Answer:
2/3
Step-by-step explanation:
(6 -4) / (2 - (-1)) =(2) / (2+1) = 2/3
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
Answer:
"In each figure the total area is equal and the area of the 4 triangles is equal, so the remaining white area in each figure must also be equal."
Step-by-step explanation:
Both figures make up congruent squares, and they are made up of 4 congruent triangles, so the white area in between must be equal between the two figures
Answer:
240
Step-by-step explanation:
1 percent=10 dollars
10 percent=100 dollars
=120 dollars in one year
times 2 [2x]=
240
Check:
10 times 10=100 dollars
100+20=120
x2=
120+120 <em>or</em> 120 times 2=
240
log(x) + log(3) = log(18)
log(x) + 0.477121 = 1.255273
Add -0.477121 to both sides.
log(x) + 0.477121 + −0.477121 = 1.255273 + −0.477121
log(x)+0 = 0.778152
Divide both sides by 1.
log(x)+0/1 = 0.778152/1
log(x)=0.778152
Solve Logarithm
log(x) = 0.778152
10log(x) = 100.778152
x = 100.778152
x = 6.00001
