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Alenkasestr [34]
2 years ago
13

Make k the subject for 3t = 7k/13 - 17 and 7k = 4k/3t - 11t

Mathematics
1 answer:
andrew11 [14]2 years ago
5 0
3t = \frac{7k}{13} - 17 \\3t(1\frac{6}{7}) = 1\frac{6}{7}(\frac{7k}{13} - 17) \\5\frac{4}{7}t = k - 31\frac{4}{7} \\\frac{-k}{-1} = \frac{-5\frac{4}{7} - 31\frac{4}{7}}{-1} \\k = 5\frac{4}{7} + 31\frac{4}{7}

\frac{7k}{7} = \frac{\frac{4k}{3t} - 11t}{7} \\k = \frac{4k}{21t} - 1\frac{4}{7}
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Please help!
AfilCa [17]

Answer:

a.) P(HH|C)=2/5

Explanation:

Given following:

  • P(HH) = 7
  • P(C) = 10
  • P(HH ∩ C) = 4
  • P(HH ∪ C) = 13

Solving steps:

\sf P(HH|C) = \dfrac{P(HH \cap C) }{P(C)}

\sf P(HH|C) = \dfrac{4 }{10}

\sf P(HH|C) = \dfrac{2 }{5}

8 0
1 year ago
Write the standard form of an equation of an ellipse subject to the given conditions.
irina [24]

Answer:

The answer is below

Step-by-step explanation:

The standard form of the equation of an ellipse with major axis on the y axis is given as:

\frac{(x-h)^2}{b^2} +\frac{(y-k)^2}{a^2} =1

Where (h, k) is the center of the ellipse, (h, k ± a) is the major axis, (h ± b, k) is the minor axis, (h, k ± c) is the foci and c² = a² - b²

Since the minor axis is at (37,0) and (-37,0), hence k = 0, h = 0 and b = 37

Also, the foci is at (0,5) and (0, -5), therefore c = 5

Using c² = a² - b²:

5² = a² - 37²

a² = 37² + 5² = 1369 + 25

a² = 1394

Therefore the equation of the ellipse is:

\frac{x^2}{1369}+ \frac{y^2}{1394} =1

6 0
2 years ago
A game consists of drawing two tiles from a jar containing 3 red and 4 green marbles. What is the probability that at least one
Len [333]

Answer:

The probability of that at least one marble is drawn is 2/7

Step-by-step explanation:

1/7+ 1/7=2/7

4 0
3 years ago
What possible transforms are shown below?
Maurinko [17]

Answer:

1. A rotation of 90°.

2. A reflection in the y-axis.

4. A translation of 3 units to the left.

5 0
2 years ago
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Savatey [412]
6 girls would need to join for the ratio to be the same
5 0
3 years ago
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