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Deffense [45]
3 years ago
13

When a 49 pound weight is attached to a spring, the spring

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
6 0

im not for sure but I think the answer is 9! my reasoning is below,,

Step-by-step explanation:

\frac{49}{7}  =  \frac{63}{x}

do the crossing method and it would result in this

(49×x) = (63×7)

after simplifying both sides

49x = 441

divide both sides by 49 and the result will be

x = 9 !!

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Aleks04 [339]

Answer:

y=4

Step-by-step explanation:

its asking which one you can answer without any more context, in this case its y=4 because all the other ones evolving x lead to a rabbit hole and will take you in circles.

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Step-by-step explanation:

For each unit of run in the x-values, there is an increase of 3 in the y-values. Slope is Rise over Run so 3/1 = 3

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A doctor wants to estimate the mean HDL cholesterol of all​ 20- to​ 29-year-old females. The number of subjects needed to estima
Ludmilka [50]

Answer:

n=(\frac{1.64(14.7)}{3})^2 =64.57 \approx 65

So the answer for this case would be n=65 rounded up to the nearest integer

And the sample size would decrease by 160-65=95 subjects

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

ME represent the margin of error

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

2) Solution to the problem

Since the new Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that z_{\alpha/2}=1.64

Assuming that the deviation is known we can express the margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =\pm 3 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

Replacing into formula (b) we got:

n=(\frac{1.64(14.7)}{3})^2 =64.57 \approx 65

So the answer for this case would be n=65 rounded up to the nearest integer

And the sample size would decrease by 160-65=95 subjects

8 0
3 years ago
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77julia77 [94]

Answer:

x = 2

Step-by-step explanation:

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Add 6 to both sides of the equation.

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Add 2 and 6.

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Divide each term by 4 and simplify.

Divide each term in 4x = 8 by 4.

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Reduce the expression by cancelling the common factors.

x=\frac{8}{4}

Divide 8 by 4.

x = 2

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In the diagram given below, △DEF∼△DGH, Find q
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Answer:

q=3

Step-by-step explanation:

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