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2 years ago

IF THE ODDS AGAINST A PARTICULAR CANDIDATE WINNING AN ELECTION ARE 9

Mathematics

1 answer:

ss7ja [257]2 years ago

5 0

The probability that the candidate will win is P = 0.357

<h3>How to find the probability?</h3>

We know that the odds against the particular candidate are 9 to 5.

The the odds for the candidate are 5 to 9, this means that in 5 cases the candidate will win, and in 9 cases the candidate will lose.

Then the candidate wins in 5 out of 14 cases, then the probability that the particular candidate wins the elections is given by the quotient:

P = 5/14 = 0.357

The probability that the candidate will win is P = 0.357

If you want to learn more about probability:

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Melissa and Madeline love pepperoni pizza, but sometimes they are disappointed with the small number of pepperonis on their pizz

Vilka [71]

Answer:

(31.919,42.881)

Step-by-step explanation:

7 0

3 years ago

Given that a 90% confidence interval for the mean height of all adult males in Idaho measured in inches was [62.532, 76.478]. Us

grigory [225]

Answer:

The confidence interval on this case is given by:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

$\bar X = \frac{62.532+76.478}{2}= 69.505$

So then the mean for this case is 69.505

Step-by-step explanation:

Previous concepts

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

$\bar X$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma$ represent the population standard deviation

n represent the sample size

Assuming the X follows a normal distribution

$X \sim N(\mu, \sigma)$

The confidence interval on this case is given by:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

$\bar X = \frac{62.532+76.478}{2}= 69.505$

So then the mean for this case is 69.505

5 0

3 years ago

Can you please answer this

jasenka [17]

Answer:

Sum angle of triangle BHD = 180°

36 + 39 + BHD = 180

BHD = 180 - 36 - 39

= 105°

BHD + x° = 180° (straight angle)

105° + x° = 180°

x = 180 - 105

= 75°

4 0

3 years ago

Round 0.42 to the nearst tenth

Archy [21]

0.4 because if it’s five or more, add one more. If it’s four or less, let it rest.

4 0

3 years ago

Which situation best shows causation?

dangina [55]

A cause and effect relationship exist between two variables, when one

variable event is made to happen by the other variable.

The situation which best shows causation is option <u>B) The amount of time a </u>

<u>cell phone is used affects the charge of the battery</u>.

Reasons:

Causation is the condition in which the occurrence of an event is caused by

or contributed to by another event. Such that the incident or observation

identified as the cause is responsible for the event, while the the

occurrence of the event depends on the cause being put in place.

Option A) A rectangle of a given width can have different dimensions of length

Option C) Milkshakes and ice cream bars can have different customer base, such that the number of milkshake and ice cream bars sold can be equal

Option D) The balls used in a soccer match are provided by the officials of the game

Therefore;

The situation which shows causation is B) <u>The amount of time a cell phone is used affects the charge of the battery</u>.

The option is correct because, a cell phone is powered by battery, and

therefore, the more the cell phone is used, the battery power is used up

and therefore, the charge on the battery is reduced.

Learn more here:

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3 0

3 years ago