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2 years ago

PLEASE EXPLAIN HOW TO DO THIS

Mathematics

1 answer:

aleksandr82 [10.1K]2 years ago

8 0

The volume of any rectangular prism is length*width*height.

Based on the diagram:
length: 9km
width: 9km
height: 3km

9*9*3=243 km^3 (aka answer choice B)

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Po is an oncologist with seven patients in their care. the probability that a patient will survive five years after being diagno

alekssr [168]

Answer:

0.0923 = 9.23% probability that four of the patients are still alive after five years.

Step-by-step explanation:

For each patient, there are only two possible outcomes. Either they are still alive after five years, or they are not. The probability of a patient being alive is independent of any other patient, which means that the binomial probability distribution is used 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.

Po is an oncologist with seven patients in their care.

This means that $n = 7$

The probability that a patient will survive five years after being diagnosed with stage three breast cancer is 0.82.

This means that $p = 0.82$

What is the probability that four of the patients are still alive after five years?

This is P(X = 4). So

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

$P(X = 4) = C_{7,4}.(0.82)^{4}.(0.18)^{3} = 0.0923$

0.0923 = 9.23% probability that four of the patients are still alive after five years.

5 0

3 years ago

A paper clip weighs about 10−3 kilograms. A draft horse weighs about 103 kilograms. How many orders of magnitude as heavy is a d

dedylja [7]

38387474848484848484

8 0

3 years ago

The length of a side of a cube can be determined

seraphim [82]

Answer:

Side of cube = 4 cm

Step-by-step explanation:

Given:

Volume of cube = 64 cm³

Find:

Side of cube

Computation:

Volume of cube = side³

64 = side³

Side of cube = 4 cm

8 0

3 years ago

Pay your bills: In a large sample of customer accounts, a utility company determined that the average number of days between whe

blagie [28]

Answer:

(26.32; 57.68)

See explanation below.

Step-by-step explanation:

Assuming the following question:

Pay your bills:

In a large sample of customer accounts, a utility company determined that the average number of days between when a bill was sent out and when the payment was made is 42 with a standard deviation of 8 days. Assume the data to be approximately bell-shaped.

Between what two values will approximately 95% of the numbers of days be?

Solution to the problem

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".

Let X the random variable that represent the average number of days between when a bill was sent out and when the payment of a population, and for this case we know the distribution for X is given by:

$X \sim N(42,8)$

Where $\mu=42$ and $\sigma=8$

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

$P(X>a)=0.975$ (a)

$P(X$ (b)

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

As we can see on the figure attached the z value that satisfy the condition with 0.025 of the area on the left and 0.975 of the area on the right it's z=-1.96. On this case P(Z<-1.96)=0.025 and P(z>-1.96)=0.975

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

$P(X$

$P(z$

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

$z=-1.96$

And if we solve for a we got

$a=42 -1.96*8=26.32$

So the value of height that separates the bottom 2.5% of data from the top 97.5% is 26.32.

For the other value since the distirbution is symmetric the other value that accumulates 0.975 of the area on the left and 0.025 on the right is z=1.96 and similarly:

$z=1.96$

And if we solve for a we got

$a=42 +1.96*8=57.68$

So the answer for this case would be (26.32; 57.68)

3 0

3 years ago

The value of 7 rounded to the nearest hundredth

erma4kov [3.2K]

Answer: 9.22

Step-by-step explanation:

2^2 + 9^2 = C^2

4+81=C^2

85=C^2

(square root both sides)

C=9.219544

C=9.22

3 0

3 years ago