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aliina [53]
3 years ago
14

Is 3z-1 in standard form?

Mathematics
1 answer:
babunello [35]3 years ago
7 0

Answer:

Yes because

Step-by-step explanation:

Is 3z-1 in standard form?

Yes becausestandard form of a polynomial, the value in the power of the variable such as z in the equation reduces from left to right. Therefore, 3z - 1 is in standard form since the z term comes to the left of the constant term

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At least 96.00​% of the data in any data set lie within how many standard deviations of the​ mean? Explain how you arrived at yo
zheka24 [161]

The answer assumes that the question is about the <em>normal distribution</em>.

Answer:

96% of the data in any data set <em>normally distributed</em> is 2.05 <em>standard deviations</em> <em>above</em> and <em>below</em> the mean.

Step-by-step explanation:

The key to solving this question is having into account that exists the <em>standard normal distribution</em> that permits obtaining any probability from any normally distributed data, doing the following transformation:

\\ z = \frac{x-\mu}{\sigma}

That is, in this case, we subtract a given value <em>x</em> from the <em>population mean</em> and then divide the result by the <em>population standard deviation</em>. This is a z-score, and this value is associated with the probability for a <em>standard normal distribution</em>, with a population mean = 0 and population standard deviation = 1.

Fortunately, for the <em>standard normal distribution</em>, there is associated a ubiquitous <em>standard normal table</em> for possible values of <em>z</em> and the corresponding probability. Then, knowing that the data are <em>normally distributed</em> and having both distribution <em>parameters</em>, namely, the <em>population mean</em> and <em>population standard deviation</em>, we can consult any standard normal table to find the probabilities for any data distributed following the normal distribution.

However, even without previously know the values of the normal parameters, the standard normal distribution can tell us how many standard deviations from the mean are 96.00% of the data for every normally distributed population.

<h3>Solving the question</h3>

Having all this information at hand, we know that <em>the z-score value tells us how many standard deviations</em> <em>from the mean</em> are the data normally distributed. As a result, we can determine how many standard deviations below and above the population mean represent the 96.00% of the cases for this normal distribution consulting a <em>cumulative standard normal table from the mean</em>.

If we divide 96.00/2 = 48, that is, 0.48, we need to find the z-score for this probability consulting a <em>cumulative standard normal table from the mean</em>. The values for a z-score for that probability is z=2.05, approximately. So, since the normal distribution is also symmetrical, those values are above and below the mean, that is, z =2.05 (above) and z=-2.05(below).

Thus, 96% of the data in any data set normally distributed is 2.05 <em>standard deviations</em> <em>above</em> and <em>below</em> the mean.  

 

5 0
3 years ago
What is the probability of p(2 of spades)
serious [3.7K]

Answer:

<h2><u><em>**Please rate brainliest and vote 5 and give thanks**</em></u></h2>

Step-by-step explanation:

● A standard deck of cards has:

● 52 Cards in 13 values and 4 suits

● Suits are Spades, Clubs, Diamonds

and Hearts

● Each suit has 13 card values:

2-10, 3 “face cards” Jack, Queen, King (J, Q, K)

and and Ace (A)

Basic Card Probabilities

● If you draw a card at random, what is the

probability you get:

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● A Face card? P(Face Card)=12/52 (or simply 3/13)

● A Red Ace? P(Red Ace) = 2/52

6 0
3 years ago
Write a sentence that shows the commutative property of multiplication
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The commutative property of multiplication states that the order of multiplication of numbers does not matter.

Number Sentence:

2 * 3  =  3 * 2  =  6


7 0
3 years ago
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3x greater than or equal to 20
3x = 20
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3(7)=21
4 0
2 years ago
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What is question a, b, c, d, e, and f? Thank you!
frosja888 [35]

Step-by-step explanation:

a. f(-4)= 2

b. f(0) = 0

c. f(3) = -1.8

d. f(-5) = 0

e. f(x) = -2 => x = 2

f. f(x) = 0 => x = 0 or -5

6 0
2 years ago
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