the distribution of time spent brushing teeth for the 1,200 students in a school is multimodal with a mean of 43 seconds and a standard deviation of 8.99 seconds. if a random sample of 9 students is selected, is it appropriate to calculate the probability of the sample mean being less than 30 seconds using an approximately normal model?

Answer:

  (c)  (1/14)xy(x² +8y)

Step-by-step explanation:

You want the greatest common factor factored out of the expression 1/14x³y +8/14xy².

The coefficients 1/14 and 8/14 have a common factor of 1/14.

The variable terms x³y and xy² have variables x and y. The exponents of x are 3 and 1, so x¹ = x will be the common factor.

Similarly, the exponents of y are 1 and 2, so y¹ = y will be their common factor.

When we factor out (1/14)(x)(y) from the terms of the given expression, it becomes ...

  1/14xy(x² +y)

Answer: 9%

Step-by-step explanation:

First, take 94.83 divided by 87, then times 100% = 109%

Then take 109 -100 = 9%

So the sales tas percentage is 9%

The circumference of a circle is 32π feet, which is the correct answer would be option (B).

The Circumference of a circle is defined as the product of the diameter of the circle and pi.

C = πd

where 'd' is the diameter of the circle

We have to determine the circumference of a circle whose radius is 16 feet

As per the question, we have

The radius of the circle r = 16 feet

Circumference of a circle = 2πr

Substitute the value of r in the above formula, and we get

Circumference of a circle = 2π(16)

Circumference of a circle = 32π

Hence, the correct answer would be an option (B).

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Option B is correct. It is a plot of the independent and dependent variables.

A scatter diagram is a type of plot or graph that uses Cartesian coordinates to display the values of two variables for a set of data. It is a simple yet powerful way to visualize the relationship between two variables.

The points on the plot represent the values of two variables, the independent variable (X-axis) and the dependent variable (Y-axis). Scatter diagrams provide a visual representation of the relationship between the two variables, which makes it easier to identify patterns such as linear or non-linear relationships.

They also can show correlations, or lack thereof, between two or more variables. Additionally, scatter diagrams can provide insight into the strength of the relationship between the two variables as well as how much of the variation in the dependent variable is explained by the independent variable. For example, a correlation coefficient of 1 indicates a perfect linear relationship, while a correlation coefficient of 0 indicates no relationship between the two variables.

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Answer:

Step-by-step explanation:

Answer = D Explanation: If some closed walk in a graph contains all the edges then the walk is called Euler. 32) Which of the following is not a type of graph ? Answer = D Explanation:Path is a way from one node no another but not a graph.

The amount of interest Maria owes after 6 month of graduation, if she take a subsidized loan of $5,000 and unsubsidized loan of $4,500 is $508.75.

Therefore, the answer is $509.

Subsidized loan

Here, the time period is considered only after graduation, so time period is 6 months, that is 0.5 year. We know simple interest formula where P is the principal amount, r is annual interest rate and n time period in years.

I = P×r×n

Therefore I₁ =  5000 × 0.055 × 0.5

I₁ = 137.5

Unsubsidized loan

Here the time period is considered from the time the loan taken, so time period is one year of graduation plus 0.5 year, i.e. n = 1.5yrs.

Therefore, I₂ = 4500 × 0.055 × 1.5

I₂ = 371.25

Therefore total interest for both the loan is

I = I₁ + I₂

I = 137.5 + 371.25

I = 508.75

I ≈ $509

--The question is incomplete, the complete question is as follows--

"At the beginning of her senior year Maria received a $5,000 subsidized loan and a $4,500 unsubsidized loan with an apr of 5.5%. if maria begins making payments on her loans 6 months after graduation, how much interest will she owe to the nearest dollar?"

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If the data display is strongly skewed right, it means that there are relatively more households with a higher number of children compared to households with a lower number of children. This means that the median value is likely to be higher than the mean value of 3 children per household.

Possible values for the median could be 4, 5, or even higher. It is not possible to determine the exact value of the median without more information about the distribution of the data. However, it is reasonable to assume that the median could be 4 or 5 children per household in this case.

The use of visual representations to organize, summarize, simplify, or alter data aids in the presenting of judgments and conclusions. Data visualizations like matrices and networks are frequently used to improve data analysis; they are more frequently found in quantitative research than in qualitative ones.

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Answer:

A) 0

B) 1

C) 3

Step-by-step explanation:

edge 2023

The total amount Austin to pay if she were to buy 7 snacks for everybody to share is $119.

What is a numerical expression?

Mathematical operations like addition, subtraction, multiplication, and division can be used to mix integers and numbers to create a numerical expression.

Here, we have

Given,

Austin is going to see a movie and is taking his 5 kids.

Each movie ticket costs $14 and there is an assortment of snacks available to purchase for $5 each.

The total amount Austin to pay if he were to buy 7 snacks for everybody to share is,

= (14×7) + (3×7)

= 98 + 21

= $119

Hence, the total amount Austin to pay if she were to buy 7 snacks for everybody to share is $119.

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This statement describes a period known as the Scientific Revolution.

The Scientific Revolution: What Was It?

The 16th and 17th centuries saw a radical shift in scientific ideas that is known as the Scientific Revolution.

                 During the Scientific Revolution, a new understanding of nature replaced the Greek perspective that had dominated science for nearly two thousand years.

The Scientific Revolution was absent?

The Enlightenment, an intellectual and social movement, was influenced by the scientific revolution, which started in Europe at the end of the Renaissance and lasted until the late 18th century.

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Answer:A function can be transformed to another through dilation, reflection, translation, and rotation.   Belongs to the quadratic family. The following is the comparison of  and its parent function

Both functions are quadratic

The parent function is vertically stretched by 2, rotated along the x-axis and then translated up by 3 units.

Step-by-step explanation:

I don't think this is right

Answer:

The possible pairs of numbers that satisfy the given conditions are (x, y) = (4, 2) and (x, y) = (8, -2).

Step-by-step explanation:

To solve this problem, we can use algebra. Let's call the two numbers x and y. We are given that x + y = 6 and x^2 + y^2 = 28. We can square the equation x + y = 6 to get x^2 + 2xy + y^2 = 36. We can then subtract the equation x^2 + y^2 = 28 from the equation x^2 + 2xy + y^2 = 36 to get 2xy = 8. We can then divide both sides by 2 to get xy = 4.

We can then use the equation x + y = 6 to write x = 6 - y, which we can substitute into the equation xy =  to get (6 - y)y = 4. Solving this equation for y yields y = 2 or y = -2.

If y = 2, then x = 6 - y = 6 - 2 = 4, so the two numbers are x = 4 and y = 2. If y = -2, then x = 6 - y = 6 + 2 = 8, so the two numbers are x = 8 and y = -2. Therefore, the possible pairs of numbers that satisfy the given conditions are (x, y) = (4, 2) and (x, y) = (8, -2).

Answer:

The correct answer is A (x+1)(7x-10).  

Step-by-step explanation:

To determine the dimensions of a rectangular poster that will cover an area represented by 7x² + 3x - 10, we need to find the factors of the expression 7x² + 3x - 10 that will give us the length and width of the poster.

One way to do this is to factor the expression 7x² + 3x - 10 using the difference of squares method. We can write the expression as follows:

7x² + 3x - 10 = (7x² + 3x) - 10

To factor (7x² + 3x) - 10, we can write the expression as the difference of squares:

(7x² + 3x) - 10 = (7x² + 3x + 10) - (10 + 10)

To simplify the expression, we can complete the square for the terms in parentheses:

(7x² + 3x + 10) - (10 + 10) = (7x² + 3x + 10) - 20

To complete the square, we need to add and subtract the square of half the coefficient of the x term, which is (3/2)² = 9/4. We can rewrite the expression as follows:

(7x² + 3x + 10) - 20 = (7x² + 3x + 10 + 9/4) - (20 - 9/4)

To simplify the expression, we can factor the terms in parentheses:

(7x² + 3x + 10 + 9/4) - (20 - 9/4) = [(7x² + 3x + 10 + 9/4) - (20 - 9/4)]

To simplify the expression further, we can factor out a common factor:

[(7x² + 3x + 10 + 9/4) - (20 - 9/4)] = (x + 1)(7x - 10)

From the given options, the expression that represents the area of the rectangular poster is (x+1)(7x-10), which is equivalent to 7x² + 3x - 10. We can verify this by multiplying (x+1)(7x-10) to get 7x² + 3x - 10. Therefore, the correct answer is A (x+1)(7x-10).

The first and second numbers are -10 and 10, respectively. because their difference is zero

What is unitary method?

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape.

On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.

Consider your square as being composed of smaller unit squares.

The number of unit squares necessary to completely cover the surface area of a specific 2-D shape is used to calculate the area of a figure. Some typical units for measuring area are square cms, square feet, square inches, square meters, etc.

Draw unit squares with 1-centimeter sides in order to calculate the area of the square figures shown below. The shape will therefore be measured.

According to our question-

Let us consider that first number is x and second number is y.

Hence, The first and second numbers are -10 and 10, respectively.

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The domain of the function is all negative real number and zero.

A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.

The given function

ƒ(x) = √−2x

The domain of the expression is all real numbers except where the expression is undefined.

And here, when x is positive real number then field changes to complex.

That means the function is undefined in real field when x is not negative or zero.

Therefore, the domain of the function is all negative real number and zero.

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Answer: x=4, y=4

Step-by-step explanation:

y+12=4y

x+36=10x

solve for y

y+12-12=4y-12

y=4y-12

y-4y=4y-4y-12

-3y=-12

y=4

Solve for x

x+36=10x

x+36-36=10x-36

x=10x-36

x-10x=10x-10x-36

-9x=-36

x=4

Answer:

The ball will return to the ground at t = 16 seconds, so the correct answer is D.

Step-by-step explanation:

To find when the ball will return to the ground, we need to find the time at which the ball's height is equal to 0. We can do this by setting the height equation equal to 0 and solving for t.h = -16t^2 + 100t + 2

0 = -16t^2 + 100t + 2

-2 = -16t^2 + 100t

-0.125t = -2

t = 16

Answer:

B. 6.3 sec

Step-by-step explanation:

To find the time when the ball will return to the ground, we need to find the value of t when h is equal to 0 (since height = 0 means the ball is on the ground). We can do this by substituting 0 for h in the given equation and solving for t.

So, let's start by substituting 0 for h:

h = -16t^2 + 100t + 2

0 = -16t^2 + 100t + 2

-16t^2 + 100t + 2 = 0

This is a quadratic equation, which we can solve using the quadratic formula:

t = (-100 +/- sqrt(100^2 - 4(-16)(2)) ) / (-2(-16))

t = (-100 +/- sqrt(10000 + 128)) / 32

t = (-100 +/- sqrt(10128)) / 32

t = (-100 +/- 100.64) / 32

t = (200.64) / 32

t = 6.3125

Since the ball is projected into the air and then falls back down to the ground, the time when it returns to the ground must be a positive value. Therefore, the solution to the problem is t = 6.3 sec

The null and alternative hypothesis for testing to see if there is a relatonsip between age and opinion for the question asked by gallup is Divorce Opinions and Gender I.

We introduce the results of a

May 2010 Gallup poll of 1029 US adults. When asked if they view divorce as “morally acceptable”,

71% of the men and 67% of the women in the sample responded yes. In the test for a difference in

proportions, a randomization distribution gives a p-value of 0.165. Does this indicate a significant

Solution

If we use a 5% significance level, the p-value of 0.165 is not less than α = 0.05 so we would not

reject H0 : pf = pm. This means the data do not show significant evidence of a difference in the

proportions of men and women that view divorce as “morally acceptable”

Solution

(a) The p-value (0.003) is small so the decision is to reject H0 and conclude that the mean recall

for sleep (¯xs = 15.25) is different from the mean recall for caffeine (¯xc = 12.25). Since the mean

for the sleep group is higher than the mean for the caffeine group, we have sufficient evidence to

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Whats the problem put a proper question

Answer:

(9 x 100) + (5 x 10) +  (0 x 1) + (9/10) + (5/100)

hope this helps brainliest <3

Answer:

Step-by-step explanation:

Answer:

19 times j

Step-by-step explanation:

To combine 3 times j and 16 is 7 times j, we can add the two expressions together:

3 times j + 16 is 7 times j = (3 + 16) times j = 19 times j

Therefore, the combined expression is 19 times j.

Answer: The diver descended 20 meters below sea level and then ascended 8 meters.

Step-by-step explanation: The expression 2 + (-20) + 8 describes the diver's movements in relation to sea level. The first number, 2, represents the diver's initial position at sea level. The second number, -20, represents the diver's descent below sea level by 20 meters. The third number, 8, represents the diver's ascent back up to sea level. This can be interpreted as the diver starting at sea level, descending 20 meters below sea level, and then ascending 8 meters back up to sea level.

Answer:

E

Step-by-step explanation:

Based on the given linear regression equation, Bill's score on the final exam would be calculated as follows:

y = 10 + 0.9 * 90 = 98

Answer:

Step-by-step explanation:

To be honest I would help but I can't. Although the question looks familiar

The type of reasoning used to prove the remainder theorem is; Deductive reasoning

Logical reasoning involves using a given set of facts or data to deduce other facts by reasoning logically

There are 4 major types of reasoning here and they are;

1) Deductive reasoning; This is defined as a logical process in which a conclusion is based on the concordance of multiple premises that are generally assumed to be true.

2) Inductive reasoning; This is a method of drawing conclusions by going from the specific to the general.

3) Abductive reasoning; This is defined as a syllogism in which the major premise is evident but the minor premise and therefore the conclusion only probable.

4) Reasoning by analogy; This involves using a well known situation to assert something about a less well understood situation

In this case, we are told that since (x - 5) is a factor of the polynomial x² - 25, if he performs the long division (x² - 25) ÷ (x - 5), the remainder would be zero.

Now, this is an example of deductive reasoning because it has used the initial premise to draw a conclusion on the remainder.

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Standard error for sample proportion = √{[p₁/p₂(1-p₁/p₂)]/2}

What means standard error?

Standard error is a statistical statement that express the accuracy of an estimation resulting from survey study. It indicates how much a sample means is differ from actual population mean.

How to calculate standard error?

We calculate standard error for the two-survey group by using the following formula.

√[p(1-p)/n]

p is the proportion of freshmen living on campus to the freshmen living off campus

p = p₁/p₂

According to the given question:

p₁ = freshmen living on campus

p₂= freshmen living off campus

n= number of survey group

n=2

hence, standard error =√{[p₁/p₂(1-p₁/p₂)]/2}

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two buses leave towns miles apart at the same time and travel toward each other. then the Rate of first bus = 72 mph and Rate of second bus  = 62 mph

let first bust travels at x mph

then,  2nd but will travel at ( x - 10) mph

distance travelled by first bus in 2 hours = 2x

distance travelled by 2nd but in 2 hours = 2( x- 10) = 2x - 20

distance between the two is 268 miles

so we can write

2x + 2x - 20 = 268

4x = 288

x = 288 / 4 = 72 mph

rate of first bus = 72 mph

and second bus = 72 - 10 = 62 mph

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Answer:

$25.30(0.08) = $2.024. I hope this helped! $27.32 + $4.92 = $32.24 in total! I hope this helped

Step-by-step explanation:

The equation that shows the relationship is y = 6 + x

From the question, we have the following parameters that can be used in our computation:

Initial number of pieces = 6

Additional number of pieces per week = 1

The equation that shows the relationship is represented as

Number of pieces = Initial number of pieces + Additional number of pieces per week * Number of weeks

Substitute the known values in the above equation, so, we have the following representation

Number of pieces = 6 + 1 * Number of weeks

So, we have

Number of pieces = 6 + Number of weeks

Using the representations:

We have

y = 6 + x

Hence, the equation is y = 6 + x

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Answer:

[tex]\textsf{Improper fraction}: \quad \dfrac{53}{6}[/tex]

[tex]\textsf{Mixed number}: \quad 8\frac{5}{6}[/tex]

Step-by-step explanation:

Definitions

If each bag holds 6 toys and Edgar has 53 toys, to find how many bags Edgar will fill, divide 53 by 6.

To write this as an improper fraction, place 53 as the numerator and 6 as the denominator:

[tex]\implies \dfrac{53}{6}[/tex]

As 53 is a prime number, its only factors are 1 and 53.  Therefore, the improper fraction cannot be reduced any further.

Rewrite 53 as the sum of 48 and 5:

[tex]\implies \dfrac{53}{6}=\dfrac{48+5}{6}[/tex]

[tex]\textsf{Apply the fraction rule} \quad \dfrac{a+b}{c}=\dfrac{a}{c}+\dfrac{b}{c}:[/tex]

[tex]\implies \dfrac{48}{6}+\dfrac{5}{6}[/tex]

Divide 48 by 6:

[tex]\implies \dfrac{6 \cdot 8}{6}+\dfrac{5}{6}[/tex]

[tex]\implies 8+\dfrac{5}{6}[/tex]

Write as a mixed number:

[tex]\implies 8\frac{5}{6}[/tex]