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2 years ago

DUPLICATE WITH ATTACHMENT

1 answer:

4 0

C=A-B, according to the information, the vector A⃗ has a magnitude of 3.00 and is directed parallel to the negative y-axis: that means Vector OA (0, -3)

and vector B⃗ has a magnitude of 3.00 and is directed parallel to the positive y-axis.

that means Vector OB (0, 3), so C=A – B means vectOC = vect OA - vect OB =(0,-3)-(0,3)=(0,-6), so the magnitude of OA is sqrt((-6)^2)=6, so C=6

and according to the information (as measured counterclockwise from the positive x-axis), so the answer is C = 6.00; θ = 90˚

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Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior. He records how long they slept (in hours), h

Vlad1618 [11]

Answer:

Explained below.

Step-by-step explanation:

The complete question is:

Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior. He records how long they slept (in hours), how many bananas they ate, gender, age (in years), and the specific breed of monkey.

(a) What are the individuals in this data set?

(b) Identify the variables that were recorded, and indicate whether each one is categorical or quantitative?

Solution:

(a)

The term "individuals", in statistics, implies or denotes the objects or people included in a statistical study.

In this case it is provided that Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior.

So, the "individuals" in this data set are the monkeys.

(b)

Categorical variables belong to a certain category or label values. Such as gender of a person, state from which a person is from, color of the marble and so on.

Quantitative variables are those variables that assume numerical values and represent some sort of measurement. Such as height, weight, annual income of the people working at the same place and so on.

In this case the variables are:

Number of bananas the monkeys ate - Quantitative variable

Gender - Categorical variable

Age (in years) - Quantitative variable

Specific breed of monkey - Categorical variable

5 0

2 years ago

Simone has 5 employees in her flower shop. Each employee works 6 4/15 hours per day. How many hours, in total, do the 5 employee

Westkost [7]

Simon has 5 employees, each works 6 4/15 hours per day
First, let’s convert the fraction into decimals
=> 6 4/15 = 94/15 or 6.27 hours
=> 31.33 … repeating decimals.
now, let’s convert this decimals to fraction
=> 31.33 = 31 1/3
Thus, the answer is D. 31 1/3, the total number of hours that his employees works per day.

8 0

2 years ago

Which decimal is terminating?

Elina [12.6K]

The answer is D. 0.7878

7 0

2 years ago

A small island is 4 miles from the nearest point P on the straight shoreline of a large lake. If a woman on the island can row a

True [87]

Answer:

a) t(x) = [ √ (4)² + (x)²]/ 4 + 7/5 - x/5

b) x = 0,97 miles

c) t (min) = 1,24 hours

Step-by-step explanation: See Annex

Figure in annex shows a clear description of the situation

Let x be distance in miles between point P and where boat lands

A woman has to row a distance L

L = √ (4)² + (x)²

and the part to get to the town (which she has to walk)

d = ( 7 - x)

But we are required to give time as a function of x

distance = speed * time ⇒ t = distance / speed

Therefore

t(x) = [ √ (4)² + (x)²]/ 4 + ( 7 - x ) / 5

t(x) = [ √ (4)² + (x)²]/ 4 + 7/5 - x/5

Taking derivatives both sides of the equation

t¨(x) = ( 2x)*4 / 16√ (4)² + (x)²] - 5/25

t¨(x) = x/ 2√ (4)² + (x)²] - 1/5

t¨(x) = 0 x/ 2√ (4)² + (x)²] - 1/5 = 0

[ 5 x - 2√ (4)² + (x)²] = 0 ⇒ 5x = 2√ (4)² + (x)²] or

25 x² = 4 ( 4 + x²)

25 x² = 16 + 8x²

17x² = 16

x² = 16/17

x² = 0,941

x = 0,97 miles

And the distance walking to get to town

d = 7 - x d = 7 - 0,97

d = 6,03 miles

The least travel time is t(x) = [ √ (4)² + (x)²]/ 4 + 7/5 - x/5

t (min) = √ 16 + 0,94) /4 + 1,4 - 0,97/5

t (min) = 1,03 + 1,4 - 0,194

t (min) = 1,24 hours

7 0

2 years ago

Which number in the monomial 215x18y3z21 needs to be changed to make it a perfect cube?

Murljashka [212]

Remember
xyz=(x)(y)(z)
if x and y and z are all perfect cubes, xyz is also a perfect cube

remmeber
(x^n)^m=x^(mn)
so if it is perfect cube it can be factored into
(x^n)^3, such taht n is a whole number
basiclaly, see if the expoent is divisble by 3

all of them should be perfect cubes

215x^18y^3z^21

split them up to see which ones need changing

215=5*43, not a perfect cube
could be changed to 6^3, which is 216

x^18=(x^6)^3

y^3=y^3
z^21=(z^7)^3

the 215 needs to be changed

8 0

2 years ago

Read 2 more answers