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Ray Of Light [21]
4 years ago
10

Leslie has thousand followers on Twitter. Her friend Vivian has

Mathematics
1 answer:
Tatiana [17]4 years ago
7 0

Answer:

Vivian has 0.0 followers. Molly has 1000.00 followers.

Step-by-step explanation:

1000-1000= 0

0+1000=1000

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The planet mercury takes 56.6 earth days to rotate once around its axis. About how many times does it rotate around its axis dur
Kruka [31]
In 56.6 earth days , it rotates 1 time
so, in 1 earth day , it will rotate \frac{1}{56.6} times

now, In a earth year, there are 365 days.

So, in 365 earth days, it will rotate  =  \frac{1}{56.6} \times 365 = 6.44 
6 0
4 years ago
2 If a hockey team loses 33% of the games they play, what is the probability that this team will win exactly 10 games out of the
Gekata [30.6K]
  • They lose 33% of games i.e 0.33
  • They win 67% of games i e 0.67

So

  • P(A)=0.33
  • P(A')=0.67

Now

  • They win from 15games=10
  • They lose=5

The required probability

\\ \rm\rightarrowtail P(A')^{10}\times P(A)^5\times ^{15}C_{10}

\\ \rm\rightarrowtail (0.33)^{5}\times (0.67)^{10}\times \dfrac{15!}{5!10!}

\\ \rm\rightarrow 0.0039(0.0182)\times\dfrac{15(14)(13)(12)(11)10!}{5!10!}

\\ \rm\rightarrowtail 0.00007098\times \dfrac{360360}{120}

\\ \rm\rightarrowtail 0.00007098(3003)

\\ \rm\rightarrowtail 0.213

So probability

  • 0.213(100)=21.3%

Option B

3 0
3 years ago
Read 2 more answers
Does anyone know how to do this?? Help please!!!!
Doss [256]

Answer:

When we have a rational function like:

r(x) = \frac{x + 1}{x^2 + 3}

The domain will be the set of all real numbers, such that the denominator is different than zero.

So the first step is to find the values of x such that the denominator (x^2 + 3) is equal to zero.

Then we need to solve:

x^2 + 3 = 0

x^2 = -3

x = √(-3)

This is the square root of a negative number, then this is a complex number.

This means that there is no real number such that x^2 + 3 is equal to zero, then if x can only be a real number, we will never have the denominator equal to zero, so the domain will be the set of all real numbers.

D: x ∈ R.

b) we want to find two different numbers x such that:

r(x) = 1/4

Then we need to solve:

\frac{1}{4} = \frac{x + 1}{x^2 + 3}

We can multiply both sides by (x^2 + 3)

\frac{1}{4}*(x^2 + 3) = \frac{x + 1}{x^2 + 3}*(x^2 + 3)

\frac{x^2 + 3}{4} = x + 1

Now we can multiply both sides by 4:

\frac{x^2 + 3}{4}*4 = (x + 1)*4

x^2 + 3 = 4*x + 4

Now we only need to solve the quadratic equation:

x^2 + 3 - 4*x - 4 = 0

x^2 - 4*x - 1 = 0

We can use the Bhaskara's formula to solve this, remember that for an equation like:

a*x^2 + b*x + c = 0

the solutions are:

x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}

here we have:

a = 1

b = -4

c = -1

Then in this case the solutions are:

x = \frac{-(-4) +- \sqrt{(-4)^2 - 4*1*(-1)} }{2*(1)} = \frac{4 +- 4.47}{2}

x = (4 + 4.47)/2 = 4.235

x = (4 - 4.47)/2 = -0.235

5 0
3 years ago
You were testing orange juice recipes it’s recipe calls for orange juice concentrate and water mix one has 4 cups of concentrate
Sav [38]

Answer:

First mixed is the most orangey.

Step-by-step explanation:

First:

Orange\ juice\ concentrate=4\ cups\\\\Water=6\ cups\\\\Tota\ content=4+6=10\ cups\\\\Percentage\ of\ orange\ juice\ concentrate=\frac{Orange\ juice\ concentrate}{Total\ amount}\times 100\\\\Percentage\ of\ orange\ juice\ concentrate=\frac{4}{10}\times 100=40\%

Second:

Orange\ juice\ concentrate=1\ cups\\\\Water=3\ cups\\\\Tota\ content=1+3=4\ cups\\\\Percentage\ of\ orange\ juice\ concentrate=\frac{Orange\ juice\ concentrate}{Total\ amount}\times 100\\\\Percentage\ of\ orange\ juice\ concentrate=\frac{1}{4}\times 100=25\%

Third:

Orange\ juice\ concentrate=2\ cups\\\\Water=4\ cups\\\\Tota\ content=2+4=6\ cups\\\\Percentage\ of\ orange\ juice\ concentrate=\frac{Orange\ juice\ concentrate}{Total\ amount}\times 100\\\\Percentage\ of\ orange\ juice\ concentrate=\frac{2}{6}\times 100=33.33\%

First mixed has highest percentage of orange juice. Hence first mixed is the most orangey.

4 0
3 years ago
Answer correclty
kolezko [41]

Answer:

2. B) The events have a strong positive linear correlation.

1. C) Find the slope using the slope formula:

\frac{y_2 - y_1}{x_2 - x_1}

Step-by-step explanation:

2. The correlation coefficient is 0,02, which is positive, so this would be the obvious choice.

1. You CANNOT write a linear equation without FIRST finding the rate of change [slope]. You will ALWAYS need the rate of change in order to write any linear equation.

I am joyous to assist you anytime.

5 0
3 years ago
Read 2 more answers
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