Answer:
The area of the roof: ≈2287.44 ft^2, the lateral area of the roof:≈1580.58 ft^2
Step-by-step explanation:
The area of the roof is computed by the equation of the area of a cone:
A = πr(r + 
)
(r: radius, h: height, πr^2 is the area of the base of the cone, πr is the lateral area of the cone). So:
A = 
≈ 2287.44 ft^2.
As I stated earlier, the lateral area of the roof can be computed:
A
=
≈ 1580.58 ft^2.
Answer:
1. z = -1.91429
The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference
2. 2.7792%
Step-by-step explanation:
1. Relative to the WHO data, what is this girls z-score?
z score formula is:
z = (x-μ)/σ, where
x is the raw score = 44.5 cm
μ is the population mean = 47.18cm
σ is the population standard deviation = 1.40cm
z = 44.5 - 47.18/1.40
z = -1.91429
What does the z score tell us?
The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference
2. Using the WHO data in a normal model, what percentage of the girls has a head circumference that is smaller than the girl with Down's Syndrome?
z score = -1.91429
Probability value from Z-Table:
P(z =-1.91429) = P(x<44.5) = 0.027792
Converting to percentage = 0.027792 × 100
= 2.7792%
Answer:
y = 120
x = 10.6
Step-by-step explanation:
Given polygons are parallelograms.
In parallelograms, consecutive angles are supplementary which means their sum is equal to 180.
Since two parallelograms are similar:
60 + y = 180 subtract 60 from both sides
y = 120
To find the value of x:
side lengths are proportional because these are similar polygons
cross multiply fractions
18x + 72 = 264 subtract 72 from both sides
18x = 192 divide both sides by 18
x = 10.6 approximately
Volume=lengthXwidthXheight
far left— 8x8x20= 1280ft^3
middle— 60-8=52-20=32 so you find out the length of just that piece of solid
20-12=8 to find out width
8x8x32=2048ft^3
far right— 20x15x8=2400ft^3
volume of whole shape- add each value together 1280+2048+2400=5728ft^3
volume= measurement^3
<span>DOC]<span>Venn Diagram Task – Differentiation - Summer Summit
paste that into google and the last page is the answer sheet</span></span>
