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2 years ago

Factor the expression 100n squared - 1

Mathematics

1 answer:

frez [133]2 years ago

4 0

Factor using the difference of squares.

a^2-b^2 = (a+b)(a-b)

100n^2-1
(10n+1)(10n-1)

Final answer: (10n+1)(10n-1)

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Past experience has indicated that the breaking strength of yarn used in manufacturing drapery material is normally distributed

vlabodo [156]

Answer:

95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm)

Step-by-step explanation:

Our sample size is 11.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

$df = 11-1 = 10$ .

Then, we need to subtract one by the confidence level $\alpha$ and divide by 2. So:

$\frac{1-0.95}{2} = \frac{0.05}{2} = 0.025$

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 10 and 0.025 in the two-sided t-distribution table, we have $T = 1.812$

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

$s = \frac{4}{\sqrt{11}} = 1.2060$

Now, we multiply T and s

$M = Ts = 1.812*1.2060 = 2.19/tex]For the lower end of the interval, we subtract the sample mean by M. So the lower end of the interval here is[tex]L = 97 - 2.19 = 94.81 = 94.8$ cm

For the upper end of the interval, we add the sample mean and M. So the upper end of the interval here is

$L = 97 + 2.19 = 99.19 = 99.2$ cm

95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm).

7 0

2 years ago

Need a lil help please

Georgia [21]

Answer:

B(2, 4)

Step-by-step explanation:

Given points:

A(-1, -9) and M(0.5, -2.5)

Let the coordinates of B are (x, y)

Use midpoint formula to determine the point B:

0.5 = (- 1 + x)/2 ⇒ 1 = -1 + x ⇒ x = 1 + 1 = 2
-2.5 = (-9 + y)/2 ⇒ -5 = -9 + y ⇒ y = -5 + 9 = 4

3 0

2 years ago

What is the answer to his question

horsena [70]

Answer:

A. 720 per hour

Step-by-step explanation:

1200+ 720 + 720 + 360 =3000

hr 1↑+ hr 2↑ + ↑30 min

8 0

3 years ago

One out of 23 high school ball players plays college ball. One out of 35 college players plays professional ball. What fraction

Gnoma [55]

Answer:

$\frac{35}{23}$ is the required fraction.

Step-by-step explanation:

We have been given that 23 high school ball players plays college ball.

And 35 college players plays professional ball

So we need to find fraction of high school players professional ball

$\frac{35}{23}$ is the required fraction.

6 0

2 years ago

Helppppppppppp please and expalin if you can

Alja [10]

Ugh, more algebra pretending to be geometry. Why?

This is a pretty awful instance of the genre, with no units on the constant 16, assumed to be degrees.

The total arc measure in a circle is 360 degrees. Geometry part over.

3m + 16 + 2m + 3m = 360

8m = 344

m = 344/8 = 43

Arc measures:

Arc 3m+16 = 3(43)+16 = 145°. The angle subtended by that arc is half that, 145/2=72.5°

Arc 2m=2(43)=86°. The angle subtended is half that, 43°

Arc 3m=3(43)=129°. The angle subtended is half that, 64.5°

3 0

3 years ago