A new version of the SAT is given to 1000 randomly selected high school seniors. The sample mean test score is 1100, and the sample standard deviation is 123. Construct a 95% confidence interval for the population mean test score for high school seniors. Which probability distribution do you use?

1) 462/11= 42

  42x7=294

2) 9.38/7= $1.34

3) 6/11= 0.54545454545455

4) 1/4= 0.25

   2/9= 0.22222222222

   3/10= 0.30

   2/1= 2.00

   1/5= 0.20

   least to greatest- 1/5, 2/9, 1/4, 3/10, 2/1

5) 9/15= 0.6 > 60%

    to turn into a percent, move 2 decimal places!

6) 10/4= 2.5

    2.5x18= 45

7) 2/3= 0.66666666666

   0.66666666666x7= 4.66666666667

The value of h, g, y and x are 20,18, 11 and 2 respectively

Quadrilaterals are shapes with 4 sides an angles. A parallelogram is a quadrilateral with equal opposite sides.

From the given diagram, the diagonals bisects each other such that;

10) h - 8 =12

h = 12 + 8

h = 20

Similarly;

g+7 = 15

g = 15 - 7

g = 8

11) For the other diagram

2y+9 = 27

2y = 27 - 9
2y = 22

y = 22/2

y = 11

Similarly;

3x + 6 = 12

3x = 6

x = 2

Hence the value of h, g, y and x are 20,18, 11 and 2 respectively

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Answer:

Arithmetic density.

Step-by-step explanation:

The correct answer is arithmetic density. This is because for a country, it is also known as real density and it's defined as the number of people per unit area of total land in that country.

Thus, the population of a country divided by its area determines its arithmetic density

Answer:

Last option

Step-by-step explanation:

It is the last option because the input(x) repeats

Answer:

Step-by-step explanation:

To calculate 7⋅VN−→3⋅MT−→, we need to perform scalar multiplication on the two vectors. Scalar multiplication is simply multiplying each of the components of the vector by the scalar value.

So for the first vector, we have: 7⋅VN−→ = {7⋅(-8); 7⋅3} = {-56; 21}.

For the second vector, we have: 3⋅MT−→ = {3⋅2; 3⋅10} = {6; 30}.

Then to add the two vectors, we simply add the corresponding components: {-56; 21} + {6; 30} = {-50; 51}.

Therefore, the final result is {-50; 51}.

Ms. Logrieco's door: 35 students per 10 minutes

Mr. Riley's door: 22 students per 8 minutes

Time Frame: 24 minutes

35 x 2 = 70

35 x 2/5 = 14

70 + 14 = 84

22 x 3 = 66

84 + 66 = 150

Thus, we can expect for 150 students to be in the cafeteria after 24 minutes.

The possible to create secure and reliable methods for transmitting information.

Math is a crucial aspect of creating codes and ciphers, as it allows for the creation of complex and secure encryption methods. In the art of creating codes and ciphers, math is used to create formulas and algorithms that can be used to encode and decode messages. For example, the Caesar cipher, one of the oldest and most well-known ciphers, involves shifting each letter of a message by a fixed number of positions in the alphabet. This is a simple example of how math can be used to create codes and ciphers, but there are many more complex methods that involve the use of mathematical concepts such as modular arithmetic, matrices, and prime numbers. By using math to create codes and ciphers, it is possible to create secure and reliable methods for transmitting information.

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Answer:

= 156 app downloaded in 12 days

use: 13x

plug in the amount of day for x.

Step-by-step explanation:

52/4 = 13

13x

13(12) = 156

Ace Carlos

The conditional "If there is no rain, then there is no rainbow" is equivalent to "Rain is a necessary condition for a rainbow."

The statement "Rain is a necessary condition for a rainbow" implies that if there is no rain, then there will be no rainbow. This is captured by the conditional "If there is no rain, then there is no rainbow." If the necessary condition of rain is not met, it follows that a rainbow cannot occur.

On the other hand, the remaining conditionals are not equivalent to the statement "Rain is a necessary condition for a rainbow."

The conditional "If there is no rainbow, then there is no rain" is the inverse of the original statement. It suggests that if there is no rainbow, it implies there is no rain. While it is true that rain is often associated with rainbows, the absence of a rainbow does not necessarily mean there is no rain. Therefore, the inverse is not equivalent.

The conditional "If there is a rainbow, then there is rain" is the converse of the original statement. It states that if there is a rainbow, it implies there is rain. While this is often the case, it does not capture the necessary condition aspect of the original statement. There can be other factors that contribute to the formation of a rainbow, such as water droplets in the atmosphere, without the presence of rain. Therefore, the converse is not equivalent.

The conditional "If there is rain, then there is a rainbow" is the contrapositive of the original statement. It suggests that if there is rain, it implies there is a rainbow. While rain is indeed a common condition for the formation of rainbows, it does not capture the necessary condition aspect of the original statement. There can be rain without the occurrence of a rainbow, such as in light drizzles or heavy downpours without sunlight. Therefore, the contrapositive is not equivalent.

In summary, the only conditional that is equivalent to "Rain is a necessary condition for a rainbow" is "If there is no rain, then there is no rainbow."

#Select which one(s) of the following conditionals are equivalent to Rain is a necessary condition for a rainbow. If there is no rainbow, then there is no rain If there is no rain, then there is no rainbow. If there is a rainbow, then there is rain If there is rain, then there is a rainbow.

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No, Anthony is not correct.

What is meant by addition?

In math, addition is the process of adding two or more integers together. The numbers being added are known as addends, while the outcome of the addition process, or the final response, is known as the sum.

Given that Total circles= 12.

The circles Anthony finished before going to lunch = 6 and 1/4th

The circles Jacob finished before going to lunch= 5 and 3/4th.

If we add these two 6+1/4+5+3/4=12

Which means that the 12 circles are colored.

This also means that Jacob has already colored the one that Anthony colored 3/4th.

So therefore Anthony's statement "if he had colored one-fourth of Jacob's last circle instead of one-fourth of his last circle, they would have twelve whole circles colored" is not true.

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The solid line if i am correct?

The probability of passing the exam, given that the lowest passing grade is 6 correct out of 8, is approximately 0.1445 or 14.45%.

To find the probability of passing the exam if the lowest passing grade is 6 correct out of 8, we need to calculate the probability of getting 6, 7, or 8 questions correct.

In an 8-question true-false exam, there are 2 possible outcomes (true or false) for each question. Therefore, the total number of possible outcomes for answering 8 questions is 2^8 = 256.

To determine the number of ways to get exactly 6, 7, or 8 questions correct, we can use combinations. The number of ways to choose k items from a set of n items is given by the combination formula:

C(n, k) = n! / (k! * (n-k)!)

For 6 questions correct:

C(8, 6) = 8! / (6! * (8-6)!) = 28

For 7 questions correct:

C(8, 7) = 8! / (7! * (8-7)!) = 8

For 8 questions correct:

C(8, 8) = 8! / (8! * (8-8)!) = 1

Therefore, there are 28 + 8 + 1 = 37 ways to pass the exam (getting 6, 7, or 8 questions correct).

The probability of passing the exam is the ratio of the number of favorable outcomes (passing) to the total number of possible outcomes:

P(passing) = number of favorable outcomes / total number of possible outcomes

P(passing) = 37 / 256 ≈ 0.1445

So, the probability of passing the exam, given that the lowest passing grade is 6 correct out of 8, is approximately 0.1445 or 14.45%.

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Answer:

Solve for f by simplifying both sides of the equation, then isolating the variable.

f(x)=−3x+4f(x)=-3x+4

Answer:

1. Equation: x/-9=-16

solution: x=144

2. Equation:15*x=-75

solution: x=-5

3.Equation:0.75n=36

solution: n=48

Step-by-step explanation:

The sum of the two complex numbers will give:

(-4 + i) + (10 - 5i) = 6 - 4i

So the correct option is the third one.

Let's assume we have two complex numbers which are:

A = a + bi

B = c + di

The sum between these two complex numbers is:

A + B = (a + bi) + (c + di)

Taking i as a common factor we can rewrite:

(a + bi) + (c + di) = a + c + (b + d)i

And that is the general sum.

Here we want to solve:

(-4 + i) + (10 - 5i)

Again, if we take i as a common factor we can rewrite:

-4 + 10 + (1 - 5)*i

6 - 4i

So the correct option is the third one.

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Answer:

It would be about 3 minutes because if you take 10 and divide it by 3 it gives you 3.333333 and if you round that it would still be 3 or if you do it the other way around you would get .3 witch wouldnt be right so that should be your answer

Step-by-step explanation:

Answer:C

Step-by-step explanation:

I HAVE GOT YOU!!!

Answer:

Answer is C

Step-by-step explanation:

For the velocity function v(t) = t³ - 3t² + 12t + 4, with interval 0 ≤ t ≤ 3, the maximum acceleration is option D: 21 m/s².

What is velocity?

The pace at which an object's position changes in relation to a frame of reference and time is what is meant by velocity. Although it may appear sophisticated, velocity is just the act of moving quickly in one direction. Since it is a vector quantity, the definition of velocity requires both magnitude (speed) and direction.

The velocity function is v(t) = t³ - 3t² + 12t + 4.

The interval is given as - [0,3]

Maximize the function to obtain the value of t.

v'(t) = a(t) = 3t² - 6t + 12

Maximize it again -

a'(t) = 6t - 6 = 0

6t = 0 + 6

t = 6/6

t = 1

Now there are three critical points for t = {0,1,3}

1 and 3 are endpoints of the interval [0,3].

To get the maximum acceleration, plug in the values of t in the equation .

First substitute the value t = 0 -

a(0) = 3t² - 6t + 12

a(0) = 3(0)² - 6(0) + 12

a(0) = 12

Now substitute the value t = 1 -

a(1) = 3t² - 6t + 12

a(1) = 3(1)² - 6(1) + 12

a(1) = 3 - 6 + 12

a(1) = 15 - 6

a(1) = 9

Now substitute the value t = 3 -

a(3) = 3t² - 6t + 12

a(3) = 3(3)² - 6(3) + 12

a(3) = 27 - 18 + 12

a(3) = 39 - 18

a(3) = 21

So, the maximum acceleration is 21 m/s² when t =3.

Therefore, the maximum acceleration is 21 m/s².

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Answer:

C)  2

Step-by-step explanation:

step 1:  Find mean of data set

2+4+4+5+7+8 = 30

30/6 = 5

Mean = 5

step 2: subtract each data value from the mean and square it

5-2 = 3;   3² = 9

5-4 = 1;   1² = 1

5-4 = 1;   1² = 1

5-5 = 0;   0² = 0

5-7 = -2;   (-2²) = 4

5-8 = -3;   (-3²) = 9

Add the squared results:

9+1+1+0+4+9 = 24

Divide 24 by 6 to get the Variance of 4

Take the square root of the Variance to get the Standard Deviation

\(\sqrt{4}\) = 2

Answer:

the answer of the question is 9.5

Answer:

Step-by-step explanation:

Answer:

$3960

Step-by-step explanation:

12% of $4,500 is 540.

Subtracting the 12% means taking away $540 from $4,500, which gives you $3960

The company caught 86,268 fish over the first 14 years, to the nearest whole number.

A company is a type of business that is formed by individuals, typically through a registration process with a governing body such as a state or country. The purpose of a company is to provide services or products to its customers in exchange for a profit. Companies are responsible for meeting all applicable legal and regulatory requirements and are structured in a way that allows them to maximize profits and minimize costs.

The company caught 130,000 fish in the first year, and 3% fewer fish each year after that. To find the total number of fish caught over 14 years, we need to use an exponential decay equation:

y = 130,000 * 0.97ˣ
where x is the number of years and y is the total number of fish caught.
y = 130,000 * 0.97¹⁴
y = 130,000 * 0.6636
y = 86,268
Therefore, the company caught 86,268 fish over the first 14 years, to the nearest whole number.

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Answer:

x= 75*2

x= 3/4*200

(The options arent very clear)

Step-by-step explanation:

The equation is

x= 75/100 *200

= 75*2

or 3/4 * 200

Answer:

The answer is B.

Step-by-step explanation:

The probability that the first person to enter the room will be randomly seated at a walnut table is approximately 0.129, or 12.9%.

To calculate the probability that the first person to enter the room will be randomly seated at a walnut table, we need to determine the total number of tables and the number of walnut tables specifically.

The total number of tables in the room is the sum of the walnut, poplar, cedar, and cherry tables:

Total number of tables = 4 walnut tables + 9 poplar tables + 7 cedar tables + 11 cherry tables = 31 tables.

The probability of being seated at a walnut table can be calculated by dividing the number of walnut tables by the total number of tables:

Probability = Number of walnut tables / Total number of tables = 4 walnut tables / 31 tables ≈ 0.129.

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The exact sum of the infinite geometric series [infinity] 1 5 k k = 2 is 2 and the exact sum of the infinite geometric series does not exist, and the answer is "diverges."

To find the sum of an infinite geometric series, we use the formula:
Sum = a / (1 - r)
where a is the first term and r is the common ratio.
In this case, a = 1 and r = 5/2 (since each term is 5/2 times the previous term).
Thus, the sum of the infinite geometric series is:
Sum = 1 / (1 - 5/2) = 1 / (1/2) = 2
Therefore, the exact sum of the infinite geometric series [infinity] 1 5 k k = 2 is 2.
To find the exact sum of an infinite geometric series, we need to determine if it converges or diverges. In this case, the series is given by:
Σ (5^k), where k starts at 2 and goes to infinity.
To determine if the series converges or diverges, we must find the common ratio. The common ratio (r) in this series is 5. For an infinite geometric series to converge, the absolute value of the common ratio must be less than 1 (i.e., |r| < 1).
Since the absolute value of the common ratio in this series is greater than 1 (|5| > 1), the series diverges. Therefore, the exact sum of the infinite geometric series does not exist, and the answer is "diverges."

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The answer is 7p + 9t

Because they are both unlike terms

Answer:

7p + 9t

Step-by-step explanation:

We cannot further simplify 7p + 9t because they don't have any like terms to combine with, nor are they even like terms.

Step-by-step explanation:

7x6=42. 7+35=42. The numbers are 7 and 42.

Problem: a team of workers took 74.7 hours to complete the project. A smaller team of workers will complete the same task, but it will take them 1.15 times as long as it took the first team.

Solution: The small group takes the following amount of time to do the same task as the other group (first group):

So for A, B, and D, they are all false. but C is true.