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
marin [14]
2 years ago
15

kali runs 10 laps around a track each day. Each lap around the track is 400 meters. How many will it take kali to run a total of

12 kilometers?
Mathematics
1 answer:
Flauer [41]2 years ago
6 0

Answer:

3 days

Step-by-step explanation:

Kali runs 10 laps around a track each day, and each lap is 400 meters. So, the first step would be:

10 • 400 = 4,000

That means Kali runs 4,000 meters each day.

Now, there are 1,000 meters in 1 kilometer. This means he runs 4 kilometers each day, and we're trying to get to 12 kilometers.

The final step is to divide. 12/4 = 3

So, it would take 3 days for him to run a total of 12 kilometers.

You might be interested in
Audrey, an astronomer is searching for extra-solar planets using the technique of relativistic lensing. Though there are believe
Stolb23 [73]

Answer:

Step-by-step explanation:

The model N (t), the number of planets found up to time t, as a Poisson process. So, the N (t) has distribution of Poison distribution with parameter (\lambda t)

a)

The mean for a month is, \lambda = \frac{1}{3} per month

E[N(t)]= \lambda t\\\\=\frac{1}{3}(24)\\\\=8

(Here. t = 24)

For Poisson process mean and variance are same,

Var[N (t)]= Var[N(24)]\\= E [N (24)]\\=8

 

(Poisson distribution mean and variance equal)

 

The standard deviation of the number of planets is,

\sigma( 24 )] =\sqrt{Var[ N(24)]}=\sqrt{8}= 2.828

b)

For the Poisson process the intervals between events(finding a new planet) have  independent  exponential  distribution with parameter \lambda. The  sum  of K of these  independent exponential has distribution Gamma (K, \lambda).

From the given information, k = 6 and \lambda =\frac{1}{3}

Calculate the expected value.

E(x)=\frac{\alpha}{\beta}\\\\=\frac{K}{\lambda}\\\\=\frac{6}{\frac{1}{3}}\\\\=18

(Here, \alpha =k and \beta=\lambda)                                                                      

C)

Calculate the probability that she will become eligible for the prize within one year.

Here, 1 year is equal to 12 months.

P(X ≤ 12) = (1/Г  (k)λ^k)(x)^(k-1).(e)^(-x/λ)

=\frac{1}{Г  (6)(\frac{1}{3})^6}(12)^{6-1}e^{-36}\\\\=0.2148696\\=0.2419\\=21.49%

Hence, the required probability is 0.2149 or 21.49%

5 0
3 years ago
Convert 75 degrees to radican measure
NeX [460]

Answer:5π/12

Step-by-step explanation:

180°=π

75°=x

x=75π ➗ 180

x=5π/12

6 0
3 years ago
Find the length and width of a rectangle that has the given perimeter and a maximum area. perimeter: 244 meters
MissTica
We know that

[perimeter of rectangle]=2*(<span>length+width)
</span>
Let
x-----------> length
y-----------> width
so
P=2*(x+y)-----------> 244=2*(x+y)-----> x+y=122-------> y=122-x

Area=x*y-------> x*(122-x)----> 122x-x²

find the derivative function and equals to zero

122-2x=0-----> 122=2x----------> x=61 m
y=122-x------> y=122-61---------> y=61 m

<span>the maximum area is given by a square
</span>
the answer is
is a square of side 61 m


6 0
3 years ago
A quadrilateral has congruent side lengths. 2 opposite angles have measures of 100 degrees. The other 2 opposite angles have mea
Burka [1]

Answer:

x = 14.

Step-by-step explanation:

The other 2 opposite angle are both equal to 70 degrees.

So 5x = 70

x = 70/5

= 14 degrees.

6 0
3 years ago
Read 2 more answers
£730 is divided between June, Sushil &amp; Fiona so that June gets twice as much as Sushil, and Sushil gets three times as much
olga2289 [7]

Answer:

idk mush

Step-by-step explanation:

i dont have a clue

3 0
3 years ago
Read 2 more answers
Other questions:
  • there are 36 roses and 27 carnations. anna is making flower arrangements using both flowers, if she made the maximum number of a
    8·1 answer
  • Will vote brainliest.
    10·2 answers
  • Can someone please help me?
    10·1 answer
  • Which expressions are equivalent to the one below? Check all that apply. 53 • 5x
    8·2 answers
  • A 9-pound bag of dog food costs $40, and a 20-pound bag of dog food costs $85. Which bag is the better buy?
    14·1 answer
  • What is the product (3 x 10^9) x (2 x 10^17) in scientific notation? 
    10·2 answers
  • If a procedure meets all of the conditions of a binomial distribution except the number of trials is not​ fixed, then the geomet
    13·1 answer
  • Huong packed 189 cubes into small, rectangular, empty box. The cubes cimpletely filled the box. The edge length of each cube was
    15·1 answer
  • 4x≤12= I don't understand​
    12·2 answers
  • 32 The area of a parallelogram is (32 + sqrt(2)) square feetIf the length of the base is (4 + sqrt(2)) feet, find the height of
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!