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2 years ago

What is the simplest way to explain how to do this?

Mathematics

2 answers:

Svetlanka [38]2 years ago

8 0

Answer:

Step-by-step explanation:

area of a triangle = h x b/2 which means ill do

8 x 8 = 64

then 64/2

8x8 (again) = 64

64+32 = 96

irina1246 [14]2 years ago

3 0

Answer:

96 in^2. Find the area of the square, then the area of the triangle. After that, add them together.

Step-by-step explanation:

First, let's find the area of the square:
A = lw
A = 8 x 8
A = 64

Now, let's find the area of the triangle.
A = 1/2lh
A = 1/2(8)(8)
A = 1/2(64)
A = 32

Now, all we have to do is add 64 and 32 to get the total area

64 + 32 = 96

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Suppose we are interested in analyzing the weights of NFL players. We know that on average, NFL players weigh 247 pounds with a

Diano4ka-milaya [45]

Answer:

a) The standard error would be of 8.58 pounds.

b) The margin of error is 14.11 pounds.

c) The 90% confidence interval for the population mean is between 232.89 pounds and 261.11 pounds

Step-by-step explanation:

a.What is the standard error?

The standard error is

$s = \frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample. So

$s = \frac{47}{\sqrt{30}} = 8.58$

The standard error would be of 8.58 pounds.

b.What is the margin of error at 90% confidence?

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.9}{2} = 0.05$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.05 = 0.95$ , so $z = 1.645$

Now, find the margin of error M as such

$M = z*s = 1.645*8.58 = 14.11$

The margin of error is 14.11 pounds.

c. Using my sample of 30, what would be the 90% confidence interval for the population mean?

Lower bound: Sample mean subtracted by the margin of error.

247 - 14.11 = 232.89 pounds

Upper bound

247 + 14.11 = 261.11 pounds

The 90% confidence interval for the population mean is between 232.89 pounds and 261.11 pounds

4 0

3 years ago

Factor completely 2x^3 + 6x^2 + 10x + 30

andrezito [222]

Answer:

The factored expression is 2(x² + 5)(x + 3).

Step-by-step explanation:

Hey there!

We can use a factoring technique referred to as "grouping" to solve this problem.

Grouping is used for polynomials with four terms as a quick and easy factoring method to remove the GCF and get down to the initial terms that create the expression/function.

Grouping works in the following matter:

Given equation: ax³ + bx² + cx + d
Group a & b, c & d: (ax³ + bx²) + (cx + d)
Pull GCFs and factors

Let's apply these steps to the given equation.

Given equation: 2x³ + 6x² + 10x + 30
Group a & b, c & d: (2x³ + 6x²) + (10x + 30)
Pull GCFs and factors: 2x²(x + 3) + 10(x + 3)

As you'll see, we have a common term with both sides of the expression. This term, (x + 3), is a valuable asset to the factoring process. This is one of the factors for our expression.

Now, we use our GCFs to create another factor.

List GCFs: 2x², 10
Create a term: (2x² + 10)

Finally, we'll need to simplify this one by taking another GCF, 2.

Pull GCF: 2(x² + 5)

Now that we have this term, we need to understand that this <em>could</em> also be factored further using imaginary numbers, but it is also acceptable to leave it in this form.

Therefore, we have our final factors: 2(x² + 5) and (x + 3).

However, when we factor, we place all of our terms together. This leaves us with the final answer: 2(x² + 5)(x + 3).

7 0

3 years ago

SOMEONE PLEASE HELP ILL GIVE BRAINIEST

Gala2k [10]

The answer for this is, D

3 0

3 years ago

Give your answer as a mixed number. 2 6/7 ÷ 2/3 =?

AfilCa [17]

2 6/7 ÷ 2/3

= 20/7 ÷ 2/3

20/7 × 3/2

= 60/14

reduce to it's lowest term

30/7 = 4 2/7

8 0

3 years ago

If the circumference of a circle is doubled, how does the diameter of the circle change?

jeyben [28]

diameter will be doubled

6 0

3 years ago