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xxTIMURxx [149]
2 years ago
11

Given: AB with coordinates of AC-3, -1) and B(2, 1)

Mathematics
1 answer:
andrezito [222]2 years ago
8 0

Answer:

up 2, right 3

Step-by-step explanation:

up 2, to the right 3.

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For questions 2-5, the number of pieces in a regular bag of Skittles is approximately normally distributed with a mean of 38.4 a
aleksley [76]

Answer:

a. -1.60377

b. 0.25451

c. 0.344

d. Option b) 78th

Step-by-step explanation:

The number of pieces in a regular bag of Skittles is approximately normally distributed with a mean of 38.4 and a standard deviation of 2.12.

a)What is the z-score value of a randomly selected bag of Skittles that has 35 Skittles? a) 1.62 b) -1.62 c) 3.40 d) -3.40 e)1.303.

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

z = 35 - 38.4/2.12

= -1.60377

Option b) -1.62 is correct

b) What is the probability that a randomly selected bag of Skittles has at least 37 Skittles? a) .152 b) .247 c) .253 d).747e).7534. .

z = (x-μ)/σ

Mean of 38.4 and a standard deviation of 2.12.

z = (37 - 38.4)/2.12

= -0.66038

P-value from Z-Table:

P(x<37) = 0.25451

The probability that a randomly selected bag of Skittles has at least 37 Skittles is 0.25451

Option c) .253 is.correct

c) What is the probability that a randomly selected bag of Skittles has between 39 and 42 Skittles? a) .112 b) .232 c) .344 d).457 e).6125.

z = (x-μ)/σ

Mean of 38.4 and a standard deviation of 2.12.

For 39 Skittles

z = (39 - 38.4)/2.12

= 0.28302

Probability value from Z-Table:

P(x = 39) = 0.61142

For 42 Skittles

z = (42 - 38.4)/2.12

= 1.69811

Probability value from Z-Table:

P(x = 42) = 0.95526

The probability that a randomly selected bag of Skittles has between 39 and 42 Skittles is:

P(x = 42) - P(x = 39

0.95526 - 0.61142

0.34384

= 0.344

Option c is.correct

d) What is the percentile rank of a randomly selected bag of Skittles that has 40 Skittles in it? a)82nd b) 78th c) 75th d)25th e)22nd

z = (x-μ)/σ

Mean of 38.4 and a standard deviation of 2.12.

z = (40 - 38.4)/2.12

= 0.75472

P-value from Z-Table:

P(x = 40) = 0.77479

Converting to percentage = 0.77479× 100

= 77. 479%

≈ 77.5

Percentile rank = 78th

7 0
3 years ago
Identify the ethical issue(s) in each experiment. Beginning in the 1940s, the Department of Medicine at the University of Chicag
arsen [322]

Full question attached

Answer:

1. Subjects were not aware of the purpose of the experiment.

2. Subjects were not aware of all potential risks.

Subjects were not aware of the purpose of the experiment.

3. Subjects were coerced into participating

Explanation:

Ethics are the moral principles and codes that guide our daily decisions and actions. Ethical issues in conducting experiments or research aim at protecting the dignity of subjects or participants in the research. Major ethical issues in conducting research include: Respect for anonymity and confidentiality, beneficence(should not harm participants), and informed consent(independently volunteers after clear comprehensive information on research).

1. Experiment violates informed consent as participants were not aware of the purpose of research.

2. Experiment violates informed consent and beneficence as participants weren't fully informed and faced the risk of being harmed.

3. Experiment violates beneficence and informed consent as participants faced the risk of being harmed and did not independently volunteer for the research.

4 0
2 years ago
A person takes a trip, driving with a constant peed of 89.5 km/h, except for a 22.0-min rest stop. If the peron's average speed
Stolb23 [73]

Answer:

a) The person traveled 2.83 hours.

b) The person travels 220.17 kilometers.

Step-by-step explanation:

We have that the speed is the distance divided by the time. Mathematically, that is

s = \frac{d}{t}

(a) how much time is spent on the trip and

The peron's average speed is 77.8 km/h, which means that s = 77.8

The person distance traveled is:

22 min is 22/60 = 0.37h.

So for  the time t1, the person traveled at a speed of 89.5 km/h. Which has a distance of 89.5*t1.

For 0.37h, the person was at a stop, so she did not travel. This means that the total distance is

d = 89.5t1 + 0 = 89.5t1

The total time is the time traveling t and the stoppage time 0.37. So

t = t1 + 0.37

We want to find t1, which is the time that the person was driving.

So

s = \frac{d}{t}

77.8 = \frac{89.5t1}{t1 + 0.37}

77.8t1 + 77.8*0.37 = 89.5t1

11.7t1 = 28.786

t1 = \frac{28.786}{11.7}

t1 = 2.46

The total time is

t = t1 + 0.37 = 2.46 + 0.37 = 2.83

The person traveled for 2.83 hours.

(b) how far does the person travel?

The person traveled 2.46 hours at an average speed of 77.8 km/h. So

s = \frac{d}{t}

77.8 = \frac{d}{2.83}

d = 77.8*2.83 = 220.17

The person travels 220.17 kilometers.

8 0
3 years ago
The angle of depression from the basketball hoop to Claire’s eyes is 9.2°. The vertical distance from the ground to Claire’s eye
Marrrta [24]
<span>we will isolate that right triangle marked off with the little angle thing.
</span>We know that, in that right triangle, one of the legs measures 22 ft, and the angle (adjacent) to it, meausres 9.2 degreesIn this case, <span>tan9.2=<span>x/22</span></span><span> where x is that unkown length
</span>cross multiply.
<span>your final answer is equal to x+5.6</span>
8 0
3 years ago
Which is the approximate solution to the system y = 0.5x + 3.5 and y = −A system of equations. y equals 0.5 x plus 3.5. y equals
Elena L [17]

Answer:

The approximate solution of the system of equations is the point (-2.7,2.1)

Step-by-step explanation:

we have

y=0.5x+3.5 -----> equation A

y=-\frac{2}{3}x+\frac{1}{3} -----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (-2.714,2.143)

see the attached figure

therefore

The approximate solution of the system of equations is the point (-2.7,2.1)

4 0
3 years ago
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