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Vinvika [58]
3 years ago
8

Is 4.5 a rational number

Mathematics
2 answers:
SVEN [57.7K]3 years ago
8 0

Answer: I think so

Step-by-step explanation: I hope this helps you!! If not I'm so sorry

andriy [413]3 years ago
7 0

Answer:

yes 4.5 is rational number

Step-by-step explanation: it is 40/10 hope this helps :)

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Assume that females have pulse rates that are normally distributed with a mean of beats per minute and a standard deviation of b
snow_tiger [21]

Answer:

a) This is the p-value of Z when X = A subtracted by the p-value of Z when X = B.

b) P-value of Z when X = 76 subtracted by the p-value of X = 68.

c) Because the underlying distribution(pulse rates of females) is normal.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

Mean \mu, standard deviation \sigma.

standard deviation of beats per minute.

a. If 1 adult female is randomly​ selected, find the probability that her pulse rate is between A beats per minute and B beats per minute.

This is the p-value of Z when X = A subtracted by the p-value of Z when X = B.

b. If 4 adult females are selected, find the probability that they have pulse rates with a mean between 68 beats per minute and 76 beats per minute.

Sample of 4 means that we have n = 4, s = \frac{\sigma}{\sqrt{4}} = 0.5\sigma

The formula for the z-score is:

Z = \frac{X - \mu}{\sigma}

Z = \frac{X - \mu}{0.5\sigma}

Z = 2\frac{X - \mu}{\sigma}

This probability is the p-value of Z when X = 76 subtracted by the p-value of X = 68.

c. Why can the normal distribution be used in heartbeat even the sample side does not exceed 30?

Because the underlying distribution(pulse rates of females) is normal.

3 0
2 years ago
Using two step equation how do I solve 16= (x + 3)^2
stellarik [79]

Answer:

x=1.-7

Step-by-step explanation:

4 0
3 years ago
What is the solution to the system of equations that is graphed below?
iren [92.7K]

Answer:

5 - -3..... i think

Step-by-step explanation:

8 0
3 years ago
Name the property the equation illustrates. 8 + 5.3 = 5.3 + 8
VMariaS [17]
The answer to the question is letter "D. Commutative Property of Addition". The property states that if there are two numbers which we may represent by a and b, the value of a + b is equal to the value of b + a. The given, 8 + 5.3 = 5.3 + 8 is an example of this property.
5 0
2 years ago
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One number is 8 more than another number, and their sum is 20. Find the numbers.
melomori [17]

Answer:

First number=6

Second number=14

Step-by-step explanation:

Let the first number be x

So the second number is x+8

So the sum of the two is

X+x+8=20

2x+8=20

2x=20-8

2x=12

X=12/2

=6

The second number will x+8

So 6+8=14

First number=6

Second number=14

6 0
3 years ago
Read 2 more answers
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