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2 years ago

Compare using >, <, or =. 11 yards_51 feet

Mathematics

2 answers:

erastova [34]2 years ago

7 0

Answer:

Step-by-step explanation:

one yard=3 feet so

33ft < 51 feet

Artemon [7]2 years ago

7 0

Answer: 11 yards < 51 feet

Step-by-step explanation:

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A coin, having probability p of landing heads, is continually flipped until at least one head and one tail have been flipped. (a

Natali [406]

Answer:

(a)

The probability that you stop at the fifth flip would be

$p^4 (1-p) + (1-p)^4 p$

(b)

The expected numbers of flips needed would be

$\sum\limits_{n=1}^{\infty} n p(1-p)^{n-1} = 1/p$

Therefore, suppose that $p = 0.5$ , then the expected number of flips needed would be 1/0.5 = 2.

Step-by-step explanation:

(a)

Case 1

Imagine that you throw your coin and you get only heads, then you would stop when you get the first tail. So the probability that you stop at the fifth flip would be

$p^4 (1-p)$

Case 2

Imagine that you throw your coin and you get only tails, then you would stop when you get the first head. So the probability that you stop at the fifth flip would be

$(1-p)^4p$

Therefore the probability that you stop at the fifth flip would be

$p^4 (1-p) + (1-p)^4 p$

(b)

The expected numbers of flips needed would be

$\sum\limits_{n=1}^{\infty} n p(1-p)^{n-1} = 1/p$

Therefore, suppose that $p = 0.5$ , then the expected number of flips needed would be 1/0.5 = 2.

7 0

2 years ago

Dori spent 1/5 of her money on a toy boat and scuba goggles. The toy boat cost 2 times as much as the goggles. The toy boat cost

Korolek [52]

Answer:

Dori has $48 left.

Step-by-step explanation:

The boat costs twice as much as the goggles, divide 8 by 2 to find the price of the goggles. The price of the goggles is $4.

Add $8 and $4 to get $12. This is the total money Dori spent.

Since this is 1/5 of her money, multiply $12 by 5 to get $60. This is the money Dori had.

Subtract the $12 from the $60 to get $48. This is the money Dori has left.

4 0

2 years ago

PLZ HELP WILL GIVE BRAINLIEST WORTH 10 PTS THX!!

antiseptic1488 [7]

Answer:

64/49

Step-by-step explanation:

The applicable rules of exponents are ...

(a^b)^c = a^(bc)

(a^b)(a^c) = a^(b+c)

a^-b = 1/a^b

a^0 = 1

_____

Using these rules, we can simplify the given expression to ...

$\left(\dfrac{8\cdot 4\cdot 2}{8\cdot 7}\right)^2\times\left(\dfrac{8^0}{7^{-3}}\right)^3\times 7^{-9}\\\\=\dfrac{8^2}{7^2}\times(8^{0\cdot 3}\cdot 7^{3\cdot 3})\times 7^{-9}\\\\=\dfrac{64}{49}\times(8^07^{9-9})=\boxed{\dfrac{64}{49}}$

6 0

2 years ago

Read 2 more answers

MATHHHHHH I NEED HELP PLEASE!!!!!

Olin [163]

Answer:

so at (0,20) she spent all the money on (20) orange juice and 0 coffee

then at (15,0) she spent all the money on (15) coffee and 0 orange juice

Step-by-step explanation:

3 0

2 years ago

Evelyn and Meredith decided to kayak 1 mile up and then back in the Humboldt channel.

Yakvenalex [24]

The rate of the water flowing in the channel was 2 miles per hour, the rate Evelyn and Meredith were paddling is mathematically given as

v+ = 2.29 1mile/hour

<h3>What is the rate Evelyn and Meredith were paddling?</h3>

Generally, the equation for the up and downstream motion is mathematically given as

vup=v-2

vdown=v+2

Therefore, Statement interpretation

2/3=40*1/60

3+2/3hr=11/3

Where, tup+tdown=11/3

tup+tdown=11/3

1/Vup+1/vdown=11/3

Considering the LCD equation

3(v-2)(V+2)

Hence

$\frac{3(v-2)(v+2)}{v-2}+\frac{3(v-2)(v+2)}{v+2}=\frac{11(3)(v-2)(v+2)}{3}\\\\3(v+2)+3(v-2)=11(v+2)(v-2)$

11v^2-6v-44=0

$v=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Resolving using the equation we have

v+ = 2.29 1mile/hour

v- = -1.745 mile hour