Consider u have a 6 side dice what are the probabilities of It landing on 4

Mathematics

2 answers:

DENIUS [597]3 years ago

7 0

You have a 1 in 6 chance

nexus9112 [7]3 years ago

3 0

1 in 6 it is a six sided dice there is only a 1 in 6 chance

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Lim (sin(pi/x)) as x tends to 0 from both sides

strojnjashka [21]

Hello from MrBillDoesMath!

Answer:

Limit does not exist.

Discussion:

The function 1/x has a vertical asymptote as x approaches 0 so

sin (pi/x) has no limit as x approaches 0. In fact, it oscillates wildly between -1 and 1 as x approaches 0. See attached graph of function

Thank you,

MrB

8 0

3 years ago

Juma spent half of his july salary on school fees and two thirds of the remainder on food Calculate his July salary if he spent

Andrej [43]

The required salary of Juma in July month is sh.9600.

Given that,
he spent half of his July salary on school fees and two-thirds of the remainder on food.
he spent sh.3200 on food.

<h3>What is arithmetic?</h3>

In mathematics, it deals with numbers of operations according to the statements.

In the question,
Let the slay of Juma in July be x,
Juma spent half of his July salary on school fees = x/2
two-thirds of the remainder on food = 2/3 * x/2 = x/3
he spent sh.3200 on food i.e.
x / 3 = 3200
x = 3200 * 3
x = 9600

Thus, the required salary of Juma in July month is sh.9600.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ1

5 0

2 years ago

Consider the circle of radius 5 centered at (0,0), how do you find an equation of the line tangent to the circle at the point (3

Flauer [41]

$\text{We know that the tangent at any point on a circle is perpendicular}\\
\text{to the radius at that point.}\\
\\
\text{so first we find the equation of the line joining (0,0) and (3,4)}\\
\text{and then using the slope, we find the line perperndicular to it at (3,4)}\\
\\
\text{the equation of the line passing through (0,0) and (3,4) is}\\
\\
y-0=\frac{4-0}{3-0}(x-0)$

$\Rightarrow y=\frac{4}{3}x\\
\\
\text{so the slope of radius is }m=\frac{4}{3}.\\
\\
\text{we know that the product of the perpendicular lines is }-1. \\
\\
\text{so the slope of the perpendicular line would be}=-\frac{1}{4/3}=-\frac{3}{4}\\
\\
\text{So the equation of the tangent line has slope }-\frac{3}{4} \text{ and}\\
\text{passing through (3,4). so equation of tangent line is}$

$y-4=-\frac{3}{4}(x-3)\\
\\
\Rightarrow y-4=-\frac{3}{4}x+\frac{9}{4}\\
\\
\Rightarrow y=-\frac{3}{4}x+\frac{9}{4}+4\\
\\
\Rightarrow y=-\frac{3}{4}x+\frac{9+16}{4}\\
\\
\text{so the equation of tangent line is:} y=-\frac{3}{4}x+\frac{25}{4}$