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3 years ago

Write a fraction with a decimal value between 1/2 and 3/4

1 answer:

7 0

$\dfrac{1}{2}=\dfrac{1\cdot5}{2\cdot5}=\dfrac{5}{10}=0.5=0.50\\\\\dfrac{3}{4}=\dfrac{3\cdot25}{4\cdot25}=\dfrac{75}{100}=0.75\\\\0.50\ \boxed{ \ \textless \ 0.51 \ \textless \ 0.52 \ \textless \ ... \ \textless \ 0.73 \ \textless \ 0.74} \ \textless \ \ 0.75\\\\\dfrac{1}{2}\ \boxed{\ \textless \ \dfrac{51}{100} \ \textless \ \dfrac{52}{100}=\dfrac{13}{25} \ \textless \ ... \ \textless \ \dfrac{73}{100} \ \textless \ \dfrac{74}{100}=\dfrac{37}{50}}\ \ \textless \ 0.75$

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Assume that random guesses are made for seven multiple choice questions on an SAT test, so that there are nequals7 trials, eac

Ket [755]

Answer:

$P(X < 4)=0.1335+0.3115+0.3115+0.1730=0.9295$

Step-by-step explanation:

Question assumed: Find the probability that the number x of correct answers is fewer than 4.

1) Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

2) Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=7, p=0.25)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

And we want to find this probability:

$P(X < 4)=P(X=0)+P(X=1)+P(X=2)+P(X=3)$

$P(X=0)=(7C0)(0.25)^0 (1-0.25)^{7-0}=0.1335$

$P(X=1)=(7C1)(0.25)^1 (1-0.25)^{7-1}=0.3115$

$P(X=2)=(7C2)(0.25)^2 (1-0.25)^{7-2}=0.3115$

$P(X=3)=(7C3)(0.25)^3 (1-0.25)^{7-3}=0.1730$

$P(X < 4)=0.1335+0.3115+0.3115+0.1730=0.9295$

3 0

4 years ago

What is 5x+3 subtracted from 3x-6

Vikki [24]

The answer is 2x-3 :))((

3 0

4 years ago

Read 2 more answers

Area = length x width

kramer

Answer: It will cost him $237 to seed the entire backyard

Step-by-step explanation:

Hi, to answer this question, first, we have to calculate the area of the rectangular backyard:

Area of a rectangle = length x width

Replacing with the values given:

A = 20 x 15 = 300 ft2

Since seed cost 0.79 per square foot, we simply have to multiply that price by the area:

0.79 x 300 = $237

It will cost him $237 to seed the entire backyard

Feel free to ask for more if needed or if you did not understand something.

3 0

4 years ago

From a group of 8 people, including George and Nina, 3 people are to be selected at random to work on a certain project.

Wewaii [24]

Answer:

The answer is D

Step-by-step explanation:

Have a great day!

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4 years ago

Raven can walk 2 2/5 miles in 3/5 hour. At this rate, how far can she walk in 1 hour? You might want to change 2 2/5 to an impro

elena55 [62]

The distance traveled by Raven in 1 hour at the given rate is 4.0 miles.

The given parameters:

<em>Distance traveled by Raven = 2 2/5 miles</em>
<em>Time of motion, t = 3/5 hour</em>

The speed of Raven motion is calculated as follows;

$V = \frac{Distance}{Time} \\\\V = Distance\ \times \ \frac{1}{Time} \\\\V = 2\frac{2}{5} \ miles \ \ \times \ \ \frac{1}{3/5 \ hr} \\\\V = \frac{12}{5} \ miles \ \ \times \ \ \frac{5}{3 hr} \\\\V = 4 \ mph$

The distance traveled by Raven in 1 hour at the given rate is calculated as follows;

$D = 4 \times 1\\\\D = 4 \ miles$

Learn more about rate and distance here: brainly.com/question/1090517

4 0

3 years ago