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Advocard [28]
2 years ago
8

Number 11 a, b, and c

Mathematics
1 answer:
tatuchka [14]2 years ago
8 0

Answer:

a. y = 10.25x - 60

b. $60

c. 6 hours

Step-by-step explanation:

To find slope of table we use rise/run aka change in y/change in x

  1. Get two y values, and two x values, ex: (13,73.25),(40,350), now find the change in y and x respectively, (350-73.25)/(40-13) = 276.75/27 = 10.25
  2. The slope is 10.25, now we find the y-intercept or the amount of money she starts at, using the equation, y = mx+b, m being the slope, b being the y-intercept, y/x being the axes.
  3. We plug in a x,y value on the same row, along with the slope we just found. 350 = (10.25)(40) + b, 350 = 410 + b, b = -60.
  4. Therefore the equation is y = 10.25x - 60

To find the amount of money she spent on her uniform, we can look at the value she started with.

  1. We find the y-intercept, which is already found in the previous question (a).
  2. The y-intercept or amount she payed for her uniform is $60

To find the amount hours, we can plug in values for y, to solve for x. 'y' is the axis for earnings, so if we set 'y' to 0, that would mean that 'x' amount of hours would make -60 become 0

  1. Set up the equation: 0 = 10.25x-60
  2. Solve for x: 60 = 10.25x, x ~= 5.85 hours
  3. Note that you have to round up to 6 hours because Erin is paid hourly, and working for only 5 hours is not enough, thus the answer would be 6 hours.
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Yakvenalex [24]

Answer:

Sd(X) =\sqrt{1.2}=1.095

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=5, p=0.4)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

The mean for the binomial distribution is given by:

E(X) =np=5*0.4=2

And the variance is given by:

Var(X) = np(1-p) =5*0.4*(1-0.4)=1.2

And the deviation is just the square root of the variance so we got:

Sd(X) =\sqrt{1.2}=1.095

7 0
3 years ago
In which number is the value of the ten 7 ten times the value of the 7 in the number 1,273
Mashutka [201]

Answer:

700

Step-by-step explanation:

The '7' in the number 1273  ..it is in the second place which represents 'tens' so it is equal to    '70'   ten times this amount would be  700.    If you have a list of numbers to choose from.....choose one with the '7' in the THIRD position.

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What are the solutions to the systems?<br><br> y=x^2-4x-2<br> y=x-2
kirill115 [55]
<span>y=x^2-4x-2
y=x-2

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x=0 or x=5 

y = x - 2
1)
x=0
y = 0 - 2= -2
2)
x=5
y=5-2=3

Answer
x=0 , y=-2
or
x=5 , y=3</span>
6 0
3 years ago
H(x)= 2x+1, Find h(3)
zvonat [6]
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Estimate the solution to the system of equations. 7x−y=7<br><br> x+2y=6<br> ​
ElenaW [278]

Answer:

I am not sure how your teacher wanted you to estimate the answer but I solved it for you. Hopefully this helps.

Step-by-step explanation:

7x-y=7

x+2y=6

14x-2y=14

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add both equations

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x=20/15

x=4/3

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divide both sides by 2

y= 14/3 divided by 2

y=14/3(1/2)

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2y=

3 0
3 years ago
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