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3 years ago

A technician is launching fireworks near the event of a show. Of the remaining 11 fireworks, 4 are blue and 7 are red. If she la

unches 6 of them what’s the probability that 2 of them will be blue

Mathematics

1 answer:

SpyIntel [72]3 years ago

8 0

$\displaystyle |\Omega|=\binom{11}{6}=\dfrac{11!}{6!5!}=\dfrac{7\cdot8\cdot9\cdot10\cdot11}{2\cdot3\cdot4\cdot5}=462\\ |A|=\binom{4}{2}=\dfrac{4!}{2!2!}=\dfrac{3\cdot4}{2}=6\\\\ P(A)=\dfrac{6}{462}=\dfrac{1}{77}\approx1\%$

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What is the value of 3 minus (negative 2)? A number line going from negative 5 to positive 5. –5 –1 1 5What is the product? (6)

bonufazy [111]

Answer: 5, 72

Step-by-step explanation:

Given the following questions :.

The value of 3 minus (negative 2)

3 - (-2) = 3 + 2 = 5

A number line going from Negative 5 to positive 5, what is the product of 6(negative 12)

6 × (-12) = - 72

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3 years ago

(x + 3)2(x - 1)<br> is s<br> (x + 2)2<br> Determine the solutions to the following inequalities

horsena [70]

Answer:

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The ans is in the picture with the steps how i got it

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Step-by-step explanation:

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3 years ago

What is the axis of symmetry of the graph of f(x)=−2x²+8x−2?

FromTheMoon [43]

For the given parabola, the axis of symmetry is x = 2.

<h3>How to get the axis of symmetry?</h3>

For any given parabola, we define the axis of symmetry as a line that divides the parabola in two equal halves.

For a regular parabola, we define the axis of symmetry as:

x = h

Where h is the x-component of the vertex.

Remember that for the general parabola:

y = a*x^2 + b*x + c

The x-value of the vertex is:

h = -b/(2a)

Then for the function:

f(x)=−2x²+8x−2

We get:

h = -8/(2*-2) = 2

Then the axis of symmetry is x = 2.

If you want to learn more about parabolas, you can read:

brainly.com/question/1480401

7 0

2 years ago

A mixture contains five quarts of acid and water and is forty percent acid. If the mixture is to be weakened to thirty percent a

kari74 [83]

Answer: Second option is correct.

Step-by-step explanation:

Since we have given that

Amount of quarts of acid and water = 5

Percentage of acid = 40%

So, Amount of acid is given by

$\frac{40}{100}\times 5\\\\=2\ quarts$

Amount of water is given by

$5-2=3\ quarts$

So, we need to find the amount of water must be added to the mixture to get weakened to 30% acid.

Let x amount of water is added to mixture, so that water gets 70% of mixture and acid becomes 30% of mixture.

According to question,

$\frac{3+x}{2}=\frac{70}{30}\\\\\frac{3+x}{2}=\frac{7}{3}\\\\3(3+x)=2\times 7\\\\9+3x=14\\\\3x=14-9\\\\3x=5\\\\x=\frac{5}{3}\\\\x=1\frac{2}{3}\ quarts$

Hence, Second option is correct.

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3 years ago

Read 2 more answers

What word describes the equal shares of the shape?

kykrilka [37]

Congruent means equal so Congruent is the equal parts of the shape

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3 years ago