A restaurant offers delivery for their pizzas. The total cost is a delivery fee added to the price of the pizzas. One customer pays $35 to have 2 pizzas delivered. Another customer pays $68 for 5 pizzas. How many pizzas are delivered to a customer who pays $101? 10

Answer:

D is 90 E is 81 F is 99

Step-by-step explanation:

D is 90 because a straight angle equals 180 degrees. E is 81 because it is directly across from 81. F is 99 because 180-81 is 99

The area under the normal curve between the 20th and 70th percentiles is then calculated as Area = CDF(z₂) - CDF(z₁)

To find the area under the normal curve between the 20th and 70th percentiles, we need to determine the corresponding z-scores for these percentiles and then calculate the area between these z-scores.

The normal distribution is characterized by its mean (μ) and standard deviation (σ). In order to calculate the z-scores, we need to standardize the values using the formula:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation.

First, let's find the z-score corresponding to the 20th percentile. Since the normal distribution is symmetrical, the 20th percentile is the same as the lower tail area of 0.20. We can use a standard normal distribution table or statistical software to find the z-score associated with this area.

Let's assume that the z-score corresponding to the 20th percentile is z₁.

Next, we find the z-score corresponding to the 70th percentile. Similarly, the 70th percentile is the same as the lower tail area of 0.70. Let's assume that the z-score corresponding to the 70th percentile is z₂.

Once we have the z-scores, we can calculate the area between these z-scores using the cumulative distribution function (CDF) of the standard normal distribution. The CDF gives us the area under the curve up to a particular z-score.

The area under the normal curve between the 20th and 70th percentiles is then calculated as:

Area = CDF(z₂) - CDF(z₁)

where CDF(z) is the cumulative distribution function evaluated at z.

It is important to note that the CDF values can be obtained from standard normal distribution tables or by using statistical software.

In summary, to find the area under the normal curve between the 20th and 70th percentiles, we follow these steps:

Determine the z-score corresponding to the 20th percentile (z₁) and the z-score corresponding to the 70th percentile (z₂).

Calculate the area using the formula: Area = CDF(z₂) - CDF(z₁), where CDF(z) is the cumulative distribution function of the standard normal distribution evaluated at z.

By performing these calculations, we can determine the area under the normal curve between the specified percentiles.

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Answer:

hope it helps.

Answer:

x = 65 degrees

Step-by-step explanation:

x° + x° + 50° = 180°

2x + 50° = 180°

2x = 180° - 50°

2x = 130°

x = 130°/2

x = 65°

Step-by-step explanation:

in the morning, 222k + 111d

in the evening, 222k + 111d

grams, g = 444k + 222d

A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. A prime number can only be divided evenly by 1 and itself.

To find the multiples of a prime number, you can use the following steps:

For example, if the prime number is 5, the multiples of 5 are 5, 10, 15, 20, 25, and so on.

It's important to note that a prime number only has two divisors: 1 and itself. This means that a multiple of a prime number will never be a prime number.

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The final speed v2 is √6 times the initial speed v1, when the net force is 2f1 and the object moves the same distance d while the force is being applied.

We can use the work-energy theorem to solve this problem, which states that the work done on an object by a net force is equal to the change in its kinetic energy.

When the force has magnitude f1 and the object moves a distance d, the work done is:

W = f1 * d

This work changes the kinetic energy of the object from zero to (1/2) * m * v1^2, where m is the mass of the object. Therefore, we have:

f1 * d = (1/2) * m * v1^2

Solving for v1, we get:

v1 = sqrt((2 * f1 * d) / m)

Now, when the net force has magnitude f2 = 2f1 and the object moves the same distance d, the work done is:

W = f2 * d = 2f1 * d

This work changes the kinetic energy of the object from (1/2) * m * v1^2 to (1/2) * m * v2^2, where v2 is the final speed of the object. Therefore, we have:

2f1 * d = (1/2) * m * (v2^2 - v1^2)

Solving for v2, we get:

v2 = sqrt(v1^2 + (4 * f1 * d) / m)

Substituting the expression for v1, we get:

v2 = sqrt((4 * f1 * d) / m + (2 * f1 * d) / m)

Simplifying, we get:

v2 = sqrt(6) * v1

Therefore, the final speed v2 is sqrt(6) times the initial speed v1.

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Answer:

y= 2/3 x + 4

y- intercept= (0,4)

and slope of the line is 2/3

Answer:

B.

Step-by-step explanation:

y = mx + b

The y-intercept is the point (0, 4), so you get b = 4

You now have

y = mx + 4

Now start at the y-intercept, (0, 4). Go up 2 units and right 3 units to a point on the line; rise = 2; run = 2.

slope = m = rise/run = 2/3

Now you have

y = 2/3 x + 4

Answer: B.

Answer:

15

Step-by-step explanation:

To solve, you must substitute 5 in for a and 2 in for b.

5+5(2)

Multiply.

5+10

Add.

15

Answer:

10

Step-by-step explanation:

\(\\ \rm\longmapsto Speed=\dfrac{Distance}{Time}\)

\(\\ \rm\longmapsto Speed=\dfrac{800}{10}\)

\(\\ \rm\longmapsto Speed=80km/h\)

\(\\ \rm\longmapsto Distance=Speed(Time)\)

\(\\ \rm\longmapsto Distance=80(14)\)

\(\\ \rm\longmapsto Distance=1120km\)

We can see that right side is equal to the left side by converting the left side into sines and cosinesso the identity is verified. Therefore, we have 5 cot(x)/sec(x) = 5 csc(x) − 5 sin(x), is true for all values of x where the expressions are defined.

To verify the identity 5 cot(x)/sec(x) = 5 csc(x) − 5 sin(x), we need to find a common denominator, which is sin(x). Multiplying the first term by sin(x)/sin(x), we get:
(5sin(x))/sin(x) - 5sin(x)
= 5 - 5sin^2(x)/sin(x)
= 5cos^2(x)/sin(x)

To verify the identity 5cot(x)/sec(x) = 5csc(x) - 5sin(x), we will convert the left side into sines and cosines and simplify at each step.
Step 1: Replace cot(x) and sec(x) with their equivalent expressions in terms of sine and cosine.
cot(x) = cos(x)/sin(x)
sec(x) = 1/cos(x)

5cot(x)/sec(x) = 5(cos(x)/sin(x)) / (1/cos(x))

Step 2: Simplify the expression by multiplying the numerator and denominator by cos(x).
5(cos(x)/sin(x)) * (cos(x)/1) = 5(cos^2(x)/sin(x))

Step 3: Use the Pythagorean identity: sin^2(x) + cos^2(x) = 1
Replace cos^2(x) with 1 - sin^2(x).
5(1 - sin^2(x))/sin(x)

Step 4: Distribute the 5 through the expression.
5 - 5sin^2(x)/sin(x)

Step 5: Replace 5sin^2(x)/sin(x) with 5sin(x).
5 - 5sin(x)

Now we see that the left side has been simplified to 5csc(x) - 5sin(x), which is the same as the right side. Therefore, the identity is verified:
5cot(x)/sec(x) = 5csc(x) - 5sin(x)

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An isotope with z > 83, which lies close to the band of stability, will generally decay through decay.

Therefore, an isotope with z > 83, which lies close to the band of stability, will generally decay through decay.

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1.a The probability of throwing at most 2 heads in 5 throws is more probable.

1.b A total of 2^4 = 16 outcomes.

1.c The probability of selecting a black ball, a red ball, and then another black ball is 5/56.

1a. Probability of throwing exactly 15 heads in 20 throws

Probability of getting a head is p = 0.65, and the probability of getting tails is q = 1 - 0.65 = 0.35.

Let X be the random variable which counts the number of heads in 20 throws.

Then X follows the binomial distribution B(20, 0.65).P(X = 15) = 20C15 * 0.65^15 * 0.35^5= 0.16

Probability of throwing at most 2 heads in 5 throws

Let Y be the random variable which counts the number of heads in 5 throws.

Then Y follows the binomial distribution B(5, 0.65).P(Y ≤ 2) = P(Y = 0) + P(Y = 1) + P(Y = 2)

                                                                                                  = 0.01 + 0.08 + 0.25

                                                                                                  = 0.34

Therefore, the probability of throwing at most 2 heads in 5 throws is more probable.

1b. Suppose we flip a fair coin 4 times.

For what combination(s) do there exist exactly 3 permutations?

There are a total of 2^4 = 16 outcomes.

The combinations that exist in exactly 3 permutations are HTTH, HTHT, THHT, THTH, and HHTT.

1c. Probability of selecting a black ball, a red ball, and then another black ball We want to compute the probability of pulling out 3 balls, without replacement, from a box with 5 red balls and 3 black balls.

The total number of ways of pulling out 3 balls is 8C3.

The probability of pulling out a black ball on the first draw is 3/8.

The probability of pulling out a red ball on the second draw is 5/7.

The probability of pulling out another black ball on the third draw is 2/6 = 1/3.

So, the required probability is (3/8) * (5/7) * (1/3) = 5/56.

Therefore, the probability of selecting a black ball, a red ball, and then another black ball is 5/56.

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Answer:

n=4

Step-by-step explanation:

3n - (2+n) = 6

Distribute the minus sign

3n -2-n = 6

Combine like terms

2n-2 =6

Add 2 to each side

2n-2+2 = 6+2

2n = 8

Divide by 2

2n/2 = 8/2

n=4

By examining the graph and comparing the slopes of the lines representing the students' puzzle-solving times, we can identify which line corresponds to Student A (the one with the steeper slope) and which line corresponds to Student B (the one with the less steep slope).

To determine which line represents Student A and which line represents Student B, we need to analyze the information provided about their puzzle-solving improvement. Since Student A improves their times faster than Student B, we can infer that Student A's rate of improvement is higher than that of Student B.

When we graph the puzzle-solving times over the course of their practice, Student A's line will have a steeper slope compared to Student B's line. The slope represents the rate of change, so a steeper slope indicates a faster rate of improvement.

Let's consider the graph where the x-axis represents the number of practice sessions and the y-axis represents the time taken to solve the puzzles. As the students gain more practice sessions, their puzzle-solving times decrease, indicating improvement.

If we observe the graph, we will see that the line with the steeper slope, showing a more rapid decrease in puzzle-solving times, represents Student A. This means that Student A is improving at a faster rate compared to Student B. The line with the less steep slope represents Student B, indicating a slower rate of improvement.

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The probability that if a random person is chosen from the group of lawyers, the person will be a liar is 38/45, or 0.84.

As a fraction: The probability is given as 38/45, which means that out of 45 people chosen randomly from the group of lawyers, 38 of them are expected to be liars.

As a decimal: To express the probability as a decimal, we divide the numerator (38) by the denominator (45):

38 ÷ 45 ≈ 0.8444444444444444

Rounded to two decimal places, this would be approximately 0.84.

As a percentage: To express the probability as a percentage, we multiply the decimal form by 100:

0.8444444444444444 * 100 ≈ 84.44%

Rounded to two decimal places, this would also be approximately 84.44%.

So, the probability that if a random person is chosen from the group of lawyers, the person will be a liar can be expressed as 38/45 as a fraction, approximately 0.84 as a decimal, or approximately 84.44% as a percentage.

This can be expressed as a fraction, decimal, or percentage, whichever is more helpful.

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Check the picture below.

\(\cfrac{17.5+14}{17.5}~~ = ~~\cfrac{x}{12.5}\implies \cfrac{(17.5+14)(12.5)}{17.5}~~ = ~~x\implies 22.5=x\)

Answer:

(3x + 4)²

Step-by-step explanation:

Let the unknown number be x.

(3x + 4)²

The probability that the next chew Mia will remove from the bag will be pineapple is 5/13

Probability is the likelihood or chance that an event will occur

Probability = Expected outcome/Total outcome

If Mia performs the experiment 65 times of removing a chew from the bag, records the result, the total outcome will be 65

If a pineapple chew was selected 25 times. A lemon chew was selected 14 times. A watermelon chew was selected 26 times, the probability that the next chew Mia will remove from the bag will be pineapple is 25/65

Pr(pineapple will be removed) = 25/65 = 5/13

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The probability that the next chew Mia removes from the bag will be pineapple chew is 5/13.

Since Mia has a bag that contains pineapple chews, lemon chews, and watermelon chews, and she performs an experiment whereby she randomly removes a chew from the bag, records the result, and returns the chew to the bag, and Mia performs the experiment 65 times, in which a pineapple chew was selected 25 times, a lemon chew was selected 14 times. and a watermelon chew was selected 26 times, for express the probability that the next chew Mia removes from the bag will be pineapple chew the following calculation must be performed:

Therefore, the probability that the next chew Mia removes from the bag will be pineapple chew is 5/13.

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The point (-1,3) would be located at the point (3,-1) after a 270 degree counterclockwise rotation about the point (1,0).

To rotate a point in a 2D space, we can use the rotation matrix formula:

[x'] = [cos(Ф) -sin(Ф)][x]

[y'] [sin(Ф) cos(Ф)][y]

Where x' and y' are the coordinates of the point after rotation, x and y are the coordinates of the point before rotation, and theta is the angle of rotation in radians.

In this case, the point to be rotated is (-1,3) and the point of rotation is (1,0). The angle of rotation is 270 degrees, which is equivalent to 3/2π radians.

Plugging in the values:

[x'] = [cos(3/2π) -sin(3/2π)][-1]

[y'] [sin(3/2π) cos(3/2π)][3]

[x'] = [0 1][-1]

[y'] [-1 0][3]

x' = 3 and y' = -1

Therefore, the point (-1,3) is located at the point (3,-1) after a 270 degree counterclockwise rotation about the point (1,0).

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Answer:

The value of x is 5

Answer: The answer is C 11/3

Isolate the variable by dividing each sides by a factors that don't contain the variable.

Answer: 3

Step-by-step explanation:

24/8

The mass of the solid bounded by the cylinder and cone is given by:

M = πρ = π sqrt(2x - x^2 + y^2)

To find the mass of the solid bounded by the cylinder and the cone, we need to evaluate the triple integral of the density function δ = sqrt(x^2 + y^2) over the region enclosed by the surfaces.

First, let's find the limits of integration for the variables x, y, and z.

The cylinder equation can be rewritten as (x - 1)^2 + y^2 = 1, which represents a cylinder with radius 1 and centered at (1, 0).

The cone equation can be rewritten as z^2 = r^2, where r^2 = x^2 + y^2 represents the radial distance from the origin to any point on the xy-plane.

Since the density function depends on the radial distance, we will use cylindrical coordinates (ρ, θ, z) to express the region.

In cylindrical coordinates, the region of integration can be defined as follows:

ρ ranges from 0 to 1 (radius of the cylinder)

θ ranges from 0 to 2π (full revolution around the cylinder)

z ranges from -ρ to √(ρ^2) (the positive part of the cone)

The mass (M) can be calculated by evaluating the following triple integral:

M = ∫∫∫ δρ dρ dθ dz

Substituting δ = sqrt(ρ^2) = ρ into the integral, we have:

M = ∫∫∫ ρ ρ dρ dθ dz

= ∫∫ [ρ^2/2]dθ dz from ρ = 0 to 1

= ∫ [π/2] dz from z = -ρ to √(ρ^2)

= π/2 [z] from z = -ρ to √(ρ^2)

= π/2 (sqrt(ρ^2) - (-ρ))

= π/2 (ρ + ρ)

= πρ

Now, we need to express ρ in terms of x and y. From the cylinder equation, we have:

(x - 1)^2 + y^2 = 1

ρ^2 = 2x - x^2 + y^2

ρ = sqrt(2x - x^2 + y^2)

Therefore, the mass of the solid bounded by the cylinder and cone is given by:

M = πρ = π sqrt(2x - x^2 + y^2)

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Therefore, based on the information provided, the perpendicular distance from the x-axis to the center of Shape B, or the distance from the origin along the y-axis to the center of Shape B, is 1.5 units.

To determine the perpendicular distance from the x-axis to the center of Shape B or the distance from the origin along the y-axis to the center of Shape B, we need to consider the properties of Shape B.

In this context, when we say "center," we are referring to the midpoint or the central point of Shape B along the y-axis.

The given answer of 1.5 units suggests that the center of Shape B lies 1.5 units above the x-axis or below the origin along the y-axis.

The distance is measured perpendicular to the x-axis or parallel to the y-axis, as we are interested in the vertical distance from the x-axis to the center of Shape B.

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Answer: it would take him 10 hours to make 120 paper

Answer:

$ 58.75

Step-by-step explanation:

First find the amount spent by one person and then multiply the amount by 5 to find the amount paid by the group.

Amount paid by one person = 5 + 3.75 + 3

                                                = $ 11.75

Amount paid by 5 person = 11.75 *5

                                           = $ 58.75

The equation is solved for y as: y = 3x + 4.

Slope = 3

Y-intercept = 4.

Given the equation, -3x + y = 4, rewrite to solve for y:

y = 3x + 4

To create a table, substitute the values of x into y = 3x + 4.

For x = -1:

y = 3(-1) + 4

y = 1

For x = 0:

y = 3(0) + 4

y = 4

For x = 1:

y = 3(1) + 4

y = 7

For x = 2:

y = 3(2) + 4

y = 10

For x = 3:

y = 3(3) + 4

y = 13

The table is:

    x     |     y      

   -1          1  

   0          4

    1          7

    2         10

    3         13

The slope of y = 3x + 4 is m = 3.

The y-intercept (b) = 4.

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