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Mumz [18]
4 years ago
6

The biology faculty at a college consists of 9 full professors, 14 associate professors, 13 assistant professors, and 4 instruct

ors. if one faculty member is randomly selected, find the probability of choosing a full professor or an instructor
Mathematics
1 answer:
-Dominant- [34]4 years ago
5 0
32 total
9/32 -professor
9/32 -instructor
9/32+9/32=18/32=9/16
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The vertices of △DEF are D(1, 19), E(16, −1), and F(−8, −8). What type of triangle is △DEF?
JulijaS [17]

Answer: equilateral

Step-by-step explanation:

4 0
3 years ago
The angular velocity of a fan blade is 6.2 radians per second.
MA_775_DIABLO [31]

Answer:

94.7 revolutions

Step-by-step explanation:

In the question above, we are given the following values for the fan

Angular velocity = 6.2 radians per seconds

Time = 1.6 minutes.

Step 1

We would convert the time given to seconds

1 minute = 60 seconds

1.6 minutes = ?

We cross multiply

1.6 minutes × 60 seconds

= 96 seconds

Step 2

Number of revolutions made by the fan is calculated as :

Angular velocity(rad/s)

× time(seconds)

Number of revolutions = 6.2 radians per seconds × 96 seconds

=595.2 radians

Converting from radians to revolution

1 radian = 0.159155 revolutions

595.2 radians =

Cross multiply

= 595.2 radians × 0.159155 revolutions

= 94.729056 revolutions.

Approximately to the nearest tenth = 94.7 revolutions.

Therefore, the number of revolutions the fan blade makes in 1.6 minutes is 94.7 revolutions.

8 0
3 years ago
Suppose the inside bottom of a box is painted with three colors: one-third of the bottom area is blue, one-sixth is red, and one
miss Akunina [59]

Answer:

The probability that the pebble will NOT land on color blue is 0.67.

Step-by-step explanation:

We attribute the box area as the probability of the events.

So the probability of landing in the Red Area is 1/6, the probability of landing in the Blue Area is 1/3 and the probability of landing in the Yellow Area is 1/2.

P(Red)=\frac{1}{6}

P(Yellow)=\frac{1}{2}

P(Blue)=\frac{1}{3}

The probability of landing in NOT Blue area is given by:

P(Not Blue)=1-P(Blue)=1-\frac{1}{3}=\frac{2}{3} =0.67

8 0
3 years ago
The product of two numbers is 21. If the first number is -3 which equation respents this situation and what is the second number
Vaselesa [24]

Let the second no. be x

-3x = 21 → x = 21/-3 → x = -7

4 0
1 year ago
What is the answer to the main problem
Sholpan [36]

Answer:

x-int: (3, 0)

y-int: (0, -1.5)

Step-by-step explanation:

x-intercept is the x-value when y = 0

y-intercept is the y-value when x = 0

Step 1: Find x-intercept

0 = (x - 3)/2

0 = x - 3

x = 3

(3, 0)

Step 2: Find y-intercept

y = (0 - 3)/2

y = -3/2

(0, -1.5)

8 0
3 years ago
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