QUESTION 3 I [12] A student must answer a multiple-choice question with five possible answers. He knows the correct answer with probability 0.55. If he does not know the correct answer, he randomly guesses one of the possible answers. a) Draw a tree diagram and clearly define all relevant events.​

Answer:

1111/1250

Step-by-step explanation:

Hey there!

To find what fraction represents the decimal shown, you can take each answer choice, and divide the two numbers

We can do this because a fraction is a simple way of dividing two rational numbers

Our answer is 1111/1250

In order to check if this is correct, we can just divide 1111 and 1250

When you divide this, you get 0.8888...

So the fraction that represents 0.888... is 1111/1250

A fraction that represents the decimal 0.8888 is: 1111/1250

In Mathematics, fractions are represented as a numerical value, can be defined as the parts of a whole. A fraction can be a portion or section of any quantity out of a whole, where, the whole can be any number, a specific value, or a thing.

Given is decimal number 0.8888... we need to convert it into a fraction,

Since the number has 4 decimal places, then the first thing to do is multiply and divide the number by 10000.

We have then:

0.8888* (10000/10000) = 8888/10000

Simplifying we have:

8888/10000 = 4444/5000

4444/5000 = 2222/2500

2222/2500 = 1111/1250

Hence, the fraction that represents the decimal 0.8888 is: 1111/1250

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Using the Central Limit Theorem, it is found that the sampling distribution of the sample proportion of the 50 questions on which you get the correct is approximately normal, with mean of 0.7 and standard error of 0.0648.

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

In this problem, we have that p = 0.7, n = 50, hence the mean and the standard deviation are given as follows:

[tex]\mu = p = 0.7[/tex]

[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.7(0.3)}{50}} = 0.0648[/tex]

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

Answer:

x = 25

Step-by-step explanation:

This is just algebra involved with geometry!

Your objective is to solve for x.

The line dividing the 2x-5 and x+20 is the bisector

A bisector means the two angles have to be equal!

Your objective is to solve for x.

The line dividing the 2x-5 and x+20 is the bisector

A bisector means the two angles have to be equal!

2x-5=x+20 should be the equation!

Subtract x from both sides

x-5=20

Now add 5 to both sides

x=20+5

x=25

Now you need to plug the answers in!

50-5 for 2x-5

25+20 for x+20

45+45 = 90      

I don't really know about the 125 but if that was excluded then this is it ^^^

The value of x is,

⇒ x = 33.3°

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

The value of total angle is, 125°

Hence, By definition of angles we get;

⇒ (2x - 5) + (x + 20) = 125°

⇒ 3x + 15 = 125°

⇒ 3x = 125 - 15

⇒ 3x = 110

⇒ x = 33.3°

Thus, The value of x is,

⇒ x = 33.3°

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Answer:

[tex]28km[/tex]

Step-by-step explanation:

[tex]5miles = 8km[/tex]

[tex]17.8miles = x[/tex]

[tex] \frac{17.8}{5} \times 8km[/tex]

[tex]x = 28km[/tex]

Answer:

346.361 Yd^2 rounded to the nearest tenth is 346.4 Yd^2

Step-by-step explanation:

The area of a disk is A=π[tex]R^2[/tex] where R=10.5 yard.

Answer:

346.2 yd^2

Step-by-step explanation:

π*r^2 <== substitute the numbers for pi(π) and radius(r)

3.14*10.5^2

3.14*110.25

346.185 <== round to the nearest tenth

346.2 yd^2

Hope this helps!

Answer:

48×4.3=184 and that is the easy way how to do it

Answer:

what are the objectives of census class 7

Answer:

The answer is C hope this can help you out!

Answer;

J(5,3) = x,y

rotated on 90;

J'(-3,5)

Therefore, the coordinates of the resulting point is J'(-3,5).

The window that has the shape of a kite has the area of the glass as 648 centimetre squared.

Area can be defined as the space occupied by a flat shape or the surface of an object. Therefore,

The window is the shape of a kite. Therefore, the square meters of the glass used for the window is the area of the window(kite).

Therefore,

area of kite = ab / 2

where

Therefore,

a = 18 + 18 = 36 cm

b = 15 + 21 = 36 cm

area of the window = 36 × 36 / 2 = 1296 / 2 = 648 cm²

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Answer:

the answer is F

Step-by-step explanation:

one of the point is 2,10 and the costant would be 5 so g would be 30/6 which is 5 h would be 45/9 which is 5 and j would be 10/2 which is 5 so f is the correct answer because it foesnt have the same unit ratr

Answer:

mortgage

Step-by-step explanation:

all the others just dont fit the question. might be wrong might not be who knows

Answer:

x=30

Step-by-step explanation:

x = x

half of x  = (1/2) x = "its half"

third of x = (1/3) x = "its third"

"A number x when added to its half" = x + (1/2)x

"its third increased by 35" = (1/3)x + 35

according to the prompt, these two are equal, so

x + (1/2) x = (1/3)x + 35

x = 1x = (2/2)x to match denominators

(2/2)x + (1/2)x = (1/3)x + 35

= (3/2)x

(3/2)x = (1/3)x + 35

subtract (1/3)x from both sides to isolate the variable and its coefficients

(3/2)x - (1/3)x = 35

multiply both sides by 6 as that is the lowest common multiple of both 2 and 3 (2*3 = 6 so 6 is a multiple of both)

9x - 2x = 35*6

7x = 210

divide both sides by 7 to isolate x

x = 30

Answer:

Step-by-step explanation:

perp. -8/3

y + 2 = -8/3(x - 8)

y  + 2 = -8/3x + 64/3

y + 6/3 = -8/3x + 64/3

y = -8/3x + 58/3

y + 2 = -3/8(x - 8)

y + 2 = -3/8x + 3

y = -3/8x + 1

Answer:

see below

Step-by-step explanation:

12^6 / 12^3   = 12 ^(6-3)  12^3

(9^3)^5  = 9^(3*5) =  9 ^ 15

could you repost/answer with a picture?

Answer:

The z-test statistic for a hypothesis test in which the null hypothesis states that the population proportion, p, equals 0.14 if the following sample information is present (n = 200; x = 31) is z = .6114.

Step-by-step explanation:

The z-test statistic formula is:

We are given x = 31 and n = 200, so we can solve for [tex]\hat{p}[/tex] : 31/200 = .155.

The population proportion, [tex]p=.14[/tex], is given in the problem.

We can substitute the known values into the z test statistic formula:

The z-test statistic for this problem is z = .6114.

Answer:

68/100=17/25

Step-by-step explanation:

Since there are 2 digits in 68, the very last digit is the "100th" decimal place. So we can just say that 68 is the same as 68/100. terms by dividing both the numerator and denominator by 4. :D

Answer:

0.68=17/25

Step-by-step explanation:

first, turn it into a regular number which is as simple as dividing by 100, then you want to find a fraction which you first convert 0.68 into 68/100 and simplifying it gives you 17/25.

Answer:

Q13)A man is four times as old as his son. After 20 years, he will be twice as old as his son at that time. Find their present ages. Present age of the father is = 4 x = 4 × 10 = 40 4x=4\times10=40 4x=4×10=40 years.

Answer:

the means to and reroof is 10

the distributions are somewhat similar

Step-by-step explanation:

Answer:

the distributions are different

Answer:

Already answered in advance in the comments section

Step-by-step explanation:

Feel free to ask more questions if any!

Answer:

-1/3

Step-by-step explanation:

because it is a negative number and closer to zero than -3 is making it greater, becuase it is closer to a positive number.

Answer:

-1/3 is greater than -3

-3 < -1/3

Answer:

50°

Step-by-step explanation:

the sum of the angles of a quadrilateral is 360°

so

2x + 110 + x + 10 + 90 = 360

2x + x = 360 - 110 - 10 - 90

3x = 150

x = 150 : 3

x = 50°

-------------------------

check

50 + 10 + 2 * 50 + 110 + 90 =

360°.

the answer is good

Answer:

x = 50

2x = 110°

(x + 10)° = 60°

Step-by-step explanation:

The sum of the interior angles of a quadrilateral is 360°

⇒ 2x° + (x + 10)° + 110° + 90° = 360°

⇒ 2x° + x° = 360° - 110° - 90° - 10°

⇒ 3x° = 150°

⇒ x = 50

Substitute found value of x into the expressions and solve:

⇒ 2x° = 2(50)° = 110°

⇒ (x + 10)° = (50 + 10)° = 60°

Answer:

Step-by-step explanation:

In a parallelogram, opposite angles are congruent.

∠A = ∠C

4x + 20 = x + 26

Step 1: To find the valu of 'x', first subtract 20 from both sides

4x = x + 26- 20

4x = x + 6

Step2: Now, subtract 'x' from both sides

4x -x = 6

3x = 6

Step:3: divide both sides by 3

x = 6/3

x = 2

∠A = 4*2 + 20

      = 8 + 20

∠A = 28°

Answer:

The value of "a" is 1/2.

You can also check the answer by putting the value of a in the given equation...

if u need it let me know

Answer:

a.) Graph is attached; blue is Petunia's and red is Billy's

b.) Number of Hours: 4 | Cost: 32 Pounds

Answer:

Loss is Rs. 78

Step-by-step explanation:

Solution:

Given,

Here,

L%= L/CP ×100%

or,. 5 =L/1560×100

or,. 5×1560/100 =L

or,. L= Rs.78

Therefore, Loss is Rs.78

Pi, or π, is a number that is used to represent the ratio between a circle's circumference and its diameter.

Step-by-step explanation: