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tresset_1 [31]
3 years ago
15

G how many distinct ordered arrangements of the letters of the word boogaboo can be made?

Mathematics
1 answer:
REY [17]3 years ago
3 0
In the word "boogaboo", there are eight (8) letters while there are only four distinct letters. The number of distinct ordered arrangements can be calculated through the equation,

            n = 8!/(2!)(4!)

where there are 2 letter b's and 4 letter o's. The answer to this item is 840.

Answer: 840
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An architect is designing a house in which a 104 square foot room and a 130 square foot room share a wall what is the greatest p
Alla [95]
Both rooms share a common side whose dimension is unknown. Call it x.

Then, the area of both squares have x as common factor.

So, x is the greatest common factor of 104 and 130.

You should know how to calculate the greatest common factor of two integers.

Just find the prime factors and choose the common factors raised to the lowest exponent.

104 = (2^3) (13)

130 = (2) (5)(13)

=> the greatest common factor is 2 * 13 = 26, and that is the greatest possible integer length of the shared wall.

Answer: 26



8 0
2 years ago
A particular fruit's weights are normally distributed, with a mean of 476 grams and a standard deviation of 36 grams. The heavie
4vir4ik [10]

Answer:

Step-by-step explanation:

Given that:

mean (μ) = 476 grams, standard deviation (σ) = 36 grams. P(z) = 19%

The z score shows by how many standard deviation the raw score is above or below the mean. It is given by the equation:

z=\frac{x-\mu}{\sigma}

Since the 19% weigh more, therefore 81% (100% - 19%) weigh less.

From the normal distribution table, the z score that corresponds to a probability of 81%(0.81) = 0.87

We substitute z = 0.88 in the z score equation to find the raw score. Therefore:

z=\frac{x-\mu}{\sigma}\\0.87=\frac{x-476}{36}\\ x-476=31.32\\x=31.32+476\\x=507.32\\

x ≅ 507 grams

Therefore 19% of fruits weigh more than 507 grams

7 0
2 years ago
Indicate the method you would use to prove the two 's . If no method applies, enter "none".
Andrei [34K]
Answer: ASA method must be applied to the given triangles to prove then congruent.


In two triangles, if two angles and their included side are congruent then the two triangles are said to be congruent .This method is known as Angle-Side -Angle postulate(ASA).
In the given triangles one side with their corresponding angles are equal. Therefore by ASA postulate they are congruent.
There we can see no other sides are given equal therefore all the other options cannot be applied.

you are lucky I had this test yesterday and I have the answer is ASA my math teacher said it was fine
6 0
3 years ago
What is the equation of the line?
Neporo4naja [7]
Y=4 because y is 4 all the time
3 0
2 years ago
WRITE THE expression in complete factored form 2y^2(p-4)-7(p-4)
Aleonysh [2.5K]
P - 4 is common to  the 2 parts so we have

(2y^2 - 7)(p - 4)  Answer
5 0
3 years ago
Read 2 more answers
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