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3 years ago

The sum of 86, 68, and 38 is 192. What else do you know about the sum of 68, 38, and 86?

1 answer:

8 0

<span>We have 2 given numbers:
=> 86 + 68 + 38 = 192
=> 68 + 38 + 86 = 192 also
This kind of process used commutative property system of equation in where:
a + b = b + a
No matter what sequence you are going to use, the answer would always be the same.
In the given 2 equations, notice that both digits of 2 group of equation contains the same number. The only difference is they were added with different orders. Yet the answers are still the same.

</span>

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Find the volume and tell me if cavalieri's principle applies to the 2 figures. Show work

Bess [88]

The answer is 8*6*20=960

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4 years ago

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A number is chosen at random from 1 to 10. Find the probability of not selecting

PilotLPTM [1.2K]

Answer:

0.3

Step-by-step explanation:

Number of ways of selecting r elements from a set of n different elements is given by

C(n,r)=(n r)=n!/(r!(n−r)!)

No of ways of selecting one number out of ten numbers from one to 10 is 10

It can also be calculated using

C(n,r)=(n r)=n!/(r!(n−r)!)

where n = 10 and r = 1

C(10,1)=(10 1)=10!(1!(10−1)!) = 10*9!/ 1!*9! = 10

multiples of 2 in range 1 to 10 are 2, 4, 6, 8 , 10

multiples of 3 in range 1 to 10 are 3, 6, 9

Therefore number which are multiple of 2 and 3 are

2, 3,4,6,8,9,10 ( 7 numbers)

therefore no of ways of selecting multiple of 2 and 3 is 7 ways

number which are not multiple of 2 and 3 in range 1 to 10

1,5,7 (3 numbers)

no of ways of not selecting multiple of 2 and 3 is 3 ways

It can also be calculated using

C(3,1)=(3 1)=3!/(1!(3−1)!)

where n = 3 and r = 1

C(3,1)=(3 1)=3!/(1!(3−1)!) = 3!/(1!(2)!)= 3*2!/ 1!*2! = 2

Therefore no of ways of not selecting multiple of 2 and 3 is 3 ways

probability of not selecting a multiple of 2 or a multiple of 3 = no of ways of not selecting multiple of 2 and 3 /No of ways of selecting one number out of one to 10 = 3/10 = 0.3

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3 years ago

HELP ME PLZZzzzzzzzz

KengaRu [80]

Answer:

5 cm

Step-by-step explanation:

The volume (V) of milk in the container is calculated as

V = 8 × 15 × 12 = 480 cm³

After change of position with depth d then

8 × 15 × d = 480

120d = 480 ( divide both sides by 120 )

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4 years ago

Jorge is comparing two data sets. He uses the mean and mean absolute deviation to compare the center and variability of the data

Vlada [557]

Answer:

D. symmetrical without outliers

Step-by-step explanation:

It has to with the fact it's about BOTH.

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3 years ago

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Nuts.com sells raw almonds for $10 per pound and roasted pistachios for $12 per pound. Christopher spends $70, before taxes and

sp2606 [1]

Christopher purchased 2.8 pounds of almonds and 3.5 pounds to roasted pistachios.

Step-by-step explanation:

Cost of almonds per pound = $10

Cost of roasted pistachios = $12

Total amount spent = $70

Weight of nuts = 6.3

Let,

Weight of almonds = x

Weight of roasted pistachios = y

According to given statement;

x+y=6.3 Eqn 1

10x+12y=70 Eqn 2

Multiplying Eqn 1 by 10

$10(x+y=6.3)\\10+10y=63\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2;

$(10x+12y)-(10x+10y)=70-63\\10x+12y-10x-10y=7\\2y=7$

Dividing both sides by 2

$\frac{2y}{2}=\frac{7}{2}\\y=3.5$

Putting y=3.5 in Eqn 1

$x+3.5=6.3\\x=6.3-3.5\\x=2.8$

Christopher purchased 2.8 pounds of almonds and 3.5 pounds to roasted pistachios.

Keywords: linear equations, elimination method

Learn more about elimination method at:

#LearnwithBrainly

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3 years ago