2 (x + 3) = x - 4
pls help me

54  pages are needed to hold all of his cards , if  Ricky has 648 baseball cards he wants to put them in an album if each page of the album holds 12 cards

Ricky has 648 cards , and each page of the album holds 12 cards. Which means, if each page holds 12 cards; One page will hold 12 cards, the second page, another 12 cards and so on.

Hence, 2 pages will hold 12+12 cards which is 24 cards. 3 pages will hold, 12+12+12 = 36 cards

Now, to get how much pages will hold 648 cards, we divide 648 by 12

648/12= 54 pages

Hence, if  Ricky has 648 baseball cards he wants to put them in an album if each page of the album holds 12 cards then 54  pages are needed to hold all of his cards

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a-1. The rate parameter λ is approximately 0.0952.

a-2. The standard deviation of the exponential distribution is approximately 10.5 minutes.

b. No, Jack is not right in believing that taking a break right after serving a customer will lower the probability of someone showing up during his nine-minute break.

c. The probability that a customer will show up in less than nine minutes is approximately 0.5091.

d. The probability that nobody shows up for over forty minutes is approximately 0.0038.

a-1. The rate parameter λ is calculated as the reciprocal of the average time between purchases, which is 1 divided by 10.5, resulting in approximately 0.0952. It represents the average rate at which customers arrive.

a-2. The standard deviation of an exponential distribution is equal to the inverse of the rate parameter λ. In this case, the standard deviation is approximately 10.5 minutes, indicating the variability or spread of the time between customer purchases.

b. Jack's belief is incorrect. The exponential distribution is memoryless, meaning that the time since the last customer's purchase does not affect the probability of a customer showing up. Taking a break immediately after serving a customer does not lower the probability of someone showing up during his nine-minute break.

c. To calculate the probability that a customer will show up in less than nine minutes, we can use the cumulative distribution function (CDF) of the exponential distribution. By substituting the rate parameter λ and the desired time (nine minutes) into the CDF formula, the probability is approximately 0.5091.

d. The probability that nobody shows up for over forty minutes can be obtained by subtracting the probability of a customer showing up in less than forty minutes from 1. Using the CDF formula, with λ and forty minutes as inputs, the probability is approximately 0.0038. This represents the chance of no customer arriving within the specified time period.

In summary, the rate parameter λ and standard deviation determine the characteristics of the exponential distribution. Jack's belief about the effect of his break timing is incorrect due to the memoryless property of the distribution. The probability of a customer arriving in less than nine minutes is around 0.5091, while the probability of nobody showing up for over forty minutes is approximately 0.0038.

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The tool that ensures greater accuracy by aligning the numbers scale with the edges or points to be measured is a Vernier caliper.

A Vernier caliper is a tool used to accurately measure small lengths, widths, and diameters with precision. It has two parts: an outer frame and a sliding vernier scale. The frame is used to place the object to be measured, while the vernier scale is moved along the frame to measure the object's length.

The graduations on the vernier scale are smaller than the main scale graduations, allowing for more precise measurements to be made. This makes the Vernier caliper a more accurate measuring tool than a standard ruler or tape measure.

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This is how the Cluster of sampling technique is best described.

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Answer:

Quadrants I and II

Step-by-step explanation:

y = x²

y = 3x + 10

x² = 3x + 10                     Substitute x² for y

x² - 3x - 10 = 0                 set the equation = 0

(x - 5) (x + 2)                     Factoring

x - 5 = 0 ; x + 2 = 0

x = 5 or x = -2

Now solving the y

y = x²     or     y = x²

y = (5)²   or y = (-2)²  

y = 25   or  y = 4

The points of interception is points (5, 25) or (-2, 4)  

(5, 25)  in Quadrant I ; (-2, 4) in Quadrant II

Answer:

p ≥ 228

Step-by-step explanation:

p ≥ 228

This inequality means the Bowlers have to score at least 228 points to move on.

Hope this helped!

Answer:

The theorem here is essentially that

if a and 3 are disjoint sets with

exactly one element each, then their

union has exactly two elements. ...

Peano shows that it's not hard to

produce a useful set of axioms that

can prove 1+1=2 much more easily

than Whitehead and Russell do.

Part 3 of 3 (c) Interpret the 90% confidence interval in context.

The 90% confidence interval for the proportion of those aged 65 and over who have sleep apnea is 0.244.

This means that we are 90% confident that the true proportion of people aged 65 and over who have sleep apnea falls between 0.244 and some upper limit (which is not given in the question).

Therefore, we can conclude that the prevalence of sleep apnea among this population is fairly high, with almost a third of individuals experiencing this condition.

However, there is still some uncertainty in our estimate, as the true proportion could be slightly lower or higher than the point estimate and confidence interval we have calculated.

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Answer:

2

Step-by-step explanation:

Count the spins

The six main criteria to define normality and abnormality include statistical infrequency, personal distress, others' distress, unexpected behavior, highly consistent/inconsistent behavior, and maladaptiveness/disability.

1. Abnormality as statistical infrequency: This criterion defines abnormality based on behaviors or characteristics that deviate significantly from the statistical norm.

2. Abnormality as personal distress: This criterion focuses on the individual's subjective experience of distress or discomfort. It considers behaviors or experiences that cause significant emotional or psychological distress to the person as abnormal.

For instance, someone experiencing intense anxiety or depression may be considered abnormal based on personal distress.

3. Abnormality as others' distress: This criterion takes into account the impact of behavior on others. It considers behaviors that cause distress, harm, or disruption to others as abnormal.

For example, someone engaging in violent or aggressive behavior that harms others may be considered abnormal based on the distress caused to others.

4. Abnormality as unexpected behavior: This criterion defines abnormality based on behaviors that are considered atypical or unexpected in a given context or situation.

For instance, if someone starts laughing uncontrollably during a sad event, their behavior may be considered abnormal due to its unexpected nature.

5. Abnormality as highly consistent/inconsistent behavior: This criterion involves comparing an individual's behavior to both their own typical behavior and the behavior of others. Consistent or inconsistent patterns of behavior may be considered abnormal.

For example, if a person consistently engages in risky and impulsive behavior, it may be seen as abnormal compared to their own usually cautious behavior or the behavior of others in similar situations.

6. It considers behaviors that are maladaptive, causing difficulties in personal, social, or occupational areas. For instance, someone experiencing severe social anxiety that prevents them from forming relationships or attending school or work may be considered abnormal due to the disability it causes.

The medical model and classification systems used in physical illnesses have both value and limitations when applied to psychological disorders. They provide a structured framework for understanding and diagnosing psychological disorders, allowing for standardized assessment and treatment. However, they can oversimplify the complexity of psychological experiences and may lead to overpathologization or stigmatization.

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Answer:

21.1111 m/s

Step-by-step explanation:

In the triangular lattice below, there are an infinite number of equilateral triangles that have at least two of the points as vertices.

This is because the triangular lattice is made up of an infinite number of equilateral triangles of various sizes and orientations. Any two points in the lattice form the vertices of an equilateral triangle and any other point in the lattice can be used as the third vertex.

An equilateral triangle is a triangle in which all three sides are equal in length. It is also equiangular, meaning that all three angles are equal in measure. In the plane, all three vertices of an equilateral triangle can be connected to form a single closed figure. Equilateral triangles can also be used to form periodic patterns, such as the triangular lattice shown in the question.

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Answer:

d, 1/6

Step-by-step explanation:

so i did a diagram of some sorts to do this and got around six possible outcomes.

h is heads, t is tails.

h-h-h

t-t-t

h-t-h

t-h-t

t-t-h

h-h-t

feel free to correct me if any of this is wrong.

Answer:

840

Step-by-step explanation:

20 x 7 = 140

140 x 6 = 840

The probability mass function for this problem is f(x) = C(20, x) * (0.65)^x * (0.35)^(20-x). The parameters for this binomial distribution are n=20 (number of trials) and p=0.65 (probability of success).

Based on the given information, x follows a binomial distribution since each passenger either belongs to the frequent rider club or not, with a fixed probability of 0.65 for success (being a member of the club) and 0.35 for failure (not being a member). The probability mass function (f(x)) for this distribution can be written as f(x) = (20 choose x) * 0.65^x * 0.35^(20-x), where (20 choose x) represents the number of ways x passengers can be chosen from a total of 20 passengers. The parameters for this distribution are n = 20 (the total number of passengers) and p = 0.65 (the probability of success).
Hi! Based on your question, the variable X follows a binomial distribution since it represents the number of successes (frequent rider club members) out of a fixed number of independent Bernoulli trials (20 passengers). The probability mass function (f(x)) for a binomial distribution is given by:
f(x) = C(n, x) * p^x * (1-p)^(n-x)
where:
- C(n, x) represents the number of combinations of n items taken x at a time (n choose x)
- n is the number of trials (20 passengers in this case)
- x is the number of successes (number of frequent rider club members)
- p is the probability of success (0.65 for a passenger being part of the frequent rider club)
- (1-p) is the probability of failure (0.35 for a passenger not being part of the frequent rider club)

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Answer:

(3, - 28)

Step-by-step explanation:

f(x) = 4x² - 24x + 8

\(x = - \frac{ - 24}{2 \times 4} \)

x = 3

f(3) = -28

= (3, -28)

The inflation rate is given as 3.12% per year.

The inflation rate refers to the rate at which the general level of prices for goods and services is increasing and, consequently, the purchasing power of currency is decreasing over time.

In the given scenario, it is stated that the inflation rate is expected to be 3.12% per year. This means that, on average, the prices of goods and services are anticipated to rise by 3.12% each year.

For example, if an item costs $100 today and the inflation rate is 3.12%, then one year from now, the same item is expected to cost $103.12 (100 + 3.12% of 100). This implies that the value of the currency has decreased by 3.12% in terms of purchasing power.

In summary, the inflation rate of 3.12% indicates the expected increase in prices over time and the subsequent decrease in the value of money.

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Answer:

28

Step-by-step explanation:

28 has 2 prime factors and 3 composite factors.

Answer:

The value of mEFD = 214°

Step-by-step explanation:

Given that the measure of the degree of one of the central angles of an inner circle is 146°.

We know that sum of all central angles is 360°.

In other words, in our case

mEFD + 146° = 360°

Thus, we can determine the mEFD using the equation

mEFD + 146° = 360°

so subtracting 146° to both sides

mEFD + 146° - 146°  = 360° - 146°

mEFD = 214°

Therefore, the value of mEFD = 214°

Answer:

30+10i

Step-by-step explanation:

Just multiply as if they were polynomials, reminding that \(i^2=-1\) by definition.

\( 6-8i +18i - (-1) 24 = 6+24 -8i +18i = 30+10i \)

Answer:

try using tigeralgebra - its an algebra calculator that really helped ma with algebra equations like this. It ha never been inaccurate for me. Sorry if that didnt help u

Step-by-step explanation:

(2,-1)

Put in x=2 into all four equations, only y = 3x − 7 and y = 5x − 11 gives you a y-value of -1.

(3,4)

Of the two remaining equaitons, put in x=3 and only y = 5x − 11 gives you back y=4.

y = 5x − 11

The actual weight is 0.0042 pounds lighter than the labeled weight.

The actual weight of the chocolates is 0.3798 pounds, while the label on the bag states it should weigh 0.384 pounds. To determine how much lighter the actual weight is, we can calculate the difference between the two weights.

Subtracting the actual weight from the labeled weight, we get:

0.384 pounds - 0.3798 pounds = 0.0042 pounds.

Therefore, the actual weight is 0.0042 pounds lighter than the labeled weight.

It's important to note that this difference may seem small, but it can be significant depending on the context. Accuracy in labeling is crucial for various reasons, such as complying with regulations, providing precise information to consumers, and ensuring fair trade practices. Even minor discrepancies can impact trust and customer satisfaction.

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The MP curve initially rises to its maximum value because of the specialized nature of the fixed capital, where each additional worker's productivity rises due to the marginal product of the fixed capital.

Production Function: q = f(L,K) = 20L + 25K + 5KL - 0.03L² - 0.02K²

Given, K = 5, i.e., capital is fixed. Therefore, the total product of labor, average product of labor, and marginal product of labor are:

TPL = f(L, K = 5) = 20L + 25 × 5 + 5L × 5 - 0.03L² - 0.02(5)²

= 20L + 125 + 25L - 0.03L² - 5

= -0.03L² + 45L + 120

APL = TPL / L, or APL = 20 + 125/L + 5K - 0.03L - 0.02K² / L

= 20 + 25 + 5 × 5 - 0.03L - 0.02(5)² / L

= 50 - 0.03L - 0.5 / L

= 49.5 - 0.03L / L

MP = ∂TPL / ∂L

= 20 + 25 - 0.06L - 0.02K²

= 45 - 0.06L

The following diagram illustrates the TP, MP, and AP curves:

Figure: Total Product (TP), Marginal Product (MP), and Average Product (AP) curves

The production function demonstrates increasing marginal returns due to specialization when L is low enough, i.e., when L ≤ 750. The marginal product curve initially increases and reaches a maximum value of 45 units of output when L = 416.67 units. When L > 416.67, MP decreases, and when L = 750 units, MP becomes zero.

The MP curve's initial increase demonstrates that the production function displays increasing marginal returns due to specialization when L is low enough. This is because when the capital is fixed, an additional unit of labor will benefit from the fixed capital and will increase production more than the previous one.

In other words, Because of the specialised nature of the fixed capital, the MP curve first climbs to its maximum value, where each additional worker's productivity rises due to the marginal product of the fixed capital.

The APL curve initially rises due to the MP curve's increase and then decreases when MP falls because of the diminishing marginal returns.

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Answer:

Tara has to pay £324 for 4 nights

Step-by-step explanation:

Regular price of a room per night

= £90

Regular price of a room for 4 nights

= 90*4

= £360

Price of a room for 4 nights after discount

= 75% (360)

= 75/100 * 360 = 75 * 3.6

= £270

Price of the room after charging VAT

= 270 + 20%(270)

= 270 + 20/100 * 270

= 270 + 2 * 27

= 270 + 54

= £324

The volume of the Illustrated cone used as an example is 51.3cm³.

Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed numerically using SI-derived units, as well as different imperial or US-standard units. Volume and the definition of length are related.

A cone is a recognizable three-dimensional geometric shape with a flat and curved surface that is pointed upward. The formula for the volume of a cone is V=1/3hπr²

Let's say the radius is 7cm. The volume will be:

= 1/3 × 3.14 × 7²

= 51.3cm³

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Answer:

\(\boxed {\boxed {\sf C. \ 4 \ inches}}\)

Step-by-step explanation:

Circumference is the perimeter of a circle. It can be found using the formula:

\(c= \pi d\)

However, we are given the radius.

The formula can be rewritten as:

\(c= \pi 2 r\)

We know the circumference is 25.12 inches.

\(25.12 \ in = \pi 2r\)

Let's round pi to 3.14

\(25.12 \ in = (3.14) 2r\)

We want to solve for the radius, so we must isolate it.

Divide both sides by 3.14 because the inverse of multiplication is division.

\(25.12 \ in / 3.14= (3.14 ) 2r / 3.14\)

\(8 \ in = 2r\)

Divide both sides by 2.

\(8 \ in / 2 = 2r/2\)

\(4 \ in = r\)

The radius of the disc is 4 inches.

Answer:

i'm not entirely sure but taking an educated guess, id say uplift

Step-by-step explanation:

Answer:

mid point: (4,5)

hope that helps :)

Step-by-step explanation:

The scale being used in Mr. Bob the Builder's map is 1 inch on the map corresponds to 156 inches in real life.

Using the given measurements, we can create a proportion to determine Mr. Bob the Builder's map's scale:

In real life, 16 inches on the map equal 208 feet.

Let's use the same measurement for the units. It is convenient to use the same unit of measurement on both sides of the proportion because we are attempting to establish the scale. How about we convert 208 feet to inches:

1 foot equals 12 inches; 208 feet equals 208 times 12 inches, or 2496 inches. Now we know the ratio:

We can cross-multiply to solve for the scale factor: 16 inches (on the map) x 2496 inches (in real life).

16 * 1 = 2496 * x

16 = 2496x

x = 16/2496

Improving on the part:

x = 1/156, so Mr. Bob the Builder's map uses a scale where one inch on the map is equivalent to 156 inches in real life.

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