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2 years ago

Do the ratios 16:15 and 96:90 form a proportion?

Mathematics

1 answer:

Viktor [21]2 years ago

4 0

Step-by-step explanation:

ratios are proportional if they represent the same relationship one way to see if two ratios are proportional is to write them as fraction and then reduce them if the reduce fractions are the same you're right ratios are proportional that's how you know

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The 2008 Workplace Productivity Survey, commissioned by LexisNexis and prepared by WorldOne Research, included the question, "Ho

vitfil [10]

Answer:

Therefore, the sampling distribution of $\bar{x}$ is normal with a mean equal to 9 hours and a standard deviation of 0.7969 hours.

The 95% interval estimate of the population mean $\mu$ is

LCL = 7.431 hours to UCL = 10.569 hours

Step-by-step explanation:

Let X be the number of hours a legal professional works on a typical workday. Imagine that X is normally distributed with a known standard deviation of 12.6.

The population standard deviation is

$\sigma = 12.6 \: hours$

A sample of 250 legal professionals was surveyed, and the sample's mean response was 9 hours.

The sample size is

$n = 250$

The sample mean is

$\bar{x} = 9 \: hours$

Since the sample size is quite large then according to the central limit theorem, the sample mean is approximately normally distributed.

The population mean would be the same as the sample mean that is

$\mu = \bar{x} = 9 \: hours$

The sample standard deviation would be

$s = {\frac{\sigma}{\sqrt{n} }$

Where is the population standard deviation and n is the sample size.

$s = {\frac{12.6}{\sqrt{250} }$

$s = 0.7969 \: hours$

Therefore, the sampling distribution of $\bar{x}$ is normal with a mean equal to 9 hours and a standard deviation of 0.7969 hours.

The population mean confidence interval is given by

$\text {confidence interval} = \mu \pm MoE\\\\$

Where the margin of error is given by

$$ MoE = t_{\alpha/2}(\frac{s}{\sqrt{n} } ) $ \\\\$

Where n is the sampling size, s is the sample standard deviation and is the t-score corresponding to a 95% confidence level.

The t-score corresponding to a 95% confidence level is

Significance level = α = 1 - 0.95 = 0.05/2 = 0.025

Degree of freedom = n - 1 = 250 - 1 = 249

From the t-table at α = 0.025 and DoF = 249

t-score = 1.9695

$MoE = t_{\alpha/2}(\frac{\sigma}{\sqrt{n} } ) \\\\MoE = 1.9695\cdot \frac{12.6}{\sqrt{250} } \\\\MoE = 1.9695\cdot 0.7969\\\\MoE = 1.569\\\\$

So the required 95% confidence interval is

$\text {confidence interval} = \mu \pm MoE\\\\\text {confidence interval} = 9 \pm 1.569\\\\\text {LCI } = 9 - 1.569 = 7.431\\\\\text {UCI } = 9 + 1.569 = 10.569$

The 95% interval estimate of the population mean $\mu$ is

LCL = 7.431 hours to UCL = 10.569 hours

8 0

3 years ago

The geometry of the hybrid orbitals about a central atom with sp3d hybridization is:________

Lyrx [107]

For sp3d hybridized central atoms, the only possible molecular geometry is trigonal bipyramidal.

Hybridisation (or hybridization) is a process of mathematically combining two or more atomic orbitals from the same atom to form an entirely new orbital different from its components and hence being called as a hybrid orbital.

In this case, if all the bonds are in place, the shape is also trigonal bipyramidal.

In chemistry, a trigonal bipyramid formation is a molecular geometry with one atom at the center and 5 more atoms at the corners of a triangular bipyramid.

Bond angle(s): 90°, 120°

Coordination number: 5

Point group: D3h

For more information about orbitals, visit

brainly.com/question/25886221

#SPJ4

8 0

1 year ago

Evaluate the expression: (-8/9) / (-2/3) * (-4 1/2)

navik [9.2K]

Answer:

-6

Step-by-step explanation:

7 0

2 years ago

What’s the numerator for the following rational expression please I need help quick taking test currently

bulgar [2K]

Answer:

Well, the most reasonable explanation would be j+8 or 8+j

4 0

3 years ago

Jeremy and Arnold are working on a project for math class in which they are to identify the quadratic equation that represents a

denis23 [38]

Answer:

The parabola generated by the expression :

$y=x^2-2x+3$

is the one that better represents a rain gauge above the ground.

Step-by-step explanation:

The function:

a) $y=x^2+11x+24$

Direction of parabola: branches pointing up

Location of vertex relative to x-axis: below

So, the parabola doesn't depict a rain gauge off the ground

b) $y=-x^2-6x-8$

Direction of parabola: branches pointing down

Location of vertex relative to x-axis: above

So, the parabola doesn't depict a rain gauge off the ground

c) $y=x^2-2x+3$

Direction of parabola: branches pointing up

Location of vertex relative to x-axis: two units above

So, the parabola depicts a rain gauge off the ground

d) $y=x^2+4x+4$

Direction of parabola: branches pointing up

Location of vertex relative to x-axis: right on the x-axis

So, the parabola doesn't depict a rain gauge off the ground (this is sitting on the ground)

e) $y=3x^2+21x+30$

Direction of parabola: branches pointing up

Location of vertex relative to x-axis: below

So, the parabola doesn't depict a rain gauge off the ground

5 0

2 years ago