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Point R is at (3, 1.3) and Point T is at (3, 2.4) on a coordinate grid. The distance between the two points is ____. (Input numb

Free_Kalibri [48]

Distance formula : d = sqrt ((x2 - x1)^2 + (y2 - y1)^2)
(3,1.3)....x1 = 3 and y1 = 1.3
(3,2.4)...x2 = 3 and y2 = 2.4
now we sub
d = sqrt ((3 - 3)^2 + (2.4 - 1.3)^2)
d = sqrt ((0^2) + (1.1^2))
d = sqrt (0 + 1.21)
d = sqrt 1.21
d = 1.1 <===

6 0

4 years ago

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Live Fund are selling their holding at $5,000 per share. How much would Live Fun receive if they sold half thier holding in Mark

Brums [2.3K]

Live Fund receive $\bold{\$2500 N}$ it they sold half thier holding in Marks Brothers.

<u>Solution:</u>

Given: Sale price of Live Fund holding is 5000 dollar

To find: Amount that Live Fund will get if they sell half of their holding in Marks Brothers.

Assume the total holdings held by Live Fund in Marks Brothers as N

Therfore, half the number of shares or (half the holdings) of Live Fund will be $\frac{N}{2}$ .

Thus, if each share is valued at $\$5000$ , then the total value of the number of shares sold will be as follows,

$\Rightarrow5000\times\frac{N}{2}\text{ dollars }\rightarrow\frac{5000\times N}{2}\text{ dollars }$

$\Rightarrow2500 N\text{ dollars }$

Hence, Live Fund will receive $\$2500 N$

5 0

3 years ago

The battery standby duration (in hours) of a new model of cell phone is known to be normally distributed. Ten pieces of such new

kap26 [50]

Answer:

$\mu = 47.17$

$\sigma = 2.31$

Step-by-step explanation:

Solving (a): The population mean

This is calculated as:

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

So, we have:

$\mu = \frac{48.2+ 47.8 +45.6 +47.2 +49.3+51.2 +44.2 +45.4 +49.2 +43.6}{10}$

$\mu = \frac{471.7}{10}$

$\mu = 47.17$

Solving (b): The population standard deviation

This is calculated as:

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

So, we have:

$\sigma = \sqrt{\frac{(48.2-47.17)^2 + (47.8-47.17)^2 +.........+(43.6-47.17)^2}{10}}$

$\sigma = \sqrt{\frac{53.521}{10}}$

$\sigma = \sqrt{5.3521$

$\sigma = 2.31$

4 0

3 years ago

The first figure is dilated to form the second figure.

Alja [10]

1) The scale factor is 0.25 is true.

Step-by-step explanation:

Step 1:

The first figure is dilated to form the second figure. The shape is a rhombus.

It is given that the side length of the first figure is 5.8 and the side length of the second figure is 1.45.

Step 2:

To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling. In this case, it is the side length of the rhombus.

The scale factor $= \frac{1.45}{5.8} = \frac{1}{4} = 0.25.$

So the scale factor is 0.25. This is the first option.

5 0

3 years ago

Greg buys a home for $328,500. His home is predicted to increase in value 4% each year. What is the predicted value of his home

GaryK [48]

The initial value of the Greg`s home: $328,500. If his home is predicted to increase in value 4% each year, that means that the value will rise 1.04 times every year.
The predicted value after 30 years:
$328,500 * ( 1 + 0.04 ) ^30 =
= $328,500 * 1.04^30 =
= $328,500 * 3.2434 =
= $1,065,456.
Answer: The predicted value of his home in 30 years is $1,065,456.

5 0

3 years ago

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