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2 years ago

What digit (s) can be in the ones place of a number that has 5as a factor

Mathematics

1 answer:

slavikrds [6]2 years ago

7 0

If 5 is a factor of the number, then its ones place is either a 5 or a zero.

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What is the volume (in cubic units) of a sphere with a radius of 18 units? Assume that π = 3.14 and round your answer to the nea

Nataly [62]

Answer:

The volume of sphere is $24416.64\ cm^3$ .

Step-by-step explanation:

We have,

Radius of a sphere is 18 units.

It is required to find the volume of sphere.

The formula of the volume of sphere in terms of radius is given by :

$V=\dfrac{4}{3}\pi r^3$

Plugging all values in above formula

$V=\dfrac{4}{3}\times 3.14\times (18)^3\\\\V=24416.64\ cm^3$

So, the volume of sphere is $24416.64\ cm^3$ .

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2 years ago

If m = 3 and b = 6, what is the correct equation for Line of Best Fit?

Alchen [17]

Answer:

Step-by-step explanation:

The equation is Y = mx + b so just plug in the m and the b

6 0

3 years ago

Read 2 more answers

Construct a 95% confidence interval for the population mean, μ. Assume the population has a normal distribution. A random sample

GuDViN [60]

Answer: $(628.48,\ 661.52)$

Step-by-step explanation:

Given : Sample size : $n=16$ , which is a small sample (, 30) so we use t-test.

Sample mean : $\overline{x}=645 \text{ hours}$

Standard deviation : $\sigma = 31 \text{ hours}$

Significance level : $\alpha=1-0.95=0.05$

Critical value : $t_{n-1,\alpha/2}=2.131$

The confidence interval for population mean is given by :-

$\overline{x}\pm t_{n-1,\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=645\pm(2.131)\dfrac{31}{\sqrt{16}}\\\\\approx645\pm16.52\\\\=(645-16.52,\ 645+16.52)\\\\=(628.48,\ 661.52)$

Hence, a 95% confidence interval for the population mean $\mu$ = $(628.48,\ 661.52)$

6 0

3 years ago

A parabola can be represented by the equation y2 = –x. What are the coordinates of the focus and the equation of the directrix?

shutvik [7]

ANSWER

Focus:

$(- \frac{1}{4} ,0)$

Directrix:

$x=\frac{1}{4}$

EXPLANATION

The given parabola has equation:

${y}^{2} = - x$

We compare this to the general equation,

${y}^{2} = - 4px$

Comparing the coefficient of x, we have:

-4p=-1

$p = \frac{1}{4}$

The focus is (-p,0)

$(- \frac{1}{4} ,0)$

The equation of the directrix is

x=p

$x = \frac{1}{4}$

5 0

3 years ago

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Simplify the following expression:<br><br> -3(x + 6) + 8x

12345 [234]

Answer:

5x - 18

Step-by-step explanation:

-3(x + 6) + 8x

Multiply

(-3 * x) + (-3 * 6) + 8x

-3x + (-18) + 8x

5x - 18

Hope this helps :)

3 0

3 years ago

Read 2 more answers