3 and 1 over 10 becasue 10 goes into 30 3 times
Answer:
Step-by-step explanation:
p = .3
n = 150
p(bar ) = 1 - p = .7
=.037
b )
P ( .2 <p<.4 ) = P [ (.2 - .3) / .037 < z < ( .4 - .3 ) / .037 ]
= P [ (-2.7 < z < +2.7 ]
= .9965-.0035
= .993
c )
P ( .25 <p<.35 ) = P [ (.25 - .3) / .037 < z < ( .35 - .3 ) / .037 ]
= P [ (-1.35 < z < +1.35 ]
= .9115 - .0885
= .823
Answer:
B false
Step-by-step explanation:
The Theorem states that for a right triangle,
a^2 + b^2 = c^2
where c is the hypotenuse and a and b are the two shorter sides.
So does our given lengths work? Let's see:
16^2+30^2=35^2
256+900=1225
1156=1225
1156≠1225
And as we can see, the two sides do not equal each other, so this means the sides do not make a right triangle.
Step-by-step explanation:
5x-12=13
5x -12 =13
+12=+12
<u>5x</u>= <u>25</u>
5 =. 5
x=5
A.) Since there are no restrictions as to the dimensions of the candle except that their volumes must equal 1 cubic foot and that each must be a cylinder, we have the freedom to decide the candles' dimensions.
I decided to have the candles equal in volume. So, 1 cubic foot divided by 8 gives us 0.125 cubic foot, 216 in cubic inches.
With each candle having a volume of 216 cubic inches, I assign a radius to each: 0.5 in, 1.0 in, 1.5 in, 2.0 in, 2.5 in, 3.0 in, 3.5 in, and 4.0 in. Then, using the formula of the volume of a cylinder, which is:
V=pi(r^2)(h)
we then solve the corresponding height per candle. Let us let the value of pi be 3.14.
Hence, we will have the following heights (expressed to the nearest hundredths) for each of the radius: for
r=2.5 in: h=11.01 in
r=3.0 in: h= 7.64 in
r=3.5 in: h= 5.62 in
r=4.0 in: h= 4.30 in
r=4.5 in: h= 3.40 in
r=5.0 in: h= 2.75 in
r=5.5 in: h= 2.27 in
r=6.0 in: h= 1.91 in
b. each candle should sell for $15.00 each
($20+$100)/8=$15.00
c. yes, because the candles are priced according to the volume of wax used to make them, which in this case, is just the same for all sizes
