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Sliva [168]
3 years ago
6

the mode (rounded to the nearest tenth if needed) of the following data set is 30,29,40,51,39,33,24,60,40,35,58

Mathematics
2 answers:
scoray [572]3 years ago
7 0
The mode is the number that occurs the most in the sequence of numbers, so the mode is 40 since that number is repeated the most in the sequence, 2 times.
grandymaker [24]3 years ago
5 0
The mode is the number that appears the most.
I'll set them up from least to greatest and in separate rows.
24
29
30
33
35
39
40, 40
51
58
60
The number that appeared the most is 40, so your mode is 40.
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Dhruv is at a car dealership. He is going to randomly select a vehicle to test drive. There are
andrew-mc [135]

Answer:

P(compact cars) = 4/25

Step-by-step explanation:

We know that there are 13 trucks, 8 vans, and 4 compact cars.

Let P denotes the probability of an event

Now we are asked to find the probability of compact cars

Number of favorable events = number of compact cars = 4

total number of outcomes = 13+8+4 = 25

hence, P(compact cars) = number of favorable events/total outcomes

                                       =4/25

8 0
1 year ago
A group of rowdy teenagers near a wind turbine decide to place a pair of
Marrrta [24]

Answer:

a) Hence the equation of the sinusoidal function that describes the height of the shorts in terms of time is y = 9 + 7* sin(\pi * t / 15 - \pi  / 6)

b) Hence the height of the shorts at exactly t = 10 minutes, to

the nearest tenth of a meter is 5.5 meters

Step-by-step explanation:

a) The wind turbine blade traverses a circular path as it rotates with time (t), whose time variation is given by the following trajectory equation :

x^2 + (y-yc)^2 = R^2 ,

where  

R = (16 m - 2 m)/2 (since diameter = maximum height - minimum height of the pink short)

= 14 m / 2

= 7 m (radius of the circle)

Also, center of the circle will be at (0, 2 + R) i.e (0,9)

So,  is the trajectory path equation to the circle

Let x = 7* cos(w*t + \phi ) & y = 9 + 7* sin(w* t + \phi) be the parametric form of the above circle equation which represent the position of the pink shorts at the tip of the blade at time t  

At t= 10s, y = 16 m so we have,

9 + 7 * sin(10* w + \phi) = 16 ---------------(1)

Also, at t= 25s, y =2 m so we have,

9 + 7* sin(25 * w +\phi) = 2--------------(2)

Solving we have, 10* w + \phi = \pi/2 & 25*w + \phi = 3*pi/2

15* w = \pi\\\\w = \pi/15 & \phi = \pi/2 - 10*\pi/15 = -\pi / 6  

Therefore y = 9 + 7* sin(\pi * t / 15 - \pi  / 6) is the instantaneous height of the pink short at time t ( in seconds)

b) At t= 10minutes = 10 * 60 s = 600s, we have,

y = 9 + 7 * sin(\pi * 600/15 - \pi / 6)\\\\= 9 + 7 * sin(40* \pi - \pi / 6)

= 5.5 meters (pink short will be at 5.5 meters above ground level at t= 10 minutes)

5 0
2 years ago
4 ALGEBRA 1B QUESTIONS - 70PTS
max2010maxim [7]
They have two solutions
6 0
3 years ago
A TV has a listed price of $579.95 before tax. If the sales tax rate is 7.75%, find the total cost of the TV with sales tax incl
kkurt [141]

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6 0
2 years ago
Two cyclists , A and B , are going on a bike ride and are meeting at an orchard . They left home at the same time . Functions A
vova2212 [387]

Answer:

Cyclist A lives farther from the Orchard

Step-by-step explanation:

Given

A(x) =48.5 -21x

B(x) =42 -16.8x

Required:

Who lives farther from the Orchard.

To do this, we simply calculate the y intercept.

This represents the total distance traveled to get to the Orchard

To calculate y intercept, we set x = 0

So:

A(x) =48.5 -21x

A(0) = 48.5-21*0 =48.5-0 =48.5

B(x) =42 -16.8x

B(0) = 42 - 16.8*0 =42-0 =42

From the above computation:

A(0) > B(0) \to 48.5 > 42

Hence;

Cyclist A lives farther from the Orchard

5 0
2 years ago
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