Help needed! What is the amplitude of this graph and given there are no other transformations, write the equation of this cosine function? comment if you can't help so I know please!​

Answer:

A = 3.6

Step-by-step explanation:

5.4 = a - (-1.8)

5.4 = a + 1.8

subtract 1.8 from both sides

3.6 = a

Hope this helps. Pls give brainliest.

Answer:

a = 3.6

Step-by-step explanation:

5.4=a−(−1.8)

Step 1: Simplify both sides of the equation.

5.4=a+1.8

Step 2: Flip the equation.

a+1.8=5.4

Step 3: Subtract 1.8 from both sides.

a+1.8−1.8=5.4−1.8

a=3.6

Answer:

Vertex of g(x) = ( -4 , 4)

Range of g(x)  is  \(g(x)\leq 4\)

Step-by-step explanation:

For the Vertex of g(x),

Vertex of the graph is also called the turning point of the graph, as we see the graph of g(x) we can see that the axis of symmetry is at x = -4 meaning that left side of the graph on x = -4 is a mirror reflection on the right side of the graph.

So the x-coordinate of the vertex is -4

Now for the y-coordinate,

y-coordinate of the vertex is where the axis of symmetry occurs so the axis of symmetry is at x = -4 if we trace where x = -4 leads us we can see that it leads to y = 4 so the vertex of g(x) is ( -4 , 4)

Now for the Range of g(x),

The range is the set of possible output values, which are shown on the y-axis. Here we can see that the maximum value of g(x) on the y-axis is 4 then the values on the y-axis decrease

For example

Maximum value is 4 then decreases from there like 4 , 3 , 2 , 1 , 0 , -1 , -2 .... and so on if we see the graph . So the max value is 4 so the range becomes ,

\(g(x)\leq 4\)

because the maximum value is 4 and then decreases so that is why we add the less than equal to sign.

Answer:

  9.45 ounces

Step-by-step explanation:

The formal definition of the standard deviation of a population is that it is the square root of the mean of the squares of the differences between the data values and their mean.

The calculation can be done more simply as the root of the difference between the mean of the squares and the square of the mean. That is the calculation shown in the attachment.

The population standard deviation is about 9.45 ounces.

_____

Additional comment

The easier way to do the calculation is to use the calculator or spreadsheet function that gives the result directly. For the Desmos calculator shown, that function is stdevp(w) for the definition of w that we used. The function has the same name in many spreadsheet programs.

When comparing groups two at a time using the t-test for independent groups, a type I error can occur if the null hypothesis is rejected when it is actually true. This means that a researcher may conclude that there is a significant difference between the two groups when there really isn't.

This can happen when the sample size is too small, the variance within each group is too large, or when the alpha level (the level of significance chosen) is set too high.

When comparing multiple groups using the t-test, there is an increased chance of making a type I error due to the increased number of comparisons being made. This is known as the multiple comparisons problem, which increases the likelihood of obtaining a false positive result.

To avoid making type I errors when comparing groups two at a time using the t-test for independent groups, it is important to carefully choose the alpha level, increase the sample size, and reduce the variance within each group. Additionally, conducting post-hoc tests and adjusting for multiple comparisons can also help to minimize the risk of making a type I error.

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There are 73,701 different 6-card hands (from a standard deck) with at least 3 kings.

To calculate the number of 6-card hands with at least 3 K's, the problem can be divided into:

Case 1:

Exactly 3 Kings

There are 4 ways to choose 3 kings to put in the hand, then there are 48 cards left to choose the remaining 3 cards (because we used 3 cards in a 52-card deck). Therefore, the number of 6-card hands with exactly 3 kings is:

4 * (48 choose 3) = 4 * 17,296 = 69,184

Case 2:

Exactly 4 Kings

There are 4 ways to choose 4 kings to put in the hand, then there are 48 cards left to choose the remaining 2 cards. Therefore, the number of 6-card hands with exactly 4 kings is:

4 * (48 choose 2) = 4 * 1.128 = 4.512

Case 3:

Exactly 5 kings

There are 4 ways to choose the 5 kings in the hand, then there is only one card left to choose from (because we used 5 of the 52 cards in the deck of cards). Therefore, the number of 6-card hands with exactly 5 kings is:

4*1=4

Case 4:

6 cards are king

There is only one way to choose all 6 cards as king.

Therefore, the total number of 6-card hands with at least 3 kings is:

69,184 + 4,512 + 4 + 1 = 73.701

So there are 73,701 different 6-card hands with at least 3 kings.  

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The probability that the sum of the squares of two randomly chosen real numbers between $0 and $2 is no more than $4 is 0.785 or 78.5%.

Consider the two numbers as x and y, with both x and y ranging from 0 to 2. The region satisfying the condition "the sum of their squares is no more than $4" forms a quarter of a circle centered at the origin with a radius of 2.

The area of the square is 2 * 2 = 4 square units.

The area of the quarter circle is given by (1/4) * π * r², where r is the radius of the circle, r = 2.

The area of the quarter circle is (1/4) * π * 2² = π square units.

The probability will be:

Probability = (Area of quarter circle) / (Area of square)

Probability = π / 4

Probability = 0.785 or 78.5%.

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Answer:

12/2

Step-by-step explanation:

Answer:

x = 7/2

Step-by-step explanation:

Most likely I have scored 375 3-point darts.

The expected (mean) value of the total points is as follows, with a 50% chance of scoring 1-point darts and the same for 3-point darts:50 percent of the 500-point darts score and 50 percent of the 500-point darts score. The anticipated number of points is 1 point multiplied by 1/2 (500) times 3 points yielding 1000 points.

The equality of distribution between the 1-point and 3-point scoring indicates that you scored 1500/1000, or 1.5 times the means, assuming that you actually scored 1500 points in total. That indicates that 1500 points are equal to 1.5 (.5) 500 (1 point) plus 1.5 (.5) 500 (3 points). Therefore, you scored 1.5 (.5) 375 3-point dart hits.

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Answer:

8 pi square units

Step-by-step explanation:

AB=V[3-(-1)]^2+[2-(-2)]^2=V16+16=V4^2*2=4V2

radius =4V2/2=2V2

Area=pi*(2V2)^2=8pi square units

Answer:

7 1/2 cups

Step-by-step explanation:

If Carol uses 1 1/4 cups of flour for 2 muffins, then she will need to repeat this conversion 6 times since she wants to make identical 12 muffins in all.

So, 1 1/4 * 6 = 7 1/2

Therefore, she needs 7 1/2 cups of flour

Hope that helps! :)

The equation of the parabola is y = 2(x - 1)² + 3

From the question, we have the following parameters that can be used in our computation:

Vertex = (1. 3)

Point = (2, 5)

These parameters can be expressed as

(h, k) = (1, 3)

(x, y) = (2. 5)

A parabola can be represented as

y = a(x - h)² + k

Substitute the known values in the above equation, so, we have the following representation

y = a(x - 1)² + 3

Next, we have

5 = a(2 - 1)² + 3

Evaluate the difference and the exponent

5 = a + 3

So, we have

a = 2

Substitute a = 2 in y = a(x - 1)² + 3

y = 2(x - 1)² + 3

Hence, the equation is y = 2(x - 1)² + 3

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Answer:

y = - 1/2x

Step-by-step explanation:

Answer:

Convergent

Step-by-step explanation:

One method to determine if  \(\displaystyle \sum^\infty_{k=1}ke^{-k^2}\)is convergent or divergent is the Integral Test.

Suppose that the function we use is \(f(x)=xe^{-x^2}\). Over the interval \([1,\infty)\), the function is always positive and continuous, but we also need to make sure it is decreasing before we can proceed with the Integral Test.

The derivative of this function is \(f'(x) = e^{-x^2}(1-2x^2)\), so our critical points will be \(\displaystyle x=\pm\frac{1}{\sqrt{2}}\), but we can drop the negative critical point as we are starting at \(k=1\). Using some test points, we can see that the function increases on the interval \(\bigr[0,\frac{1}{\sqrt{2}}\bigr]\) and decreases on the interval \(\bigr[\frac{1}{\sqrt{2}},\infty\bigr)\). Since the function will eventually decrease, we can go ahead with the Integral Test:

\(\displaystyle \int_{{\,1}}^{{\,\infty }}{{x{{{e}}^{ - {x^2}}}\,dx}} & = \mathop {\lim }\limits_{t \to \infty } \int_{{\,1}}^{{\,t}}{{x{{{e}}^{ - {x^2}}}\,dx}}\hspace{0.5in}u = - {x^2}\\ & = \mathop {\lim }\limits_{t \to \infty } \left. {\left( { - \frac{1}{2}{{{e}}^{ - {x^2}}}} \right)} \right|_1^t\\ & = \mathop {\lim }\limits_{t \to \infty } \left( {-\frac{1}{2}{{e}}^{ - {t^2}}-\biggr(-\frac{1}{2e}\biggr)}} \right) = \frac{1}{2e}\)

Therefore, since the integral is convergent, the series must also be convergent by the Integral Test.

Answer:

-1/6

Step-by-step explanation:

\(\frac{1}{2}- \frac{2}{3} = \frac{3}{6} - \frac{4}{6} = -\frac{1}{6}\)

Answer:

if Noah is 60 inches tall (5ft) and noah's friend is 2 inches shorter than he is 58inches tall, so no he won't be able to. but Noah could be 61 inches, but his friend is still to short.

Answer:

it depends, if Noah is taller than 60 by more than 2 inches his friend can ride but if he is exactly 60 inches then his friend would not be able to ride

Step-by-step explanation:

The one-step-ahead demand forecast for a part can be determined using forecasting methods such as moving averages, exponential smoothing, or regression analysis.

the question mentions "observations of the demand for a certain part stocked at a parts supply depot during the calendar year 1999." From this, we can assume that the demand for this part was recorded over the course of the year.

The question also mentions "one-step-ahead demand forecast" without providing further details. In general, a one-step-ahead demand forecast is a prediction of the demand for a certain period based on historical data.

To determine the one-step-ahead demand forecast, you would typically use forecasting methods such as moving averages, exponential smoothing, or regression analysis. These methods analyze the historical demand data and use it to predict future demand.

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Answer:

Sure, here are the numbers arranged from greatest to least

Step-by-step explanation:

Order from greatest to least

1.3, 4.5%, 1/3, -4/5, -0.04, -21.5%

Answer:

From the greatest to least

Step-by-step explanation:

1.3, 4.5%, 1/3, -4/5, -0.04, -21.5%

You can identify which number is greater than other by using a number line.

What is a number line?

A number line is what a math student can use to find the answer to addition and subtraction questions. A straight line, theoretically extending to infinity in both positive and negative directions from zero, that shows the relative order of the real numbers.

Hope this helps :)

Pls Brainliest...

9 minutes is the new standard time for the navigator iii.

What is statistics and example?

If a process improvement has changed the mean observed time for element 6 to 1.50 minutes, then

Element            1    2            3         4             5          6  

Mean obs. Time(t) 1.11   3.1    0.895  1.283333 1.565 1.5  

Normal time       1.0545  1.395 0.93975 1.283333 1.33025 1.65   Sum

Standard time   1.240588 1.641176 1.105588  1.509804 1.565 1.941176

   Sum    9.003333

New standard time = 9 minutes

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Answer:

x = 350 gallons (amt of 60% solution that must be added)

Step-by-step explanation:

Amt of 60% solution = x gallons ; Amt of active ingredient = 0.6x gallons

Amt of 15% solution = 100 gallons ; Amt of active ingredient = 15 gallons

Amt of 50% solution = 100+x gallons ; Amt of active = 50 + 0.5x gallons

EQUATION:

Active ingredient: 0.60x + 15 = 50 + 0.50x

0.10x = 35

x = 350 gallons (amt of 60% solution that must be added)

Answer: 1/9 is the fraction form

Step-by-step explanation:

Answer:

1/9

Step-by-step explanation:

\(3^{-2}\)

= 1/\(3^{2}\)

= 1/9

The amount he will pay with the friend  if 20% is deducted before adding tax is $56.55

We should know that we have to deduct the tip for excellent driving g before adding up the tax to the total first.

The given parameters are

Bill =$65

Tax rate= 7%

Tip for excellent driving =20%

First deduct 0.2*65

=13

Balance = $(65-13)

Balance= $52.00

Tax = 0.07*65

Tax = 4.55

Then $(52.00+4.55)

= $56.55

In conclusion, the amount he will pay with the friend  if 20% is deducted before adding tax is $56.55

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If the scale factor is 3, then the image is an enlargement (a stretch).

What is dilation?

A dilation is a transformation that creates an image that has the same shape as the original but is larger.

• An enlargement is a dilation that produces a larger image.

• A reduction is a dilation that produces a smaller image.

• A dilation expands or contracts the original figure.

A description of a dilation includes the scale factor (or ratio) and the center of the dilation.

• The center of dilation is a fixed point in the plane.

• If the scale factor is greater than 1, the image is an enlargement (a stretch).

• If the scale factor is between 0 and 1, the image is a reduction (a shrink).

• If the scale factor is 1, the figure and the image are congruent.

hence, If the scale factor is 3, then the image is an enlargement (a stretch).

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Answer:

d ≈ 8.5 units

Step-by-step explanation:

calculate the distance using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = A (2, - 1 ) and (x₂, y₂ ) = B (- 4, 5 )

d = \(\sqrt{(-4-2)^2+(5-(-1))^2}\)

   = \(\sqrt{(-6)^2+(5+1)^2}\)

   = \(\sqrt{36+6^2}\)

   = \(\sqrt{36+36}\)

   = \(\sqrt{72}\)

   ≈ 8.5 units ( to 1 decimal place )

The given table shows multiplicative relationship.

What is additive or multiplicative relationship?

Adding the SAME number to any x-value results in the matching y-value, according to additive relationships.

In a multiplicative relationship, the y-value is obtained by multiplying any x-value by the SAME number.

From the table each number in the y - column is the value double of the x - value. That means y - column contains the double value of x - column.

10 = 2(5),  14 = 2(7),  18 = 2(9).

So,  y = 2x.

There is a multiplicative relationship between column x and y.

Therefore the table given shows multiplicative relationship.

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Answer:

∠ A = 50°

Step-by-step explanation:

The angle adjacent to 145° inside the triangle is

180° - 145° = 35°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

85° is an exterior angle of the triangle , then

∠ A + 35° = 85 ( subtract 35° from both sides )

∠ A = 50°

Answer:

  (x +1)^2 + (y +2)^2 = 25

Step-by-step explanation:

A diagram of the given triangle shows you it has side lengths of 3 and 4, so the square of the hypotenuse is ...

  (AC)^2 = (AB)^2 +(BC)^2 = 3^2 +4^2

  (AC)^2 = 25

The center of the circle is at A(-1, -2), so the equation is ...

  (x -h)^2 +(y -k)^2 = r^2

for the circle centered at (h, k) with radius r.

We know that the square of the radius (r^2) is 25, so we can write the equation as ...

  (x +1)^2 +(y +2)^2 = 25

Answer:

(x + 1)2 + (y + 2)2 = 25

Step-by-step explanation:

Hope this helps :)

Answer:

x = 28

m∠A = 76°

m∠B = 104°

Step-by-step explanation:

Given the figure we can see that the two angles which measure

2x + 20 and 4x - 8 are adjacent linear angles and therefore they are supplementary angles which further means they add up to 180°

So

2x + 20 + 4x - 8 = 180

2x + 4x + 20 - 8 = 180\

6x + 12 = 180

6x = 180 - 12

6x = 168

x = 168/6

x = 28

We also have the property that angles that are vertically opposite each other at the vertex of the intersection of two lines are equal

So the angle represented by 2x + 20 = 2(28) + 20 = 56 + 20 = 76°

∠A is a vertically opposite angle to this angle and therefore the magnitude of ∠A denoted by m∠A = 76°

The angle represented by 4x - 8 = 4(28) - 8 = 112 - 8 = 104°

Since ∠B is a vertically opposite angle to this angle we have

m∠B = 104°