What is the total area, in square inches, of the shaded sections of the trapezoid below?

Mathematics

2 answers:

postnew [5]3 years ago

7 0

Answer:

A = 31.92 in^2

Step-by-step explanation:

Area of a triangle is 1/2(b*h)

So, you would take 1/2(5.4 * 4.8) + 1/2(7.9 * 4.8) which gives you 31.92

slamgirl [31]3 years ago

6 0

Answer:

area of the shaded region of trapezoid = 31.92 in²

Step-by-step explanation:

area of both the shaded triangle = 12.96 + 18.96 = 31 .92 sq inches

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The probability of drawing a heart from a standard deck of cards is 0.25. You record the car do you draw and return the car befo

Licemer1 [7]

Answer: C) 0.112

Step-by-step explanation:

In binomial distribution with parameters n (Total trails) and p (probability of getting success sin each trial) , the probability of getting success in x trials is given by :-

$P(X=x)=^nC_xp^x(1-p)^{n-x}$

Given : The probability of drawing a heart from a standard deck of cards is 0.25

Here , getting heart is the success.

Then p= 0.25

For n= 20

The probability that you will draw a heart seven times i.e. x= 7:

$P(X=7)=^{20}C_7(0.25)^7(1-0.25)^{20-7}$

$P(X=7)=\dfrac{20!}{7!(20-7)!}(0.25)^7(1-0.25)^{20-7}\ \ [\because\ ^nC_r=\dfrac{n!}{r!(n-r)!}]$

$=\dfrac{20\times19\times18\times17\times16\times15\times14\times13!}{7!13!}(0.25)^7(0.75)^{13}\\\\=77520(0.00006103515625)(0.0237572640181)\\\\=0.112406195476\approx0.112$