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KengaRu [80]
4 years ago
8

Given a mean of 43.8 and a standard deviation of 8.7 what is the z score of the value 40

Mathematics
2 answers:
DanielleElmas [232]4 years ago
8 0
z=\dfrac{40-43.8}{8.7}\approx-0.4368
lana [24]4 years ago
4 0

Answer:

-0.44

Step-by-step explanation:

Given a mean of 43.8 and a standard deviation of 8.7

z-score =\frac{x-mean}{standard deviation}

mean = 43.8

standard deviation = 8.7

now plug in the values of mean and standard deviation

x= 40

z-score =\frac{40-43.8}{8.7}

z-score =\frac{-3.8}{8.7}

z-score = -0.44

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pashok25 [27]

Answer:

AX=XF

4y+3=2y+7

4y-2y=7-3

2y=4

y=2

then,

AX=4y+3

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=11

3 0
3 years ago
SEAGULLS A biologist studying seagulls estimates that 5% of the seagulls in a flock have been banded. If 22 of the seagulls have
mina [271]

Answer:

440 seagulls

Step-by-step explanation:

Total number of seagulls in flock = Number of seagulls have banded / Percentage of seagulls have banded

Total number of seagulls in flock = 22 / 5%

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2 years ago
In a given year, the population of Metro City is 7420, and the population is decreasing by 152 people per year. The population o
Anit [1.1K]

Answer:

The correct option is D.

Step-by-step explanation:

Let <em>x</em> denote the years.

The information provided is:

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  • The population of Smallville is consistently 1200 less than half of Metro City.

From the provided data derive the equation for the population of Smallville <em>x</em> years after as follows:

Y = [\frac{1}{2}\cdot (7420-152x)]-1200

The population of Smallville is 2282 after <em>x</em> years.

Compute the value of <em>x</em> as follows:

2282= [\frac{1}{2}\cdot (7420-152x)]-1200

\frac{7420-152x}{2}=2282+1200\\\\7420-152x=3482\times 2\\\\152x=7420-6964\\\\152x=456\\\\x=3

Thus, the time it will take for Smallville's population to reach 2282 is 3 years.

The correct option is D.

7 0
3 years ago
Yuan has 5 quarts of broth. He uses 1/2 of the broth to make soup. Then, he uses 1/4 of the broth he has left to make gravy.
vovangra [49]

Answer:

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Step-by-step explanation:

The amount Yuan has left can be found by multiplying the original amount by the fraction he has left.

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<h3>used</h3>

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  1 -1/2 = 1/2

The amount Yuan used for gravy is 1/4 of this, or ...

  (1/4)(1/2) = 1/8 . . . of the original amount of broth

The total fraction Yuan used was ...

  fraction used = fraction for soup + fraction for broth = 1/2 +1/8 = 5/8

<h3>remaining</h3>

Then the fraction remaining is ...

  fraction remaining = 1 - fraction used = 1 - 5/8 = 3/8.

The amount remaining is this fraction of the original amount:

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7 0
2 years ago
Every integer is an irrational number.<br><br> True<br><br> False
Westkost [7]

Answer: true

Step-by-step explanation:

6 0
3 years ago
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