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2 years ago

What are the steps to find (2+2i)(5+3i)?

Mathematics

2 answers:

pshichka [43]2 years ago

7 0

Answer:

16i + 4

Step-by-step explanation:

(2 + 2i)(5 + 3i) =

= 2×5 + 2i×5 + 2×3i + 2i×3i

= 10 + 10i + 6i + 6i²

= 6i² + 16i + 10

= - 6 + 16i + 10

= 16i + 4

WITCHER [35]2 years ago

6 0

(2+2i)(5+3i)
10+6i+10i+6i^2
10+16i+6(-1)
4+16i
When you have an “i^2”, you also have a negative one. The simplified answer is 4+16i

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In a one-way ANOVA, what is the difference between the among-groups variance MSA and the within-groups variance MSW?

LuckyWell [14K]

Answer:

$MSR=MSA=\frac{SSR}{k-1}$

And $MSE=MSW=\frac{SSE}{N-k}$

The difference is that MSA takes incount the variation between the groups and the grand mean, and the MSW takes in count the variation within groups respect to the mean of each group .

Step-by-step explanation:

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

If we assume that we have $j$ groups and on each group from $j=1,\dots,j$ we have $n_j$ individuals on each group we can define the following formulas of variation:

$SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2$

$SS_{between=Treatment}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2$

$SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2$

And we have this property

$SST=SS_{between}+SS_{within}=6750+8000=14750$

The degrees of freedom for the numerator on this case is given by $df_{num}=k-1$ where k represent the number of groups.

The degrees of freedom for the denominator on this case is given by $df_{den}=df_{between}=N-k$ .

And the total degrees of freedom would be $df=N-1$

We can find the $MSR=MSA=\frac{SSR}{k-1}$

And $MSE=MSW=\frac{SSE}{N-k}$

The difference is that MSA takes incount the variation between the groups and the grand mean, and the MSW takes in count the variation within groups respect to the mean of each group .

And the we can find the F statistic $F=\frac{MSR}{MSE}=$

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3 years ago

Chris is riding her bike for 10 miles. She averages 12 mi/h. how many more minutes must she ride before she travels 60 miles?

madam [21]

Answer:

5 Minutes

take 10 and add 12 for each minute until you pass 60

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3 years ago

After 8 hours of snow, the

Dmitrij [34]

Answer: -21.125 or -21 1/8 degrees

Explanation: Divide the number of degrees (-169) by the amount of time it was snowing (8) to get the answer (-21.125).

-169÷8=-21.125

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3 years ago

You'll find lots of clouds over _____________ climates and practically no clouds over ___________ climates.

SVETLANKA909090 [29]

Answer:

you'll find lots of clouds over tropical climates and practically no clouds over desert clmates.

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3 years ago

PLEASE HELP!!! I do not understand!!!

sladkih [1.3K]

Answer:

110 + 5x (I'm not sure if you need the dollar signs...if you do, one goes in front of the 110 and one goes in front of the 5)

Step-by-step explanation:

$20 + $90 = $110

<u><em>Equation:</em></u>

110 + 5x

110 represents the base cost of the turtle and the terrarium.

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x represents the number of weeks that she is purchasing the food.

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3 years ago