Julieta reads for 3/4 of an hour for 6 days in a row. How much time does she
spent reading altogether?

The percent increase in population of the city is 17%.

A percentage in mathematics is a quantity or ratio that is stated as a fraction of 100 (from the Latin per centum, "by a hundred"). A percentage lacks dimensions and has no associated unit of measurement.

For instance, 45% (written as "forty-five percent") equates to the fraction \(\frac{45}{100}\)  .

The percentage increase is calculated by the ratio of the increase to the original value. So to calculate the percent increase in the population of a city we have to find the ratio of the increase in population to the original population.

The population of the city is given as 117,000 .

The population increased to 136890.

Increase in population=136890-117000=19890

percentage increase in population

\(=\frac{19890}{117000} \times 100\%\)

= 0.17×100%

=17%

The percent increase in the population of the city is 17%.

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It is most important to have a random sample in inferential statistics, particularly in making statistical inferences about a population based on the sample data.

Random sampling is a critical component of inferential statistics because it helps to ensure that the sample is representative of the population. When a sample is randomly selected, each member of the population has an equal chance of being included in the sample, which reduces the risk of bias in the results. Without a random sample, the results of statistical analyses may not be accurate or generalizable to the population, and the conclusions drawn from the data may be flawed or misleading.

Therefore, random sampling is crucial in making valid statistical inferences about a population.

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Note: 1.8 = 9/5

===========================================================

Explanation:

This problem may be strangely worded, so I'll try to phrase it differently. That part will come in a later section below (specifically section 3).

For now, let's just find the probability of finding two white marbles if we replace the first marble chosen. We consider this a "replacement" situation.

We have 5 blue, 3 red and 2 white marbles. That means 5+3+2 = 10 total. The probability of picking white is 2/10 = 1/5. Since the first marble is replaced, the probability of picking white the second time is still 1/5.

The probability of picking two white marbles is (1/5)*(1/5) = 1/25 = 0.04 = 4%

---------------------------------

Now let's consider a "no replacement" situation. We won't put the marble back, or we won't replace it with an identical copy. After the first marble is picked, we have 10-1 = 9 marbles left and 2-1 = 1 white marble left.

The probability of getting white on the second selection, after no replacement is made, is 1/9 instead of 2/10 = 1/5

The probability of getting two white marbles in this scenario is (2/10)*(1/9) = (2*1)/(10*9) = 2/90 = 1/45 = 0.0222 = 2.22% approximately

We can see that there is a difference in probabilities between "replacement" and "no replacement" when we pick two white marbles like this.

---------------------------------

The fractional answer to the first section was 1/25. Let A = 1/25

The fractional answer to the second section was 1/45. Let B = 1/45

A and B are the probabilities for "replacement" vs "no replacement" in that order.

Your teacher wants to know how many times greater the value of A is compared to B.

In symbols, your teacher wants to know the value of k in the equation A = Bk

So...

A = Bk

1/25 = (1/45)k

1/25 = k/45

1*45 = 25*k

45 = 25k

25k = 45

k = 45/25

k = (9*5)/(5*5)

k = 9/5

k = 1.8

Either the fractional or decimal version of k would work as the answer. It might sound better if you go with the decimal version, though again, both values are equivalent.

The value of A is 1.8 times greater compared to the value of B.

Answer:

your answer is -2x-13y^2

Step-by-step explanation:

Answer:

1. 1/7

2. 1/4

Step-by-step explanation:

maths

Answer:

She will lose 24 pounds.

Step-by-step explanation: She loses 4 pounds each month. She does this for 6 months. So, you would do 4 x 6 = 24. Hope this helps ^-^.

Answer:

A

Step-by-step explanation:

If the mean number of people who attended three basketball games was 8,242, that means the sum of the number of people who attended all three games is equal to 8,242 multiplied by the number of games, which is 3.

What does math mean?

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

Total attendance = mean attendance * number of games

Total attendance = 8,242 * 3

Total attendance = 24,726

So the total attendance at the three games is 24,726 people.

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Given:

The boat heads west for 3700 m. The other two sides lie the north for the first side, and their lengths are 1700m and 3000m.

The diagram for this model is

Using cosine law to find the angle of C.

Taking square on both sides, we get

Substitute a=1700, b=3000 and c=3700, we get

Hence the measure of angle C is 100.2 degrees.

Using sine law,

Substitute a=1700, b=3000 and c=3700, and angle C=100.2 degrees, we get

Consider

Hence the angle of A is 27.3 degrees.

Using triangle sum property, we get

Hence the angle of B is 52.5 degrees.

Results:

Answer:

$1.90

Step-by-step explanation:

16.80 - 1.60 = 15.20, since we are finding the price of each bottle of juice.

1) Set up and equation equated to 15.20.

8x = 15.20

x = 15.20/8

x = 1.90

Therefore, each bottle of juice costs $1.90.

Answer:

"line" a straight line graph is always linear once the line isn't straight, it'll no longer be called a line and will never be linear anymore

Answer:

it is linear because it has a constant rate of change

Step-by-step explanation:

To find the estimated project completion time for the given project activities, we need to first calculate the earliest start and earliest finish times and then the latest start and latest finish times.

Using the activity times given, we can calculate the earliest start and earliest finish times for each activity as follows: Activity A: Earliest start time = 0

Earliest finish time = 1

Activity B: Earliest start time = 2

Earliest finish time = 5

Activity C: Earliest start time = 5

Earliest finish time = 11

Activity D: Earliest start time = 11

Earliest finish time = 17

Activity E: Earliest start time = 5

Earliest finish time = 8 Activity F:

Earliest start time = 8

Earliest finish time = 17

Now we can calculate the latest start and latest finish times for each activity using the backward pass.

Latest finish time = 5

Latest start time = 2

Activity A: Latest finish time = 1

Latest start time = 0

Now we can calculate the slack time for each activity as follows:Activity A:

Slack time = 0

Activity B: Slack time = 0

Activity C: Slack time = 0

Activity D: Slack time = 0

Activity E: Slack time = 3

Activity F: Slack time = 0

The critical path for this project is A -> C -> D, since these activities have zero slack time. Therefore, the estimated project completion time is 17 units of time.

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False. The columns of matrix P are not necessarily eigenvectors of matrix A. While the diagonal matrix D contains the eigenvalues of A, the eigenvectors are not explicitly determined by the columns of P.

False. The columns of matrix P are not guaranteed to be eigenvectors of the transpose of matrix A (A.T).

In the given equation, \(a = PDP^(-1),\)

where D is a diagonal matrix and P is an invertible matrix.

The diagonal elements of D represent the eigenvalues of matrix A, while the columns of P correspond to the eigenvectors of A.

When considering the transpose of matrix A (A.T), we have \((A.T) = (PDP^(-1)).T = (P^{(-1)})^T D^T P^T.\)

Taking the transpose of a product involves reversing the order of the matrices and transposing each matrix individually.

Therefore, we have \((A.T) = P^T D^T (P^{(-1)})^T.\)

Since P is an invertible matrix, its transpose \(P^T\) is also invertible. Similarly, the transpose of the inverse of \(P, (P^{(-1)} )^T,\) is also invertible.

However, the key point is that the diagonal matrix\(D^T\) is not guaranteed to have the same eigenvalues as matrix A.

The eigenvalues of A are present in D, but they may not remain on the main diagonal after transposing.

Thus, the columns of matrix P, which correspond to the eigenvectors of A, may not necessarily be the eigenvectors of A.T.

In conclusion, the statement is false.

The columns of matrix P do not have to be eigenvectors of the transpose of matrix A (A.T).

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Answer:

-1

Step-by-step explanation:

From 10 to 8.5   is  - 1.5  

   this is -1   S.D.   below the mean

(8.5 - 10)/1.5 = -1

The journal entry on April 13, to record the payment of the amount owed would be: Debit Credit Account Receivable$2,637 (2% discount on $2,700) Cash$2,584 [(Cost of Merchandise - return) - discount] Cost of Merchandise$2,700 Inventory $2,700 (original price of merchandise purchased)

On April 5, Fair Coffee, Incorporated purchased merchandise with a list price of $2,700 and credit terms 2/10, n/30. On April 6, Fair Coffee returns $100 of the merchandise.On April 5, Fair Coffee, Incorporated purchased merchandise with a list price of $2,700 and credit terms 2/10, n/30. The company receives a discount of 2% if they pay within 10 days.On April 6, Fair Coffee returns $100 of the merchandise. The company will deduct the return amount from the cost of merchandise they will pay for.On April 13, the company is making payment of the amount owed. Since the company is eligible for a discount of 2% as they are paying within 10 days. The journal entry would be to debit the Account Receivable for the amount after deducting the discount and credit the cash account for the amount they are paying. The cost of merchandise purchased account would be credited with the original amount and inventory would be debited for the same amount.

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Answer:Exact Form:  x = ± √ 41 − 7

Decimal Form:

x = − 0.59687576 … , − 13.40312423 …

Step-by-step explanation:Use the formula  

in order to create a new term. Solve for  x  by using this term tocompletethe square.

Exact Form:  x = ± √ 41 − 7

Decimal Form:

x = − 0.59687576 … , − 13.40312423 …

Therefore, the function ball hurled from ground level strikes the ground at times t = 0 and t = 4 seconds, while the ball thrown from the building's top strikes the ground at t = 6 seconds.

Integers, their subtypes, and arithmetic are all studied in mathematics, along with the region's anatomy, formations, and both real and hypothetical places. A function describes how various variables, each with its own corresponding result, are related to one another. A function is composed of an array of parts that, when combined, result in a distinct output for each input.

Here,

Part A: We can finish the square to rewrite f(t) = -4t2 + 16t in vertex form as follows:

f(t) = -4(t² - 4t + 4) + 16

f(t) = -4(t - 2)² + 16

Consequently, f(tedge )'s is (2, 16). This indicates that the ball can be hurled from ground level up to a height of 16 feet.

We can also finish the square for g(t) = -16t2 + 64t + 192 to rewrite the function in vertex form:

g(t) = -16(t² - 4t - 12) + 192

g(t) = -16(t - 2)² + 256

The ball is thrown from the top of the building and achieves a higher maximum height because 256 is larger than 16.

Section B: t = 0 or t = 4 or f(t) = -4t2 + 16t = 0

t2 - 4t - 12 = 0 (t - 6)(t + 2) = 0 g(t) = -16t2 + 64t + 192 = 0

t = 6 or t = -2

As a result, the ball hurled from ground level strikes the ground at times t = 0 and t = 4 seconds, while the ball thrown from the building's top strikes the ground at t = 6 seconds.

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The values of x and y for fig. 1) is 5/4 and 4/7, for fig. 2) x = 15, y = 4 and for fig. 3) x = 3 and y = 2

Thales's Theorem or Basic Proportionality Theorem states that if a line is drawn parallel to one side of a triangle intersecting the other two sides in distinct points, then the other two sides are divided in the same ratio.

Given are three figures of triangles,

Figure 1)

5/x+5 = 8/10

50 = 40+8x

x = 5/4

y = 7/7+y = 8/10

70 = 56 +8y

y = 4/7

Figure 2)

12/12+y = 18/18+6

12/12+y = 18/24

48 = 36 +3y

y = 4

12/4 = x/5

x = 15

Figure 3)

y/4 = 1.5/3

y = 2

x/6 = 1.5/3

x = 3

Hence, the values of x and y for fig. 1) is 5/4 and 4/7, for fig. 2) x = 15, y = 4 and for fig. 3) x = 3 and y = 2

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Answer: Please see explanation column for answer.

x= -36

Step-by-step explanation:

Step 1

from the attachment, Mai's solving is given as

1/3 (1/2x- 9) = 1/2 (x+18)

1/6x-3= 1/2x+9

1/4x-3=9

1/4x=12

x=48

Mai's error started when he subtracted wrongly 1/2 x from 1/6x which gave him 1/4 x instead of - 1/3 x.

Solving correctly, we have that

1/3(1/2x-9) = 1/2(x+18)

1/6x -3= 1/2x+ 9

taking like terms to like terms

1/6x-1/2x= 9+3

(1-3)/6x= 12

-2/6x= 12

-1/3x= 12

multiplying both sides by -3

-1/3x X -3 = 12 X -3

x= -36

Answer:

Rational

Step-by-step explanation:

A number is rational when the number can be displayed as a ratio!

Answer:

b = $2.40

d = $5.70

Step-by-step explanation:

d = hot dog and b = hot dog buns

Equations:

2d + 5b = $23.40

3d + 2b = $21.90

-------------------------------subtract these two equations

-d + 3b = $1.50

3b - $1.50 = d

Substitute:

3d + 2b = $21.90

3(3b - $1.50) + 2b = $21.90

9b - $4.50 + 2= $21.90

11b = 26.40

b =  $2.40

Substitute again but this time with b:

3d + 2b = $21.90

3d + 2($2.40) = $21.90

3d + $4.80 = $21.90

3d = $21.90

d = $5.70

Answer:

29: 49

Step-by-step explanation:

Since x:y= 3:5,

\( \frac{x}{y} = \frac{3}{5}\)

Cross multiply:

\(5x = 3y\)

Divide by 5 on both sides:

\(x = \frac{3}{5} y\)

\( \frac{3x + 4y}{8x + 5y} \\ = \frac{3( \frac{3}{5}y) + 4y }{8( \frac{3}{5}y) + 5y } \\ = \frac{ \frac{9}{5}y + 4y }{ \frac{24}{5}y + 5y } \\ = \frac{9y + 5(4y)}{24y + 5(5y)} \\ = \frac{9y + 20y}{24y + 25y} \\ = \frac{29y}{49y} \\ = \frac{29}{49} \)

Thus, 3x+4y: 8x+5y= 29: 49.

The top right graph could show the arrow's height above the ground over time.

The initial and the final height are both at eye level, which is the reference height, that is, a height of zero.

This means that the beginning and at the end of the graph, it is touching the x-axis, hence either the top right or bottom left graphs are correct.

The trajectory of the arrow is in the format of a concave down parabola, hitting it's maximum height and then coming back down to eye leve.

Hence the top right graph could show the arrow's height above the ground over time.

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Answer:

1) 40%, increase

2) a)20%

3) True

Step-by-step explanation:

Rounding to the nearest tenth, the area of the triangular windowpane is approximately 8.2 square feet.

To find the area of a triangular windowpane, we need to use the formula for the area of a triangle, which is:

Area = (1/2) x Base x Height

In this case, the base is 4 feet 8 inches and the height is 3 feet 6 inches. However, we need to convert these measurements to the same units before we can calculate the area. Since there are 12 inches in 1 foot, we can convert the measurements as follows:

Base = 4 feet + 8 inches/12 = 4.67 feet

Height = 3 feet + 6 inches/12 = 3.5 feet

Now we can plug in these values into the formula and calculate the area:

Area = (1/2) x 4.67 feet x 3.5 feet

Area = 8.1675 square feet

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Categorical data is data that can be divided into different categories. Examples of categorical data include hair color, number of suitcases on a plane, tree height, and amount of rainfall.

Hair color would be classified as categorical data because it can be divided into categories such as black, brown, blonde, and red. Number of suitcases on a plane would also be classified as categorical data because the amount of suitcases can be divided into categories such as 0, 1, 2, 3, etc. Tree height would be classified as categorical data as it can be divided into categories such as small, medium, and large. Amount of rainfall would also be classified as categorical data as it can be divided into categories such as light rainfall, moderate rainfall, and heavy rainfall.

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Answer:

D -2

Step-by-step explanation:

any triangle inscribed into a half-circle is a right-angled triangle.

that means the triangle angle at B is 90°.

so, BC and AB are always perpendicular to each other (90° crossing angle).

remember, when the original slope is y/x, then the perpendicular slope is -x/y.

so, in our case the original slope of BC is 1/2.

therefore, the perpendicular slope (the slope of AB) is then

-2/1 = -2

volume of cylinder: π * radius² * height

=============

⇒ π * 4² * 4

⇒ π * 16 * 4

⇒ 64π

Thus the volume of cylinder is 64π cm³

Question :-

Answer :-

\( \rule{180pt}{4pt}\)

Diagram :-

\(\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{4 \: m}}\put(9,17.5){\sf{4 \: m}}\end{picture}\)

Solution :-

As per provided information in the given question, we have been given that the Radius of a cylinder is 4 m. The height of a cylinder is 4 m. We have been asked to find the volume of a right cylinder.

To calculate the volume of a right cylinder, we will apply the formula below :-

\( \bigstar \: \: \: \boxed{ \sf{ \: \: Volume_{(Cylinder)} = \pi r^2 h \: \: }}\)

Substitute the given values into the above formula and solve for Volume :-

\(\sf:\implies Volume_{(Cylinder)} = \pi r^2 h\)

\(\sf:\implies Volume_{(Cylinder)} = \pi \times (4 \: m)^2 \times 4 \: m \)

\(\sf:\implies Volume_{(Cylinder)} = \pi \times 16 \:m^2 \times 4 \: m \)

\(\sf:\implies Volume_{(Cylinder)} = \pi 64 \: m^3\)

\(\sf:\implies\bold{Volume_{(Cylinder)} = 64\pi \: m^3}\)

Therefore :-

\(\\\)

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