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mixer [17]
3 years ago
9

Is 2 7/9 (mixed fraction) a

Mathematics
1 answer:
Tresset [83]3 years ago
7 0

2 7/9 is A. real number

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Solve the equation: 13W - 2(4W + 1) = W - 58 *
Sergio [31]

Answer:

W = - 14

Step-by-step explanation:

13W - 2(4W + 1) = W - 58

13W - 8W - 2 = W - 58

13W - 8W - W = 2 - 58

4W = - 56

W = - 56 : 4

W = - 14

6 0
3 years ago
Read 2 more answers
You are in talks to settle a potential lawsuit. The defendant has offered to make annual payments of $15,000, $25,000, $40,000,
Sphinxa [80]

Answer:

All payments will be made at the end of the year by using the present value of inflows

Step-by-step explanation:

Present Value Of Inflows = Cash Inflow × Present Value Of Discounting Factor (Rate%,Time Period)

Present Value Of Inflows = 15000/1.037 + 25000/1.037^{2} + 40000/1.037^{3} + 60000/1.037^{4}

Present Value Of Inflows = 125466.3

8 0
3 years ago
Suppose that from the past experience a professor knows that the test score of a student taking his final examination is a rando
DENIUS [597]

Answer:

n=13.167^2 =173.369 and if we round up to the nearest integer we got n =174

Step-by-step explanation:

Previous concepts

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Let X the random variable who represents the test score of a student taking his final examination. We know from the problem that the distribution for the random variable X is given by:

X\sim N(\mu =73,\sigma =10.5)

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

Solution to the problem

We want to find the value of n that satisfy this condition:

P(71.5 < \bar X

And we can use the z score formula given by:

z=\frac{\bar X- \mu}{\frac{\sigma}{\sqrt{n}}}

And we have this:

P(\frac{71.5-73}{\frac{10.5}{\sqrt{n}}} < Z

And we can express this like this:

P(-0.14286 \sqrt{n} < Z< 0.14286 \sqrt{n} )=0.94

And by properties of the normal distribution we can express this like this:

P(-0.14286 \sqrt{n} < Z< 0.14286 \sqrt{n} )=1-2P(Z

If we solve for P(Z we got:

P(Z

Now we can find a quantile on the normal standard distribution that accumulates 0.03 of the area on the left tail and this value is: z=-1.881

And using this we have this equality:

-1.881 = -0.14286 \sqrt{n}

If we solve for \sqrt{n} we got:

\sqrt{n} = \frac{-1.881}{-0.14286}=13.167

And then n=13.167^2 =173.369 and if we round up to the nearest integer we got n =174

6 0
3 years ago
A triangle has sides of lengths 6 cm, 10 cm and 11 cm. An equilateral triangle has the same perimeter. What is the length of the
ryzh [129]

Answer: 9 centimeters

Step-by-step explanation:

Add up all the sides, 6 + 10 + 11 = 27,

Since it’s the perimeter of an equilateral triangle, you do

27 / 3 = 9, which is the answer.

8 0
3 years ago
Read 2 more answers
Simplify 3x^2y^4 x 2x^6y
Feliz [49]

Answer:

6x^8y^5

Step-by-step explanation:

(3)(2)= 6

add the exponents for the variables

8 0
3 years ago
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