35km; Since the points on the map are one millionth of their actual size, simply multiply by one million and convert from there.
35*1,000,000 = 35,000,000mm
35,000,000/1000 = 35,000m
35,000/1000 = 35km
Answer:
y = 7.8x + 26
Step-by-step explanation:
Given the following :
Pearson's r = 0.78
Average consumption of ice cream = 5 grams per week (m) with Standard deviation (sd) = 1.5 grams
Average weight = 65 kg with standard deviation of 15kg
Formular for the regression line :
General regression formula :
y = mx + c
y = predicted variable ; m = slope or gradient ; x = predictor variable ; c = intercept
Gradient (m) = change in y / change in x
m = (sd y / sd x) * r
m = (sd weight / sd ice cream) × r
m = (15 / 1.5) × r
m = 10 × 0.78 = 7.8
Intercept:
mean of weight(y) - [Slope×mean of icecream(x)]
65 - [7.8 × 5]
65 - 39 = 26
Hence,
y = 7.8x + 26
Answer:
Step-by-step explanation:
We know that when there is an absolute value sign, the value inside the bars is always positive.
- => I3x + 3I = 10
- => 3x + 3 = 10
- => 3x = 10 - 3
- => 3x = 7
- => x = 7/3
- => x = 2.33 (Rounded to nearest hundredth)
Hence, the value of x is 2.33.
Answer: 150 would be the answer hun
Step-by-step explanation:
Answer: 74.8%
This answer is approximate.
The value is rounded to the nearest tenth of a percent.
==========================================
Explanation:
Let,
X = area of the larger circle
Y = area of the smaller circle
Z = area of the shaded region = X - Y
The goal is to compute the ratio Z/X to get the answer we want
Let's find area of the larger circle
Area of circle = pi*(radius)^2
A = pi*r^2
X = pi*8.01^2
X = 64.1601pi
This is the exact area in terms of pi
Now repeat for the smaller circle
A = pi*r^2
Y = pi*4.02^2
Y = 16.1604pi
Subtract those results to find the value of Z
Z = X-Y
Z = 64.1601pi-16.1604pi
Z = 47.9997pi
This is the exact area of the red donut region
Divide Z over X to get the probability of landing in the red region
Z/X = (47.9997pi)/(64.1601pi)
Z/X = (47.9997)/(64.1601) <--- note how the pi terms cancel
Z/X = 0.74812 which is approximate
Convert to a percent
Move the decimal point 2 spots to the right
0.74812 ---> 74.812%
Then round this to one decimal place
74.812% ---> 74.8%
