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Mumz [18]
3 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]3 years ago
5 0
32 total
9/32 -professor
9/32 -instructor
9/32+9/32=18/32=9/16
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A box of cashews peanuts and almonds contains 270 nuts. for every 5 cashews there are 6 peanuts and 7 almonds. How many more are
yKpoI14uk [10]
For every 5 cashews, there are 6 peanuts and 7 almonds.

Means:    Cashews:Peanuts:Almonds = 5:6:7

Sum of ratio = 5 + 6 +7 = 18

Cashews =    (5/18) * 270 = 75


Peanuts =    (6/18) * 270 = 90


Almonds =    (7/18) * 270 = 105

So how many more what are there than peanuts?

The number of that nuts Minus the number of peanuts.

= Number of that nuts  -  90
5 0
3 years ago
Two planes A and B start from the same place and move in different directions making an angle of 50° between them the speed of p
Alika [10]

Answer:

The distance between them is 230.65 miles

Step-by-step explanation:

Here we use the Cosine formula

a^2 = b^2 + c^2 - 2bc\ cos\ A\\\\a^2 = 200^2 + 300^2 - 2\times 200\times 300cos50^{\circ}\\\\= 40,000 + 90,000 - 120,000cos50^{\circ}\\\\= 130,000 - 120,000 \times 0.64\\\\= 130,000 - 76,800\\\\a^2= 53,200\\\\a = \sqrt{53,200} \\\\= 230.65\ miles\ per\ hour

Now the distance for one hour is

= 230.65 ÷ 1

= 230.65 miles

4 0
3 years ago
Write 0.87 as a fraction in simplest form.
TEA [102]
Write the decimal number as a fraction
(over 1)
0.87 = 0.87 / 1

Multiplying by 1 to eliminate 2 decimal places
we multiply top and bottom by 2 10's

Numerator (N)
N = 0.87 × 10 × 10 = 87
Denominator (D)
D = 1 × 10 × 10 = 100

N / D = 87 / 100

Simplifying our fraction

= 87/100

<span>= 87/100</span>
8 0
3 years ago
Can a matrix of dimensions 2 X 4 be added to another matrix with dimensions of 2 X 6?
Rus_ich [418]

Answer:

No.

Step-by-step explanation:

It has different order of matrices .

For <em>A</em><em>d</em><em>d</em><em>i</em><em>t</em><em>i</em><em>o</em><em>n</em><em> </em>or <em>S</em><em>u</em><em>b</em><em>s</em><em>t</em><em>r</em><em>a</em><em>c</em><em>t</em><em>i</em><em>o</em><em>n</em><em> </em>, both matrices must have the same number of <u>r</u><u>o</u><u>w</u><u>s</u> and <u>c</u><u>o</u><u>l</u><u>u</u><u>m</u><u>n</u><u>s</u> .

8 0
3 years ago
1. Nasim thinks of a number.
mrs_skeptik [129]

Step-by-step explanation:

5x-16 = 3 (10+x)

=> x= 23

7 0
2 years ago
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