Answer:
P(N)=0.3
Step-by-step explanation:
Given: P(M)= 0.46, P(M and N)=0.138
Using P(M) ×P(N)= P(M and N)
⇒0.46×P(N)= 0.138
⇒P(N)= 
⇒P(N)=0.3
Answer:
4.62%
Step-by-Step Explanation:
Ask yourself: "3 is what percent of 65?" and solve.
Percentage solution with steps:
Step 1: We make the assumption that 65 is 100% since it is our output value.
Step 2: We next represent the value we seek with <em>x</em>.
Step 3: From step 1, it follows that 100%=65.
Step 4: In the same vein, x%=3.
Step 5: This gives us a pair of simple equations:
100%=65(1)
x%=3(2)
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
100% / x% =65 / 3
Step 7: Taking the inverse (or reciprocal) of both sides yields
x% / 100% =3 / 65
---> x = 4.62%
Therefore, 3 is 4.62% of 65.
Answer:
Options (2) and (5)
Step-by-step explanation:
Given ratio is a : b and b : c
[Option 2]
b × b = a × c
b² = ac
If a = b,
b² = bc
b = c [Option 5]
Therefore, Options (2) and (5) are the correct options.
Answer:
the height of the flagpole is three fourths the height of the school. the difference in there heights is 4.5 m. what is the height of the school?
----------
Equation:
f = (3/4)s
s-f = 4.5
----
Substitute for "f" and solve for "s":
s-(3/4)s = 4.5
(1/4)s = 4.5
s = 4*4.5
s = 18 meters (height of the school)
---------------
Since f = (3/4)s, f = (3/4)(18)
= (3/2)(9)= 13.5 meters (height of the flag pole)
===============================-step explanation: HOPE THIS HELPS
Answer:
95% confidence interval: (0.5717,0.8283)
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 49
p = 70% = 0.7
Alpha, α = 0.05
The confidence interval can be calculated as:
Putting the values, we get,
95% confidence interval: (0.5717,0.8283)
