Answer:
The probability is 0.683
Step-by-step explanation:
To calculate this, we shall be needing to calculate the z-scores of both temperatures
mathematically;
z-score = (x-mean)/SD
From the question mean = 78 and SD = 5
For 73
z-score = (73-78)/5 = -5/5 = -1
For 83
z-score = (83-78)/5 = 5/5 = 1
So the probability we want to calculate is within the following range of z-scores;
P(-1 <z <1 )
Mathematically, this is same as ;
P(z<1) - P(z<-1)
Using the normal distribution table;
P(-1<z<1) = 0.68269 which is approximately 0.683
Answer:
129 square foot
Step-by-step explanation:
<u>Step 1: Convert height of the door to inches</u>
Height of the door = 10 feet 8 inches
1 feet = 12 inches
10 feet = y inches
<em>Cross Multiply</em>
y = 120 inches
Height of door in inches = 120 + 8 =128 inches
<u>Step 2: Find the surface area of one side of the door</u>
Surface area = length x width
length = 128 inches
width = 145 inches
Surface area = 128 x 145
Surface area = 18560 inches
<u>Step 3: Convert surface area from inches to square foot</u>
Surface area = 18560 inches
1 square foot = 144 inches
y = 18560 inches
<em>Cross multiply</em>
144y = 18560
y = 18560/144
y = 128.89 rounded off to 129 square foot.
Therefore, you should report 129 square foot surface area to the hardware store.
!!
Answer:
is there more to the question
Wow, lots of points, easy qeustion and nobody anwering
ok so
basically solve for y
6x+4y=700
minus 6x from both sides
4y=-6x+700
divide both sides by 4
y=-3/2x+175
ok so
y=mx+b
m=slope
b=yintercept or where the line crosses the y axis
so
y=-3/2x+175
yintercept is 175 so go 175 units up on teh y axis and put a point there
slope is -3/2
slope=rise/run
go 3 units down and 2 units to the right from that first point you ploted
that is new point
connect the 2 points to get graph, or input a value for x and get a value for y to get a point
basically just find 2 differn points and connect them to graph
I have attached graph
If the value of cos(θ) is negative, this angle (θ) can only be in one of two quadrants; the sine quadrant or the tan quadrant. In the sine quadrant, tan(θ) must be negative, but since tan(θ) > 0, we can safely say that the angle (<span>θ) is based in the tan quadrant.
We know that cos(</span><span>θ) = - Adjacent / Hypotenuse, and in this case Adjacent = 2 and Hypotenuse = 5. Using Pythagoras' theorem, we can find the opposite side of the right angled triangle situated in the tan quadrant...
</span>Adjacent² + Opposite² = Hypotenuse²
Therefore:
2² + Opposite² = 5²
Opposite² = 5² - 2²
Opposite² = 21
Opposite = √(21)
------------
Now, sin(θ) must be negative, as the right angled triangle is in the tan quadrant. We also know that sin(<span>θ) = Opposite / Hypotenuse, therefore:
sin(</span><span>θ) = - [</span>√(21)]/[5]