!!!TIME LIMIT PLZ HURRY!!!Which describes the relationship between <1 and <2?

Answer:

The answer is B, I know this because I just took a test with this question lol

If 12 correct answers constitute a passing grade on a 20-item true-false exam, the probability that someone will pass is 1/2 if they are guessing.

Therefore,

Let X denote the number of correctly answered questions out of a total of 20.

Bernoulli trails are formed by repeated coin tosses. Because the "head" on a coin represents the correct answer and the "tail" represents the incorrect answer, the questions that are correctly answered are Bernoulli trials.

[tex]$&\therefore \mathrm{p}=\frac{1}{2} \\[/tex]

[tex]&\therefore \mathrm{q}=1-\mathrm{p}=1-\frac{1}{2}=\frac{1}{2}[/tex]

X follows a binomial distribution with n = 20 and p = 1/2

[tex]&\therefore P(X=x)={ }^n C_x q^{n-x} p^x \\[/tex]

[tex]&={ }^{20} C_x\left(\frac{1}{2}\right)^{20-x} \cdot\left(\frac{1}{2}\right)^x \\[/tex]

[tex]&={ }^{20} C_x\left(\frac{1}{2}\right)^{20}[/tex]

P ( at least 12 questions answered correctly )= P (X ≥ 12)

[tex]&=\mathrm{P}(\mathrm{X}=12)+\mathrm{P}[/tex][tex](\mathrm{X}=13)+\ldots+\mathrm{P}(\mathrm{X}=20) \\[/tex]

[tex]&={ }^{20} \mathrm{C}_{12}\left(\frac{1}{2}\right)^{20}+{ }^{20}[/tex][tex]\mathrm{C}_{13}\left(\frac{1}{2}\right)^{20}+\ldots+{ }^{20}[/tex][tex]\mathrm{C}_{20}\left(\frac{1}{2}\right)^{20} \\[/tex]

[tex]&=\left(\frac{1}{2}\right)^{20} \cdot\left[{ }^{20} \mathrm{C}_{12}+{ }^{20} \mathrm{C}_{13}+\ldots+{ }^{20} \mathrm{C}_{20}\right][/tex]

Hence, If 12 correct answers constitute a passing grade on a 20-item true-false exam, the probability that someone will pass is 1/2 if they are guessing.

The complete question is:

In an examination, 20 questions of true-false type are asked. Suppose a student tosses a fair coin to determine his answer to each question. If the coin falls heads, he answers 'true', if it falls tails, he answers 'false'. Find the probability that he answers at least 12 questions correctly.

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Answer:

C.

Step-by-step explanation:

f(3) is referring to 3 on the left side and it is beside 1 which is on the left so it's 1.

Step-by-step explanation:

[tex] \frac{6 + ( -2)}{2} = 2[/tex]

this is for x

[tex] \frac{ - 2 + 8}{2} = 3[/tex]

this is for y

so it will become (2,3)

it is 100 times greater because it is two places higher than 57,080

Answer:\

a

The null hypothesis is  [tex]H_o : \mu_1 - \mu_2 \le 0[/tex]

The alternative hypothesis is  [tex]H_a :  \mu_1 - \mu_2 > 0[/tex]

b

[tex]t  = -0.39[/tex]

c

The conclusion

There is sufficient evidence to conclude that the female outscores the male.

Step-by-step explanation:

From the question we are told that

  The  sample size for male  is  [tex]n_1  =  30[/tex]

    The sample size for female is  [tex]n_2  =  30[/tex]

 The level of significance is  [tex]\alpha = 0.01[/tex]

The null hypothesis is  [tex]H_o : \mu_1 - \mu_2 \le 0[/tex]

The alternative hypothesis is  [tex]H_a :  \mu_1 - \mu_2 > 0[/tex]

Generally the sample mean for male is  

     [tex]\= x_1  =  \frac{\sum x_i}{n_1}[/tex]

=>   [tex]\= x_1  =  \frac{620 + 570 +540 + \cdots + 580  }{30}[/tex]

=>   [tex]\= x_1  =  574.33 [/tex]  

Generally the standard deviation of  male is  

     [tex]s_1 = \sqrt{\frac{\sum (x_1 - \= x)^2}{n_1} }[/tex]

=>  [tex]s_1 = \sqrt{\frac{ (620 - 574.33)^2 + (570 - 574.33)^2 +  (540 - 574.33)^2 + \cdots +(580 - 574.33)^2  }{30} }[/tex]

=>  [tex]s_1 =206.24 [/tex]

Generally the sample mean for female is  

     [tex]\= x_2  =  \frac{\sum x_i}{n_2}[/tex]

=>   [tex]\= x_2  =  \frac{660 + 590 +560 + \cdots + 560  }{30}[/tex]

=>   [tex]\= x_2  =  593.33 [/tex]      

Generally the standard deviation of  male is  

 [tex]s_2 = \sqrt{\frac{\sum (x_1 - \= x)^2}{n_2} }[/tex]

=>  [tex]\sigma_1 = \sqrt{\frac{ (660 - 593.33)^2 + (590 - 593.33)^2 +  (560 - 593.33 )^2 + \cdots +(560 - 593.33)^2  }{30} }[/tex]

=>  [tex]s_2 =169.31 [/tex]

Generally the degree of freedom for unequal  variance is mathematically represented as  

[tex]df  =  \frac{[\frac{s_1^2}{n_1}  +\frac{s_2^2}{n_2}   ]^2}{ \frac{[\frac{s_1^2}{n_1}]^2}{n_1 -1}  +\frac{[\frac{s_2^2}{n_2}]^2}{n_2 -1}  }[/tex]

=> [tex]df  =  \frac{[\frac{206.24^2}{30}  +\frac{169.31^2}{30}   ]^2}{ \frac{\frac{206.24^2}{30}}{30 -1}  +\frac{\frac{169.31^2}{30}}{30 -1}  }[/tex]

=>[tex]df  = 56[/tex]

Generally the test statistics is mathematically represented as

  [tex]t  = \frac{\= x _1- \= x_2 }{\sqrt{\frac{s_1^2}{n_1}  + \frac{s_2^2}{n_2}} }[/tex]

=> [tex]t  = \frac{574.33- 593.33 }{\sqrt{\frac{206.24^2}{30}  + \frac{169.31^2}{30}} }[/tex]

=> [tex]t  = -0.39[/tex]

From the t distribution table the value of  [tex]P(t < -0.39)[/tex] at a degree of freedom of  [tex]df  = 56[/tex] is  

   [tex]P(t <  -0.39) = 0.3490080[/tex]

Hence the p-value  is   [tex]p-value =  0.3490080[/tex]

From the values obtained we see that the p-value  is  >[tex]\alpha[/tex]

Hence we fail to reject the null hypothesis.

The conclusion is  

  There is sufficient evidence to conclude that the female outscores the male

Answer:

the correct answer is: C. The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.

Step-by-step explanation:

A straight line passing through the points (1, 2), (3, 4), (5, 6) and (7, 8) does not pass through the origin, as shown on the graph below.

Therefore, the line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.

Answer:

The line that passes through the given coordinates represents a proportional relationship because the line passes through the origin--the correct answer is B.

Step-by-step explanation:

You first graph the coordinates shown, then you repeat the same pattern until the answer is revealed which is shown in the column above. Also, a reminder to all a proportional line is a line that goes through the origin ((0,0)).

Answer:

girls 4/9 or (Decimal: 0.444444) percent is 44.4%

boys 5/9 or (Decimal: 0.555556) percent is 55.5%

Answer: subtraction property of equality

Step-by-step explanation:

He had 40 pencils left after he gave away 8, so originally he had 40 + 8 pencils, which is 48.

Now, he bought 4 packages, which had a total of 48 pencils, so divide 48 by 4, which is 12. He had 12 pencils in each package.

To determine the solution arithmetically, first add 8 to 40, then divide 48 by 4.

To determine the solution algebraically, set up and solve the equation 40 = 4x - 8.

Each package contained 12 pencils.

Hope this helps

Answer:

D x = 1

Step-by-step explanation:

Answer:

4 chocolates

Step-by-step explanation:

n-c

brother-5n

5n-n=4

=4

Answer: The first option would take: 3.2 hr

The second option would take: 3 hr

The faster option is the: second

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

Speed = distance / time.

First option:

Walking  at 3mph for 2 hours will give 2*3 = 6 miles.

So for 6 miles travelling at 5 mph he will take 6/5 = 1.2 hours.

Total time = 3.2 hours.

Second option:

Walking for 12 miles at 4 mph will take him 12/4 = 3 hours.

The fastest option is the second one.

Answer:

is there a chart to this question?

because I can't tell the answer just by looking at it

Step-by-step explanation:

it's a b c d and f are all the correct answers

Answer:

dud

Step-by-step explanation:

fjfn

kgoipyx

vbjjkkkkkkjjjjhcblxkcjl

Answer:

23

Step-by-step explanation:

Answer:

A' (4,4), B' (5,7), C' (9,7)

Step-by-step explanation:

Answer:solution

Step-by-step explanation:

An ordered pair that satisfies all the equations in a linear system of equations is called a: solution of the linear system.

A linear function is a function that has a positive relationship between its variables.

Hence, an increase in one variable (input variable) causes an increase in the other variable (output variable) because the variables are directly proportional.

Mathematically, the graph of a linear function is a straight-line and its slope is always constant.

On a related note, a linear system of equation is an algebraic equation of the first order with two variables and each of its term having an exponent of one.

Generally, a system of linear equations in two variables must have at least two solution.

In conclusion, a solution of the linear system is an ordered pair that satisfies all the equations in a linear system of equations.

Read more: https://brainly.com/question/24085666

Answer:

5 miles

Subtract the 1 dollar for each person from 12. You get ten, and divide ten by two, which is 5

Answer:

lol how are you gonna lie? the person asking will see the dirty dishes.

Step-by-step explanation:

Answer:

Sorry i didnt really hear what you said i was kind of in a rush.

we ran out of soap

I had a really important assignment that i need to do right away

I had a headache

I threw up

Step-by-step explanation:

The area of the triangle ABC for the considered triangle plotted in the considered image is 66.5 sq. units approximately.

The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]

The coordinates of the points A, B, C, and D in the given figure are:

Finding the length of the line segments AD and CB, which will be the distance between A and D, and C and B respectively.

Thus, we get:

Length of line segment AD = |AD| = distance between A and D = [tex]\sqrt{(0-7)^2 + (7-(-2))^2} = \sqrt{7^2 + 9^2} = \sqrt{130} \: \rm units.[/tex]

Similarly, we get:
|CB| = [tex]\sqrt{(-3-7)^2 + (-4-(-2))^2} = \sqrt{10^2 + 6^2} = \sqrt{136} \: \rm units.[/tex]

If we take CB as the base of ABC triangle, then as AD is perpendicular on CB, and touches the peak of the triangle ABC from its base, so AD is height of the triangle.

Thus, as we know know that:

Thus, the area of the triangle ABC is:

[tex]A = \dfrac{base \times height}{2} = \dfrac{\sqrt{130} \times \sqrt{136}}{2} \approx 66.5 \: \rm unit^2[/tex]

Thus, the area of the triangle ABC for the considered triangle plotted in the considered image is 66.5 sq. units approximately.

Learn more about distance between two points here:

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Answer:

4a - 22x

Step-by-step explanation:

-13x +14a - 12x + 7x - 4x = 4a - 22x

hope this helps :)

Answer:

all really all you have to do is do 8 divided by 19 and then whatever that number that you get from that attractive from your highest number that you have in your question which is 11000

Answer:

1) 1728

2)322.5

3)4

............

Answer:

What are you asking for?

Step-by-step explanation:

I'll answer again i just need to know more srry lo

Answer:

.2 inches a min.

Step-by-step explanation:

Answer:

0.05

Step-by-step explanation:

6 divided by 120 = 0.05

Hope this helps☺️

Answer:

yes it is u did a good job