Answer:
0.6395 ; 0.9657 ; 0.7333
Step-by-step explanation:
Given that:
Mean (m) = 10.1
Standard deviation (s) = 2.8
Obtain the following probabilities :
a) less than 10 minutes
P(x < 10)
Z = (x - m) / s
Z = (10 - 10.1) / 2.8
Z = 0.1 / 2.8
Z = 0.0357142
P(Z < 0.357) = 0.6395 ( Z probability calculator)
(b) longer than 5 minutes
P(x > 5)
Z = (x - m) / s
Z = (5 - 10.1) / 2.8
Z = −1.821428
P(Z < - 1.821) = 0.9657 ( Z probability calculator)
(c) between 8 and 15 minutes
P(8 < x < 15)
P(x < 8)
Z = (x - m) / s
Z = (8 - 10.1) / 2.8
Z = − 0.75
P(Z < - 0.75) = 0.22663 ( Z probability calculator)
P(x < 15)
Z = (x - m) / s
Z = (15 - 10.1) / 2.8
Z = 1.75
P(Z < 1.75) = 0.95994 ( Z probability calculator)
P(Z < 1.75) - P(Z < - 0.75)
0.95994 - 0.22663 = 0.7333
Answer:
Perimeter of Square Q = 49
Step-by-step explanation:
given:
sides P:Q = 2:7
side length of P = 3.5.
First, determine length of side Q by using the ratio
The perimeter is 4 times the length of the side
So, Perimeter of square Q = 4 *(7*3.5)/2 = 49
Slope is -2/5 and y-intercept is 2
Step-by-step explanation:
- Step 1: Write the equation in slope-intercept form y = mx + b
2x + 5y = 10
5y = -2x + 10
y = -2/5 x + 10/5
y = -2/5 x + 2
- Step 2: Find the slope and y-intercept from the equation.
Slope, m = -2/5
y-intercept, b = 2
Answer:
8.1 inches
Step-by-step explanation:
Area of a triangle = ½ × base × height = Area
Rearranged =
Base is the length by the way.
=8.1 inches
Answer:
The points represent that <u>5 miles </u> were hiked in <u>3 hours.</u>
Step-by-step explanation:
So, lets go over what we need to know.
The x coordinates is the time.
The y coordinates is the miles.
We have (3, 5)
This is (x, y)
x = 3, and y = 5. Considering what we know above, the time is 3 hours, and the miles is 5.
To fill in the boxes, it asks "Blank miles are hiked in blank hours"
We know 5 miles are hiked in 3 hours.
So the fill in for the first part is 5, and the fill in for the second part is 3.
Hope this helps!
