MATHEMATICS HIGH SCHOOL

A runner has a track lap of one minute while at a run, five minutes while at a jog, 7 minutes while at a walk. If 2/5 of the lap is paced at a run, 1/2 at a jog and 1/10 at a walk what is the total track lap time of the runner. Write the solution as a mixed number or a fraction in lowest terms

Answers

Answer 1

Answer: 24 seconds running
2 minutes 30 seconds jogging
42 seconds walking
3 minutes 36 seconds in that lap

Answer 2

Answer:

Final answer:

The total track lap time of the runner is 2 2/5 minutes or 2.4 minutes.

Explanation:

The total track lap time of the runner can be calculated by summing up the individual time spent at each pace (run, jog, walk). Each pace's time is first multiplied by the fraction of the lap completed at that pace.

For the run, the calculation is 2/5 of 1 minute which is 2/5 minute.

For the jog, the calculation is 1/2 of 5 minutes which is 5/2 = 2 1/2 minutes or 2.5 minutes in decimal form.

For the walk, the calculation is 1/10 of 7 minutes which is 7/10 = 0.7 minutes.

Adding these times together gives a total of (2/5) + (5/2) + (7/10) = 12/5 = 2 2/5 minutes or 2.4 minutes in decimal form.

Learn more about Total Track Lap Time Calculation here:

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Related Questions

PLEASE HELP!!!!!!Which of the following experiments could be used to simulate an event in which the probability of success, P(success), is 0.65 and the number of successes out of 20 events is desired? A, Use a spinner that is divided into five equal parts. Choose three colors for successful; the other two colors represent unsuccessful. Spin the spinner 20 times, once for each event. B. Use a random number table consisting of the digits 0 through 9, with digits 0 through 3 representing successful and the remaining digits, 4 through 9, representing unsuccessful. Choose 20 digits, one for each event. C. Roll a 10-sided die. Let 1 through 5 represent successful and the values 6 through 10 indicate unsuccessful. Roll the die 20 times, once for each event. D. Count out 65 yellow beads and 35 pink beads. Select 20 of these beads at random. Let a yellow bead represent successful and a pink bead represent unsuccessful.
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Simplest form of the expression
3sqrt750+3sqrt2058-3sqrt48.

Answers

$3√(750)+3√(2058)-3√(48)\n=3√(30*25)+3√(42*49)-3√(3*16)\n=15√(30)+21√(42)-12√(3)$

Need help with this question

Answers

a₁ = -8 This is the first term in an arithmetic sequence.
d = 3, the common difference

a(n) = a₁ + d(n-1)

a₇ = -8 + 3(7-1)
a₇ = -8 + 3(6)
a₇ = -8 + 18
a₇ = 10

To check:
a₁ = -8
a₂ = -8 + 3 = -5
a₃ = -5 + 3 = -2
a₄ = -2 + 3 = 1
a₅ = 1 + 3 = 4
a₆ = 4 + 3 = 7
a₇ = 7 + 3 = 10

The area of a trapezoid is 150 in squared if the height is 8 in. And the longer base is 23 in. What is the length of the shorter base ?

Answers

$A=150in^2\n\nh=8in;\ a=23in;\ b=?\n\nA=(a+b)/(2)\cdot h\n\n(23+b)/(2)\cdot8=150\n\n(23+b)\cdot4=150\ \ \ \ /:4\n\n23+b=37.5\ \ \ \ /-23\n\nb=14.5\ (in)\leftarrow answer$

Bety compró 16 pares de calcetas, entre blancas y negras, y pagó $339. Los pares de calcetas blancas cuestan $24 y las negras $19. Plantea el sistema de ecuaciones y resuelve por el método que creas conveniente. Después toma foto y súbela en donde se indica.

Answers

Answer:

Sistema de ecuaciones:

x+y= 16

24x+19y=339

Respuesta:

x=7, y=9

Step-by-step explanation:

Con la información del enunciado puedes plantear las siguientes ecuaciones:

x= cantidad de calcetas blancas

y= cantidad de calcetas negras

x+y= 16 (1)

24x+19y=339 (2)

Para resolver las ecuaciones, debes iniciar despejando x en 1:

y=16-x (3)

Después, debes reemplazar (3) en (2) y despejar x para encontrar su valor:

24x+19(16-x)=339

24x+304-19x=339

5x=339-304

x=35/5

x=7

Luego, puedes reemplazar el valor de x en (3) para encontrar y:

y=16-x

y=16-7

y=9

De acuerdo a esto, x= 7, y=9.

Given the values in the probability distribution table, determine the standard deviation. A. 3.2
B. 13.9
C. 3.9
D. 2.0

Answers

Answer:

D. 2.0 is the right answer

Step-by-step explanation:

Note: All decimals were converted to fractions.

The standard deviation of the given distribution is:

σ=1.965

Answer:

1.96

Step-by-step explanation:

Solution:-

- We will use the table given to determine the standard deviation of random variable x. From descriptive statistics we have the following formula for standard deviation (s.d) :

s.d (x) = sqrt ( Var(x) )

- The formula for Variance ( Var (x) ) is also taken from descriptive statistics as follows:

$Var(X) = E ( X^2) + [ E(X) ] ^2$