Answer:
A point has no dimension and a line has one dimension.
Step-by-step explanation:
Answer: 151
Step-by-step explanation:
When the prior estimate of population proportion is available , then the formula for sample size: ![n=p(1-p)(\dfrac{z^*}{E})^2](https://tex.z-dn.net/?f=n%3Dp%281-p%29%28%5Cdfrac%7Bz%5E%2A%7D%7BE%7D%29%5E2)
, where p= prior estimate of population proportion
z*= critical-value.
E= Margin of error.
Let p be the proportion of of girls "wait for their missionary".
p = 11% =0.11
E= ± 0.03
The critical z-value corresponding to 90% confidence level = z*=1.645 [using z-table ]
Substitute all the values in the above formula , we get
Required sample size :![n=(0.11)(1-0.11)(\dfrac{(1.96)}{0.05})^2](https://tex.z-dn.net/?f=n%3D%280.11%29%281-0.11%29%28%5Cdfrac%7B%281.96%29%7D%7B0.05%7D%29%5E2)
![\Rightarrow\ n=(0.11)(0.89)(39.2)^2](https://tex.z-dn.net/?f=%5CRightarrow%5C%20n%3D%280.11%29%280.89%29%2839.2%29%5E2)
[Rounded to next integer.]
Thus, the number of observations he needs in his sample = 151
Answer is: 111.847
Method:
1 m/s = 2.23693629 mi/hr
Therefore ->
50 (m/s) * 2.23693629 (mi/hr) = 111.847 mi/hr
(Thanks to google)
A line perpendicular to y = (1/4)x+3 will have slope -4.
<span>This is because when you multiply the slopes of the original line and the perpendicular line, you get -1. (1/4)(-4)=-1 </span>
<span>The equation of the perpendicular line is </span>
<span>y=-4x+b </span>
<span>This line pases through (0,6) </span>
<span>6=-4(0)+b </span>
<span>b=6 </span>
<span>y=-4x+6 is the line </span>
Answer:
One pecan costs $8. One apple costs $9.
Step-by-step explanation:
p and a are number of number of pecan and apple sold, respectively.
:::::
"1 pecan cheesecake and 4 apple cheesecakes for $44"
p + 4a = 44
"14 pecan cheesecakes and 14 apple cheesecakes for $238"
14p + 14a = 238
You have a system of two equations in two unknowns:
p + 4a = 44
14p + 14a = 238
:::::
Eliminate the p terms: Multiply the first equation by -14, then add the product to the second equation.
-14p - 56a = -616
14p + 14a = 238
------------------------
-42a = -378
a = (-378)/(-42) = 9
p = 44-4a = 8
One pecan costs $8. One apple costs $9.