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4 years ago

A spinner has 10 equal-sized sections. Two of the sections are red.

Mathematics

1 answer:

hichkok12 [17]4 years ago

8 0

Answer:

a. Probability of landing on red = $\frac{1}{5}$

b. <em>See Explanation</em>

Step-by-step explanation:

Given

A Spinner

Number of section = 10 (equal sized)

Number of red section = 2

Required

- Probability of landing on red

- Describe the probability in words

Calculating the probability of landing on red

The formula used in calculating probability is as follows

Probability = Number of required outcomes / Number of possible outcomes

In this case, the number of required outcomes is the number of red section.

Hence, number of required outcomes = 2

And the number of possible outcomes is the total section of the spinner

Hence, Number of possible outcomes = 10

By Substitution

Probability of landing on red = $\frac{2}{10}$

Probability of landing on red = $\frac{1}{5}$

Describe the probability in words

From (a) above, we have that the probability of the spinner landing on color red is $\frac{1}{5}$

This means that, for every five times, you spin the spinner, it's likely that one of the outcomes will be red.

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Which inequality is represented by the graph? y≥35x−1.5 y≤35x−1.5 y<35x−1.5 y>35x−1.5

Setler79 [48]

Answer:

y > 0.6x - 1.5

Step-by-step Explanation:

We need two points, to get to the equation of the graph.

Since we've got the following equation for two points (x1, y1), (x2, y2):-

$\boxed{ \mathsf{ \red{y - y_{1} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} (x - x_{1}) }}}$

okay soo

I found two points that lie on this graph, not on the shaded region but yeah the dotted line which defines the graph.

one point is <u>(0, -1.5)</u> which lies on the y axis(the point where the dotted line touches the y axis)

other point is <u>(2.5, 0)</u> and this lies on the x axis

placing these points in the place of (x1, y1) and (x2, y2) in the above mentioned equation

$\mathsf{\implies y - ( - 1.5) = \frac{0 -( - 1.5)}{2.5 -0 } (x -0 )}$

you can take any one as (x1, y1) or (x2, y2).

so upon solving the above equation we get

$\mathsf{\implies (y + 1.5) = \frac{0 + 1.5}{2.5 } (x )}$

$\mathsf{\implies y + 1.5 = \frac{ 1.5}{2.5 } x }$

$\mathsf{\implies y + 1.5 = \frac{ \cancel{1.5}\:\:{}^3}{\cancel{2.5}\:\:{}^5 } x }$

$\mathsf{\implies y + 1.5 = \frac{ 3}{5 } x }$

multiplying both sides by 5

$\mathsf{5y + 7.5 = 3x}$

okay so this is the required equation of the dotted line

now we'll find the inequality

for this check whether the origin (0,0) lies under the shaded region or not

in this case it does

replacing x and y with 0

$\mathsf{\implies5(0) + 7.5 = 3(0)}$

$\mathsf{\implies0 + 7.5 = 0}$

this is absurd, 7.5 is not equal to 0 so we're gonna replace that equals sign with that of inequality

7.5 is greater than 0! so,

$\mathsf{\implies7.5 > 0}$

this goes for the whole equation, since we didnt swap any thing from left to right side of the equation or vice versa we can use this sign, to obtain the required inequality

$\mathsf{5y + 7.5 > 3x}$

dividing this inequality by 5, since there's no co-efficient in front of y in the given answers

we get

y + 1.5 > 0.6x

taking 1.5 to the RHS

that is the last option

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If you're using the app, try seeing this answer through your browser: brainly.com/question/2782751

_______________

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Tags: <em>cosine secant cos sec relation reciprocal trig trigonometry</em>

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