<span>x^2 - 11x + 24 = (x - 8)(x - 3)
hope it helps</span>
Using the principle of probability, the probability that the outcome of both spins does not land on "<em>bankrupt</em><em>"</em><em> </em>is 1/144
<u>Given</u><u> </u><u>the</u><u> </u><u>Parameters</u><u> </u><u>:</u>
- Total Number of possible outcomes = 24
- Number of outcomes labeled bankrupt = 2
- Labels which aren't labeled bankrupt = 24 - 2 = 22
<u>Recall</u><u> </u><u>:</u>
- P(A) = <em>required</em><em> </em><em>outcome</em><em> </em><em>/</em><em> </em><em>Total</em><em> </em><em>possible outcomes</em><em> </em>
<u>First</u><u> </u><u>spin</u><u> </u><u>:</u>
- P(not bankrupt) = 2 / 24 = 1/12
<u>Second</u><u> </u><u>spin</u><u> </u><u>:</u>
- P(not bankrupt) = 2/24 = 1/12
P(<em>neither</em><em> </em><em>lands</em><em> </em><em>on</em><em> </em><em>bankrupt</em><em>)</em><em> </em><em>=</em><em> </em>1/12 × 1/12 = 1/144
Therefore, the probability that neither lands on bankrupt is 1/144
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The measure of the vertex angle of the isosceles Δ is 96°
Step-by-step explanation:
In the isosceles triangle
- Two sides are equal in lengths
- The angle between the two equal sides is called vertex angle
- The other two angles are called base angles
- The base angles are equal in measure
∵ The measure of one of the base angles of an isosceles Δ = 42°
- The base angles are equal in measure
∴ The measure of the other base angle = 42°
∵ The sum of the measures of the interior angles of any Δ = 180°
∴ 42 + 42 + measure of the vertex angle = 180
∴ 84 + measure of the vertex angle = 180
- Subtract 84 from both sides
∴ measure of the vertex angle = 96°
The measure of the vertex angle of the isosceles Δ is 96°
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You can learn more about the triangles in brainly.com/question/6530759
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-2, 2/3, 5, 7.1
hope this helps
Answer:
Distance = 10 km
Step-by-step explanation:
Let x be the number of hours taken from school to town and y be the number of hours taken back to the school
Then distance covered during first trip would be 10x (distance = speed*time) and during the second trip would be 8y. Both distances are equal.
=> 10x = 8y
Dividing both sides by 2
=> 5x = 4y
=> 5x-4y = 0 ------------------(1)
<u><em>The total time for both the trips is:</em></u>
=> x + y = 2.25 -------------------(2)
Multiplying eq (2) by 5
=> 5x+5y = 11.25 ---------------(3)
Subtacting (3) from (1)
=> 5x-4y-5x-5y = 0-11.25
=> -4y-5y = -11.25
=> -9y = -11.25
Dividing both sides by -9
=> y = 1.25 hrs
Putting in (2)
=> x + 1.25 = 2.25
=> x = 2.25 - 1.25
=> x = 1 hr
<u><em>Now, Calculating the Distance</em></u>
=> Distance = 10x
=> 10 ( 1 )
=> Distance = 10 km
