a drawer contains 30 pens of various colors: 4 are black 10 are blue, 3 are red, 6 are green , 6 are blue and red and 1 white A pen having blue or red is taken out of the drawer

The 20th prize is $4400.

It is a sequence where the difference between each consecutive terms is the same.

Example:

2, 4, 6, 8 is an arithmetic sequence.

We have,

First prize = $12,000

Successive prize worth $400 less than the preceding prize.

Now,

We can make an arithmetic sequence.

12,000, 11,600, 11,200, ...

So,

a = 12,000

d = -400

The nth term of an arithmetic sequence.

= a + (n - 1)d

So,

The 20th prize.

= 12,000 + (20 -1)400

= 12,000 - 19 x 400

= 12,000 - 7600

= 4400

Thus,

20th prize = $4400

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The correct option regarding who should the restaurant give samples to generate a representative sample is given as follows:

All diners diners who are willing to pay for the samples.

Sampling is a technique for when a group of elements from a population is taken to represent the entire population.

This group of elements has to be representative of the entire population, as to lead to correct conclusions.

In this problem, all the dinners who are willing to pay for the samples should be sampled, as if they are willing to pay, it means that they are interested in the new dish, hence their opinions should be considered as it would improve the restaurant's revenue with the new dish.

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Answer: The answer is 14

Step-by-step explanation:

The range of all \(8\) classes is most affected by class size \(\boldsymbol{14}\).

To understand the calculations, check below

The range of a collection of numbers is the difference between the maximum and smallest values. Subtract the lowest as from highest number in the dispersion to discover it.

True upper limit minus true lower limit of a class interval is known as the class size.

The range of all \(8\) classes is most affected by class size \(\boldsymbol{14}\).

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Answer:

I think B or C

Step-by-step explanation:

I think B or C because it is the closest to 52.8.

Hope this helps you.

The answer is B

Because when you round 52.8 you would get 53 but because 53 isnt an option you would do 54 because 54 is closer to 53 than 50. Then you woukd divide because Alexandra is dividng the bags equally into 9 bags.

The area of the wall that will be painted is 71 1/2 square feet

What is the area?

A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface.

We want to find the area of the wall that will be painted.

We need to find the area of the two windows and subtract it from the area of the wall.

Each window is 3 1 /2 ft by 4 1/2 ft. The area of each window is therefore:

A = L * B

A = 7/2 * 9/2 =  = 63/4 square feet = 15 3/4 square feet

The two windows therefore have an area of:

2 * 63/4 = 63/2 = 31 1/2 square feet.

The wall measures 12 7/8 ft by 8 ft. Therefore, the area of the wall is:

A = 103/8 * 8 = 103 square feet

The area of the wall that will be painted is therefore:

A = 103 - 31 1/2 = 71 1/2 square feet

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Answer:

There are $\boxed{3}$ paths from $A$ to $B.$

Writing 5/x + 1 + 2/3x as a single fraction will result to (17 + 3x)/3x

The expression is written with parameters having unlike terns. The terms consist of the constant term and the variable parameters.

The constant terms are 1

terms with variables are 5/x and 2/3x

adding like terms gives

= 5/x + 2/3x

the LCM of x and 3x is 3x and this will be the common denominator

= (15 + 2) / 3x

= 17/3x

adding both together

= 17/3x + 1

the LCM of 1 and 3x is 3x and this will be the common denominator

= (17 + 3x) / 3x

The single fraction is (17 + 3x) / 3x

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To say with 95% confidence that the percentage of all Florida teenagers think that helping others are in need will be very important to them as adults is likely to be between 80.9% and 87.1%.

The margin of error to find the interval:

margin of error = z × √(p × (1 - p) / n)

z is the z-score corresponding to the desired level of confidence (let's use 95% confidence gives a z-score of 1.96), p is the sample proportion (0.84), n is the sample size (750).

Plugging in the values, we get:

3.1 / 100 = 1.96 × √(0.84 × 0.16 / 750)

Solving for p, we get:

p = 0.84 ± 0.031

So, the interval that is likely to contain the exact percentage of all Florida teenagers think that helping others are in need will be very important to them as adults is:

(0.84 - 0.031) to (0.84 + 0.031)

Simplifies to:

0.809 to 0.871

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Answer:

c = 3

Step-by-step explanation:

Hope it helps and have a great night! =D

~shining stars~

The value of 'c' in the 32^{2c} = 8^{c+7}\(32^{2c} = 8^{c+7}\) is, 3.

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

Addition and subtraction of exponents is only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.

Given, An expression \(32^{2c} = 8^{c+7}\).

Now, To equate the exponents we have to change the bases to the same value.

Therefore, \(32^{2c} = 8^{c+7}\) ⇒ \((2^5)^{2c} = (2^3)^{c+7}\).

5(2c) = 3(c + 7).

10c = 3c + 21.

7c = 21.

c = 3.

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Question:

twenty-four minus the product of three and two

Answer:

➛24-(2×3)

➛24-6

➛18

24-² = -2 × -2 × -2 × -2 × +2

24-³ = Wrong Quiq

Answer:

y= -3/5x+5

Step-by-step explanation:

im not sure if this is right but i know that perpendicular means opposite so basically just swtich the slope and if its positive make it negative, vice versa

Answer:

Step-by-step explanation:

Хз

Answer:

Quarters = 20

Dimes = 14

Step-by-step explanation:

Dime = x = 10 cent = $0.1

Quarter = y = 25 cent = $0.25

x + y = 34 - - - (1)

0.1x + 0.25y = 6.40 - - - - (2)

From (1)

x = 34 - y

0.1(34 - y) + 0.25y = 6.40

3.4 - 0.1y + 0.25y = 6.40

3.4 + 0.15y = 6.40

0.15y = 6.40 - 3.40

0.15y = 3

y = 3 / 0.15

y = 20

x = 34 - y

x = 34 - 20

x = 14

Quarters = 20

Dimes = 14

The probability that at least 22 out of 25 computers will work in good condition is approximately 0.0250, or 2.5%.

To calculate the probability that at least 22 out of 25 computers will work in good condition, we can use the binomial distribution formula.

The binomial distribution formula is given by:

\(P(X = k) = C(n, k) \times p^k \times (1 - p)^{(n - k)\)

Where:

P(X = k) is the probability of getting exactly k successes,

C(n, k) is the number of ways to choose k items from a set of n items (also known as the binomial coefficient),

p is the probability of success on a single trial, and

n is the total number of trials.

In this case, n = 25 (the total number of computers selected), k ranges from 22 to 25 (at least 22 working computers), and p = 0.89 (probability of a computer working, which is 1 - 0.11).

Let's calculate the probability using these values:

P(X ≥ 22) = P(X = 22) + P(X = 23) + P(X = 24) + P(X = 25)

\(P(X = k) = C(25, k) \times 0.89^k \times 0.11^{(25 - k)\)

\(P(X = 22) = C(25, 22) \times 0.89^{22} \times 0.11^3\)

\(P(X = 23) = C(25, 23) \times 0.89^{23} \times 0.11^2\)

\(P(X = 24) = C(25, 24) \times 0.89^{24} \times 0.11^1\)

\(P(X = 25) = C(25, 25) \times 0.89^{25} \times 0.11^0\)

Calculate the binomial coefficients, we can find:

P(X = 22) ≈ 0.0210

P(X = 23) ≈ 0.0038

P(X = 24) ≈ 0.0002

P(X = 25) ≈ 0.0000

Finally, summing up these probabilities:

P(X ≥ 22) ≈ 0.0210 + 0.0038 + 0.0002 + 0.0000

≈ 0.0250

Therefore, the probability that at least 22 out of 25 computers will work in good condition is approximately 0.0250, or 2.5%.

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Answer:

x=3

Step-by-step explanation:

Answer:

its D

Step-by-step explanation:

In a right triangle the hypotenuse which is 16+9 =25 has to be the largest side.  Since x is not the hyportenuse it has to be lower which only leaves one answer : 15

Answer:

Step-by-step explanation:

these are tough to solve  , don't feel bad.   soo part of the trick is that the two side set  up similar triangles, then  

16 / y  = y /9     ( the two triangles

16* 9 = \(y^{2}\)

144 = \(y^{2}\)

12 = y

y is the length between the two triangles , so since we now know that part, we can solve the triangles.

lets use tan to solve one of the angles of the smaller triangle

TOA  to remember how tan fits on a triangle

Tan = Opp / Adj

Tan(Ф) = 9/12

Ф = arcTan(9/12)

Ф = 36.869897

knowing that we can solve for x

use CAH   cos = Adj / Hyp

Cos(36.869897) = 12 /  Hyp

Hyp = 12/ Cos(36.869897)

Hyp = 15   :)  that seems reallly good ..  :P

x = 15   there you go  

Given the length of arc GH = 22π/3.To determine the mGH, we need to use the formula for the arc length of a circle.

The formula is given as follows;Length of arc L = (m/360) × 2πrWhere m is the central angle subtended by the arc, r is the radius of the circle.Given arc length of GH = 22π/3For the circle whose central angle GH subtends 360°;Length of arc L = (m/360) × 2πr22π/3 = (m/360) × 2π × rLet's cancel out 2π on both sides by dividing:22π/3 ÷ 2π = m/36011/3 = m/360Multiplying by 360 on both sides;11/3 × 360 = m11 × 120 = mTherefore, m = 132.So, mGH = 132°.Thus, the value of mGH is 132 degrees.

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The measure of the central angle mGH is 220°, so the correct option is (D). 220°.

We know that the circumference of a circle is given by:

Circumference = 2πr ---------(1)

And the formula to find the length of the arc of a sector is given by:

Length of an arc of a sector = (m/360) × 2πr ---------(2)

Using equation (2), we can find the measure of the central angle m:

m = (Length of an arc × 360) / (2πr) ---------(3)

Let us substitute the given values in equation (3):

Length of an arc GH = 22π/3

The radius of the circle is not given, so we can assume any value of r.

Let us assume r = 3.14 (approximately equal to π) to simplify our calculation.

mGH = (22π/3 × 360) / (2π × 3.14) = 220°

Therefore, mGH = 220°.

In conclusion, the measure of the central angle mGH is 220°, which corresponds to option (D) as the correct answer.  

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Answer: 36 hours

Step-by-step explanation: Plz mark me brainlest

3/4 divided by 1/48

KCF

3/4*48/1= 144/4= 36

The Total number of hours required to repave the whole road is 36.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

The Total length of the road that needs to be repaved =  3/5 miles

The Total length of the road which is repaved by the road crew per hour = 3/5  miles

The Total number of hours required to repave the whole road

= (Length of the road  to be repaved)/(Length of the road repaved by the crew per hour)

= 3/4 divided by 1/48

= 3/4*48/1= 144/4

= 36

Hence, The Total number of hours required to repave the whole road is 36.

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Hello!

What is the standard form of the parabola:

 \(\hookrightarrow y=(x-h)^2+k\)

          => h: x-coordinate of vertex

          => k: y-coordinate of vertex

Since our vertex is (1,-8)

 \(\hookrightarrow \text{Our equation is }y=(x-1)^2}-8\)  <== Answer

Hope that helps!

The absolute maximum value of the function f(x) is 154, which occurs at x = -2.The absolute minimum value of the function f(x) is -358, which occurs at x = 4.

To find the absolute maximum and absolute minimum values of f on the given interval f(x) = 6x3 − 18x2 − 54x + 2, [−2, 4], we need to calculate the derivative of the given function f=18x^2-36x-54

Therefore, f '(x) = 18x^2-36x-54.

We need to solve f '(x) = 0 for x to get the critical numbers.18x^2-36x-54=0

By dividing the equation by 18, we get

x^2-2x-3=0

By solving the above equation, we get two critical numbers as follows:

x = 3, -1.

We must now find the function values at the critical numbers we just found and at the endpoints of the interval [−2, 4].Now, we can find the function values:

f(-1) = 6(-1)^3 − 18(-1)^2 − 54(-1) + 2 = 80.

f(3) = 6(3)^3 − 18(3)^2 − 54(3) + 2 = -176.

f(-2) = 6(-2)^3 − 18(-2)^2 − 54(-2) + 2 = 154.

f(4) = 6(4)^3 − 18(4)^2 − 54(4) + 2 = -358.

The absolute maximum value of the function f(x) is 154, which occurs at x = -2.The absolute minimum value of the function f(x) is -358, which occurs at x = 4.

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The statement, "Under consent once removed-exception, officers cannot make a "warrantless-entry" to arrest suspect" is False because officers can make a warrantless entry.

This exception allows law enforcement officers to rely on the consent initially given by the suspect to the undercover officer or informant as a basis for making a warrantless entry to effectuate an arrest.

The rationale behind this exception is that the suspect's consent remains valid even if it was given to someone acting undercover or in an informant capacity.

Therefore, the statement that officers cannot make a warrantless entry under the consent once removed exception is false.

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Answer:

none of the above

Step-by-step explanation:

it should be: 9.70/5 = 11/x

Answer:

e

Step-by-step explanation:

Approximately 53.47% of prospective employees who test positive actually use illegal drugs.

we will use a tree diagram and the given information: 6% of prospective employees actually use illegal drugs, the false positive rate is 5%, and the false negative rate is 10%.
Step 1: Draw a tree diagram:
- First level: divide into two branches, one for "Uses Drugs (6%)" and one for "Does Not Use Drugs (94%)".
- Second level: under "Uses Drugs", divide into two branches, "Tests Positive (90%)" and "Tests Negative (10%)". Under "Does Not Use Drugs", also divide into two branches, "Tests Positive (5%)" and "Tests Negative (95%)".
Step 2: Calculate the probabilities:
- Probability of using drugs and testing positive: 0.06 * 0.9 = 0.054
- Probability of not using drugs and testing positive: 0.94 * 0.05 = 0.047
Step 3: Determine the percentage of prospective employees who test positive and actually use illegal drugs:
- Add the probabilities of testing positive (both using and not using drugs): 0.054 + 0.047 = 0.101
- Divide the probability of using drugs and testing positive by the total probability of testing positive: 0.054 / 0.101 ≈ 0.5347
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Answer:

r≈12mi

Step-by-step explanation:

mark brainiest and Im 100% correct

Answer:

follow the steps and you'll understand the question

Answer: X = 6

Step-by-step explanation:

Answer:

$6.75 Per pound

Step-by-step explanation:

2.25 = 1/3

2.25 + 2.25 = 2/3

2.25 + 2.25 + 2.25 = 6.75 / 3/3