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In the following exercises, simplify

3 4 ( 15.44 7.4 )

6.03

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2 5 · 9 10 + 0.14

−0.22

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Find the Circumference and Area of Circles

In the following exercises, approximate the circumference and area of each circle.

radius = 3.5 ft.

  1. 21.98 ft.
  2. 38.465 sq.ft.

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diameter = 11 cm

  1. 34.54 cm
  2. 379.94 sq.cm

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Solve Equations with Decimals

Determine Whether a Decimal is a Solution of an Equation

In the following exercises, determine whether the each number is a solution of the given equation.

x 0.4 = 2.1 x = 1.7 x = 2.5

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y + 3.2 = −1.5 y = 1.7 y = −4.7

  1. no
  2. yes

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u 2.5 = −12.5 u = −5 u = −31.25

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0.45 v = −40.5 v = −18.225 v = −90

  1. no
  2. yes

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Solve Equations with Decimals

In the following exercises, solve.

h + 5.91 = 2.4

h = −3.51

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p 4.3 = −1.65

p = 2.65

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j 7.42 = −3.7

j = 3.72

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−8.6 x = 34.4

x = −4

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a 0.3 = −24

a = −7.2

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Translate to an Equation and Solve

In the following exercises, translate and solve.

The difference of n and 15.2 is 4.4 .

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The product of −5.9 and x is −3.54 .

−5.9 x = −3.54; x = 0.6

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The quotient of y and −1.8 is −9 .

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The sum of m and −4.03 is 6.8 .

m + (−4.03) = 6.8; m = 0.83

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Averages and Probability

Find the Mean of a Set of Numbers

In the following exercises, find the mean of the numbers.

2 , 4 , 1 , 0 , 1 , and 1

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$270 , $310.50 , $243.75 , and $252.15

$269.10

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Each workday last week, Yoshie kept track of the number of minutes she had to wait for the bus. She waited 3 , 0 , 8 , 1 , and 8 minutes. Find the mean

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In the last three months, Raul’s water bills were $31.45 , $48.76 , and $42.60 . Find the mean.

$40.94

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Find the Median of a Set of Numbers

In the following exercises, find the median.

25 , 23 , 24 , 26 , 29 , 19 , 18 , 32

24.5

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The ages of the eight men in Jerry’s model train club are 52 , 63 , 45 , 51 , 55 , 75 , 60 , and 59 . Find the median age.

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The number of clients at Miranda’s beauty salon each weekday last week were 18 , 7 , 12 , 16 , and 20 . Find the median number of clients.

16 clients

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Find the Mode of a Set of Numbers

In the following exercises, identify the mode of the numbers.

6 , 4 , 4 , 5 , 6 , 6 , 4 , 4 , 4 , 3 , 5

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The number of siblings of a group of students: 2 , 0 , 3 , 2 , 4 , 1 , 6 , 5 , 4 , 1 , 2 , 3

2

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Use the Basic Definition of Probability

In the following exercises, solve. (Round decimals to three places.)

The Sustainability Club sells 200 tickets to a raffle, and Albert buys one ticket. One ticket will be selected at random to win the grand prize. Find the probability Albert will win the grand prize. Express your answer as a fraction and as a decimal.

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Luc has to read 3 novels and 12 short stories for his literature class. The professor will choose one reading at random for the final exam. Find the probability that the professor will choose a novel for the final exam. Express your answer as a fraction and as a decimal.

1 5 ; 0.2

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Ratios and Rate

Write a Ratio as a Fraction

In the following exercises, write each ratio as a fraction. Simplify the answer if possible.

Write a Rate as a Fraction

In the following exercises, write each rate as a fraction. Simplify the answer if possible.

Questions & Answers

what is microbiology
Agebe Reply
What is a cell
Odelana Reply
what is cell
Mohammed
how does Neisseria cause meningitis
Nyibol Reply
what is microbiologist
Muhammad Reply
what is errata
Muhammad
is the branch of biology that deals with the study of microorganisms.
Ntefuni Reply
What is microbiology
Mercy Reply
studies of microbes
Louisiaste
when we takee the specimen which lumbar,spin,
Ziyad Reply
How bacteria create energy to survive?
Muhamad Reply
Bacteria doesn't produce energy they are dependent upon their substrate in case of lack of nutrients they are able to make spores which helps them to sustain in harsh environments
_Adnan
But not all bacteria make spores, l mean Eukaryotic cells have Mitochondria which acts as powerhouse for them, since bacteria don't have it, what is the substitution for it?
Muhamad
they make spores
Louisiaste
what is sporadic nd endemic, epidemic
Aminu Reply
the significance of food webs for disease transmission
Abreham
food webs brings about an infection as an individual depends on number of diseased foods or carriers dully.
Mark
explain assimilatory nitrate reduction
Esinniobiwa Reply
Assimilatory nitrate reduction is a process that occurs in some microorganisms, such as bacteria and archaea, in which nitrate (NO3-) is reduced to nitrite (NO2-), and then further reduced to ammonia (NH3).
Elkana
This process is called assimilatory nitrate reduction because the nitrogen that is produced is incorporated in the cells of microorganisms where it can be used in the synthesis of amino acids and other nitrogen products
Elkana
Examples of thermophilic organisms
Shu Reply
Give Examples of thermophilic organisms
Shu
advantages of normal Flora to the host
Micheal Reply
Prevent foreign microbes to the host
Abubakar
they provide healthier benefits to their hosts
ayesha
They are friends to host only when Host immune system is strong and become enemies when the host immune system is weakened . very bad relationship!
Mark
what is cell
faisal Reply
cell is the smallest unit of life
Fauziya
cell is the smallest unit of life
Akanni
ok
Innocent
cell is the structural and functional unit of life
Hasan
is the fundamental units of Life
Musa
what are emergency diseases
Micheal Reply
There are nothing like emergency disease but there are some common medical emergency which can occur simultaneously like Bleeding,heart attack,Breathing difficulties,severe pain heart stock.Hope you will get my point .Have a nice day ❣️
_Adnan
define infection ,prevention and control
Innocent
I think infection prevention and control is the avoidance of all things we do that gives out break of infections and promotion of health practices that promote life
Lubega
Heyy Lubega hussein where are u from?
_Adnan
en français
Adama
which site have a normal flora
ESTHER Reply
Many sites of the body have it Skin Nasal cavity Oral cavity Gastro intestinal tract
Safaa
skin
Asiina
skin,Oral,Nasal,GIt
Sadik
How can Commensal can Bacteria change into pathogen?
Sadik
How can Commensal Bacteria change into pathogen?
Sadik
all
Tesfaye
by fussion
Asiina
what are the advantages of normal Flora to the host
Micheal
what are the ways of control and prevention of nosocomial infection in the hospital
Micheal
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Source:  OpenStax, Prealgebra. OpenStax CNX. Jul 15, 2016 Download for free at http://legacy.cnx.org/content/col11756/1.9
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