Find the midpoint of AC if A is located at (-4,9) and C is located at (1,31)

What is 5 5/6 divided by 3 1/6

slega [8]

Answer:

35/19 or 1.84 in decimal form

4 0

3 years ago

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Round 290951.867863 to the nearest hundred.

jeyben [28]

Answer:

290951. 87

Step-by-step explanation:

you keep what's before the decimal point the same and round what's after it.

8 0

3 years ago

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A new car is purchased for 15500 dollars. The value of the car depreciates at 6.5% per year. What will the value of the car be,

Aleksandr [31]

Answer:

$10356,22

Step-by-step explanation:

15500*(1-(6,5/100))^6=10356,22

3 0

3 years ago

Does anyone know the answer to this question

lys-0071 [83]

ANSWER

$\cos B = \frac{ \sqrt{3} }{3}$

EXPLANATION

The given triangle is a right triangle.

It was given that,

$a = 1$

and

$b = \sqrt{2}$

Using the Pythagoras Theorem, we can determine the value of c.

${c}^{2} = {( \sqrt{2} )}^{2} + {1}^{2}$

${c}^{2} = 2 + 1$

${c}^{2} = 3$

$c = \sqrt{3}$

The ratio is the adjacent over the hypotenuse.

$\cos B = \frac{1 }{ \sqrt{3} }$

We rationalize to get:

$\cos B = \frac{ \sqrt{3} }{ \sqrt{3} \times \sqrt{3} } = \frac{ \sqrt{3} }{3}$

3 0

3 years ago

What is the approximate value for the modal daily sales?

Aleksandr [31]

Answer:

Step-by-step explanation:

Hello!

The table shows the daily sales (in $1000) of shopping mall for some randomly selected days 

Sales 1.1-1.5 1.6-2.0 2.1-2.5 2.6-3.0 3.1-3.5 3.6-4.0 4.1-4.5 

Days 18 27 31 40 56 55 23 

Use it to answer questions 13 and 14. 

13. What is the approximate value for the modal daily sales? 

To determine the Mode of a data set arranged in a frequency table you have to identify the modal interval first, this is, the class interval in which the Mode is included. Remember, the Mode is the value with most observed frequency, so logically, the modal interval will be the one that has more absolute frequency. (in this example it will be the sales values that were observed for most days)

The modal interval is [3.1-3.5]

Now using the following formula you can calculate the Mode:

$Md= Li + c[\frac{(f_{max}-f_{prev})}{(f_{max}-f_{prev})(f_{max}-f_{post})} ]$

Li= Lower limit of the modal interval.

c= amplitude of modal interval.

fmax: absolute frequency of modal interval.

fprev: absolute frequency of the previous interval to the modal interval.

fpost: absolute frequency of the posterior interval to the modal interval.

$Md= 3,100 + 400[\frac{(56-40)}{(56-40)+(56-55)} ]= 3,476.47$

A. $3,129.41 B. $2,629.41 C. $3,079.41 D. $3,123.53 

Of all options the closest one to the estimated mode is A.

14. The approximate median daily sales is … 

To calculate the median you have to identify its position first:

For even samples: PosMe= n/2= 250/2= 125

Now, by looking at the cumulative absolute frequencies of the intervals you identify which one contains the observation 125.

F(1)= 18

F(2)= 18+27= 45

F(3)= 45 + 31= 76

F(4)= 76 + 40= 116

F(5)= 116 + 56= 172 ⇒ The 125th observation is in the fifth interval [3.1-3.5]

$Me= Li + c[\frac{PosMe-F_{i-1}}{f_i} ]$

Li: Lower limit of the median interval.

c: Amplitude of the interval

PosMe: position of the median

F(i-1)= accumulated absolute frequency until the previous interval

fi= simple absolute frequency of the median interval.

$Me= 3,100+400[\frac{125-116}{56} ]= 3164.29$

A. $3,130.36 B. $2,680.36 C. $3,180.36 D. $2,664

Of all options the closest one to the estimated mode is C.

5 0

3 years ago