Answer:
400 yd
Step-by-step explanation:
There are 2 ft of ribbon for 1 doll.
For 600 dolls,
Ribbon = 600 × 2/1
Ribbon = 1200 ft
=====
Convert feet to yards
1 yd = 3 ft
Ribbon = 1200 × 1/3
Ribbon = 400 yd
hope it really helps.....!!!!
Hello!
The surface area of a sphere is found by using the formula: SA = 4πr².
Figure 1
In the first figure, the radius is given which is 18 meters. With that, we can substitute the value of the radius into the formula and solve.
SA = 4π(18)²
SA = 4(324)π
SA = 1296π, 4071.50 (multiplied by π), 4069.44 (multiplied by 3.14)
Therefore, the surface area of figure one is 1296π m².
Figure 2
In the second figure, the diameter of the circle is given. The radius is half the diameter, so to find the radius, you need to divide the diameter by 2.
14 mm / 2 = 7 mm
With that, we can find the surface area of figure two, using the formula.
SA = 4π(7)²
SA = 4(49)π
SA = 196π, 615.75 (multiplied by π), 615.44 (multiplied by 3.14)
Therefore, the surface area of figure two is 196π mm².
Answer:
Option 4 - 0.8508
Step-by-step explanation:
Given : A multiple choice test consists of 60 questions. Each question has 4 possible answers of which one is correct. If all answers are random guesses.
To find : Estimate the probability of getting at least 20% correct ?
Solution :
20% correct out of 60,
i.e. 
Minimum of 12 correct out of 60 i.e. x=12
Each question has 4 possible answers of which one is correct.
i.e. probability of answering question correctly is 
Total question n=60.
Using a binomial distribution,
![P(X\geq 12)=1-[P(X=0)+P(X=1)+P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)+P(X=6)+P(X=7)+P(X=8)+P(X=9)+P(X=10)+P(X=11)]](https://tex.z-dn.net/?f=P%28X%5Cgeq%2012%29%3D1-%5BP%28X%3D0%29%2BP%28X%3D1%29%2BP%28X%3D0%29%2BP%28X%3D1%29%2BP%28X%3D2%29%2BP%28X%3D3%29%2BP%28X%3D4%29%2BP%28X%3D5%29%2BP%28X%3D6%29%2BP%28X%3D7%29%2BP%28X%3D8%29%2BP%28X%3D9%29%2BP%28X%3D10%29%2BP%28X%3D11%29%5D)
![P(X\geq 12)=1- [^{60}C_0(0.25)^0(1-0.25)+^{60-0}+^{60}C_1(0.25)^1(1-0.25)^{60-1}+^{60-1}+^{60}C_2(0.25)^2(1-0.25)^{60-2}+^{60}C_3(0.25)^3(1-0.25)^{60-3}+^{60}C_4(0.25)^4(1-0.25)^{60-4}+^{60}C_5(0.25)^5(1-0.25)^{60-5}+^{60}C_6(0.25)^6(1-0.25)^{60-6}+^{60}C_7(0.25)^7(1-0.25)^{60-7}+^{60}C_8(0.25)^8(1-0.25)^{60-8}+^{60}C_9(0.25)^9(1-0.25)^{60-9}+^{60}C_{10}(0.25)^{10}(1-0.25)^{60-10}+^{60}C_{11}(0.25)^{11}(1-0.25)^{60-11}]](https://tex.z-dn.net/?f=P%28X%5Cgeq%2012%29%3D1-%20%5B%5E%7B60%7DC_0%280.25%29%5E0%281-0.25%29%2B%5E%7B60-0%7D%2B%5E%7B60%7DC_1%280.25%29%5E1%281-0.25%29%5E%7B60-1%7D%2B%5E%7B60-1%7D%2B%5E%7B60%7DC_2%280.25%29%5E2%281-0.25%29%5E%7B60-2%7D%2B%5E%7B60%7DC_3%280.25%29%5E3%281-0.25%29%5E%7B60-3%7D%2B%5E%7B60%7DC_4%280.25%29%5E4%281-0.25%29%5E%7B60-4%7D%2B%5E%7B60%7DC_5%280.25%29%5E5%281-0.25%29%5E%7B60-5%7D%2B%5E%7B60%7DC_6%280.25%29%5E6%281-0.25%29%5E%7B60-6%7D%2B%5E%7B60%7DC_7%280.25%29%5E7%281-0.25%29%5E%7B60-7%7D%2B%5E%7B60%7DC_8%280.25%29%5E8%281-0.25%29%5E%7B60-8%7D%2B%5E%7B60%7DC_9%280.25%29%5E9%281-0.25%29%5E%7B60-9%7D%2B%5E%7B60%7DC_%7B10%7D%280.25%29%5E%7B10%7D%281-0.25%29%5E%7B60-10%7D%2B%5E%7B60%7DC_%7B11%7D%280.25%29%5E%7B11%7D%281-0.25%29%5E%7B60-11%7D%5D)
Therefore, option 4 is correct.
The answer is c, intercept form.
