Please help me with explanation thank you very much.

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:

https://brainly.com/question/7302008

Answer:

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

Step-by-step explanation:

edge

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

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

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:

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=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:

Answer and Explanation: The x-intercept of y = 3x - 7 is at x = 7/3, and the y-intercept of y = 3x - 7 is at y = -7.

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: 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

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:

https://brainly.com/question/778086

#SPJ1

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:

C, 60 degrees

Step-by-step explanation:

Right Triangle, with a 30 degree angle:
Given degrees:
90 (Right Triangle)
30

90+30 = 120
180-120 = 60

180 Degrees total in a triangle, you simply subtract the measure you have to fidn the third one.

Answer:

The measure of the third angle is 60°.

Step-by-step explanation:

We are given a right triangle that has a 90 degree and two other angles that are unknown.

Since one known angle is 90° and another angle given is 30° then the third angle must be 60°. All triangles must add up to 180°.

180° - 90° -  30° = 60°.

Here is an image of the demonstration/explaining types of triangles.

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)

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

Answer:

Trinomial

Step-by-step explanation:

Because it has 3  terms.

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:

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:

x=47.2153

Step-by-step explanation:

basically its just what I've wrote , simple trigo

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

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

#SPJ1

The minimum amount to the nearest dollar according to the line of best fit from the graph is $26 because as y = $26, x = 0.

The line of best fit is a line that runs across a scatter plot of data points and best reflects the connection between them.

Let's make an assumption from the image below that;

We know that x = 0 at the y-intercept;

Thus, the minimum amount to the nearest dollar according to the line of best fit from the graph is $26 because as y = $26, x = 0.

Learn more about the line of best fit here:

https://brainly.com/question/21241382

Answer:

B

Step-by-step explanation:

2023

Answer:

It seems that you are correct :)

Step-by-step explanation:

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:

a. 5(x + y)

c. 5x + 5y

Step-by-step explanation:

The area = length * width.

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:

A=pir²

Step-by-step explanation:

pi=3.14

r=15

r²=15²=225

A=225× 3.14= 706.5

Answer:

14 hours and 42 minutes

Step-by-step explanation:

Answer :- I think 0 is the answer.