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3 years ago

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:

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