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3 years ago

Which best explains whether point G can be the centroid?

Mathematics

1 answer:

wariber [46]3 years ago

6 0

The answer is C.
Point G can be centroid because 12:6 equals 2:1

FG = 6
FC = 18
so
GC = 12

12:6 = 2:1

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What is greater 1/3 or 3/5

8090 [49]

3/5 is greater the. 1/3

4 0

3 years ago

A number increased by 35

OleMash [197]

Answer:

x+35

Step-by-step explanation:

3 0

3 years ago

In a survey of 1,000 television viewers, 40% said they watch network news programs. For a 90% confidence level, the margin of er

ElenaW [278]

Answer: The margin of error = $3\%$

Step-by-step explanation:

Given

Sample size (n) = 1000

Population proportion = 0.4

$\alpha$ = 1 - confidence level

= 1 - 0.95

= 0.05

$margin\; of\; error = z_{\frac{\alpha }{2}}\sqrt{\frac{{\widehat{p}}{(1 -\widehat{p})}}{n}}$

$margin\; of\; error = z_{\frac{0.05 }{2}\sqrt{\frac{{(0.4)}{(1 -0.4)}}{1000}}$

$= z_{0.025}\sqrt{\frac{{(0.4)}{(0.6)}}{1000}}$

$= 1.96\sqrt{\frac{{(0.4)}{(0.6)}}{1000}}$

= 0.03

The margin of error change to $2.5\%$ to $3\%$

6 0

4 years ago

if $5,000 is invested at an interest rate of 4% each year what is the value of the investment in 5 years? write an exponential f

____ [38]

Assuming it's compounded interest:

5000* 1.04 ^5

5 0

3 years ago

Read 2 more answers

How do I solve these systems of equations?

ruslelena [56]

1. -x+9y=-5
x-5y=1
-----------------
x=1+5y
-(1+5y)+9y=-5
-1-5y+9y=-5
-1+4y=-5
4y=-5-(-1)
4y=-5+1=-4
4y=-4
y=-4/4=-1
So x=1+5y=1+5(-1)=1-5=-4
Answer: x=-4, y=-1. (-4, -1).

2) -7x-y=13
8x+y=-14
------------------
y=-14-8x
-7x-(-14-8x)=13
-7x+14+8x=13
14+x=13
x=13-14=-1
y=-14-8(-1)=-14+8=-6.
Answer: x=-1, y=-6. (-1, -6).

3) x+7y=24
x-9y=-24
----------------
x=24-7y
24-7y-9y=-24
24-16y=-24
16y=24-(-24)=24+24=48
y=48/16=3
x=24-7(3)=24-21=3
Answer: x=3, y=3. (3, 3).

4). 3x+y=-21
x+y=-5
-------------------
x=-5-y
3(-5-y)+y=-21
-15-3y+y=-21
-15-2y=-21
2y=-15-(-21)=-15+21=6
y=6/2=3
x=-5-3=-8.
Answer: x=-8, y=3. (-8, 3).

5) 3x+6y=6
9x-12y=18
---------------
Simplify 3x+6y=6 will get you x+2y=2,
x=2-2y,
9(2-2y)-12y=18
18-18y-12y=18
18-30y=18
30y=18-18=0
y=0/30=0
x=2-2(0)=2-0=2
Answer: x=2, y=0. (2, 0).

6) 6x+8y=26
-7x+2y=-19
-----------------
-4(-7x+2y)=-4(-19)
28x-8y=76
---------------------------
6x+8y=26
28x-8y=76
-----------------
34x=102
x=102/34=3
6(3)+8y=26
18+8y=26
8y=26-18=8
y=8/8=1
Answer: x=3, y=1. (3, 1)

BONUS:
-5x+5y=-25
3x+2y=10
---------------
Simplify -5x+5y=-25 you will get x-y=5
x=y+5
3(y+5)+2y=10
3y+15+2y=10
5y+15=10
5y=10-15=-5
y=-5/5=-1
x=-1+5=4
Answer: x=4, y=-1. (4, -1).

6 0

3 years ago