6(X - 2) = -48

Find x

For a hypothesis testing, \(H_0 : µ = µ_0\) ; \(H_1 : µ > µ_0.\) the calculated P-value for test statistic value are following a) 0.9906 ; b) 0.9370 ; c) 0.9773; d) 0.9678 ; e) 0.4404.

We are testing the null hypothesis versus alternative hypothesis. Both are defined as \(H_0 : µ = µ_0\)

\(H_1 : µ > µ_0.\).

We have to calculate the P-value for the following observed values test statistic one by one.

a)z = 2.35

The P -value is calculated for as follows P ( z > Zo) = 1 - P( z≤ z0)

= 1 - P( z≤ 2.35)

Now, using the normal distribution table, the value of P( z≤ 2.35) is equals to 0.009387. So, P( z> 2.35) = 1 - 0.009387

= 0.990613

b) z₀ = 1.53

The P-value is calculated for as follows P ( z > z₀) = 1 - P( z≤ z₀)

= 1 - P( z≤ 1.53)

Now, using the normal distribution table , the value of P( z≤ 1.53) is equals to 0.063008. So, P( z> 1.53) = 1 - 0.063008

=0.936992

c) z₀ = 2.00

The P-value is calculated for as follows, P ( z > z₀) = 1 - P( z≤ z₀)

= 1 - P( z≤ 2.00)

Now, using the normal distribution table , the value of P( z≤ 2.00) is equals to 0.02275. So, P( z> 2.00) = 1 - 0.02275

=0.97725

d) z₀ = 1.85

The P-value is calculated for as follows P ( z > z₀) = 1 - P( z≤ z₀)

= 1 - P( z≤ 1.85)

Now, using the normal distribution table , the value of P( z≤ 1.85 ) is equals to 0.032157. So, P( z> 1.85) = 1 - 0.032157

=0.967843

e) z₀ = -0. 15

The P-value is calculated for as follows P ( z > -z₀) = P( z ≤ z₀)

= P( z≤ 0.15 )

Now, using the normal distribution table , the value of P( z≤ 0.15) is equals to 0.440382. So, P( z > - 0.15) = 0.44038. Hence the required P-value is 0.44038.

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The complete statement is:

The given parameters are:

Students = 754

Student per table = 6

The number of tables is calculated as:

Table = Students / Student per table

This gives

Table = 754/6

Evaluate the quotient

Table = 125.7

Approximate

Table = 126

Hence, the complete statement is:

Determine the number of tables by dividing 754 by 6

If there is a remainder, the answer will need to be rounded.

There is a remainder, so 126 tables are needed.

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Answer:

No

Step-by-step explanation:

the standard form is x^2 +2x+6

Answer:

A or C

Step-by-step explanation:

not B or D

Answer:

adjacent I think

Step-by-step explanation:

Answer:

b is the right answer

Step-by-step explanation:

To find the equation of the tangent line to the curve at the given point, we need to use implicit differentiation. This involves differentiating both sides of the equation with respect to x, treating y as a function of x.

Taking the derivative of both sides of the equation, we get:

(2/3)x^(-1/3) + (2/3)y^(-1/3)*dy/dx = 0

Now we can solve for dy/dx:

dy/dx = -(y^(1/3)/x^(1/3))

To find the equation of the tangent line, we need to find the slope of the tangent line at the given point. Plugging in the coordinates (-3√3,1) into our expression for dy/dx, we get:

dy/dx = -(1^(1/3)/(-3√3)^(1/3)) = -(1/3)

So the slope of the tangent line is -1/3.

Next, we need to find the y-intercept of the tangent line. To do this, we can use the point-slope form of a line:

y - y1 = m(x - x1)

Plugging in the values we have so far, we get:

y - 1 = -(1/3)(x + 3√3)

Simplifying this equation, we get:

y = -(1/3)x - √3 + 1

So the equation of the tangent line to the curve x^(2/3) + y^(2/3) = 4 at the point (-3√3,1) is y = -(1/3)x - √3 + 1.
To start, we'll use implicit differentiation to find dy/dx (the derivative of y with respect to x). Differentiating both sides of the equation with respect to x, we get:

(2/3)x^(-1/3) + (2/3)y^(-1/3)(dy/dx) = 0.

Now, we can solve for dy/dx:

(2/3)y^(-1/3)(dy/dx) = -(2/3)x^(-1/3).

dy/dx = -[x^(-1/3)/y^(-1/3)].

Next, plug in the given point (-3√3, 1) into the expression for dy/dx:

dy/dx = -[(-3√3)^(-1/3) / 1^(-1/3)] = -(-1/3).

Therefore, dy/dx = 1/3 at the given point.

Now, we have the slope of the tangent line (1/3) and the point (-3√3, 1). Using the point-slope form of a linear equation, we can find the equation of the tangent line:

y - 1 = (1/3)(x + 3√3).

Thus, the equation of the tangent line to the curve x^(2/3) + y^(2/3) = 4 at the point (-3√3, 1) is y - 1 = (1/3)(x + 3√3).

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Answer:

2.

Step-by-step explanation:

Divide 8 by 1 over 4. The line in a fraction represents the division line. 1/4 is 0.25, so you do 0.25 x 8. Hope this helps!

Answer:

y = -3x + 10

Step-by-step explanation:

Do you want the equation of the line?

y = mx + b

the b is where the line intersects the y axis.  That is at 10.  The slope is down 3 and right 1.  That would be -3

Answer:

Frame 1 to Frame 2:

Translation (x,y) to (x,-y)

Frame 2 to Frame 3:

Rotation R₉₀

Frame 3 to Frame 4:

Translation (x,-y) to (x,y)

Step-by-step explanation:

I know this very well :)

Answer:

Use multiplication and dividing.

Step-by-step explanation:

If you want to convert to a smaller unit, you must multiply.

For example...

4 Feet to Inches:

\(4 * 12 =48\) inches

2 Yards to Inches:

\(2 * 3 = 6\) feet

\(6 * 12 = 72\) inches

If you want to convert to a larger unit, you must divide.

336 Inches to Feet:

\(336/12=28\) feet

756 Inches to Yards:

\(756/12=63\) feet

\(63/3=21\) yards

\(answer = {7x}^{6} {y}^{6} \\ solution \\ ( {7x}^{3} {y}^{3} ) ^{2} \\ = {7x}^{3 \times 2} {y}^{3 \times 2} \\ = {7x}^{6} {y}^{6} \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment\)

Answer:

\(49 {x}^{6} {y}^{6} \\ \)

Step-by-step explanation:

\( {(7 {x}^{3} {y}^{3}) }^{2} \\ {7}^{2} {x}^{3 \times 2} {y}^{3 \times 2} \\ = 49 {x}^{6} {y}^{6}\)

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

-2/2 or simplify to =-1

Step-by-step explanation:

you use rise over run. you may use an exact formula (y2-y1)/(x2-x1) by picking 2 y values and 2 x values on the graph and subtracting the values.

To calculate a three-month moving average for monthly forecasting, you need to follow these steps: Gather the historical data, Determine the time period, Calculate the moving average, Repeat the process.

Gather the historical data: Collect the monthly data for the specific variable you want to forecast. For example, if you want to forecast sales, gather the sales data for the past several months.

Determine the time period: Decide on the time period for your moving average. In this case, it is three months.

Calculate the moving average: Add up the values for the variable you are analyzing over the past three months and divide the sum by three to get the average. This will be your moving average value for the third month.

Repeat the process: Shift the time period by one month and calculate the moving average for the new three-month period. Continue this process for each subsequent month, updating the time period and calculating the moving average accordingly.

For example, let's say you have the following sales data for the past six months:

Month 1: 100 units

Month 2: 120 units

Month 3: 110 units

Month 4: 130 units

Month 5: 140 units

Month 6: 150 units

To calculate the three-month moving average for Month 4, you would add up the sales values for Month 2, Month 3, and Month 4 (120 + 110 + 130 = 360) and divide it by three to get an average of 120 units. Repeat this process for each subsequent month to obtain the moving average values for your forecast.

Note that the number of data points you include in the moving average calculation and the frequency of the data (monthly in this case) can be adjusted based on your specific needs and the nature of the data.

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Answer:

A. y + 1 = -3(x - 4)

Step-by-step explanation:

If the equations are perpendicular, then that means they have the same slope, just with the opposite sign. In this case, the given equation's slope is 3, which means that the other equation's slope is -3. Now that we know the slope and one point, we can write the equation in point-slope form:

y - y1 = m(x - x1)

y - (-1) = -3(x - 4)

y + 1 = -3(x - 4)

The equation in point-slope form is answer choice A. y + 1 = -3(x - 4).

Hope this helps :)

The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number

The code provided indicates that each number corresponds to a letter in the alphabet. Since 1 is A, 2 is B, and so on, the code 1814151418 would decode as RADE. This is an example of a simple substitution cipher, a type of encryption where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which in this case is the code that maps each letter to a number. Knowing this, it is a simple task to decode any message that has been encrypted with this code.

The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number

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Answer:

9.2

Step-by-step explanation:

divide percentages by 100 if you're converting it to a decimal

;)

Answer:

9.2

920%

900-20

9.00

+

0.20

_____

9.20 or 9.2

Answer:

9 times 9 is 81+9= 90

Step-by-step explanation:

Answer: The answer to this basic math question with the given basic math expression is 90.

Step-by-step explanation: Mmmm, that was extremely easy, so anyway, here are 3 basic steps in order to evaluate the given basic expression:

Step 1. First, let's input the original basic equation that looks in the basic equation form like this: \(9*9+9.\)

Step 2. After we input the original basic equation, next, let's multiply 9 by 9 that looks in the basic equation form like this: \(81+9.\)

Step 3. Last but not least is after we multiply 9 by 9, finally, let's add 81 and 9 altogether, and therefore your answer to this basic math question with the given basic math expression is 90.

I hope that my full given answer with my full given step-by-step explanation is very helpful to your own basic math question with the given basic math expression, please mark me as Brainliest, take care, always be safe, and have a great rest of the day and good night! :D

Sincerely,

Jason Ta,

The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.

(a) The probability of obtaining two rods of the desired length is (100/200) * (99/199) = 0.495.

This can be found by using the formula for independent events:

P(A and B) = P(A) * P(B)

Since the two draws are of rods without replacement,

the probability of the first-rod being of the desired length = 100/200 (there are 100 desired-length rods out of a total of 200).

The probability of the second-rod being of the desired length = 99/199 (since one of the desired length rods has already been drawn). Multiplying these two probabilities gives us the answer.

(b)The probability of obtaining exactly one rod of the desired length

=(100/200) * (100/199) + (100/200) * (100/199)

= 0.990.

This can be found by using the formula for the union of two events: P(A or B) = P(A) + P(B).

Since the two draws are rods without replacement, the first draw has a probability of 100/200 of being of the desired length (there are 100 desired-length rods out of a total of 200).

The probability of the second draw being of the desired length is 100/199 (since one of the desired length rods has already been drawn). Adding these two probabilities gives us the answer.

(c) The probability of obtaining none of the desired length is (50/200) * (50/199) = 0.015.

This can be found by using the formula for independent events

: P(A and B) = P(A) * P(B).

Since the two draws are of rods without replacement, the probability of the first-rod being of the undersized length is 50/200 (there are 50 undersized rods out of a total of 200).

The probability of the second-rod being of the undersized length is 50/199 (since one of the undersized rods has already been drawn). Multiplying these two probabilities gives us the answer.

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The permutation and combination C(n ,r) of

C(7,5) = 21.

Permutation

Permutation is the arrangement of objects, some or all of which are acquired at the same time, in a particular order. Consider ten numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. The number of different 4-digit PINs that can be formed from these 10 digits is 5040. P(10, 4) = 5040. This is a simple example of permutation. The permutation of 4 numbers out of 10 is equal to the factorial of 10 divided by the factorial of the difference between 10 and 4.

Combinations

Combinations are about grouping. Combinations can be used to calculate how many different groups can be formed from existing ones. Let's try to understand this with a simple example. Five students (William, James, Noah, Logan and Oliver) form teams of two.

According to the question:

C (n, r) = C( 7,5)

⇒ 7!/ 5! × 2!

⇒ 7 × 6 ×5!/ 5! × 2 ×1

⇒ 21.

Therefore, C(n ,r) = 21

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Answer:

P(9,-6), L(3,1)

Step-by-step explanation:

P(4+5,-6)= (9,-6)

L(-2+5, 1)= (3,1)

Answer:

P'(9,-6),L'(3,1)

Step-by-step explanation:

(x,y)→(x+5,y). P'(4,-6)→(4+5,-6)=(9,-6). L'(-2,1)→(-2+5,1)=(3,1).

An angle drawn in standard position measuring 10 radians has its terminal ray lying in the third quadrant. The reasoning behind this can be explained by understanding the relationship between the angle measurement and the quadrants in the coordinate plane.

In the standard position, an angle is drawn with its initial side along the positive x-axis and its terminal side determined by the angle measurement. In the coordinate plane, the quadrants are divided into four sections: first quadrant (positive x and y), second quadrant (negative x, positive y), third quadrant (negative x and y), and fourth quadrant (positive x, negative y).

In this case, the angle measures 10 radians, which is greater than π radians (approximately 3.14). Since π radians is half of a circle (180 degrees) and represents the boundary between the second and third quadrants, an angle measuring 10 radians is greater than π and thus falls in the third quadrant.

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The average of the new list of 4 numbers is 94.

If the average of the original list of 4 numbers is 90, then the sum of these 4 numbers is:

4 x 90 = 360

If the 4th number in the original list is 80, then the sum of the first 3 numbers in the original list is:

360 - 80 = 280

If the first 3 numbers in the new list are the same as in the original list then the sum of these new first 3 numbers is also:

280

If the 4th number in the new list is 96 then the sum of the 4 numbers in the new list is:

280 + 96 = 376

Therefore, the average of the new list of 4 numbers is:

376 / 4 = 94

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Gerard concluded that triangle with given sides cannot be used as  building-frame support because it is not right triangle, he come to this conclusion because the Pythagoras-theorem is not satisfied.

In order to check if a triangle is "right-triangle", Gerard used the Pythagorean theorem. According to this theorem, in right triangle, the square of length of hypotenuse (the side opposite the right angle) is equal to sum of squares of other two sides,

So, the squares of the given sides are :

Square of √95 feet = (√95)² = 95 feet

Square of 8 feet = 8² = 64 feet

Square of √150 feet = (√150)² = 150 feet

We see that, 95 feet + 64 feet = 159 feet ≠ 150 feet,

Since the square of the longest side (√150) is not equal to the sum of the squares of the other two sides (√95 and 8), the Pythagorean-theorem is not satisfied.

Therefore, Gerard concluded that the triangle with sides √95 feet, 8 feet, and √150 feet is not a right triangle.

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The given question is incomplete, the complete question is

Gerard concluded that the triangle with sides √95 feet, 8 feet, and √150 cannot be used as a building frame support on the house because it is not a right triangle. How did Gerard come to that conclusion? explain.

Answer:

(-3,2)

Step-by-step explanation:

Answer:

\(4^{6}\) = 4096

Step-by-step explanation:

The rule is \((a^{b})^c\) = \(a^{bc}\).

So you can just multiply the exponents together.

-3* -2 = 6

So the answer is \(4^{6}\) which is 4096. I don't know how your professor wants you to write the answer.

Answer:likely tell me if im wrong

Probability helps us to know the chances of an event occurring. The likelihood that best describes the probability of this event is Likely.

Probability helps us to know the chances of an event occurring.

\(\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\)

Given the probability of landing on blue when spinning a spinner is 4/5, therefore, there are 80% chances that the spinner will land on blue.

Hence, the likelihood that best describes the probability of this event is Likely.

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Answer:

13.5 cm^2

9*3 = 27

27/2=13.5

The original price of the ski jacket is $184.

What is price?

The sum of money paid or the amount of compensation offered by one party to another in exchange for goods or services is known as a price. The cost of production can take on different names depending on the circumstance. If the item is a "good" in a commercial transaction, the cost of the item will probably be referred to as its "price".

Given:

Paula bought a ski jacket on sale for $8 less than half its original price.

She paid $84 for the jacket.

We have to find the original price of the ski jacket.

Let

The original price = x

The amount she bought it = x/2 - 8

She paid $84 for the jacket

Therefore,

84 = x/2 - 8

Add 8 on both sides,

84 + 8 = x/2 - 8 + 8

92 = x/2

x = 184

Hence, the original price of the ski jacket is $184.

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