Answer:
Z = -1.65
Step-by-step explanation:
The main objective is to compute the data for the Z value and determine the of the sample distribution
Given that;
the tires' thickness is normally distributed with a mean μ = 0.45 in
standard deviation σ = 0.05 in
sample size = 65 tires
Also; we are being told that the thickness separates the lowest 5% of the means from the highest 95%
∴
P(Z < Z) =0.05
From the Z- table
P(Z < -1.645) = 0.05
Z = -1.65
Similarly;
Let consider to be the sample mean;
Then:
mean
standard deviation
= 0.00620174
By applying the Z-score formula:
x = μ + ( Z × σ )
Answer:
Area of sector = 21.75 units.
Step-by-step explanation:
Given, BAC is a sector of radius 8.
⇒ AB = 8; AC = 8.
Now, let a line from A passing through O meets the curve BC at P.
⇒AP = 8. (radius of sector).
Given, radius of inscribed circle is 2.
⇒AO = AP- OP = 8-2 = 6.
let the inscribed circle meets AB at Q. so, triangle AQO forms right angle triangle(since, AB is a tangent).
⇒ cos(∠AOQ) = 2/6 (adjacent / hypotenuse)
⇒ ∠AOQ = 70.53° ⇒ ∠OAQ = 180 - 90- 70.53 = 19.47°
⇒ total ∠A = 2× 19.47° = 38.94°.
⇒ area of sector = π×r²×, where r = 8
⇒ area of sector = 21.75 units.
Answer: B
Step-by-step explanation: The reason I pick this because the only color for the square object would be red and complementary angles say that it is an object that can make a 90 degree angle which a square can do 4 times.
A) S + D = 200
B) 85 S + 110 D = 18,250 we multiply A) by -85
A) -85 S -85 D = -17,000 then we add to B) and get
25 D = 1,150
Double Bed Rooms = 46
Single Bed Rooma = 154
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Double Check
46 * 110 = 5,060 154 * 85 = 13,090
Total = 18,150