Is the number 30?
(Extra words because I can't post without them)
Answer:
29.2
Step-by-step explanation:
Mean = 21.4
Standard deviation = 5.9%
The minimum score required for the scholarship which is the scores of the top 9% is calculated using the Z - Score Formula.
The Z- score formula is given as:
z = x - μ /σ
Z score ( z) is determined by checking the z score percentile of the normal distribution
In the question we are told that it is the students who scores are in the top 9%
The top 9% is determined by finding the z score of the 91st percentile on the normal distribution
z score of the 91st percentile = 1.341
Using the formula
z = x - μ /σ
Where
z = z score of the 91st percentile = 1.341
μ = mean = 21.4
σ = Standard deviation = 5.9
1.341= x - 21.4 / 5.9
Cross multiply
1.341 × 5.9 = x - 21.4
7.7526 = x -21.4
x = 7.7526 + 21.4
x = 29.1526
The 91st percentile is at the score of 29.1526.
We were asked in the question to round up to the nearest tenth.
Approximately, = 29.2
The minimum score required for the scholarship to the nearest tenth is 29.2 .
It would take 2521 years because 9200000000000/10000000 is 920000 and there's 365 days in a year so 920000/365 is 2520.5 so u round up a year to get 2521 years.
Answer:
Part 1) The trapezoid has an area of ![20\ m^2](https://tex.z-dn.net/?f=20%5C%20m%5E2)
Part 2) The kite has an area of
Part 3) The area of the trapezoid is less than the area of the kite
Step-by-step explanation:
Part 1
Find the area of trapezoid
we know that
The area of trapezoid is equal to the area of two congruent triangles plus the area of a rectangle
so
![A=2[\frac{1}{2} (2)(5)]+(2)(5)](https://tex.z-dn.net/?f=A%3D2%5B%5Cfrac%7B1%7D%7B2%7D%20%282%29%285%29%5D%2B%282%29%285%29)
Part 2
Find the area of the kite
we know that
The area of the kite is equal to the area of two congruent triangles
so
![A=2[\frac{1}{2} (7)(3)]=21\ m^2](https://tex.z-dn.net/?f=A%3D2%5B%5Cfrac%7B1%7D%7B2%7D%20%287%29%283%29%5D%3D21%5C%20m%5E2)
Part 3
Compare the areas
The trapezoid has an area of ![20\ m^2](https://tex.z-dn.net/?f=20%5C%20m%5E2)
The kite has an area of
so
![20\ m^2< 21\ m^2](https://tex.z-dn.net/?f=20%5C%20m%5E2%3C%2021%5C%20m%5E2)
therefore
The area of the trapezoid is less than the area of the kite
Answer:
Volume of the lid is 740in³
Step-by-step explanation:
Kindly find attached rough sketch of the lid
The volume of a triangular prism is expressed as
V= 1/2(a*c*h)
Where
a,is the height of triangular base = 4in
c, triangular base = 31in
h, height of the lid = 12in
Substituting our given data we have
V= 1/2(4*31*12)
V= 1488/2=744in³
To the nearest tenth is 740in³