Answer:19 to the 5th power
Step-by-step explanation:
U got to count all the zeros and that will be the number u put on top plus 19
Answer:
The percentage of the bag that should have popped 96 kernels or more is 2.1%.
Step-by-step explanation:
The random variable <em>X</em> can be defined as the number of popcorn kernels that popped out of a mini bag.
The mean is, <em>μ</em> = 72 and the standard deviation is, <em>σ</em> = 12.
Assume that the population of the number of popcorn kernels that popped out of a mini bag follows a Normal distribution.
Compute the probability that a bag popped 96 kernels or more as follows:
Apply continuity correction:
*Use a <em>z</em>-table.
The probability that a bag popped 96 kernels or more is 0.021.
The percentage is, 0.021 × 100 = 2.1%.
Thus, the percentage of the bag that should have popped 96 kernels or more is 2.1%.
Answer:
The number of butterflies he collects = 176
The number of moth he collects = 44
Step-by-step explanation:
This question has to do with ratio.
We are told in the question that:He collects 4 butterflies for every moth.
Hence, the ratio of
Butterflies : Moth
4 : 1
Sum of the proportion = 4 + 1 = 5
We are also told he has a total of 220 butterflies and moths.
Hence:
The number of butterflies he collects is calculated as
4/5 × 220 = 176 butterflies
The number of moth that he collects =
1/5 × 220 = 44 moth
Answer:
1. 200 in.^2
2.
Step-by-step explanation:
1. Area of a trapezium=1/2(a+b)height
a=14 in.
b=20 in.+6 in. = 26 in.
height= ?
height can be gotten by using
formula : Soh Cah Toa
Toa is tangent∆= opposite/ adjacent
∆ = 60°
opp=? adj=6 in.
Tan 60° =opp/6 in.
Tan 60° = 1.732
1.732= opp/ 6 in.
opp=1.732*6 in.
opp = 10.392 approximately= 10 in.
Area of trapezium= 1/2*(14+26)*10(in.^2)
Area of trapezium= 1/2*40*10
= 1/2*400
= 200 in.^2 .
2. Area of triangle= 1/2* base* height
for first triangle =
base=4m
height =15m
Area: 1/2*4*15 ,1/2*60= 30m^2
second triangle =
base:?
height: 15m
using Pythagorean theorem;
hyp^2 = opposite ^2 + adjacent ^2
17^2 = 15^2 + adj^2
289= 225 + adj^2
adj^2 = 289-225= 64
square root
adj = 8m
area of second triangle : 1/2*8*15
: 1/2*120 :60m^2
total area: 30 m^2 +60m^2
==90 m^2
Hello!
The first step to solving this equation would be to distribute the 8 to x+7 to simplify the equation:
(8*x)+(8*7)=104
8x+56=104
The second step would be to then subtract 56 from both sides to isolate 8x:
8x+56-56=104-56
8x=48
Finally, the last step would be to divide both sides by 8 to solve for x:
8x/8=48/8
x=6
Your final answer would be x=6
Hope this helps, and Happy New Year!
