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DochEvi [55]
3 years ago
5

-18 - -6k = 6 + 18K

Mathematics
1 answer:
Vlad [161]3 years ago
8 0
-18 - (-6k) = 6 + 18k
-18 + 6k = 6 + 18k
-18 - 6 = 18k - 6k
-24 = 12k
-24/12 = k
-2 = k
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A random sample of 20 purchases showed the amounts in the table (in $). The mean is $49.57 and the standard deviation is $20.28.
son4ous [18]

Answer:

The 98​% confidence interval for the mean purchases of all​ customers is ($37.40, $61.74).

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.98}{2} = 0.01

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.01 = 0.99, so z = 2.325

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 2.325*\frac{20.28}{\sqrt{20}} = 12.17

The lower end of the interval is the mean subtracted by M. So it is 49.57 - 12.17 = $37.40.

The upper end of the interval is the mean added to M. So it is 49.57 + 12.17 = $61.74.

The 98​% confidence interval for the mean purchases of all​ customers is ($37.40, $61.74).

3 0
3 years ago
A drink is made from orange juice and lemonade in the ratio 3 : 7. How much lemonade is needed if 60 ml of orange juice is used?
lina2011 [118]

Answer:

140 ml

Step-by-step explanation:

60/3  =  20

20x7 = 140

8 0
2 years ago
The sum of 4 consecutive integers is 40 what is the third number in this sequence?
Dmitry [639]
Let's represent the numbers by : x, x+1, x+2, x+3
x+x+1+x+2+x+3=40                     The third number in the sequence is x+2
4x+6=40                                           8.5+2=10.5
4x+6-6=40-6                               Therefore the third number in the sequence is
4x=34                                             10.5
4x/4=34/4
x=8.5
3 0
3 years ago
HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!
sladkih [1.3K]

Answer:

the correct answer is B :) can i have brainly?

Step-by-step explanation:

8 0
3 years ago
10(n^2+n) -6 (n^2 - 2). simplify the following
Setler [38]

Answer:

4n^2 + 22n

Step-by-step explanation:

10(n^2+n) -6 (n^2 - 2)

10n^2 + 10n - 6n^2 + 12

4n^2 + 22n

3 0
3 years ago
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