Jenna's Tea Shop has caffeinated tea and decaffeinated tea. The tea shop served 36 caffeinated teas and 39 decaffeinated teas. What percentage of the teas served were caffeinated?

The prοbability οf exactly 3 successes in 6 trials οf a binοmial experiment with a prοbability οf success οf 75% is 31.1%, rοunded tο the nearest tenth οf a percent.

Prοbability is the study οf the chances οf οccurrence οf a result, which are οbtained by the ratiο between favοrable cases and pοssible cases.

Tο find the prοbability οf exactly 3 successes in 6 trials οf a binοmial experiment, we use the fοrmula:

The prοbability οf r successes in n trials is [tex]\rm _nC_r(p)^r(q)^{n-r[/tex], where p is the prοbability οf success οn a given trial and q = 1-p.

In this prοblem, n = 6, r = 3, p = q = 0.75

Sο, P(3 successes in 6 trials) = [tex]\rm _6C_3(0.75)^3(0.75)^3[/tex] =  0.13184 ≈ 13.2%

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Problems:

Solve for x: 2x - 5 > 9x + 2

Solve for x: 3x + 2 < 7x - 5

Solve for x: 4x + 3 < 2x - 1

Solve for x: -2x - 4 > -8x + 3

Solve for x: 5x + 1 < 2x + 7

Answers:

x < -0.7

x > 1.75

x < -1

x < 0.875

x < 1.2

Answer:  

Example 1

Solve 3x − 5 ≤ 3 − x.

Solution

We start by adding both sides of the inequality by 5

3x – 5 + 5 ≤ 3 + 5 − x

3x ≤ 8 – x

Then add both sides by x.

3x + x ≤ 8 – x + x

4x ≤ 8

Finally, divide both sides of the inequality by 4 to get;

x ≤ 2

Example 2

Calculate the range of values of y, which satisfies the inequality: y − 4 < 2y + 5.

Solution

Add both sides of the inequality by 4.

y – 4 + 4 < 2y + 5 + 4

y < 2y + 9

Subtract both sides by 2y.

y – 2y < 2y – 2y + 9

Y < 9 Multiply both sides of the inequality by −1 and change the inequality symbol’s direction. y > − 9

Solving linear inequalities with subtraction

Let’s see a few examples below to understand this concept.

Example 3

Solve x + 8 > 5.

Solution

Isolate the variable x by subtracting 8 from both sides of the inequality.

x + 8 – 8 > 5 – 8 => x > −3

Therefore, x > −3.

Example 4

Solve 5x + 10 > 3x + 24.

Solution

Subtract 10 from both sides of the inequality.

5x + 10 – 10 > 3x + 24 – 10

5x > 3x + 14.

Now we subtract both sides of the inequality by 3x.

5x – 3x > 3x – 3x + 14

2x > 14

x > 7

Solving linear inequalities with multiplication

Let’s see a few examples below to understand this concept.

Example 5

Solve x/4 > 5

Solution:

Multiply both sides of an inequality by the denominator of the fraction

4(x/4) > 5 x 4

x > 20

Step-by-step explanation:

Hope this helps :3

The area of the region in which the burro can graze will be 833 pi square feet.

Each interior vertex angle of a regular hexagon is (n - 2)·180°/n  =  (6 - 2)·180°o/6  =  120°

I'll break up the area into three sections.

There is one major section, going 150' along one side in a circular arc to 150' along the adjacent side.

Since the interior angle is 120°, the exterior angle will be 240°.

The area of this section will be:  (240°/360°)·pi·radius2  =  (2/3)·pi·1502  =  15,000 pi

Then, on each end, around the corner of the barn, the goat can go in a circular arc with radius = 50'.

This angle will be 60°, or one-sixth or a circle.

The area of each section will be (1/6)·pi·502  =  416 2/3 pi

Total area:  15,000 pi + 416 2/3 pi + 416 2/3 pi  =  833 1/3 pi square feet.

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Answer:

The surface area of the soup can is given by the formula:

SA = 2πr² + 2πrh

where r is the radius of the circular ends of the can, h is the height of the can, and π is approximately 3.14.

The radius of the can is half of the diameter, so r = 4.5 cm.

Therefore, the surface area of the can is:

SA = 2π(4.5)² + 2π(4.5)(11)

SA = 2π(20.25) + 2π(49.5)

SA = 40.5π + 99π

SA = 139.5π

Approximating π as 3.14, we get:

SA ≈ 139.5 × 3.14

SA ≈ 438.03 cm²

Therefore, at least 438.03 square centimeters of paint are needed to cover the can.

So, the answer is 438.03 cm2.

I Hope This Helps!

Answer:

Step-by-step explation: Revised 8/15. F001. Surface area of a pond, acres = Length, ft x Width, ft. 43560. F002. Volume

Answer:  d.  25 square inches

Step-by-step explanation:

Answer:

81 is the answer

Step-by-step explanation:

87-6 range is highest and lowest number subtracted hope this helps:)

Answer:

e

Step-by-step explanation:

Hence, the simplified expression for the area of a rectangle in standard form is 8x³ + 2x² - 12x - 3.

Having four sides, four corners, & four right angles (90°), a rectangle is an enclosed 2-D shape. A rectangle has four equal and parallel opposite sides. Having length and width as its two dimensions, a rectangle is a two-dimensional form. The length and breadth of a rectangle are determined by its longer and shorter sides, respectively.

The equation A = length x width determines the area of a rectangle. When we replace the provided length and width expressions, we obtain:

A = (4x + 1) (2x² - 3)

By combining like terms and the distribution property of multiplication, we may make this expression simpler:

A = 8x³ - 12x + 2x² - 3

A = 8x³ + 2x² - 12x - 3

So, the area of the rectangle as a simplified expression in standard form is 8x³ + 2x² - 12x - 3.

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The solution of the equation is x = 2. If we had multiplied both sides by a different number, such as 3 or -4.

What is solution of the equation ?

The solution of an equation is the value(s) of the variable(s) that make the equation a true statement. In other words, it is the value(s) that satisfy the equation.

For example, consider the equation 3x + 4 = 13. To find the solution, we need to determine the value of x that makes the equation true. the solution of the equation 3x + 4 = 13 is x = 3.

According to the question:
The first statement, "Both sides of an equation can be multiplied by the same number without changing the solution of the equation" is always true.

Example: Consider the equation 3x = 6. If we multiply both sides of this equation by 2, we get:

2 * 3x = 2 * 6

6x = 12

The solution of the equation is x = 2. If we had multiplied both sides by a different number, such as 3 or -4, we would still get the same solution.

The second statement, "A number can be added to both sides of an equation changing the solution of the equation" is sometimes true.

Example: Consider the equation 2x = 4. If we add 3 to both sides of the equation, we get:

2x + 3 = 4 + 3

2x + 3 = 7

The solution of the equation is x = 2.5. Adding 3 to both sides did not change the solution.

However, if we add a number that is equal to or related to the variable, the solution will change. For example, if we add x to both sides of the equation 2x = 4, we get:

2x + x = 4 + x

3x = 4 + x

The solution of the equation is x = 4/2 = 2, which is different from the previous solution of x = 2. Therefore, the statement "A number can be added to both sides of an equation changing the solution of the equation" is sometimes true, depending on the number being added.

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Answer:

# rad u cant take 67 from it its going 35 mps

Step-by-step explanation:

Answer:

the total mass of the 250 objects is 1.3 kilograms.

Step-by-step explanation:

To find the total mass of the 250 objects, we need to multiply the mass of each object by the number of objects:

Total mass = mass per object x number of objects

The mass per object is given as 5.2x10^-3 kg, and the number of objects is 250. So, we can calculate the total mass as follows:

Total mass = 5.2x10^-3 kg x 250

Total mass = 1.3 kg

, in the presented question, we can conclude that Interval   [tex](0, 1): f(0) 5, f(1) -3[/tex], indicating that the function switches signs and has a zero in the interval  [tex](0, 1).[/tex]

Interval  [tex](4, 3): f(-4) -41, f(-3) 5,[/tex]therefore, the function reverses its sign and has a zero in the interval  [tex](-4, -3).[/tex]

Interval  [tex](3, 2): f(-3) 5, f(-2) -9,[/tex] indicating that the function changes sign and has a zero in the interval  [tex](-3, -2).[/tex]

Interval [tex](2, 1): f(-2) -9, f(-1) 1[/tex], therefore the function reverses its sign and has a zero in the interval  [tex](-€2, -1).[/tex]

Interval [tex](1, 0): f(-1) 1, f(0) 5[/tex], so the function does not change sign and the interval may or may not contain a zero [tex](-1, 0).[/tex]

Interval  [tex](0, 1): f(0) 5, f(1) -3,[/tex] indicating that the function switches signs and has a zero in the interval  [tex](0, 1).[/tex]

Therefore, in the presented question, we can conclude that Interval   [tex](0, 1): f(0) 5, f(1) -3[/tex], indicating that the function switches signs and has a zero in the interval  [tex](0, 1).[/tex]

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The statement that is true, given that ΔCBX ≅ ΔSML, would be G. XC ≅ ML.

Given that ΔCBX ≅ ΔSML, we can use the properties of congruent triangles to determine which statement is true. The correspondence between the vertices of the two triangles is as follows:

C ↔ S

B ↔ M

X ↔ L

XC ≅ ML is true because XC corresponds to the side connecting vertices X and C in ΔCBX, and ML corresponds to the side connecting vertices M and L in ΔSML. Since the triangles are congruent, their corresponding sides are congruent.

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Answer:

396 in²

Step-by-step explanation:

To answer this question we need to use pythagorean theorem (a² + b² = c²)

In our case, a would be 14 and b would be 17

Now we have to multiply this by 18

Which rounded would be 396

Hope this helps, have a lovely day! :)

Answer:

the possible answers are 80 and 140

Step-by-step explanation:

since one angle has a measure of 20 in isosceles triangle let this be vertex angle and other two as base angles then

in isosceles triangle base angles must be equal to each other so

x+x+20 = 180

2x+20 = 180

2x = 160

x=80

so the base angles are equal to 80

now if you suppose 20 as base angle then other base angle should also be 20 since it is an isosceles triangle and the vertex angle can be calculated as

20+20 + x = 180

x = 140

Answer:

8*7=56 + 8*3=24 = 80_squared

Step-by-step explanation:

The singer sold 512 music downloads.

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For illustration, 2x - 5 = 13. 2x - 5 and 13 are expressions in this case. These two expressions are joined together by the sign "=".

Let's use the following variables:

CD = the number of CD singles sold

DL = the number of music downloads sold

From the problem, we know the following:

CD + DL = total number of singles sold

CD = 456

The profit from selling CD singles is 35p = £0.35 per CD single

The profit from selling music downloads is 17p = £0.17 per music download

The total profit is £246.64

Using the information above, we can set up two equations based on the profits earned from selling CD singles and music downloads:

0.35 * CD = profit from CD sales

0.17 * DL = profit from download sales

And we know that the sum of these two profits equals the total profit:

0.35 * CD + 0.17 * DL = 246.64

Substituting CD = 456, we get:

0.35 * 456 + 0.17 * DL = 246.64

Simplifying this equation, we get:

159.6 + 0.17 * DL = 246.64

0.17 * DL = 87.04

DL = 512

Therefore, the singer sold 512 music downloads.

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Evaluating the linear equation in x = 19 we can see that the temperature was 5.76 degrees, so your answer is correct.

Here we have a linear equation that relates the wind temperature with the wind's velocity.

The linear equation is:

y = -0.36*x + 12.6

Where y is the temperature and x is the wind speed. We want to find the temperature when the speed is 19 miles per hour, to get it, just replace x by 19 in the linear equation above, then we will get:

y = -0.36*19 + 12.6

y = -6.84 + 12.6

y = 5.76

So your answer is correct.

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Answer:32+ 1.21

Step-by-step explanation:

if you really want an awser you would take all the nubers and sfhgkjfqipjghwpkrejvhbwptijgbqkejnvwpigtnjuvrepiufgnjwrekjbhartio

The estimated value of cos(48) by using tangent line is found to be

0.99989.

A straight line which thus touches a function only once is called a tangent line.

The first step is to calculate y when x=π/4. We will receive that target coordinate point as a result.

The required coordinate point is ( π/ 4, √(2) / 2)

The derivative of such function y is then discovered.

y ' = -sin(x)

Input the derivative with the value of x. This corresponds to the tangent line's slope.

y' = -sin(π/4)

y' = - √(2) / 2

The slope plus coordinate point are now entered into the gradient intercept form of the formula to obtain b.

y = mx + b

√(2) / 2 = (-√(2) / 2)(π / 4) + b

√(2) / 2 = (-π√(2) / 8) + b

(√(2) / 2) + (π√(2) / 8) = b

[4√(2) + π√(2)] / 8 = b

[(4 + π)√(2)] / 8 = b

The tangent line comes out to be:

y = (-√(2) / 2)x + [(4 + π)√(2) / 8]

Now , for cos(48).

48° = π/180 * 48 radians

48° = 3.14/180 * 48  radians

48° = 0.01744*48 radians

48° = 0.83712 radians

So,  cos(48) =  cos(  0.83712 )

Using scientific calculator:

cos(48) =  cos(  0.83712 )  = 0.99989

Thus, the estimated value of cos(48) by using tangent line is found to be

0.99989.

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The solution set of the equation x^2+3x-4=6 is {-5, 2}.

The answer of the given question are as follows :-

Para encontrar el conjunto de soluciones de la ecuación x^2+3x-4=6, debemos primero llevarla a su forma canónica. Restando 6 de ambos lados, obtenemos:

x^2+3x-10=0

Luego, podemos resolver esta ecuación utilizando la fórmula cuadrática:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

donde a = 1, b = 3, y c = -10.

Reemplazando estos valores, obtenemos:

x = (-3 ± sqrt(3^2 - 4(1)(-10))) / 2(1)

x = (-3 ± sqrt(49)) / 2

x = (-3 ± 7) / 2

x1 = 2

x2 = -5

Por lo tanto, el conjunto de soluciones de la ecuación x^2+3x-4=6 es {-5, 2}.

Translation in english :-

To find the solution set of the equation x^2+3x-4=6, we must first bring it to its standard form. Subtracting 6 from both sides, we get:

x^2+3x-10=0

Then, we can solve this equation using the quadratic formula:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 1, b = 3, and c = -10.

Substituting these values, we get:

x = (-3 ± sqrt(3^2 - 4(1)(-10))) / 2(1)

x = (-3 ± sqrt(49)) / 2

x = (-3 ± 7) / 2

x1 = 2

x2 = -5

Therefore, the solution set of the equation x^2+3x-4=6 is {-5, 2}.

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Answer: To solve this problem, we can use the formula for simple interest:

I = P * r * t

where I is the interest earned, P is the principal, r is the interest rate as a decimal, and t is the time in years.

We are given that the interest rate is 1.95% = 0.0195, the time is 30 years, and the final amount in the account is $800. Let P be the principal we are trying to find.

First, we can use the formula to find the total interest earned over the 30-year period:

I = P * r * t

I = P * 0.0195 * 30

I = 0.585P

Next, we can use the fact that the final amount in the account is the sum of the principal and the interest:

800 = P + 0.585P

800 = 1.585P

P = 504.71

Therefore, the principal was $504.71 and the interest earned over the 30-year period was:

I = 0.585P

I = 0.585 * 504.71

I = 294.29

So the interest earned was $294.29.

Step-by-step explanation:

The volume of the cone is  2119. 5 cubic centimeters

The formula used for calculating the volume of a cone is expressed as;

V = πr² h/3

Given that the parameters are namely;

Now, substitute the values, we have;

Volume , V = 3.14 × 15² × 9/3

Divide the values, we have;

Volume = 3.14 × 225 × 3

Multiply the values, we get;

Volume, V = 2119. 5 cubic centimeters

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Answer: A prime number is a positive integer greater than 1 that has no positive integer divisors other than 1 and itself. In other words, a prime number is a number that is only divisible by 1 and itself.

Step-by-step explanation:

For example, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, and so on, are prime numbers because they can only be divided by 1 and themselves without any remainder.

However, 4 is not a prime number because it can be divided by 1, 2, and 4, and 6 is not a prime number because it can be divided by 1, 2, 3, and 6.

Answer:

A prime number is a number that can be multiplied by one and itself~
eg- 2,3,5,7,11
Let me know if this helps

The reduced price of the swimsuit is $28.05 being obtained by using the mark down  value and selling price of the product.

Explain Pricing?

A price technique that allows for discussion between the supplier and the buyer is flexible pricing. The supplier does not provide a fixed price while using this tactic. They decide on a price range in advance so that they can haggle with the customer. A vendor will have a minimum number they can take and a maximum number they may charge when using flexible pricing.

Using the formula M=S-N, where M is the mark down, S is the original selling price, and N is the reduced price, we can find the reduced price of each swimsuit as follows:

M = $17.90

S = $45.95

N = S - M

N = $45.95 - $17.90

N = $28.05

Therefore, the reduced price of each swimsuit is $28.05.

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