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2 years ago

Angles ABC and DBE are vertical

Mathematics

1 answer:

AleksAgata [21]2 years ago

6 0

Answer: Angle ABD is 140 degrees.

Step-by-step explanation:

Angle ABC = 40 and vertical angles are equal so Angle DBE is also 40.

In order to find Angle ABD you would take the degrees in a full circle which is 360 degrees and substract the two vertical angles you have.

360 (full circle) - 40 (Angle ABC) - 40 (Angle DBE) = 280 degrees.

The two remaining angles would also be vertical angles so divide the 280 degrees by 2.

280/2 = 140

4 angles: 40 + 40 + 140 + 140 = 360

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A company manufactures 2,000 units of its flagship product in a day. The quality control department takes a random sample of 40

shepuryov [24]

Answer:

Step-by-step explanation:

The recommended sample size n for point estimates is:

n = NX / (N + X - 1)

where N is the population size, and X is defined as:

X = Z² p (1 - p) / E²

where Z is the critical value, p is the sample proportion, and E is the margin of error.

Assume a confidence level of level of 95% and a margin of error of 5%.

α = 0.05, Z(α/2) = 1.96

E = 0.05

Of the 40 units tested, 2 had lifespans less than 26 days. So the proportion is:

p = 2/40 = 0.05

Therefore:

X = (1.96)² (0.05) (1 - 0.05) / (0.05)²

X = 73

Given N = 2000:

n = (2000) (73) / (2000 + 73 - 1)

n = 70.45

Rounding, the recommended sample size is 70.

5 0

2 years ago

Read 2 more answers

Find the range, variance, and standard deviation for the given sample data. Include appropriate units in the results.Listed bel

timama [110]

Answer:

D.No, because some models of cell phones will have a larger market share than others. Measures from different models should be weighted according to their size in the population.

Step-by-step explanation:

(a) Range is the difference between the smallest and largest observation.

Here Smallest observation = 0.63

and Largest observation = 1.48

⇒ Range = 0.85

(b) Standard Deviation is calculate by,

$Standard deviation(\sigma) = \sqrt{\frac{1}{n}\sum_{i=1}^{n}{(x_{i}-\bar{x})^{2}} }$

where, $\bar{x}$ is mean of the observation.

Here, Mean = 0.988

⇒ Standard Deviation = 0.313

(c) Variance is the square of Standard deviation.

Thus, Variance = (Standard Deviation)² = 0.098

(d) Here last option(D) is true i.e. No, because some models of cell phones will have a larger market share than others. Measures from different models should be weighted according to their size in the population.

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2 years ago

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nataly862011 [7]

Answer: 18 units squared

Step-by-step explanation:

To find area of a rectangle use A=lw

we can count the units for both and get...

11x2=18

So 18 units squared

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A circle has a radius of 6 inches and a central angle of 60°. What is the measure of the arc length associated with this angle?

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Answer:

$2\pi$

Step-by-step explanation:

first you take 60°/360°= 1/6 then you take 1/6 and multiple it by $2\pi$ and that equals $\frac{\pi }{3}$ finally take $\frac{\pi }{3}$ times the radius (6) and that should equal $2\pi$

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