In a recent survey in a Statistics class, it was determined that only 70% of the students attend class on Fridays. From past data it was noted that 88% of those who went to class on Fridays pass the course, while only 20% of those who did not go to class on Fridays passed the course. a. What percentage of students is expected to pass the course? b. Given that a person passes the course, what is the probability that he/she attended classes on Fridays? (Hint: the above problem is based on conditional probability concept and the Bayes theorem)

Answer:

a) (-9, 4)

b) (0, 0)

c) No

Step-by-step explanation:

Answer:

750 minutes

Step-by-step explanation:

there are 750 minutes in 12,5 hours hope that helps

Answer:

Everyone else is correct it's 750 minutes

Answer:

5

Step-by-step explanation:

Answer:

Sunt și bărbat, ești foarte înfiorător

Step-by-step explanation:

Answer:

D. 8

Step-by-step explanation:

Given:

A(4, 4)

B(8, 4)

C(12, 0)

Midsegment length = ½((Bx - Ax) + (Cx - 0))

Where,

Ax = 4

Bx = 8

Cx = 12

Substitute

Midsegment length = ½((8 - 4) + (12 - 0))

= ½(4 + 12)

= ½(16)

Midsegment length = 8

Answer:

x = 9

Step-by-step explanation:

[tex]a^{2} = c^{2} - b^{2}[/tex]

[tex]a^{2} = 15^{2} - 12^{2}[/tex]

[tex]a^{2} = 225 - 144[/tex]

[tex]a^{2} = 81[/tex]

[tex]\sqrt{a^2} = \sqrt{81}[/tex]

[tex]a = 9[/tex]

ok.........................................

Answer:

A sample size of 68 should be anticipated using.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Experience suggests that a reasonable estimate for the population standard deviation is 15

This means that [tex]\sigma = 15[/tex]

What minimum sample size should be anticipate using?

Margin of error at most 3, which means that the sample size is n when M = 3. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]3 = 1.645\frac{15}{\sqrt{n}}[/tex]

[tex]3\sqrt{n} = 1.645*15[/tex]

Simplifying both sides by 3:

[tex]\sqrt{n} = 1.645*5[/tex]

[tex](\sqrt{n})^2 = (1.645*5)^2[/tex]

[tex]n = 67.7[/tex]

Rounding up

A sample size of 68 should be anticipated using.

Answer:

Given that the hall is rectangular in shape, then the shortest path that Amy must travel to reach Alice would be through the hall's diagonal. Applying the Pythagorean theorem, with the length and width as the legs and the diagonal as the hypotenuse of the right triangle. Thus, diagonal = √ ( 100² + 60²) = √13 600 ≈ 116.62 ft The shortest distance, rounded off to the nearest foot, is 117 ft.

Step-by-step explanation:

its already an explanation...

Answer:

25 questions,

$18.75

Step-by-step explanation:

Remember, to change percents to decimals, divide the number by 100 and remove the parentheses.

1. 84%, or 21 questions of Roy's test were correct.

Let's set the number of questions on the test as "x". We can then write this equation:

84% * x = 21

Simplify.

0.84 * x = 21

Divide both sides by 0.84

x = 25

There were 25 questions on the test.

2. Cheesecake Factory question

We need to find 15% of 125.

15% * 125 =

0.15 * 125 =

18.75

They need to leave a $18.75 tip.

I hope this helps! Feel free to ask any questions!

Answer:

140

Step-by-step explanation:

First we would find the unit rate of students per seventh. So we would do 40 divided by 2 which gives us 20. So per 1/7 we have 20 students. Which we can then say 7 x 20 = 140. So in total there are 140 students

Hope this helped

Answer:

$2

Step-by-step explanation:

If $1 = 7 kronor, 2$ would = 14 kronor

We would get $2 if we exchanged 14 kronor a the given exchange rate.

Kronor is the currency of Sweden.

One dollar is the equivalent of 7 kronor.

It is given that $1 = 7 kronor. We have to multiply the entire equation by 2. If we multiply this by 2, we get:

$2= 14 kronor

Therefore we have found that we would get $2 if we exchanged 14 kronor a the given exchange rate of $1 for every 7 kronor.

Learn more about exchange rates here- https://brainly.com/question/1622216

#SPJ2

Answer:

C, y =8x

Step-by-step explanation:

As you can see from the table, y is basically x multiplied by 8 at all instances.

Answer: y=8x

Step-by-step explanation:

y=8x means that the number in the y column (the total cost) equals whatever is in the x column (number of tickets) times by 8. The reason you do times is because in algebra when a number is next to a letter it means times.

So, you can test it using the data in the table:

16=2×8

24=3×8

32=4×8 etc.

And we know it works.

Hope this helps :)

Answer:

n = -9.5 or n = -19/2

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

3/5 * 1/3  ==  3/15 or 1/5

Answer:

1/3 I believe I could be wrong

Step-by-step explanation:

NOT NECESSARILY would a triangle be equilateral if one of its angles is 60 degrees. To be an equilateral triangle (a triangle in which all 3 sides have the same length), all 3 angles of the triangle would have to be 60°-angles; however, the triangle could be a 30°-60°-90° right triangle in which the side opposite the 30 degree angle is one-half as long as the hypotenuse, and the length of the side opposite the 60 degree angle is √3/2 as long as the hypotenuse. Another of possibly many examples would be a triangle with angles of 60°, 40°, and 80° which has opposite sides of lengths 2, 1.4845 (rounded to 4 decimal places), and 2.2743 (rounded to 4 decimal places), respectively, the last two of which were determined by using the Law of Sines: "In any triangle ABC, having sides of length a, b, and c, the following relationships are true: a/sin A = b/sin B = c/sin C."¹

Answer:(9,2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Z<-3 is the anwser to this question, good luck !

Multiply through by LCM, 4

[tex] \frac{ - 3z - 1}{2} \times 4 > \: \: \: \frac{4}{1} \times 4[/tex]

[tex]2( - 3z - 1) > 16[/tex]

[tex] - 6z - 2 > 16[/tex]

[tex] - 6z > 16 + 2[/tex]

[tex] - 6z > 18[/tex]

[tex] \frac{ - 6z}{ - 6} < \frac{18}{ - 6} [/tex]

[tex]z < - 3[/tex]

Answer:

1/5

Step-by-step explanation:

After spending 2/5 of her money on a bag, she has 3/5 of the original amount of money left. As she gave 2/3 of the remaining amount of money to her sister, she gave 2/5 of the original amount of money to her sister (3/5 × 2/3 = 2/5). Therefore, there's only 1/5 (1 - 2/5 - 2/5 = 1/5) of the original amount of money left in her bag.

Answer:

A.

Step-by-step explanation:

took test

Answer:

24cm

Step-by-step explanation:

The area of the rectangle is length × breadth. You already know the area and the breadth, so you can find the length.

288cm² = length × 12cm

length = 288cm² ÷ 12cm

           = 24cm

Answer:

29.3

Step-by-step explanation:

Sin(49)/5.4 = Sin(S)/3.5

Cross multiply.

0.4891636168

Sin^-1(0.4891636168) = 29.28562335

Round to nearest tenth.

29.3

Answer:

3/2 or 1.5 or 1 1/2

Step-by-step explanation:

Answer:11

Step-by-step explanation:smart

Answer:

2.5 mg

Step-by-step explanation:

Given the data:

23 24 23 29 28 26 27 28 26

The sample standard deviation, s

s = sqrt[Σ(x - mean)²] ÷ (n - 1)

Mean, m = ΣX / n

n = 9

Mean = 234 /9 = 26

Using a calculator :

s = 2.236

The margin of error, MOE

MOE = Tcritical * s/sqrt(n)

Tcritical at df = (n-1) = 9-1 = 8 , α = 0.01 = 3.35536

MOE = 3.35536 * 2.236/sqrt(9)

MOE = 3.35536 * 2.236/3

MOE = 3.35536 * 0.7453333

MOE = 2.50086

MOE = 2.5

Answer:

45-degrees

Step-by-step explanation:

The triangle is a 90-degree triangle

Triangles = 180-degrees

90 + 45 + 45 = 180

Answer:

Patty has 10 onions, And has 500 watermelons and Ava has a banana