7 Indira has 300 blue beads, 750 red beads and 900 silver beads. She threads these beads to
1 answer:
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Answer:
(A) 0.15625
(B) 0.1875
(C) Cannot be determined
Step-by-step explanation:
The time it takes for a student to finish a statistics quiz is uniformly distributed between 32 and 64 minutes.
Let's denote X as the duration needed for the student to complete the statistics quiz
Thus, X ~ U(32, 64)
The probability density function (PDF) for a uniform distribution is expressed as;
f(X) = , a < X < b where a = 32 and b = 64
The cumulative distribution function (CDF) is given by P(X <= x) =
(A) The probability of a student taking longer than 59 minutes to complete the quiz = P(X > 59)
P(X > 59) = 1 - P(X <= 59) = 1 - = 1 -
=
= 0.15625
(B) The probability that a student completes the quiz between 37 and 43 minutes = P(37 <= X <= 43) = P(X <= 43) - P(X < 37)
P(X <= 43) = =
= 0.34375
P(X < 37) = =
= 0.15625
P(37 <= X <= 43) = 0.34375 - 0.15625 = 0.1875
(C) The probability that a student takes exactly 44.74 minutes to complete the quiz
= P(X = 44.74)
This probability cannot be calculated as it is a continuous distribution, which doesn't provide probabilities for specific points.
The result of multiplying 10 by 6 hundreds equals 60 hundreds, which can also be expressed as 6 thousands.
Explanation
This can be simplified as follows:
- 10 times a given quantity of _____ hundreds results in 60 hundreds
- 60 hundreds convert to _____ thousands
We will divide this into two segments:
... Equation-1
... Equation-2
This straightforward multiplication relates to the place value system. We need to perform calculations to find the values of N and M.
Initially, let's focus on Equation-1.
We will move the variable M to one side of the equation in order to isolate it and solve for its value.
Both parts will be divided by 1,000, essentially being multiplied by .
Thus, we conclude with
Next, we process Equation-2 to derive M's value.
Rearranging this equation to place M on the left side appears as follows:
Again, both sides undergo division by 1,000, which translates to multiplication by .
This results in
- - - - - - -
Alternative approach for the second step:
60 hundreds equals to __ thousands
Additional resources
- A more detailed version of this topic
- 2 thousands 7 tens divided by 10 equals what?
- 100 is equivalent to 1/10 of which number?
Keywords: 10 times as many as, blank, hundreds, 60 hundreds, or, thousands, isolate, operations, multiply, divide, fraction, both sides, equal, the opposite, both sides are multiplied by, divided by, rearrange
