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rosijanka [135]
3 years ago
15

The Law of Large Numbers: I need help on finding the probability of this situation.

Mathematics
1 answer:
Stella [2.4K]3 years ago
4 0

The mean time it takes to walk to the bus stop is 8 minutes (with a standard deviation of 2 minutes) and the mean time it takes for the bus to get to school is 20 minutes (with a standard deviation of 4 minutes). The distributions are normal. a. How long will it take (in minutes), on average, to get to school? b. What is the standard deviation of the trip to school? c. What is the probability that it will take longer than 30 minutes to get to school? Due to a miscalculation, you realize it actually takes an average of 10 minutes to walk to the bus stop. d. How long will it take (in minutes), on average, to get to school? e. What is the standard deviation of the trip to school? f. What is the probability that it will take longer than 30 minutes to get to school? The only ones I need help with is C and F. I have the answer for the rest of them. Can someone please help me with parts C and F??

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Question A) Work out the distance travelled on a cycle in the first 14 seconds.
Ket [755]

Answer:

96m

Step-by-step explanation:

distance traveled =

area of the graph( up to 14 sec)

= (1/2*4*8)+(8*10)

= 16 + 80 = 96

4 0
3 years ago
What is the probability that the sum is a multiple of 4 when you roll to number cubes
GREYUIT [131]

Answer:

Step-by-step explanation:

1/4

4 0
3 years ago
Drag each number to the correct location on the table.
ella [17]

Answer:

3.2 x 10^5 goes in greater than 2.4 x 10^4

1.9 x 10^-1 goes in less than 1.2 x 10^2

2.2 x 10 goes in less than 1.2 x 10^2

2.4 x 10^3 goes in between 1.2 x 10^2 and 2.4 x 10^4

5.9 x 10^2 goes in between 1.2 x 10^2 and 2.4 x 10^4

6.1 x 10 goes in less than 1.2 x 10^2

2.5 x 10^4 goes in greater than 2.4 x 10^4

Step-by-step explanation:

First let's find out what 2.4 x 10^4 and 1.2 x 10^2 is.

2.4 x 10^4 = 24000

1.2 x 10^2 = 120

3.2 x 10^5 is obviously greater than 2.4 x 10^4 because the exponent of ten in 3.2 x 10^5 is one more value than the exponent in 2.4 x 10^4. The decimal is also greater.

1.9 x 10^-1 = .19, which is less than 1.2 x 10^2

2.2 x 10 = 22, less than 1.2 x 10^2

2.4 x 10^3 = 2400, in between 1.2 x 10^2 and 2.4 x 10^4

5.9 x 10^2 = 590, in between 1.2 x 10^2 and 2.4 x 10^4

6.1 x 10 = 61, less than 1.2 x 10^2

2.5 x 10^4 we can solve without doing the math, 2.5 is greater than 2.4 meaning the product will be greater, to check I did the math 2.5 x 10^4 = 25000, greater than 2.4 x 10^4

P.S Next time right ^ before the exponents, so we know they are exponents

8 0
3 years ago
Read 2 more answers
On October 31, Betty and Paul fill their 250-gallon oil tank for their heater. Beginning in November they use an average of 15 g
Free_Kalibri [48]

The equation that expresses the amount of oil, A, in terms of the number of weeks, w, since October 31 is:

A(w) = 250 gal - w*15gal.

<h3>How to write the linear equation?</h3>

We know that Betty and Paul start with 250 gallons of oil in October 31, which is our initial time, w = 0.

Since November they start using 15 gallons per week, so one week after, at w = 1 (this would be at the end of the first week of November) they will have:

250 gal - 15 gal = 235 gallons of oil.

And each week after that, the amount of oil in the tank will decrease by a fixed amount of 15 gal. This can be described wit a linear equation.

If for each week the tank losses 15 gallons of oil, after w weeks the amount of oil in the tank is:

A = initial quantity - amount that is lost en the w weeks.

A = 250 gal - w*15gal.

The equation that expresses the amount of oil, A, in terms of the number of weeks, w, since October 31 is:

A(w) = 250 gal - w*15gal.

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

5 0
2 years ago
Find $a+b+c$ if the graph of the equation $y=ax^2+bx+c$ is a parabola with vertex $(5,3)$, vertical axis of symmetry, and contai
bogdanovich [222]

Answer:

a+b+c=-\frac{7}{3}

Step-by-step explanation:

Given:

The equation of the parabola with vertical axis of symmetry is given as:

y=ax^2+bx+c

Vertex of the parabola is, (h,k)=(5,3)

Point on a parabola is (2,0).

The x co-ordinate of the vertex is given as:

h=-\frac{b}{2a}\\5=-\frac{b}{2a}\\5\times 2a=-b\\10a=-b\\b=-10a----1

Now, plug in the point (2,0) in the parabolic equation. This gives,

0=a(2)^2+b(2)+c\\0=4a+2(-10a)+c\\0=4a-20a+c\\c=20a-4a=16a------ 2

Now, as vertex lies on the parabola, plug in (5,3) in the parabolic equation. This gives,

3=a(5)^2+b(5)+c\\3=25a+5b+c\\\textrm{But, b= -10a, c= 16a}\\3=25a+5(-10a)+16a\\3=25a-50a+16a\\3=-9a\\a=-\frac{3}{9}=-\frac{1}{3}----3

So,

b=-10a=-10\times -\frac{1}{3}=\frac{10}{3}\\c=16a=16\times -\frac{1}{3}=-\frac{16}{3}

Therefore, the sum of a+b+c is:

=-\frac{1}{3}+\frac{10}{3}-\frac{16}{3}\\=\frac{-1+10-16}{3}\\=-\frac{7}{3}

6 0
3 years ago
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