Let’s assume the point in the centre is the origin of the circle.
This means the radius is 21/2 = 10.5cm.
180 - 168 = 12 degrees as the angle between BC.
Circumference of a sector is:
Angle/360 • pi • diameter
=12/360 • pi • 21 cm
= 2.19 cm = 2.20 cm
Which is option B
Hello
Answer: The ratio of the first 6 months to the last 6 months is 0.765.
First, we need to determine the amount of money they had in each 6 month period.
In the first 6 months they had: 6 x 76500 = 459000
In the second 6 months they had: 6 x 100000 = 600000
Divide the 2 values to find the ratio: 459000 / 600000 = 0.765
Have a nice day
Compute the correlation coefficient for the data set. (2,19), (3,22), (4,26), (5,20), (6,35), (7,30), (9,40), (10,42), (11,35)
lakkis [162]
Answer:
The correlation coefficient of the data is 0.8679.
Step-by-step explanation:
The formula to compute the correlation coefficient is:
From the data provided compute the values of ∑ XY, ∑ X, ∑ Y, ∑ X² and ∑ Y².
The values are computed in the table below.
Compute the correlation coefficient as follows:
Thus, the correlation coefficient of the data is 0.8679.
Let the second car meets the first car after n hours.
Second car starts with 8km/h, After succeeding hours his speed increases by 0.5 km.
So, Distance travelled by second car = 8 + 8.5 + 9
..... 8+(n-1) 0.5.....(1)
eqn. (1) sum of n terms Of A.P with first term 8
and common difference 0.5.
Sum of all the terms in equation 1 is also equals to the distance travelled by the first car for n hours, i.e. 10n km .
Now, we have (n/2) {16+(n-1) 0.5} = 10n........(2)
From equation (2) we get, n= 9
Hence, Both the cars will meet after 9 hours.
Hope it helps!
Like 6 minutes or somthin
