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nalin [4]
3 years ago
6

You randomly draw a marble from a bag, record is color, and then replace it. You draw a blue marble 11 out of 50 times. What is

the experimental probability that the nes marble will be blue? Write your answer as a fraction, de mal, or percent. The experimental probabilty that the next marble will be blue is​
Mathematics
1 answer:
chubhunter [2.5K]3 years ago
3 0
<h3>Answer:  11/50</h3>

Explanation:

This may seem like a trick question, but it's not. Your teacher simply wants to know how many times you got blue out of the number of times total. The numerator is the number of blue. The denominator is the number of total tries.  The fraction 11/50 cannot be reduced because 11 and 50 share no common factors other than 1.

Notes:

  • 11/50 = 0.22 = 22%
  • The answer above applies to experimental probability only. The theoretical probability is likely different. We don't have enough info to compute the theoretical probability.
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5.4

Step-by-step explanation:

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Max was on vacation twice as long is Jared and half as long as Wesley. The boys were on vacation a total of three weeks. How man
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Max 10 1/2 days
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4 years ago
1 Helen and Emma share some money in the ratio 2 : 5
ddd [48]

The amount of money Emma receives in this scenario is £35.

<h3>What is Ratio?</h3>

This is defined as a comparison of numbers that indicates their sizes in relation to each other.

Helen and Emma = 2 : 5

2 = 5

x  = x+21

We then cross multiply

5x = 2 ( x+21)

5x = 2x + 42

5x - 2x = 42

3x = 42

x = 42/3 = 14

Emma received x+21

= 14+21 = £35

Read more about Ratio here brainly.com/question/2328454

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5 0
3 years ago
Find a polynomial function of lowest degree with rational coefficients
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Since -5i is a zero, then its complex conjugate +5i is also a zero of the function.

Therefore,

x + 5i, x - 5i , and x - 3 are factors of the polynomial.

Hence, the polynomial function, P(x), of the lowest degree with rational coefficients​ is given by

P(x)=(x+5i)(x-5i)(x-3)

Which implies that

\begin{gathered} P(x)=(x^2-(5i)^2)(x-3)=(x^2-25i^2)(x-3) \\ \text{ Since i}^2=-1,\text{ then we have} \\ P(x)=(x-3)((x^2+25)=x^3+25x-3x^2-75 \end{gathered}

Hence the polynomial is

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5 0
1 year ago
Find the fourth point of a parallelogram given the first three (more than one correct answer is possible): (0,6), (5, -1) and (3
inysia [295]

Answer:

The fourth point of the parallelogram is one point among (-2,2), (2,10) and (8,-12).

Step-by-step explanation:

Given information: The first three vertices of parallelogram are (0,6), (5, -1) and (3,-5).

Let fourth point of the parallelogram is (a,b).

Diagonals of a parallelogram bisect each other. It means midpoint of both diagonals are same.

Midpoint formula:

Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Case 1: If the point (0,6), (5, -1) and (3,-5) are consecutive, then pairs of opposite vertices are (0,6) and (3,-5), (5,-1) and (a,b).

(\frac{0+3}{2},\frac{6-5}{2})=(\frac{5+a}{2},\frac{-1+b}{2})

(\frac{3}{2},\frac{1}{2})=(\frac{5+a}{2},\frac{-1+b}{2})

On comparing both sides, we get

\frac{3}{2}=\frac{5+a}{2}

3=5+a

a=-2

\frac{1}{2}=\frac{-1+b}{2}

1=-1+b

b=2

It means the fourth point of the parallelogram is (-2,2).

Case 2: If the point (0,6), (5, -1) and (3,-5) are not consecutive, then pairs of opposite vertices are (0,6) and (5,-1), (3,-5) and (a,b).

(\frac{0+5}{2},\frac{6-1}{2})=(\frac{3+a}{2},\frac{-5+b}{2})

(\frac{5}{2},\frac{5}{2})=(\frac{3+a}{2},\frac{-5+b}{2})

On comparing both sides, we get

\frac{5}{2}=\frac{3+a}{2}

5=3+a

a=2

\frac{5}{2}=\frac{-5+b}{2}

5=-5+b

b=10

It means the fourth point of the parallelogram is (2,10).

Case 3: If the point (0,6), (5, -1) and (3,-5) are not consecutive, then pairs of opposite vertices are (5,-1) and (3,-5), (0,6) and (a,b).

(\frac{5+3}{2},\frac{-1-5}{2})=(\frac{0+a}{2},\frac{6+b}{2})

(\frac{8}{2},\frac{-6}{2})=(\frac{a}{2},\frac{6+b}{2})

On comparing both sides, we get

\frac{8}{2}=\frac{a}{2}

8=a

\frac{-6}{2}=\frac{6+b}{2}

-6=6+b

b=-12

It means the fourth point of the parallelogram is (8,-12).

5 0
4 years ago
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