Type your answer in the box. If the population standard deviation of AAA batteries (with a population mean of 9 hours) is 0.5 hours, the margin of error for a 95% confidence interval for (n = 25 batteries) would be (carry to three decimals): Read about this Do you know the answer? I know it Think so Unsure No idea

In a simple linear regression model , if we change the input variable by 1 unit , output variable will change by its slope.

What is linear regression?

According on the value of another variable, a variable's value can be predicted using a linear regression analysis. The dependent variable is the one you're trying to forecast. The term "independent variable" refers to the variable you are using to forecast the value of the other variable.

Main Body:

For linear regression

Y=a + bx + error

If we neglect error

then Y=a + bx.

If x increases by 1

then Y = a +b(x+1) which implies

Y=a + bx + b.

So Y increases by its slope.

Hence their is an increase in the slope in y.

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Answer:

x>3/8

Step-by-step explanation:

The interest practice described in the question is known as "bundling." Bundling refers to the act of combining individual campaign contributions from multiple sources into a single larger contribution from a group or organization.

Bundling allows interest groups or individuals to pool their resources and present a more substantial contribution to a candidate. By consolidating smaller contributions into a larger sum, bundlers can demonstrate greater financial support and influence.

This practice is often employed by special interest groups, lobbyists, or individuals with shared political objectives who want to maximize their influence on the political process. Bundlers can leverage their collective financial power to gain access to candidates, shape policy agendas, and potentially gain favorable treatment or influence over decision-making.

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Answer:

work is shown and pictured

The pigeonhole principle states that if there are more pigeons than pigeonholes, then at least one pigeonhole must contain more than one pigeon. We can apply this principle to prove the following statements:

(a) Given any seven integers, there will be two that have a difference divisible by 6.

We can divide the integers into six pigeonholes based on their remainders when divided by 6: {0}, {1}, {2}, {3}, {4}, and {5}. Since there are seven integers, by the pigeonhole principle, at least two integers must belong to the same pigeonhole. If two integers belong to the same pigeonhole, then their difference will be divisible by 6.

(b) Given any five integers, there will be two that have a sum or difference divisible by 7.

We can divide the integers into six pigeonholes based on their remainders when divided by 7: {0}, {1}, {2}, {3}, {4}, {5}, and {6}. Since there are five integers, by the pigeonhole principle, at least two integers must belong to the same pigeonhole. If two integers belong to the same pigeonhole, then their sum or difference will be divisible by 7.

Note that if the two integers have the same remainder when divided by 7, then their difference will be divisible by 7. If they have different remainders, then their sum will be divisible by 7.

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Answer

Step-by-step explanation:

The correct choice is within your skills and abilities.

Once you get to determine things you are capable of and things you are not capable of, you will be able to concentrate on your strengths more. This will in turn produce big results as compared to if you opted to concentrate on your weaknesses.

It will also result in no or less time wasted in doing what you are less capable of.

Its almost close to impossible to be able to do everything. Each person is gifted in a certain area or skill or capability. We are all different and that's okay.

Its so important to concentrate in the areas you are more comfortable with. This will help you much with improving your skills and abilities.

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Answer:

Step-by-step explanation:

a you just had to say a

Answer:

Step-by-step explanation:

d = 50 - 39 = 11

Therefore:

the 5th:   72 + 11 = 83

the 6th:   83 + 11 = 94

the 7th:   94 + 11 = 105

The proportion used to find the value of a is a/18 = 16/a

Proportion is a mathematical comparison between two numbers. According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.

Given are three similar triangles, (refer to attached figure to separately see the similar triangles)

We know that, similar triangle have corresponding sides in equal ratio,

Therefore,

a/18 = 16/a

Hence, the proportion used to find the value of a is a/18 = 16/a

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Answer:

1.5

Step-by-step explanation:

2+3.3x-1.7=5.25

=> 3.3x = 5.25 +1.7 -2

=> 3.3x = 6.95 - 2

=> 3.3x = 4.95

\( = > x = \frac{4.95}{3.3} \)

\( = > x = \frac{49.5}{33} \)

=> x = 1.5 (Ans)

Answer:

268.08

Step-by-step explanation:

\(\frac{4}3 \pi r^{3}\)

4/3 * π * 4^3 ≈ 268.08

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Answer:

468 in ^2; a

Step-by-step explanation:

Add each side of the prism;

Base: 15*10 = 150

Rectangular sides: 10*12+9*10 = 210

Triangular sides (x2): ((9*12)/2)*2 = 108

108+210+150 = 468 in ^2

Answer:

y=1/2x+2

Step-by-step explanation:

Answer:

\( \tt \: x.( - 1).( - x).(1)\)

\( \longrightarrow \tt ( - x). (- x)\)

\( \longrightarrow \boxed{\tt{x}^{2} }\)

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Answer:

She paid $8,25 per pound

Step-by-step explanation:

Given

\(Weight = 1.6\ lb\)

\(Total= \$13.20\)

Required

Determine the amount paid per pound

To do this, we simply divide the amount by the weight of Almonds.

\(Amount = \frac{Total}{Weight}\)

\(Amount = \frac{\$13.20}{1.6\ lb}\)

\(Amount = {\$8.25/\ lb\)

Hence, she paid $8,25 per pound

Step-by-step explanation:

you must have left out important pieces of the equation.

what I can see and therefore solve is

-G + 2 = -12

-G = -14

G = 14

Using the arithmetic operation of division -

a) 3 people can be fed by 1 pizza.

b) Maria would need 11 pizzas for 33 people.

What is arithmetic operation?

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

The number of pizzas ordered = 8

The number of people are = 24.

Number of people that can be fed if 1 pizza was there =

Number of people = Number of people that came/ Number of pizza

Use the arithmetic operation of division -

Number of people = 24/8

Number of people = 3

Therefore, 3 people can be fed.

Now, the number of people = 33

Number of pizzas required for 33 people can be obtained as -

Use the arithmetic operation of division -

Number of pizzas = Number of people/ Number of people fed by 1 pizza

Number of pizzas = 33/3

Number of pizzas = 11

Therefore, Maria will require 11 pizzas.

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A school's fifth graders prepare a paper about a historical figure for a contest. The total number of students who participated in the contest is 153.

Given that,

A school's fifth graders prepare a paper about a historical figure for a contest.

The contest is being competed in by $5 classes of $25 students and $1 classes of $28 students.

We have to calculate the number of students who enter the contest.

We get

=5×25+1×28

Multiply the terms

=125+28

Adding the terms

=153

Therefore, the total number of students who participated in the contest is 153.

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Answer:

3.349

Step-by-step explanation:

Answer:

The answer would be 48 cm^2

Step-by-step explanation:

You have to do 9x4 and then add 6x2 to that.
9x4 is 36 and 6x2 is 12.
36+12 is 48. Hope this helps! :)

Answer:

The answer would be 48 cm^2

Answer:

the anwser is a i think im helping you out dont repoty

The fundamental theorem of arithmetic states that every natural number greater than 1 can be written as a product of primes. Using strong induction, we can prove this.

Let's proceed with the strong induction proof. We start by considering the base case, where m = 2. Since 2 is prime, it can be written as a product of primes itself.

Next, we assume that for all natural numbers k such that 2 ≤ k ≤ m, the statement holds true, i.e., k can be expressed as a product of primes. Now, we aim to prove that m+1 can also be expressed as a product of primes.

We know that m+1 is either prime itself or composite. If m+1 is prime, then it can be written as a product of a single prime, satisfying the theorem.

On the other hand, if m+1 is composite, it can be written as a product of two positive integers a and b, where 2 ≤ a ≤ b ≤ m. Since a and b are both less than or equal to m, we can apply the inductive hypothesis to express a and b as products of primes. Therefore, we can write m+1 as a product of primes by combining the prime factorizations of a and b.

By strong induction, we have shown that for any natural number m greater than 1, it can be expressed as a product of primes. This completes the proof of the fundamental theorem of arithmetic.

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Answer:

16 birds

8 mammals if you need to know.

Step-by-step explanation:

We can set this system of equations up by plugging the 2m from the second equation into where it says r in the first equation. The reason why we do this is because

The 2m is equal to r, so we can replace the r in the first equation with 2m, since they are equal.

Divide both

We can confirm this because

uh

(I like the enter key lol.)

It's the return key on some keyboards in other countries.

Oh yeah.

We can confirm the values.

If there are 16 birds, there is probably going to be a total of 32 legs.

With 8 mammals, it is something like 8 x 4, which is 32

32 + 32 = 64, which is the total.

Answer:2+n/7

Step-by-step explanation:

Simplify the expression

Answer:

7.35 pints

Step-by-step explanation:

If we use 1/4 of the 9.8 pints for blue, then the remaining white paint takes up 3/4 of the 9.8 pints of paint. To find how many pints of paint is equal to 3/4 of it, you must multiply that fraction by the amount (9.8).

\(\frac{3}{4}\) * 9.8 (or 0.75 * 9.8) = 7.35

Therefore, 7.35 pints of the total paint used is white.

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The minimum length = 192ft, that Natalie must throw the javelin on her next throw in order to qualify for the final round.

Based on the given conditions,

The length of her javelin throws in the first round must be at least 195 feet.

She has 1 more throw left in the first round.

This list shows the length, in feet, of Natalie's first 7 javelin throws.

= 188, 204, 194, 195, 187, 201, 199

The minimum length is,

= 188 + 204 + 194 + 195 + 187 + 201 + 199

= 1368

Let us assume,

Final length = x

So,

We can write,

( x + 1368 ) / 8 ≥ 195

x + 1368 ≥ 195 * 8

We can multiply the coefficient,

x + 1368 ≥ 1560

x ≥ 1560 - 1368

We can sum or difference the coefficient,

x ≥ 192

This is Inequality function.

Equations and inequalities are mathematical sentences formed by relating two expressions to each other. In an equation, the two expressions are supposed to be equal and shown by the symbol =. Whereas in inequality, the two expressions are not necessarily equal and are indicated by the symbols: >, <, ≤ or ≥.

Therefore,

The minimum length = 192ft, that Natalie must throw the javelin on her next throw in order to qualify for the final round.

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a) The probability histogram of pmf for the number of students who show up for a professor's office hour on a particular day is shown below.

b) The probability that at least two students show up = 0.55 and the probability that more than two students show up = 0.25

c) The probability that between one and three students show up = 0.7

d) The probability that the professor shows up = 0.20

First we write the number of students who show up for a professor's office hour on a particular day and their pmf in tabular form.

x        p(x)

0       0.20

1       0.25

2       0.30

3       0.15

4       0.10

The probability histogram of this data is shown below.

The probability that at least two students show up would be,

P(x ≥ 2) = p(2) + p(3) + p(4)

P(x ≥ 2) = 0.30 + 0.15 + 0.10

P(x ≥ 2) = 0.55

Now the probbability that more than two students show up:

P(x > 2) = p(3) + p(4)

P(x > 2) = 0.15 + 0.10

P(x > 2) = 0.25

The probability that between one and three students show up would be:

P(1 ≤ x ≤ 3) = p(1) + p(2) + p(3)

P(1 ≤ x ≤ 3) = 0.25 + 0.30 + 0.15

P(1 ≤ x ≤ 3) = 0.7

And the probability that the professor shows up would be: p = 0.20

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