Answer:
Option C
Step-by-step explanation:
The standard form of equation of a cirle is:
(x-h)^2+ (y-k)^2=r^2
In the given question as the point is given and the radius of circle is given:
So,
(h,k)=(2,-1)
and
r=3
Here,
h=2
k= -1
Putting the values of h,k and r in standard form
(x-2)^2+ (y-(-1))^2=(3)^2
(x-2)^2+ (y+1)^2=(3)^2
So the equation of circle is:
(x-2)^2+ (y+1)^2=9(3)^2
Option C is the correct answer ..
Answer:
Circumference of Circle B=19.625cm
Step-by-step explanation:
The circumference formula is: 2pie(r) = pie(d)
We have diameter of the first circle which is 6. Now, because the diameter of second circle is 25% greater than this,
Hence, we add 25% in 6:
6+25/100 =6+0.25=6.25 cm
Therefore, we have diameter of 6.25 for circle B.
Now, we need to find the circumference of the Circle A.
circumference= pie(d) = pie(6)= 3.14times6= 18.84
Now use the proportional reasoning to find Circumference of Circle B:
circumference of Circle A/diameter Circle A = circumference of Circle B/diameter Circle B
18.84/6=circumference of Circle B/6.25
Cross multiply and divide:
(18.84times6.25)/6 = Circumference of Circle B
Solve:
Circumference of Circle B=19.625cm
Hope this helps!
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Answer:
70
Step-by-step explanation:
700 / 10 = 70
Answer:
59 to 66
Step-by-step explanation:
Mean test scores = u = 74.2
Standard Deviation = 
= 9.6
According to the given data, following is the range of grades:
Grade A: 85% to 100%
Grade B: 55% to 85%
Grade C: 19% to 55%
Grade D: 6% to 19%
Grade F: 0% to 6%
So, the grade D will be given to the students from 6% to 19% scores. We can convert these percentages to numerical limits using the z scores. First we need to to identify the corresponding z scores of these limits.
6% to 19% in decimal form would be 0.06 to 0.19. Corresponding z score for 0.06 is -1.56 and that for 0.19 is -0.88 (From the z table)
The formula for z score is:
For z = -1.56, we get:
For z = -0.88, we get:
Therefore, a numerical limits for a D grade would be from 59 to 66 (rounded to nearest whole numbers)
The answer will be D 15m+2n
