For this Q:
mean=31
st.dev.=0.8
x=32
Calculate z-score:
z=(x-m)/s = (32-31)/0.8=1.25
This z-score value corresponding to the probability of 0.8944
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Answer:
-2
Step-by-step explanation:
Answer:
The dimensions are 5 and 10 inches
Step-by-step explanation:
The area is 50 square inches and the length is twice the width. 10 is the length, which is two times 5. 10 times 5 is 50.
The length is 10 and the width is 5.
y = 8 -2x
x + 2 (8 - 2x) = 1
x + 16 - 4x = 1
x - 4x = -15
-3x = -15
x = 5
If x = 5, then we can substitute in...
5 + 2y = 1
2y = -4
y = -2
Now let us check that by substituting those values in to the equation
2x + y = 8
2 (5) + (-2) = 8
That is correct so we have the right values for x and y/
Answer:
881.5 meters.
Step-by-step explanation:
The horizontal plane at the level of wai-kin's eyes divide the height of the cliff into two parts. Let the upper part be represented by x and the lower part be represented by y.
The height of the cliff = x + y
Applying the appropriate trigonometry functions.
To determine the value of x;
Tan θ = 
Tan
= 
⇒ x = 490 x Tan 
= 490 x 0.7265
= 355.985
x = 356 meters
To determine the value of y;
Tan θ = 
Tan
= 
⇒ y = 490 x Tan 
= 490 x 1.0724
= 525.476
y = 525.5 meters
Therefore,
The height of the cliff = x + y
= 355.985 + 525.476
= 881.461
The height of the cliff is 881.5 meters.