MATHEMATICS COLLEGE

There were 2,626,418 deaths in 2014 according to the CDC. 614,348 of these deaths were caused by diseases of the heart and 136,053 were caused by unintentional injuries. What is the probability that a death in 2014 was not caused by diseases of the heart or unintentional injuries

Answers

Answer 1

Answer:

= 0.714 (in decimal fraction)

The probability that the death in 2014 was not caused by heart diseases or Unintentional Injuries = 0.714

= 0.714

Step-by-step explanation:

Let's interpret the question our way ti solve it .

Total deaths in 2014:

2626418

Death caused by Heart Diseases:

614348

Death caused by Unintentional Injuries:

750401

Therefore, we can deduced that, the number of death not caused by Heart Diseases or Unintentional Injuries = Total deaths in 2014 minus sum of the recorded death.

= 2626418 - ( 614348 + 136053)

= 2626418 - 750401

= 1876017.

Now, the probability that there were death in 2014 is 1 (one)

To find the probability that death we're not caused by heart diseases or Unintentional Injuries:

= 1 - Pr (Death Caused by heart diseases) + Pr (Death causes by Unintentional Injuries)

= 1 - (0.234 + 0.052)

= 1 - 0.286

= 0.714

To Check:

= 1876017 / 2626418

Divide to the lowest term

=0.714

Answer 2

Answer:

The probability that a death in 2014 was not caused by diseases of the heart or unintentional injuries is approximately 0.714 or 71.4%.

Here, we have to find the probability that a death in 2014 was not caused by diseases of the heart or unintentional injuries, we need to subtract the number of deaths caused by these two specific causes from the total number of deaths and then divide it by the total number of deaths.

Total number of deaths in 2014: 2,626,418

Number of deaths caused by diseases of the heart: 614,348

Number of deaths caused by unintentional injuries: 136,053

Number of deaths not caused by diseases of the heart or unintentional injuries = Total deaths - Deaths caused by diseases of the heart - Deaths caused by unintentional injuries

Number of deaths not caused by diseases of the heart or unintentional injuries = 2,626,418 - 614,348 - 136,053

Number of deaths not caused by diseases of the heart or unintentional injuries = 1,876,017

Now, we can calculate the probability:

Probability = Number of deaths not caused by diseases of the heart or unintentional injuries / Total number of deaths

Probability = 1,876,017 / 2,626,418

Probability ≈ 0.714 (rounded to three decimal places)

So, the probability that a death in 2014 was not caused by diseases of the heart or unintentional injuries is approximately 0.714 or 71.4%.

To learn more on probability click:

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The number of bacteria at the beginning of an experiment was 30 and the bacteria grow at an hourly rate of 1.4 percent. Using the model given by () = 0e, estimate the number of bacteria, rounded to the nearest whole number after 20 hours.

Answers

Answer:

The estimated number of bacteria after 20 hours is 40.

Step-by-step explanation:

This is a case where a geometrical progression is reported, which is a particular case of exponential growth and is defined by the following formula:

$n(t) = n_(o)\cdot \left(1+(r)/(100) \right)^(t)$ (1)

Where:

$n_(o)$ - Initial number of bacteria, dimensionless.

$r$ - Increase growth of the experiment, expressed in percentage.

$t$ - Time, measured in hours.

$n(t)$ - Current number of bacteria, dimensionless.

If we know that $n_(o) = 30$ , $r = 1.4$ and $t = 20\,h$ , then the number of bacteria after 20 hours is:

$n(t) = 30\cdot \left(1+(1.4)/(100) \right)^(20)$

$n(t) \approx 39.616$

$n(t) = 40$

The estimated number of bacteria after 20 hours is 40.

The daily high temperature in Chicago for the month of August is approximately normal with mean 78 degrees F, and standard deviation 9 degrees F. a. What is the probability that a randomly selected day in August will have a high temperature greater than the mean daily high temperature of 78 degrees F?
b. What is the percentile for a day in August with a high temperature of 75 degrees F?
c. What is the 75th percentile for the daily high temperature for the month of August?
d. What is the interquartile range for the daily high temperature for the month of August?

Answers

Answer:

a) $P(X>78) = P(Z> (78-78)/(9)) = P(Z>0)= 0.5$

b) $P(X<75)= P(Z< (75-78)/(9)) = P(Z<-0.333) = 0.370$

So then 75 F correspond to approximately the 37 percentile

c) $z=0.674<(a-78)/(9)$

And if we solve for a we got

$a=78 +0.674*9=84.07$

So the value of height that separates the bottom 75% of data from the top 25% is 84.07 F.

d) $IQR = 84.07-71.93= 12.14$

See explanation below.

Step-by-step explanation:

Previous concepts

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".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the daily high temperature in Chicago for the month of August of a population, and for this case we know the distribution for X is given by:

$X \sim N(78,9)$

Where $\mu=78$ and $\sigma=9$

We are interested on this probability

$P(X>78)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=(x-\mu)/(\sigma)$

Using the z score we got:

$P(X>78) = P(Z> (78-78)/(9)) = P(Z>0)= 0.5$

Part b

For this case we can find the percentile with the following probability:

$P(X<75)$

If we use the z score formula we got:

$P(X<75)= P(Z< (75-78)/(9)) = P(Z<-0.333) = 0.370$

So then 75 F correspond to approximately the 37 percentile

Part c

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.25$ (a)

$P(X<a)=0.75$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.75 of the area on the left and 0.25 of the area on the right it's z=0.674. On this case P(Z<0.674)=0.75 and P(z>0.674)=0.25

If we use condition (b) from previous we have this:

$P(X<a)=P((X-\mu)/(\sigma)<(a-\mu)/(\sigma))=0.75$

$P(z<(a-\mu)/(\sigma))=0.75$

But we know which value of z satisfy the previous equation so then we can do this:

$z=0.674<(a-78)/(9)$

And if we solve for a we got

$a=78 +0.674*9=84.07$

So the value of height that separates the bottom 75% of data from the top 25% is 84.07 F.

Part d

For this case we know that $IQR = Q_3 - Q_1 = P_(75)-P_(25)$

So then we just need to find the percentile 25.

$P(X>a)=0.25$ (a)

$P(X<a)=0.75$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.25 of the area on the left and 0.75 of the area on the right it's z=-0.674. On this case P(Z<-0.674)=0.25 and P(z>-0.674)=0.75

If we use condition (b) from previous we have this:

$P(X<a)=P((X-\mu)/(\sigma)<(a-\mu)/(\sigma))=0.25$

$P(z<(a-\mu)/(\sigma))=0.25$

But we know which value of z satisfy the previous equation so then we can do this:

$z=-0.674<(a-78)/(9)$

And if we solve for a we got

$a=78 -0.674*9=71.93$

So the value of height that separates the bottom 25% of data from the top 75% is 71.93 F.

So then the interquartile range would be:

$IQR = 84.07-71.93= 12.14$

What is 2 times 2..

Answers

Answer:

Step-by-step explanation:

2x2=4.

Answer:

1,000,000,000 JK its 4

2+2=4

so...

2x2=4

Which equation can be used to solve for x in the following diagram?

Answers

Answer:

x + (4x-85) = 90

Step-by-step explanation:

The two angles are complementary which means they add to 90 degrees

x + (4x-85) = 90

Answer: A

Step-by-step explanation:

Both angles are makes a right angle which adds up to 90 degrees so they both have to add up to 90 degrees.

Please help my math question. I'll be giving brainly.DO NOT, PUT RANDOM ANSWERS, YOU HAVE BEEN WARNED.

Answers

Answer:

Step-by-step explanation:

angle a = angle s

amr and msr are similar triangles

Answer:

Simple question!

Step-by-step explanation:

I'm never challenged in school, could you send me your hw each day?

Email ivaliu2008+outlook.com

Also, what grade are you?

Thanks!

9. Solve for x: 2x – y = (3/4)x + 6.

Answers

Answer:

x = 4(y + 6)/5

Step-by-step explanation:

2x - y = (3/4)x + 6

2x - (3/4)x = y + 6

(8x - 3x)/4 = y + 6

5x/4 = y + 6

5x = 4(y + 6)

5x = 4y + 24

x = (4y + 24)/5

Therefore, x = 4(y + 6)/5

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