Answer:
y=2/7x+2.5
Step-by-step explanation:
Answer:
z= 2.38
P = 0.008656
Step-by-step explanation:
Here n= 500 and p~= 464/500= 0.928 and q`= 1- 0.928 = 0.072
We formulate our null and alternate hypothesis as
H0 = 0.9 ; H0 > 0.9
The degree of confidence = 90%
z₀.₀₅ = 1.645 for α= 0.05
We use the test statistic
z= x- np/√npq
z= 466-500 *0.9/ √500 * 0.9(1-0.9)
z= 466- 450/ √45
z= 16/6.7082
z= 2.38
As the calculated value of z= 2.38 is greater than α =1.645 so we reject H0.
If H0 is true the P value is calculated as
P = 1- Ф( 2.38)
P = 1-0.991344=0.008656
Alan drew a rhombus, all four side are equal but none of the angles are right.
Answer:
<u>Given</u>
a.
<u>Volume of the half-sphere:</u>
- V/2 = 1/2*4/3*πr³ = 2/3*3.14*1.6³ = 8.6 cm³ (rounded)
b.
<u>Volume of the cylinder:</u>
- V = πr²h = 3.14*1.6²*6.2 = 49.8 cm³
c.
<u>Volume of the figure:</u>
- V = 8.6 + 49.8 = 58.4 cm³