Answer:
a8 = 512.
Step-by-step explanation:
This is geometric sequence with common ratio r = 2 and first term a1 = 4.
nth term = a1 r^(n-1)
So a8 = 4 2(^8-1)
= 4 * 2^7
= 4*128 = 512.
Answer:
$570
Step-by-step explanation:
I=PRT/100
I=$45.60,P=?,R=2%,T=4years
make P the subject of the formula
P=100I/RT
P=100x45.60/2x4
P=4560/8
P=$570
Answer: b) 84
Step-by-step explanation:
Let p be the prior estimate of the required proportion.
As per given , we have
p =0.5 (The probability of getting heads on a fair coin is 0.5)
Significance level : 
Critical z-value (using z-value table ) : 
Confidence interval width : w= 0.18
Thus , the margin of error : 
Formula to find the sample size ( if prior estimate of proportion is known.):-
Substitute the values , we get
Simplify ,
[Round of to the next whole number.]
Hence, the number of times we would have to flip the coin =<u>84</u>
hence, the correct answer is b) 84
Answer:
Rhombus
Step-by-step explanation:
Shape of a playground is a quadrilateral
It is given that all sides of a quadrilateral are= 27 feet
Since all the sides of a quadrilateral are equal that it can be either a rhombus or it can be a square
Two angle are 65° each
And other two angers are 115° each
65°+ 115°= 180°
It forms a co-interior angle
Hence the quadrilateral is a parallelogram
Since all the four sides of parallelogram are equal, than the given figure must be rhombus
Hence, geomatric shape best describes the shape of the playground is Rhombus.
Answer:
6
Step-by-step explanation:
The equation for this would be:
n+8=14, since we are adding 8 to a number and getting 14
To solve, isolate the variable n, by subtracting 8 from both sides
n+8=14
n+8-8=14-8
n=6
The number is 6
