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kati45 [8]
3 years ago
13

Given that ∠ABD = 71°, which equation could be used to solve problems involving the relationships between ∠DBC and ∠ABC?

Mathematics
1 answer:
dexar [7]3 years ago
5 0

Step-by-step explanation:

one could be that all the angles add up to 180

180-71= 109

∠DBC and ∠ABC must add up to 109 degrees

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Given parallelogram ABCD, find x, y, length AB and Length BC.
Mandarinka [93]

Answer:

x = 18  y = 5

Step-by-step explanation:

x  + 5 = 2x - 13

x - 2x = -13 - 5

-x = -18

x = 18

2y - 2 = 4y - 12

2y - 4y = -12 + 2

-2y = -10|:(-2)

y = 5

6 0
3 years ago
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You select a sample of 50 scores from a population of 2,000 scores. You compute the range and standard deviation on the sample o
nalin [4]

Answer:

The measure of dispersion which is likely to vary most between your first and second samples is the range.

Step-by-step explanation:

The range and standard deviation of a data are measures of dispersion, i.e. they measure the degree to which the data is dispersed.

The formula to compute the range is:

Range=X_{max}-X_{min}

The formula to compute the sample standard deviation is:

s=\sqrt{\frac{1}{n-1}\sum (X-\bar X)^{2} }

The sample size is: <em>n</em> = 50.

  • As the sample size is large (n = 50 > 30) the sample standard deviation (s) can be used to approximate the population standard deviation (σ). Thus, whatever the sample values be both the standard deviations can be used to approximate the population standard deviation. Hence, it can be said that both the sample standard deviations are approximately equal.
  • Whereas the range of the two samples are very likely to vary since it is based on the minimum and maximum value of the data. For both the samples the minimum and maximum value may be differ. Thus providing different range values.

Thus, the measure of dispersion which is likely to vary most between your first and second samples is the range.

5 0
4 years ago
3/4 of a number is what percent? Help ASAP pls
Mekhanik [1.2K]

Answer:

75%

Step-by-step explanation:

1/4 is 25

2/4 is 50

3/4 is 75

4/4 is 100

6 0
3 years ago
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Is the selection below a​ permutation, a​ combination, or​ neither? Explain your reasoning. Upper A group of 5 senators is chose
Natalka [10]

Answer:

Combination, but keep in mind that if the committee had two open positions, say President and Secretary, it would be a permutation

Step-by-step explanation:

The first thing to keep in mind is the difference between combination and permutation.

The main difference is that in the combinations the order does not matter, whereas in the permutations the order does matter.

Combination example:

Choose 7 people for a project.

Example of permutation:

Choose 5 men for each specific role in a soccer team.

Therefore, "group of 5 senators is chosen to be part of a special committee" is a combination, but keep in mind that if the committee had two open positions, say President and Secretary, it would be a permutation.

3 0
3 years ago
50 points if its correct with brainliest!! How many times smaller will a number become if you decrease it by 20%.
Likurg_2 [28]

Answer:

1/5 because 20% is equivalent to 20/100

Step-by-step explanation:

or 0.2 Thats what I got- sorry if I am wrong.

5 0
3 years ago
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