A group of 59 randomly selected students have a mean score of 29.5 with a standard

deviation of 5.2 on a placement test. What is the 90% confidence interval for the mean

score, ", of all students taking the test?

To solve the equation 3tan^2 = sqrt3 tanx for all real values of x, divide both sides of the equation by tan(x) and then take the inverse tangent of both sides. The solutions for x are 30°, 210°, 390°, ...

To solve the equation 3tan^2 = sqrt3 tanx for all real values of x, we can start by rearranging the equation. Divide both sides of the equation by tan(x) to get:

3tan(x) = sqrt3

Next, divide both sides of the equation by 3 to get:

tan(x) = sqrt3/3

Now, we need to find the values of x where the tangent function equals sqrt3/3. We can use the inverse tangent function to find the angles. Taking the inverse tangent of both sides gives:

x = arctan(sqrt3/3)

Then, we can simplify the expression:

x = 30° + n * 180°

where n is an integer. Therefore, the solutions for x are 30°, 210°, 390°, ...

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Answer:

7880

Step-by-step explanation:

If A is S then S is A so using Trin's method...you can find 18x*760+y

Answer:

A&B

Step-by-step explanation:

3q + 2p is our correct answer.

Given,

q + p + q + p + q

We need to find the final expression.

Since the options are not given here we will assume the answers.

An expression is a sentence with more than one numbers or variables and at least one math operation.

We have,

q + p + q + p + q

There are 3 q and 2 q

Now add the like terms

3q + 2p

Thus the expression we got is 3q + 2p.

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Answer:

72 cm

Step-by-step explanation:

The area (A) of a kite is calculated as

A = [tex]\frac{1}{2}[/tex] × d₁ × d₂ ( d₁ and d₂ are the diagonals )

Here A = 900 and d₁ = 25, thus

[tex]\frac{1}{2}[/tex] × 25 × d₂ = 900 ( multiply both sides by 2 )

25d₂ = 1800 ( divide both sides by 25 )

d₂ = 72 cm

Option (D) Hitting a tennis ball over a net​ describes the rigid motion transformation option (D) is correct.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have a statement:

Which of the following describes a rigid motion transformation?

As we know, geometric transformation also known as rigid transformation is a change in geometry.

Thus, option (D) Hitting a tennis ball over a net​ describes the rigid motion transformation option (D) is correct.

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Answer:

36+15+15+15+15

Step-by-step explanation:

the base is 36, 6x6, and then you do the triangles, 6x5(1/2) which is 15, but there are 4 of them.

Answer:

its A) 36+15+15+15+15

Step-by-step explanation:

Null Hypothesis (H0): p1 - p2 = 0. Alternative Hypothesis (H1): p1 - p2 ≠ 0. Test Statistic: Z-score. 90% confidence interval: (-0.191, 0.291). Conclusion: Fail to reject H0, indicating no significant difference in population proportions.

1) Null Hypothesis (H0): There is no difference between the population proportions (p1 - p2 = 0).

  Alternative Hypothesis (H1): There is a difference between the population proportions (p1 - p2 ≠ 0).

2) Test Statistic: Z-score for two independent proportions.

3) P-value or Critical Value: Z-value for a 90% confidence interval.

4) Concluding Statement: With a 90% confidence interval, we find the difference in population proportions to be between -0.191 and 0.291. Thus, we fail to reject the null hypothesis.

The complete question is:

Construct the indicated confidence interval for the difference between population proportions Assume that the samples are independent and that they have been randomly selected. Be sure to provide the (1) Null & Alternative Hypotheses, (2) Test Statistic, (3) P-value (or critical value), and (4) concluding statements. x1 = 15, n1 = 50 and x2 = 23, n2 = 60; Construct a 90% confidence interval for the difference between population proportions p1 - p2.

Answer:

well im not sure but that's what i got

Step-by-step explanation:

(20)(12)(10)=2400

2400/4= 800

The volume of the given rectangular prism is 2400 cubic inches.

Given that, a rectangular prism dimensions are length = 20 inches, width = 12 inches and height = 10 inches.

A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same.

Volume of a rectangular prism = Area of a base × Height.

Here, Area of a base = length × width

= 20 × 12

= 240 square inches

So, volume = 240 × 10

= 2400 cubic inches

Therefore, the volume of the given rectangular prism is 2400 cubic inches.

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Answer:

(x-10)²+(y+9)²= 324.

Step-by-step explanation:

For this question, you will need to substitute these values into the equation of a circle:

(x-h)²+(y-k)²= r²

'h and k' represent the center points, and 'r' represents the radius.

This will result in:

(x-10)²+(y+9)²=324.

Answer:

Symmetric

Step-by-step explanation:

The data is spread out symmetrically. It isn't uniform because the values aren't around each others values. It isn't skewed because the data isn't 'closer' to one side.

Answer:

symmetric

Step-by-step explanation:

if you put a line down the middle you’ll notice both sides are symmetric, kind of like looking into a mirror

Answer:

250 feet

Step-by-step explanation:

Vertex: (250,300)

Minimum height is 300 when the horizontal distance is 250

Step-by-step explanation:

Step 1:  Find the smallest height

If you look at the graph, you can tell that at 250 feet, the height in feet is the lowest and it is at 250.  Therefore, the vertex is also (250, 250).  But, we are just looking for the x-value which will be 250.

Answer:  Option A, 250 feet... you were correct :)  Good Job

Today: 1 cent.

Since there are 30 days which you double, multiply it by [tex]2^{30} .[/tex]

You get ABOUT 1 billion, or 1,000,000,000

Convert that to dollars (divide by 100), and you get...

Answer:

A Penny Doubled Everyday. Quite a big difference once you look at it as you would be getting over 5 million dollars with the penny doubled everyday for 30 days route.

Step-by-step explanation:

Answer:

12 feet squared.

Step-by-step explanation:

The formula is (A*B)/2. (Remember, multiply first, then divide.)

Based on the vertical angles theorem, the measure of angle 1 is: 48°.

Vertical angles are always directly opposite each other and are formed when two straight lines crosses each other.

In the diagram given, the angle that is directly opposite angle is 48°, since it is an alternate angle to 48° formed on lines m and n (lines k and l are parallel lines).

Therefore:

m∠1 = 48° (vertical angles)

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Answer:

The Answer it's 48 And It corresponds to the 48-degree anglee.

Step-by-step explanation:

On EDGE 2022!

The correct answer is C) 105°.

The sum of the angles in a triangle is 180 degrees. Since we know the measures of two of the angles, we can find the measure of the third angle by subtracting the sum of the first two angles from 180 degrees.

In this case, m∠X + m∠Y = 55° + 75° = 130°.

Therefore, m∠W = 180° - 130° = 50°.

However, the diagram shows angle W as an exterior angle of the triangle. The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles. In this case, the remote interior angles are ∠X and ∠Y.

Therefore, m∠W = m∠X + m∠Y = 55° + 75° = 130°.

Answer Choice Explanation:

A) 20° is too small.

B) 35° is too small.

C) 105° is correct.

D) 130° is too large.

Therefore, the correct answer is C) 105°.

Answer:

x = 2

Step-by-step explanation:

5(x + 1) = 4x + 7

5x + 5 = 4x + 7

x + 5 = 7

x = 2

Answer:

x=2

Step-by-step explanation:

Let's solve your equation step-by-step.

5(x+1)=4x+7

Step 1: Simplify both sides of the equation.

5(x+1)=4x+7

(5)(x)+(5)(1)=4x+7(Distribute)

5x+5=4x+7

Step 2: Subtract 4x from both sides.

5x+5−4x=4x+7−4x

x+5=7

Step 3: Subtract 5 from both sides.

x+5−5=7−5

x=2

Answer:

C features a slope of +4 and a y-intercept of +2

Step-by-step explanation:

Only the middle two answers feature a slope of +4, so eliminate answers A and D.  Answer C features a slope of +4 and a y-intercept of +2

The equation of a line in slope-intercept form for a line with slope 4 and y-intercept at (0, 2) is C. y = 4x + 2.

In the slope-intercept form of a linear equation, y = mx + b, 'm' represents the slope and 'b' represents the y-intercept. If we substitute the given values into this equation, with m = 4 (the slope) and b = 2 (the y-coordinate of the y-intercept), we get y = 4x + 2. So, the correct answer is C. y = 4x + 2.

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Answer: Account A pays more interest. It pays $10 more.

Step-by-step explanation:

The following information can be derived from the question:

Principal= $1000

Account A rate= 5%

Time = 1 year

Interest= (Principal × Rate × Time)/100

= ($1000 × 5 × 1)/100

= $5000/100

= $50

Account A pays interest of $50

Principal= $1000

Account B rate= 4%

Time = 1 year

Interest= (Principal × Rate × Time)/100

= ($1000 × 4× 1)/100

= $4000/100

= $40

Account B pays interest of $40

From the solutions provided, Account A pays more interest. This is calculated as: $50 - $40 = $10

Add [tex]\left(\dfrac{b}{2}\right)^2[/tex] in the expression to make it perfect square.

Important information:

We know that,

[tex](x+y)^2=x^2+2xy+y^2[/tex]

[tex](x+y)^2=a^2+(2y)a+\left(\dfrac{2y}{2}\right)^2[/tex]

It means, we need to add the square of half of the coefficient of x in [tex]x^2+bx[/tex] to make it perfect square, i.e., [tex]\left(\dfrac{b}{2}\right)^2[/tex].

[tex]x^2+bx+\left(\dfrac{b}{2}\right)^2=\left(x+\dfrac{b}{2}\right)^2[/tex]

Therefore, add [tex]\left(\dfrac{b}{2}\right)^2[/tex] in the expression to make it perfect square.

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To complete the square for an expression [tex]x^2+bx[/tex] you divide the coefficient of 'x' by 2, square it, and add and subtract that within the square, which can then be factored to a perfect square trinomial.

Completing the square for an expression of the form [tex]x^2+bx[/tex] involves a process to rewrite the quadratic expression into a form that can be factored as a perfect square trinomial. Here are the steps to do so:

In other words, x^2+bx can be rewritten as [tex][x+(b/2)]^2 - (b/2)^2[/tex]. Here, [tex][x+(b/2)]^2[/tex] is the perfect square trinomial.

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Answer:

The average force applied to the ball is 84N

Step-by-step explanation:

This problem bothers on the impulse of a force

Given data

Mass of ball m= 0.28kg

Initial speed u= 0m/s

Final speed v= 6m/s

Time of impact t= 0.02s

We know that the impulse of a force

Ft= mv-mu

Hence the force is

F= (mv-mu)/t

F=m(v-u)/t

F= 0.28(6-0)0.02

F= 1.68/0.02

F= 84N

Answer: b 39,858,075

Answer:

Answer: b 39,858,075

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

15+f

Let f = 6

15+6 = 21

Answer:

the answer was A m the amount of money in Michael's account

Step-by-step explanation:

Answer: a, the amount of money in Michaels bank account

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Because of the fact that she opened a savings account and deposited $43 you are going to add that to 16x. Why? Because x represents the number of weeks she deposits $16 in her savings account. The y represents the money in her bank account, which is what we are trying to find.

I hope I've helped! Please leave a Thanks and Vote/Rate.

The correct equation representing the amount of money in Toniqua's bank account after x weeks is y = 43 + 16x. It combines the initial deposit of $43 with the $16 added each week multiplied by the number of weeks.

The question asks for an equation that represents the amount of money in Toniqua's bank account, y, after x weeks. Considering that Toniqua starts with a deposit of $43 and then adds $16 each week, the total amount of money after x weeks would be the initial deposit plus the weekly deposit amount times the number of weeks. Therefore, the correct equation would be:

y = 43 + 16x

The initial deposit is a one-time amount, so it does not multiply by the number of weeks, hence the 43 is not multiplied by x. However, the weekly deposit of $16 does multiply by the number of weeks, which gives us the 16x term in the linear equation.

Answer:

x=104

Step-by-step explanation:

x+256=360

x=360-256

x=104

Answer:

Step-by-step explanation:

104

Answer:

True

Step-by-step explanation:

It's a math test so it should be math questions not spelling.

Answer:

F1(x) = 4x-9 Thats the answer

Answer:

c) 32.1y +3.1+2.4y-8.2=34.5y-5.1

Answer:

Isaiah included 50 songs in all of

his playlists.

Step-by-step explanation:

Each playlist has 10 songs. So if you have 2 playlists then you have 10 songs for the first playlist and 10 songs for other playlist.

In this question there are 5 playlists, so 10 + 10 + 10 + 10 + 10 =50 songs.

In mathematics you can multiply to get the answer quickly:

5 * 10 = 50

That is a lot faster and you still get the same result!