Answer:
a. yes
b. no
c. no
d. no
e. yes
Step-by-step explanation:
Here, we want to answer yes or no for each of the numbers
a) Yes
If we compare with the general form
y = mx + b
m
is slope and b is y-intercept
so, 2 is slope and 3 is y intercept; so 3 in y-intercept is (0,3)
b. No
This is the point-slope form we are trying to
get
Evaluating this, we have that
y-3 = 2x - 6
y = 2x-6 + 3
y = 2x-3
c) NO
Just insert the values and check here
-1 = 2(5) + 3
it does not work
d) No
Substitute
-4 = 2(-5) + 3
e) Yes
This is the point-slope form
y + 3 = 2x + 6
y = 2x + 6-3 = 2x + 3
Answer:
option A
12m/s
Step-by-step explanation:
Given in the question,
mass of object = 11kg
kinetic energy possess by = 792 joules
To find the velocity we use formula
v = 
Plug values in the formula
v = 
v = 
v = 
v= 12 m/s
In simplest form (smallest possible answer) the ratio is equal to 2:3. But it is also equal to 4:6.
Answer:
<em>The answers are for option (a) 0.2070 (b)0.3798 (c) 0.3938
</em>
Step-by-step explanation:
<em>Given:</em>
<em>Here Section 1 students = 20
</em>
<em>
Section 2 students = 30
</em>
<em>
Here there are 15 graded exam papers.
</em>
<em>
(a )Here Pr(10 are from second section) = ²⁰C₅ * ³⁰C₁₀/⁵⁰C₁₅= 0.2070
</em>
<em>
(b) Here if x is the number of students copies of section 2 out of 15 exam papers.
</em>
<em> here the distribution is hyper-geometric one, where N = 50, K = 30 ; n = 15
</em>
<em>Then,
</em>
<em>
Pr( x ≥ 10 ; 15; 30 ; 50) = 0.3798
</em>
<em>
(c) Here we have to find that at least 10 are from the same section that means if x ≥ 10 (at least 10 from section B) or x ≤ 5 (at least 10 from section 1)
</em>
<em>
so,
</em>
<em>
Pr(at least 10 of these are from the same section) = Pr(x ≤ 5 or x ≥ 10 ; 15 ; 30 ; 50) = Pr(x ≤ 5 ; 15 ; 30 ; 50) + Pr(x ≥ 10 ; 15 ; 30 ; 50) = 0.0140 + 0.3798 = 0.3938
</em>
<em>
Note : Here the given distribution is Hyper-geometric distribution
</em>
<em>
where f(x) = kCₓ)(N-K)C(n-x)/ NCK in that way all these above values can be calculated.</em>
