Answer:
The fraction of the book that Rena read every day is 
Step-by-step explanation:
Rena spent 6 days reading her book completing the same fraction of the book every day and you want to know the fraction of the book she read each day. Knowing that Rena had a total of 8/9 of her book read after 6 days, then you simply divide the total amount of the book read during those days by 6, the number of days:
÷6
To divide a fraction by a whole number, you must convert the whole number into a fraction, finding the reciprocal of that fraction, and multiply it by the first fraction. That is, you must find the reciprocal of the number that is after the division symbol; and then you multiply the first number (the one before the division symbol) by the reciprocal of the second number (the one after the division symbol). Remember that to find the reciprocal of a number, you simply have to change the numerator and denominator of the number.
Since 6 can be considered to be a fraction equal to
, by inverting the number, then you get 
Then:
÷6= 
Now you multiply the numerators and denominators of the fraction to get the new numerator and denominator of the final solution.
÷6= 
Finally, simplifying the fraction:
÷6= 
So:
÷6= 
<u><em>The fraction of the book that Rena read every day is </em></u>
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Answer:
the probability of no defects in 10 feet of steel = 0.1353
Step-by-step explanation:
GIven that:
A roll of steel is manufactured on a processing line. The anticipated number of defects in a 10-foot segment of this roll is two.
Let consider β to be the average value for defecting
So;
β = 2
Assuming Y to be the random variable which signifies the anticipated number of defects in a 10-foot segment of this roll.
Thus, y follows a poisson distribution as number of defect is infinite with the average value of β = 2
i.e

the probability mass function can be represented as follows:

where;
y = 0,1,2,3 ...
Hence, the probability of no defects in 10 feet of steel
y = 0


P(y =0) = 0.1353
Answer:
87.92 inches cubed or 87.92 in.^3
Step-by-step explanation:
The base of a cylinder is a circle, so we need to calculate the area of the circle first. The equation for the area of a circle is:
area (a) = pi * r^2 =3.14*2*2 =12.56sq.inches
again,
volume of cylinder = area of the base * the height
= 12.56 * 7
= 87.92 inches cubed or 87.92 in.^3
Answer:
Step-by-step explanation:
Z score is the number of standard devations above the mean.
For example if z=1, the data value is 1 st. dev. above the mean.
So, z=1.95, so the player's heigh is 1.95 st. dev. above the mean.
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