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atroni [7]
3 years ago
13

What is the linear function equation represented by the graph?

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
4 0

Answer:

y=\frac{1}{3}x -4

Step-by-step explanation:

To write a linear function, use y=mx+b where m is the slope and b is the y-intercept. The y-intercept is where the line on the graph crosses the y-axis. On the graph is crosses at (0,-4). So b=-4. To find the slope, subtract the difference between two points on the line which cross through a grid line intersection. (0,-4) is one point. (3,-3) is another.

\frac{-3--4}{3-0}=\frac{-3+4}{3} =\frac{1}{3}

Input 1/3 and b=-4 into y=mx+b.

y=\frac{1}{3}x -4

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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
Graph y = -2 and x= 3 individually state the slope and x and y intercept form for each
attashe74 [19]

y = -2 and x= 3

Graph is attached below. Black line is the graph of y=-2

Blue line is the graph of x=3

Whenever we get equation like x = something, in that case slope is always undefined

Whenever we get equation like y = something, in that case slope is always 0

y = -2 and x= 3

For x=3, the slope is undefined.

The graph of x=3 is a vertical line at 3 on x. The x intercept is 3 and there is no y intercept.

For y=-2, the slope is 0

The graph of y=-2 is a horizontal line at -2 on y. The y intercept is -2 and there is no x intercept.


4 0
3 years ago
The wildlife department has been feeding a special food to rainbow trout fingerlings in a pond. based on a large number of obser
Liono4ka [1.6K]
The normal distribution curve for the problem is shown below

We need to standardise the value X=405.5 by using the formula

z-score= \frac{X-Mean}{Standard Deviation}
z-score= \frac{405.5-402.7}{8.8} =0.32

We now need to find the probability of z=0.32 by reading the z-table

Note that z-table would give the reading to the left of z-score, so if your aim is to work out the area to the right of a z-score, then you'd need to do:

P(Z\ \textgreater \ z)=1 - P(Z\ \textless \ z)

from  the z-table, the reading P(Z\ \textless \ 0.32) gives 0.6255

hence, 
P(Z\ \textgreater \ 0.32)=1-0.6255=0.3475

The probability that the mean weight for a sample of 40 trout exceeds 405.5 gram is 0.3475 = 34.75%

7 0
2 years ago
Please help me with my problem
Doss [256]
D and F are not equivalent to ax+bx+ac+bc+
8 0
3 years ago
Question 28
alexandr402 [8]

Answer:

Given Rate of interest is r=8%=0.08

Principal Amount is A=5,000

Time is t years

Interest is compounded yearly twice ⟹n=2

Amount =P(1+

n

r

)

nt

=5000×(1+

2

0.08

)

2t

=5,408

(1.0816)

t

=

5000

5408

⟹t=1

7 0
3 years ago
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