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3 years ago

How does the mean of the data set below change if each value is increased by 8?

1 answer:

7 0

Suppose our data set is:
2,4,6,8
the mean of the above data is:
(2+4+6+8)/4=20/4=5

Increasing the above value by 8
10,12,14,16
the mean will be:
(10+12+14+16)/4
=52/4
=13
The difference in the two mean values i
13-5=8
Thus we conclude that if we increase our values by 8, the mean increases by 8

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Find the sine of ∠U. A)48/55 B)48/73 C)55/48 D)55/73

charle [14.2K]

Answer:

D) 55/73

Step-by-step explanation:

The question is on trigonometry. Sine of an angle is obtained using the SOH of SOHCAHTOA formula of trigonometry. SOH is an acronym for sine, opposite and hypotenuse. Sine of an angle is obtained from the ratio of opposite and hypotenuse of a given triangle. Thus, SOH

is denoted as stated below.

$sine \: \beta = \frac{opposite}{hypotenuse}$

Hence, given the above triangle,

$sine \: of \: angle \: u = \frac{ |bc| }{ |ab| } = \frac{55}{73}$

Therefore, the sine of angle u = 55/73 (D)

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3 years ago

According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function f(x)=(4x3−13x+11)3?

trapecia [35]

Answer:

Step-by-step explanation:

The highest power is 3*3 = 9, so it's 9.

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3 years ago

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Step-by-step explanatio

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3 years ago

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lutik1710 [3]

Answer:

For 2a, we are completing the square (see the image below)

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3 years ago

A motorboat travels 168 kilometers in 4 hours going upstream. It travels 280 kilometers going downstream in the same amount of t

Grace [21]

Answer:

The speed of the boat is 56 km/hr

The rate of the current is 14 km/hr

Step-by-step explanation:

We are given the following;

Distance traveled upstream = 168 km
Time taken to travel upstream = 4 hours
Distance traveled down stream = 280 km
Time taken down stream = 4 hours

We are required to determine the speed of the boat in still water and the speed of the current.

We are going to take;

Speed of the boat as = x km/hr

Rate of flow of current = y km/hr

We can determine the speed of the boat upstream;

Speed = Distance ÷ time

= 168 km ÷ 4 hours

= 42 km/hr

But, the speed upstream is given by (x - y) km/hr

Therefore; ( x-y) km/hr = 42 km/hr ......................... Eqn 1

Speed of the boat down stream

speed = 280 km ÷ 4 hours

= 70 km/hr

But, the speed downstream is given by (x+y) km/hr

Therefore, x+y km/hr = 70 km/hr ........................... Eqn 2

Solving Eqn 1 and Eqn 2 simultaneously;

x - y = 42

x + y = 70

Eliminating x

-2y = - 28

y = 14 km/hr

Solving for x,

x = 42 + y

= 42 + 14

= 56 km/hr

Therefore, the speed of the boat is 56 km/hr while the rate of the current is 14 km/hr

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4 years ago