Answer:
Z_{0.005}>Z H₀ is wrong and other is correct. IT means $35000 is not mean value.
Step-by-step explanation:
Two hypothesis:
H₀=$35,000
Hₐ≠$35,000
Test Formula:
Where:
X is the mean value=$37,900
u is the value with 0.01 significance=$35000
S is the standard deviation
n is the sample size
Z=1.507
Z with 0.01 significance:
0.01/2=0.005=0.05%
Degrees of freedom=14-1=13
From t distribution table at 0.05% and 13 dof:
=4.221
So
Z_{0.005}>Z H₀ is wrong and other is correct. IT means $35000 is not mean value.
D=dimes
q=quarters
d + q = 20
.10d + .25q = 3.05
d=-q + 20
.10(-q + 20) +.25q = 3.05
-.10q + 2 + .25 = 3.05
.15q + 2 = 3.05
.15q + 2 - 2 = 3.05 - 2
.15q = 1.05
.15q/.15 = 1.05/.15
q = 7
d + 7 = 20
d + 7 - 7 = 20 - 7
d = 13
Sally has 7 quarters and 13 dimes.
Hope this helps!
Answer:
Step-by-step explanation:
You subtract 310 from 25 and get 285 then you multiply 285 x 21 and I believe that should solve this equation.
Answer:
C. 47°
Step-by-step explanation:
The angle between the terminal ray of 227° and the nearest x-axis (the negative x-axis) is ...
227° -180° = 47°
The reference angle is 47°.
_____
In mathematical terms the reference angle is the minimum of the angle modulo 180° and the supplement of that angle.
227° modulo 180° = 47°
180° -47° = 133° . . . . supplement of 47°
min(47°, 133°) = 47° . . . the reference angle
