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Dafna1 [17]
3 years ago
11

There are two decks of playing cards.

Mathematics
1 answer:
IrinaVladis [17]3 years ago
8 0
A) (1 x 4) + (1 x 4) = 8

There are 8 possible combinations

B) RH:RD:RC:RS:BH:BD:BC:BS


Hope this helps and have a nice day!
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Assume that blood pressure readings are normally distributed with a mean of 115 and a standard deviation of 8. If 100 people are
Sergeu [11.5K]

Answer:

D. 0.9938.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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.

Mean of 115 and a standard deviation of 8.

This means that \mu = 115, \sigma = 8

100 people are randomly selected

This means that n = 100, s = \frac{8}{\sqrt{100}} = 0.8

Find the probability that their mean blood pressure will be less than 117.

This is the p-value of Z when X = 117, so:

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

By the Central Limit Theorem

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

Z = \frac{117 - 115}{0.8}

Z = 2.5

Z = 2.5 has a p-value of 0.9938, and thus, the correct answer is given by option D.

8 0
3 years ago
Is f(x) = 2x – 3 a function
vesna_86 [32]

Answer: yes

Step-by-step explanation:

If you graph the function on desmos or a graphing calculator, you will see that it passes the vertical line test.

The graph is a function when no one x value has two y values, this is why we use the vertical line text to see if the graph is a function.

3 0
3 years ago
What negative value of x makes the<br> equation | 4x + 6 = 2x + 27 true?
Alex Ar [27]

Answer:

do multiple choice

Step-by-step explanation:

3 0
2 years ago
A four-sided figure is resized to create a scaled copy. The lengths of its four
sp2606 [1]

Answer:

trust your instincts

Step-by-step explanation:

i will not let you decide your destiny on your own

7 0
3 years ago
Lengths of Rectangles
Furkat [3]

Answer:

AB = 5

BC = 12

AC = 13

Step-by-step explanation:

A rectangle is a quadrilateral and therefore, opposite sides are parallel and congruent to each other. Thus:

AB = CD = 12

AB = 12

BC = AD = 5

BC = 5

AC is a diagonal of the rectangle, use Pythagorean theorem to find it's length as follows:

AC² = AD² + CD²

Plug in the values

AC² = 5² + 12²

AC² = 169

AC = √169

AC = 13

6 0
3 years ago
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