Question 3 (1 point)What is the value of x in the equation 8+4 = 2(x - 1)?
a
11/2
b
13/2
c
5
d
7

Answers

Answer 1
Answer:

Answer:

D. 7

Step-by-step explanation:

(8+4) = 2(x-1) multiply (x-1) by 2

(8+4) = 2x-2 add 8 and 4

12 = 2x-2 add 2 on both sides

14 = 2x divide both sides by 2

7 = x

Answer 2
Answer: Answer is D

12 = 2x - 2

14 = 2x

14/2 = x

7 = x

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two observers, Anna and Bryan. sight a kite at angles 44 degrees and 66 degrees. respictively. if anna is located 20m from the kite. how far is anna from bryan?

Answers

Answer:

28.6m

Step-by-step explanation:

this question is very incomplete. it requires a number of assumptions to give an answer. the main one - where is Bryan located relative to Anna ? I assume diametrically on the opposite side of the kite. because he has the steeper angle, it is clear that he is nearer to the kite.

so, I guess, we have to add his distance to the kite to her distance to the kite to get the distance between her and him.

but he could be on any point on a circle around the kite to have the same viewing angle, and we would have no clue about where on that circle.

as the other extreme alternative, he could be on the same line to the kite as Anna. and then we would have to subtract his distance from her distance.

but again, we assume he is exactly on the other side of the kite.

anyway, each person creates a right-angled triangle with the kite:

there is the direct line of sight as the base line or Hypotenuse (c).

there is the line on the ground from the person to the point on the ground directly under the kite as one side.

there is the line representing the height of the kite above ground as the other side. we let this start at the height of the eyes of the watching person.

and we assume that both persons are of the same height (so the height of the kite relative to their eyes is the same for both).

let's start with Anna.

the side a of Anna's triangle is

a = 20m

angle between a and c = 44 degrees

we know the angle between a and b is 90 degrees.

therefore the angle between b and c = 180-90-44 = 46 degrees.

now we use the law of sines :

a/sin(bc) = b/sin(ac) = c/sin(ab)

we know sin(ab) = sin(90) = 1

20/sin(46) = b/sin(44)

b = 20×sin(44)/sin(46) = 19.31... m = height of the kite

now to Bryan.

now we know his b (height of the kite) = 19.32... m

his angle between a and c is 66 degrees.

his angle between a and b is also 90 degrees.

therefore his angle between b and c = 180-90-66 = 24 degrees.

19.31/sin(66) = a/sin(24)

a = 19.31×sin(24)/sin(66) = 8.6 m

based on our assumption that they are standing opposite from each other in relation to the kite their distance is

20 + 8.6 = 28.6m

Problem 9-10 The elongation of a steel bar under a particular tensile load may be assumed to be normally distributed, with a mean of .06 in. and standard deviation of .008 in. A sample of n=100 bars is subjected to the test. Find the probability that the sample mean elongation is between .0585 in. and .0605 in.

Answers

Answer:

The answer is 0.7036.

Step-by-step explanation:

Check the attached file for the computations.

The probability that the mean life of a random sample mean elongation is between .0585 in. and .0605 in. is 70.57%

What is z score?

Z score is used to determine by how many standard deviations the raw score is above or below the mean.

It is given by:

z = (raw score - mean) / (standard deviation÷√sample)

Mean = 0.06, standard deviation = 0.008, sample = 100.

For x = 0.0585:

z = (0.0585 - 0.06)/ (0.008 ÷√100) = -1.88

For x = 7.2:

z = (0.0605 - 0.06)/ (0.008 ÷√100) = 0.623

P(-1.88 < z < 0.63) = P(z < 0.63) - P(z < -1.88) = 0.7357 - 0.03 = 0.7057

The probability that the mean life of a random sample mean elongation is between .0585 in. and .0605 in. is 70.57%

Find out more on z score at: brainly.com/question/25638875

The difference between seven and triple the input

Answers

Answer:   3x - 7

x = some input number

3x = triple the input

3x - 7 = difference of triple the input and 7

Does the graph below represent a function? A. YesB. No
C. Sometimes
D. Not enough information.

Answers

Yeah C should be the correct answer

Boatesville is a 65 3/5 -kilometer drive from stanton. A bus traveling from stanton to boatesville is 24 1/3 kilometers from boatesville. How far has the bus traveled​

Answers

Answer:

41 4/15  is how far the bus has traveled

Step-by-step explanation:

total distance = distance traveled + distance to go

65 3/5 = x + 24 1/3

Subtract 24 1/3 from each side

65 3/5  - 24 1/3 = x

Get a common denominator of 15

65 3/5 *3/3 = 65 9/15

24 1/3 *5/5 = 24 5/15

65 9/15 - 24 5/15=x

41 4/15  is how far the bus has traveled

The assignment of tasks to student union board members. Assume that there are 8 board members: 6 females, and 2 males including Joe. There are 3 tasks to be assigned randomly, including that of notifying members of meeting times. There is at most one task per person.(1) Find the probability that Joe is given a task.

Answers

hmm...
that would be 1/8 or 0.125%
give a thx if you liked the answer!

Final answer:

The probability that Joe is given a task is 1/8.

Explanation:

To find the probability that Joe is given a task, we need to determine the total number of possible outcomes and the number of favorable outcomes.

Based on the given information, there are 8 board members in total, including Joe. Since there is at most one task per person, there are 8 possible outcomes for the first task, 7 possible outcomes for the second task, and 6 possible outcomes for the third task.

The number of favorable outcomes is 1 for each task since Joe is one of the two male board members. Therefore, the probability that Joe is given a task is 1/8.

Learn more about probability here:

brainly.com/question/22962752

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