Step-by-step explanation:
given,
MP = x - 8
PN = 3x - 9
MN = 21
we know,
according to segment addition postulate AB + BC = AC
now,
MP + PN = MN
→ x - 8 + 3x - 9 = 21
→ 4x - 17 = 21
→ 4x = 21 + 17
→ 4x = 38
→ x = 38/4 = 9
→ x = 9
therefore, value of x is 9.
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Given :-
sam and Bethan shareare in the ratio 5:4 respectively.
Total no of money is = 54ÂŁ
Solution :-
Let Sams share is be x ie = 5
Let Bethans share be y ie = 4
Total no of share is = 9
Therefore the persons share is (particular persons share / total no of share) *
total value of money
Ans : -
Therefore sams share x is = (5/9)* 54 =30ÂŁ
Therefore Bethans share y is = (4/9) * 54 = 24ÂŁ
X=59 all triangles have a sum of 180. So we subtract our given. 180 - 74 = 106. Then we subtract our givin again. 106 - 47 and boom our answer is 59.
T<span>he mean of a sampling distribution of a sample with proportion, p and sample size, n is given by

.
</span>T<span>he standard deviation of a sampling distribution of a sample with proportion, p and sample size, n is given by

</span>Given that t<span>he
manufacturers of m&m's claim that 20% of the milk chocolate m&m
candies are orange. The proportion is p = 0.2
The mean of the
sampling distribution of the sample proportion of orange m&m's for
samples of size 100 is given by

</span><span>The standard deviation of the
sampling distribution of the sample proportion of orange m&m's for
samples of size 100 is given by

</span>
The slope-intercept form of a line:

We have:

Substitute:


Put the values of coordinates of the point (1, 5) to the equation of a line:

Answer: 