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eimsori [14]
4 years ago
5

If a student was randomly guessing while completing a 20 question multiple choice exam, what is the probability they would score

a 50% or higher
Mathematics
1 answer:
mario62 [17]4 years ago
7 0

Answer:

you want 4 correct and 16 incorrect

there are 20 questions

each question has four answers, so

P(right answer) = 1/4

P(wrong answer) = 3/4

----

Since you want 4 correct of 20 we have a combination of 20C4

This is a binomial problem where p = 1/4, q = 3/4 and we get

(20 "choose" 4)*(probability correct)^(number correct)*(probability incorrect)^(number incorrect)

putting numbers in we get

(20c4)*(1/4)^4*(3/4)^16

This gives us

~ .189685

Step-by-step explanation:

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if a car travels 370.3 miles on 52 liters of gas, how many liters of.gas.will take to go 722 miles.if the car travels at the sam
blsea [12.9K]

Answer:

101.4 liters.  

Step-by-step explanation:

First of all we will find mileage of car.  

\text{Mileage of car}=\frac{\text{Total distance traveled}}{\text{Total amount of fuel}}

\text{Mileage of car}=\frac{370.3\text{ miles}}{52\text{ liters gas}}

\text{Mileage of car}=7.12115\frac{\text{ miles}}{\text{ liters gas}}

We can see that car travels at the rate of 7.12 miles per liter gas. Now let us find amount of gas needed to travel 722 miles at the same rate.

\text{Amount of gas needed}=\frac{722}{7.12}

\text{Amount of gas needed}=101.388

Therefore, it will take 101.4 liters of gas to travel 722 miles.

4 0
3 years ago
Please help!! This is super important!!
MAVERICK [17]

Answer:

tell me the choices so i can help you............

3 0
3 years ago
PLEASE HELP ME!! I DON'T Understand
Paraphin [41]
If you have a number x then the consecutive number is x+1
the multiplication of two consecutive numbers can then be written as x*(x+1)=...
if you find an integer solution for this equation you can write the number as two consecutive integers multiplied with each other, if not you found the exception you are looking for
E)
x(x+1)=9900
x²+x=9900
-> complete square
x²+x+(1/2)²=9900+(1/2)²
(x+(1/2))²=9900+(1/4)
x+(1/2)=sqrt(9900+(1/4))
x=sqrt(9900+(1/4))-(1/2)
x=99
->9900=99*(99+1)=99*100

if we replace 9900 in the last lines with the other numbers we can check them quickly too:

F)
x=sqrt(15750+(1/4))-(1/2)
x=125
->15750=125*(125+1)=125*126

G)
x=sqrt(20448+(1/4))-(1/2)
x=142.497...
->not an integer
->can not be written as two consecutive numbers multiplied

H)
x=sqrt(38612+(1/4))-(1/2)
x=196
->38612=196*(196+1)=196*197

so G is the only number which can not be written as two consecutive integers
4 0
3 years ago
Your friend asked you to help him to solve a problem in Math. Write a letter back to your friend explaining how to solve the pro
Papessa [141]

Answer: we need the formula  but it should be 10 times 14 times 6

Step-by-step explanation:

7 0
3 years ago
Given: 3x+52=13<br> Prove: x = 7<br> write a two column proof
vivado [14]

The answer x = 7 is false here is why.

3x+52=13\Longrightarrow3x=-39

This further simplifies to solution,

x=-\dfrac{39}{3}\Longrightarrow\boxed{x=-13}

Hope this helps.

r3t40

8 0
3 years ago
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