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3 years ago

8

A ball shaped like a sphere has a radius of 2.7 centimeters. Which measurements is closest too the volume of the ball in cubic c

entimeters

1 answer:

Advocard [28]3 years ago

8 0

About 82.45 centimeters cubed because the equation for volume of a sphere is 4/3 pi times radius cubed

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Evaluate the determinant for the following matrix [3 -5 / 1 1]

Natalka [10]

Answer:

<h2>A. -2</h2>

Step-by-step explanation:

$\det\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] =ad-bc\\\\\det\left[\begin{array}{ccc}3&-5\\1&1\end{array}\right] =(3)(1)+(-5)(1)=3-5=-2$

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3 years ago

Which equation represents a line that passes through the two points in the table x 1,5 and y 1,6

aleksandrvk [35]

For this case we must find a linear equation of the form:

$y = mx + b$

Where,

m: slope of the line

b: cutting point with vertical axis.

For the slope we have the following equation:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}$

Substituting values we have:

$m = \frac {6-5} {1-1}\\m = \frac {1} {0}$

We observe that the slope of the line is not defined.

Therefore, the line is vertical.

Thus, the equation of the line is given by:

$x = 1$

Answer:

The equation of the line is given by:

$x = 1$

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4 years ago

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miv72 [106K]

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3 years ago

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What quadrilateral has exactly one pair of parallel sides

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A trapezoid is a quad that has exactly one pair of parallel sides

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3 years ago

1. A new brand of hot dog claims to have a lower sodium content than the leading brand.

kherson [118]

Answer:

(a) Population mean = 314.5mg

(b) Margin of error = 21.281mg

(c) No, 350mg is not a plausible value

The new brand of hot dog has a lower sodium content on average than the leading brand

(d) Yes

Step-by-step explanation:

(a) Population mean = (370+326+322+297+326+289+293+264+327+331)/10 = 3145/10 = 314.5mg

(b) Margin of error = t×sd/√n

sd = 29.73, n = 10, degree of freedom = n-1 = 10-1 = 9

Assuming 95% confidence level

t-value corresponding to 9 degrees of freedom and 95% confidence level is 2.262

Margin of error = 2.262×29.73/√10 = 21.281mg

(c) No

Lower limit of new brand = 314.5 - 21.281 = 293.219mg

Upper limit = 314.5 + 21.281 = 335.781mg

The range of sodium content for the new brand of hot dog is between 293.219mg and 335.781mg which is lower than the leading brand (350mg)

(d) Margin of error = t×sd/√n

From the formula above, margin of error varies inversely as the square root of sample size

The smaller the sample size (n = 10) the larger the margin of error and the less accurate is the population mean

The larger the sample size (n = 40) the smaller the margin of error and the more accurate is the population mean

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4 years ago