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Morgarella [4.7K]
3 years ago
9

Assume that random guesses are made for seven multiple choice questions on an SAT​ test, so that there are n=7 ​trials, each wit

h probability of success​ (correct) given by p= 0.2. Find the indicated probability for the number of correct answers.
Find the probability that the number x of correct answers is fewer than 4.
Mathematics
1 answer:
Nezavi [6.7K]3 years ago
7 0

Answer:

Step-by-step explanation:

Let x be a random variable representing the number of guesses made for the sat questions.

Since the probability of getting the correct answer to a question is fixed for any number of trials and the outcome is either getting it correctly or not, then it is a binomial distribution. The probability of success, p = 0.2

Probability of failure, q = 1 - p = 1 - 0.2 = 0.8

the probability that the number x of correct answers is fewer than 4 is expressed as

P(x < 4)

From the binomial distribution calculator,

P(x < 4) = 0.97

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Miranda found out that there are 20 drops in 11 mL of medicine. She measured 15 drops of medicine into a measuring cup. How many
andreyandreev [35.5K]

Answer: Her measuring cup has 8.25 mL of medicine.

Step-by-step explanation:

As per given,

In 11 mL of medicine, there are 20 drops.

That means quantity in 1 drop = \dfrac{11}{20} mL

Now , the quantity in 15 drops = 15 x quantity in 1 drop

= 15\times\dfrac{11}{20}

=\dfrac{33}{4}

= 8.25 mL

Hence, her measuring cup has 8.25 mL of medicine.

6 0
3 years ago
Relationship between the value of the given digits 6s in 660
expeople1 [14]
We have the given number = 660
Now, explain the relationship of 6s in the given number.
=> 6 = hundreds
=> 6 = tens
=> 0 = ones
This is also another form:
=> 6 = 600
=> 6 = 60,
now, notice that the first value of 6 in the leftmost side is 10 times higher than the next number 6.
=> 60 x 10 = 600.
Thus, 600 is 10 times greater than 60 and vice versa.



5 0
3 years ago
All I need is the answer to part b and c
Reil [10]

Answer: 24, c

Step-by-step explanation:

Looked it up

7 0
3 years ago
The function f ( x ) = x ^3 + 2x^2− 5 x − 6 has a root at 2. Name all roots of this function.
Tomtit [17]

sub x=1 into f(x),

remainder= 1^3+2(1)^2-5(1)-6= -8

since remainder≠0, x=1 is not a root of the function

sub x=-1,

remainder = (-1)^3+2(-1)^2-5(-1)-6= 0

by remainder theorem,

x=-1 is a root of f(x)

hence, the correct ans is c

6 0
3 years ago
Please help me!!!!!!!!!!!
Genrish500 [490]

Answer:

(5,0) and (1,0)

Step-by-step explanation:

you can set each factor equal to zero:

-x + 5 = 0

-x = -5

x = 5

x - 1 = 0

x = 1

4 0
2 years ago
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