PICK 5 RELEVANT VOCABULARY TERMS AND SUMMARIZE THEM .


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Using vector concepts, it is found that the components of the velocity are given as follows:

Given a magnitude M and angle [tex]\theta[/tex], the a vector V can be represented as follows:

[tex]V = M\sin{\theta}i + M\cos{\theta}j[/tex]

In which:

In this problem, we have that the magnitude and the angle are given as follows:

[tex]M = 600, \theta = 70^{\circ}[/tex]

Hence the north component is:

[tex]600\cos{70^{\circ}} = 205.21[/tex]

And the east component is:

[tex]600\sin{70^{\circ}} = 563.82[/tex]

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Reduce the expression, if possible, by cancelling the common factors.

Exact Form: [tex] \:- \frac{3}{10} \\ [/tex]

Decimal form[tex] \: \:- 0.3[/tex]

Using the normal distribution, it is found that:

a) 4.46% of finish times was higher than 72 minutes.

b) 55.11% of finish times was between 52 and 70 minutes.

c) The 40th percentile of finish times is 52.5 minutes.

d) The 95th percentile of finish times is 71.45 minutes.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

Item a:

The proportion is 1 subtracted by the p-value of Z when X = 72, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{72 - 55}{10}[/tex]

[tex]Z = 1.7[/tex]

[tex]Z = 1.7[/tex] has a p-value of 0.9554

1 - 0.9554 = 0.0446

0.0446 x 100% = 4.46%

4.46% of finish times was higher than 72 minutes.

Item b:

Th proportion is the p-value of Z when X = 70 subtracted by the p-value of Z when X = 52, hence:

X = 70:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{70 - 55}{10}[/tex]

[tex]Z = 1.5[/tex]

[tex]Z = 1.5[/tex] has a p-value of 0.9332.

X = 52:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{52 - 55}{10}[/tex]

[tex]Z = -0.3[/tex]

[tex]Z = -0.3[/tex] has a p-value of 0.3821.

0.9332 - 0.3821 = 0.5511

0.5511 x 100% = 55.11%

55.11% of finish times was between 52 and 70 minutes.

Item c:

The 40th percentile is X when Z has a p-value of 0.4, so X when Z = -0.253.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.253 = \frac{X - 55}{10}[/tex]

[tex]X - 55 = -0.253(10)[/tex]

[tex]X = 52.5[/tex]

The 40th percentile of finish times is 52.5 minutes.

Item d:

The 95th percentile is X when Z has a p-value of 0.95, so X when Z = 1.645.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.645 = \frac{X - 55}{10}[/tex]

[tex]X - 55 = 1.645(10)[/tex]

[tex]X = 71.45[/tex]

The 95th percentile of finish times is 71.45 minutes.

A similar problem is given at https://brainly.com/question/24663213

Answer:

y<3 is a horizontal line, not included, but all the points below it

Step-by-step explanation:

[tex] - 2y > - 6[/tex]

[tex]y < 3[/tex]

Answer:

for the first one it 2

3

12

Answer:

Step-by-step explanation:

As the number under the exponent is less than 1, this is a decay function.

y decreases by (1 - 0.97)100 = 3% for each unit increase in x

so the increase would be -3%

9514 1404 393

Answer:

  a) 37

  b) n+d

Step-by-step explanation:

This is a reading comprehension problem. You are asked to understand what you are reading, and to think about what question is being asked.

Given:

  a) someone bought 20 notebook computers and 17 desktop computers

  b) someone bought n notebook computers and d desktop computers

Find:

  a) the total number of computers bought

  b) the total number of computers bought

Solution:

a) The total number bought is found by adding together the numbers of each kind:

  20 +17 = 37 . . . total computers

__

b) The total number bought is found by adding together the numbers of each kind:

  n + d . . . total computers

Answer:

21899921030

Step-by-step explanation:

e^(i.π) = -1

2^(-2+3-1) = 2^0 = 1

Therefor

-1 + 1 + 21899921030 = 21899921030

Answer:

x = 13

Step-by-step explanation:

Corresponding angles equal one another.

[tex]8x-20=4x+32\\4x-20=32\\4x=52\\x=13[/tex]

Answer:

2

Step-by-step explanation:

because resetting the graph means it has to be a reflection

Check the picture below.

Answer: 1232

Step by Step: I just answered this

Answer:

Correct answer is {6,10,12,14}

Step-by-step explanation:

Answer:

1. 3

2. 0, 620

3. Positive

4. 2006

5. 2637

Answer:

7x + 14

Step-by-step explanation:

7x+14 is the correct awnser if you look at the question correctionly their notifying you:

simplify:

it so it would be the last subject 7x+14

i hope this helps

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QUESTION YOU ASKED:

Simplify. 3x+4(x+3)+2

ANSWER CHOICE:

7x+14

4x+9

3x+9

7x+5

HELP ASAP

HERES MY ASAP ANSWER:

LAST ONE! D HOPE THIS HELPS!

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ANSWER: A

ANSWER IN WORD-FORM: x+

ANSWER SIMPLIFYED: 7x+14

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Step-by-step explanation:

each department has 3 options for their representative.

and each of these options can be associated with the 3 options of the next department. and so on.

so, we have

3×3×3×3 = 3⁴ = 81

possibilities to firm that committee overall.

Answer: annualcreditreport.com

Step-by-step explanation: The only authorized website for free credit reports, or call 1-877-322-8228

Answer:

Step-by-step explanation:

Given:

Cross-multiply and solve for x:

Answer:

2.2360679774998

Step-by-step explanation:

Answer:

Step-by-step explanation:

How many 1/4 kg bread loaves can be made from 2½ kg of dough?

2½ / 1/4 = (5/2)•(4/1) = 20 / 2 = 10

The number of puffs made by 2½ kg of dough will be 10.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

The problem is given below:-

How many 1/4 kg puffs can be made from 2½ kg of dough?

The number of the puffs will be calculated as:-

2½ / 1/4 = (5/2) x (4/1) = 20 / 2 = 10

Therefore, the number of puffs made by 2½ kg of dough will be 10.

To know more about an expression follow

https://brainly.com/question/21446512

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Answer:

The answer is 82.109 sec.

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

I don't really get what you mean, so I just solved for x.

1/2x-2=3

We add 2 on both sides.

1/2x=5

Times both sides by 2 to cancel out the 1/2

x=10.

Hope this helped. :)

(sorry if I didn't do what you wanted me to.)

Answer:

32 qt = 8 gal

Step-by-step explanation:

1 qt x 32 = 1/4 gal x 32

32 qt = 32/4 gal

32 qt = 8 gal

Answer:

Step-by-step explanation:

8^4  is the same as 8·8·8·8

The exponent 4 means that 8 will be multiply by itself four time.

Answer:

4096

Step-by-step explanation:

hope this helps=)

Answer:

1.0833 yd

Step-by-step explanation:

Inches    Yards

37"         1.0278 yd

38"         1.0556 yd

39"         1.0833 yd

40"         1.1111 yd

Have a great day! :D

1. 3/7 = 72/x

By cross multiplication we get :

➟ 3x = 72 × 7

➟ x = 72 × 7/3

➟ x = 24 × 7

➟ x = 168

2. m/8 = 8/20

By cross multiplication we get :

➟ 20m = 8 × 8

➟ 20m = 64

➟ m = 64/20

➟ m = 16/5