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Oliga [24]
3 years ago
11

A company logo is a red parallelogram. A large version of the logo is painted on a rectangular billboard that has a base of 10 f

eet and a height of 6 feet. The logo has a base of 7 feet and a height of 4 feet. The rest of the billboard is blue. What percentage of the billboard’s area is red?
help
Mathematics
2 answers:
irakobra [83]3 years ago
8 0

the percentage = area(parallelogram)/area(rectangle).100

so

percent = (4.7)/(6.10).100 = 140/3= 46.6

asambeis [7]3 years ago
3 0

Answer:

Step-by-step explanation

  • number           Unit                   Description
  • 10                     Feet                  base of billboard
  • 6                       Feet                  height of billboard
  • 4                       Feet                  height of logo
  • 7                       Feet                   base of logo
  • unknown         percentage      percentage of area that is red

why is write an equation a good strategy for solving this problem= An equation can be used to calculate the unkown value from givin information

Choose the sentence that describes how the quantities in the problem are related =The percentage of the total area that is red is 100 times the ratio of the logos area to the entire billboards area.

Use the button below to build an equation with words and symbols =  base of logo x height of logo/base of billboard x height of billboard

select the best explanation of solution = The percentage of the billboard that is red is 46.67%

Which statement best explains why your solution is reasonable = The logos area is 28 sq ft and the billboards area is 60 sq ft. 28 is a little less than half of 60. 46.67%is a little less than half or 50% so its reasonable.

which statement best explains why write an equation was an effective strategy for solving this problem =  My equation showed how the unkown can be calculated from the numbers in the problem.

Hope This HELPS!!!!

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Step-by-step explanation:

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3 0
3 years ago
Find the value of the trigonometric ratio. make sure to simplify the fraction if needed
kati45 [8]

Answer:

Sin A = o/h

= 9/41

Step-by-step explanation:

since Sin is equal to opposite over hypotenuse, from the question, the opposite angle of A is 9 and hypotenuse angle of A is 41. Thus the answer for Sin A= 9/41

6 0
3 years ago
Tanya is printing a report. There are 100 sheets of paper in the printer, and the number of sheets p after t minutes of printing
BARSIC [14]

Answer:

0=-8t + 100

8t=100

t=12.5 minutes

Step-by-step explanation:

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brainly.com/question/5881676

7 0
3 years ago
According to a study done by Nick Wilson of Otago University Wellington, the probability a randomly selected individual will not
Lorico [155]

Answer and Step-by-step explanation:

From the question statement we get know that it is Binomial distribution because there are only two possible outcomes so we need to use Binomial Probability Distribution for this question.

Formula for the Binomial Probability Distribution:

P(X)=   p^x q^(n-x)

Where,

  • C_x^n=n!/(n-x)!x!   (i.e. combination)
  • x= total number of successes
  • p=probability of success (p=1-q)  
  • q=probability of failure (q=1-p)
  • n=number of trials
  • P(X)= probability of total number of successes

Answer and explanation for each part of the question are as follow:

a.What is the probability that among 10 randomly observed individuals exactly 4 do not cover their mouth when sneezing?

Solution:

Given that

n=10  

p=0.267 (because p is the probability of success which is “number of individuals not covering their mouths when sneezing” in the question)

q=1-0.267=0.733  

x=4 (number of successes i.e. individuals not covering their mouths)

C_x^n=n!/(n-x)!x!=10!/(10-4)!4!=210

P(X)=C_x^n   p^x q^(n-x)=210×〖(0.267)〗^4×〖0.733〗^(10-4)

P(X)=210×0.00508×0.155  

P(X)=0.165465  

b. What is the probability that among 10 randomly observed individuals fewer than 3 do not cover their mouth when sneezing?

Solution:

Given that

n=10  

p=0.267 (because p is the probability of success which is “number of individuals not covering their mouths when sneezing” in the question)

q=1-0.267=0.733  

x=3 (number of successes i.e. individuals not covering their mouths)

C_x^n=n!/(n-x)!x!=10!/(10-3)!3!=120

P(X)=C_x^n   p^x q^(n-x)=120×(0.267)^3×〖0.733〗^(10-3)

P(X)=120×0.01903×0.1136  

P(X)=0.25962  

c. Would you be surprised if, after observing 18 individuals, fewer than half covered their mouth when sneezing? why?

Solution:

Given that

n=18  

p=0.267 (because p is the probability of success which is “number of individuals not covering their mouths when sneezing” in the question)

q=1-0.267=0.733  

x=9 (x is the number of successes “number of individuals not covering their mouths when sneezing”, if less than half cover their mouth then more than half will not cover), so let x=9

C_x^n=n!/(n-x)!x!=18!/(18-9)!9!=48620

P(X)=48620×(0.267)^9×〖0.733〗^(18-9)  

P(X)=48620×0.00000689×0.0610  

P(X)=0.020  

Yes, I am surprised that probability of less than 9 individuals covering their mouth when sneezing is 0.020. Which is extremely is small.

3 0
3 years ago
10% of 65 pls help and explain the steps to get total answer​
sergij07 [2.7K]
10% of 65
Of means multiply
=0.1 x 65
=6.5

Or you can use another way which is (part/whole) *(percent/100)

Whole=65
Percent=10
And part(part of 65)=unknown

(X/65)* (10/100)
Cross multiply
x= 6.5

So 10% of 65 is 6.5
5 0
3 years ago
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