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Reil [10]
3 years ago
12

Local population doubles every 6 days. If initial population is 100, how many people will there be in 10 days? 15?

Mathematics
1 answer:
Marianna [84]3 years ago
4 0
Every 6days it doubles
10days = 200
15days =400
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Use complete sentences to describe why Set A = {x|x is an even whole number between 0 and 2} = ∅.
dolphi86 [110]

Answer:

*1 month later*

Step-by-step explanation:

5 0
2 years ago
A self proclaimed psychic was tested for ESP. The psychic was presented with 200 cards face down and asked to determine if the c
swat32

Answer:

The 95% confidence interval would be given (0.172;0.288).  

We are confident at 95% that the true probability that the psychic correctly identifies the symbol on the card in a random trial is between (0.172;0.288).  

We can conclude that her random guessing would have got her correct 20% of the time. Since the confidence interval contains 0.2, she has no psychic powers, rather she just guessed it like normal people. Any person could have got it correct this many times.

Step-by-step explanation:

Previous concepts

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".  

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".  

Description in words of the parameter p

p represent the probability that the psychic correctly identifies the symbol on the card in a random trial

\hat p represent the estimated probability that the psychic correctly identifies the symbol on the card in a random trial

n=200 is the sample size required  

z_{\alpha/2} represent the critical value for the margin of error  

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Numerical estimate for p

In order to estimate a proportion we use this formula:

\hat p =\frac{X}{n} where X represent the cases successful

\hat p=\frac{46}{200}=0.23 represent the estimated probability that the psychic correctly identifies the symbol on the card in a random trial

Confidence interval

The confidence interval for a proportion is given by this formula:

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}  

For the 95% confidence interval the value of \alpha=1-0.95=0.05 and \alpha/2=0.025, with that value we can find the quantile required for the interval in the normal standard distribution.  

z_{\alpha/2}=1.96  

And replacing into the confidence interval formula we got:  

0.23 - 1.96 \sqrt{\frac{0.23(1-0.23)}{200}}=0.172  

0.23 + 1.96 \sqrt{\frac{0.23(1-0.23)}{200}}=0.288  

And the 95% confidence interval would be given (0.172;0.288).

We are confident at 95% that the true probability that the psychic correctly identifies the symbol on the card in a random trial is between (0.172;0.288).  

We can conclude that her random guessing would have got her correct 20% of the time. Since the confidence interval contains 0.2, she has no psychic powers, rather she just guessed it like normal people. Any person could have got it correct this many times.

6 0
3 years ago
Trigonometry
Alla [95]

90° is equal to  \frac{\pi}{2} or 1.5707 radians.

Step-by-step explanation:

Step 1:

If an angle is represented in degrees, it will be of the form x°.  

If an angle is represented in radians, it will be of the form \frac{\pi}{x} radians.

To convert degrees to radians, we multiply the degree measure by \frac{\pi}{180}.

For the conversion of degrees to radians,

the degrees in radians = (given value in degrees)(\frac{\pi}{180}).

Step 2:

To convert 90°,

90 (\frac{\pi}{180} ) = \frac{\pi}{2}.

0.5 \pi = 1.5707 radians.

So 90° is equal to \frac{\pi}{2} or 1.5707 radians.

3 0
3 years ago
Find the y - intercept of y=3x+15 and then interpret it
oksian1 [2.3K]

Answer:

The y-intercept to the given line equation y=3x+15 is (0,15).

Step-by-step explanation:

Given line equation is y=3x+15

To find the y-intercept from the given line equation y=3x+15:

y-intercept when x=0

That is substitute x=0 in the given line equation

 y=3x+15

y=3(0)+15

y=0+15

y=15

Therefore y=5

The point (0,15) on the graph where the line y is intersected is y-intercept.

In other words y-intercept is the point (0,15) where the given line equation y=3x+15 crosses the y-axis.

Therefore the y-intercept to the given line equation y=3x+15 is (0,15).

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3 years ago
What’s the product of -4ab and 6b
mote1985 [20]
-24ab^2

Is the answer

Hope this helps.
7 0
2 years ago
Read 2 more answers
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