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3 years ago

The depth of a swimming pool is 8.5 meters. What is half of the depth in mm

Mathematics

2 answers:

vampirchik [111]3 years ago

7 0

8.5 meters in half is 4.25 meters which is 4250 milimeters =D

Brilliant_brown [7]3 years ago

4 0

8.5metres = 8,500mm
8,500mm % 2 = 4,250mm
ANSWER: 4,250mm

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When utilizing ANOVA, what does the between group sum of squares measure?

zhenek [66]

Answer:

b. The sum of the squared deviations between each group mean and the mean across all groups

Step-by-step explanation:

Previous concepts

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"

Solution to the problem

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

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

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

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

And we have this property

$SST=SS_{between}+SS_{within}$

As we can see the sum of squares between represent the sum of squared deviations between each group mean and the mean across all groups.

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

So then the best option is:

b. The sum of the squared deviations between each group mean and the mean across all groups

5 0

3 years ago

Given: Triangles ABC and DBC are isosceles, m∠BDC = 30°, and m∠ABD = 155°. Find m∠ABC, m∠BAC, and m∠DBC.

just olya [345]

∠BDC=30, so ∠CBD + ∠BCD=180-30=150
ΔDBC is isosceles, so ∠CBD=∠BCD=half of 150=75
∠ABC=∠ABD-∠CBD=155-75=80
ΔABC is isosceles, so ∠ABC=∠ACB=80
∠BAC=180-80-80=20

7 0

4 years ago

What’s the correct answer for this?

Gnesinka [82]

Answer: false

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Help I would love the help.

MAXImum [283]

Your answer would be D. It is one-half the area of a rectangle with sides 4 units x 3 units. This is how you solve these problems. You have to draw a rectangle around the triangle Think about it, It wouldnt be double the surrounding rectangle and the dimentions are 3 x 4, not 4 x 4.

Hope I was most help to you!

8 0

3 years ago

How many one-to-one correspondences exist between A = {1, 2, 3, 4} and B = {a, b, c, d}

aleksklad [387]

Answer:

There are 24 different correspondences.

Step-by-step explanation:

A one-to-one correspondence means that each element of A can be mapped into only one element of B, and we can't have two or more elements from A mapped into one element from B.

So, to count all the possible combinations, we need to find the number of possible options for each mapping

The first element from A, the 1, can be mapped into any of the four elements of B, so here we have 4 options.

The second element from A, the 2, can be mapped into any of the remaining elements from B, 3 of them (remember that one of the elements of B is taken).

The third element from A, the 3, can be mapped into any of the remaining elements from B, 2 of them now, so here we have 2 options.

The final element from A, the 4, can be mapped into the remaining element from B, so here we have only one option.

The total number of different correspondences (or combinations) is equal to the product between the numbers of options, this is:

Combinations = 4*3*2*1 = 12*2 = 24

There are 24 different correspondences.

5 0

3 years ago