Answer:
12
Step-by-step explanation:
x will be the age of her younger brother
34 = 2x + 10
She is ten more than twice his age
34 = 2x + 10
- 10 - 10
Then she twice his age
24 = 2x
÷2 ÷2
So his age is 12
x = 12
Answer:
the scatter plots shows a positive association.
Answer:
0.04 or 4%
Step-by-step explanation:
point estimate of proportion:
(0.6+0.68)/2
1.28/2
0.64
Margin of error:
0.68 - 0.64 = 0.04
0.04×100 = 4%
Answer:
114.5 in³
Step-by-step explanation:
Volume of cone:
⅓ × 3.14 × 8² × 12
= 803.84 cm³
Volume of hemisphere:
⅔ × 3.14 × 8³
= 1071.786667 cm³
Total = 803.84 + 1071.786667
= 1875.626667 cm³
1 cm = 0.393701 inches
1 cm³ = 0.393701³ inches
Volume in in³:
1875.786667/0.393701³
= 114.4579471 in³
Answer:
y=(1/5)x-5
Step-by-step explanation:
The given equation is
y=(1/5)x+4
This is of the form
y=mx+b
which is called the slope-intercept form because
m is the slope
b is the y intercept.
In this case,
m=1/5
b=4
you can see from the chart that this matches the red line.
If two lines are parallel, they must have the same slope. So we know that the slope of the desired line is 1/5. So, now we know that
y=(1/5)x+b
Since the line must go through the point (5,-4), we have
-4=(1/5)(5)+b
-4=1+b
b=-5
So, the desired line is
y=(1/5)x-5
