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Elodia [21]
3 years ago
13

A student takes an exam containing 18 true or false questions. If the student guesses, what is the probability that he will get

exactly 6 questions right? Round your answer to four decimal places.

Mathematics
1 answer:
V125BC [204]3 years ago
3 0
Use this formula.
and solution is:[(18!)/(6!×(18-6)!)]×(1/2)^6×(1-1/2)^(18-6)≈0.0781604
7.8%

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A gallon of gasoline cost 2.96. Your car has a 25 gallon gas tank and can travel 28.8 miles on each gallon of gasoline. How much
geniusboy [140]
<h2>Greetings!</h2>

Answer:

It would cost 47.36

Step-by-step explanation:

First, you need to find out how many gallons are needed to fill the tank. To do this, simply multiply 25 by the fraction that is how much is already in there:

25 x \frac{3}{8} = 9.375

So that means that there is 9.375 gallons already in the tank. To find the amount needed to fill the tank:

25 - 9.375 = 15.625

So 15.625 gallons are needed, rounded up to 16 gallons because you cannot get a decimal value of gallons.

That means that 16 x the price = the amount to fill the tank:

16 x 2.96 = 47.36

So it would cost 47.36 to fill the tank!


<h2>Hope this helps!</h2>
4 0
3 years ago
C(x) = mx + 500
grin007 [14]

Total cost as the function of shirts is :

C(x) = mx + 500 .

It is given that , The total cost to produce 100 shirts is $800.

800 = 100m + 500

m = 3

So , cost is given by :

C(x) = 3x + 500 .

Now , putting x = 1000 .

We get :

C(x) = 3x + 500

C(x) = 3(1000) + 500

C(x) = $3500

Therefore , cost of producing 1000 shirts is $3500 .

Hence, this is the required solution .

6 0
2 years ago
lets say you have two line segments , ab and cd which bisects each other at point E. explain why ac = ab
Bond [772]

Answer:

When a line segment is bisected into 2 halves, the two halves are equal. In this case, when AB is bisected by CD, AE and BE would be equal and each point on CD should be equidistant from point A and point B. Therefore, AC = AB.

4 0
2 years ago
james attached a diagonal brace across a rectangular frame that measures 6ft by 8ft what is the length of the diagonal brace
Bogdan [553]
To solve this you would use the pythagorean theorem since the brace is making the frame look like two right triangles. The theorem states that for a triangle with a right angle, A^2+B^2=C^2. A and B are the sides of the frame and C is the brace which is like the hypotenuse of the triangle. It doesn't matter which side is A or B so you can put 6 or 8 in place of either in the equation. 6^2+8^2=C^2. If you simplify this it equals 36+64=C^2, which then simplifies to 100=C^2. Then you take the square root of both sides (what number multiplied by itself = the number you are trying to get, in this case, 100). So then you get C=10 because 10x10=100. So the length of the diagonal brace is 10ft.
4 0
3 years ago
One day at school you make the observations that kids in 12th grade are taller than kids in 9th grade. What does this illustrate
beks73 [17]

Answer: B correlation

6 0
3 years ago
Read 2 more answers
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