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Vlad1618 [11]
2 years ago
14

What is the area of a circle with 11m and 9m?

Mathematics
1 answer:
Naya [18.7K]2 years ago
3 0

Answer:

99m

Step-by-step explanation:

multiply the two numbers

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3,298,076 in expanded form
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3,000,000+200,000+90,000+8,000+70+6
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i need help quick!! this is unit 1:geometry basics. homework 5: angle relationships if anyone know tell me
EleoNora [17]

Answer:

I do not know the answer of 6 and 7

5 0
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Read 2 more answers
A standardized test consists of 100 multiple-choice questions. Each question has five possible answers, only one of which is cor
Nady [450]

Answer:

a) S ~ N ( 0 , 48 )

b) P ( S > 10 ) = 0.0745

Step-by-step explanation:

Given:-

- We have n = 100 MCQs

- 5 options for every MCQs

- probability to guess each MCQ correct is independent from one another.

- Right Answer points= +4

- Wrong answer points= -1

Find:-

a) Find ????(S).

b) Find P(S>10). Write your answer as a math expression, then use the code cell below to find its numerical value and provide it along with your math expression.

Solution:-

- The probability (p) of guessing a correct answer for each question is:

                             p ( correct answer ) = 1 / 5 = 0.2

- The mean number of correct and incorrect answers can be determined by:

                             ( Mean correct answers) = n*p = 100*0.2 = 20

                             ( Mean incorrect answers) = n*(1-p) = 100*0.8 = 80

- The mean score for correct answers would be:

                            Sc ( u ) = (Points for right answer)*(Mean correct answers)

                            Sc ( u ) = ( +4 )*(20)

                            Sc ( u ) = 80 points

The mean score for incorrect answers would be:

                            Si ( u ) = (Points for wrong answer)*(Mean incorrect answers)

                            Si ( u ) = ( -1)*(80)

                            Si ( u ) = -80 points.

- The mean score attained by a student would be S (u):

                           S (u) = Sc(u) + Si(u)

                           S (u) = 80 - 80 = 0

- The variance of the correct and incorrect answers can be determined by:

                           Var ( correct answers ) = n*p*q = 100*0.2*0.8 = 16

                           Var ( in-correct answers ) = n*p*q = 100*0.2*0.8 = 16

- The variance of points of correct answers can be:

                           Sc (Var) = Var ( correct answer ) * (Points for right answer)

                           Sc (Var) = 16*(+4) = +64 points

- The variance of points of incorrect answers can be:    

                          Si (Var) = Var ( incorrect answer ) * (Points for wrong answer)

                          Si (Var) = 16*(-1) = -16 points  

- Since the probabilities of guessing correct answers are independent. Then as per law of independence:

                         S ( Var ) =  Sc (Var) + Si (Var)

                                       = 64 - 16

                                       = +48 points

- The standard deviation for the distribution (s.d) of points (S) is:

                         S ( s.d ) = √S (Var)  = √48 = 6.9282            

- The number of points (S) attained by a student by guessing on the test containing MCQs would have a mean u = 0 points and s.d = + 48 points.

- The random variable (S) can be modeled by normal distribution as follows:

                         S ~ N ( 0 , 48 )      

- To find the required probability P(S>10).

Compute the Z-value of S = 10 points:

                        Z - value =  ( S - u ) / s.d

                                        =  ( 10 - 0 ) / 6.9282

                                        = 1.4434

Use the standardized Z-table for normal distribution:

                       P ( Z > 1.4434 ) = 0.0745

The probability is:

                       P ( S > 10 ) = P ( Z > 1.4434 ) = 0.0745

5 0
2 years ago
The value of a rare painting has increased each year since it was found at a garage sale. The value of the painting is modeled b
solmaris [256]

799 represents the initial value of the painting

The painting will be worth $926 after 5 years to the nearest dollar

Step-by-step explanation:

The form of the exponential function is f(x)=a(b)^{x} , where

  • a is the initial value ⇒ (at x = 0)
  • b is the growth/decay factor ⇒ (rate of change)
  • If b > 1, then the function is growth ⇒ (increasing)
  • If 0 < b < 1, then the function is decay ⇒ (decreasing)

The value of a rare painting has increased each year since it was

found at a garage sale

The value of the painting is modeled by the function f(x)=799(1.03)^{x}

We need to know what 799 represents and what the painting will

be worth after 5 years

∵ f(x)=799(1.03)^{x}

∵ The form of the function is f(x)=a(b)^{x}

- By comparing the two forms

∴ a = 799 and b = 1.03

∵ a is the initial value at x = 0

∴ 799 represents the initial value of the painting

∵ x represents the number of years

∴ x = 5

- Substitute the value of x in the function by 5

∵ f(5)=799(1.03)^{5}

∴ f(x) = 926.26

∴ The painting will be worth $926 after 5 years to the nearest dollar

799 represents the initial value of the painting

The painting will be worth $926 after 5 years to the nearest dollar

Learn more:

You can learn more about the functions in brainly.com/question/10382470

#LearnwithBrainly

6 0
2 years ago
1. When developing an interval estimate for the difference between two sample means, with sample sizes of n1 and n2, A. n1 must
Yuri [45]

Answer:

D. n1 and n2 can be of different sizes

Step-by-step explanation:

When we are trying to develop interval estimate for difference between two populations, we first select two samples from these populations. We get the interval using the required statistic.

These are:

- Sample size of both populations. Which are n1 and n2 respectively.

- then the Sample mean of two populations

- sample standard deviation.

The samples of different sample sizes can be used and we are not obligated to make use of the same sample size.

4 0
2 years ago
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