Mathematics, 17.03.2020 17:34 tiasoraw

A tetrahedron has 4 sides. If the numbers 1, 2, 3, and 4 are on the faces of the tetrahedron, what
is the probability of randomly rolling a 3?

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Answer from: slowmotion

Probability of randomly rolling a 3 is 1/4

Step-by-step explanation:

Step 1:

It is given that a tetrahedron has 4 sides with 1,2,3 and 4 and is randomly rolled. We need to compute the probability of randomly rolling a 3.

Step 2:

Probability of an event = (Favorable outcomes) / (Total outcomes).

There are 4 total outcomes when the tetrahedron is rolled, these are the values 1 to 4.

The only favorable outcome is getting a 3

Probability of getting a 3 when the tetrahedron is randomly rolled = 1/4

Step 3:

Probability of randomly rolling a 3 is 1/4

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

Answer from: Quest

in 2010, the population of the state of california is 37.29 × 10⁶

step-by-step explanation:

population of los angeles = 3.79 × 10⁶

population of california = 9.84 × population of los angeles

= 9.84 × 3.79 × 10⁶

= 37.2936 × 10⁶

= 37.29 × 10⁶

∴ in 2010, the population of the state of california is 37.29 × 10⁶

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