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lilavasa [31]
2 years ago
15

An injection-molded part is likely to be obtained from any one of 8 cavities on a mold. Round your answers to three decimal plac

es (e.g. 98.765). (b) What is the probability that a part is from cavity 1, 2 or 3? (c) What is the probability that a part is neither from cavity 3 nor 4?
Mathematics
1 answer:
konstantin123 [22]2 years ago
3 0

Answer:

(b) The probability is 0.375

(c) The probability is 0.750

Step-by-step explanation:

The probability is calculated as a division between the number of options that satisfy a condition and the total number of options.

For part (b), we have 8 cavities or options for obtain the part but we want to obtain the part from cavity 1, 2 or 3, so we have 3 options. Therefore, the probability is:

\frac{3}{8}  = 0.375

For part (c), We have 8 cavities or options for obtain the part and we want to obtain the part from any cavity except cavity 3 or 4, so we have 6 options. These options are cavity 1, cavity 2, cavity 5, cavity 6, cavity 7 and cavity 8. Then, the probability is:

\frac{6}{8} = 0.750

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What is the vertex of g(x) = 3x2 − 12x + 7?<br><br> (−6, −5) <br> (−2, −5)<br> (2, −5)<br> (6, −5)
34kurt

Answer:

(2, -5)

Step-by-step explanation:

Convert to vertex form:

3x^2 - 12x + 7

= 3(x^2 - 4x) + 7

Completing the square:

= 3[ (x - 2)^2 - 4)] + 7

= 3(x - 2)^2 - 12 + 7

= 3(x - 2)^2 - 5.

Comparing with the general form

a(x - b)^2 + c  we see that the vertex is (b, c)  =   (2, -5).

4 0
2 years ago
Can anyone please help me with these sums? I need it fast......Please give correct answers only. I will give brainliest.
soldier1979 [14.2K]

Answer:

rise/run= -20/5= -4/1=-4 slope

or you sound use the slope formula (y2-y1)/(x2-x1)

(-9-11)/(1+4)

-20/5

-4

Step-by-step explanation:

3 0
2 years ago
a chef bought 3 bags of beans. Each bag contains 1 2/5 kilogram of beans. How many kilograms of beans did she buy?
soldi70 [24.7K]

Answer:

4.2 kilograms

Step-by-step explanation:

8 0
3 years ago
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Luba_88 [7]
1. Anwser=53.3 (do 40*3 then anwser x 4)
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6 0
2 years ago
What is the additive inverse of -2 + 8i?
tatuchka [14]

Answer:

2 - 8i

Step-by-step explanation:

The additive inverse of something is basically the opposite of it. Another way to say this is that when you add the additive inverse to -2 + 8i, it will equal 0.

<u>An example:</u>

The additive inverse of 7 is -7 because not only is it the opposite, but also when you add 7 and -7, it equals 0.

<u>To solve</u>

So all you need to do is find the opposite of -2 + 8i. You can write it as:

-(-2 + 8i)  With the negative in the front because we want to find the opposite.

This then equals:

2 - 8i

You can check your answer by adding -2 + 8i and 2 - 8i to see if it equals 0:

(-2 + 8i) + (2 - 8i)  →  and it does equal 0

<u>ANSWER:</u> 2 - 8i

Hope you understand and that this helps with your question! :)

8 0
3 years ago
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