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1 year ago

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the probability of serena serving an ace in tennis is 0.15, and the probability that she double faults is 0.25. (note that you c

annot both ace and double fault at the same time.) what is the probability that serena does not serve an ace or a double fault?

1 answer:

harkovskaia [24]1 year ago

6 0

The probability that Serena does not serve an ace or a double fault is 0.6, when the probability of Serena serving an ace in tennis is 0.15, and the probability that she double faults is 0.25.

<h3>Define probability.</h3>

The formula of the favorable outcome over the total outcomes is used to describe probability. The likelihood of flipping a coin heads is one example. Given that there is only one head and two total sides, 50% of the time, a head will land up-side-down.

Given,

Serve tennis probability = 0.15

No ace probability = 1-0.15

No ace probability = 0.85

Double fault probability = 0.25

No double fault probability = 1-0.25 = 0.75

No double fault probability = 0.75

The probability of not receiving an Ace or Double Fault: is

= 0.75 ×0.85

= 0.6.

The probability that Serena does not serve an ace or a double fault is 0.6.

To learn more about probability, visit:

brainly.com/question/11234923

#SPJ4

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If each tricycle has 3 wheels and 1 seat, the ratio of seats:wheels is 1:3.

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Solving a system of equation <br> x+5y=15 <br> -3x+2y=6

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Answer:

(0,3)

y=3

x=0

Step-by-step explanation:

x+5y=15

-3x+2y=6

solve the equation

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substitute the value of x into an equation

-3(15-5y)+2y=6

distribute

-45-15y+2y=6

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-45-17y=6

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2 years ago

1. Iris has two ribbons. The first ribbon is 11.7 in. long. The second ribbon is 5.25 in. long. She wants to cut them so that th

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3 years ago

Lines k and n intersect on the y-axis

avanturin [10]

a) The equation of line k is:

$y = -\frac{202}{167}x + \frac{598}{167}$

b) The equation of line j is:

$y = \frac{167}{202}x + \frac{1546}{202}$

The equation of a line, in <u>slope-intercept formula</u>, is given by:

$y = mx + b$

In which:

m is the slope, which is the rate of change.
b is the y-intercept, which is the value of y when x = 0.

Item a:

Line k intersects line m with an angle of 109º, thus:

$\tan{109^{\circ}} = \frac{m_2 - m_1}{1 + m_1m_2}$

In which $m_1$ and $m_2$ are the slopes of <u>k and m.</u>

Line k goes through points (-3,-1) and (5,2), thus, it's slope is:

$m_1 = \frac{2 - (-1)}{5 - (-3)} = \frac{3}{8}$

The tangent of 109 degrees is $\tan{109^{\circ}} = -\frac{29}{10}$
Thus, the slope of line m is found solving the following equation:

$\tan{109^{\circ}} = \frac{m_2 - m_1}{1 + m_1m_2}$

$-\frac{29}{10} = \frac{m_2 - \frac{3}{8}}{1 + \frac{3}{8}m_2}$

$m_2 - \frac{3}{8} = -\frac{29}{10} - \frac{87}{80}m_2$

$m_2 + \frac{87}{80}m_2 = -\frac{29}{10} + \frac{3}{8}$

$\frac{167m_2}{80} = \frac{-202}{80}$

$m_2 = -\frac{202}{167}$

Thus:

$y = -\frac{202}{167}x + b$

It goes through point (-2,6), that is, when $x = -2, y = 6$ , and this is used to find b.

$y = -\frac{202}{167}x + b$

$6 = -\frac{202}{167}(-2) + b$

$b = 6 - \frac{404}{167}$

$b = \frac{6(167)-404}{167}$

$b = \frac{598}{167}$

Thus. the equation of line k, in slope-intercept formula, is:

$y = -\frac{202}{167}x + \frac{598}{167}$

Item b:

Lines j and k intersect at an angle of 90º, thus they are perpendicular, which means that the multiplication of their slopes is -1.

Thus, the slope of line j is:

$-\frac{202}{167}m = -1$

$m = \frac{167}{202}$

Then

$y = \frac{167}{202}x + b$

Also goes through point (-2,6), thus:

$6 = \frac{167}{202}(-2) + b$

$b = \frac{(2)167 + 202(6)}{202}$

$b = \frac{1546}{202}$

The equation of line j is:

$y = \frac{167}{202}x + \frac{1546}{202}$

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