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3 years ago

9

Find the factors for each of the following 40, 21

1 answer:

Nadya [2.5K]3 years ago

5 0

21:2,1,3

40:2,4,5,8,10,20

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Explain why y^2 = x (X input, y output) is not a function.

sveta [45]

y^2 = x isn't a function because there is at least one value of x that produces multiple values of y. In fact, any x value greater than 0 yields two y values. If x = 0, then y = 0 is the only solution. ... Graphically, the equation fails the vertical line test, which is another way to determine that it is not a function.

7 0

3 years ago

Read 2 more answers

The estimated daily living costs for an executive traveling to various major cities follow. The estimates include a single room

Alexandra [31]

Answer:

$\bar x = 260.1615$

$\sigma = 70.69$

The confidence interval of standard deviation is: $53.76$ to $103.25$

Step-by-step explanation:

Given

$n =20$

See attachment for the formatted data

Solving (a): The mean

This is calculated as:

$\bar x = \frac{\sum x}{n}$

So, we have:

$\bar x = \frac{242.87 +212.00 +260.93 +284.08 +194.19 +139.16 +260.76 +436.72 +355.36 +.....+250.61}{20}$

$\bar x = \frac{5203.23}{20}$

$\bar x = 260.1615$

$\bar x = 260.16$

Solving (b): The standard deviation

This is calculated as:

$\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}$

$\sigma = \sqrt{\frac{(242.87 - 260.1615)^2 +(212.00- 260.1615)^2+(260.93- 260.1615)^2+(284.08- 260.1615)^2+.....+(250.61- 260.1615)^2}{20 - 1}}$ $\sigma = \sqrt{\frac{94938.80}{19}}$

$\sigma = \sqrt{4996.78}$

$\sigma = 70.69$ --- approximated

Solving (c): 95% confidence interval of standard deviation

We have:

$c =0.95$

So:

$\alpha = 1 -c$

$\alpha = 1 -0.95$

$\alpha = 0.05$

Calculate the degree of freedom (df)

$df = n -1$

$df = 20 -1$

$df = 19$

Determine the critical value at row $df = 19$ and columns $\frac{\alpha}{2}$ and $1 -\frac{\alpha}{2}$

So, we have:

$X^2_{0.025} = 32.852$ ---- at $\frac{\alpha}{2}$

$X^2_{0.975} = 8.907$ --- at $1 -\frac{\alpha}{2}$

So, the confidence interval of the standard deviation is:

$\sigma * \sqrt{\frac{n - 1}{X^2_{\alpha/2} }$ to $\sigma * \sqrt{\frac{n - 1}{X^2_{1 -\alpha/2} }$

$70.69 * \sqrt{\frac{20 - 1}{32.852}$ to $70.69 * \sqrt{\frac{20 - 1}{8.907}$

$70.69 * \sqrt{\frac{19}{32.852}$ to $70.69 * \sqrt{\frac{19}{8.907}$

$53.76$ to $103.25$

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2 years ago

Please help me idk this

kupik [55]

Answer:

A. Twice the radius, d = 2r

Step-by-step explanation:

The diameter is a line that splits a circle in half, while the radius is only half of that.

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2 years ago

Answer this question to chick you knowledge

NemiM [27]

Answer:

8.5 Yards

Step-by-step explanation:

Pythagorean Theorem: $c = \sqrt{a^{2} +b^{2} }$

a = 6

b = 6

Therefore: $c = \sqrt{6^{2} +6^{2} }$ = 8.485

The path is 8.5 yards long

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3 years ago

Figure ABCD is a parallelogram. What is the value of x? A B O 6 ET O 7 8 5x + 3 38 09 D С

kondor19780726 [428]

Answer:

Given: It is given that and .

To Prove: ABCD is a parallelogram.

Statements

1. and

Reason: Given

2. are alternate interior angles

Reason: Def of alternate interior angles

3.

Reason: Alternate interior angles are congruent

4.

Reason: Reflexive property

5.

Reason: SAS congruency theorem

6.

Reason: Corresponding Parts of Congruent triangles are Congruent (CPCTC)

7. ABCD is a parallelogram

Reason: Parallelogram Side Theorem

Step-by-step explanation:

please mark me brainliest

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2 years ago