rather than a t test whenever the null hypothesis makes a claim about

Answer:

oxygen

Step-by-step explanation:

we breath it every day

Answer:

Train A weights 475 tons and Train B weights 26 pounds

Step-by-step explanation:

475 - 449 = 26

26 is the weight of Train B

475 is the weight of Train A

This is true because

475 + 26 = 501

Answer:

Step-by-step explanation:

y=4/3x-12

The first ten terms of the sequence a_n = 2/n are: 2, 1, 0.66, 0.5, 0.4, 0.33, 0.28, 0.25, 0.22, 0.2. The 9th term of the sequence is 0.22 and the 10th term is 0.2.

Using a graphing calculator to find the first ten terms of the sequence a_n = 2/n

To find the first ten terms of the sequence a_n = 2/n, follow the steps given below:

Step 1: Press the ON button on the graphing calculator.

Step 2: Press the STAT button on the graphing calculator.

Step 3: Press the ENTER button twice to activate the L1 list.

Step 4: Press the MODE button on the graphing calculator.

Step 5: Arrow down to the SEQ section and press ENTER.

Step 6: Enter 2/n in the formula space.

Step 7: Arrow down to the SEQ Mode and press ENTER.

Step 8: Set the INCREMENT to 1 and press ENTER.

Step 9: Go to the 10th term, and the 9th term on the list and write them down.

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Yes, it is possible for a plot of a partial expansion of f[x] to share ink with the plot of f[x] all the way from -[infinity] to + [infinity].

Explanation:

We can approximate f(x) as a Fourier series, as follows:

\($$f(x) = \sum_{n=0}^{\infty}a_n\cos\left(\frac{n\pi x}{L}\right)+\sum_{n=1}^{\infty}b_n\sin\left(\frac{n\pi x}{L}\right)$$\)

If f(x) is an odd function, the cosine terms are gone, and if f(x) is an even function, the sine terms are gone.

We can create an approximation for f(x) using only the first n terms of the Fourier series, as follows:

\($$f_n(x) = a_0 + \sum_{n=1}^{n}\left[a_n\cos\left(\frac{n\pi x}{L}\right)+b_n\sin\left(\frac{n\pi x}{L}\right)\right]$$\)

For any continuous function f(x), the Fourier series converges uniformly to f(x) on any finite interval, as given by the Weierstrass approximation theorem.

However, if f(x) is discontinuous, the Fourier series approximation does not converge uniformly.

Instead, it converges in the mean sense or the L2 sense. The L2 norm is defined as follows:

\($$\|f\|^2 = \int_{-L}^{L} |f(x)|^2 dx$$\)

Hence, it is possible for a plot of a partial expansion of f(x) to share ink with the plot of f(x) all the way from -[infinity] to + [infinity].

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The graph of g(x) is the graph of f(x) stretched vertically and reflected over the axis.

The correct option is C.

We can compare the graphs of two functions f(x)=x² and g(x)=-2/3 x² by determining their vertices, domain, range, axis of symmetry, and shape of the graphs. The vertex of f(x)=x² is at the origin (0,0), which means that the parabola opens upward and is symmetrical around the y-axis.

The domain is all real numbers, and the range is y≥0. The axis of symmetry is the y-axis. On the other hand, the vertex of g(x)=-2/3 x² is also at the origin, and it opens downward. It is also symmetrical around the y-axis. The domain is all real numbers, and the range is y≤0.

The axis of symmetry is the y-axis, just like f(x).It is important to remember that g(x) is the negative of f(x), which indicates that g(x) is reflected across the x-axis. Furthermore, the stretch factor is 2/3, which makes the graph of g(x) flatter than the graph of f(x) and it is  stretched vertically and reflects over x axis(option c).

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w=7.5

Step-by-step explanation:

area of triangle is 6x5=30/2= 15 and then you divide 15 which 7.5

When x equals -13, the predicted value of y is 780.

a. The slope coefficient in the simple linear regression is -29. The correct interpretation of the slope coefficient is A) As x increases by 1 unit, y is predicted to decrease by 29 units.

b. To predict y when x = -13, we can substitute x = -13 into the sample regression equation:

y-hat = 403 - 29x

y-hat = 403 - 29(-13)

y-hat = 403 + 377

y-hat = 780

Therefore, when x equals -13, the predicted value of y is 780.

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Answer:

gggggggggggggggggggghhhhhhjhhjbbbgvgv vf vfc

Answer:

Step-by-step explanation:

8.4 x 2 = 16.8

The amount of the salmon left after Mr Jones used some part is

Total amount of salmon  bought is 6 and 2/7 lb = 6 2/7 lb

The amount used is 1/5 of the amount Mr Jones bought

= 1/5 * 6 2/7

= 44 / 35

= 1 9/35

= 1.257

The amount left is calculated by subtraction

= 6 2/7 - 1 9/35

= 176 / 35

= 5 1/35

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Answer: 1.25

Step-by-step explanation: Divide 1,200 in 7 days and the aswer is 1.25

The graph of the function f(x) = -x +4, 0≤x <3 is shown in the first option, which is labeled as 6. This graph shows the line y = -x + 4 for x-values between 0 and 3, and the rest of the graph is undefined. Therefore, the correct answer is 6.

In this case, the function f(x) has two different formulas: one for x-values between 0 and 3 (inclusive of 0, but not inclusive of 3), and another for x-values greater than or equal to 3. The first formula is -x + 4, and the second formula is undefined.

To graph this function, we need to plot the line y = -x + 4 for x-values between 0 and 3 (inclusive of 0, but not inclusive of 3), and leave the rest of the graph undefined.

We can see that the line y = -x + 4 passes through the point (0, 4) and has a slope of -1. Therefore, we can plot the point (0, 4) and use the slope to find other points on the line. For example, when x = 1, y = -1 + 4 = 3, so we can plot the point (1, 3). Similarly, when x = 2, y = -2 + 4 = 2, so we can plot the point (2, 2).

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complete question:

Linear Piecewise Defined Functions

Assignment Active

Graphing a Piecewise-Defined Function

Which graph represents the piecewise-defined function f(x) = -x +4, 0≤x <3 ?

6,

x 23

Answer:

30

Step-by-step explanation:

use Pythagoras theorem at first to find the third side of the triangle it will come 5

then use the formula to find the area of triangle

A=(5x12)/2=30cm2

The correct description of the graph of the inequality is:

"number line with open circle on point negative 2.2 and arrow shaded to the left"

Here we have the inequality:

p - 3.6 < -5.8

First, we need to solve this, to do so we need to isolate the variable p in one of the sides of the inequality, we will get:

p < - 5.8 + 3.6

p < -2.2

So p is strictly smaller than -2.2, then we will have an open circle at the number -2.2 and a line or arrow that extends to the left.

So the correct option is:

"number line with open circle on point negative 2.2 and arrow shaded to the left"

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Answer:

A. is the answer.

Step-by-step explanation:

Answer:

Where is the statement

26 square feet is the exact surface area of the composed figure with two cones.

The composed figure has two cones.

The formula to find the surface area of cone is A=πr(r+√h²+r²))

Where r is radius and h is height of the cone.

Both the cones have radius of 1 ft and height of 2ft and 4 ft.

Area of cone 1=3.14×1(1+√4+1)

=3.14(1+√5)

=10.16 square fee

Area of cone 2=3.14×1(1+√16+1)

=3.14(1+√17)

=16.01square feet.

Total surface area = 10.16+16.01

=26.17 square feet.

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The revenue was decreasing at a rate of $34.4 million per year at the start of 2010.

To find the daily oil revenue at the start of 2010, we need to find q(10) since t represents years since the start of 2000.

q(10) = 0.0112 - 0.4(10) + 5.23
q(10) = 1.23 million barrels

The revenue from 1.23 million barrels at $86 per barrel is:
1.23 million barrels * $86 = $105.78 million

To find how fast the revenue was changing at that time, we need to find the derivative of the revenue function with respect to time.

Derivatives are the instantaneous rates of change of a function with respect to its independent variable(s).
R(t) = q(t) * $86

R(t) = (0.0112 - 0.4t + 5.23) * $86

R(t) = $0.9632 - $34.4t + $449.78

R'(t) = - $34.4

Thus, we can state that the revenue was decreasing at a rate of $34.4 million per year at the start of 2010.

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Answer:

5x-2

Step-by-step explanation:

distribute the negative to get

7x+3-2x-1

simplify by combining like terms

5x-2

Answer:

76

Step-by-step explanation:

Hi there!

Since this is a one-step equation, we can solve it in one step.

This step is multiplying both sides by 4 to isolate x:

x=16*4

x=64

Therefore, x=64.

Hope it helps!

~GracefulGirlie

Good luck. :)

Answer:

X = 64

Step-by-step explanation:

x/4 = 16

Multiply both sides by 4

x = 16 x 4

Multiply 16 and 4 equals 64

I used the Microsoft math solver app, if this answer is correct you can use it as a tool for future math problems. I used it a lot in my math class. Hope this helps :)

We have shown that if the statement holds for k, then it also holds for k + 1.

To prove the statement using mathematical induction, we will first show that it holds true for the base case (n = 1), and then we will assume that it holds for an arbitrary natural number k and prove that it holds for k + 1.

Base Case (n = 1):

When n = 1, we have:

1(1+1)(2(1)+1) = 6

And the sum of squares on the right side is:

1² = 1

Since both sides of the equation are equal to 6, the base case holds.

Inductive Hypothesis:

Assume that the statement holds for some arbitrary natural number k. In other words, assume that:

k(k+1)(2k+1) = 1² + 2² + ... + k² ----(1)

Inductive Step:

We need to show that the statement also holds for k + 1. That is, we need to prove that:

(k+1)((k+1)+1)(2(k+1)+1) = 1² + 2² + ... + k² + (k+1)² ----(2)

Starting with the left-hand side of equation (2):

(k+1)((k+1)+1)(2(k+1)+1)

= (k+1)(k+2)(2k+3)

= (k(k+1)(2k+1)) + (3k(k+1)) + (2k+3)

Now, substituting equation (1) into the first term, we get:

(k(k+1)(2k+1)) = 1² + 2² + ... + k²

Expanding the second term (3k(k+1)) and simplifying, we have:

3k(k+1) = 3k² + 3k

Combining the terms (2k+3) and (3k² + 3k), we get:

2k+3 + 3k² + 3k = 3k² + 5k + 3

Now, we can rewrite equation (2) as:

3k² + 5k + 3 + 1² + 2² + ... + k²

Since we assumed equation (1) to be true for k, we can replace it in the above equation:

= 1² + 2² + ... + k² + (k+1)²

Thus, we have shown that if the statement holds for k, then it also holds for k + 1. By the principle of mathematical induction, we conclude that the statement holds for all natural numbers n.

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Answer:

B. Hannah is taller because her z-score is higher than Kylie’s z-score.

Step-by-step explanation:

Hannah is taller because her z-score is higher than Kylie’s z-score.

The Z-score quantifies the discrepancy between a given value and the standard deviation. The Z-score, also known as the standard score, indicates how many standard deviations a specific data point deviates from the mean. In essence, standard deviation represents the degree of variability present in a given data collection.

Given:

At age six, Kylie is 50 inches tall with z-score = 1.8

and, At age four, Hannah is 48 inches tall with z-score = 2.1

So, the height will depend on the z- score the higher the z score the taller the person.

Hence, Hannah is taller because her z-score is higher than Kylie’s z-score.

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Answer:

6/5

Step-by-step explanation:

2/5*3=2/5*3/1=6/5

Answer:

\(\frac{6}{5}\) or \(1\frac{1}{5}\)

Step-by-step explanation:

\(\frac{2}{5} *3\)

3 can be rewritten as 3/1

\(=\frac{2}{5}*\frac{3}{1}\)

Multiply the numerators and denominators

\(2*3=6\\5*1=5\)

\(= \frac{6}{5}\)

You can also change this into a mixed number by dividing the numerator by the denominator and writing the remainder as the numerator:

\(= 1\frac{1}{5}\)

I hope this helps!

The recurrence relation for the number of ways to form postage of n cents with 4-cent, 6-cent, and 10-cent stamps, with order mattering, is P(n) = P(n-4) + P(n-6) + P(n-10), with initial conditions P(0) = 1 and P(n) = 0 for n < 0.

To form postage of n cents, we can use either a 4-cent stamp, a 6-cent stamp, or a 10-cent stamp.

Therefore, the number of ways to form postage of n cents can be calculated by considering the number of ways to form postage of (n-4) cents, (n-6) cents, and (n-10) cents.

Let P(n) denote the number of ways to form postage of n cents with these stamps.

Then we have:

P(n) = P(n-4) + P(n-6) + P(n-10)

This is a recurrence relation for P(n).

The initial conditions for this recurrence relation are:

P(0) = 1 (There is one way to form postage of 0 cents, by using no stamps.)

P(n) = 0 for n < 0 (There are no ways to form negative postage.)

We can also find P(4), P(6), and P(10) directly:

P(4) = 1 (We can use one 4-cent stamp.)

P(6) = 2 (We can use one 6-cent stamp, or two 4-cent stamps.)

P(10) = 4 (We can use one 10-cent stamp, or one 6-cent stamp and one 4-cent stamp, or two 4-cent stamps and one 2-cent stamp, or four 2-cent stamps.)

Using these initial conditions and the recurrence relation, we can calculate P(n) for any positive integer n.

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A) the three inequalities that must be satisfied are:

B) Graph shaded and satisfying all conditions is attached.

An inequality in mathematics is a relationship that makes a non-equal comparison between two integers or other mathematical expressions.

It is most commonly used to compare the sizes of two numbers on a number line.

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a) The scale factor from shape A to B is 4/3.

b) Using the scale factor, the value for w is obtained as 5.25.

What is scale factor?

The scale factor of a shape refers to the amount by which it is increased or shrunk. It is applied when a 2D shape, such as a circle, triangle, square, or rectangle, needs to be made larger.

The diagram have two quadrilaterals which are similar.

To find the scale factor apply the proportion formula -

A : B = 4 : 3

So, the scale factor is -

A/B = 4/3

Therefore, the scale factor value is 4/3.

To find the value for length w use the scale factor.

The proportion expression is -

A : B = 7 : w

Substitute the values into the equation -

4 : 3 = 7 : w

Solve to get the value for w.

4/3 = 7/w

4w = 21

w = 21/4

w = 5.25

Therefore, the value for w is obtained as 5.25.

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