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2 months ago

Describe how you regroup when you find the sum of 64+43

1 answer:

5 0

In this case, regrouping involves carrying.

The vertical addition of 64+43 would look like:

64
+43
-------
107
The sum of 4 and 3 gives 7, indicating that 7 is in the ones position, but that isn’t the main focus.
The sum of 60 and 40 gives 100, prompting the need to carry the one to the hundreds place.

I hope this explanation was helpful!

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A tennis ball is tossed into the air. The height, h(t), in feet, of the tennis ball is a function of time, t, in seconds, as sho

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2 months ago

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Answer:

At the α = 0.10 level, there is no substantial evidence indicating that the average vertical jump for students at this school differs from 15 inches.

Step-by-step explanation:

A hypothesis test is necessary to verify the assertion that the average vertical jump of students diverges from 15 inches.

The null and alternative hypotheses are:

$H_0: \mu=15\\\\H_a: \mu\neq15$

The significance level is set at 0.10.

The sample mean recorded is 17, and the sample standard deviation is 5.37.

The degrees of freedom are calculated as df=(20-1)=19.

The t-statistic is:

$t_{19}=\frac{M-\mu}{s_M/\sqrt{n}} =\frac{17-15}{5.37/\sqrt{20}}=\frac{2}{5.37/4.47} =2/1.20=1.67$

The two-tailed P-value corresponding to t=1.67 is P=0.11132.

<pSince this P-value exceeds the significance level, the result is not significant. Therefore, the null hypothesis remains unchallenged.

At the α = 0.10 level, there is no compelling evidence that the average vertical jump of students at this school deviates from 15 inches.

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2 months ago

Which function has no horizontal asymptote? F (x) = StartFraction 2 x minus 1 Over 3 x squared EndFraction f (x) = StartFraction

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Response:

$f(x)=\frac{2x^2}{3x-1}$

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The function $f(x)=\frac{2x-1}{3x}$ features a horizontal asymptote which is $y=\frac{2}{3}$

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One function $f(x)=\frac{2x^2}{3x-1}$ lacks a horizontal asymptote because the degree of its numerator surpasses that of the denominator,

The function $f(x)=\frac{3x^2}{x^2-1}$ displays a horizontal asymptote which is $y=3$

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2 months ago

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