Answer:
Multiply each expression by the same number.
Step-by-step explanation:
Answer:
Step-by-step explanation:
a) Estimate for population mean = Sum/n =
b) Variance = 0.099208
Std dev = 0.314974
Std error = 0.0950
For 95% margin of error = 1.96*Std error
=0.1861
Confidence interval = 
Interpretation of confidence interval:
A) if repeated samoles are taken, 95% of them will have a sample pH of rain water between [ ] & [ ].
For 99% CI, z value = 2.59
Conf interval = (4.6790, 5.1710)
C)if repeated samoles are taken, 99% of them will have a sample pH of rain water between [ ] & [ ].
As the level of confidence increases l, the width of the interval[ increases] this makes sense since the [ margin of error] [increases]
We have that
the total <span>sold tickets is -------------------------- >600
</span>
the probability of winning with 1 ticket
<span>P=1/600=0.001667---------------- > 0.17%
</span>the probability of winning with 8 ticket
P=(1/600)*8=0.0133---------------- > 1.33%
<span>
the answer is </span>1.33%<span>
</span>
The slope intercept form is y = mx + b
you need to find the equation that has a slope of 3/4 and passes through (4,1/3)
Plug in the given into the equation
y = 3/4x + b
to solve for the y-intercept, plug in the given coordinate that the line passes through
1/3 = 3/4(4) + b
1/3 = 3 + b
subtract 3 from both sides
-8/3 = b
now back to the slope intercept equation
y = mx + b
plug in the slope and y-intercept
y = 3/4x - 2 2/3
or
y = 3/4x - 8/3
Hope this helps :)
Answer:
Step-by-step explanation:
The easiest way to think about increasing area is by taking a square, if you double the dimensions, let's say they were 1 by 1 and then was made into a 2x2 square, you can fit four of the original cube (1x1) into the 2x2. So when the dimensions are doubled the area is quadrupled.
Even easier shortcut:
Take the cube idea, when the dimensions are messed with for anything, (works for volume too) always think of the smaller piece as 1x1 or 1x1x1. Then if the dimensions are double make it 2x2 or 2x2x2. If the dimensions are tripled then do 3x3 or 3x3x3, etc... 1x1=1x1x1, they are both equal to 1. So think of that as the numerator. the 2x2 in this case is equal to 4 so the smaller piece is 1/4 of the bigger one. Shown with volume if you double the dimensions of a cube that was 1x1x1 into 2x2x2. 1x1x1 still equals 1 so that's still the numerator and 2x2x2 is equal to 8 so the 1x1x1 cube is 1/8 of the 2x2x2, in other words you can fit eight 1x1x1 cubes into the 2x2x2 cube.
Hope this helps with area and volume.
