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saw5 [17]
3 years ago
6

What is the most appropriate SI unit for measuring the following items?

Mathematics
1 answer:
pochemuha3 years ago
5 0

Answer: (d) meter

have a good day :)

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Suppose a deck of cards contains 13 cards:
ira [324]

Answer:

P(G_1) = \frac{5}{13}

P(G_2) = \frac{1}{3}

P(X \ge 1) = \frac{25}{39}

Step-by-step explanation:

Given

G = 5

R = 4

B = 4

n = 13

Solving (a): P(G_1)

This is calculated as:

P(G_1) = \frac{G}{n}

P(G_1) = \frac{5}{13}

Solving (b): P(G_2)

This is calculated as:

P(G_2) = \frac{G - 1}{n - 1} -- this is so because the selection is without replacement

P(G_2) = \frac{5 - 1}{13 - 1}

P(G_2) = \frac{4}{12}

P(G_2) = \frac{1}{3}

Solving (c): P(X \ge 1)

Using the complement rule, we have:

P(X \ge 1) = 1 - P(X = 0)

To calculate P(X = 0), we have:

G = 5 --- Green

G' = 8 ---- Not green

The probability that both selections are not green is:

P(X = 0) = P(G'_1) * P(G'_2)

So, we have:

P(X = 0) = \frac{G'}{n} * \frac{G'-1}{n-1}

P(X = 0) = \frac{8}{13} * \frac{8-1}{13-1}

P(X = 0) = \frac{8}{13} * \frac{7}{12}

Simplify

P(X = 0) = \frac{2}{13} * \frac{7}{3}

P(X = 0) = \frac{14}{39}

Recall that:

P(X \ge 1) = 1 - P(X = 0)

P(X \ge 1) = 1 - \frac{14}{39}

Take LCM

P(X \ge 1) = \frac{39 -14}{39}

P(X \ge 1) = \frac{25}{39}

7 0
2 years ago
Find the slope of the lines (-3,-1) and (-6,-10)
OleMash [197]

m = rise/run = (-10 - (-1))/(-6 - (-3)) = -9/-3 = 3

the slope of the line is equal to 3.

3 0
1 year ago
6 x 10^5 over 6 x 10^4 equals ??
Phoenix [80]

Answer:

its 10 just take away the zeros until u have only one of them trust me its right

Step-by-step explanation:

its 10

5 0
3 years ago
What is the median of the data
erastova [34]

Answer:

5

Step-by-step explanation:

Median is the middle

5 0
2 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=2x%5E%7B2%7D%20%2B12x-7%3D0%20%5C%5C" id="TexFormula1" title="2x^{2} +12x-7=0 \\" alt="2x^{2}
m_a_m_a [10]

Answer:

-2. 46

- 9.54

Step-by-step explanation:

  • 2x²+12x-7=0
  • 2x²+12x+18= 25
  • 2*(x²+6x+9)=25
  • 2*(x+6)²= 5²
  • x+6= 5√2/2 ⇒ x= 5√2/2 -6 ≈ -2. 46
  • x+6= -5√2/2 ⇒ x= -5√2/2 -6 ≈ - 9.54
4 0
2 years ago
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