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3 years ago

4, 5, 3, 3, 1, 2, 3, 2, 4, 8, 2, 4, 4, 5, 2, 3, 6,2

Mathematics

2 answers:

Anna007 [38]3 years ago

6 0

Answer:

Given data:

4, 5, 3, 3, 1, 2, 3, 2, 4, 8, 2, 4, 4, 5, 2, 3, 6,2

Put the data in the ascending order:

1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 8

Mean, the average:

(1 + 2*5 + 3*4 + 4*4 + 5*2 + 6 + 8)/18 = 3.5

Median, average of middle two numbers:

Mode, the most repeated number:

2 (repeated 5 times)

Mean is normally the best measure of central tendency, same applies to this data.

Blababa [14]3 years ago

3 0

Answer: Mean= 6

Mode= 2

Median =3

Step-by-step explanation:

I knows it

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Let sin(−θ)=−3/5 and tanθ>0. What is the value of cos(−θ)?

Jobisdone [24]

Answer:

The value of Cos (-Ф) $\dfrac{\textrm 4}{\textrm 5}$ .

Step-by-step explanation:

Given Trigonometric function as :

sin( - Ф ) = $\frac{- 3}{5}$

- sin Ф = $\frac{- 3}{5}$

So, sin Ф = $\frac{ 3}{5}$

Now, as sin Ф = $\dfrac{\textrm perpendicular}{\textrm hypotenuse}$

So , $\dfrac{\textrm perpendicular}{\textrm hypotenuse}$ = $\frac{ 3}{5}$

So, perpendicular = 3

And hypotenuse = 5

Now, From Pythagoras Theorem

Base ² = Hypotenuse² - Perpendicular²

Or, Base ² = 5² - 3²

Or, Base ² = 25 - 9

Or, Base ² = 16

∴ Base = $\sqrt{16}$

I.e Base = 4

Now, Cos Ф = $\dfrac{\textrm base}{\textrm hypotenuse}$

So, Cos Ф = $\dfrac{\textrm 4}{\textrm 5}$

Now , Since

Cos ( - Ф ) = Cos Ф

So, Cos ( - Ф ) = Cos Ф = $\dfrac{\textrm 4}{\textrm 5}$

Hence The value of Cos (-Ф) $\dfrac{\textrm 4}{\textrm 5}$ . Answer

6 0

3 years ago

HEEEELPPPPPPPPP Which properties describe the graph of (x + 5)2 + (y – 10)2 < 169?

Bond [772]

Answer:

circle with center at (–5, 10), shading inside the circle

Step-by-step explanation:

edge2021

6 0

3 years ago

Read 2 more answers

Jackie has $32.50 to buy a new pair of jeans. The pair she likes costs $38 but is marked “20% off ticketed price.” The sales tax

ohaa [14]

Hello! So, the jeans are 20% off of the original price. While she gets 20% off of the jeans, she still has to pay 80% of the price. To find out the discount price, multiply 38 by 80% (0.8). 38 * 0.8 is 30.4 $30.40 is the discount price. There is 5% tax on the item. First off, let's add 1 to the rate. 5% is 0.05 in decimal form. 1 + 0.05 is 1.05. We add 1 to the percentage rate, because adding that and multiplying that amount will bring us straight to the new price. Now, multiply 30.4 and 1.05 together to get the new price. When you do, you get 31.92. $31.92 is the price of the jeans. 31.92 < 32.50. Jackie has enough money to buy the jeans.

4 0

3 years ago

Help Simplify. 2−4÷2+2^3

Radda [10]

Hey there!

If we use pemdas:

P - Parentheses
E - Exponents
M - Multiplicatiom
D - Division
A - Addition
S - Subtractiom

We know we have to evaluate the exponent first. Two to the rid power is equal to 8. Therefore, we have:

2 - 4/2 + 8

Next, we do the division. -4/2 = -2, so we have:

2-2 + 8 = 0 + 8 = 8

Hope this helps!

3 0

4 years ago

Read 2 more answers

1 and 16/24 + 1 and 21/24

AlexFokin [52]

Answer:

turn into improper fractions

1*24+16=40

40/24

1*24+21=45

45/24

40/24+45/24=85/24

work out how many times 24 goes into 85 to get back to a mixed number.

24 goes into 85 three times with 13 left over so the answer is

3 and 13/24

6 0

3 years ago