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Ad libitum [116K]
3 years ago
12

The length of a shadow of a building is

Mathematics
1 answer:
timofeeve [1]3 years ago
6 0
H^2=x^2+y^2

35^2=29^2+y^2

y^2=35^2-29^2

y^2=384

y=√384

y≈19.60 m  (to the nearest hundredth of a meter, or nearest centimeter)

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A candy dish contains 30 jelly beans and 20 gumdrops. Ten candies are picked at random. What is the probability that 5 of the 10
AveGali [126]

Answer:

The probability of drawing 5 gumdrops in 10 picks from the dish is 0.215

Step-by-step explanation:

A hypergeometric distribution is a discrete probability distribution that describes the probability of successes in draws with each draw being a success or failure, without replacement from a finite population size that contains exactly the same objects. The general formula is given as:

h(x) =\frac{({A}C_{x})({N-A}C_{n-x})}{^{N}C_{n}  }

where:

^{n}C_{r}=\frac{n!}{(n-r)!r!}

h(x)  is the probability of x successes,

n is the number of attempts,

A is the number of successes  

N is the number of elements

For this problem:

A = 30, x = 5, N = 50, n = 10

The probability of drawing 5 gumdrops in 10 picks from the dish P(x=5) is

P(x=5)=\frac{({30}C_{5})({50-30}C_{10-5})}{^{50}C_{10}  }\\P(x=5)=\frac{({30}C_{5})({20}C_{5})}{^{50}C_{10}  }

P(x=5)=\frac{\frac{30!}{(30-5)!5!}*\frac{20!}{(20-5)!5!}  }{\frac{50!}{(50-10)!10!} }\\P(x=5)=\frac{\frac{30!}{25!5!}*\frac{20!}{15!5!}  }{\frac{50!}{40!10!} }

P(x=5)=\frac{142506*15504}{1.207*10^{10} }=0.215

P(x=5) = 0.215

The probability of drawing 5 gumdrops in 10 picks from the dish is 0.215

4 0
3 years ago
Easy + brainliest<br><br> 2x(^3) + 10x(^2) − 4x(^2)y − 20xy<br><br> factor this pls, (show all work)
Dimas [21]

Answer:

Answer:

2x • (x2 - 2xy + 5x - 10y)

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

(((2•(x3))+(10•(x2)))-(22x2•y))-20xy

Step  2  :

Equation at the end of step  2  :

(((2 • (x3)) +  (2•5x2)) -  22x2y) -  20xy

Step  3  :

Equation at the end of step  3  :

((2x3 +  (2•5x2)) -  22x2y) -  20xy

Step  4  :

Step  5  :

Pulling out like terms :

5.1     Pull out like factors :

 2x3 - 4x2y + 10x2 - 20xy  =

2x • (x2 - 2xy + 5x - 10y)

Final result :

2x • (x2 - 2xy + 5x - 10y)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Sara is building a circular garden with a radius of 14 m. She can buy the fencing in
mojhsa [17]

Answer:

she need to buy 9 packs

Step-by-step explanation:

C = 2πr

= 2·3.14·14

= 87.92 m

she need to buy 9 packs

5 0
3 years ago
Read 2 more answers
If angle KLJ~angle VWU. Find the x value
Alenkasestr [34]

Answer:

17

Step-by-step explanation:

Since angle KLJ~angle VWU are similar :

KL / WV = KJ/ UV

(25 / 20) = (4x - 23 / 2x + 2)

Cross multiply :

25(2x + 2) = 20(4x - 23)

50x + 50 = 80x - 460

50x - 80x = - 460 - 50

-30x = -510

x = 510 / 30

x = 17

5 0
3 years ago
If x = 9, what is the value of 6(x - 2)?
balandron [24]

Answer: 42

6(9-2)

= 6 * 7

= 42

3 0
2 years ago
Read 2 more answers
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