Answer:
<h3>By 161700 ways this test batch can be chosen.</h3>
Step-by-step explanation:
We are given that total number of bulbs are = 100.
Number of bulbs are tested = 3.
Please note, when order it not important, we apply combination.
Choosing 3 bulbs out of 100 don't need any specific order.
Therefore, applying combination formula for choosing 3 bulbs out of 100 bulbs.
read as r out of n.
Plugging n=100 and r=3 in above formula, we get

Expanding 100! upto 97!, we get
=
Crossing out common 97! from top and bottom, we get
=
Expanding 3!, we get
=
= 100 × 33 × 49
= 161700 ways.
<h3>Therefore, by 161700 ways this test batch can be chosen.</h3>
Answer:
8
Step-by-step explanation:
We can use triangle inequality, let AC = x:
x+4 > 5
x+5 > 4
9 > x
Simplifying:
x>1
x>-1
9>x
Thus: 9>x>1
So the Largest whole number is 8
The answer is never, that is, on a 2 dimensional plane. You can perform an experiment to see why it is the case. On curved surfaces though, two lines can intersect one another more than once. For instance, on the surface of planet Earth, two lines can intersect one another, both at the Earth's North Pole and South Pole.
The profit should be shared in proportion to Mr Jones, Mr Thomas and Mr forson capitals in the ratio 21 : 32 : 27 respectively.
<h3>Proportion</h3>
- Mr Jones capital = $12600
- Mr Thomas capital =$19200
- Mr forson capital = $16200
Total capital = $12600 + $19200 + $16200
= $48,000
Mr Jones proportion = $12600 / $48,000
= 21/80
Mr Thomas proportion = $19200 / $48,000
= 32/80
Mr forson proportion = $16200 / $48000
= 27/80
Learn more about proportion:
brainly.com/question/1781657
$SPJ1
Answer:
<h2>120 square meters</h2>
Step-by-step explanation:
To find the SA of 2 Triangles, we will use the formula... B x H, and the Base and Height is going to be the dimensions of just 1 triangle, but it's going to give the answer for 2 triangles, in this shape, we have 2 triangles.
SA = B x H
= 6 x 4
= 24
24 square meters for both of the triangles
Now, let's find the SA of the rectangle on the bottom...
SA = L x W
= 6 x 6
= 36
36 square meters for 1 of the 3 rectangular parts, the one on the bottom
Now, lets find the SA of the 2 rectangles on the top. We'll use the dimensions of 1 rectangle and find the answer for 2 answers by using the formula...
SA = L x W x 2
= 6 x 5 x 2
= 30 x 2
= 60
60 square meters for the 2 rectangles on the top.
Now, we have to add all of our answers.
24 + 36 + 60 = 120 square meters
<h2>
Hence, the SA (surface area) of this shape is 120 square meters.</h2>
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