need help on 11 and 12! or you can solve one instead of both if u want?

The probability that fewer than 20 customers in the sample buy coffee during their visit on that certain day of the week is 59.87%

What is the normal distribution?

A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean. The normal distribution appears as a "bell curve" on a graph.

The formula for z-score is z = (x -μ)/σ

Where,

Z is standard score.

X is observed value.

μ is mean of the sample.

σ is standard deviation of the sample

Given that 55% of the customers buy coffee, hence p = 55% = 0.55

Sample of 35 customers, hence n = 35.

For the normal distribution μ = np, σ = √[np(1-p)]

The mean and the standard deviation of the approximation are:

μ = 35 ˣ 0.55 = 19.25

σ = √[35 ˣ 0.55(1-0.55)] =2.943

Using continuity correction, the probability that fewer than 20 customers in the sample buy coffee during their visit on that certain day of the week is P(X < 20 - 0.5) = P(X < 19.5), which is the p-value of Z when X = 19.5, hence:

z = (20 -19.25)/2.943

z = 0.25 has a p-value of 0.5987.

0.5987 =59.87%

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Answer:

Step-by-step explanation:

- Hint: In this question we asked to find the Simple interest. Here, we will calculate simple interest for 4 years at 8% per annum by using the formula of simple interest (SI) =PRN100 .

Complete step-by-step solution -

To find the simple interest first we will know about simple interest.

Simple interest is based on principal amount for a fixed period of time. The amount which we deposit or take loan from the bank is known as principal amount. The period of time for which the money is lent is known as time on interest.

Now, we will calculate here simple interest,

SI =PRN100

Where P (principal amount) = Rs. 3000

R (Rate of interest) = 8%

N (number of period) = 4 years

So, finding simple interest by putting all the value, we get

=3000×8×4100

=30×8×4

=960 Rs.

Answer:

Step-by-step

pp

Answer:

7 2/5=2/3x-4 1/2

37/5=2/3x-9/2 /×30

30×37/5=30×2/3x+30×(-9/2)

222=20x-135

-20x=-135-222

-20x=-357

20x=357

x=357/20

x=17 17/20

Answer: 8 yards

Step-by-step explanation:

15-7=8

The maximum number of intersections for the graphs is two.

A quadratic equation is any equation in algebra that may be rearranged in standard form as:

When x denotes an unknown value while a, b, and c denote known numbers In general, one assumes that a = 0; equations with a = 0 are considered degenerate since the equation becomes linear or even simpler. The numbers a, b, and c are the equation's coefficients, which can be separated by referring to them as the quadratic coefficient, linear coefficient, and constant or free term, respectively.

The task material indicates that the two graphs involved are linear and quadratic graphs.

A quadratic graph produces a parabola, while a linear graph produces a straight line. As a result, the best instance of intersection is when the straight line crosses over the parabola, resulting in two points of intersection.

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Answer:

20 seconds

Step-by-step explanation:

A Z-score is a metric that quantifies the connection between a value and the mean of a set of values.

z-scores are calculated by (observed value - mean)/standard deviation

Mean = 40

Standard Deviation = 8

Observed Value = 52

z-score = (52 - 40)/8 = 2

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The rate of change of the perimeter of a rectangle is 4 in/sec.

What is the perimeter of a rectangle?

The whole length of the outline is referred to as the perimeter of a two-dimensional shape. We add the lengths of all four corners of a rectangle to find its perimeter. Since the opposite sides of a rectangle are always equal, we must determine the length and width of the rectangle in order to determine its perimeter. The rectangle's perimeter can be expressed as twice the sum of its length and width.

Given, the length of a rectangle, L = 1 inches

width of a rectangle, W = 6 inches

rate of increasing length, dL/dt = +4 in/sec

rate of decreasing width, dW/dt = -2 in/sec

Now, the perimeter of a rectangle is given by

P = 2L + 2W

Then, the rate of change of the perimeter is

dP/dt = 2 * ( dL/dt) + 2*(dW/dt )

         = 2*(+4) + 2*(-2)

         = 8-4

         = 4 in/sec

Hence, the rate of change of the perimeter is 4 in/sec.

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The sum of ellies's age and genya's age is 60. in six years, genya will be eigth times as old as ellie now ellie old is 2 years.

Given:

the sum of ellies's age and genya's age is 60. in six years, genya will be eigth times as old as ellie will be.

Let x and y be the ellie's and genya's ages.

x + y = 60

After 6 years x+6 and y +6.

8(x + 6) = y + 6

8x + 48 = y + 6

8x + 42 = y

8x - y = -42

sum of two equations

x + y + 8x - y = 60 + (-42)

x + 8x = 60 - 42

9x = 18

divide by 9 on both sides

9x/9 = 18 / 9

x = 2

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Alpha, Beta and Positron carries charges.

What are Nuclear Reactions?

When a more stable element is to be formed, nuclear reactions frequently produce or capture particles or radiation. The names of several nuclear reactions are given using these particles since they play a significant role in the reaction.

Alpha carries high energy helium nuclei consisting of two protons and two neutrons which makes it a positive particle.

Beta is a high energy electron which is a Negative particle.

Positrons are particles with the same mass as an electron but with 1 unit of positive charge which makes it a Negative particle.

Gamma rays are not particles but carries a very high-energy electromagnetic radiation.

Hence, Alpha is a positive charged particle, Beta is a negative charged particle and Positron is a negative charged particle.

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i)The probability that the play will go to the left is 0.659

ii)the probability that the play will go the right is 0.341

iii) The direction I would prepare to defend if I saw the balanced stance if I were the line breaker is It's better to be ready to protect the left side since the likelihood of a play coming via that side so when the right tackle has a balancing stance is nearly double that of a play going it through right because when right guard maintains a neutral position.

Taking the left first

When play travels via the left 30% of the time, the right guard assumes a balanced stance 90% of the time, for a total of 0.9 0.3 = 27%.

- He adopts a new posture. 10% of the time, play goes through the left = 0.1 0.3 = 3% of the time.

70% of the time, play goes through the right.

- He takes a balanced posture 20% of the time that play travels through the right, for a total of 0.7 0.2 = 14%.

- He assumes a shift stance 80% of the time that play travels via the right, for a total of 0.7 0.8 = 56%.

The right guard then assumes a balanced posture 27% of the time + 14% of the time = 41% of the time.

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Answer:

a = [tex]\frac{8}{29}[/tex]

Step-by-step explanation:

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A person's tendency to believe he/she can predict the outcome of random events is known as the Hindsight bias

An event is the total number of results from a random experiment. Trial results are the outcome. The outcome of an event is the totality of all potential outcomes. To better understand this, let's use an example. Example: Chances of rolling a die and getting the desired number

The three types of outcomes are Organizational outcomes, Team outcomes, and Personal or Individual outcomes.

A psychological phenomenon called hindsight bias enables people to persuade themselves after an occurrence that they correctly predicted it before it occurred. People may get the conclusion that they can foresee subsequent occurrences with accuracy as a result.

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The probability that the mean is less than 1,998 milliliters is 0.11%

To solve this problem, it is important to understand the normal probability distribution and the central limit theorem

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean μ and standard deviation σ , the z-score of a measure X is given by:

Z = (X -μ) / σ

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p value, we get the probability that the value of the measure is greater than X.

Central Limit theorem

The Central Limit Theorem establishes that, for a random variable X, with mean  and standard deviation σ, a large sample size can be approximated to a normal distribution with mean μ and standard deviation δ = σ /√n

In this problem, we have that:

μ = 2000, σ = 18

If the manufacturer samples 100 bottles, what is the probability that the mean is less than 1998 milliliters

So n =100,

δ=18/√100 = 1.8

This probability is the p value of Z when X = 1998. So

Z = (X -μ) / σ

By the Central Limit Theorem

Z = (X -μ) /δ

Z = (1998 -2000) / 1.8

Z = -1.11 has a p-value of 0.0011

So, 0.11% probability that the mean is less than 1998 milliliters.

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Answer: It will reach the ground after 15 seconds. The force is 50.5%

Step-by-step explanation:

Answer: 2n-1

Step-by-step explanation:

The number of people who ranked vanilla first out of total 60 people is 2.

For the stated question-

Total number of people = 60.

vanilla last: 3/5×60 = 36

vanilla before chocolate: 1/10×60 = 6

vanilla before strawberry: 1/3×60 = 20

Rank of 3 flavours are-

    1st place    | 2nd place   | 3rd place

Thus,

vanilla last : 3/5 = 36

C + E = 36   ...eq 1

Vanilla ahead of Chocolate -1/10

A + B + F = 6   ...eq 2

Vanilla ahead of Strawberry- 1/3

A + B + D = 20   ...eq 3

Add all three equations-

A + B + F + A + B + D + C + E = 36 + 6 + 20

A + B + A + B + C + D + E + F = 62

60 people with no ties;

A + B + C + D + E + F = 60

A + B + A + B + C + D + E + F = 62

A + B + 60 = 62

A + B = 62 - 60

A + B = 2

Thus, the number of people who ranked vanilla first is 2.

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You must count the instances of each rule and the instances of each item in each rule separately using the data in the Excel file in order to determine the support, confidence, and lift of a rule.

Open the Excel file and look for the information on the options ordered for the specific model of car. This information will probably be presented as a table or a group of columns, where each row represents a distinct order and each column a different choice.

You must count the instances of the rule's components occurring together in the data in order to calculate the support for a rule. You would need to track how frequently the fastest engine choice and the traction control option are selected together, for instance, if the rule is "If the quickest engine, then traction control." This can be accomplished by counting the number of cells in a range that satisfy a specific condition using Excel's COUNTIF function.

The confidence in a rule is calculated by dividing the total number of times the items in the premise (the "if" component of the rule) occur by the total number of times the items in the rule. The number of times the fastest engine and traction control options are selected together must be divided by the total number of times the fastest engine option is ordered, for instance, if the rule is "If the fastest engine, then traction control."

You must divide the rule's confidence by the support of the item in the rule's conclusion to determine the lift of a rule (the "then" part of the rule). You would need to divide the rule's confidence by the support for the traction control option, for instance, if the rule is "If the quickest engine, then traction control."

To calculate the support, confidence, and lift for each of the rules, you can use the Excel formulas indicated above together with any other Excel functions or tools you are familiar with.

It is crucial to keep in mind that the precise formulas and processes you will need to follow will depend on the exact data and rules you are working with, so you might need to modify the following instructions to suit your personal needs.

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Step-by-step explanation:

I just answered this. how often did you post this question ?

the answer is light blue.

The number line is shown in figure.

What is Number line?

Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.

Given that;

Stock in Boomer Branding, Inc. started the week at $26.50 per share.

During the week, the following changes in the share price were registered. (+$2.75),(+$3.00),(−$9.25),(+$1.50),(−$5.25)

Now,

Since, During the week, the following changes in the share price were registered. (+$2.75),(+$3.00),(−$9.25),(+$1.50),(−$5.25)

Hence, All the number is shown in figure on that place.

Thus, The number line is shown in figure.

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The length of two sides is given as 17 cm and 5 cm, then the length of side YZ by Pythagoras' theorem will be equal to 16.25 cm.

According to the Pythagoras theorem, the square on the hypotenuse of a triangle, which has a straight angle of 90 degrees, equals the sum of squares of the remaining two sides.

As per the given values in the question,

The length of two sides is given as 17 cm and 5 cm.

As per Pythagoras' theorem,

h² = p² + b²

17² = 5² + b²

b² = 289 - 25

b = √264

b = 16.25 cm.

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It reaches a high of 51.8 degrees Fahrenheit. There is a 59.4 degree F range. 12.6 degrees Fahrenheit is the standard deviation. The average temperature is 33.8°F. The median temperature is 35.6 °F. IQR is 60.8 degrees Fahrenheit.

The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data. It is customary to start with a statistical population or a statistical model to be researched when applying statistics to a scientific, industrial, or social problem. The study of gathering, analyzing, interpreting, presenting, and organizing data in a particular way is the focus of the mathematic branch known as statistics. The process of gathering data, classifying it, presenting it in a way that makes it understandable, and then conducting additional analyses of the data is known as statistics.

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The summation for the indicated value of the variable is 23.

What is factorial?

The product of all positive integers less than or equal to n in mathematics is known as the factorial of a non-negative integer, indicated by the symbol n!. Additionally, the factorial of n is equal to the sum of n and the subsequent smaller factorial: For instance, According to the convention for an empty product, the value of 0! is 1.

Here, we have

Given

1(1!) +2(2!) +3(3!) + 4(4!)+......... m(m!)

By applying summation,

For m = 3, it will become,

= 1(1!) +2(2!) +3(3!)

Now we open factorization and we get

= 1(1) +2(2×1) +3(3×2×1)

= 1 + 4 + 18

= 23

Hence, the summation for the indicated value of the variable is 23.

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A preimage (the original) is the two-dimensional shape before any transformation. The image (the transferred one) is the figure after transformation.

A transformation is a process that manipulates a polygon or other two-dimensional object an a plane or coordinate system. Mathematical transformations describe how two-dimensional figures move around a plane or coordinate system.

Following are the types of transformations:-

Dilation, Reflection, Rotation, Shear, Translation.

Preimage is the set of all elements of the domain that are mapped into a given subset of the co-domain.

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.

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The number of tomatoes weight between 73 grams and 178 grams is 978.

A data set's mean provides the average  and the standard deviation provides information on the range (dispersion) of values around the mean. Squaring is used to determine standard deviation but not mean.

The mean changes when the same value is added to each data point, but the standard deviation remains unchanged.

The standard deviation (SD, also represented by the Greek letter sigma σ or the Latin letter s) is a measure that is used to quantify the amount of variation or dispersion of a set of data values.

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Answer: 88

Step-by-step explanation:

x^2 - xy

8^2-(8(-3))

64-(-24)

64+24

88

Answer: its 500

Step-by-step explanation:

Answer: mark one point after the half mark between 1 and 2, and then the half point between 2 and 3.

Step-by-step explanation: hope this helps!

Answer:

Step-by-step explanation:

So let’s look at the hundredths place. You round .08 to the tenth. So that would be 504.1 then you round the tenths place (the one) to the nearest whole number. But you can’t do that so the answer will be 504. No decimal needed. Or you could’ve just looked at the original number, 504.08 and understood that since there is no number in the tenths place then the answer would be 504.

Answer: 504

Step-by-step explanation:

Answer:

The answer is the third one. It means less than 3 degrees. So X is less than 3 degrees meaning the degrees of the freezer is below 3 degrees.

Step-by-step explanation:

Two events are mutually exclusive if the probability of their intersection is 0 and they have no sample points in common. Hence, option D is the correct answer.

The two events are called mutually exclusive when they have no sample points in common. Thus, the probability of event A and event B happening is zero. this means that their intersection set is the empty set.

let us take an example-

Let A be a set of odd numbers and B be a set of even numbers.

A = {1,3,5,7,9}

B = {0,2,4,6,8}

A ∩ B = { }

Hence, the two sets - A and B are mutually exclusive of each other.

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