Answer:
.25 .75
.44 .56
Step-by-step explanation:
To find the relative frequency, we take the part over the total.
Since this is a relative frequency table, the total for each row is 1
Group 1 A = 15/ (15+45) = 15/60 = .25
Group 1 B = 45/(15+45) = 45/60 = .75
Group 2 A = 20 /(20+25) = 20/45 =.44
Group 2B = 25/(20+25) = 25/45 =.56
Answer:
Step-by-step explanation:
for 1st week=1 ¢
for 2nd week= 2¢
for 3rd week= 4¢
for 4th week=8¢
for 5th week=16¢
for 6th week=32¢
for 7th week=64¢
for 8th week=64+64=128¢
for 9th week= 128+128=256¢
for 10th week= 256+256=512¢
.: he saved a total of
1+2+4+8+16+32+64+128+256+512=1023¢
1023¢=1023/100=$10.23
Answer:
<h2>C. (3, -4)</h2>
Step-by-step explanation:
If the system of linear equations is graphed, then the solution is the intersection of lines.
Read it from the graph (look at the picture).
Answer:
the common ratio is either 2 or -2.
the sum of the first 7 terms is then either 765 or 255
Step-by-step explanation:
a geometric sequence or series of progression (these are the most common names for the same thing) means that every new term of the sequence is created by multiplying the previous term by a constant factor which is called the common ratio.
so,
a1
a2 = a1×f
a3 = a2×f = a1×f²
a4 = a3×f = a1×f³
the problem description here tells us
a3 = 4×a1
and from above we know a3 = a1×f².
so, f² = 4
and therefore the common ratio = f = 2 or -2 (we need to keep that in mind).
again, the problem description tells us
a2 + a4 = 30
a1×f + a1×f³ = 30
for f = 2
a1×2 + a1×2³ = 30
2a1 + 8a1 = 30
10a1 = 30
a1 = 3
for f = -2
a1×-2 + a1×(-2)³ = 30
-10a1 = 30
a1 = -3
the sum of the first n terms of a geometric sequence is
sn = a1×(1 - f^(n+1))/(1-f) for f <>1
so, for f = 2
s7 = 3×(1 - 2⁸)/(1-2) = 3×-255/-1 = 3×255 = 765
for f = -2
s7 = -3×(1 - (-2)⁸)/(1 - -2) = -3×(1-256)/3 = -3×-255/3 =
= -1×-255 = 255
I believe the slope of the line is 1/3
