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den301095 [7]
3 years ago
15

Jean wrote two correct variable expressions to represent the phrase “the quotient of a number and 3.”

Mathematics
2 answers:
RUDIKE [14]3 years ago
8 0

Answer:

C) n÷3

D) \frac{n}{3}

Step-by-step explanation:

The given verbal expression is " the quotient of a number and 3."

We have convert this verbal expression to algebraic expression.

Here "Quotient" means "Division"

Let "n" be a number and it is divided by 3.

So, we can write "the quotient of n and 3" as n÷3 and \frac{n}{3}

Therefore, answers are

C) n÷3

D) \frac{n}{3}

Pie3 years ago
3 0
The two variable expressions that describe the quotient (division) would be n/3 or n(division symbol)3
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What is the value of Negative 5 Superscript 6? –15,625 –30 30 15,625
babymother [125]

Answer:

15625

Step-by-step explanation:

Lets use the information to present the question into mathematical form:

(-5)^{6}

so this means -5 is multiplying itself 6 times so this means

value of negative 5 superscript 6 means

(-5)^{6} = -5 x -5 x -5 x -5 x -5 x -5

so the answer is 15625

7 0
2 years ago
Read 2 more answers
According to a study done by a university​ student, the probability a randomly selected individual will not cover his or her mou
VikaD [51]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

 P(X = 8) =  0.0037

b

 P(X <  5) =  0.805

c

 P(X > 6) =  0.0206

I would be surprised because the value is very small , less the 0.05

Step-by-step explanation:

From the question we are told that

The probability a randomly selected individual will not cover his or her mouth when sneezing is p = 0.267

Generally data collected from this study follows  binomial  distribution because the number of trials is  finite , there are only two outcomes, (covering  , and  not covering mouth when sneezing ) , the trial are independent

Hence for a randomly selected variable  X we have that  

   X \ \ \~ \ \ { B ( p , n )}

The probability distribution function for binomial  distribution is  

    P(X = x ) =  ^nC_x *  p^x *  (1 -p) ^{n-x}

Considering question a

Generally the  the probability that among 12 randomly observed individuals exactly 8 do not cover their mouth when​ sneezing is mathematically represented as

     P(X = 8) =  ^{12} C_8 *  (0.267)^8 *  (1- 0.267)^{12-8}

Here C denotes  combination

So

     P(X = 8) =  495  *  0.000025828 * 0.28867947

    P(X = 8) =  0.0037

Considering question b

Generally the probability that among 12 randomly observed individuals fewer than 5 do not cover their mouth when​ sneezing is mathematically represented as

     P(X <  5 ) =[P(X = 0 ) + \cdots + P(X = 4)]

=>   P(X <  5 ) =[ ^{12} C_0 *  (0.267)^0 *  (1- 0.267)^{12-0} + \cdots +  ^{12} C_4 *  (0.267)^4 *  (1- 0.267)^{12-4} ]

=> P(X <  5 )  =  0.02406 +  0.10516 + 0.21067 + 0.25580 + 0.20964

=>  P(X <  5) =  0.805

Considering question c

Generally the probability that fewer than half(6) covered their mouth when​ sneezing(i.e the probability the greater than half do not cover their mouth when sneezing) is mathematically represented as

      P(X > 6) =  1 - p(X \le  6)

=>    P(X > 6) = 1 - [P(X = 0) + \cdots + P(X =6)]

=>    P(X > 6)=1 - [^{12} C_0 *  (0.267)^0 *  (1- 0.267)^{12-0}+ \cdots + ^{12} C_4 *  (0.267)^6 *  (1- 0.267)^{12-6} ]

=>    P(X > 6)= 1 - [0.02406 + \cdots + 0.0519 ]  

=>    P(X > 6) =  0.0206

I would be surprised because the value is very small , less the 0.05

8 0
3 years ago
Please help me with this question
Wittaler [7]

Answer:

x = 8

Step-by-step explanation:

Since < A and < B are vertical angles, then it means that they have the same measure.

Given that m < A = (3x - 21)°, and m < B = (2x - 13)°:

We can set up the following equation to solve for the value of x:

m < A  = m < B

(3x - 21)° = (2x - 13)°

3x - 21 = 2x - 13

Subtract 2x from both sides:

3x - 2x - 21 = 2x - 2x - 13

x - 21 = -13

Add 21 to both sides to isolate and solve for the value of x:

x - 21 + 21 = -13 + 21

x = 8

We must verify if we have the correct value for x by plugging in 8 into the equality statement:

(3x - 21)° = (2x - 13)°

[3(8) - 21]° = [2(8) - 13]°

(24 - 21)° = (16 - 13)°

3° = 3° (True statement. This means that we have the correct value for x).

Therefore, the value of x = 8.

Please mark my answers as the Brainliest, if you find this solution helpful :)

7 0
2 years ago
Which term describes the point where the perpendicular bisectors of the three sides of a triangle intersect
MissTica

Given statement is "point where the perpendicular bisectors of the three sides of a triangle intersect".

Perpendicular is basically a vertical line that makes 90 degree angle with the base.

bisector means the line which divides side into two equal parts.

So perpendicular bisector in any triangle will be the line which is drawn on the side of the triangle and perpendicular to that side.

Now these perpendicular bisectors meet at some point.

That point is called circumcenter.


Hence final answer will be "circumcenter".


6 0
3 years ago
Read 2 more answers
A scale model of a boat is 6 inches long. The actual boat is 42 feet long. Which statement(s) are true??
Vitek1552 [10]

Answer:

B. 1 in = 7 ft

Step-by-step explanation:

Since on the scale the boat was 6 inches and the actual boat was 42 feet, we need to divide to see how many feet correlate to the number on inches on the scale. So we do 42 / 6, which equals 7. This means that for every inch on the scale, it will be 7 feet in real life.

3 0
2 years ago
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