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OLEGan [10]
3 years ago
5

Marta is 5 feet 4 inches tall, and casts a 12-foot shadow. a nearby tree casts a 25-foot shadow. how tall is the tree, rounded t

o the nearest foot?
Mathematics
1 answer:
attashe74 [19]3 years ago
7 0
The trees height rounded to the nearest foot is 12 inches.
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Lotteries are an important income source for various governments around the world. However, the availability of lotteries and ot
SashulF [63]

Answer: 0.0473

Step-by-step explanation:

Given : The proportion of gambling addicts : p=0.30

Let x be the binomial variable that represents the number of persons are gambling addicts.

with parameter p=0.30 , n= 10

Using Binomial formula ,

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

The required probability = P(x>5)=P(6)+P(7)+P(8)+P(9)+P(10)\\\\=^{10}C_6(0.3)^6(0.7)^{4}+^{10}C_7(0.3)^7(0.7)^{3}+^{10}C_8(0.3)^8(0.7)^{2}+^{10}C_9(0.3)^9(0.7)^{1}+^{10}C_{10}(0.3)^{10}(0.7)^{0}\\\\=\dfrac{10!}{4!6!}(0.3)^6(0.7)^{4}+\dfrac{10!}{3!7!}(0.3)^7(0.7)^{3}+\dfrac{10!}{2!8!}(0.3)^8(0.7)^{2}+\dfrac{10!}{9!1!}(0.3)^9(0.7)^{1}+(1)(0.3)^{10}\\\\=0.0473489874\approx0.0473

Hence, the required probability = 0.0473

5 0
2 years ago
90% of a number is x . What is 100% of the number? Assume x>0
mariarad [96]

Step-by-step explanation:

Let the required number be n

\therefore \:  \frac{90}{100}  \times n = x \\  \\ \therefore \:  \frac{9}{10}   \\  \\  \therefore \:n = \frac{10}{9} x \\  \\  \therefore 100\% \: of\:n = \frac{10}{9} x \times 100\% \\  \\  = \frac{10}{9} x \times \frac{100}{100}  \\  \\  =  \frac{10}{9} x  \\

NOTE: A number is always 100% in itself.

3 0
2 years ago
What is the value of the expression when n = 3?<br> GO<br> - 2 n(5 + n-8-3n)
lukranit [14]

Answer:

54

Step-by-step explanation:

since n = 3

= -2n ( 5n+n-8-3n)

= -2 (3) ( 5+(3)-8-3(3) )

= -6 (5+3-8-9)

= -6 (5-5-9)

= -6 (-9)

= 54.

8 0
3 years ago
Zoe says an equilateral triangle is always an acute triangle, but an acute triangle is never an equilateral triangle. Which stat
miv72 [106K]

Answer:

Step-by-step explanation:

Discussion

She is correct.

An equilateral triangle is a specific acute triangle. An acute triangle can never be an equilateral triangle because it has 3 unequal angles. Your best choice is likely C, but none of the choices are first rate choices.

Answer: C

7 0
2 years ago
Second derivative test for:<br> y= e^x (x^2 -7x +13)
borishaifa [10]
Hello 
<span>y= e^x (x^2 -7x +13)
y' = (</span>e^x)' (x^2 -7x +13)+e^x (x^2 -7x +13)'
y' = e^x(x^2 -7x +13)+e^x (2x-7)
y" = e^x(x^2 -7x +13)+e^x (2)
y"=e^x(x^2 -7x +15)
6 0
3 years ago
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