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2 years ago

Square one factor from column A and add it to one factor from column B to develop your own identity. (image attached) 60 points

Mathematics

1 answer:

Tamiku [17]2 years ago

6 0

Answer:

x^4+64 = x^2 -4x+8 * x^2 +4x+8

Step-by-step explanation:

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You have 200 meters of fencing. What triangle will result in the maximum fence-able area? What is that area?

ikadub [295]

Answer:

It will be an equilateral triangle and the area is 1924.5 sq. meters.

Step-by-step explanation:

If the total length of the fencing of 200 meters is utilized then the perimeter of the triangle will be 200 meters.

Now, we know that the type of triangle that gives the maximum area for a given perimeter is an equilateral triangle.

So, the equilateral triangle with a perimeter of 200 meters will have side lengths of $\frac{200}{3}$ meters.

Now, the area of an equilateral triangle with sides a units is given by $\frac{\sqrt{3}}{4} a^{2}$ sq. units.

So, the area of the above equilateral triangle will be = $\frac{\sqrt{3}}{4}\times (\frac{200}{3})^{2} = 1924.5$ sq. meters. (Answer)

7 0

2 years ago

Which 2 grids have 25% shaded?

dimaraw [331]

Answer:

B and C have 25% shaded

Step-by-step explanation:

convert the shaded part in percentage of each shape, the answer is B and C

5 0

2 years ago

What is 0.285714 as a fraction not simplified

MrRa [10]

Answer:

2/7

Step-by-step explanation:

I am assuming that you mean 285714 repeating.

You just have to memorize or learn to recognize the order of decimal digits for fractions over 7, unless you want to do it algebraically.

1/7=0.142857 repeated

2/7=0.285714 repeated and so on

8 0

2 years ago

The quotient of a number and 3, increased by 4 is 5, what is the expression

Semmy [17]

Answer: The answer would be 3 +n +4 = 5

Step-by-step explanation:

Welcome

3 0

1 year ago

Read 2 more answers

A sample size must be determined for estimating a population mean given that the confidence level is % and the desired margin o

Sauron [17]

Complete Question

The complete question is shown on the first uploaded image

Answer:

$n =290$

$n =129$

The correct option is D

Step-by-step explanation:

From the question we are told that

The margin of error is $E = 0.23$

The largest value is k = 15

The smallest value is u = 7

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally population standard deviation estimate is mathematically represented as

$\sigma = \frac{Range }{4}$

Here the Range is mathematically represented as

$Range = k - u$

=> $Range = 15 - 7$

=> $Range = 8$

=> $\sigma = \frac{8 }{4}$

=> $\sigma = 2$

Generally the sample size is mathematically represented as

$n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2$

=> $n = [1.96 * 2 }{0.23} ] ^2$

=> $n =290$

Generally to obtain a conservatively small sample size the population standard deviation estimate becomes

=> $\sigma = \frac{Range }{6}$

=> $\sigma = \frac{8 }{6}$

=> $\sigma =1.333$

Generally the conservatively small sample size is mathematically evaluated as

$n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2$

=> $n = [1.96 * 1.333 }{0.23} ] ^2$

=> $n =129$

6 0

2 years ago