The two recipes are proportional to each other.
<u>Explanation:</u>
Given:
Amount of flour initially = 14 cups
Amount of sugar = 6 cups
Ratio of flour to sugar initially = 14 / 6
= 7 : 3
Changed amount of flour is 7 cups
Changed amount of sugar = 3 cups
So,
14 - x = 7
x = 7
6 - y = 3
y = 3
The ratio of flour to sugar after changing the amount = 7 : 3
Therefore, the two recipes are proportional to each other.
Answer:
(a) yes it does
(b) the rate is constant because the rate of change (slope) is the same throughout the function.
(c) The rate, or rate of change, is -1/2.
y1 - y2/x1-x2
4 - 2/3 - 9
2/-6
-1/2
Answer:
2x-2
Step-by-step explanation:
Being specifically asked to rationalise the denominator we focus on it as required.
To rationalise a term it has to be multiplied by its inverse.
The inverse of

is

Multiplying this two vives us a difference of two squares

which gives us
x-(2-x)
=2x-2
Answer:
a. yes it is a binomial experiment
b. success is that baby recovers
c. n = 6
d. p = 0.5
e. q = 0.5
f. X: 0,1,2,3,4,5,6
Step-by-step explanation:
a.
the answer is<u> </u><u>yes</u><u> </u><u>this</u><u> </u><u>is</u><u> </u><u>a</u><u> </u><u>bino</u><u>mial</u><u> </u><u>experiment</u><u>.</u><u> </u>This is true because we have a finite number of babies and these babies are independent of each other. there are two possible outcomes. 1. baby recovers 2. baby does not recover.
b.
success: baby recovers
c.
n = number of babies born with ailment. n = 6
d.
p = 50% = 0.5
e.
q = 1-p = 1-0.5
q = 0.5
f.
possible values of X: 0,1,2,3,4,5,6
Answer:
The distribution of distance of ambulance from accident is 
Step-by-step explanation:
- Let X and Y be the random variables associated as
X=Position of Ambulance on Road
Y=Location of Occurrence of Accident
It is known about X & Y that
- X & Y are normally distributed
- X & Y independent of each other.
The joint density function is given as

This is true for (x,y)∈
otherwise it is equal to zero.
- Let Z be the random variable giving distance between X and Y so

- The cumulative distribution of Z is given as

Here P(Z>a) is given as following on basis of the 2-d plot of X & Y points such that their difference is greater than a variable a.

Substituting in the above equation

Now fZ(a) is given as

So the distribution of distance of ambulance from accident is 