For small samples, t intervals are z intervals based on the same data set. narrower than the same as O wider than

Answer:

Perimeter of figure = 68 centimeter

Step-by-step explanation:

Given information:

Width of side = 12 centimeter

Length of side =  22 centimeter

Find:

Perimeter of figure

Computation:

Perimeter of rectangle = 2[l + b]

Perimeter of figure = 2[Width of side + Length of side ]

Perimeter of figure = 2[12 + 22]

Perimeter of figure = 2[34]

Perimeter of figure = 68 centimeter

I think using properties can help you mentally find answers to problems because if you know what property you are going to use, then you can know what you are doing, thus it's helping you mentally find answers.

Answer:

74.90x + 22.75 ≤ 210

x ≤ 2.5

Step-by-step explanation:

First, we know he plans to drive 175 miles. To figure out the cost of this, you can do 175*0.13 to get $22.75.

Subtract 22.75 from both sides

74.90x ≤ 187.25

Now divide both sides by 74.90

x ≤ 2.5

The option B, "The adult male foot length of 23.8 cm is significantly low because it is less than 24.26 cm" is correct.

In the given question, a group of adult males has foot lengths with a mean of 26.84 cm and a standard deviation of 1.29 cm.

We have to find the adult male foot length of 23.8 cm significantly low or significantly​ high.

According to thumb rule, a value is significantly low if it is 2 standard deviations below mean and significantly high if it is 2 standard deviations above mean

Mean = 26.84 cm

Standard deviation = 1.29 cm

Significantly low value = 26.84 - 2*1.29 = 24.26 cm

Significantly high value = 26.84 + 2*1.29 = 29.42 cm

Significantly low values are 24.26 cm or lower.

Significantly high values are 29.42 cm or higher.

The adult male foot length of 23.8 is lower than the significant low value of 24.26.

So the option B, "The adult male foot length of 23.8 cm is significantly low because it is less than 24.26 cm" is correct.

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Step-by-step explanation:

First Line

- Given Equation

Second Line

- Subtraction Property of equality (7 was subtracted from both sides of the equation)

Third Line

- Distributive property (The parenthesis was expanded)

Fourth Line

- Subtraction Property of equality (2x was subtracted from both sides of the equation)

Fifth Line

- Addition Property of equality (1 was subtracted from both sides of the equation)

Sixth Line

- Division property of equality (5 was divided from both sides of the equation)

This exercise must complete the blanks with the correct answers:

1)" Given Equation"

2) "Transitive Property of equality"

3)"Distributive property"

4) "Addition Property of equality"

5) "Subtraction Property of equality"  

6)"Division property of equality"

In this exercise we have to identify the step by step of the given equation:

1) The first thing we see is the equation, so we'll have that it's the "Given Equation"

2) The second step is when the number 7 goes to the right adding to 4 resulting in 11, so it corresponds to "Transitive Property of equality"

3) In the third step, the distribution of the negative value on the left side of the equation was made, then "Distributive property"

4) In the fourth step we move the 2X to the left and add it to the value of 3X, then "Addition Property of equality"

5) The fifth step occurs when we subtract 1 from the right side, so "Subtraction Property of equality"  

6) The sixth step occurs when we perform the division of the equation resulting in the value of X, so 'Division property of equality"

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Answer:

3/4=21/28

Step-by-step explanation:

21/28÷7/7=3/4

Answer 3/4 and 21/28

Each angle on a square road sign measures 90 degrees.

A square is a quadrilateral with four equal sides and four right angles. In a square, all angles are congruent, meaning they have the same measure. Since a square has four angles, each angle is equal to the total sum of the interior angles of a square divided by four.
The total sum of the interior angles of a square can be calculated using the formula (n - 2) * 180 degrees, where n is the number of sides. For a square, n = 4, so the total sum of the interior angles is (4 - 2) * 180 = 2 * 180 = 360 degrees.
To find the measure of each angle, we divide the total sum of the interior angles by the number of angles, which is 4 in the case of a square:
360 degrees / 4 angles = 90 degrees.
Therefore, each angle on a square road sign measures 90 degrees.

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Answer:

The key fact about the enlargement, scale factor > 1

The key fact about the reduction, 0 < scale factor < 1

Step-by-step explanation:

Let us explain what is the dilation?

Enlargement means the image of a figure after dilation is larger than the original figure

Reduction means the image of a figure after dilation is smaller than the original figure

The key fact about the enlargement is that the scale factor of dilation must be greater than 1 ⇒ scale factor > 1

The key fact about the reduction is that the scale factor of dilation must be between 0 and 1 ⇒ 0 < scale factor < 1

Answer:

An enlargement has a scale factor greater than 1 and the image has a longer distance from the point of dilation than the pre-image. A reduction has a scale factor between 0 and 1, and shrinks on the coordinate plane.

Step-by-step explanation:

This is the sample respond on Edg. I just took the assignment and it was right.

Answer:

I do believe y= -2

Rise over run method

Use long division to the quotient is \(5 x^5+90 x^2-134 x+3\)

What is quotient?

A quotient in mathematics is the amount created by dividing two numbers. In mathematics, the term "quotient" is frequently used to refer to the integer portion of a division, as well as to a fraction or a ratio.A fraction's quotient is the whole number that results from simplifying the fraction. The quotient is the fraction's decimal form if the simplified fraction yields a non-whole number.

\(\begin{aligned}& \text { Simplify }\left(5 x^5+90 x^2-135 x\right)+(x+3): \quad 5 x^5+90 x^2-134 x+3 \\& \text { Steps } \\& \left(5 x^5+90 x^2-135 x\right)+(x+3)\end{aligned}\)

\(Simplify $\left(5 x^5+90 x^2-135 x\right)+(x+3): \quad 5 x^5+90 x^2-135 x+x+3$\)

\(=5 x^5+90 x^2-135 x+x+3\)

\(Add similar elements: $-135 x+x=-134 x$\)

\(=5 x^5+90 x^2-134 x+3\)

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The solution of the given initial value problem is:y(t) = (2/21)(sin t - 1/2)\(e^(-t/2)\)Check:

Given: y'' + y' + 5/4y = g(t); y(0) = 0, y'(0) = 0; g(t) = { sin t, 0 < t < π0, t > πTo find:

The solution of the given initial value problem.

Solution:We can find the solution of the given initial value problem in the following ways.

Determine the homogeneous solution: y'' + y' + 5/4y = 0Characteristic equation is m² + m + 5/4 = 0(m + 1/2)² + 1/16 = 0(m + 1/2)² = -1/16m + 1/2 = ± (i/4)

So the solution of the homogeneous differential equation:

y_h(t) = c₁ cos(t/2) + c₂ sin(t/2)where c₁ and c₂ are constants.Particular integral, y_p(t):g(t) = { sin t, 0 < t < π0, t > πHence, the solution of the given differential equation:

y(t) = y_h(t) + y_p(t)y(t) = c₁ cos(t/2) + c₂ sin(t/2) + (2/21)(sin t - 1/2)\(e^(-t/2)\)So, the solution of the given initial value problem is:y(t) = (2/21)(sin t - 1/2)\(e^(-t/2)\)Check:

Let's check if the given function satisfies the initial conditions.y(0) = (2/21)(sin 0 - 1/2)\(e^(0/2)\)= -1/21y'(0) = [(2/21)cos0 + (1/2) (2/21) (-1/2) ]\(e^(0/2)\)= 0

The given initial conditions are satisfied.

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The amount of they share altogether is 90000

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.

For example if two boys are to share 10 mangoes with ratio 1:4. The first boy will get 1/5 × 10 = 2 mangoes and the other boy will get 4/5 × 10 = 4×2 = 8 mangoes.

Three brothers are to share in ratio 3:4:5. The highest ratio is 5. And the the highest ratio gets 37500. The total ratio is 12 i.e 3+4+5 = 12

Represent the total money by x

Then, 5/12 × x = 37500

5x = 37500 × 12

5x = 450000

divide both sides by 5

x = 450000/5

x = 90000

therefore the amount they shared is 90000.

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Using the Well-Ordering Principle (WOP), it can be proven that in every tournament with n players (where n is a natural number), there is at least one top player, defined as someone who either beats every other player or beats someone who beats the other player.

We will prove this statement by contradiction. Assume that there exists a tournament with n players where there is no top player. This means that for each player, there exists either another player who beats them or a chain of players such that each player beats the next one. Now, consider the set S of all players in this tournament. Since S is a non-empty set of natural numbers, it has a least element, let's say k.

Now, player k either beats every other player in the tournament, making them a top player, or there exists a player, let's say player m, who beats player k. In the latter case, we have a chain of players: k, m, p_1, p_2, ..., p_t, where p_1 beats p_2, p_2 beats p_3, and so on until p_t.

However, this contradicts the assumption that there is no top player, as either player k beats every other player (if m does not exist), or player m beats someone who beats the other player (if m exists). Hence, by contradiction, we have shown that in every tournament with n players, there is at least one top player.

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Answer:

likes

=0.420+0.034(views) (B) on khan academy

Step-by-step explanation:

Answer:

Prime factorization: 84 = 2 x 2 x 3 x 7 which can also be written 2² x 3 x 7.

Step-by-step explanation:

Hope this helps

The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).

option C.

The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is determined as follows;

The four points include;

A = (1, 2)

B = (2, - 3)

C = (-2, - 2)

D = (-3,  1)

The  ordered pair that can be plotted together with these four points, must fall withing these coordinates. Going by this condition we can see that the only option that meet this criteria is;

(2, - 1)

Thus, the ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).

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Using proportions, we have that:

a) The equation is 280 = 30x + 64(2.3), in which cis the value of a 1983 card.

b) The value of each card from 1983 is of $4.43.

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three, that can be either direct(cross multiplication) or inverse(line multiplication), deriving from proportional relationships. One example of application of proportions is for problems involving one or multiple unit rates, as the rates are added to find the total amount.

For this problem, we have that:

The total value of his collection is of $280 hence the equation is:

280 = 30x + 64(2.3), in which cis the value of a 1983 card.

We solve the equation for x to find the value of a 1983 card, hence:

30x = 280 - 64(2.3)

x = (280 - 64(2.3))/30

x = $4.43.

The value of each card from 1983 is of $4.43.

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Answer:

the answer is ..............

Step-by-step explanation:

Height of oil changes at the rate of \(\frac{200}{49\pi}\) inch\sec

What is rate of change?

Suppose there is a function and there are two quantities. If one quantity of a function changes, the rate at which other quantity of the function changes is called rate of change of a function.

Here rate of change of height has been calculated

Let the radius be r inch and height of the cylinder be 10 inch

It is given

h = 10r

Volume of cylinder (V) = \(\pi r^2 h\)

                                     = \(\pi (\frac{1}{10}h)^2h\\\frac{1}{100}\pi h^3\)

\(\frac{dV}{dt} = \frac{d}{dt}\frac{1}{100}\pi h^3\\\)

    \(= \frac{3}{100}\pi h^2\frac{dh}{dt}\)

\(150 = \frac{3}{100}\times \pi \times35^2 \times \frac{dh}{dt}\\\frac{dV}{dt} = \frac{147}{4}\pi \frac{dh}{dt}\\150 = \frac{147}{4}\pi \frac{dh}{dt}\\\frac{dh}{dt} = \frac{600}{147\pi}\\\frac{dh}{dt} = \frac{200}{49\pi}\)

Height of oil changes at the rate of \(\frac{200}{49\pi}\) inch\sec

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Answer:

f(3) = - 60

Step-by-step explanation:

To evaluate f(3) substitute x = 3 into f(x), that is

f(3) = 5(3)² - 7(4(3) + 3)

     = 5(9) - 7(12 + 3)

     = 45 - 7(15)

     = 45 - 105

     = - 60

Given:

Initial value = $800 per acre

Growth rate = 3% per year

To find:

How long will it be before the land is worth $1000 per acre.

Solution:

The exponential growth model is:

\(y=a(1+r)^t\)

Where, y is the new value, a is the initial value, r is the growth rate in decimal and t is the number of years.

Putting \(y=1000, a=800, r=0.03\), we get

\(1000=800(1+0.03)^t\)

\(\dfrac{1000}{800}=(1.03)^t\)

\(1.25=(1.03)^t\)

Taking log both sides, we get

\(\log 1.25=\log (1.03)^t\)

\(0.09691=t\log (1.03)\)

\(0.09691=0.012837t\)

Isolating the variable t, we get

\(\dfrac{0.09691}{0.012837}=t\)

\(7.54927=t\)

\(t\approx 7.55\)

Therefore, the land is worth $1000 per acre after 7.55 years.

Answer:

1,400,000,000

Step-by-step explanation:

We can express the value \(1.4\times 10^9\) in standard form by moving the decimal point of the coefficient (1.4) to the right 9 times because 9 is the exponent of the 10 term:

1,400,000,000.

Answer:

x = ± 3\(\sqrt{5}\)

Step-by-step explanation:

x² = 45 ( take the square root of both sides )

x = ± \(\sqrt{45}\) = ± \(\sqrt{9(5)}\) = ± 3\(\sqrt{5}\)

Answer:

1080 total inches of ribbon. 60 pieces of ribbon can be cut.

Step-by-step explanation:

Firstly, the dressmaker has 15 rolls of ribbon that are 6 feet in length. Multiply those to see how many feet in total, 90. Then multiply this by 12 (there are 12 inches in a foot) to get the amount of total inches: 1080.

This is the answer to the question below the problem.

To answer the bigger question at hand:

You would need to take 1080 divided by 18 to find how many pieces the dressmaker can cut. She can cut exactly 60 pieces from her 15 rolls of ribbon.

Answer:

thx for the points and happy thanksgiving

Step-by-step explanation:

have a great night/morning

i love food,do u?