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3 years ago

Spinning a roulette wheel 6 times, keeping track of the occurrences of a winning number of "16". Select one:

Mathematics

1 answer:

Yuki888 [10]3 years ago

5 0

Spinning a roulette wheel 6 times, keeping track of the occurrences of a winning number of "16". Select one:

Answer: The correct option is d. Procedure results in a binomial distribution.

Explanation: The binomial distribution should follow the below assumptions

The given random experiment has fixed number of trials. Here in the given random experiment there are 6 trials.

There are only two outcomes, labelled as "winning" and "losing". The probability of outcome "winning" is the same across the fixed trials. Here in the given example, we have an experiment, which has only two outcomes, either winning or losing. Also, the probability of winning across all the six trials.

The trials are independent. Here in the given experiment each trial is independent of other trial.

From the above consideration, we can clearly say that the given procedure follows binomial distribution.

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What is the maximum height of of Anna's golf ball? The equation is y=x−0.04x2.

elena-s [515]

Given:

The height of a golf ball is represented by the equation:

$y=x-0.04x^2$

To find:

The maximum height of of Anna's golf ball.

Solution:

We have,

$y=x-0.04x^2$

Differentiate with respect to x.

$y'=1-0.04(2x)$

$y'=1-0.08x$

For critical values, $y'=0$ .

$1-0.08x=0$

$-0.08x=-1$

$x=\dfrac{-1}{-0.08}$

$x=12.5$

Differentiate y' with respect to x.

$y''=(0)-0.08(1)$

$y''=-0.08$

Since double derivative is negative, the function is maximum at $x=12.5$ .

Substitute $x=12.5$ in the given equation to get the maximum height.

$y=(12.5)-0.04(12.5)^2$

$y=12.5-0.04(156.25)$

$y=12.5-6.25$

$y=6.25$

Therefore, the maximum height of of Anna's golf ball is 6.25 units.

7 0

3 years ago

Frank purchased a new ice box having 2kg capacity. He wants it to be full with ice cubes. He measured the ice cubes to be 3.5 cm

salantis [7]

Answer:

Frank can put 5 cubes in the box.

Step-by-step explanation:

Formula:

Mass = Volume × density.

1 cubic centimetre = 0.001 liter= 1 millilitre

Given that,

Frank purchase a new ice box having 2 kg capacity.

So,the mass of the cubes is 2 kg.

Each ice cubes measured 3.5 cm by 3.5 cm by 3.5 cm.

The volume of a cube is = $Side ^3$

The volume of a each ice cubes is = $3.5^3$ cm³

= 42.875 ml

The ice cubes have a density of 0.914 g/ml

The mass of each cubes are

=volume of each ice cubes × density

=42.875 ml ×0.914 g/ml

=39.18775 gram.

Let x number of ice cubes he can put in the box.

The mass of x cubes is = 39.18775x grams.

2 kg= 2,000 gram [ since 1 kg= 1000 gram]

According to the problem,

39.18775x=2,000

$\Rightarrow x=\frac{2000}{39.18775}$

$\Rightarrow x\approx 51$

Frank can put 5 cubes in the box.

5 0

3 years ago

1)4-2(x + 19) = 50<br> 2)7(x-3)-14=70

zalisa [80]

2x+38=50
2x+38-38=50 -38
2x =12
2x/2 =12/2
x=6

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3 years ago

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What is the distance between (-2 1/2, -3) and (1, -3)

Igoryamba

Answer:

Step-by-step explanation:

(-2 1/2, -3) = (-5/2 , -3) & (1, -3)

$Distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\ =\sqrt{(1-[\frac{-5}{2}])^{2}+(-3-[-3])^{2}}\\\\ =\sqrt{(1+\frac{5}{2})^{2}+(-3+3)^{2}}\\\\ =\sqrt{(\frac{7}{2})^{2}} \\\\=\frac{7}{2}\\\\=3\frac{1}{2}$

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3 years ago

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Maylin and Nina are making fruit baskets. They have 36 apples, 27 bananas, and 18 oranges. They want each basket to contain the

vlada-n [284]

Answer:Nina

Step-by-step explanation:

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3 years ago