1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Setler79 [48]
3 years ago
11

PLEASE HELP

Mathematics
2 answers:
snow_lady [41]3 years ago
8 0

Answer:

1. 17 to 12, 17:12, 17/12

2. 1 to 9, 1:9, 1/9

3. one fifth, two tenths and three over fifteen

4. 3/4 or 3 to 4 or 3:4

Step-by-step explanation:

1. To write a ratio between x and y, in this order, we use the three forms :

  • x to y
  • x:y
  • x/y

Then, if a zoo has 17 monkeys and 12 chimpanzees the relationships are:

17 to 12, 17:12, 17/12

2. The relationship is between 1 home for every 9 homes. The 4 televisions doesn't matter, that's just the description.  Then, the ratios are:

1 to 9, 1:9, 1/9

3. We want three ratios equal to 7/35. Dividing numerator and denominator by 7 we get: 1/5 (one fifth). Multiplying this result by 2, we get: two tenths;  and multiplying it by 3, we get: three over fifteen

4.  The ratio between Number of tickets Jeanne sold (21) and the number of tickets Jack sold (28) is: 21/28, Dividing numerator and denominator by 7 we get: 3/4

elixir [45]3 years ago
6 0

Answer:

Ratio states that it shows the relative sizes of two or more values.

i,e a to b or a: b or \frac{a}{b}

(1)

Given the statement: A zoo has 17 monkeys and 12 chimpanzees

Write this situation in three ways, comparing the first quantity to the second quantity.

By definition of ratio:

Ratio in three ways are:

17 to 12

17 : 12

\frac{17}{12} or we can write this as 17 over 12.

therefore, Option B is correct.

(2)

As per the statement: In Largo City, about one in every nine homes contains four televisions

Write this situation in three ways in the form of ratio, comparing the first quantity to the second quantity.

By definition of ratio:

Ratio in three ways are:

4 to 9

4 : 9

\frac{4}{9}

therefore, only options C is correct.

(3)

write three ratios for 7 over 35

By definition of ratio;

We have;

\frac{7}{35}

Divide both numerator and denominator by 7 we have;

\frac{1}{5}               .....[A]

⇒ \frac{7}{35} =\frac{1}{5}

Multiply both numerator and denominator by 2 in A we get;

\frac{1}{5} = \frac{1 \times 2}{5 \times 2} = \frac{1}{10}

Similarly,

Multiply both numerator and denominator by 3 in A, we get

\frac{1}{5} = \frac{1 \times 3}{5 \times 3} = \frac{3}{15}

Therefore, 3 ratios equal to  7 over 35 are;

\frac{1}{5} or we can write it as one-fifth

\frac{2}{10} or two -tenths

\frac{3}{15} or three over fifteen

hence, Option D is correct.

(4)

Given the statement: Jake sold 28 tickets to the school fair, and Jeanne sold 21 tickets

Number of ticket Jake sold = 28 ticket.

Number of ticket Jeanne sold = 21 ticket.

To find: Number of ticket Jeanne sold to number of ticket Jake sold.

By definition of ratio

⇒\frac{21}{28}

Therefore, the ratio in simplest form is, \frac{21}{28}


You might be interested in
Find the percent of discount for $70 discounted to $63. Round to the nearest percent.
aksik [14]
70 x P = 63
P=63/70 = 0.9
Since P is 1-the discount
1-discount= 0.9
discount is 0.1, or 10 %
5 0
3 years ago
Isle Royale, an island in Lake Superior, has provided an important study site of wolves and their prey. Of special interest is t
STatiana [176]

Answer:

<em>Part a) Probability that a moose in that age group is killed by a wolf</em>

  • P  (0.5 year) = 0.361
  • P (1 - 5) = 0.159
  • P (6 - 10) = 0.267
  • P (11 - 15) = 0.203
  • P (16 - 20) = 0.010

<em>Part b)</em>

  • <em>Expected age of a moose killed by a wold</em>

         μ = 5.61 years

  • <em>Stantard deviation of the ages</em>

       σ = 4.97 years

Explanation:

1) Start by arranging the table to interpret the information:

<u>Age of Moose in years          Number killed by woolves</u>

Calf (0.5)                                                 107

1 - 5                                                           47

6 - 10                                                         79

11 - 15                                                        60

16 - 20                                                        3

You can  now verify the total number of moose deaths identified as wolf kills: 107 + 47 + 79 + 60 + 3 = 296, such as stated in the first part of the question.

2) <u>First question: </u>a) For each age, group, compute the probability that a moos in that age group is killed by a wolf.

i) Formula:

Probability = number of positive outcomes / total number of events.

ii) Probability that a moose in an age group is killed by a wolf = number of moose killed by a wolf in that age group / total number of moose deaths identified as wolf kills.

iii) P  (0.5 year) = 107 / 296 = 0.361

iv) P (1 - 5) = 47 / 296 = 0.159

v) P (6 - 10) = 79 / 296 = 0.267

vi) P (11 - 15) = 60 / 296 = 0.203

vii) P (16 - 20) = 3 / 296 = 0.010

3) <u>Second question:</u> b) Consider all ages in a class equal to the class midpoint. Find the expected age of a moose killed by a wolf and the standard deviation of the ages.

i) Class       midpoint

   0.5               0.5

   1 - 5           (1 + 5) / 2 = 3

   6 - 10         (6 + 10) / 2 = 8

   11 - 15         (11 + 15) / 2 = 13

   16 - 20       (16 + 20) = 18

ii) Expected age of a moose killed by a wolf = mean of the distribution = μ

μ = Sum of the products of each probability times its age (mid point)

μ = 0.5 ( 0.361) + 3 ( 0.159) + 8 ( 0.267) + 13 ( 0.203) + 18 ( 0.010) = 5.61 years

μ = 5.61 years ← answer

iii) Stantard deviation of the ages = σ

σ = square root of the variace

variance = s = sum of the products of the squares of the differences between the mean and the class midpoint time the probability.

s =  (0.5 - 5.61)² (0.361) + (3 - 5.61)² ( 0.159) + (8  - 5.61)² ( 0.267) + (13 - 5.61)² ( 0.203) + (18 - 5.61)² ( 0.010) = 24.65

σ = √ (24.65) = 4.97 years ← answer

7 0
2 years ago
Please help you guys, Look at the picture attached
Nookie1986 [14]

Answer:

Step-by-step explanation:

if (x,y) is the centroid. Then x=(x1+x2+x3)/3,y=(y1+y2+y3)/3

5.

x=(-2+4+10)/3=4

y=(6+0+6)/3=4

centroid=(4,4)

6.

x=(3+5-2)/3=2

y=(3-1+1)/3=1

centroid=(2,1)

8 0
2 years ago
Find the slope given two points<br> (6,9)<br> (3,0)
Serggg [28]

Answer:

3

Step-by-step explanation:

4 0
2 years ago
Without computing each sum, find which is greater, O or E, and by how much.
Ratling [72]
O=3+5+7+9+\cdots+105
O=(2+1)+(4+1)+(6+1)+(8+1)+\cdots+(104+1)
O=(2+4+6+8+\cdots+104)+n

where n is the numbers of 1s, which is the same as the number of terms being summed in either O or E. It's easy to see what that number is from E; factoring a 2 from each term, you end up adding up the consecutive integers between 1 and 52, so n=52.

So O>E, and O=E+52\implies O-E=52.
4 0
3 years ago
Other questions:
  • What is the simplified form of 4√3-√27?
    5·1 answer
  • Hono Golf is a manufacturer of golf products in Taiwan and China. One of the golf accessories it produces at its plant in Tainan
    7·1 answer
  • a graphic designer wants to know the number of regions that are formed when circles overlap in particular. can she find a rule t
    13·1 answer
  • Alyssa divides a granola bar into halves. How many equal parts are there?
    15·1 answer
  • Verify the identity
    14·1 answer
  • If a box has a length of 12 inches, a width of 10 inches and a height of 6 inches, what is the surface area?
    9·2 answers
  • What is the slope of the line??? Please help!
    12·1 answer
  • Pls help I’ll brainlest due ASAP
    13·2 answers
  • Evaluate the variable expression using the given values for the variable.
    10·1 answer
  • Is this is correct? I’m confused you can help me at the last one to if you want
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!