A normal die (numbered 1-6) is fair if each outcome is equally likely. Therefore a 1 should come up of the time. If a fair die is rolled 360 times we would expect a 1 to come up 60 times (since 1 over 6 times 360 equals 60 ). If x represents the number of times a "1" is rolled then open vertical bar fraction numerator x minus 60 over denominator square root of 50 end fraction close vertical bar less than 1.96 gives the reasonable range for the number of times a "1" will come up in 360 rolls. If we roll the die 360 times and get a "1" 30 times, is our die a fair die? Show your work using the equation editor.

Answer:

C

Step-by-step explanation:

It's y=-4/1-21

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

The equation of the line is y = (-1/2)x + 7

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Let the equation of the line is y = m(1)x + c

The line is perpendicular to 2x - 8y = 3

The means,

2x - 8y = 3

-8y = 3 - 2x

y = -(3 - 2x)

y = -3 + 2x

y = 2x - 3

This is in the form of y = m(2)x + c

m(2) = 2 and c = -3

Now,

The line y = m(1) + c is perpendicular to y = m(2) + c

So,

m(1) x m(2) = -1

m(1) = -1/2

Now,

The line contains (-8, 11) = (x, y).

This means,

y = m(1)x + c

11 = (-1/2) x -8 + c

11 = 4 + c

c = 11 - 4

c = 7

Now,

The equation of the line is y = (-1/2)x + 7

Thus,

The equation of the line is y = (-1/2)x + 7

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Answer:

4

Step-by-step explanation:

on edge

Step-by-step explanation:

[tex]y - y1 = m(x - x1)[/tex]

[tex]y - ( - 4) = \frac{3}{2} (x - ( - 1)[/tex]

[tex]y = \frac{3(x + 1) - 8}{2} [/tex]

[tex]y = \frac{3}{2} x - \frac{5}{2} [/tex]

Answer:3

x2−y

Step-by-step explanation:

Answer:

50 or 60 feet

Step-by-step explanation:

Answer:

y=-1/3x+5

Step-by-step explanation:

to find the slope you have to use the equation y₂-y₁/x₁-x₂

which will give you 6-7/-3-(-6) --> -1/3

the product of this equation is your slope

Answer:

The value is [tex]P(60 < X < 70) = 0.34134[/tex]    

Step-by-step explanation:

From the question we are told that

   The mean is  [tex]\mu = 1 \ hour = 60 \ minutes[/tex]

    The standard deviation is  [tex]\sigma = 10 \ minutes[/tex]

Generally the 1 hour is equivalent to 60 minutes

   Generally the probability to complete the job in one hour or more, but less than 70 minutes is mathematically represented as

    [tex]P(60 < X < 70) = P(\frac{60 - 60 }{10 } < \frac{X - \mu}{\sigma } < \frac{70 - 60 }{10 } )[/tex]

=> [tex]P(60 < X < 70) = P(0 < \frac{X - \mu}{\sigma } < 1 )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

=> [tex]P(60 < X < 70) = P(0 <Z < 1 )[/tex]

=>     [tex]P(60 < X < 70) = P(Z < 1) - P(Z < 0 )[/tex]

From the  z  table  (Z <  1)  and  (Z <  0 ) is  

        [tex]P(Z < 1) = 0.84134[/tex]

and  

      [tex]P(Z < 0 ) = 0.5[/tex]

=>    [tex]P(60 < X < 70) = 0.84134 - 0.5[/tex]

=>    [tex]P(60 < X < 70) = 0.34134[/tex]        

Answer:

1. 1.85

2. 18.5

3. 185

4. 1850

5. Kristen needs '1850' years of yarn

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

-3 = 6 - 9

-3 = -3

Answer:

1a8?

Step-by-step explanation:

thi is how

The incorrect statement for the given condition is;

⇒ |a| > b

What is Number line?

Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.

Given that;

A number line shows 'a' to the left of 0 and 'b' to the right of 0. Point a is closer to 0 than point b.

Now,

Since, Point a is closer to 0 than point b.

And,  Number 'a' to the left of 0 and 'b' to the right of 0.

Hence,

Let the number 'a' = - 1

Then, The number 'b' = 2

So, We get;

|a| = |-1| = 1

And, |b| = 2

Clearly, |a| < b

Thus, The incorrect statement for the given condition is;

⇒ |a| > b

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Answer:

A quadratic equation has solutions when the graph crosses the x-axis. There are two ways the graph can have no solution, when the "a" value is greater than 0 and is translated vertically above the x-axis, or if the opposite occurs, when the "a" value is negative and is translated vertically below the x-axis.

Answer:

(w * 2) + 5 = 9

Explanation:

Product means multiplication. Five more than means adding 5. So, add five to the answer of w times 2 is 9.

(w * 2) + 5 = 9

Thus the equation is 5 + 2w = 9 and the unknown number is 2.

Given,

Five more than the product of a number and 2 equals 9.

We will use the unknown number as w.

We will form an equation.

Find the equation.

Let the unknown number be w.

"Five more than the product of a number and 2 equals 9".

we can write this as:

5 + w x 2 = 9

5 + 2w = 9

Find the unknown number.

We have,

5 + w x 2 = 9

5 + 2w = 9

Subtract 5 on both sides.

5 + 2w - 5 = 9 - 5

2w = 4

Divide both sides by 2.

w = 2

Thus the equation is 5 + 2w = 9 and the unknown number is 2.

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Answer:

8 is slope

Step-by-step explanation:

if it is parallel it is the exact same slope and this equation has a slope of 8

Answer:

10 and -2

Step-by-step explanation:

Step-by-step explanation:

Answer:

You need to use y=mx+b

In this case, m=1.5 so that means that y=1.5x

Now you must find out the y intercept which is "b" in y=mx+b

I think it is the first one (y=1.5x+72)

====================================================

Explanation:

The given slope is m = 1.5

We want the line to go through (x,y) = (6,72). This means x = 6 and y = 72 pair up together.

We'll plug those m, x, and y values into the equation below to solve for b

y = mx+b

72 = 1.5*6+b

72 = 9+b

72-9 = b ... subtract 9 from both sides

63 = b

b = 63 ... y intercept

-------------------

Since m = 1.5 and b = 63, we go from y = mx+b to y = 1.5x+63

Answer:

I'm pretty sure it's A because it's measured with Miles pH no hour per mile

Answer:

A

Hope this helped ;)

Answer:

20.243. (Rounded to the nearest hundredths)

Step-by-step explanation:

75 ÷ 3.705 = 20.24291498

Answer

2 is the unit rate

Step-by-step explanation:

6/3 =2x5=10

Answer:

2

Step-by-step explanation:

Answer:

94 grams

Step-by-step explanation:

Adrian gerbil weighed 68.59 grand at the beginning of the summer

During the summer the gerbil gained 24.6 grams

Therefore the weight of the gerbil at the end of the summer can be calculated as follows

= 69 + 25

= 94 grams

Therefore the weight of the gerbil at the end of the summer is 94 grams

Answer: The middle 90% of incomes are between $6621.25 and $12378.75 .

Step-by-step explanation:

The critical z-value for 90% confidence = 1.645

Given: Mean income per household  =  $9500

standard deviation = $1750

then,  middle 90% of incomes are between $(9500-(1.645)(1750)) and (9500+(1.645)(1750))

i.e.  middle 90% of incomes are between $6621.25 and $12378.75.

Hence, the middle 90% of incomes are between $6621.25 and $12378.75 .

Answer:

Starting price is $50.70.

Next day the price is $50.70 + $17.75 = $68.45

This price then changed by: [tex]-3\frac{3}{4}\%=-3.75\%[/tex].

So in order to calculate that we do: [tex]68.45 - (3.75/100*68.45)=65.883125 =\$65.88[/tex]

Therefore final price is $65.88.

Yes, this is reasonable.

Answer:

9 13/15

Step-by-step explanation:

Find a common denominator which is 15

2        10.             1.               3

—  =  ——.          ——   =      ——

3        15              5               15

7 + 2 = 9

10/15 + 3/15 = 13/15

9  13/15

Answer:

Step-by-step explanation:

7+2=5

I would convert 2/3 into 10/15 and convert 1/5 into 3/15 and add

10/15 + 3/15 = 13/15 and the answer would be

5 13/15

Answer:

24/6=x

where x is the number of students in every group

Step-by-step explanation:

there's 24 kids in total

you want to divide them into 6 groups

24/6

9514 1400 393

Answer:

  p(x) = x^4 -8x^3 +16x^2 -8x +15

Step-by-step explanation:

Assuming you want real coefficients, the imaginary root means its conjugate is also a root. In factored form, the polynomial is ...

  p(x) = (x -3)(x -5)(x -i)(x +i) = (x^2 -8x +15)(x^2 +1)

  p(x) = x^4 -8x^3 +16x^2 -8x +15

Answer:

there is no image

Step-by-step explanation:

Answer:I think it is 2x - 3y=27

Step-by-step explanation:I had it on a quiz.