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oksian1 [2.3K]
3 years ago
11

Light bulbs manufactured at a certain factory have a 3% probability of being defective. What is the probability that 5 out of a

shipment of 30 will be defective?
Mathematics
1 answer:
Eddi Din [679]3 years ago
5 0
There is a 3% chance of each light bulb being defective, and we only want 5 of them to be defective. The chance is then:

3\%^5*97\%^{25}

Or this really small number: 1.13474853e-8
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NO LINKS!!! Part 2: Find the Lateral Area, Total Surface Area, and Volume. Round your answer to two decimal places.​
slava [35]

Answer:

<h3><u>Question 7</u></h3>

<u>Lateral Surface Area</u>

The bases of a triangular prism are the triangles.

Therefore, the Lateral Surface Area (L.A.) is the total surface area excluding the areas of the triangles (bases).

\implies \sf L.A.=2(10 \times 6)+(3 \times 6)=138\:\:m^2

<u>Total Surface Area</u>

Area of the isosceles triangle:

\implies \sf A=\dfrac{1}{2}\times base \times height=\dfrac{1}{2}\cdot3 \cdot \sqrt{10^2-1.5^2}=\dfrac{3\sqrt{391}}{4}\:m^2

Total surface area:

\implies \sf T.A.=2\:bases+L.A.=2\left(\dfrac{3\sqrt{391}}{4}\right)+138=167.66\:\:m^2\:(2\:d.p.)

<u>Volume</u>

\sf \implies Vol.=area\:of\:base \times height=\left(\dfrac{3\sqrt{391}}{4}\right) \times 6=88.98\:\:m^3\:(2\:d.p.)

<h3><u>Question 8</u></h3>

<u>Lateral Surface Area</u>

The bases of a hexagonal prism are the pentagons.

Therefore, the Lateral Surface Area (L.A.) is the total surface area excluding the areas of the pentagons (bases).

\implies \sf L.A.=5(5 \times 6)=150\:\:cm^2

<u>Total Surface Area</u>

Area of a pentagon:

\sf A=\dfrac{1}{4}\sqrt{5(5+2\sqrt{5})}a^2

where a is the side length.

Therefore:

\implies \sf A=\dfrac{1}{4}\sqrt{5(5+2\sqrt{5})}\cdot 5^2=43.01\:\:cm^2\:(2\:d.p.)

Total surface area:

\sf \implies T.A.=2\:bases+L.A.=2(43.01)+150=236.02\:\:cm^2\:(2\:d.p.)

<u>Volume</u>

\sf \implies Vol.=area\:of\:base \times height=43.011193... \times 6=258.07\:\:cm^3\:(2\:d.p.)

8 0
1 year ago
(1 point) All that is left in a packet of candy are 7 reds, 3 greens, and 3 blues.
Sauron [17]

Answer:

A 21 /169

B independent

Step-by-step explanation:

The total number of candies is 7+3+3 = 13

P( 1st red) = red/total = 7/13

Since the candy is put back there are still 13 candies in the dish

P(2nd green) = green/total = 3/13

P( red, then green) = P( 1st red) * P(2nd green)

                                = 7/13* 3/13 = 21/169

The events are independent since the candies are put back

4 0
2 years ago
Guys can you please help me I really dont understand algebra?
KonstantinChe [14]

Yes it is linear since it's in the standard form Ax+By = C

A = 2

B = -8

C = 16

6 0
2 years ago
Read 2 more answers
Find the value of x in the following triangle​
ozzi

Answer:

x = 124°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , then

x = 180° - (32 + 24)° = 180° - 56° = 124°

4 0
2 years ago
naomi's fish is 40 millimeters long. her guinea pig is 25 centimeters long. how much longer is the guinea pig than her fish
horrorfan [7]
Hi there!

The correct answer is 6.25 times.

This is how you get there:

1) First off, you are going to need to have the same unit (either cm or mm). I used millimeters for this problem. 25cm=250mm

2) This next part is very easy to get wrong. You need to figure out what you are dividing, and by what. Simply look at the problem. <span><em>"How much longer is the guinea pig than her fish?" </em>This shows what numbers you should be getting. The guinea pig is 250mm long, where the fish is only 40. This means that her guinea pig should be larger. 250÷40=6.25

If you did this problem the other way, you would've ended up with .16. If you put the sizes into perspective, you will notice that this is highly unlikely.

I hope that I have been able to simplify this problem for you!

Brady
</span>
3 0
3 years ago
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