = 5.5080 is greater than critical value of t = 2.5395, the difference is significant. Reject null hypothesis.

t score = 5.5080

ndf = 19

One Tail - Right side Test

By Technology, p - value = 0.000

Since p - value is less than alpha , reject null hypothesis.

Conclusion:

From the result obtained it can be concluded that ,the data support the claim that the mean rating assigned to the wine when the cost is described as $90 is greater than the mean rating assigned to the wine when the cost is described as $10.

5 0
3 years ago
The energy saved by recycling one glass bottle is enough to power a washing machine for 10 minuets. How many recycled glass bott
Mrac [35]
There are 60 minutes in one hour.
Divide 60 minutes by 10 minutes.

You get 6. That means you would need 6 recycled bottles to power a washing machine for one hour (that will be awesome if that were the case).

Have an awesome day! :)
4 0
3 years ago
Read 2 more answers
.31 is what in a fraction
GREYUIT [131]
0.31 = 31%
% is out of 100 so 31% is 31 out of 100 which is 31/100 :)
3 0
3 years ago
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How many solutions exist for the system of equations graphed below?
Anestetic [448]

Answer:

One

General Formulas and Concepts:

<u>Algebra I</u>

  • Reading a coordinate plane
  • Solving systems of equations by graphing

Step-by-step explanation:

If 2 lines are parallel, they will have no solution.

If 2 lines are the same, they will have infinite amount of solutions.

We see from the graph that the 2 lines intersect at one point, near x = 1.5.

∴ our systems has 1 solution.

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3 years ago
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