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mojhsa [17]
3 years ago
5

The time it takes to complete a test is

Mathematics
1 answer:
astra-53 [7]3 years ago
8 0

Answer:

<h2>The z-score is -3.08, approximately.</h2>

Step-by-step explanation:

The z-score is defined

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

Where \mu is the mean, \sigma is the standard deviation and x the data value.

In this case, we have

x=8\\\mu = 45\\\sigma=12

Replacing values, we have

Z=\frac{8-45}{12}=\frac{-37}{12} \approx -3.08

Therefore, the z-score is -3.08, approximately.

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28. sylvia researched changes in the deer population in her state's parks during her lifetime
kifflom [539]

Using an exponential function, it is found that it will take 24 years for the current population of 4800 deer to reduce to 600.

<h3>What is an exponential function?</h3>

An exponential function is modeled by:

y = ab^x

In which:

  • a is the initial value.
  • b is the rate of change, as a decimal.

In this problem, considering the initial value of 4800, and that the population halves every 8 years, the equation is given by:

A(t) = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}

The population will be of 600 when A(t) = 600, hence:

A(t) = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}

600 = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}

\left(\frac{1}{2}\right)^{\frac{t}{8}} = \frac{600}{4800}

\left(\frac{1}{2}\right)^{\frac{t}{8}} = \frac{1}{8}

\left(\frac{1}{2}\right)^{\frac{t}{8}} = \left(\frac{1}{2}\right)^3

Hence:

t/8 = 3.

t = 24.

It will take 24 years for the current population of 4800 deer to reduce to 600.

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

3 0
1 year ago
Anca a citit 375 de pagini dintr-o carte. În fiecare zi, începând cu a doua zi, ea a citit cu 5 pagini mai mult decât în ziua pr
prohojiy [21]

Answer:

a=65

Step-by-step explanation:

Avem 375 pagini

Notam cu a numaruide pagini

In prima zi avem-a, poi a doua zi-a+5, a treia-a+10, apatra-a+

15 si a cincea zi avem-a+20

Le adunam si egalam cu 375

5a=50=375

5a=325

a=65

8 0
3 years ago
In the figure YAZ = BAC by angle side angle which angles are congruent by CPCTC
Gelneren [198K]

Answer:

Step-by-step explanation

3 0
3 years ago
HELP PLEASE DUE IN 4 MINUTES
iragen [17]

Answer:

Mode: 11

Median: 11

Step-by-step explanation:

mode is number that shows up the most

Arrange numbers in order :

7 8 9 10 11 11 12 13 18

number physically in the middle is median

5 0
2 years ago
Read 2 more answers
−3(x + 3) = −3(x + 1) − 5
love history [14]
You have to simplify and then get x
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2 years ago
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