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Keith_Richards [23]
3 years ago
13

Sandra runs A new personal best in the hundred meter dash her average speed is 7.4 m/s how long to the nearest hundredth does it

take her to run the race
Mathematics
1 answer:
ozzi3 years ago
6 0

Answer:

13.51\ \text{s}

Step-by-step explanation:

s = Average speed of Sandra = 7.4\ \text{m/s}

d = Distance Sandra ran = 100\ \text{m}

Time is given by

t=\dfrac{d}{s}

\Rightarrow t=\dfrac{100}{7.4}

\Rightarrow t=13.51\ \text{s}

The time it takes Sandra to run the given distance is 13.51\ \text{s}.

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solo el 20% de los empleados de la población civil que está en una base militar restringida porta su identificación personal. Si
prisoha [69]

Usando la distribución binomial, hay una probabilidad de 0.8926 = 89.26% de que el guardia de seguridad encuentre al menos uno en la base militar restringida.

<h3>¿Qué es la distribución binomial?</h3>

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

Los parámetros son:

  • n es el número de ensayos.
  • p es la probabilidad de éxito en un ensayo
  • x es el número de éxitos

En este problema, hay que:

  • 20% de los empleados de la población civil que está en una base militar restringida porta su identificación personal, o sea p = 0.2.
  • Llegan 10 empleados, o sea, n = 10.

La probabilidad de que el guardia de seguridad encuentre al menos uno en la base militar restringida es dada por:

P(X \geq 1) = 1 - P(X = 0)

En que:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074

Por eso:

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1074 = 0.8926

Hay una probabilidad de 0.8926 = 89.26% de que el guardia de seguridad encuentre al menos uno en la base militar restringida.

Puede-se aprender más a cerca de la distribución binomial en brainly.com/question/25132113

3 0
2 years ago
1. Mr. McClellan has a board game that requires the use of two 4-sided dice. According to his rules, you can only start the game
stealth61 [152]
(A)

1,4
1,3
1,2
1,1

2,1
2,2
2,3
2,4

3,1
3,2
3,3
3,4

4,1
4,2
4,3
4,4

5,1
5,2
5,3
5,4

6,4
6,3
6,2
6,1

(B)
3%

(C)
I'm not sure about the answer for C, Sorry. Hope this helps!
6 0
3 years ago
HELP ASAP PLZZZ!!! I would be Soo grateful
Dmitry [639]

Answer:

31%

Step-by-step explanation:

3/10 is the same as 30%

If 30% of the students liked English and 61% of the students like math, the difference can be found by using subtraction.

61% - 30% = 31%

5 0
3 years ago
Fred and Sue want to fence in a rectangular area in their yard for a vegetable garden. Suppose that they have 30 feet of fencing
larisa [96]

Answer:

a=35x−x^2

Step-by-step explanation:

Having  

70 ft of fencing with a  

width of x

feet and knowing the perimeter of a rectangle is  

p=2w+2l

we can state the length of the garden as:

70=2x+2l

and solving for  l

we know the length with be:

2l=70−2x or l=35−x  

And then knowing the formula for the area of a rectangle is  

a=w⋅l

we can write the equation as:

a=x⋅(35−x)a=35x−x^2

6 0
3 years ago
Read 2 more answers
For my little cousin:
Mars2501 [29]

Answer:

35

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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