Answer:
0.05155 or 5.155%
Step-by-step explanation:
We are given;
Weight of passenger cars the ferry can accommodate = 79 tons of passenger cars
Number of cars loaded = 39
Thus;
population mean weight; μ = 1.9
Since it can accommodate 79 tons of passenger cars, then their average weight should not exceed;
79/39 = 2.03 thus;
Sample mean; x¯ = 2.03
Standard deviation; σ = 0.5
Sample size; n = 39
Let's find the z-score value;
z = (x¯ - μ)/(σ/√n)
Thus;
z = (2.03 - 1.9)/(0.5/√39)
z = 0.13/0.08
z ≈ 1.63
Thus; P(z > 1.63) = 1 - P(z < 1.63)
From the z-score table attached, the p-value which is the probability is P(z < 1.63)
Thus;
P = 1 - 0.94845
P = 0.05155 or 5.155%
Answer:
∠QPT=122°
Step-by-step explanation:
Angles along a straight line add up to 180. Therefore:
∠PRQ+∠PRS=180
∠PRQ+118=180
∠PRQ=180-118
∠PRQ=62°
All angles in a triangle add to 180. Therefore:
∠PQR+∠QPR+∠PRQ=180
60+∠QPR+62=180
∠QPR+122=180
∠QPR=58°
Angles along a straight line add to 180. Therefore:
∠QPT+∠QPR=180
∠QPT+58=180
∠QPT=122°
Answer:
Step-by-step explanation:
6a = 4a - 6 =
2a = -6
a = -3
First stack has 8 blocks.
Second stack has 12 blocks.
Third stack has 8 blocks.
Fourth stack has 14 blocks
8+12+8+14=42
There’s a total of 42 wooden blocks used.