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3 years ago

What is between 3/8 and 7/16

Mathematics

1 answer:

Anit [1.1K]3 years ago

8 0

Answer:

13/32 is one of the numbers between 3/8 and 7/16

Step-by-step explanation:

The set of rational numbers is very dense.

For any given two rational numbers, we can find infinitely many rational numbers between them.

Similarly, there are many rational numbers between 3/8 and 7/16.

One of them is the number in the middle.

To find it add and divide the result by 2.

$\frac{ \frac{3}{8} + \frac{7}{16} }{2}$

$\frac{ \frac{6}{16} + \frac{7}{16} }{2}$

$\frac{ \frac{13}{16} }{2}$

$\frac{13}{32}$

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A student takes a multiple-choice test that has 11 questions. Each question has five choices. The student guesses randomly at ea

marissa [1.9K]

Answer:

a) P(6) = 0.0097

b) P(More than 3) = 0.1611

Step-by-step explanation:

For each question, there are only two possible outcomes. Either it is guessed correctly, or it is not. Questions are independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

A student takes a multiple-choice test that has 11 questions.

This means that $n = 11$

Each question has five choices.

This means that $p = \frac{1}{5} = 0.2$

(a) Find P (6)

This is P(X = 6).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 6) = C_{11,6}.(0.2)^{6}.(0.8)^{5} = 0.0097$

P(6) = 0.0097

(b) Find P (More than 3).

Either P is 3 or less, or it is more than three. The sum of the probabilities of these outcomes is 1. So

$P(X \leq 3) + P(X > 3) = 1$

We want P(X > 3). So

$P(X > 3) = 1 - P(X \leq 3)$

In which

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{11,0}.(0.2)^{0}.(0.8)^{11} = 0.0859$

$P(X = 1) = C_{11,1}.(0.2)^{1}.(0.8)^{10} = 0.2362$

$P(X = 2) = C_{11,2}.(0.2)^{2}.(0.8)^{9} = 0.2953$

$P(X = 3) = C_{11,3}.(0.2)^{3}.(0.8)^{8} = 0.2215$

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0859 + 0.2362 + 0.2953 + 0.2215 = 0.8389$

Then

$P(X > 3) = 1 - P(X \leq 3) = 1 - 0.8389 = 0.1611$

P(More than 3) = 0.1611

8 0

4 years ago

if a company has 5 employees with annual salaries of 40,000 90,000 40,000 30,000 and 80,000 respectively what is the mean annual

I am Lyosha [343]

Answer:

$56,000

Step-by-step explanation

The mean is the average so add all of the numbers together and divide by how many numbers there are.

30000+40000+40000+80000+90000=280,000

280,000/5 = 56,000

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4 years ago

Need help fast will give brainliest!!

Artist 52 [7]

1 : A

2 : A

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4 years ago

Here is the hair length of a sample of 10 students:

scZoUnD [109]

Answer:

The answer to your question is below

Step-by-step explanation:

Mean

(15 + 4 + 14+ 1.5 + 22 + 2 + 16 + 19 + 18 + 3) / 10

= 114.5/10

= 11.45

Median

1.5 , 2, 3, 4, 14, 15, 16, 18, 19, 22

(14 + 15) / 2

= 14.5

Mode

There is no mode

Standard deviation

Formula

$\sqrt{\frac{(x - xm)^{2}}{n - 1}}$

Standard deviation = 7.5

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3 years ago

Px+5=-4x+Q

blondinia [14]

A and d
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4 years ago