which situation is the best for the equation 3x=288

Answer:

3π

Step-by-step explanation:

The arc length is just a fraction of the circumference of the circle which we know is represented by the equation L=2πr.

The radius is given ad 6. So the circumference is:

2*π*6=12π

Now, since the angle of the arc is 90°, this is 1/4 of the circle.

This means that the arc length of this section will be 1/4th of the total circumference which is:

12π/4=3π

Answer:

17/21

Step-by-step explanation:

The amount of people that ate eggs only are:

42* 1/7 = 6

The amount of people that ate both pancakes and eggs are:

42 * 2/3 = 28

That means 34 people ate pancakes only.

The fraction that represents this is 34/42 = 17/21

Answer:

  dilation by a factor of 3 about (1, 0)

Step-by-step explanation:

You have correctly surmised that Q is a dilation of P by a factor of 3. The center of dilation is not the origin, so the trick is to figure out where it is.

__

An original point and its dilated image are always on the same line through the center of dilation. Here, that center can be found by drawing lines through the corresponding vertices. The attachment shows the center of dilation is (1, 0) on the x-axis.

The single transformation is ...

  dilation by a factor of 3 about the point (1, 0).

__

Additional comment

You can check this by seeing that each image point is 3 times as far from this center as the corresponding original point.

Answer:

x=47.2153

Step-by-step explanation:

basically its just what I've wrote , simple trigo

The value of x is 5. Thus, the correct statement is:

x = 5 is a true solution because log subscript 2 Baseline (16) = 4

Log₂ (x + 11) = 4

x + 11 = 2⁴

x + 11 = 16

Collect like terms

x = 16 – 11

x = 5

Log₂ (x + 11) = 4

x = 5

Log₂ (5 + 11) = 4

Log₂ 16 = 4

Find the value of Log₂ 16

Log₂ 16 = n

16 = 2ⁿ

2⁴ = 2ⁿ

n = 4

Thus,

Log₂ 16 = 4

Therefore, the correct answer to the question is:

x = 5 is a true solution because log subscript 2 Baseline (16) = 4

Complete question

Which of the following is true regarding the solution to the logarithmic equation below? log Subscript 2 Baseline (x + 11) = 4. x + 11 = 2 Superscript 4. x + 11 = 16. x = 5. x = 5 is not a true solution because log Subscript 5 Baseline (16) not-equals 2 x = 5 is not a true solution because log Subscript 5 Baseline (16) not-equals 4 x = 5 is a true solution because log Subscript 2 Baseline (16) = 4 x = 5 is a true solution because log Subscript 4 Baseline (16) = 2

Learn more about Logarithm equation:

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Answer:

C, x = 5 is a true solution because log Subscript 2 Baseline (16) = 4

Step-by-step explanation:

edge

The commutative property of multiplication is verified for the case when p =5/28 and q=49/35 because we get p × q = 0.25 =  q × p

Proof usually is generalized, ie, it applies for all possible cases of the given condition, or a large set of cases. But vertification is a check for single special case.

For this case, we've to verify that p × q = q × p when p =5/28 and q=49/35

For p =5/28 and q=49/35 we get:

[tex]p \times q = \dfrac{5}{28} \times \dfrac{49}{35} = \dfrac{5 \times 49}{28 \times 35}\\\\\\p \times q = \dfrac{245}{980} = 0.25[/tex]

Also, we get:

[tex]p \times q =\dfrac{49}{35} \times \dfrac{5}{28} = \dfrac{49 \times 5}{35 \times 28}\\\\\\p \times q = \dfrac{245}{980} = 0.25[/tex]

Thus, we get: p × q = 0.25 =  q × p

Hence, verified.

Thus, the commutative property of multiplication is verified for the case when p =5/28 and q=49/35 because we get p × q = 0.25 =  q × p

Learn more about commutative property of multiplication here:

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Answer:

a. 5(x + y)

c. 5x + 5y

Step-by-step explanation:

The area = length * width.

Answer:

It seems that you are correct :)

Step-by-step explanation:

Answer: 20 L of 33% solution and 60 L of 5% solution should be mixed

Step-by-step explanation:

0.33x + 0.05(80-x) = 0.12*80

0.33x + 4-0.05x = 9.6

0.33x - 0.05x = 9.6-4

0.28x = 5.6

x = 5.6/0.28

x = 20 L of 33% solution should be used

80-20 = 60 L of 5% solution should be used

Proof:

0.33*20 + 0.05*60 = 0.12*80

6.6 + 3 = 9.6

9.6 = 9.6

hope it really helps.....!!!!

Using the z-distribution, as we are working with a proportion, it is found that:

a) The population proportion is of 0.625.

b) The interval is (0.586, 0.664).

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

In this problem, we have a 99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.

The sample size and the population proportion are given, respectively, by:

[tex]n = 1040, \pi = \frac{650}{1040} = 0.625[/tex]

Hence, the bounds of the interval are given by:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.625 - 2.575\sqrt{\frac{0.625(0.375)}{1040}} = 0.586[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.625 + 2.575\sqrt{\frac{0.625(0.375)}{1040}} = 0.664[/tex]

More can be learned about the z-distribution at https://brainly.com/question/25890103

Answer :- I think 0 is the answer.

Answer:

3 . 1 4 1 5 9 2 6 5 3 5 8 9 7 9 3 2 3 8 4 6 2 6 4 3 3 8 3 2 7 9 5 0 2 8 8 4 1 9 7 1 6 9 3 9 9 3 7 5 1 0 5 8 2 0 9 7 4 9 4 4 5 9 2 3 0 7 8 1 6 4 0 6 2 8 6 2 0 8 9 9 8 6 2 8 0 3 4 8 2 5 3 4 2 1 1 7 0 6 7 9 8 2 1 4 8 0 8 6 5 1 3 2 8 2 3 0 6 6 4 7 0 9 3 8 4 4 6 0 9 5 5 0 5 8 2 2 3 1 7 2 5 3 5 9 4 0 8 1 2 8 4 8 1 1 1 7 4 5 0 2 8 4 1 0 2 7 0 1 9 3 8 5 2 1 1 0 5 5 5 9 6 4 4 6 2 2 9 4 8 9 5 4 9 3 0 3 8 1 9 6 4 4 2 8 8 1 0 9 7 5 6 6 5 9 3 3 4 4 6 1 2 8 4 7 5 6 4 8 2 3 3 7 8 6 7 8 3 1 6 5 2 7 1 2 0 1 9 0 9 1 4 5 6 4 8 5 6 6 9 2 3 4 6 0 3 4 8 6 1 0 4 5 4 3 2 6 6 4 8 2 1 3 3 9 3 6 0 7 2 6 0 2 4 9 1 4 1 2 7 3 7 2 4 5 8 7 0 0 6 6 0 6 3 1 5 5 8 8 1 7 4 8 8 1 5 2 0 9 2 0 9 6 2 8 2 9 2 5 4 0 9 1 7 1 5 3 6 4 3 6 7 8 9 2 5 9 0 3 6 0 0 1 1 3 3 0 5 3 0 5 4 8 8 2 0 4 6 6 5 2 1 3 8 4 1 4 6 9 5 1 9 4 1 5 1 1 6 0 9 4 3 3 0 5 7 2 7 0 3 6 5 7 5 9 5 9 1 9 5 3 0 9 2 1 8 6 1 1 7 3 8 1 9 3 2 6 1 1 7 9 3 1 0 5 1 1 8 5 4 8 0 7 4 4 6 2 3 7 9 9 6 2 7 4 9 5 6 7 3 5 1 8 8 5 7 5 2 7 2 4 8 9 1 2 2 7 9 3 8 1 8 3 0 1 1 9 4 9 1 2 9 8 3 3 6 7 3 3 6 2 4 4 0 6 5 6 6 4 3 0 8 6 0 2 1 3 9 4 9 4 6 3 9 5 2 2 4 7 3 7 1 9 0 7 0 2 1 7 9 8 6 0 9 4 3 7 0 2 7 7 0 5 3 9 2 1 7 1 7 6 2 9 3 1 7 6 7 5 2 3 8 4 6 7 4 8 1 8 4 6 7 6 6 9 4 0 5 1 3 2 0 0 0 5 6 8 1 2 7 1 4 5 2 6 3 5 6 0 8 2 7 7 8 5 7 7 1 3 4 2 7 5 7 7 8 9 6 0 9 1 7 3 6 3 7 1 7 8 7 2 1 4 6 8 4 4 0 9 0 1 2 2 4 9 5 3 4 3 0 1 4 6 5 4 9 5 8 5 3 7 1 0 5 0 7 9 2 2 7 9 6 8 9 2 5 8 9 2 3 5 4 2 0 1 9 9 5 6 1 1 2 1 2 9 0 2 1 9 6 0 8 6 4 0 3 4 4 1 8 1 5 9 8 1 3 6 2 9 7 7 4 7 7 1 3 0 9 9 6 0 5 1 8 7 0 7 2 1 1 3 4 9 9 9 9 9 9 8 3 7 2 9 7 8 0 4 9 9 5 1 0 5 9 7 3 1 7 3 2 8 1 6 0 9 6 3 1 8 5 9

Your welcome

Answer:

A=pir²

Step-by-step explanation:

pi=3.14

r=15

r²=15²=225

A=225× 3.14= 706.5

The probability of drawing a white marble followed by a yellow marble, without replacing the white marble is 0.091

The distribution of the marbles is given as:

White = 3

Yellow = 4

Green = 5

Total = 12

The probability of selecting a white marble is:

P(White) = 3/12

Now, there are 11 marbles left.

The probability of selecting a yellow marble is:

P(Yellow) = 4/11

The required probability is:

P = 3/12 * 4/11

Evaluate

P = 0.091

Hence, the probability of drawing a white marble followed by a yellow marble, without replacing the white marble is 0.091

Read more about probability at:

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C, every 5th student entering the school.

This would provide the least biased answer by the chances, it would not be skewed as my boy Gabe is asking random people that are spread out rather than simply everyone on his soccer team (if there is a connection between enjoying pizza and playing soccer) or asking everyone in the cafeteria, as similar people may sit together. It’s all in the chances.

Question:

Gabriel wants to know which pizzeria is most popular with students at his school. Which group of students should Gabriel survey in order to get the most accurate results?

Answer:

C. Every 5th person entering the school.

Step-by-step explanation:

A. All the boys in the cafeteria. This is incorrect because they would only add up to 1. The boys. And 2. Only the boys inside of the cafeteria. So that not even counting the ones that are still in the classrooms or in the bathrooms. so therefore A is incorrect.

B. All the students on his soccer team. This would not add up to much because lets say there are 10 players on his soccer team and over 100 people in his school, that would only make up 10% of his whole school, so obviously, B. Is also incorrect.

D. Every 5th person entering Daniella's Pizzeria. This is incorrect also because Gabriel wants to know which pizzeria is most popular in his school, this answer does not say anything about his school, it only says which pizzeria and how many people. In answer D. It says Every 5th person entering Daniella's Pizzeria. This answer already says which pizzeria he would be going to so that part is already proof that D is incorrect.

C. Every 5th person entering the school. This is correct beause it explains how he would be asking every 5th person entering the school. So lets say most of the people he tallied likes Daniella's Pizzeria the most. There would be a tally poll that I have shown in the picture. (Sorry that its messy I did that on mouse.) and as you see in green it says that more people like Daniella's Pizzeria more than any others. So now Gabriel has his results, so now he knows which pizzeria to go to.

Link for whiteboard from picture: witeboard.com

Using the binomial distribution, it is found that there is a 0.25 = 25% probability of getting exactly 3 tails.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability of getting 3 tails is P(X = 3), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{4,3}.(0.5)^{3}.(0.5)^{1} = 0.25[/tex]

0.25 = 25% probability of getting exactly 3 tails.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

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Answer:

720 ways

Step-by-step explanation:

10 P 3  

or  10 * 9 * 8 = 720 ways

Answer:

The answer should be 2.

0 is the lowest number and then 2 would be lower quartile, The 4 would be the Median or the middle of all the data 7 is the upper quartile and 10 would be the highest number of absences.

Answer:

A

Step-by-step explanation:

If you plug in the x and y into both of those equations, you can see that only A would make the equation true.

Hope This Helps! :) Please mark as brainliest if you can!

Answer:

The answer should be;
A: (0,2)

Step-by-step explanation:

When graphing out the formulas and shading them accordingly, you can see which of those points fall into the double shaded areas.  (4,5) falls into an area that isn't shaded at all, which (2,-1) falls into an area where it is only shaded by one layer.  I have graphed this out for you so hopefully you understand :)

Answer:

The number (81.59) will round to 82.

Step-by-step explanation:

First, let us understand what the question means by "whole numbers".

Whole numbers are such integers that are positive. (Except 0, which is a non-positive and non-negative integer).

Whole numbers: 0, 1, 2, 3, 4, 5, 6....

If the number before the decimal is smaller than 50, then the number will round down. If the number before the decimal is greater than or equal to 50, then the number will round up.

We can see that 81.59 is between two integers (81 and 82). Therefore, 81.59 can either round down to 81 or round up to 82.

Since the number after the decimal (81.59) is greater than 50, the number rounds up to 82. Therefore, the number (81.59) will round to 82.

Learn more about whole numbers: https://brainly.com/question/17654101

Answer:

5.5) 5

6.0) 6

6.5) 7

7.0) 3

Step-by-step explanation:

Hope this helps and if it does PLS! give me brainiliest. PLS!

Answer:

14 hours and 42 minutes

Step-by-step explanation:

Answer:

a = 600

b = 1200

Step-by-step explanation:

a =,

600 = 100%

60 = 10%

with simple interest you add the original ten percent each time so,

600+60+60+60+60+60 etc....

or

you could do 600 x 1.1¹⁰

they both work the same

b = 600 + (ans of a)

Answer:

The answer should be somewhere around 13.4375

Step-by-step explanation:

Since the price is 10.75 and it wants you to add 25% or a quarter to it. You can divide 10.75 by 4, which is 2.6875 and add it. You will get 13.4375.

Answer:

B. the greatest common factor of 10 and 15 is 5.

Step-by-step explanation:

A. is worg 14 cannot be divided by 5

C. is wrong 13 cannot be divided by 3

D. is wroing 14 cannot be divided by 3

I mean they all can but you won't get the whole numbers only fractions.

Option B

Let's check each option one by one.

A) The greatest common factor of 10 and 14 is 5.

Write down the factors of 10 and 14.

⇒ Factors of 10: 1, 2, 5, 10

⇒ Factors of 14: 1, 2, 7, 14

We can see here that the GCF is "1" as it is the greatest factor of 10 and 14.

Hence, option A is incorrect.

B) The greatest common factor of 10 and 15 is 5.

Write down the factors of 10 and 15.

⇒ Factors of 10: 1, 2, 5, 10

⇒ Factors of 15: 1, 3, 5, 15

We can see here that the GCF is "5" as it is the greatest factor of 10 and 15.

Hence, option B is correct.

C) The greatest common factor of 13 and 21 is 3.

Write down the factors of 13 and 21.

⇒ Factors of 13: 1 and 13

⇒ Factors of 21: 1, 3, 7, 21

We can see here that the GCF is "1" as it is the greatest factor of 13 and 21.

Hence, option C is incorrect.

D) The greatest common factor of 14 and 21 is 3.

Write down the factors of 14 and 21.

⇒ Factors of 14: 1, 2, 7, 14

⇒ Factors of 21: 1, 3, 7, 21

We can see here that the GCF is "7" as it is the greatest factor of 14 and 21.

Hence, option D is incorrect.

Thus, Option B is correct.

Answer:

 A=941.33 square inches.

Step-by-step explanation:

The total area of the banner is the sum of the areas of the square and the semicircle (half cricle) The side length of the square is 26 inches and the radius of the semicircle is 13 inches (half of the dimeter) so: A=Asquare+Asemicircle A=(s2)+(12)πr2 A=262+12(3.14)(13)2 A=676+265.33

Answer:

10

Step-by-step explanation:

1. 2(4.5)+1

2. 9+1

3. 10