I need the correct answer.. Please only answer if you are almost positive that it is correct..

Rufina [12.5K]

Original height = original width = x mm

1. She made an enlarged copy...
height = 2x
width = 2x

2. She cut off a rectangle...
height = 2x
width = $\frac{2}{3} *2x= \frac{4}{3}x$

3.She doubled the width...
height = 2x
width = $2*\frac{4}{3}x = \frac{8}{3}x$

height * width = area

$2x * \frac{8}{3}x=139 \ 968 \\ \\ \frac{16}{3}x^2= 139 \ 968 \\\\ x^2=139 \ 968: \frac{16}{3}=139 \ 968 * \frac{3}{16}= 8 \ 748*3 = 26 \ 244 \\ \\ x= \sqrt{26 \ 244} = 162 \ mm$

Original height was 162 mm

6 0

4 years ago

Morgan’s mother is 3 times older than 2 years more than Morgan’s age. Write an expression for the age of Morgan’s mother, using

shutvik [7]

(2+m)3=Morgan's mother

3 0

4 years ago

Read 2 more answers

According to the Vivino website, the mean price for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System i

lozanna [386]

Answer:

a

The null hypothesis is $H_o : \mu = 32.48$

The alternative hypothesis is $H_a : \mu < 32.48$

b

$t = -1.504$

c

There is no sufficient evidence to conclude that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48

Step-by-step explanation:

From the question we are told that

The mean price of is $\mu = \$ 32.48$

The sample size is n = 56

The sample mean is $\= x = \$30.15$

The standard deviation is $\sigma = \$12$

The null hypothesis is $H_o : \mu = 32.48$

The alternative hypothesis is $H_a : \mu < 32.48$

Generally the test statistic is mathematically represented as

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

=> $t = \frac{30.15 - 32.48 }{\frac{12 }{\sqrt{60} } }$

=> $t = -1.504$

Generally the p-value is mathematically represented as

$p-value = P (t < -1.504 )$

From the z-table

$P(t < -1.504) = 0.066291$

So

$p-value = 0.066291$

From the value we obtain we see that

$p -value > \alpha$

Then we fail to reject the null hypothesis

Hence there is no sufficient evidence to conclude that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48

3 0

3 years ago

Please help i will give extra points

Mkey [24]

-9+15-2^2
-9+15-4
6-4 = 2
Your answer is 2

Hope this helps *smiles*

7 0

3 years ago

Read 2 more answers

The slope of a line passing through H (-2,5) is -3/4. Which ordered pair represents a point in this line

Aleonysh [2.5K]

Answer:

(6,-1)

Step-by-step explanation:

The ordered pair on the line will have the same slope. To find this, substitute the original point (-2,5) and each listed point into the slope formula. Simplify to see if the slope is the same.

$m = \frac{y_2-y_1}{x_2-x_1} = \frac{-1 - 5}{6 --2} = \frac{-6}{8} = -\frac{3}{4}$

The pair (2,8) gives a slope of 3/4.

The pair (-5,1) gives a slope of 4/3.

The pair (1,1) gives a slope of -4/3.

The solution is (6,-1).

3 0

3 years ago