What are 4 consecutive odd integers where the product of the two smaller integers is 64 less than the product of the two larger
1 answer:
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<h2><u>Answer:</u></h2>
⟶ 2³ × 3² is the prime factorization for which one of these choices?
Let's check,
1) 6 = 3 × 2 [So, obviously not this choice]
2) 25 = 5 × 5 = 5² [Not this either]
3) 36 = 3 × 2 × 2 × 3 = 3² × 2² [Doesn't match with 2³ × 3²]
4) 72 = 2 × 2 × 2 × 3 × 3 = <u>2</u><u>³</u><u> </u><u>×</u><u> </u><u>3</u><u>²</u><u> </u>[Matches]
⟶ The answer is, choice <u>7</u><u>2</u><u>.</u>
The fourth or the D) Option is correct.
To find the new induced matrix via a scalar quantified multiplication we have to multiply the scalar quantity with each element surrounded and provided in a composed (In this case) 3×3 or three times three matrix comprising 3 columns and 3 rows for each element which is having a valued numerical in each and every position.
Multiply the scalar quantity with each element with respect to its row and column positioning that is,
Row × Column. So;
(1 × 1) × 7, (2 × 1) × 7, (3 × 1) × 7, (1 × 2) × 7, (2 × 2) × 7, (3 × 2) × 7, (1 × 3) × 7, (2 × 3) × 7 and (3 × 3) × 7. This will provide the final answer, that is, the D) Option.
To interpret and make it more interesting in LaTeX form. Here is the solution with LaTeX induced matrix.
Hope it helps.
To find the new induced matrix via a scalar quantified multiplication we have to multiply the scalar quantity with each element surrounded and provided in a composed (In this case) 3×3 or three times three matrix comprising 3 columns and 3 rows for each element which is having a valued numerical in each and every position.
Multiply the scalar quantity with each element with respect to its row and column positioning that is,
Row × Column. So;
(1 × 1) × 7, (2 × 1) × 7, (3 × 1) × 7, (1 × 2) × 7, (2 × 2) × 7, (3 × 2) × 7, (1 × 3) × 7, (2 × 3) × 7 and (3 × 3) × 7. This will provide the final answer, that is, the D) Option.
To interpret and make it more interesting in LaTeX form. Here is the solution with LaTeX induced matrix.
Hope it helps.
Answer:
a)
And we can use the following excel code to find the probability:
"=NORM.DIST(2,0,1,TRUE)-NORM.DIST(0,0,1,TRUE)"
b)
And we can use the following code and we got:
"=1-NORM.DIST(1.5,0,1,TRUE)"
c)
And we can use the following code and we got:
"=NORM.DIST(-1.75,0,1,TRUE)"
d)
And we can use the following excel code to find the probability:
"=NORM.DIST(1.66,0,1,TRUE)-NORM.DIST(-2.78,0,1,TRUE)"
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Part a
We want this probability:
And we can use the following excel code to find the probability:
"=NORM.DIST(2,0,1,TRUE)-NORM.DIST(0,0,1,TRUE)"
Part b
For this case we want this probability:
And we can use the complement rule and we have:
And we can use the following code and we got:
"=1-NORM.DIST(1.5,0,1,TRUE)"
Part c
We want this probability:
And we can use the following code and we got:
"=NORM.DIST(-1.75,0,1,TRUE)"
Part d
We want this probability:
And we can use the following excel code to find the probability:
"=NORM.DIST(1.66,0,1,TRUE)-NORM.DIST(-2.78,0,1,TRUE)"