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Readme [11.4K]
3 years ago
6

The length of a rectangle is 3 yards less than twice the width and the area of the rectangle is 27 yards to the second power. fi

nd the dimensions of the rectangle.
length:
width:
Mathematics
1 answer:
Leona [35]3 years ago
8 0
The answers are 15 and 12
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5/7^3=5(7^x)<br> Find X.<br> Thanks.
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Hello,

\dfrac{5}{7^3}=5*7^x\\&#10;5*7^{-3}=5*7^x\\&#10;&#10;\boxed{x=-3}&#10;
8 0
3 years ago
How do you do 5/7 / 11/3
ra1l [238]

Answer: it would always equal 15/77.

Step-by-step explanation: Use fractions (Numerator & denominator) graph to help you with it.

3 0
3 years ago
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Which is one one way to check 102 ÷ 6 = <br>17
sleet_krkn [62]

One way to check if 102 ÷ 6 = 17 is by focusing on the left side of the equation.


102 ÷ 6 can be converted into \frac{102}{6}


\frac{102}{6} can be simplified, lets start by dividing the numerator and denominator by 2.

\frac{102/2}{6/2} = \frac{51}{3}

\frac{51/3}{3/3} = \frac{17}{1}

\frac{17}{1} can be rewritten as 17.

5 0
4 years ago
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Find the mean, median, and mode of each set of values.
Mademuasel [1]
Put the values in order of least to greatest, and then eliminate numbers from each end until you’re left with one.
79, 82, 87, 91, 93, 97, 97, 98, 99, 101, 102
Median - Middle number, 97
Mode - Number that appears most often, 97
Mean - Add all numbers and then divide the total by the number of values in the data set, 93.3
8 0
4 years ago
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A school newspaper reporter decides to randomly survey 17 students to see if they will attend Tet (Vietnamese New Year) festivit
Leni [432]

There is a typing mistake in part (d) of the question. Original question states that total student are 17. In part (d) it asks out of 12 which I think is a mistake as total is 17. Therefore, I am finding the answers with total students as 17. In case if the total is 12 then by just replacing 17 with 12 we can find the answer.

 

Answer:

All the answers and explanations are given below.

Step-by-step explanation:

(a)

The random variable X will be defined as the number of students who will attend the Tet (Vietnamese New Year) festivities this year.

(b)

As X is the number of students so it can take any value from 0 to 17. This means that when X = 0, 0 student will attend the Tet (Vietnamese New Year) festivities this year. Similarly if X = 17, all 17 students will attend the Tet (Vietnamese New Year) festivities this year. It can only take whole number values because its the  number of students.

(c)

X follows Binomial distribution with probability of success = 23% (success defined as attending the festivities).

n = 17 (total number of students)

p = 23% = 0.23 (probability of success)

X ~ Binomial (17, 0.23)

(d)

The number can be found out by  n*p

n = 17

p = 0.23

np =  3.91

(e)

Using binomial cdf function in the calculator or any Binomial Probability Calculator  online we can find

P(X ≤ 4) = 0.65

<em>This means at most the value can be 4. So the we need to find probability of less than or equal to 4.</em>

(f)

To find probability of more than 2 students  we first find probability of less than and equal to 2 students and then subtract it from the total probability which is 1.

P(X ≤ 2) = 0.214

P(X>2) = 1 - 0.214

P(X>2) =  0.786

8 0
3 years ago
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