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densk [106]
3 years ago
7

The size of a playground is 160 feet by 360 feet. A model is created that measures 4 inches by 9 inches. Is it a rate, ratio onl

y or a proportion?
Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
3 0

Answer:

The model is made in a<u> 1:40 ratio </u>

Step-by-step explanation:

How many times is 4 multiplied to be equal to 160?

4(x) = 160

X = 160 / 4

<u>X = 40</u>

The proportion, rate, and ratio are almost the same.

They represent the correspondence between the parts and the whole since they all express a binary relationship between the quantities, that is, objects, people, tablespoons.

If the ratio is 1: 2 it could be read that for every 1 there are 2.

For example 1: 2 cups; For every cup of something there are 2 cups of something else.

In this case, 1:40; For every inch of the model, there are 40 feet in the playground.

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The expected number of typographical errors on a page of a certain magazine is .2. What is the probability that an article of 10
Pavel [41]

Answer:

a) The probability that an article of 10 pages contains 0 typographical errors is 0.8187.

b) The probability that an article of 10 pages contains 2 or more typographical errors is 0.0175.

Step-by-step explanation:

Given : The expected number of typographical errors on a page of a certain magazine is 0.2.

To find : What is the probability that an article of 10 pages contains

(a) 0 and (b) 2 or more typographical errors?

Solution :

Applying Poisson distribution,

N\sim Pois(0.2)

P(N=r)=\frac{e^{-np}(np)^r}{r!}

where, n is the number of words in a page

and p is the probability of every word with typographical errors.

Here, n=10 and E(N)=np=0.2

a) The probability that an article of 10 pages contains 0 typographical errors.

Substitute r=0 in formula,

P(N=0)=\frac{e^{-0.2}(0.2)^0}{0!}

P(N=0)=\frac{e^{-0.2}}{1}

P(N=0)=e^{-0.2}

P(N=0)=0.8187

The probability that an article of 10 pages contains 0 typographical errors is 0.8187.

b) The probability that an article of 10 pages contains 2 or more typographical errors.

Substitute r\geq 2 in formula,

P(N\geq 2)=1-P(N

P(N\geq 2)=1-[P(N=0)+P(N=1)]

P(N\geq 2)=1-[\frac{e^{-0.2}(0.2)^0}{0!}+\frac{e^{-0.2}(0.2)^1}{1!}]

P(N\geq 2)=1-[e^{-0.2}+e^{-0.2}(0.2)]

P(N\geq 2)=1-[0.8187+0.1637]

P(N\geq 2)=1-0.9825

P(N\geq 2)=0.0175

The probability that an article of 10 pages contains 2 or more typographical errors is 0.0175.

6 0
3 years ago
4 - (-3) simplify the expression
mario62 [17]

Answer:

7

Step-by-step explanation:

4-(-3)=4+3 (negative times negative is positive)

4+3=7

Hope that helps!

6 0
3 years ago
Read 2 more answers
Michaels basketball team practiced for 2 hours 40 minutes yesterday and 3 hours 15 minutes today. How much longer did the team p
Elden [556K]
They practiced 35 minutes longer than yesterday :)
4 0
3 years ago
Read 2 more answers
Suppose that you have 7 green cards and 5 yellow cards. The cards are well shuffled. You randomly draw two cards without replace
wlad13 [49]

Answer:

a. 7/22

b. 28/33

c. 7/22

d. dependent events

Step-by-step explanation:

The total number of cards is given as 7 + 5 = 12.

The probability if a card being green on the first pick, P(G) =  7/12

The probability of a card being yellow on the first pick, P(Y) = 5/12

Because there is no replacement, the card are going to be short by one card. Therefore, the second pick will be like this:

P(GG)  = ( 7/12×6/11)

P(GY) = ( 7/12 × 5/11)

P(YG) = ( 5/12×7/11)

P(RR) = ( 5/12 ×4/11)

a. P (G1 and G2) = ( 7/12×6/11)

                          = 7/22

b. P( At least one is green) = ( 7/12×6/11) +  ( 7/12 × 5/11) + ( 5/12×7/11)

                           = 28/33

c. P(G2G1)           = 7/22

d. the events are dependent. They do not give the same result.

6 0
3 years ago
If 1/2 is subtracted from four times the reciprocal of a number, the result is 0. Find the number.
Maurinko [17]

Answer:

The Number is 8.

Step-by-step explanation:

Let the number be x.

Given:

1/2 is subtracted from four times the reciprocal of a number, the result is 0.

Hence the equation will become like;

4\times \frac{1}{x} - \frac{1}{2}=0

Now Solving the equation we get.

\frac{4}{x} -\frac{1}{2}=0\\\\\frac{4}{x} = \frac{1}{2}\\\\x= 4\times 2\\x=8

Now the we can see the number is 8, when 1/2 is subtracted from 4 times the reciprocal of number means 4/8 which becomes 1/2 and hence when 1/2 is subtracted from 1/2 it equals to 0.

Hence the number is 8.

8 0
2 years ago
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