A teacher categorized students by whether they regularly completed their homework (or not) and whether they passed the course (or not). The data are in the table below.
Completed Homework Did not Complete Homework Total
Passed the Course 25 7 32
Did not Pass the Course 5 18 23
Total 30 25 55
A student from the class is randomly selected. Determine the following probabilites. Enter your results as percents rounded to two decimal places.
What is the probability a student passed the course given that they completed their homework?

%
What is the probability a student passed the course given that they didn't complete their homework?

28
Correct%
What is the probability a student completed their homework given that they passed the course?

%
What is the probability a student didn't complete their homework given that they didn't pass the course?

%

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Explanation:

Check out the diagram below. I've plotted the regression line A(t) = -1.4t+96 on the same xy grid as the given scatterplot. This line tries to get as close as possible to all of the points.

From here, we plug in each of the temperatures mentioned in the five answer choices (10, 15, 68.5, 55, 0). The outputs form the second column of the table in that same diagram.

For example, if we plugged in t = 10, then,

A(t) = -1.4t+96

A(10) = -1.4(10)+96

A(10) = -14 + 96

A(10) = 82

Telling us that a temperature of 10 degrees F would have a predicted or estimated usage of roughly 82 gallons of oil. This points to choice A being one of the answers.

The other temperature values are handled the same way. Choice B is false because t = 15 does not lead to A(t) = 85. Instead, it's A(15) = 75 meaning it's 10 degrees off the mark.

Choice C is true though. Plugging t = 68.5 into A(t) leads to A(t) = 0.1 which rounds to 0 assuming we're only worried about whole numbers. If your teacher is considering decimal values, then choice C is unfortunately false. For now I'll assume your teacher wants you to round.

If we tried t = 55, then we'd get A(15) = -1.4*55+96 = 19 which is not 5 as we'd want. This rules out choice D.

Lastly, plug in t = 0 to find that A(t) = 96. This leads to choice E being one of the answers.

For the graph attached statements A, C and E are true.

     Function that fits the given data in the graph,

Here, t = temperature in Fahrenheit

A(t) = Oil used in gallons

By substituting the value of 't' in the equation we can get the amount of oil used A(t) to heat the house.

Option A

By substituting t = 10°F,

A(10) = -1.4(10) + 96

        = 82 gallons

Therefore, statement is true.

Option B

For t = 15°F,

A(15) = -2.4(15) + 96

        = 60 gallons

Statement is False.

Option C

For t = 68.5°F

A(5) = -1.4(68.5) + 96

       = 0.1 gallons

       ≈ 0 gallons

Statement is True.

Option D

For t = 55°F,

A(55) = -1.4(55) + 96

         = 19 gallons

Statement is False.

Option E

For t = 0°F

A(0)  = -1.4(0) + 96

        = 96 gallons

Statement is true.

     Therefore, statements given in options A, C and E are True.

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Answer:

1052 is MLII, 450 is CDL, 952 is CMLII, and 942 is CMXLII.

Step-by-step explanation:

For 1052, M=1000 L=50 and II= 2 and if you add all those you get 1052. For 450, CD=400 and L=50 and if you add all those up then you get 450. For 952, CM=900 L=50 and II=2 and if you add all those up then you get 952. For 942, CM=900 XL=40 and II=2, and if you add all those up then you get 942.

Quadrant is a quarter of a coordinate plane

The location of angle t is in quadrant 3

The trigonometry equations are given as:

tan(t)>0 and cos(t)<0

The cosine of an angle is negative in the following quadrants

The cosine of an angle is positive in the following quadrants

The intersection of the above points is quadrant 3

This means that the angle is in quadrant 3

Hence, the true option is (D) III

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Answer:

Step-by-step explanation:

1) Inequality Form: a < 2.9 Interval Notation: ( 2.9 )

2) graph

same as 3, 4, 5

6) Inequality Form: 2 < y < 5 Interval Notation: ( 2 , 5 )

7)

a) 110+92=202+x=c

b) 110+92=202

202+98=300

Answer:

-1

Step-by-step explanation:

1. subtract 4 from both sides

-x = x+2

2. subtract x from both sides

-2x = 2

3. divide both sides by 2

simplify

x= -1

Hope this helps :)

Answer:

c r/ 3/5

Step-by-step explanation:

i think

Answer:

B' (-1,-5)

Step-by-step explanation:

When it is reflected over the y-axis, the y coordinate stays the same but the x coordinate inverses. In this situation since the x in point B is a positive, the x in point B' will be a negative.

Step-by-step explanation:

sqrt(5x)×(sqrt(8x²) - 2×sqrt(x)) =

sqrt(5x × 8x²) - 2×sqrt(5x × x) =

sqrt(40x) × x - 2x × sqrt(5) =

2x×sqrt(10x) - 2x×sqrt(5)

therefore, the last option is correct.

Answer:

B

Step-by-step explanation:

8575 + 1036 = 9611

9611 is the full payment

9611 / 48 months = 200.229

About $200 every month

The best estimate of each monthly payment that Silvia will make is given by: Option B: $200

The net payable amount is the sum of main amount to be paid + the amount of interest.

For this case, it is specified that:

Thus, we get:
Total payable amount by Silvia for car purchasing = $8575 + $1036 = $9,611

This payable amount is divided in 48 equal parts. The value of each part (the monthly payment amount by Silvia) is:

[tex]\dfrac{9611}{48} \approx 200 \: \rm dollars[/tex]

Thus, the best estimate of each monthly payment that Silvia will make is given by: Option B: $200

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9514 1404 393

Answer:

  f(x) = 2(x +2)^2(x -5)

Step-by-step explanation:

The root at x=-2 has even multiplicity. The curve is not flat there, so the multiplicity is 2, not higher. The root at x=5 has multiplicity 1. Then the factored form of this cubic is ...

  f(x) = a(x +2)^2·(x -5)

The local minimum when a=1 is about -50, so we judge the leading coefficient to be 2. The desired function is ...

  f(x) = 2(x +2)^2(x -5)

Answer:

D. increase

Step-by-step explanation

Intrest and fees are used to make process, and It increases the cost. You have to pay it back in the end.

Answer:

B

Step-by-step explanation:

Normally a normal card purchase won't affect the credit but since your using your credit's to purchase I think it will decrease it, it also depends how many times you use your card, cuz banks sure do be checking. So I hope I helped!

Answer:

24.49

Step-by-step explanation:

Answer:

24.489%, but most of the time they only go to 2 decimal places so 24.49%

Step-by-step explanation:

Answer:

A) b

B) c

Step-by-step explanation:

A) a large distance is covered in a short period of time but then the speed decreases

B) the person travels some distance but then returns to their starting point for a while(their home) and then starts on their journey again

Answers:

Pick whichever form you prefer.

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Explanation:

The vertex is the highest point in this case, which is located at (1,8).

In general, the vertex is (h,k). So we have h = 1 and k = 8.

One root of this parabola is (-1,0). So we'll plug x = -1 and y = 0 in as well. As an alternative, you can go for (x,y) = (3,0) instead.

Plug those four values mentioned into the equation below. Solve for 'a'.

y = a(x-h)^2 + k

0 = a(-1-1)^2+8

0 = a(-2)^2+8

0 = 4a+8

4a+8 = 0

4a = -8

a = -8/4

a = -2

The vertex form of this parabola is   y = -2(x-1)^2+8

Expanding that out gets us the following

y = -2(x-1)^2+8

y = -2(x^2-2x+1)+8

y = -2x^2+4x-2+8

y = -2x^2+4x+6 .... equation in standard form

Answer:

20 mph

Step-by-step explanation:

time = distance / speed

speed up stream = s - 4

speed down stream = s + 4

time up = time down

8 / (s - 4) = 12 / (s + 4)

cross multiply

8s + 32 = 12s - 48

subtract 8v from both sides

32 = 4s - 48

add 48 to both sides

80 = 4s

Divide both sides by 4

20 = s

20mph

Answer:

6

It's kind of blury, so I can't really see it.

Answer:

4

Step-by-step explanation:

Answer:

C is the answer.

Step-by-step explanation:

the US capital account was in surplus and Japanese current account

Answer:

I wish I could help but I don't know

Answer:

D is correct

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer:

49176000

I hope this helps.

Answer:

Your GPA would be 1.5 If you have 6 periods.

Step-by-step explanation:

A = 4 GPA Points

B = 3 GPA points

C = 2 GPA Points

D = 1 GPA Points

F = 0 GPA Points

With that knowledge you calculate 2 (C) + 4 (A) + 3 (B) + 0 (F) + 0 (F)  + 0 (F) assuming you have 6 periods which adds up to 9. You divide  by the number of periods (6) totaling to 1.5 GPA Points.

In the question, the probability of getting the given number of success

from a specified number of trials is required.

The correct probability function to use is the binomial probability function.

Reasons:

The given parameters are;

The probability of success = 0.06

The number of trials = 15 trials

The probability of interest = The probability of two successes in 15 trials

Solution;

The required probability is given by the following binomial probability

distribution formula;

[tex]P(x) = \dbinom{n}{x}\cdot p^x \cdot q^x = \mathbf{\dfrac{n!}{(n - x)! \cdot x!} \cdot p^x \cdot q^x}[/tex]

Where:

n = Number of trials

x = Number of required success

p = Probability of a success

q = Probability of one failure = 1 - p

For the question, we get;

[tex]P(x) = \dfrac{15!}{(15 - 2)! \times 2!} \times 0.06^2 \times (1 - 0.06)^{15 - 2} \approx \mathbf{0.169}[/tex]

Therefore, the correct option is, a binomial probability function

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The question options are;

Binomial probability function

Normal probability density function

Standard normal probability density function

Poisson probability function

Answer:

(2,2)

Step-by-step explanation:

Answer:

the set of side lengths will be d

Using it's formula, it is found that the argument of the complex number z = 4+ 3i is of 37º.

The standard format of a complex number is:

[tex]z = a + bi[/tex]

In which:

The argument is given by:

[tex]\theta = \tan^{-1}\left(\frac{b}{a}\right)[/tex]

In this problem, the number is:

[tex]z = 4 + 3i[/tex]

Hence, [tex]a = 4, b = 3[/tex], and:

[tex]\theta = \tan^{-1}\left(\frac{3}{4}\right) = 37[/tex]

For more on the argument of a complex number, you can take a look at https://brainly.com/question/4569130

Answer:

The cost of Ronny is $876, Dough is $1095 and Ronald is $1752.

Step-by-step explanation:

Firstly, make all ratios into units:

Let Ronny = 4 units, Doug = 5 units,

Ronald = 8 units, Total = $3723

4 units + 5 units + 8 units = 17 units

17 units = $3723

1 unit = $3723 ÷ 17

1 unit = $219

Given that 1 unit is equals to $219. Let find the amounts:

Ronny = 4 × 219 = $876

Doug = 5 × 219 = $1095

Ronald = 8 × 219 = $1752

Answer:

0.85

Step-by-step explanation:

Answer:

first calculate the percenatge of the ammount and then either add this answer on to increase the qauntity