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ioda
3 years ago
12

A multiple-choice test contains 25 questions, each with 4 answers. Assume a student just guesses on each question. (a) What is t

he probability that the student answers more than 20 questions correctly
Mathematics
1 answer:
marta [7]3 years ago
6 0

Answer:

9.68*10^-10

Step-by-step explanation:

The problem above can be solved using the binomial probability relation :

Where ;

P(x = x) = nCx * p^x * q^(n-x)

n = number of trials = 25

p = 1/4 = 0.25

q = 1 - p = 0.75

x = 20

P(x > 20) = p(x = 21) + p(x = 22) +.. + p(x = 25)

Using the binomial probability calculator to save computation time :

P(x > 20) = 9.68*10^-10

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Please solve 5q+6=2q-2+q.
son4ous [18]

Answer:

q= -4

Step-by-step explanation:

5q + 6 = 2 q- 2 + q

Collect like terms and simplify

5q - 2q - q =  - 2 - 6 \\ 2q =  - 8

Divide both sides of the equation by 2

\frac{2q}{2}  =  \frac{ - 8}{2}  \\

Simplify

q =  - 4

4 0
3 years ago
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Brand 1 of antifreeze claims that it can withstand temperatures of –62°C. Brand 2 of antifreeze claims that it can withstand tem
Katen [24]

Answer:

-62c - 5c = -67c

Step-by-step explanation:

(Brand 1 ) -62c (Brand 2 is 5c lower, so it is negative or minus) -5c = (Do the math and it's -67c)

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3 years ago
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Please help will give brainliest!
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Answer:

8

Step-by-step explanation:

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3 years ago
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A local hamburger shop sold a combined of 686 hamburgers and cheeseburgers on Wednesday. There were 64 fewer cheeseburgers sold
elena55 [62]

375 hamburgers were sold on Wednesday

<em><u>Solution:</u></em>

Let "h" be the number of hamburgers sold

Let "c" be the number of cheeseburgers sold

To find: number of hamburgers sold on Wednesday

Given that local hamburger shop sold a combined of 686 hamburgers and cheeseburgers on Wednesday

Therefore,

number of hamburgers sold + number of cheeseburgers sold = 686

h + c = 686 ------- eqn 1

There were 64 fewer cheeseburgers sold than hamburgers

Number of cheeseburgers sold = number of hamburgers sold - 64

c = h - 64 ------- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 2 in eqn 1

h + h - 64 = 686

2h - 64 = 686

2h = 686 + 64

2h = 750

h = 375

Thus 375 hamburgers were sold on Wednesday

8 0
3 years ago
Jeremy’s car travels 26 miles per gallon of gas (g). If the distance traveled (d) can be given by a function, what is the input
RideAnS [48]
<h2>Answer:</h2>

The input of this function is:

                Gallons of gas used (g)

<h2>Step-by-step explanation:</h2>

Input of a function--

The input of the function is the variable whose value is assigned in the problem and in correspondence to that the output value is obtained.

It is given that:

Jeremy’s car travels 26 miles per gallon of gas (g).

This means that with the help of 1 gallon of gas 26 miles could be traveled.

and hence with the help of g gallons of gas :

   The distance traveled will be: 26g

i.e. the function is modeled using the equation

                               d=26g

Hence, when we input the value g we obtain the output d.

5 0
3 years ago
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