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ipn
3 months ago
5

the volume of a cone is 3πx3 cubic units and its height is x units. which expression represents the radius of the cone’s base, i

n units? 3x 6x 3πx2 9πx2
Mathematics
2 answers:
Inessa [12.5K]3 months ago
7 0
The volume provided is 3Pi(x^3) with a radius of x. To determine the volume of a cone, the formula used is V= [1/3]Pi(r^2)*height. By substituting, we get [1/3]Pi(r^2)x = 3Pi(x^3). This simplifies to (r^2)x = 9(x^3). Eventually, we find that r^2 = 9x^2, which leads to r = sqrt[9x^2] = 3x. <span>Answer: r = 3x</span>
Zina [12.3K]3 months ago
6 0
The response to this question is 3x.
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3 months ago
A major department store chain is interested in estimating the mean amount its credit card customers spent on their first visit
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Answer: D) \$50\pm\$11.08

Step-by-step explanation:

Based on the provided information, we have

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Since the population standard deviation is not known, we utilize a t-test.

For a significance level of 95% confidence: \alpha=1-0.95=0.05

Critical t-value : t_{n-1, \alpha/2}=t_{014,0.025}=2.145  [Using the Student's t-value table]

The required 95% confidence interval yields:-

\overline{x}\pm t_{n-1, \alpha/2}\dfrac{s}{\sqrt{n}}\\\\ =\$50.50\pm(2.145)\dfrac{\$20}{\sqrt{15}}\\\\\approx \$50\pm\$11.08

Thus, the sought-after 95% confidence interval for the mean amount spent by credit card customers during their initial visit to the new store in the mall, assuming normal distribution of the spending amounts, is:

\$50\pm\$11.08

5 0
3 months ago
A statistics teacher was interested in the relationship between the number of days students waited to start a project and the sc
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A: With each additional procrastination day, the expected grade drops by 3.64 points.

Step-by-step explanation:

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A linear equation can be expressed in slope-intercept form:

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Here, m represents the slope and b indicates the y-intercept.

The slope reveals the rate and direction of change in the graph as x varies.

<pif m="" is="" positive="" increases="" in="" x="" result="" y.="">

If m is negative, increases in x lead to decreases in y.

<pthe regression="" equation="" is:="">

ŷ = –3.64x + 96.5

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<pthus the="" slope="" is="" m="-3.64." this="" indicates:="">

A: With each additional procrastination day, the expected grade drops by 3.64 points.

</pthus></pthe></pif>
5 0
3 months ago
Read 2 more answers
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