The surface area of this rectangular prism is 34 square centimeters. What is the volume is the width is 1 cm, the length is 2 cm
1 answer:
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Answer:
Proportion of all bearings falls in the acceptable range = 0.9973 or 99.73% .
Step-by-step explanation:
We are given that the diameters have a normal distribution with a mean of 1.3 centimeters (cm) and a standard deviation of 0.01 cm i.e.;
Mean, = 1.3 cm and Standard deviation,
= 0.01 cm
Also, since distribution is normal;
Z = ~ N(0,1)
Let X = range of diameters
So, P(1.27 < X < 1.33) = P(X < 1.33) - P(X <=1.27)
P(X < 1.33) = P( <
) = P(Z < 3) = 0.99865
P(X <= 1.27) = P( <
) = P(Z < -3) = 1 - P(Z < 3) = 1 - 0.99865
= 0.00135
P(1.27 < X < 1.33) = 0.99865 - 0.00135 = 0.9973 .
Therefore, proportion of all bearings that falls in this acceptable range is 99.73% .
Answer:
Option: B is the correct answer.
B) Decay, y- intercept = 3.4, rate is 34%
Step-by-step explanation:
We are given an exponential equation as follows:
We know that any exponential function of the type:
is growth function if: b>1
and is a decay function if 0< b< 1
Hence, here we have: b=0.66<1
Hence, the function is a decay function.
Also, we know that the y-intercept of a function is the point where x=0
Hence, we take x=0
we have:
Hence, the y-intercept is: 3.4
Also, the rate of a function is denoted by 'r'
where b=1-r
⇒ 0.66=1-r
⇒ r=1-0.66
⇒ r=0.34
Hence, the rate is: 34%
option: B is the correct answer.