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fomenos
2 years ago
9

The number 0.6064 represents the area under the standard normal curve below a particular z-score. What is the Z-score? Can you p

lease show me how this question works and to express the answer as a decimal to the nearest hundredth. Thanks
Mathematics
2 answers:
Rudiy272 years ago
4 0
P(z < x) = 0.6064 - 0.5 = 0.1064

From the normal distribution table
P(z < 0.27) = 0.1064

Therefore the z-score is 0.27


SashulF [63]2 years ago
4 0

Answer:

z=0.27

Step-by-step explanation:

Let x represent the z-score.

We have been given that the The number 0.6064 represents the area under the standard normal curve below a particular z-score.

Since the area under normal distribution curve that corresponds to our z-score is 0.6064, so we can set an equation as:

P(z

From normal distribution table we get,

P(z

Since the area 0.6064 under normal distribution corresponds to z-score of 0.27, therefore, our z-score s 0.27.

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After an hour (4pm to 5pm) the temperature drops 18e⁻⁰˙⁶=9.9℉, so the temperature after an hour will be 68-9.9=58.1℉.
(The change -18e⁻⁰˙⁶ is negative indicating a drop in temperature.)
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2 years ago
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A sample of bacteria is growing at a rate of 8% per hour compound continuously. How many hours will it take for the sample to do
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Answer:

The sample would double in 9 hours

Step-by-step explanation

The number of hours it will take for the sample to double can be found using the 72 rule.

The 72 rule is such that a growth rate would double itself by it is used in dividing the number 72 as shown below:

number of hours =72/8=9 hours

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6 0
2 years ago
A row of tiny red beads is placed at the beginning and at the end of a 20‐centimeter bookmark.
AlladinOne [14]

Answer:

51 rows

Step-by-step explanation:

Given

Length of bookmark = 20cm

Distance between beads = 4mm

Required

Number of rows of beads

First, the distance between the rows of beads must be converted to cm

if 1mm = 0.1cm

then

4mm = 4*0.1cm

4mm = 0.4 cm

This means that each row of beads is placed at 0.4 cm mark.

The distance between each row follows an arithmetic progression and it can be solved as follows;

T_n = a + (n-1)d

Where Tn = 20cm (The last term)

a = 0 cm (The first term)

d = 0.4cm (The distance between each row of beads)

n = ?? (number of rows)

Solving for n; we have the following;

T_n = a + (n-1)d becomes

20 = 0 + (n-1)0.4

20 =  (n-1)0.4

DIvide both sides by 0.4

\frac{20}{0.4} =  \frac{(n-1)0.4}{0.4}

50 =  (n-1)

50 =  n-1

Add 1 to both sides

50 + 1=  n-1 + 1

n = 51

Hence, the number of rows of beads is 51

4 0
2 years ago
Jacob has a bag of his favorite marbles. It has 3 red marbles, 4 blue, and 10 of his most favorite color, neon orange. What is t
drek231 [11]

Answer:

P(1\ and\ 2) = 0.3309

Step-by-step explanation:

Given

Red = 3

Blue = 4

Orange=10

Required

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Total = Red + Blue + Orange

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Because it is a selection without replacement, the number of orange marbles and the total number of marbles would decrease by 1, respectively.

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P(2) = \frac{9}{16}

The required probability is:

P(1\ and\ 2) = P(1) * P(2)

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P(1\ and\ 2) = \frac{90}{272}

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7 0
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600-28(w)=300
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~approximately 10 weeks
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