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4 years ago

Answer question 4 plz! (100 points!!!)

Mathematics

2 answers:

Arte-miy333 [17]4 years ago

8 0

Answer:

Step-by-step explanation:

Kitty [74]4 years ago

7 0

Answer? i think its d

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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

3 years ago

Suppose sin(A)=-0.78. use the trig identity sin^2(A)+cos^2(A)=1 and the trig identity tan(A) = sin(A)/cos(A) to find tan(A) in q

Paladinen [302]

In quadrant IV, $\cos(A)$ is positive. So

$\sin^2(A) + \cos^2(A) = 1 \implies \cos(A) = \sqrt{1-\sin^2(A)} \approx 0.6258$

Then by the definition of tangent,

$\tan(A) = \dfrac{\sin(A)}{\cos(A)} \approx \dfrac{-0.78}{0.6258} \approx \boxed{-1.2465}$

5 0

2 years ago

125 I will mark branliest if right<br> x 35<br> ₋₋₋₋₋₋₋₋₋₋₋₋₋<br> + ₋₋₋₋₋₋₋₋₋₋₋₋₋<br> ₋₋₋₋₋₋₋₋₋₋₋₋₋

Mariana [72]

Answer:

125

× 35

_________

625

375

_______

4 375

+ 35

_______

4400

Step-by-step explanation:

sana maka tulong

3 0

3 years ago

*WILL MARK BRAINLIEST!!!!!!*

Nuetrik [128]

Answer:

y=1

Step-by-step explanation:

The value of y where the function is undefined

7 0

3 years ago

0.32 with the 2 repeating as a fraction

pashok25 [27]

Answer:

29/90

Step-by-step explanation:

Use the formula:

((DN x F) - NRP)/D

DN = Decimal Number

F = 10 if one repeating number, 100 if two repeating numbers, 1000 if three repeating numbers, etc.

NRP = Non-repeating part of decimal number.

D = 9 if one repeating number, 99 if two repeating numbers, 999 if three repeating numbers, etc.

((0.32 x 10) - 0.3)/9

= 2.9/9 = 29/90

3 0

2 years ago