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
Annette [7]
4 years ago
10

Five runners, Andy, Beth, Dale, Ella, and Tri, are in a one-mile race. Tri finished 3 seconds before Ella. Ella finished 6 secon

ds after Dale. Dale finished 7 seconds after Andy. Andy finished 4 seconds before Beth. In which order did the runners Finnish the race?
Mathematics
2 answers:
Ierofanga [76]4 years ago
8 0

Answer:

Andy > Beth > Dale > Tri > Ella

Step-by-step explanation:

Let the time taken by Beth to complete the race = x seconds,

Andy finished 4 seconds before Beth,

⇒ Time taken by Andy = (x -4) seconds,

Dale finished 7 seconds after Andy,

⇒ Time taken by Dale = (x-4) + 7 = (x+3) seconds,

Ella finished 6 seconds after Dale.

⇒ Time taken by Ella = (x+3) + 6 = (x+9) seconds,

Tri finished 3 seconds before Ella,

⇒ Time taken by Tri = (x+9) - 3 = (x+6) seconds,

Since, x - 4 < x < x + 3 < x + 6 < x + 9

Thus, the increasing order of time taken by them,

Andy < Beth < Dale < Tri < Ella,

The one who takes less time is the winner,

Hence, the order of finishing the race is,

Andy > Beth > Dale > Tri > Ella

AlexFokin [52]4 years ago
3 0
Andy Beth Tri Dale Ella.
You might be interested in
Jenny wants to buy a new dress for her first school dance.
Slav-nsk [51]
No, she will still owe $9.30.                    $25.63 - $16.33= $9.30
5 0
3 years ago
Read 2 more answers
Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below
BARSIC [14]

Answer:

Due to the higher Z-score, Demetria should be offered the job.

Step-by-step explanation:

Z-score:

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Whichever applicant had grade with the highest z-score should be offered the job.

Demetria got a score of 85.1; this version has a mean of 61.1 and a standard deviation of 12.

For Demetria, we have X = 85.1, \mu = 61.1, \sigma = 12. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{85.1 - 61.1}{12}

Z = 2

Vincent got a score of 299.2; this version has a mean of 264 and a standard deviation of 22.

For Vincent, we have X = 299.2, \mu = 264, \sigma = 22.

Z = \frac{X - \mu}{\sigma}

Z = \frac{299.2 - 264}{22}

Z = 1.6

Tobias got a score of 7.26; this version has a mean of 7.1 and a standard deviation of 0.4.

For Tobias, we have X = 7.26, \mu = 7.1, \sigma = 0.4.

Z = \frac{X - \mu}{\sigma}

Z = \frac{7.26 - 7.1}{0.4}

Z = 0.4

Due to the higher Z-score, Demetria should be offered the job.

3 0
3 years ago
Please solve this the question is in the picture
Dominik [7]

Answer:

x : -3

Step-by-step explanation:

1) 15x-3(3x + 4) = 6 (distribute -3 to the numbers on the inside of parentheses)

2) 15x - 9x - 12 =6 (combine like terms 15x-9x = 6x)

3) -6x - 12 = 6 (add twelve to both sides, add the 12 to cancel out the 12)

4) -6x = 18 (divide the -6 on both sides)

5) x = -3

7 0
3 years ago
Sharlene opened a new account and deposited $6,000.
allsm [11]

Answer:

B

Step-by-step explanation:

6 0
3 years ago
A speed limit of 100 kilometers per hour (kph) is approximately equal to 62 miles per hour (mph). Write an equation relating kil
Kitty [74]
1.) 75 x .62 = 46.5 I multiplied by .62 because the kph to mph ratio is 1:.62
2.) 20 x 1.6 = 32 I multiplied by 1.6 because that's how many km are in a mile.
3 0
4 years ago
Read 2 more answers
Other questions:
  • 5. In a class of 78 students 41 are taking French, 22 are taking German. Of the students taking French or German, 9 are taking b
    6·1 answer
  • A man has 14 coins in his pocket, all of which are dimes and quarters. if the total value of his change is $1.70, how many dimes
    14·1 answer
  • I need help where do I plot the point help asap please
    9·1 answer
  • Use the equation of the water level of the river represented by the equation y=-4x + 170, where x represents the
    5·2 answers
  • A town's public works department has ordered sand to spread on roadways during the upcoming winter snows. The delivered sand for
    6·1 answer
  • 9,16,21<br> is a right triangle
    14·1 answer
  • Create truth table to determine whether or not the following statements are logically equivalent
    13·1 answer
  • PLZ HELP I WILL MARK BRAINLYIST!!!!!!!!!!!!!!!!Zoe is doing a survey to find the time her classmates spend playing video games.
    7·2 answers
  • Which number is a rational number?
    13·1 answer
  • (4x-6)(6x+2) simplify
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!