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3 years ago

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The seconds hand of an analog clock completes an entire rotation in 60 seconds, and the length of the seconds hand is 5 inches.

Approximately how far does the tip of the seconds hand travel in 3 minutes and 15 seconds?

2 answers:

zaharov [31]3 years ago

5 0

Answer:

195

Step-by-step explanation:

3 x 60 = 180

180 + 15

195

tigry1 [53]3 years ago

5 0

Answer:

90

2.5

Step-by-step explanation:

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Which best describes the equation that the graph represents?

andreev551 [17]

Answer:

y= $\frac{9}{5}$ x

Step-by-step explanation:

Given the two points:

Origin (x1, y1) = (0, 0)
The point (x2, y2) = (5, 9)

Because the x-axis is labeled time (in minutes) and the y-axis is labeled distance (in kilometers).

=>Time, x the independent variable,and distance is the dependent variable.

We have the standard form of a linear equation is:

y= mx + b where a is the slope

We know that, the slope of the function is:

m = $\frac{y2-y1}{x2-x1}$

In this situatuon, m = $\frac{9-0}{5-0} = \frac{9}{5}$

=> y= $\frac{9}{5}$ x + b(1)

The line that goes through (0, 0) so we substitute (0, 0) into (1), we have:

0 = $\frac{9}{5}$ *0 + b

<=> b = 0

So our equation that the graph represents is: y= $\frac{9}{5}$ x

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What does this symbol mean?±

aniked [119]

Answer:

it means "plus or minus"

Step-by-step explanation:

hope tht helped

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A company wishes to manufacture a box with a volume of 36 cubic feet that is open on top and is twice as long as it is wide. Fin

Nimfa-mama [501]

Answer:

Width is 3 ft

length is 6 ft

Step-by-step explanation:

Let x = the width

Let 2x = the length

Let h = the height

We know that volume is given v = l×b×h

so we have v = volume $= x*2x*h$

$2x^2*h = 36$

$h = \frac{18}{x^2}$

surface area include 2 ends + 1 bottom and 2 sides excluding top

$S.A. = 2(x*h) + 1(2x*x) + 2(2x*h)$

$S.A. = 2xh + 2x^2 + 4xh$

we have calculate $h = = \frac{18}{x^2}$

$S.A = 2x^2 + 6x \frac{18}{x^2}$

$S.A = 2x^2 + \frac{108}{x}$

By graphing above equation we can calculate the value of x

Minimum S.A when x is 3 is the width so

2(3) = 6 is the length

$h = \frac{18}{3^2} = 2$

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Can someone help me with this pls

Shtirlitz [24]

The answer is -12
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Based on a poll, 60% of adults believe in reincarnation. Assume that 5 adults are randomly selected, and find the indicated p

vlabodo [156]

Answer:

There is a 25.92% probability that exactly 4 of the selected adults believe in reincarnation.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they believe in reincarnation, or they do not believe. This means that we can solve this problem using the binomial probability distribution.

Binomial probability distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem

There are 5 adults, so $n = 5$

60% believe in reincarnation, so $p = 0.6$

What is the probability that exactly 4 of the selected adults believe in reincarnation?

This is P(X = 4).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 4) = C_{5,4}.(0.6)^{4}.(0.4)^{1} = 0.2592$

There is a 25.92% probability that exactly 4 of the selected adults believe in reincarnation.

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