Answer:
the median is 15
Explanation:
you can find the median by arranging the numbers from smallest to largest and finding the number in the middle.
5 14 15 <u>15</u> 16 17 18
in this case, the number in the middle is 15 so the median for this data set is 15.
i hope this helps! :D
The sum of the angles of a triangle is 180º.
We have three angles:
∠yxz=3x+5
∠xzy=180º-(8x-14)
∠xyz=4x
Therefore:
(3x+5º) + [180º-(8x-14º)]+(4x)=180º
3x-8x+4x=180º-5º-14º-180º
-x=-19º
x=19º
∠yxz=3x+5º =3(19º)+5º=62º
∠xzy=180º-(8x-14)=180º-(8(19º)-14)=42º
∠xyz=4x=4(19º)=76º
Answer: m∠yxz= 62º.
Put numbers in order: 4,5,6,6,7,8,9,9,10,10,12,12,14,15
Cut the list into two equal parts: 4,5,6,6,7,8,9 and 9,10,10,12,12,14,15
Find middle numbers: 4,5,6,6,7,8,9 and 9,10,10,12,12,14,15
Lower quartile: 6
Upper quartile: 12
The difference of the values of the first and third quartiles of the data set is 12 - 6 = 6
Answer:
Step-by-step explanation:
Question (1). An alloy contains zinc and copper in the ratio of 7 : 9.
If the weight of an alloy = x kgs
Then weight of copper =
=
And the weight of zinc =
=
If the weight of zinc = 31.5 kg
31.5 =
x =
x = 72 kgs
Therefore, weight of copper =
= 40.5 kgs
2). i). 2 : 3 =
4 : 5 =
Now we will equalize the denominators of each fraction to compare the ratios.
=
Since,
Therefore, 4 : 5 > 2 : 3
ii). 11 : 19 =
19 : 21 =
By equalizing denominators of the given fractions,
And
Since,
Therefore, 19 : 21 > 11 : 19
iii).
=
Now we equalize the denominators of the fractions,
And
Since
Therefore, will be the answer.
IV).
Similarly,
By equalizing the denominators,
Similarly,
Since
Therefore,
V). If a : b = 6 : 5
And b : c = 10 : 9
Since a : b = 12 : 10
And b : c = 10 : 9
Since b = 10 is common in both the ratios,
Therefore, combined form of the ratios will be,
a : b : c = 12 : 10 : 9