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spin [16.1K]
2 years ago
8

Select all the factors that can be divided out to simplify the multiplication problem: 8/15x5/16

Mathematics
1 answer:
rjkz [21]2 years ago
8 0

Answer:

Synthetic division work with the coefficient of the given polynomial expression

We have  

-15    -16   84   -17   -9   -15

and the divisor is:

x - ⁸/₅ = 0

x = ⁸/₅

Refer to the diagram below for the steps of synthetic division

Start by multiplying the first coefficient by the divisor, write the answer under the second coefficient, and then add the two values.

Repeat the steps until we use up all the remaining coefficients

The final values are the coefficients of the quotient and the last value is the reminder

Step-by-step explanation:

Hope this helps:)

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A math teacher was frustrated at the number of students leaving their graphing calculator behind in her classroom at the end of
AleksAgata [21]

Answer:

The 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators is (0.4652, 0.8148).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

A random sample of 50 students is selected, and of the students questioned, 32 had their names written on their graphing calculators.

This means that n = 50, \pi = \frac{32}{50} = 0.64

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.64 - 2.575\sqrt{\frac{0.64*0.36}{50}} = 0.4652

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.64 + 2.575\sqrt{\frac{0.64*0.36}{50}} = 0.8148

The 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators is (0.4652, 0.8148).

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3 years ago
A rectangular tank has a base that is 10 centimeters by 5 centimeters and a height of 20 centimeters. If the tank is half full o
Serga [27]

the answer will be 6.5 cm the water will rise

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The quotient of a triple number & four
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tripple number 4Step-by-step explanation:

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Using known properties, determine if the statements are true or not. Select True or False for each statement. If one pair of con
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Answer:

  • The diagonals of a parallelogram bisect each other.

Step-by-step explanation:

If one pair of consecutive sides of a parallelogram is congruent, then the parallelogram is a rectangle.

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The diagonals of a parallelogram bisect each other.

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If a quadrilateral has four right angles, then it is a square.

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3 years ago
Which of the following angles is coterminal with - 2pi/3
Over [174]

Answer:

\frac{2\pi }{3} +x=2\pi

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