Pls help - taking quiz greater than, less than, or equal to

Throughout Lewis Carroll's book, Alice's Adventures in Wonderland, Alice's size changes. Her normal height is about 50 inches ta

alexandr402 [8]

Answer:

The answer is 75 inches.

Step-by-step explanation:

If Alice is 10 inches, she is 2/3 as tall as the door. At her regular height, to be 2/3 as tall as the door the door would have to be 75 inches high.

6 0

3 years ago

The bad debt ratio for a financial institution is defined to the dollar value of loans defaulted divided by the total dollar val

vlabodo [156]

Answer:

Step-by-step explanation:

From the information given:

Consider X to be the random variable denoting the bad debt ratios for Ohio Bank.

Then, $X \sim N ( \mu, \sigma ^2)$

Thus the null hypothesis and the alternative can be computed as:

Null hypothesis:

$H_o : \mu \leq3.5\%$

Alternative hypothesis

$H_1 : \mu > 3.5\%$

The type I and type II error is as follows:

Type I:

The mean bad debt ratio is > 3.5% when it is not

Type II:

The mean bad debt ratio is ≤ 3.5% when it is not.

The test statistics can be calculated by using the formula:

$t = \dfrac{\overline x - \mu}{\dfrac{\sigma}{\sqrt{n}}}$

where;

sample size n = 7

mean = 6+8+5+9+7+5+8 = 48

sample mean $\overline x =\dfrac{48}{7}$

$\overline x$ = 6.86

sample standard deviation is :

$s = \sqrt{\dfrac{\sum( x -\overline x)^2}{n-1}}$

$s = \sqrt{\dfrac{( 6 -6.86)^2+( 8-6.86)^2+ ( 5 -6.86)^2 + ...+( 7 -6.86)^2+ ( 5 -6.86)^2+( 8 -6.86)^2 }{7-1}}$

s = 1.573

population mean $\mu = 3.5$

Therefore, the test statistics is :

$t = \dfrac{\overline x - \mu}{\dfrac{\sigma}{\sqrt{n}}}$

$t = \dfrac{6.86- 3.5}{\dfrac{1.573}{\sqrt{7}}}$

$t = \dfrac{3.36}{\dfrac{1.573}{2.65}}$

$t = \dfrac{3.36\times {2.65}}{{1.573}}$

t = 5.660

At significance level of 0.01

$t_{0.01} = 3.707$

P - value = P(T > 5.66)

P - value = 1 - (T < 5.66)

P - value = 1 - 0.9993

P-value = 0.0007

Therefore, since $t_{0.01} < t$ , we reject the null hypothesis and conclude that the claim that the mean bad debt ratio for Ohio banks is higher than the mean for all financial institutions is true.

4 0

4 years ago

Name the property the equation illustrates.<br> (ab)3 = a (63)<br> Accociative Property of addition

Delvig [45]

<h3><u>Question:</u></h3>

Name the property the equation illustrates

(ab)3 = a(b3)

A. Commutative property of addition

B. Associative property of Multiplication

C. Associative Property of Addition

D. Inverse Property of Multiplication

<h3><u>Answer:</u></h3>

Associative property of Multiplication

<h3><u>Solution:</u></h3>

From given equation

(ab)3 = a(b3)

We have to find the property used here

We find the brackets are interchanged

So here, given is a multiplication equation

Therefore, Associative property of Multiplication is used

<h3><u>Associative property of Multiplication:</u></h3>

This property says that when we are multiplying it does not matter where you put the parenthesis

The result will be same wherever we put the parenthesis in multiplying two or more numbers

Which means,

$a \times (b \times c) = (a \times b) \times c$

Therefore, from given,

$a \times (b \times 3) = (a \times b) \times 3$

Thus associative property of multiplication is used

8 0

4 years ago

What is the medium of 14.1,20.7,24.3,16.0,20.8

bekas [8.4K]

To find the median of the numbers you’ll have to find the middle of the numbers.
So,you order them least to greatest:
14.1, 16.0, 20.7, 20.8, 24.3

If you search the number in the middle, the number would be 20.7 is the middle or median

Hope this helps! ;)

8 0

4 years ago

Determine whether the ordered pair is a solution of the linear equation y = 11r - 4 (0 -4)

KiRa [710]

Hi there!

»»————-　★　————-««

I believe your answer is:

Yes, it is a solution.

»»————-　★　————-««

Here’s why:

⸻⸻⸻⸻

I am assuming that 'r' is supposed to be 'x'.

⸻⸻⸻⸻

$y=11r-4\\------------\\\rightarrow -4 = 11(0) - 4\\\\\rightarrow -4 = 0 -4\\\\\rightarrow \boxed{-4=-4}$

⸻⸻⸻⸻

The ordered pair is a solution. You can also tell that it is a solution because the equation given is in slope-intercept form, and '-4' is in b's spot.

⸻⸻⸻⸻

$y = mx+b$

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.

3 0

3 years ago