Mathematics, 19.09.2019 16:30, yonna74

Concerns about climate change and co2 reduction have initiated the commercial production of blends of biodiesel (e. g., from renewable sources) and petrodiesel (from fossil fuel). random samples of 35 blended fuels are tested in a lab to ascertain the bio/total carbon ratio. (a) if the true mean is 0.9480 with a standard deviation of 0.0060, within what interval will 95 percent of the sample means fall? (round your answers to 4 decimal places.)

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answered: makayyafreeman

The 95% confidence interval for a random sample of 35 blended fuels is (0.9460 ; 0.9500)

Given the Parameters :

Population mean, μ = 0.9480Standard deviation, σ = 0.0060Sample size, n = 35 Zcritical, Z* = 1 - 0.95 = 0.05 $= Z_{0.05} = ±1.96$

The confidence interval is defined thus :

μ ± Z*(σ/√n)

Confidence interval = 0.9480 ± 1.96(0.0060/√35)

Confidence interval = 0.9480 ± 0.0020

Lower boundary = 0.9480 - 0.00020 = 0.9460Upper boundary = 0.9480 + 0.0020 = 0.9500

Therefore, the confidence interval is (0.9460 ; 0.9500)

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answered: Reaksomayroth

$(0.9460\ ,\ 0.9500)$

Step-by-step explanation:

Given : Population mean : $\mu=0.9480$

Standard deviation : $\sigma=0.0060$

Sample size : n=35

Significance level : $\alpha=1-0.95=0.05$

Critical value = $z_{\alpha/2}=\pm1.96$

The confidence interval for sample mean is given by :-

$\mu\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

i.e. $0.9480\pm (1.96)\dfrac{0.0060}{\sqrt{35}}$

$\approx0.9480\pm0.0020=(0.9480-0.0020\ ,\ 0.9480+0.0020)\\\\=(0.9460\ ,\ 0.9500)$

Hence, the required interval= $(0.9460\ ,\ 0.9500)$

answered: Guest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

answered: Guest

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2

What is the value of x to the nearest tenth ? answers choices 12.9 11.2 0.1

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