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otez555 [7]
2 years ago
11

(GIVING 20 POINTS!!) Find the discriminant for the following equation: 3x^2 + 4x = 2 : 8 -8 40 -40

Mathematics
2 answers:
Romashka-Z-Leto [24]2 years ago
5 0

Answer:

40

Step-by-step explanation:

b² - 4ac

= 16 - 4(3)(-2)

= 16 + 24

= 40

vova2212 [387]2 years ago
3 0

Step-by-step explanation:

b² - 4ac

= 16 - 4(3)(-2)

= 16 + 24

= 40

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An economy pack of highlighters contains 12 yellow, 6 blue, 4 green, and 3 orange highlighters. An experiment consists of random
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Answer:

The probability of choosing a blue or yellow highlighter when one yellow highlighter is picked is 17/25.

Step-by-step explanation:

Here, according to the question:

Total number of yellow highlighters  = 12

Total number of blue  highlighters  = 6

Total number of green highlighters  = 4

Total number of orange  highlighters  = 3

So, the total number of highlighters  =  12 + 6 + 4 + 3  = 25

Let E1 : Event of selecting a yellow highlighter.

P(E1)  = \frac{\textrm{Total number of yellow highlighters}}{\textrm{Total Highlighters}}  = \frac{12}{25}

Let E2 : Event of selecting blue or yellow highlighter ONCE yellow highlighter is selected.

So, the total yellow highlighters left after selecting one = 12 -1  = 11

Also, the number of blue highlighter  =  6

So, the TOTAL FAVORABLE options to E2 = 6+ 11 = 17

P(E2)  =

\frac{\textrm{Total number of yellow  + Blue   highlighters}}{\textrm{Total Highlighters}} = \frac{17}{25}

Hence, the probability that a blue or yellow highlighter is selected given that a yellow highlighter is selected is 17/25.

7 0
3 years ago
the areas of the world's oceans are listed in the table order the oceans according to their area from least to greatest.
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18. Ms. Acosta works in the lab at a pharmaceutical company. She needs to make 21 liters of a 32% acid solution to
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Step-by-step explanation:

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3 years ago
Many older homes have electrical systems that use fuses rather than circuit breakers. A manufacturer of 40-amp fuses wants to ma
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Answer:

<u>Alternative hypothesis 1</u>:  the mean amperage at which the fuses burn out is > 40 amperes.

<u>Alternative hypothesis 2</u>:  the mean amperage at which the fuses burn out is < 40 amperes.

Step-by-step explanation:

Recall that the null hypothesis is the fact you want to refute and is in doubt.

So, in this specific case, <em>the null hypothesis would be that the mean amperage at which the fuses burn out is 40 amperes. </em>

The alternative hypothesis are those that want to refute the null hypothesis, in this case there are 2:

<u>Alternative hypothesis 1:</u>  the mean amperage at which the fuses burn out is > 40 amperes.

<u>Alternative hypothesis 2:</u>  the mean amperage at which the fuses burn out is < 40 amperes.

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