Answer:
40
Step-by-step explanation:
area of shaded region = area of whole figure - area of non shaded region
area of whole figure: The whole figure is a rectangle
The area of a rectangle can simply be calculated by multiplying the width by the length
The given width is 10ft and the given length is 8ft
Hence area of whole figure = 10 * 8 = 80ft²
Area of non shaded region: the non shaded region also creates a rectangle
Like stated previously the area of a rectangle can simply be calculated by multiplying the width by the length
The given width is 5ft and the given length is 8ft
Hence, area of non shaded region = 5 * 8 = 40ft²
Finally we can find the area of the shaded region.
We can easily do this my subtracting the area of the nonshaded region from the area of the whole figure
If we have identified that the area of the whole figure is 80 and the area of the non shaded region is 40
Then, area of shaded region = 80 - 40 = 40ft²
Answer: a) z=1.43
b) 0.1528
Step-by-step explanation:
The given set of hypothesis :


Since the alternative hypothesis
is two-tailed , so we perform two-tailed test.
Also, it is given that : A random sample of n=76 Americans found 28 with brown eyes.
Sample proportion: 
a) The z-statistic would be :-


b) P-value for two-tailed test = 2P(Z>|z|)= 2P(z>|-1.43|)
=2P(z>1.43)
=2(1-P(z≤1.43)
=2-2P(z≤1.43)
= 2-2(0.9236)[Using standard z-table]
= 2-1.8472=0.1528
Hence, the P-value of the test= 0.1528
Complete question :
The diameter of the ferris Given is 63 feets
Answer:
3165 feets
Step-by-step explanation:
Given that :
Diameter of ferris = 63 feets
Recall :
Circumference of a circle = 2 * pi * Radius
Or
Circumference = pi * d
Hence,
Circumference of wheel = 3.14 * 63 = 197.82 feets
Distance traveled during one ride :
Circumference of wheel * number of revolutions
197.82 * 16 = 3165.12
= 3165 feets (nearest whole number)
28:13 is the answer i’m pretty for sure
To find the number of terms in the arithmetic sequence, we need to use the formula
where

is the nth number,

is the first number, n is the number of terms and d is the difference of the two consecutive numbers.
7373 = 1313 + (n - 1)(303)
7373 = 1313 + 303n - 303
7373 = 1010 + 303n
7373 - 1010 = 303n
6363 = 303n
6363 ÷ 303 = n
n = 21
Therefore, there are 21 terms in the arithmetic sequence given.