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3 years ago

Bowlers that score at least 228 points will make it to the next round. {Let p = the number of points}

Mathematics

1 answer:

miss Akunina [59]3 years ago

4 0

Answer:

p is less than or equal to 228

Step-by-step explanation:

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Assume that the poisson distribution applies and that the mean number of hurricanes in a certain area is 7.2 per year.

SCORPION-xisa [38]

Part A:

The poisson distribution is given by

$P(x;\mu)=e^{-\mu}\cdot \frac{\mu^x}{x!}$

Thus, given that <span>the mean number of hurricanes in a certain area is 7.2 per year.

The </span><span>probability that, in a year, there will be 6 hurricanes is given by

</span> $P(6;7.2)=e^{-7.2}\cdot \frac{7.2^6}{6!} \\ \\ =0.000747\times \frac{139314.0695}{720} \\ \\ =0.000747\times193.492 \\ \\ =0.1445$

Part B:

<span>In a 45-year period, the number of years that are expected to have 6 hurricanes is given by 0.1445 x 45 = 6.5 years.

Part C:

The poisson distribution worked here because, the observed value of the number of years that hurricanes occurred in a 45 year period which is 6 is very close to the calculated value which is 6.5</span>

4 0

4 years ago

Express the complex number in trigonometric form.<br><br> -6 + 6\sqrt(3) i

horrorfan [7]

Answer:

Step-by-step explanation:

The rectangular form of a complex number is expressed as z = x+iy

where the modulus |r| = $\sqrt{x^{2}+y^{2}$ and the argument $\theta = tan^{-1}\frac{y}{x}$

In polar form, x = $rcos\theta \ and\ y = rsin\theta$

$z = rcos\theta+i(rsin\theta)\\z = r(cos\theta+isin\theta)$

Given the complex number, $z = -6+6\sqrt{3} i$ . To express in trigonometric form, we need to get the modulus and argument of the complex number.

$r = \sqrt{(-6)^{2}+(6\sqrt{3} )^{2}}\\r = \sqrt{36+(36*3)} \\r = \sqrt{144}\\ r = 12$

For the argument;

$\theta = tan^{-1} \frac{6\sqrt{3} }{-6} \\\theta = tan^{-1}-\sqrt{3} \\\theta = -60^{0}$

Since tan is negative in the 2nd and 4th quadrant, in the 2nd quadrant,

$\theta =180-60\\\theta = 120^{0}$

z = 12(cos120°+isin120°)

This gives the required expression.

4 0

4 years ago

What is the measure of

Arturiano [62]

Answer:

Step-by-step explanation:

As BA = BC, this is an isosceles triangle and the angles adjacent the equal length legs are also identical.

∠C = ∠A = 56°

B = 180 - 2(56) = 68°

7 0

3 years ago

Read 2 more answers

What is the slope of the line that passes through the points (-10, 9) and (-12, 7)

Iteru [2.4K]

$\text{Given that,}~~\\\\(x_1, y_1) = (-10,9)~~\text{and}~~ (x_2,y_2) = (-12,7)\\\\\\\text{Slope,}~~ m = \dfrac{y_2 - y_1}{x_2 -x_1}= \dfrac{7-9}{-12+10} =\dfrac{-2}{-2} = 1$

6 0

2 years ago

A bag contains 4 green marbles and 5 white marbles. Suppose a marble is randomly selected. What are the odds in favor of picking

Misha Larkins [42]

The answer would be 5 to 9. There are nine marbles overall and there are five white marbles. If you put the overall number of marbles second and the amount of that color of marbles first, you get D.

8 0

3 years ago