Answer:
The equation of the line would be y = 5/4x - 4
Step-by-step explanation:
To find the equation of any line, start by finding the slope using the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (-4 - 1)/(0 - 4)
m = -5/-4
m = 5/4
Now that we have the slope, use that and either point to get the equation of the line
y - y1 = m(x - x1)
y + 4 = 5/4(x - 0)
y + 4 = 5/4x
y = 5/4x - 4
Answer:
B. $11
Step-by-step explanation:
The probability that a person wins the game is 32.1%
<h3>How to illustrate the probability?</h3>
Based on the information given, the following can be depicted. It should be noted that there are 6 sides as well as 4 cards.
Therefore, the numbers on the dice i.e from 1 - 6 will be represented 4 times each. This gives a total of (4 × 6) = 24. There are also 4 cards. The total in sample space will now be:
= 24 + 4 = 28
The frequency table will be such that 28 or more has a relative frequency of 9. Therefore, the probability that a person wins the game will be:
= 9/28 = 32.1%
When you win 25% of the time, this illustrates that the number of products picked will be:
= 25% × 28
= 7 products.
The probability of participants achieving a winning score of 36 or higher in four consecutive attempts will be:
= 1/6⁴
= 1/1296
Learn more about probability on:
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Answer:
20) 30°; 21) 21,1; 22) 6,2
Step-by-step explanation:
For the first image, you have to do <em>csc</em><em>⁻</em><em>¹</em><em> </em><em>2</em><em> </em>[OR <em>sin</em><em>⁻</em><em>¹</em><em> </em><em>½</em>] because you are solving for an angle measure. When evaluated, you get 30°.
For the second image, you have to do <em>13sec</em><em> </em><em>52</em><em>°</em><em> </em><em>=</em><em> </em><em>x</em><em> </em>[OR <em>13\</em><em>cos</em><em> </em><em>52</em><em>°</em><em> </em><em>= x</em>]. When evaluated, you get an approximate measure of 21,1.
For the third image, you have to do <em>6csc</em><em> </em><em>75</em><em>°</em><em> </em><em>=</em><em> </em><em>x</em><em> </em>[OR <em>6</em><em>\</em><em>sin</em><em> </em><em>75</em><em>°</em><em> </em><em>= x</em>]. When evaluated, you get an approximate measure of 6,2.
Extended information on Trigonometric Ratios
O\H = sin θ
A\H = cos θ
O\A = tan θ
H\A = sec θ
H\O = csc θ
A\O = cot θ
I am joyous to assist you anytime.
