A = 360 cm^2
Step-by-step explanation:
Using Pythagorean theorem, the length AB is given by
AB^2 = 17^2 - 8^2 = 225 cm^2
or
AB = 15 cm
Since the ratio BC: CD = 1:2 and BC = 8 cm, this means that CD = 2×(8 cm) = 16 cm
so the length BD is
BD = BC + CD = 8cm + 16 cm = 24 cm
There the area of the rectangle is
A = AB×BD
= 15cm×24cm
= 360 cm^2
Answer:
Step-by-step explanation:
Weekly wages at a certain factory are
normally distributed. The formula for normal distribution is expressed as
z= (x - u)/s
Where
u = mean
s = standard deviation
x = weekly wages
From the given information,
u = 400
s = 50
The probability that a worker
selected at random makes between
$350 and $400 is expressed as
P(350 lesser than or equal to x lesser than or equal to 400)
For x = 350
z = (350 - 400)/50 = -50/50 = -1
z = -1
From the normal distribution table, the corresponding z score is 0.1587
For x = 400
z = (400 - 400)/50 = 0/50 = 0
z = 0
From the normal distribution table, the corresponding z score is 0.5
P(350 lesser than or equal to x lesser than or equal to 400)
= 0.5 - 0.1587 = 0.3413
Answer:
(-7,-4)
Step-by-step explanation:
-6-1=-7
-9-(-5)=-4
Answer:

Step-by-step explanation:
Given
The attached table
Required
The relationship between both temperatures
<em>This implies that we calculate the table equation</em>
First, we calculate the slope (m)

Where:


So, we have:



The equation is then calculated using:

This gives:



Answer:
r = 2
Step-by-step explanation:
(2-3)/(6-5)
= -1/1
= -1