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3 years ago

Write the equation and solve...

Mathematics

1 answer:

ss7ja [257]3 years ago

6 0

Answer:

Step-by-step explanation:

let width=x

length=3x

area=x*3x=3x^2

so 3x^2=10

$x=\sqrt{\frac{10}{3} } \\width=\sqrt{\frac{10}{3} } \\length=3*\sqrt{\frac{10}{3} } =\sqrt{30}$

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Given f(x) =4x-5,find f(3)

Crazy boy [7]

Answer:

f(3) = 7

Step-by-step explanation:

Substitute x = 3 into f(x) , that is

f(3) = 4(3) - 5 = 12 - 5 = 7

8 0

3 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.

7 0

3 years ago

A line is defined by the equation y = two-thirds x minus 6. The line passes through a point whose y-coordinate is 0. What is the

DedPeter [7]

$y = \cfrac{2}{3}x~~ - ~~6~\hspace{10em} (\stackrel{x}{?}~~,~~\stackrel{y}{0}) \\\\\\ 0=\cfrac{2}{3}x~~ - ~~6\implies 6=\cfrac{2x}{3}\implies 18=2x\implies \cfrac{18}{2}=x\implies 9=x$