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3 years ago

Jenny has 4 feet of yarn. She cuts the yarn into 4 equal pieces. How long is each piece?

Mathematics

2 answers:

Maksim231197 [3]3 years ago

6 0

Answer:

1 foot

Step-by-step explanation:

Tatiana [17]3 years ago

4 0

1 foot each. 4/4 = 1

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Write-6/11 ×3/4 please answer quick

m_a_m_a [10]

-6/11 ×3/4
=> -6*3/11*4
=> -18/44
=> -9/22

Hope it helps !!!

5 0

3 years ago

Subtract the following complex numbers: (10-8i)-(13-10i) ??

patriot [66]

⇒ (10 - 8i) - (13 - 10i)

⇒ 10 - 8i - 13 + 10i

⇒ -3 + 2i

Option A is the Answer

3 0

3 years ago

What two whole numbers is 29−−√ between?: 3 and 4 4 and 5 5 and 6 6 and 7

jolli1 [7]

The two whole numbers are 5 and 6 ⇒ 3rd answer

Step-by-step explanation:

To prove that a square root number lies between which two consecutive integers do that

Find a square number less than the number under the root
Find a square number greater than the number under the root
Find the square root of the square numbers, they will be the two integers that the root lies between them

∵ The number is $\sqrt{29}$

- Find a square number less than 29

∵ 25 is a square number

∵ 25 is less than 29

- Find a square number greater than 29

∵ 36 is a square number

∵ 36 is greater than 29

∴ 25 < 29 < 36

- Take √ for each number

∴ $\sqrt{25}$ < $\sqrt{29}$ < $\sqrt{36}$

∵ $\sqrt{25}$ = 5

∵ $\sqrt{36}$ = 6

∴ 5 < $\sqrt{29}$ < 6

The two whole numbers are 5 and 6

Learn more:

You can learn more about the numbers in brainly.com/question/9621364

#LearnwithBrainly

8 0

3 years ago

A die is rolled. If you roll a 1, 2 or 3, you will toss 10 coins. If you roll a 4, 5 or 6, you will toss 20 coins. Let X denote

trasher [3.6K]

Answer:

a) The support of X is {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}

b) The mean of X is 7.5

c) The variance of X is 10

Step-by-step explanation:

a) Since you can toss up to 20 coins, and from that you can obtain any number of heads from 0 to 20, then the support of X {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}.

b) To compute the mean of X, we need to see how is the behavior of X. Since 3 dices will gives 10 coins to toss and the other 3 will give us 20, then there is a probability of 1/2 that we tossed 10 coins and a probability of 1/2 that we tossed 20.

The random variable X, conditioned to the event 'The dice is 1,2 or 3' (or equivalently, 10 coins are tossed), will have a binomial distribution with paramenters n = 10, p = 1/2. The mean of X in this case is np = 5. If X is conditioned to the event 'The dice is 4,5 or 6', then X will have also binomial distribution, but this time with paramenters n = 20, p = 1/2. The mean of X in this case is 20*1/2 = 10.

Since each event we conditioned in had probability 1/2 to occur, then E(X) = 1/2 * 5 + 1/2 * 10 = 7.5.

c) Remember that V(X) = E(X²)- E(X)². Since we alredy know the mean of X, we just need to compute the mean of X squared.

The variance of a binomial distribution Z with paramenters n and p is

V(Z) = np(1-p)

since V(Z) = E(Z²)- E(Z)² = E(Z²)- n²p², then

E(Z²) = V(Z) + E(Z)² = np(1-p) + n²p² = p²(n²-n) + np

Therefore

E(X²) = E(X² | 10 coins are tossed) * 1/2 + E(X² | 20 coins are tossed) * 1/2 =

1/2*(0.5²(10²-10) + 5) + 1/2*(0.5²(20²-20) + 10) = 13.75 + 52.5 = 66.25

As a consecuence

V(X) = 66.25 - 7.5² = 10

The variance of X is 10.

5 0

3 years ago

Find a unit vector that is orthogonal to both u and v .u = −8, −6, 4 v = 17, −18, −1

lisov135 [29]

Answer:

\left(\frac{\sqrt{78}}{30},\ \frac{\sqrt{78}}{39}\ ,\frac{41\sqrt{78}}{390}\right)

3 0

1 year ago