Answer:
The percentage of the bag that should have popped 96 kernels or more is 2.1%.
Step-by-step explanation:
The random variable <em>X</em> can be defined as the number of popcorn kernels that popped out of a mini bag.
The mean is, <em>μ</em> = 72 and the standard deviation is, <em>σ</em> = 12.
Assume that the population of the number of popcorn kernels that popped out of a mini bag follows a Normal distribution.
Compute the probability that a bag popped 96 kernels or more as follows:
Apply continuity correction:
*Use a <em>z</em>-table.
The probability that a bag popped 96 kernels or more is 0.021.
The percentage is, 0.021 × 100 = 2.1%.
Thus, the percentage of the bag that should have popped 96 kernels or more is 2.1%.
Convert the exponential equation to a logarithmic equation using the logarithm base
(
7
)
7
of the right side
(
1
)
1
equals the exponent
(
0
)
0
.
log
7
(
1
)
=
0
The value of the 3 in 395,047 is 10 times greater than the
value of the 3 in 136,258.
What is the place value of a number?
In mathematics, place value refers to a digit's location within a number. A number has a slot for each digit. The placement of each digit will be enlarged when we represent the number in general form. These positions begin at the unit place, often known as the individual's position. Units, tens, hundreds, thousands, ten thousand, one hundred thousand, and so on are the place values of a number's digits from right to left.
Given, the number in consideration is 395,047.
The place value of 3 in the given number is hundred thousands.
A value 10 times smaller than this given number must have three in the ten thousands place.
Out of 386592, 283429, 136258, 123694; only 136258 has three in ten thousands place.
Therefore, the value of the 3 in 395,047 is 10 times greater than the
value of the 3 in 136,258.
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Step-by-step explanation:
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