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Andrei [34K]
3 years ago
7

What is the area of this figure? 168 102 132 340

Mathematics
1 answer:
JulsSmile [24]3 years ago
8 0
Area of square =6*6= 36 cm^2
Area of trapezoid =1/2( base1+base2)*height
base 1=7
base2=21-6=15
height=6
Area of trapezoid =1/2( 7+15)*6= 66 
whole area = area of square + area of trapezoid= 36+66=102
Answer 102

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The probability that a male will be colorblind is .042. Find the probabilities that in a group of 53 men, the following are true
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Answer:

See below for answers and explanations

Step-by-step explanation:

<u>Part A</u>

\displaystyle P(X=x)=\binom{n}{x}p^xq^{n-x}\\\\P(X=5)=\binom{53}{5}(0.042)^5(1-0.042)^{53-5}\\\\P(X=5)=\frac{53!}{(53-5)!*5!}(0.042)^5(0.958)^{48}\\\\P(X=5)\approx0.0478

<u>Part B</u>

P(X\leq5)=P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)\\\\P(X\leq5)=\binom{53}{1}(0.042)^1(1-0.042)^{53-1}+\binom{53}{2}(0.042)^2(1-0.042)^{53-2}+\binom{53}{3}(0.042)^3(1-0.042)^{53-3}+\binom{53}{4}(0.042)^4(1-0.042)^{53-4}+\binom{53}{1}(0.042)^5(1-0.042)^{53-5}\\\\P(X\leq5)\approx0.9767

<u>Part C</u>

\displaystyle P(X\geq 1)=1-P(X=0)\\\\P(X\geq1)=1-(1-0.042)^{53}\\\\P(X\geq1)\approx1-0.1029\\\\P(X\geq1)\approx0.8971

6 0
2 years ago
Evan is making a table that will be created in the shape of the figure below. The table top is a triangle attached to a rectangl
Yakvenalex [24]
Given:
Triangle:
height = 6ft
base = 4ft

Rectangle:
length = x
Width = 6 ft

Surface Area = 150ft²

Area of a Triangle = h*b / 2 = (6ft * 4ft) / 2 = 12ft²

Area of a rectangle = Surface Area - Area of a Triangle
A = 150 ft² - 12 ft² = 138 ft²

138 ft² = x * 6ft
138 ft² / 6 ft = x
23 ft = x.
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Tcecarenko [31]

Answer:

its A

Step-by-step explanation:

Hope it helps

6 0
3 years ago
Inside a toy truck, there is a gear that rotates to (3, −8) when the steering wheel is turned to the left. What is the sine valu
Marianna [84]
This is the the concept of trigonometry, to get the sine value of the the function given we shall proceed as follows;
Using Pythagorean theorem, the hypotenuse of the triangle will be found as follows;
The side length will be 8 units since the y-coordinate is -8
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Therefore the sine value will be:
sin x=3/sqrt(73)
multiply both numerator and denominator by sqrt(73) we get:
sin x=(3√73)/73

Therefore the answer is A]
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A bicycle company has designed and built a new model of sports bicycle. They have determined that the profit for the sale of the
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The answer would be c)$120
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