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Nana76 [90]
3 years ago
14

Finding the sum. imaginary numbers! hellpp

Mathematics
1 answer:
Neko [114]3 years ago
3 0
The "i" in this problem actually doesn't represent imaginary numbers. This is a summation problem which is asking for the sum of (2i+1) for when i = 1 to i = 7.

So (2(1) + 1) + (2(2) + 1) + (2(3) + 1) + (2(4) + 1)... etc...

The summation rules we need to know for this problem are for constants and for a single variable.

When we have a constant, the summation rule is n*c where n is the number of times.

When we have a single variable, the summation rule is n(n+1)/2.

So applying the summation rules where n = 7:

2(7)(7+1)/2 + 1(7)

(7)(8) + 7 = 63

The answer to the summation is 63.
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The equatorial radius of the planet Jupiter is measured 40 times by a process that is practically free of bias. These measuremen
Nina [5.8K]

Answer:

The 93% confidence interval for the equatorial radius of Jupiter is between 71484 km and 71500 km.

Step-by-step explanation:

Sample size of 30 or larger, so we can use the normal distribution to find the confidence interval.

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

\alpha = \frac{1-0.93}{2} = 0.035

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 1-0.035 = 0.965, so z = 1.81

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 = 1.81*\frac{28}{\sqrt{40}} = 8

The lower end of the interval is the sample mean subtracted by M. So it is 71492 - 8 = 71484 km.

The upper end of the interval is the sample mean added to M. So it is 71492 + 8 = 71500 km.

The 93% confidence interval for the equatorial radius of Jupiter is between 71484 km and 71500 km.

8 0
3 years ago
Help please will give brainliest answer
Furkat [3]
The first thing we must do for this case is to define variables.
 We have then:
 x: weight of the big box
 y: weight of the small box.
 We now write the system of equations that models the problem:
 8x + 4y = 177

3x + 2y = 73
 We apply the graphic solution.
 For this, the solution will be the cut point of both lines.
 We have then that the solution occurs for the point:
 (x, y) = (15.5, 13.25)

 Note: see attached image
 Answer:
 
Weight of each large box: 15.5 Kilograms
 
Weight of each small box: 13.25 Kilograms

3 0
3 years ago
The probability of an event occurring is 0.08.
vova2212 [387]

Answer:

0.92

Step-by-step explanation:

always equals 1.0

1.0 - 0.08 = 0.92

7 0
3 years ago
Please help me with the following questions. Thanks in advance!!
puteri [66]

Answer:

Step-by-step explanation:

In choices a and b, the bases are positive numbers greater than 1, and so these are growth functions.  In c and d, the bases are between 0 and 1, and thus these are decay functions.

In the second problem we have 3ln(x + 1).  Rewrite this as ln(x + 1)^3.

We also have 9ln(x - 4).  Rewrite this as ln(x - 4)^9.

Because of the + sign connecting ln(x + 1)^3 and ln(x - 4)^9, these two logs combine to form

ln [ (x + 1)^3 ] * (x - 4)^9 (the log of a product).

Now we have:

ln [ (x + 1)^3 ] * (x - 4)^9  -  4ln(x + 7), or:

       [ (x + 1)^3 ] * (x - 4)^9

ln ------------------------------------

                (x + 7)^9

7 0
3 years ago
Read 2 more answers
PLEASE HELP!!!
Pavel [41]
The answer would be sas or conguernt angle
7 0
3 years ago
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