please help me!!!!!!!!!!!!!!!!!!​

The term "content loaded in a test of the hypotheses" refers to the data and information used to perform the hypothesis test, which in this case resulted in a calculated p-value of 0.03.

Based on the information provided, the calculated p-value of 0.03 is less than the level of significance of 2%. This means that the null hypothesis can be rejected and the alternative hypothesis can be accepted.

Therefore, the decision is to reject the null hypothesis and conclude that there is sufficient evidence to support the alternative hypothesis.

The term "content loaded in a test of the hypotheses" refers to the data and information used to perform the hypothesis test, which in this case resulted in a calculated p-value of 0.03.

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Answer:

20 hours.

Step-by-step explanation.

The total distance traveled was 400 miles. Then I divided 400 by 20. I got 20.

Answer:

The answers are

1) x=24

2) x=30

Answer:

The coordinate of \(Z\) is 13.36.

Step-by-step explanation:

According to the statement, we have the following information:

\(\frac{XY}{XZ} = \frac{5}{12}\) (1)

\(\frac{YZ}{XZ} = \frac{7}{12}\) (2)

\(X = 0.4\) (3)

\(Y = 5.8\) (4)

From (2), we have the following expression:

\(YZ = \frac{7}{12}\cdot XZ\)

\(Y-Z =\frac{7}{12}\cdot (X-Z)\)

\(Y - Z = \frac{7}{12}\cdot X -\frac{7}{12}\cdot Z\)

\(Y-\frac{7}{12}\cdot X = Z-\frac{7}{12}\cdot Z\)

\(\frac{5}{12}\cdot Z = Y-\frac{7}{12}\cdot X\)

\(5\cdot Z = 12\cdot Y-7\cdot X\)

\(Z = \frac{12}{5}\cdot Y-\frac{7}{5}\cdot X\) (5)

If we know that \(Y = 5.8\) and \(X = 0.4\), then the coordinate of \(Z\) is:

\(Z = \frac{12}{5}\cdot (5.8)-\frac{7}{5}\cdot (0.4)\)

\(Z = 13.36\)

The coordinate of \(Z\) is 13.36.

Answer:

270 minutes

Step-by-step explanation:

1 hour = 60 minutes

4 hours = 240 minutes

half hour = 30 minutes

240 minutes + 30 minutes = 270 minutes

Answer:

22

Step-by-step explanation:

Well, first, let's replace 2 with k, since k = 2.

2(3) - (2 - 10) + 4(2)

Now, let's do the equation inside the parenthesis first.

2(3) - (-8) + 4(2)

Now, multiply.

6 - (-8) + 8

Now, subtract.

14 + 8

Now, finish the equation.

14 + 8 = 22

The value of x in the chord intersection is 16 units.

The intersecting chord theorem  states that the products of the lengths of the line segments on each chord are equal. In other words, If two chords intersect in a circle , then the products of the measures of the segments of the chords are equal.

Therefore, lets find the value of x in the intersecting chords as follows:

15 × x = 24 × 10

15x = 240

divide both sides of the equation by 15

x = 240 / 15

x = 16

Therefore,

x = 16 units

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The combined terms of the given expression are 3m + 16x + 1.

What is simplification?

To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. It simplifies the issue through mathematics and problem-solving.

Here, we have

Given: (6m+7x)+(−2−3m)+(9x+3)

We have to combine all like terms and simplify the given expression.

= (6m+7x)+(−2−3m)+(9x+3)

= 6m + 7x - 2 - 3m + 9x + 3

= 3m + 16x + 1

Hence, the combined terms of the given expression are 3m + 16x + 1.

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Answer:

the third one

Step-by-step explanation:

........

Answer: C

Step-by-step explanation:

Sydney Ltd needs to sell 20,700 units of the product to earn a target profit of $150,000.

To calculate the number of units needed to be sold to achieve the target profit, we can use the formula: (Fixed costs + Target profit) / (Sales price - Variable costs).

Plugging in the given values, we have ($16,500 + $150,000) / ($12 - $4) = $166,500 / $8 = 20,812.5 units.

Since the number of units must be a whole number, we round down to the nearest whole number, which is 20,700 units.

Therefore, Sydney Ltd needs to sell 20,700 units of the product to earn a target profit of $150,000.

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Given:

The objective is to find the point that lies on both lines.

Explanation:

In the given figure, point D lies at the intersection of two lines.

So point D acts as a common point for line segment AB and CD.

Thus, point D lies on both lines of the figure.

Hence, point D is the correct answer.

Answer:

7) (f+g) (x) = 4^x + 5x -5

8) (f-g) (x) = 4^x + x - 5

Step-by-step explanation:

7)  Find (f +g)(x)

(4^x + 3x + 2x - 5)

(4^x + 5x -5)

(f+g) (x) = 4^x + 5x -5

8) Find (f-g)(x)

(4^x + 3x - 2x - 5)

(4^x + x - 5)

(f-g) (x) = 4^x + x - 5

The given differential equation is y(8x + y + 8)dx + (8x + 2y)dy = 0.

To solve this equation, we can use the integrating factor method. First, we identify the coefficients of dx and dy, which are y(8x + y + 8) and (8x + 2y), respectively. Then, we compare the equation with the standard form of a first-order linear differential equation, which is M(x, y)dx + N(x, y)dy = 0.

In our equation, M(x, y) = y(8x + y + 8) and N(x, y) = (8x + 2y). We can see that the coefficient of dy is not a function of x only, so we need to find an integrating factor.

The integrating factor (IF) can be found by multiplying both sides of the equation by the appropriate function. In this case, the integrating factor is \(e^{(f(N - M)/N dx).\)

By substituting the given values of M(x, y) and N(x, y) into the formula for the integrating factor, we can calculate the integrating factor and proceed with solving the differential equation.

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Answer:

The answer is (A), Pipa kept 3 stickers to herself

Step-by-step explanation:

Answer:

\(a_{n}\) = 2n - 3

Step-by-step explanation:

the nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + d(n - 1)

where a₁ is the first term and d the common difference

given a₁ = - 1 and a₅ = 7 , then

a₁ + 4d = 7 , that is

- 1 + 4d = 7 ( add 1 to both sides )

4d = 8 ( divide both sides by 4 )

d = 2

then

\(a_{n}\) = - 1 + 2(n - 1) = - 1 + 2n - 2 = 2n - 3

\(a_{n}\) = 2n - 3

Answer:

48

Step-by-step explanation:

(-6)(4)(-2)

~Multiply the first two numbers

(-6 * 4)(-2)

(-24)(-2)

~Multiply again (keep in mind that multiplying two negatives will have a positive outcome)

48

Best of Luck!

Answer:

The answer is below

Step-by-step explanation:

The ratio of Keith's height and his nephew's height is 15:7. Let keith height be x cm and his nephews height be y cm.

\(\frac{x}{y}=\frac{15}{7} \\x=\frac{15}{7}y\)

Keiths height increased by 16% , therefore Keith new height is (100% + 16%) × x = 1.16x

The nephew height is doubled, therefore his new height is 2y.

Given that Keith is now 34 cm taller than his nephew

1.16x = 2y + 34

but x = (15/7)y

\(1.16(\frac{15}{7} )y=2y+34\\\\\frac{87}{35} y=2y+34\\\\\frac{87}{35} y-2y=34\\\\\frac{17}{35}y=34\\ \\y=\frac{34*35}{17}\\ \\y=70\ cm\)

The nephews new height = 2y = 2(70) = 140 cm

Keith new height = 2y + 34 = 140 + 34 = 174 cm

Their total current height = 140 cm + 174 cm = 314 cm

Answer:

The amount she saves is 25% of her income

Step-by-step explanation:

She is paid $11 per hour

She works 9 hours per day

and for 24 days per month

So, she works 9(24) hours per month

= 216 hours per month

Now, she is paid $11 hourly, so for 216 hours,

she will have 11(216) = $2376

Total income = $2376 per month

Saving = $594 per month

As a percentage, we divide the savings by the total income,

savings/(total income) = 594/2376 = 1/4 = 0.25

Hence we get 25%

I can help you with that problem i just did that on my own.

Answer:

E

Step-by-step explanation:

Answer:

2nd option

Step-by-step explanation:

x² + 11x + 30

Consider the factors of the constant term (+ 30) which sum to give the coefficient of the x- term (+ 11)

The factors are + 6 and + 5 , since

6 × 5 = 30 and 6 + 5 = 11 , then

x² + 11x + 30 = (x + 6)(x + 5) ← in factored form

Answer:

(x+6)(x+5)

because the sum of 6+5 is 11x

and the multiplication of 6·5 is 30

9514 1404 393

Answer:

  please open the second attachment

Step-by-step explanation:

The matrix representation of the equations for the coefficients is attached.

The volume of Uranus having a diameter of 50724000 m is 6.829 x 1022 m3.

Volume is defined as the quantity of the three-dimensional space occupied by a closed three-dimensional figure. In the case of any object, volume is measured in cubic units. In cases of solid objects, their volume is measured in cubic units of length, such as meters, centimeters, etc.

To calculate the volume of spherical objects, viz. for a planet (assuming it is an ideal sphere in shape), the following formula is applied:

Volume (V) = 4/3  π\(R^{3}\) cubic units

where R = radius and π  = 3.14, a mathematical constant.

It is given that the diameter ( D ) of Uranus = 50724000 m.

Therefore radius ( R ) = D/ 2 = 50724000 m/ 2 = 25362000 m.

Therefore volume of planet Uranus = 4/3 π\(R^{3}\).

Substituting  π by 3.14 and R by 25362000m, we get

Volume = 6.829 x 1022 \(m^{3}\)

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The exact value of the expression tan 15 + tan 30 / (1 - tan 150 tan 30) is 2/3.

The expression tan 15 + tan 30 / (1 - tan 150 tan 30) can be simplified by expressing each term in terms of sine and cosine functions.

First, let's express tan 15 in terms of sine and cosine. We can use the formula for the tangent of the sum of two angles:

tan(A + B) = (tan A + tan B) / (1 - tan A tan B)

In this case, A = 15 and B = 30. Plugging in these values, we have:

tan(15 + 30) = (tan 15 + tan 30) / (1 - tan 15 tan 30)

Simplifying the right side, we get:

tan(45) = (tan 15 + tan 30) / (1 - tan 15 tan 30)

Since tan 45 equals 1, we have:

1 = (tan 15 + tan 30) / (1 - tan 15 tan 30)

Next, let's express tan 30 in terms of sine and cosine. We know that tan 30 equals sin 30 / cos 30. Since sin 30 equals 1/2 and cos 30 equals √3/2, we have:

tan 30 = (1/2) / (√3/2) = 1 / √3

Now, let's express tan 150 in terms of sine and cosine. We know that tan 150 equals sin 150 / cos 150.

Since sin 150 equals 1/2 and cos 150 equals -√3/2, we have:

tan 150 = (1/2) / (-√3/2) = -1 / √3

Now, we can substitute these values back into the expression:

1 = (tan 15 + 1 / √3) / (1 - (-1 / √3) * (1 / √3))

Simplifying further:

1 = (tan 15 + 1 / √3) / (1 + 1 / 3)

Multiplying both sides by 3 to eliminate the fraction:

3 = 3(tan 15 + 1 / √3)

3 = 3tan 15 + 1

Subtracting 1 from both sides:

2 = 3tan 15

Finally, dividing both sides by 3:

2/3 = tan 15

So, the exact value of the expression tan 15 + tan 30 / (1 - tan 150 tan 30) is 2/3.

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Answer:

a) -8/3 < 7/2

b) -5/11 > -6/11

Step-by-step explanation:

For a - Each negative number is less than a positive number.

For b- when we compare 5/11 and 6/11, it is 5/11= 0.4545... , 6/11=0.5454... The first number after (0.-) is 4 for 5/11, and 5 for 6/11. 4<5, it means that 5/11 < 6/11 , but in question they are negative, and in that situation the result will be the opposite. -5/11>-6/11

Given:

The expression is \(10 - (-6)\).

Sam's calculation is \(10 - (-6) = 10 + (-6) = 4\)

To find:

Whether Sam's thinking correct or not.

Solution:

We have,

\(10 - (-6) = 10+6\)       \([\because (-)(-)=(+)]\)

\(10 - (-6) = 16\)

\(10 - (-6) \neq 4\)

Therefore, Sam's thinking was incorrect.

On number first we have to move 10 units from 0 in positive direction after that negative sign means move in left direction.

But we have 2 negative signs so we need to move 6 units more on positive or right direct as shown below.

Answer:

0, 2, and 4.

Step-by-step explanation:

-3x-3≤6

Add 3 on both sides of the inequality.

-3x≤9

Divide both sides of the inequality by -3.

x≥3

The solutions possible for x can be 0, 2, and 4.

Answer:

1000 mL = 1 L

Step-by-step explanation:

This is how you convert mL to L

Required:

We need to fill the given diagram with suitable words.

Explanation:

Consider the first line.

There is a choice of fish-bottled water is coming from fish and bottled water.

Consider the second like there is Chicken-bottled water and we have bottled water.

There must be chicken under food.

There are only three types of drink that are Bottled water, Soft drink, and juice.

In drinks for fish, there are already two drinks Bottled water and juice so the remaining is Soft drinks.

Chicken and juice give a choice of Chicken-Juice.

Vegetable and Juice give a choice of Vegetable- Juice.

Answer:

C

Step-by-step explanation:

Doing the quiz rn myself