First, you should find a common denominator:
Turn 2/5 into 4/10 by multiplying by 2.
Then, find the difference in your fractions:
7/10 - 4/10 = 3/10.
Your answer is 3/10.
Answer:
C. y= 6x-5
Step-by-step explanation:
Given Information :
Slope (m) = 6
y-intercept (b) = -5
Equation of a line :
y=mx+b
Where :
m = slope
b = y-intercept
So , with the given the information , the equation is :
Answer:
Area = 42.43 square cm
Step-by-step explanation:
Using Heron's Formula :
<em><u>Find Area :</u></em>
<em><u></u></em>
Answer:
a. E(x) = 3.730
b. c = 3.8475
c. 0.4308
Step-by-step explanation:
a.
Given
0 x < 3
F(x) = (x-3)/1.13, 3 < x < 4.13
1 x > 4.13
Calculating E(x)
First, we'll calculate the pdf, f(x).
f(x) is the derivative of F(x)
So, if F(x) = (x-3)/1.13
f(x) = F'(x) = 1/1.13, 3 < x < 4.13
E(x) is the integral of xf(x)
xf(x) = x * 1/1.3 = x/1.3
Integrating x/1.3
E(x) = x²/(2*1.13)
E(x) = x²/2.26 , 3 < x < 4.13
E(x) = (4.13²-3²)/2.16
E(x) = 3.730046296296296
E(x) = 3.730 (approximated)
b.
What is the value c such that P(X < c) = 0.75
First, we'll solve F(c)
F(c) = P(x<c)
F(c) = (c-3)/1.13= 0.75
c - 3 = 1.13 * 0.75
c - 3 = 0.8475
c = 3 + 0.8475
c = 3.8475
c.
What is the probability that X falls within 0.28 minutes of its mean?
Here we'll solve for
P(3.73 - 0.28 < X < 3.73 + 0.28)
= F(3.73 + 0.28) - F(3.73 + 0.28)
= 2*0.28/1.3 = 0.430769
= 0.4308 -- Approximated
Answer- 120
Solution-
There are digits to be arranged,they are {3,3,2,3,4,5}. And from those ,3 digits are repeated .
so the total number of distinct number that can be formed = 
= 
= <em>120</em><em> </em>(ans)
