Answer:
Amount June get = £45
Step-by-step explanation:
Given:
Total amount divided = £150
Amount Nick get = 2 x Amount June get
Amount June get = 3 x Amount Sushil get
Find:
Amount divided between Nick June and Sushil
Computation:
Assume;
Amount Sushil get = a
Amount June get = 3 x Amount Sushil get
Amount June get = 3a
Amount Nick get = 2 x Amount June get
Amount Nick get = 2 x 3a
Amount Nick get = 6a
Amount Sushil get + Amount June get + Amount Nick get = Total amount
So,
a + 3a + 6a = 150
10a = 150
a = 15
So,
Amount Sushil get = £15
Amount June get = 3a
Amount June get = 3 x 15
Amount June get = £45
Amount Nick get = 6a
Amount Nick get = 6 x 15
Amount Nick get = £90
An axiom in Euclidean geometry states that in space, there are <u>2</u> points that <u>lie on the same line</u>.
This is called the two-point postulate. According to Euclidean geometry, in space, there are at least two points, and through these points, there exists exactly one line. This means that there is only one single line that could pass between any two points. This is a mathematical truth. It is known as an axiom because an axiom refers to a principle that is accepted as a truth without the need for proof.
Answer:
a)
<u>The angle formed by intersecting chords is half of the sum of the intercepted arcs:</u>
- 1/2(mST + mPR) = m∠PUR
- 1.2(74° + mPR) = 77°
- 74° + mPR = 2*77°
- mPR = 154° - 74°
- mPR = 80°
b)
<u>The angle formed by two tangents is the half of the difference of the intercepted arcs:</u>
- m∠PSR = 1/2(mPTR - mPR)
- m∠PSR = 1/2(247° - (360° - 247°))
- m∠PSR = 247° - 180°
- m∠PSR = 67°
Answer:
There are closed addition.
Step-by-step explanation:
Closure (mathematics) ... For example, the positive integers are closed under addition, but not under subtraction: is not a positive integer even though both 1 and 2 are positive integers. Another example is the set containing only zero, which is closed under addition, subtraction and multiplication.
So, 0,2,5 are closed addition
Please mark me brainliest.
Answer:
a) Mean, E(X) = - 0.5
Variance = = 9.25
b) 
or
⇒ 
⇒ 
Step-by-step explanation:
Given:
moment generating function of X as:
MX(t) = 
a) Now
Mean, E(X) = 
Thus,
or
also,
Thus,
or
Therefore,
Mean, E(X) = 
or
Mean, E(X) = - 0.5
and
or
= 9.5
also,
Variance(X) = E(X²) - E(X)²
⇒ 9.5 - (-0.5)²
= 9.25
b) Now,
Let f(x) be the PMF of X
Thus,
or
⇒
⇒
Therefore,
at x = 0, P(x) = 
at x= - 4 ,P(x) = 
at x = 5, P(x) = 
Thus,
E(X) =
or
E(X) = - 0.5
also,
= 9.5
Hence,
Var(X) = E(X²) - E(X)²
⇒ 9.5 - (-0.5)²
= 9.25
