Answer:
x = -1
Step-by-step explanation:
1/2 = 2/4
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1/4x + 3/4 = 2/4
<u> -3/4 -3/4</u>
1/4x = -1/4
divide by -1/4
x = -1
<em><u>Hope this helped! Have a nice day! Plz mark as brainliest!!!</u></em>
<em><u>-XxDeathshotxX</u></em>
Answer:
0.6 feet
Step-by-step explanation:
We solve this question using the Trigonometric function of Tangent.
tan θ = Opposite/Adjacent.
Where:
Opposite = Height /Length of the ramp = ?
Adjacent = Distance from the base of the ramp = 4 feet
θ = 8.1°
Therefore,
tan 8.1° = x/4
Cross Multiply
x = tan 8.1 × 4
x = 0.5692843028 feet
Approximately = 0.6 feet
Length of the ramp = 0.6 feet.
Jill had a total score of 40 on 13 quizzes, so her average was
40/13 ≈ 3.08
_____
1 quiz @ 1 = total of 1
3 quizzes @ 2 = total of 6
4 quizzes @ 3 = total of 12
4 quizzes @ 4 = total of 16
1 quiz @ 5 = total of 5
total score = 1 + 6 + 12 + 16 + 5 = 40
total quizzes = 1 + 3 + 4 + 4 + 1 = 13
For 1 play, the chance of gaining $8 is 4/38, while the chance of losing the $1 is 34/38. Therefore, the expected value is ($8)(4/38) + ($-1)(34/38) = $(-1/19). Over 50 plays, which are mutually independent of each other, we multiply the number of plays by the expected value to get $(-50/19) = $-2.63.
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X/12 = -8
Solve for x by multiplying both sides by 12
X = -96
