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Daniel [21]
3 years ago
12

If a football team has a 90% chance of making a field goal for 3 points and a 35% chance of making a touchdown for 7 points, fin

d the expected value of a touchdown.
PLEASE HELP!!!

Mathematics
2 answers:
Svetlanka [38]3 years ago
4 0

2.7 points (my guess)

Svetllana [295]3 years ago
3 0

Answer: The expected value of touchdown is 2.45.

Step-by-step explanation:

Since we have given that

Probability of making a field goal for 3 points = 90%

Probability of making a touchdown for 7 points = 35%

So, Expected value of a touchdown would be

\sum xp(x)=7\times \dfrac{35}{100}=\dfrac{245}{100}=2.45

Hence, the expected value of touchdown is 2.45.

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A man has 10 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 175 cents, how many d
erastovalidia [21]

the man has 5 dimes and 9 quarters

3 0
3 years ago
Read 2 more answers
The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. The cost of cultivating corn and wheat (includin
babunello [35]

Answer:

He should plant 100 acres of corn and 400 acres of wheat.

Step-by-step explanation:

This problem can be solved by a siple system of equations.

]x denotes the number of acres of corn

y denotes the number of acres of wheat

Building the system:

The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. This means that:

x + y = 500

The cost of cultivating corn and wheat (including seeds and labor) is $42 and $30 per acre, respectively. Jacob Johnson has $16,200 available for cultivating these crops. This means that:

42x + 30y = 16,200

So, we have the following system

1) x + y = 500

2) 42x + 30y = 16,200

If he wishes to use all the allotted land and his entire budget for cultivating these two crops, how many acres of each crop should he plant?

1) x + y = 500

2) 42x + 30y = 16,200

I am going to write y as a function of x in 1), and replace in 2). So:

x + y = 500 means that y = 500-x

42x + 30y = 16,200

42x + 30(500-x) = 16,200

42x + 15000 - 30x = 16,200

12x = 1,200

x = \frac{1,200}{12}

x = 100

Now, going back to 1:

y = 500 - x = 500 - 100 = 400

He should plant 100 acres of corn and 400 acres of wheat.

5 0
3 years ago
The perimeter of a rectangular painting is 324 centimeters. if the width of the painting is 67 centimeters, what is its length?
Nina [5.8K]
I hope this helps you



Perimeter =2 (width +length )


324=2 (67+length )


162-67=length


length =95
6 0
3 years ago
Help me please i dont understand
matrenka [14]

Answer:

22

Step-by-step explanation:

The line where it says 2cm, extend that line to the top. You know have 2 triangles, call the one on the left A and the one on the right B

area of recntangle = bh

Rect A:

b = 5

h = 4 - 2

h = 2

bh = 5 x 2

bh = 10

Rect B:

b = 3

h = 4

bh = 4 X 3

bh = 12

Total = 10 + 12

Total = 22

5 0
1 year ago
A boat is being pulled into a dock with a rope attached to the boat at water level. When the boat is 12 feet from the dock, the
Natali5045456 [20]

Given :

A boat is being pulled into a dock with a rope attached to the boat at water level. When the boat is 12 feet from the dock, the length of the rope form the boat to the dock is 3 feet longer than twice the height of the dock above the water.

To Find :

The height of the dock.

Solution :

This will make a right angle triangle as given in link below .

Now , applying Pythagoras theorem :

(2h+3)^2=h^2+12^2\\\\4h^2+9h+9=h^2+144\\\\h^2+4h-45=0\\\\(h-5)(h+9)=0

Now , h = 5 or h = -9 .

Now , height cannot be negative .

So , height of the dock is 5 ft .

Hence , this is the required solution .

8 0
3 years ago
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