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3 years ago

HELP PLS

Mathematics

1 answer:

Tems11 [23]3 years ago

8 0

Answer:

C. 2 units

Step-by-step explanation:

The ratio of side lengths in an isosceles right triangle is ...

1 : 1 : √2

If you don't already have this memorized, you can figure it out using the Pythagorean theorem:

BD² = AD² +AB² = 1 + 1 = 2

BD = √2 . . . . taking the square root

We are told that BD = DC, so we know the larger triangle is also an isosceles right triangle. This one has short sides of length √2, so the long side (BC) will have length (√2)×(√2) = 2.

The length of BC is 2 units.

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Nataly_w [17]

Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

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asambeis [7]

Answer:

(4) 0

Step-by-step explanation:

Given:

cos²27°×cos²34°×...×cos²167 = ?

Looking at the angles measures, they form series of:

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3 years ago

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Tasya [4]

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Step-by-step explanation:

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4 years ago

According to a recent survey, the population distribution of number of years of education for self-employed individuals in a c

creativ13 [48]

Answer:

a) X: number of years of education

b) Sample mean = 13.5, Sample standard deviation = 0.4

c) Sample mean = 13.5, Sample standard deviation = 0.2

d) Decrease the sample standard deviation

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 13.5 years

Standard deviation,σ = 2.8 years

a) random variable X

X: number of years of education

Central limit theorem:

If large random samples are drawn from population with mean $\mu$ and standard deviation $\sigma$ , then the distribution of sample mean will be normally distributed with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$

b) mean and the standard for a random sample of size 49

$\mu_{\bar{x}} = \mu = 13.5\\\\\sigma_{\bar{x}} = \dfrac{\sigma}{\sqrt{n}} = \dfrac{2.8}{\sqrt{49}} = 0.4$

c) mean and the standard for a random sample of size 196

$\mu_{\bar{x}} = \mu = 13.5\\\\\sigma_{\bar{x}} = \dfrac{\sigma}{\sqrt{n}} = \dfrac{2.8}{\sqrt{196}} = 0.2$

d) Effect of increasing n

As the sample size increases, the standard error that is the sample standard deviation decreases. Thus, quadrupling sample size will half the standard deviation.

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3 years ago