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rodikova [14]
3 years ago
5

7. For homework Javier has to solve the equation below.

Mathematics
1 answer:
cricket20 [7]3 years ago
7 0

Answer:

C 10⁴

Step-by-step explanation:

The given equation is

7.75n = 77500

Javier has to solve for n

He can multiply through by 100 to get;

775n = 7750000

He can now divide through by 775 to obtain:

n =  \frac{7750000}{775}

He can now easily simplify to get:

n = 10000

We rewrite as a power to get:

n =  {10}^{4}

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Find the probability of winning a lottery by selecting the correct six integers, where the order in which these inte
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The probability of winning a lottery by selecting the correct six integers, are

\begin{aligned}&(a) 1.68 \times 10^{-6} \\&(b) 5.13 \times 10^{-7} \\& (c) 1.91 \times 10^{-7} \\&(d)8.15 \times 10^{-8}\end{aligned}

<h3>What is binomial distribution?</h3>

The binomial distribution is a type of probability distribution that expresses the probability that, given a certain set of characteristics or assumptions, a value would take one of two distinct values.

Part (a); positive integers not exceeding 30.

To calculate the probability, use binomial coefficients. Pick six of the six accurate integers and none of the other twenty-four.

\frac{\left(\begin{array}{c}6 \\6\end{array}\right)\left(\begin{array}{c}24 \\0\end{array}\right)}{\left(\begin{array}{c}30 \\6\end{array}\right)}=\frac{1}{\left(\begin{array}{c}30 \\6\end{array}\right)}=1.68 \times 10^{-6}

Part (b); positive integers not exceeding 36.

To calculate the probability, use binomial coefficients. Pick six of the six accurate integers and none of the other thirty.

\frac{\left(\begin{array}{l}6 \\6\end{array}\right)\left(\begin{array}{c}30 \\0\end{array}\right)}{\left(\begin{array}{c}36 \\6\end{array}\right)}=\frac{1}{\left(\begin{array}{c}36 \\6\end{array}\right)}=5.13 \times 10^{-7}

Part (c); positive integers not exceeding 42.

To calculate the probability, use binomial coefficients. Pick six of the six accurate integers and none of the 36 other integers.

\frac{\left(\begin{array}{l}6 \\6\end{array}\right)\left(\begin{array}{c}36 \\0\end{array}\right)}{\left(\begin{array}{c}42 \\6\end{array}\right)}=\frac{1}{\left(\begin{array}{c}42 \\6\end{array}\right)}=1.91 \times 10^{-7}

Part (d); positive integers not exceeding 48.

To calculate the probability, use binomial coefficients. Choose six of the six accurate integers and none of the other 42.

\frac{\left(\begin{array}{l}6 \\6\end{array}\right)\left(\begin{array}{c}42 \\0\end{array}\right)}{\left(\begin{array}{c}48 \\6\end{array}\right)}=\frac{1}{\left(\begin{array}{c}48 \\6\end{array}\right)}=8.15 \times 10^{-8}

To know more about binomial probability, here

brainly.com/question/9325204

#SPJ4

The complete question is-

Find the probability of winning a lottery by selecting the correct six integers, where the order in which these integers are selected does not matter, from the positive integers not exceeding a) 30. b) 36. c) 42. d) 48.

5 0
2 years ago
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DanielleElmas [232]

Answer:

The total length of the pathway now is 1,541 ft

Step-by-step explanation:

To calculate the length of the pathway now, what we need to do is to have a consistency in units.

Thus, we need to convert the 513 yards to ft

Mathematically 1 yard = 3 feet

Thus 513 yards will be = 513 * 3 = 1,539 ft

Thus the total length of the pathway now will be 1539 ft + 2 ft = 1541 ft

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2 years ago
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Simplify Completely <br> √20y⁸ <br><br> Please Help!!!!
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\sqrt{ {20y}^{8} }   =  {2y}^{4}  \sqrt{5}

Hope this helps. - M
4 0
3 years ago
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Hello can somedy help me please <br> thank you in advance
alina1380 [7]

Answer:

Area of the circle=πr²

= 3.142 \times  {4}^{2}  \\  = 50.272cm \\  = 50.3cm

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What is the lowest common multiple (LCM) of 8, 2 and 5?
aivan3 [116]

Answer:

40

Step-by-step explanation:

Using the method of prime factors

8 = 2 × 2 × 2 = 2³

2 = 2

5 = 5

Then LCM = 2³ × 5 = 8 × 5 = 40

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3 years ago
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