We first determine the z-scores for the given x-values of 64 and 96.
For x = 64: z = (64 - 80) / 8 = -2
For x = 96: z = (96 - 80) / 8 = 2
Therefore we find the probability that -2 < z < 2, which is around 0.95. Therefore, out of 100 students, approximately 100(0.95) = 95 students will weigh between 64 and 96 pounds.
Answer:
Step-by-step explanation:
- 4 yards = 4*36 in = 144 in
<u>Angle is x</u>
- tan(x/2) = 1/2 * 1/144
- x/2 = arctan (1/288)
- x /2 = 0.1989428794619145°
- x = 2*0.1989428794619145°
- x = 0.39788575892°
- x = 0.40° (rounded)
Answer:
19
Step-by-step explanation:
2x+7=45
2x=38
X=19
I hope this helps
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Answer
5.0/5
7
oeerivona
Answer:
The value of x is 9°
Step-by-step explanation:
The given parameters are;
ΔUVW with side UW extended to X
m∠UVW = (3x + 4)°
m∠VWX = (8x -12)°
m∠WUV = (x + 20)°
We have that m∠UVW + m∠WUV + m∠VWU = 180° (Sum of the interior angles of a triangle theorem)
∴ m∠VWU = 180° - (m∠UVW + m∠WUV)
Also we have that m∠VWX and m∠VWU are supplementary angles, (The sum of angles on a straight line)
∴ m∠VWX + m∠VWU = 180° (Definition of supplementary angles)
m∠VWU = 180° - m∠VWX
∴ m∠VWX = (m∠UVW + m∠WUV)
Substituting the values, gives;
(8x -12)° = (3x + 4)° + (x + 20)°
8x - 3x - x = 4 + 20 + 12
4x = 36
x = 36/4 = 9
x = 9°.
Use a proportion.
cups of raisins to cups = cups of raisins to cups
2/12 = 8/x
2x = 8 * 12
x = 4 * 12
x = 48
Answer: 48 cups
