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2 years ago

Derivative of the (sqrt of t/4t-3)

1 answer:

3 0

Next time, please enclose the function in the denominator inside parentheses.

Derivative of the (sqrt of t/4t-3) should be
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Derivative of the (sqrt of t/[4t-3])

then f(t) = sqrt( t / [4t-3] ), or f(t) = ( t/ [4t-3])^(1/2)

Use the power rule here. f '(t) = (1/2) [ t/{4t-3} ]^(-1/2) times the derivative of [ t / (4t-3) ]. Can you finish this differentiation?

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Which correlation coefficient is most appropriate for the scatterplot shown below?

Jlenok [28]

I think it’s 3 not sure tho because i forgot most things about it

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2 years ago

Predict if the product will be greater than, less than or equal to the second factor 4/5 x 1 2/5 = y

Radda [10]

Answer:

The product will be less than the second factor.

Step-by-step explanation:

Given the expression

$\frac{4}{5}\:\times \:1\frac{2}{5}\:=y$

solving to determine the product value

$y=\:\frac{4}{5}\times \:\:1\frac{2}{5}$

$=\frac{4}{5}\times \frac{7}{5}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}$

$=\frac{4\times \:7}{5\times \:5}$

$=\frac{28}{5\times \:5}$

$=\frac{28}{25}$

As the value of the second factor is:

$1\frac{2}{5}=\frac{7}{5}=1.4$

And the product value is:

$y=\frac{28}{25}=1.12$

It is clear that the product value 'y = 1.12' is lesser than the second factor value '1.4'.

i.e. 1.12 < 1.4

Thus, the product will be less than the second factor.

4 0

2 years ago

When testing gas pumps for accuracy, fuel-quality enforcement specialists tested pumps andfound that 1304 of them were not pumpi

elena-14-01-66 [18.8K]

Answer:

The p-value of the test statistic from the standard normal table is 0.0017 which is less than the level of significance therefore, the null hypothesis would be rejected and it can be concluded that there is sufficient evidence to support the claim that less than 20% of the pumps are inaccurate.

Step-by-step explanation:

Here, 1304 gas pumps were not pumping accurately and 5689 pumps were accurate.

x = 1304, n = 1304 + 5689 = 6993

The level of significance = 0.01

The sample proportion of pump which is not pumping accurately can be calculated as,

The claim is that the industry representative less than 20% of the pumps are inaccurate.

The hypothesis can be constructed as:

H0: p = 0.20

H1: p < 0.20

The one-sample proportion Z test will be used.

The test statistic value can be obtained as:

$Z=\frac{\hat{p}-P}{\sqrt{\frac{P(1-P))}{n}}}\\\\Z=\frac{0.186-0.20}{6993}\\\\Z=-2.927$

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2 years ago

10 in<br> Given the figure. Find AC.

rjkz [21]

Answer:

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Step-by-step explanation:

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2 years ago

Identify a sequence of transformations that maps triangle ABC onto triangle A"B"C" in the image below.

Murljashka [212]

Answer:

The correct option is B.

Step-by-step explanation:

It is given that triangle A"B"C" is the image of triangle ABC after transformation.

From the given figure it is noticed that the point C lies on positive y-axis and point C" lies on negative x-axis.

It means the figure is rotated either counterclockwise 90° or clockwise 270°. The rotation rule is

$(x,y)\rightarrow (-y,x)$