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wolverine [178]
2 years ago
13

Ryan runs 100 m two times. His times were 14.19 s and 13.78 s. Daniel runs 100 m two times. His times were 15.77 s and 16.24 s.

How much greater was Daniel's total time than Ryan's total time?
Mathematics
2 answers:
MakcuM [25]2 years ago
3 0

14.19 + 13.78 = 27.97 seconds for Ryan

15.77 + 16.24 = 32.01 seconds for Daniel

32.01 - 27.97 = 4.04 seconds greater

Ratling [72]2 years ago
3 0
Well all we have to do here is add and subtract.       Ryan's times    14.19 and 13.78      13.78 + 14.19 = 27.97 seconds            Daniel's times     15.77 and 16.24      15.77 + 16.24 = 32.01     Then all we have to do is subtract the 2 total times.       32.01 - 27.97 = 4.04 seconds.     Daniel's time was 4.04 seconds higher than Ryan's time.




Hope I helped


Brainliest if satisfied :D
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The graph shows the rate at which the depth of the water in a pond is changing over time. On a coordinate plane, a graph titled
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Answer:

Step-by-step explanation:

The key to solving this question is to find the distance bwtween the two points given

distance=y2-y1/x2-x1

(2,4)(4,8)

2=x1,4=y1

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4 0
2 years ago
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
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Ymorist [56]

Answer:

In order for it to benefit his father to buy the pass Seth have to attend the movies for 11 times.

Step-by-step explanation:

Given:

Cost of movie pass = $40

Cost per matinees with pass = $1.00

Cost per matinees without pass = $3.50

To Find:

Number of times must Seth attend in order for it to benefit his father to buy the pass = ?

Solution:

Let x be the number of times he wants to visit

To profit his father

The number of visits without pass =  the number of visits with passin the cost  of $3.50

Then, without pass if he visits for x times then the cost will be  = 3.50x

Also with pass, the number of times he can visit the pass  =  \frac{40}{3.50}

then

\frac{350 x}{3.50} = \frac{40}{3.50}

3.50x = 40

x = \frac{40}{3.50}

x =  11.42

x = 11 (approx)

3 0
2 years ago
Heron wants to buy a video game. The price is regularly priced at 55 dollars. The store has a discount of 20% off and a sales ta
nadezda [96]

The amount paid by Heron for the video game  is $46.64.

Step-by-step explanation:

Here, the marked price of the video game  = $55

The discount percentage on the video game  = 20%

Calculating 20% of the $55, we get:

\frac{20}{100}  \times 55  = 11

So, the discount offered on the video game  = $11

Selling Price  = Marked Price  - Discount

                        =$55 - $11 = $44

Now,  the tax percentage on the video game  = 6%

Calculating 6% of the $44, we get:

\frac{6}{100}  \times 44  =2.64

So, the tax  on the video game  = $2.64

New Selling Price  = Selling Price  +  Tax

                        =$44 + $2.64  = $46.64

So, the amount paid by Heron for the video game  is $46.64.

4 0
2 years ago
A rectangular patio has area of 180 square feet. The width of the patio is 3 feet less than the length. Find the length and widt
kondaur [170]
My calculations got to a decimal so it’s about.

6 0
2 years ago
Read 2 more answers
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