Answer:
The expected number of graphing calculators that malfunctions within 3 months and need to be replaced is 915,000.
Step-by-step explanation:
Let <em>X</em> represents the number of graphing calculator that starts malfunctioning within 36 months of the purchase and needs to be replaced by a new one.
It is provided that <em>X</em> follows a normal distribution with a mean of 54 months and a standard deviation of 8 months.
Also, using the normal model it was determined that 1.22% of graphing calculator manufactured by Texas Instruments malfunctions and needs replacement.
That is,
P (<em>X</em>) = 0.0122
Texas Instruments has sold 75 million graphing calculators world- wide.
Compute the expected number of graphing calculators that malfunctions within 3 months and need to be replaced as follows:
E (<em>X</em>) = n × P (<em>X</em>)
= 75 × 10⁶ × 0.0122
= 915000
Thus, the expected number of graphing calculators that malfunctions within 3 months and need to be replaced is 915,000.
Answer:
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Step-by-step explanation:
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The figure is separated into triangles.
The triangle has a base of 8 inches and a hypotenuse of 10 inches.
Using the Pythagorean theorem solve for the height of the triangle:
10^2 = 8^2 + x^2
100 = 64 + x^2
x^2 = 100-64
x^2 = 36
x = √36
x = 6
The height of the triangle is the width of the rectangle and the length of the rectangle is 2 triangle bases ( 8 * 2 = 16)
Area of a rectangle is L x W = 6 x 16 = 96 square inches.
Answer:
surface area=2816 m² & volume =205.33m³
Step-by-step explanation:
here
diameter of base (d) -28 m
radius(r) = d/2=14 m
vertical height of cone (h)-48 m
slant height of cone (l)-50 m
surface area (TSA)-?
volume (v)-?
we know
TSA=(pie*r*l)+pie*r*r
=pie*r(l+r)
=22/7* 14(50+14)
=22*2(64)
=22*128
=2816 m²
again
v=1/3 pie*r*r
=1/3*22/7*14*14
=1/3*22*2*14
=205.33 m³
