You can put this solution on YOUR website!
A company operates four machines during three shifts each day. From production records, the data in the table below were collected. At the .05 level of significance test to determine if the number of breakdowns is independent of the shift.
Machine
Shift A B C D
1 41 20 12 16
2 31 11 9 14
3 15 17 16 10
----
Ho: row and column factors are independent
Ha: they are not independent
----------------
I ran a Chi-Sq test on the data and got the following:
test stat: Chi-Sq = 11.649
p-value:: 0.07
-----
conclusion: Since the p-value is greater than 5%, fail to reject Ho.
----
Answer: B
-------------
Cheers,
Stan H.
==============
A. The number of breakdowns is dependent on the shift, because the test value 11.649 is less than the critical value of 12.592.
B. The claim that the number of breakdowns is independent of the shift cannot be rejected, because the test value 11.649 is less than the critical value of 12.592.
C. The number of breakdowns is dependent on the shift, because the p-value is .07.
D. The number of breakdowns is independent of the shift, because the test value 12.592 is greater than the critical value of 11.649.

You can put this solution on YOUR website!
Two measurements were taken: the first immediately prior to the stem cell transplant, and the second at the time of the complete response.
Patient 1 2 3 4 5 6 7
Before 158 189 202 353 416 426 44
After 284 214 101 227 290 176 290
Dif(A-B)-126 -25 101 126 126 250 151
----
mean of Dif: 86.14
std of Dif:: 123.7
At the .01 level of significance, is there sufficient evidence to conclude that the mean bone marrow microvessel density is higher before the stem cell transplant than after the stem cell transplant?
---
Ho: ud = 0
H1: ud > 0 (claim)
-----
t(86.14) = (86.14/[123.7/sqrt(7)) = 1.8424
------
p-value = P(t > 1.8424 when df = 6) = tcdf(1.8424,100,6) = 0.0575
----
Conclusion: Since the p-value is greater than 1%, fail to reject Ho at
the 1% level of significance.

Ans:: No
===============
Cheers,
Stan H.
===============

You can put this solution on YOUR website!
Using a tree diagram, show all possible 'boy-girl' outcomes of a family having 3 children.
1st column of the tree: boy::::::girl::: 2 elements in 1st column
-----------------
2nd column of the tree: write boy and girl to the right of each element in 1st column::: 4 elements in 2nd column
-----------------
3rd column of the tree: write boy and girl to gthe right of each element is 2nd column::::8 elements in 3rd column
-----------------
Identify the probability of the family having
(a) exactly 3 boys :::
boy,boy,boy occurs once on the tree ::: P(bbb) = 1/8
-------------------
(b) at least 2 girls
patterns: ggg,ggb,gbg,bgg::: P(>= 2 girls) = 4/8
============
Cheers,
Stan H.
============

You can put this solution on YOUR website!
Given two independent events, A and B, how would you find:
(a) P (A or B) = P(A)+P(B)-P(A and B) = P(A)+P(B)-P(A)*P(B)
---------------------
(b) P (A and B) = P(A)*P(B)
---------------
cheers,
Stan H.
-----

You can put this solution on YOUR website!
If something is thrown straight up at a height of 2ft and thrown at an velocity of 35ft/second, what would be the function that can be used to determine the height of this object.
-------------------------------
h(t) = -gt^2/2 + vt + s
g = acceleration due to gravity (negative because it's downward)
v = initial speed at launch
s = starting height
------------
32 ft/sec/sec is commonly used for g
-----
h(t) = -16t^2 + 35t + 2

You can put this solution on YOUR website!
what is the quotient when 0.25% of 600% is divided by 0.25 of 600?
-----
(0.25/100)(6)] / [0.25*600]
-----
= 0.25/600] / [150]
---
= 0.25/[9000]
-----
= 1/36000
==================
Cheers,
Stan H.
==================

You can put this solution on YOUR website!
list down all the subset of u={a,b,c,d,e}
1.with one elements each:: a,b,c,d,e
2.with two elements each:: ab,ac,ad,ae,bc,bd,be,cd,ce,de
3.with three elements each: cde,bde,bce,bcd,acd,ace,acd,abe,abd,abc
I'll leave the reast to you.
Cheers,
Stan H.
=======================
4.with four elements each
5.with five elements each

You can put this solution on YOUR website!

(a)







solutions:



or




(b)







solutions:



or




(c)






solutions:


...to four decimal places
or


..to four decimal places

You can put this solution on YOUR website!
1) x^3y^4/xy^2 = x^2y^2
2)3a^5b^6/a^2b^3 = 3a^3b^3
3) 6y^3/12y^7 = 1/2y^4
4) p^-3/p^-7.5 = p^4.5
5 (a^3b^-3c^0)^-3
(a^-9b^9c^0)
(a^-9 b^9)
Hope this helps.
:-)

You can put this solution on YOUR website!
x+y=7
x-9y=-13
-------------
Subtract and solve for "y":
10y = 20
y = 2
-----
Solve for "x":
x + y = 7
x + 2 = 7
x = 5
===============
Cheers,
Stan H.
===============

You can put this solution on YOUR website!
x=5,y=2

You can put this solution on YOUR website!
x+y=7.........1
x-9y=-13......2
Subtract 1 from 2
10y = 20
y = 2
Substitute y = 2
in Eq (1)
x + y = 7
x + 2 = 7
x = 7 - 2
x = 5
x = 5 y = 2
Hope this helps.
:-)

You can put this solution on YOUR website!
The gasoline gauge on a van initially read 1/8 full. When 9 gallons were added to the tank, the gauge read 1/2 full. How many more gallons are needed to fill the tank?

Let x = the number of gallons the tank holds when full.

Then initially the tank contained x gallons.

Then when 9 gallons were added, it contained x + 9.

Therefore. our equation comes from:





Multiply through by the LCD of 8

x + 72 = 4x
    72 = 3x
    24 = x

So the tank holds 24 gallons.

Answer:  When it is half full, it holds 12 gallons, therefore 12
more gallons are needed to fill the tank.

Edwin

You can put this solution on YOUR website!
1/2 - 1/8 = 3/8
Therefore 3/8 = 9 galls
1 full tank = 9*8/3
1 full tank = 24 gallons
1/8 of 24 galls = 3 gallons
So, 3 gallons in initially
9 gallons added to 1/2 mark
12 gallons require to be added to
the tank to fill it.
Hope this helps.
:-)

You can put this solution on YOUR website!

You can put this solution on YOUR website!
1.$1,967.15
2.$1,997.62
3.$2,009.62
4.$1,013.76

You can put this solution on YOUR website!
If angle A + angle B = 150 degrees
then angle C = 180 - 150 = 30 degrees.
If angle B + angle C = 100 degrees
then angle A = 180 - 100 = 80 degrees.
Then angle B = 180 - (30 + 80)
= 180 - 110
= 70 degrees
Angle A = 80 degrees
Angle B = 70 degrees
Angle C = 30 degrees
Hope this helps.
:-)

You can put this solution on YOUR website!
Formula for volume of cylinder=
Pi*r^2*h
Vol = Pi*r^2 *h
462 = Pi*r^2*8
r^2 = 462/Pi*8
r^2 = 18.38
r = square root of 18.38
r = 4.29 inches
diameter = 8.57 inches.
Hope this helps.
:-)

You can put this solution on YOUR website!
15ways

You can put this solution on YOUR website!
3years

You can put this solution on YOUR website!
Complementary angles:
Two angles whose measures add to degrees.

Supplementary angles:
Two angles whose measures add to degrees
you have ; so, they are supplementary angles

You can put this solution on YOUR website!
y - b = m(x - a)
y -(-2) = 6/7(x - 4)
y + 4 = 6/7x - 24/7
y = 6/7x - 24/7 - 28/7 (4)
y = 6/7x -52/7
This is the equation or
you can multiply through by 7
7y = 6x - 52
Hope this helps.
:-)

You can put this solution on YOUR website!
3x + 2y = 12......1
5x - 4y = -2......2
Multiply (1) by 2
6x + 4y = 24......3
5x - 4y = -2......2
Add (1) to(2)
11x = 22
x = 2
Substitute x = 2
into Eq(1)
3x + 2y = 12
3(2) + 2y = 12
6 + 2y = 12
2y = 12 - 6
2y = 6
y = 3
x = 2 y = 3
Hope this helps.
:-)

You can put this solution on YOUR website!
Formula for volume of cube = length^3
Cube root of 54 = 3.7797cm
Surface area of cube = length^2 x 6
= 85.7cm^2
Hope this helps.
:-)

You can put this solution on YOUR website!
x^2 + 4x = 45
Change the side of the 45
changing its sign
x^2 + 4x - 45= 0
Now you need to find two numbers
that multiply together to give you -45
and add together to give you +4
5 x 9 = 45
Keep the larger number positive
and make the smaller on negative
-5 x +9 = -45
-5 + 9 = 4
(x - 5)(x + 9) = 0
Hope this helps.
:-)

You can put this solution on YOUR website!
150 km/ 2.5 hours
= 60 km/hr
Hope this helps.
:-)

You can put this solution on YOUR website!
200 questions in 4 hours (240 mins)
1 question in 240/200
1 question in 1.2 minutes
Hope this helps
:-)

You can put this solution on YOUR website!
Find the gradient of BC
Formula: y2 - y1/x2 - x1
11-(-1)/4 - 6
12/-2
-6
As an altitude is at right angles
to the line it emerges from, the
gradient of the line BC and the
gradient of the altitude will
multiply together to give -1
m1 x m2 = -1
So, if the gradient of BC is -6
then the gradient of the altitude
is 1/6.
Setting up the equation:
Using y - b = m(x - a) with m = 1/6 Coords of A (2,1)
y - 1 = 1/6(x - 2)
y - 1 = 1/6x - 2/6
y = 1/6x - 2/6 + 6/6 (1)
y = 1/6x + 4/6
This is the equation but you can
multiply through by 6
6y = x + 4
Hope this helps.
:-)

You can put this solution on YOUR website!
a = sum of their ages 3 years ago 80 = sum of their ages now
3 = number of persons
3 = number of years ago

a = 80 - (3)(3)
a = 80 - 9
a = 71

You can put this solution on YOUR website!
2 is the only even prime number. All other prime numbers are odd.

The sum of an odd number of odd numbers is odd. Since there are five prime numbers (that's an odd number of numbers), if they were all odd then the sum would be odd.

Since the sum is even, one of the five prime numbers must be even. It must be 2, the only even prime number.

You can put this solution on YOUR website!