The principal of a large high school is concerned about the number of absences for students at his school. to investigate, he prints a list showing the number of absences during the last month for each of the 2500 students at the school. for this population of students, the distribution of absences last month is skewed to the right with a mean of 1.1 and a standard deviation of (1.4). suppose that a random sample of 50 students is selected from the list printed by the principal and the sample mean number of absences is calculated.
a.) What is the shape of the sampling distribution of the sample mean? Explain
b.) What are the mean and standard deviation of the sampling distribution of the sampling mean?
c.) What is the probability that the mean number of absences in a random sample of 50 students is less than 1?
d.) Because the population distribution is skewed, the principal is considering using the median number of absences last month instead of the mean number of absences to summarize the distribution. Describe how the principal could use a simulation to estimate the standard deviation of the sampling distribution of the sample median for random samples of size 50.

A Boolean data type is a type of data that can have one of two possible values, either true or false.

Boolean values are used in logic and programming to make decisions and determine the flow of a program. In programming, Boolean values are typically represented with 0 for false and 1 for true. Examples of Boolean values include the following:

• (5 > 4)  True

• (10 = 10)  True

• (3 < 2) False

• (17 ≥ 17) True

• (“dog” = “cat”) False

• (“hello” ≠ “goodbye”) True

Boolean values are used in programming to perform calculations, make decisions, and control the flow of a program. For example, an if statement is a type of decision making statement that uses a Boolean expression to determine if a certain condition is true or false. If the condition is true, the program will execute the specified code, and if false, the program will skip the specified code. Boolean values are also used to perform calculations, such as in the AND, OR, and NOT logical operators, which are used to combine two or more conditions into one expression. For example, the AND operator would return true if both of the conditions are true and false if either of the conditions are false.

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The independent variable x represents the, work hour and the dependent variable is money she earned, Because the money (dependant) depends on the work hour (Independent).

One whose value is dependent on another variable is said to be a dependent variable. Its quantity depends on the other, as the name would imply. Dependent variables are subject to external influences and do not change independently.

Independent variables don't rely on other factors, as opposed to dependent variables. Their individualistic values are what changed the dependent variables, and this is what caused the change. Independent variables are, once more, unaffected by external factors, as their name implies.

Because the money she earn id depended on the number of hour she work,

(x) =  8x

When x = 5

5 = 8 × 5

      = $40

Thus, Naomi is making $40 per 5 hours when she is babysitting her younger siblings.

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Full question:

The probability that both of them wear glasses is 35%.

The probability that both students wear glasses is equal to the product of the probability of the first and the second student wearing glasses

If 59% of all students on campus wear glasses, then the probability of a single student wearing glasses is 0.59.

The probability that both students wear glasses is:

0.59 * 0.59 = 0.3481

Approximate

0.59 * 0.59 = 0.35

So, the probability that both students wear glasses is approximately 0.35 or 35%.

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Answer:

Step-by-step explanation:

Yes, the constant of proportionality is 0.3.

Answer:

Yes, the constant of proportionality is 0.3.

Step-by-step explanation:

12-ounce cup costs $3.60 => 1 ounce = $3.60 / 12 = $0.3

16-ounce cup costs $4.80 => 1 ounce = $4.80 / 16 = $0.3

$0.3 = $0.3

Yes, the constant of proportionality is 0.3.

the answer is 3 because if you add those together you will get 3

Asymptotes and extreme values of the equation 10n3 + 8n - 4 are none, slope of 4n+3 is 4, and n is an integer.

( a ) Points of axis interception at 4n+3: X Intercepts: [tex]$\left(-\frac{3}{4}, 0\right), \mathrm{Y}$[/tex] Intercepts: (0,3)

Slope of 4 n+3:  m=4

( b ) Domain of [tex]$10 n^3+8 n-4:\left[\begin{array}{cc}\text { Solution: } & -\infty < n < \infty \\ \text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$[/tex]

Range of [tex]$10 n^3+8 n-4:\left[\begin{array}{cc}\text { Solution: } & -\infty < f(x) < \infty \\ \text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$[/tex]

Points of axis interception at  [tex]$10 n^3+8 n-4: \quad X$[/tex] Intercepts: [tex]$(0.41235 \ldots, 0), Y$[/tex] Intercepts: (0,-4)

Asymptotes of [tex]$10 n^3+8 n-4: \quad$[/tex] None

Extreme Points of [tex]$10 n^3+8 n-4: \quad$[/tex]None

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Asymptotes and extreme values of the equation 10n3 + 8n - 4 are none, slope of 4n+3 is 4, and n is an integer.

( a ) Points of axis interception at 4n+3: X Intercepts:  Intercepts: (0,3)

Slope of 4 n+3:  m=4

( b ) Domain of

Range of

Points of axis interception at   Intercepts:  Intercepts: (0,-4)

Asymptotes of  None

Extreme Points of None

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Answer:

Step-by-step explanation:

if you practice an instrument for 45 minutes or 0.75 hrs per day

The violinist's Age is 21 years

The total number of hours practiced per year is 0.75 hours /day * 365days/year

If you want to reach 10,000 hours by the age of 21, you would need to practice for approximately:

10000 hours / 21 years = 476 hours per year

So, you would need to practice for approximately 476 hours/year for 21 years to reach 10,000 hours of practice.

Answer:

the actual size is 24 cm

Step-by-step explanation:

first, the problem tells us that the picture is only 1/8th of the original. the easiest way to find this is by thinking about the fact that we only have 1 out of 8 parts. each of these parts are going to be the exact same size.

each of the 8 parts is going to equal 3cm. so multiply 3 cm by your 8 parts.

3*8=24

this will give you the size of your entire bottle.

The solution to 3x + 2(4 + 6x) = 113 is x=7

3x + 2(4 + 6x) = 113

We will multiply the 2 with the brackets

3x+8+12x=13

adding the coefficients os x together

15x+8=113

adding -8 on both the sides

15x=105

dividing both the sides by 15

x=105/15

after division we get

x=7

To check our solution

we first put value of x in our original equation

3x7 + 2(4 + 6x7) = 113

we simplify the equation

21+2(4+42)=113

According to BODMAS we first solve the bracket

21+2(46)=113

now we solve the multiplication part

21+92=113

solving this

113=113

∴ LHS=RHS

Hence the solution is correct.

Therefore, the solution to 3x + 2(4 + 6x) = 113 is x=7

BODMAS is an acronym used to remember the order of precedence for operations. It stands for Brackets of Order(exponents) Division, multiplication, Addition, Subtraction

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The number of Mia's marbles that show some blue colour would be = 214.3 marbles

A fraction of a number is part of the whole number which is represented as a numerator and a denominator.

The total number of marbles = 250

The fraction of the marble that are red = 2/3

The fraction of the marble that are blue = 6/7

The fraction of the marble that are yellow = 3/4

The quantity of marbles that are blue

= 6/7× 250

= 1500/7

= 214.3 marbles

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Answer: C = 170

Step-by-step explanation: 45+45+40+40 = 170

Answer:

Your answer is: B) 175ft

Step-by-step explanation:

To fid the perimeter you need to add all the sides together. Don't forget to add the sides that are not labeled, as well as the extra 5ft.

45+45+40+40+5=175

[tex]5.5b\leq 10.89[/tex]

Divide both sides by 5.5:

[tex]\dfrac{5.5b}{5.5} \leq \dfrac{10.89}{5.5}[/tex]

Answer:

[tex]b\leq 1.98[/tex]

Answer:

b ≤ 1.98

Step-by-step explanation:

Given equation,

→ 5.5b ≤ 10.89

Now the value of b will be,

→ 5.5b ≤ 10.89

→ b ≤ 10.89 ÷ 5.5

→ [ b ≤ 1.98 ]

Hence, value of b is 1.98.

When N=1, P(S=4) = 1 - exp^(-4/5). When N>1, P(S=4) = 1 - exp^(-4/8). Therefore, P(S=4) = 1/2 * (1 - exp^(-4/5)) + 1/6 * (1 - exp^(-4/8)). S denote the total amount for an insured.

When N=1, the total annual claim amount for an insured, S, is exponentially distributed with mean 5. This means that the probability of S being equal to 4 is 1 - exp^(-4/5). When N>1, the probability of S being equal to 4 is 1 - exp^(-4/8).  Since P(N=0) = 1/2 and P(N=1) = 1/3, the total probability of S being equal to 4 is the sum of the probabilities for N=1 and N>1. This is equal to 1/2 * (1 - exp^(-4/5)) + 1/6 * (1 - exp^(-4/8)).

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Explanation:

Add the values to get 18+12+6+7+11+20+15 = 89

Then divide by 7, since there are 7 values.

89/7 = 12.7143 approximately which rounds to 12.7

The required, mean for the specific data set will also be greater than the median.

Statistics is the study of mathematics that deals with relations between comprehensive data.

Here,
The relative values of the mean and median are typical of data that have a significant skew to the left, If the data set significant skew to the left implies that the mean of the data set is greater than the median of the data set.

Thus, the required, mean for the specific data set will also be greater than the median.

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Answer:

Solution in attached photo.

Step-by-step explanation:

Steps are in attached photo, to do dot product, make sure you are multiplying x-coordinates of one vector with x-coordinates of another vector, and likewise for y-coordinates.

Part A: the number of cucumbers is 11.

Part B: the number of avocados is 8.

Part A:

Let x is the number of cucumbers .

Then,

3x - 7 = 26,

3x = 26+7,

3x = 33,

x = 33/3,

x = 11.

Thus, the number of cucumbers is 11.

Part B:

Let x is the number of avocados.

3x - 7 = x + 9

3x - x = 9 + 7

2x = 16

x = 8

Thus, the number of avocados is 8.

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Algebraic expression for the number of pounds of cashews that she needs to add is c = 58 - p

An algebraic expression can be described as an expression that is mostly composed or consists of variables, coefficients, terms, factors and constants.

Algebraic expressions are mathematically expressions and thus are made up of arithmetic operations, such as;

From the information given, we have that;

To determine the number of pounds of cashew, we have;

p + c = 58

Make 'c' the subject

c = 58 - p

Hence, the expression is c = 58 - p

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The value of x which is base of the given right angle triangle is,  30.724

It is the most important theorem of mathematics, which tells us the relationship between sides of the right angle triangle, which are known as Base(A), Height(B), Hypotenuse(H).

Pythagoras theorem,

H² = A² + B²

Given that,

A right angle triangle,

Sides are respectively, 63, x, ?

One segment on hypotenuse having length 55

As it can seen that segment has equal length of height of the perpendicular

So, A = 55 unit

H = 63 unit

x = ?

H² = A² + B²

63² = 55² + x²

x²   = 63² - 55²

x    = 30.724

Hence, the length of base is 30.724

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The measure of angle BAE is equal to the sum of the measures of angles ABC and ACD, or 120°.

Since ABCD and AED are both plane figures and share AD, the measure of angle BAE must be equal to the measure of angle BCD. Angle BCD is the exterior angle of triangle ABC, so the measure of angle BCD is equal to the sum of the measures of angles ABC and ACD. Therefore, the measure of angle BAE can be calculated using the formula:

m∠BAE=m∠ABC+m∠ACD

Since triangle AED is equilateral, all three angles are equal to 60°. Therefore, the measure of angles ABC and ACD are both equal to 60°. Therefore, the measure of angle BAE is equal to the sum of the measures of angles ABC and ACD, or 120°.

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The variable most likely to be approximated by a normal model is c. The distribution of age, in years, of the students at a certain college, where most students are between 18 and 22 years old, but ages greater than 22 will probably be more spread out than ages less than 18.

A normal model is used to describe data that has a symmetrical distribution and where most values cluster around the center of the distribution. Of the variables listed, c. The distribution of age, in years, of the students at a certain college, where most students are between 18 and 22 years old, but ages greater than 22 will variable probably be more spread out than ages less than 18 is the most likely to be approximated by a normal model as it does have a symmetrical distribution and most values will cluster around the center.

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Yes , it is a  average rate of change over the interval -1

What is average rate of change?

It is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.

suppose function y = x+1

then at interval [ -1 , 1]

at x= -1

y= 0

and at x= 1

y= 2

Rate of change = (y2 - y1)/(x2 - x1) = (2-0) / -1-1

Rate of change = 2/-2

= -1

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When applying the some rule, we only combine two equal ratios at once. Consequently, we deal with pairs of sides and angles that have equivalent ratios.

When two ratios are equal, a percentage is formed; alternatively, two equal ratios can be said to produce a proportion. When we understand that two ratios are equal, you can write a proportion. The ratios of these two numbers are equal.

When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant. Two angles are said to be complimentary if their sum is 90 degrees. Alternatively put, two angles are said to be complimentary if they combine to make a right angle.

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A linear transformation L: V→W is called an isomorphism if it is a bijection. Two vector spaces are called isomorphic if there is an isomorphism mapping one of the spaces onto the other.

Often two vector spaces can consist of quite different types of vectors but, on closer examination, turn out to be the same underlying space displayed in different symbols. For example, consider the spaces

R² = {(a, b) | a, b ∈ R} and P₁= {a+bx|a,b ∈ R}

Compare the addition and scalar multiplication in these spaces:

(a,b) + (a₁,b₁) = (a+a₁, b+b₁) (a+bx) + (a₁+b₁x) = (a+a₁) + (b+b₁)x

r(a,b) = (ra,rb) r(a+bx)=(ra)+(rb)x

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Answer:

sorry i don't know but you do it very good i promise

The mean of the score is 3.4 and the standard deviation is 3.2.

Scores of students = 5, 4, 4, 3 and 1

When determining the mean of a group of numbers, add up all the numbers and divide by the total number in the group.

Calculating the mean -

= Sum of total values / Total values

= 5 + 4 + 4 + 3 + 1 / 5

= 17/5

= 3.4

By averaging the squared deviations of each integer from the mean, you may get the variance before calculating the standard deviation.

Calculating the Standard deviation -

σ = √ ∑ (xi - u)²/n

σ² = (1² + (3.4 - 1)² + (3.4 - 4)² + (3.4 - 4)²+ (3.4 - 5)²) / 5

= 3.2

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Answer:

Step-by-step explanation:

210