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AleksandrR [38]
3 years ago
8

I'll give brainliest to whoever answers. 20 POINTS!!!

Mathematics
2 answers:
chubhunter [2.5K]3 years ago
5 0

Answer:

A

Step-by-step explanation:

kaheart [24]3 years ago
4 0

Answer:

A is your answer

Step-by-step explanation:

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A survey is being conducted in a county where 62% of the voters are Democrats and 38% are Republican. (a) What is the probabilit
Inessa05 [86]

Answer:

0.3844 = 38.44% probability that two independently surveyed voters would both be Democrats

Step-by-step explanation:

For each voter, there are only two possible outcomes. Either the voter is a Democrat, or he is not. The probability of the voter being a Democrat is independent of other voters. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

62% of the voters are Democrats

This means that p = 0.62

(a) What is the probability that two independently surveyed voters would both be Democrats?

This is P(X = 2) when n = 2. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{2,2}.(0.62)^{2}.(0.38)^{0} = 0.3844

0.3844 = 38.44% probability that two independently surveyed voters would both be Democrats

3 0
3 years ago
"What impact can a very large volcanic eruption have on earth's climate?" 1. It will warm the earth's surface as more lava is re
Ludmilka [50]

The impact of a very large volcanic eruption that have an effect on earth's climate is <u>It will cool the earth's surface as radiation from the sun is blocked from entering the atmosphere.</u>

<u />

Explanation:

A very large volcanic eruption will spew tonnes of fine dust particles (pyroclast) into the atmosphere. These particles will be spread over large area by wind and the particles will remain suspended in the air for longer periods before they settle on the earth's surface.

The suspended particles will block the sun, and by reflecting most of the sunlight before it reaches the earth’s surface, will cause the surface temperatures to drop.  

This same phenomenon caused the demise of dinosaurs after a meteorite strike threw dust particles into the atmosphere that lingered for a long time smothering plant life too.

4 0
3 years ago
As the number of degrees of freedom for a t distribution increases. True or False
valkas [14]

Answer:

t distribution behaves like standard normal distribution as the number of freedom increases.

Step-by-step explanation:

The question is missing. I will give a general information on t distribution.

t-distribution is used instead of  normal distribution when the <em>sample size is small (usually smaller than 30) </em>or <em>population standard deviation is unknown</em>.

Degrees of freedom is the number of values in a sample that are free to vary. As the number of degrees of freedom for a t-distribution increases, the distribution looks more like normal distribution and follows the same characteristics.

7 0
4 years ago
The price of a video game system dropped by 18%. What is the current price if it used to be $140?
IgorC [24]

Answer:

$114.80

Step-by-step explanation:

Multiply 18% and 140 to find the drop price.

.18 x 140= $25.20  now subtr. this from the original price

$140.00-$25.20=$114.80 is the sale price

4 0
2 years ago
Which expression is equivalent to
Natalka [10]

Answer:

A and b

Step-by-step explanation: Because ....

7 0
3 years ago
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