a lamp post cast a Shadow 15 feet long while a 6 foot man standing nearby cast a shadow 5 ft long. what proportion can be used to determine the hight of the lamp post

Probabilities are used to determine the chances of an event.

Let P represents the event that a student passes the course, and C represents the event that a student completes the assignment

(a) The probability a student passed the course given that they completed their homework?

From the table, we have:

[tex]\mathbf{n(P\ n\ C) = 25}[/tex]

[tex]\mathbf{n(C) = 30}[/tex]

So, the required probability is:

[tex]\mathbf{Pr = \frac{n(P\ n\ C)}{n(C)}}[/tex]

This gives

[tex]\mathbf{Pr = \frac{25}{30}}[/tex]

[tex]\mathbf{Pr = 0.8333}[/tex]

Express as percentage

[tex]\mathbf{Pr = 83.33\%}[/tex]

Hence, the probability a student passed the course given that they completed their homework is 83.33%

(b) The probability a student passed the course given that they didn't complete their homework

From the table, we have:

[tex]\mathbf{n(P\ n\ C'= 7}[/tex]

[tex]\mathbf{n(C') = 25}[/tex]

So, the required probability is:

[tex]\mathbf{Pr = \frac{n(P\ n\ C')}{n(C')}}[/tex]

This gives

[tex]\mathbf{Pr = \frac{7}{25}}[/tex]

[tex]\mathbf{Pr = 0.28}[/tex]

Express as percentage

[tex]\mathbf{Pr = 28\%}[/tex]

Hence, the probability a student passed the course given that they didn't complete their homework is 28%

(c) The probability a student completed their homework given that passed the course?

From the table, we have:

[tex]\mathbf{n(P\ n\ C) = 25}[/tex]

[tex]\mathbf{n(P) = 32}[/tex]

So, the required probability is:

[tex]\mathbf{Pr = \frac{n(P\ n\ C)}{n(P)}}[/tex]

This gives

[tex]\mathbf{Pr = \frac{25}{32}}[/tex]

[tex]\mathbf{Pr = 0.78125}[/tex]

Express as percentage

[tex]\mathbf{Pr = 78.125\%}[/tex]

Approximate

[tex]\mathbf{Pr = 78.13\%}[/tex]

Hence, the probability a student completed their homework given that they passed the course is 78.13%

(d) The probability a student didn't complete their homework given that they didn't pass the course

From the table, we have:

[tex]\mathbf{n(P'\ n\ C'= 18}[/tex]

[tex]\mathbf{n(P) = 23}[/tex]

So, the required probability is:

[tex]\mathbf{Pr = \frac{n(P'\ n\ C')}{n(P')}}[/tex]

This gives

[tex]\mathbf{Pr = \frac{18}{23}}[/tex]

[tex]\mathbf{Pr = 0.7826}[/tex]

Express as percentage

[tex]\mathbf{Pr = 78.26\%}[/tex]

Hence, the probability a student didn't complete their homework given that they didn't pass the course is 78.26%

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Answer:

Step-by-step explanation:

2x + 8y = 19

5x + 7y = 15

I wrote this on a document in my previous years in school.

Im pretty sure the only prime number in between 90 and 100 is 97

Answer:

Area: (3+√7) x (1+2√7) = 17+7√7 = 35.52

Perimeter: 2(3+√7) + 2(1+2√7) = 8+6√7 = 23.87

Answer:

880 square meters

Step-by-step explanation:

You need to find the area of the rectangular board, which would be 1100x800=880000 square millimeters. 1 meter=1000 millimeters, so you divide 880000 by 1000, getting 880 square meters.

The area of the board is 880 square meters.

You need to find the area of the rectangular board, which would be 1100x800=880000 square millimeters.

1 meter=1000 millimeters, so you divide 880000 by 1000, getting 880 square meters.

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Answer:

Calculate the mass of a body that is applied with a force that pushes the right side of 230 N and another force that pushes the left side of - 150N. Consider that the acceleration it acquires is 2 m / s2.

Step-by-step explanation:

230 e dos

Answer:

10

Step-by-step explanation:

The equivalent of 1 mile to kilometres is  approximately 1.6 km.

2.54 cm = 1 inch

5280 ft = 1 mile

100 cm = 1 m

1000 m = 1 km

Using the information let's convert 1 mile to kilometre.

1000 m = 1 km

Therefore,

1 m = 0.000621371 miles

1000 m(1 km) = ?

cross multiply

length = 1000 × 0.000621371 = 0.621371 miles

Therefore,

0.621371  miles = 1 km(1000 m)

1 miles = ?

length in km = 1.60934449789 km

Therefore,

1 miles = 1.6 km

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Answer:

Linear

Step-by-step explanation:

Answer:

Step-by-step explanation:

You have the system with two quadratic equations.

Both equations are of degree two.

This is therefore not linear.

rhombus opposite sides are equal.

So, CD = 15

Answer:

Squaring

Step-by-step explanation:

Answer:

1.19

Step-by-step explanation:

tan 50 degrees is the value of tangent trigonometric function for an angle equal to 50 degrees .. the value of 50 degrees is approximately 1.1918

Answer:

594.60

Step-by-step explanation:

basically you turn the percent into a decimal, so 0.85 times 3954. then you subtract 3964.00 and 3369.40 to get the answer <3

Answer: C

Step-by-step explanation: If point P(3,10) is reflected across the line y=1, the coordinates of it's reflection image is (3,-8)

Answer:

1. 7x

2. 8x - 1

3. 12 + 6x

4. 4 - 7x

5. 13x - 7

Step-by-step explanation:

D. suspended

explanation:

Someone who is unable to use a credit card after repeated failures to pay has had their credit suspended.

Option D is the correct answer.

Credit card suspension is a temporary measure, and the credit card can usually be reinstated once the account is brought up up-to-date.

We have,

When a person repeatedly fails to make payments on their credit card, their credit card company may suspend their credit card.

This means that the person will not be able to use the credit card until they bring their account up-to-date and pay any outstanding balance or fees.

However, repeated failures to pay can have a negative impact on a person's credit score, which is a measure of their creditworthiness.

If the account remains delinquent, it may eventually lead to default, which is when the lender takes legal action to recover the unpaid debt.

Thus,

Someone who is unable to use a credit card after repeated failures to pay has had their credit suspended.

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1. [tex] \frac{5}{12} = \frac{35}{n} \\ 5n = 35 \times 12 \\ 5n = 420 \\ n = \frac{420}{5} \\ n = 84[/tex]

2. [tex] \frac{n}{52} = \frac{180}{120} \\ 120n = 180 \times 52 \\ 120n = 9360 \\ n = \frac{9360}{120} \\ n = 78[/tex]

Answer:

= 8

Step-by-step explanation:

2x = 2 × 3 is 6 because f(3) then + 2 is 8

3 x 2 = 6

6 + 2 = 8

The correct answer is 8

(Hope this helps can I pls have brainlist (crown)☺️)

Answer:

No

yes

No

Step-by-step explanation:

yes it is a scalene triangle

the area of the triangle is 28.5

7 x² + 7 y² - 28 x + 42 y - 35 = 0 /: 7

x² + y² - 4 x + 6 y - 5 = 0

( x² - 4 x + 4 ) + ( y² + 6 y + 9 ) - 4 - 9 - 5 = 0

The equation in the standard form is:

( x - 2 )² + ( y + 3 )² = 18

The center is at the point ( 2, - 3 ).

Its radius is: √18 = 3√2 units.

Answer:

A. (x - 2)^2 + (y + 3)^2 = 18.

B. (2, -3)

C. 3(2^(1/2))

Step-by-step explanation:

The equation of this circle in standard form is (x - 2)^2 + (y + 3)^2 = 18. The center of the circle is at the point (2, -3), and its radius is 3(2^(1/2)) units.

Answer:

-36,198 feet below sea level

Step-by-step explanation:

Answer:

156m^2

Step-by-step explanation:

label the shapes A and B) triangle=shape b and rectangle=shape a

shape a)10x12=120m^2

shape b)(12x6)/2=36m^2

add the values of shape a and b together to get the area of the shape)120+36=156m^2

Answer:

I dont know

Step-by-step explanation:

Can you type in the question please and ty

Answer:

A. 28x + 94y

Step-by-step explanation:

First, line up the like terms as if you were adding vertically, and combine them.

(42x + 59y)

+ (-14x + 35y)

(28x + 94y)

Hope this helps :)

Answer:

7/12

Step-by-step explanation:

1/2 + 1/12?

To add fractions, find the LCD and then combine.

Exact Form:

7 /12

Decimal Form:

0.583

Answer:

18/12 or 3/2

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