3984 is what percent of 24.9?

Answer:

21

Step-by-step explanation:

The equation to find the area of a space is length x width. Divide the total area by the width to find the length.

The first student Z-score= 1.31, the second student= -0.82, the third student = 2.35, the fourth student = -0.37. None of these scores are unusual.

In statistics, a Z-score (also known as a standard score) is a measure of how many standard deviations a data point is from the mean of a population or sample. The Z-score is calculated by subtracting the mean from the data point and then dividing by the standard deviation.

A Z-score of 0 indicates that the data point is equal to the mean, while positive Z-scores indicate that the data point is above the mean and negative Z-scores indicate that the data point is below the mean.

Z-scores are often used in statistics to standardize data so that it can be compared across different populations or samples. Z-scores can also be used to identify outliers, which are data points that are unusually far from the mean and may skew the analysis of the data.

To find the z-score for each student, we use the formula:

z = (x - μ) / σ

where x is the student's score, μ is the mean test score, and σ is the standard deviation.

For the first student with a score of 1940:

z = (1940 - 1534) / 310

z = 1.31

For the second student with a score of 1280:

z = (1280 - 1534) / 310

z = -0.82

For the third student with a score of 2260:

z = (2260 - 1534) / 310

z = 2.35

For the fourth student with a score of 1420:

z = (1420 - 1534) / 310

z = -0.37

To determine if any of these values are unusual, we can use the rule of thumb that considers any z-score greater than 3 or less than -3 to be unusual.

None of the z-scores calculated above are greater than 3 or less than -3, so we can conclude that none of these scores are unusual.

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The value of x from the calculation is given as 10

We have ∠TUV = ∠STU + ∠UST

(7x+6) = (3x+14) + (2x+12)

open the bracket

7x+6 = 3x+14 + 2x+12

take the like terms

7x + 6 = 3x + 2x + 14 + 12

7x + 6 = 5x + 26

7x - 5x = 26 - 6

2x = 20

Divide through the equation that we have by 2 to get the value of x

2x / 2 = 20 / 2

x = 10

Hence the value of x is given as 10

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An insurance company's anticipated total profit from a single of these policies is $0.08.

Describe insurance. Insurance is a tool for risk management. You acquire security against unforeseen financial losses when you purchase insurance. If something terrible occurs to you, the insurance company compensates you or someone else of your choosing.

The expected net gain can be calculated as:

E(X) = P(Claim) × Net gain (Claim) + P(No claim) × Net gain (No claim)

P(Claim) = 1/500

P(No claim) = 1 - P(Claim) = 499/500

Net gain (Claim) = -$4960 + $5000 = $40

Net gain (No claim) = $40 - $40 = $0

Therefore,

E(X) = (1/500) × $40 + (499/500) × $0

E(X) = $0.08

So the expected net gain for the insurance company from one of these plans is $0.08.

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Answer:

30 dollars

Step-by-step explanation:

Khan Academy

The given statement is false. The solution has been obtained by using the concept of triangulation.

What is triangulation?

Based on the principles of trigonometry, triangulation is a technique used to locate a fixed point. According to these principles, it is possible to compute the other two sides and angle of a triangle if just one side and two angles of the triangle are known.

We are given a statement that to use the method of triangulation you need measurement from at least three locations.

The statement is false because for this, we need only two points.

Hence, the given statement is false.

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Question: To use the method of triangulation, you need measurements from at least three other locations.

A.True

B.False

Answer:

Step-by-step explanation:

The answer is not 855.3^2cm

Answer:    i am pretty sure it is 33

Step-by-step explanation:

The calculated value of probability, P(X≥10) is option b) 0.1666

Probability refers to possibility. The subject of this mathematical discipline is the occurrence of random events. An event is occur by a chance.

Since the given distribution is uniform, the percentage of data set lying between any two consecutive values of X is given by:

[tex]= \frac{100\ \% }{Maximum \ possible\ X - minimum\ possible\ X}[/tex]

[tex]= \frac{100\ \%}{(12\ -\ 0)}[/tex]

[tex]= \frac{100\ \%}{12}[/tex]

[tex]= 8.33\ \%[/tex]

The probability of X having a value that is greater than or equal to 10 i.e.

P(X≥10) is given by:

[tex]= (12- 10) * Percentage \ of data set \ lying\ between \ any two \ values \ of\ x[/tex]

[tex]=2*8.33\%[/tex]

[tex]=16.66\%[/tex]

[tex]=0.1666[/tex]

The calculated value of probability, P(X≥10) is 0.1666.

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The area of the shaded portion in the image of right triangle attached is solved to be 401.85 square millimeters

The area of the shaded portion is solved by subtracting the area of the smaller triangle from the area of the bigger triangle

The area of a triangle is solved using the formula

= 0.5 base * height

Information given in the problem  

base1 = 24.8

base2 = 15.9

height1 =  34.2 mm

height2 = 21.9

where

base1 and height1 are for the bigger triangle while

base2 and height2 is for smaller triangle

area of shaded portion = 0.5(24.8 * 34.2) - 0.5(15.9 * 21.9)

area of shaded portion = 418.95 - 174.105

area of shaded portion =401.845

area of shaded portion = 401.85 square millimeters

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Answer:

a)3,6,9,12,15

b)9,18,27,36,45

c)14,28,42,56,70

Step-by-step explanation:

multiply each of it with 1,2,3,4 and 5 :)

Answer:

3-3,6,9,12,15

9-9,18,27,36.45

14-14,28,42,56.70

Answer:

Here is the answer for the following question:

The area of triangle PYR, obtained using the formula for the area of a triangle; A = (1/2)·a·b·sin(C), is about 87.85 square units

The area of a triangle is the product of half multiplied by the base length and the height of the triangle. The height of the triangle is the length of a side of the triangle multiplied by the sine of the included angle between two sides of the triangle.

The dimensions in the triangle indicates that we get;

Length of the side PQ = 36

Length of the side PR = 22

PQ = QM + MP (Segment addition postulate)

MQ ≅ MP (Definition of bisected segment PQ)

MQ = MP (Definition of congruent segments)

PQ = MP + MP (Substitution property)

PQ = 2 × MP

PQ = 36

36 = 2 × MP

2 × MP = 36

MP = 36/2 = 18

MP = 18

Length of the segment, MY = 8

The Pythagorean Theorem indicates that we get;

PY = √(18² + 8²) = 2·√(97)

∠MPY = arctan(8/18) ≈ 23.92°

Therefore; ∠YPR ≈ 23.92°

The area, A, of the triangle PYR can be obtained from the formula;

A = (1/2)·a·b·sin(C)

The area of the triangle PYR is therefore;

A ≈ (1/2) ×  (2·√(97)) × 22 × sin(23.92°) ≈ 87.85

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The Consumer Price Index (CPI) for All Urban Consumers grew by 9.1%. The all items index rose 9.1%, the largest annual increase since the year that ended in November 1981.

A consumer price index can be defined as a measure of a market basket of goods and services that households have purchased at a weighted average price. The measured CPI fluctuates(differs) to reflect changes in prices over time.

The CPI is one of the most widely(popularly) used indicators of inflation and deflation.

[tex]Annual\ CPI = \frac{Value\ of Basket\ in \ Current \Year}{Value\ of Basket\ in \ Prior\ Year} *100[/tex]

[tex]Inflation\ Rate = \frac{New \ CPI - Prior\ CPI}{Prior\ CPI} *100[/tex]

It is one of the most used methods for measuring inflation and reveals the state and trajectory of the economy.

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The statement "The Poisson distribution is always skewed right" is incorrect. Option A

The Poisson distribution is a discrete probability distribution that is used to model the probability of a given number of events occurring in a fixed interval of time or space, assuming that the events occur independently and at a constant rate.

The key features of the Poisson distribution include:

The statement "The Poisson distribution is always skewed right" is incorrect.

The Poisson distribution can be skewed left, right, or approximately symmetric depending on the value of its parameter lambda. If lambda is small, the distribution will be skewed right. If lambda is large, the distribution will be approximately symmetric.

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Parallelogram, In Euclidean geometry, a parallelogram is a simple quadrilateral with two(2) pairs of parallel sides.

A parallelogram is a geometric object with sides that are parallel to one another in two(2) dimensions. It is a form of a polygon with four(4) sides (sometimes known as a quadrilateral) in which each parallel pair of sides have the same length.

A Quadrilateral is a closed shape and a type of polygon that has four sides, four(4) vertices and four angles. It is formed by joining(connecting) four non-collinear points. The sum of the interior angles of quadrilaterals(4 sides) is always equal to 360 degrees.

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Answer:

hole at (- 1, - 4 )

Step-by-step explanation:

If f(x) has terms that cancel , on the numerator/ denominator then a discontinuity  corresponding to that factor is removable and there is a hole.

f(x) = [tex]\frac{x^2-2x-3}{x^2+3x+2}[/tex] ← factor numerator and denominator

    = [tex]\frac{(x-3)(x+1)}{(x+2)(x+1)}[/tex] ← cancel (x + 1) on numerator/ denominator

   = [tex]\frac{x-3}{x+2}[/tex]

this indicates that x + 1 = 0 ( or x = - 1) is a removable discontinuity and the graph has a hole in it.

substitute x = - 1 into the remaining f(x) for y- coordinate of hole

f(- 1) = [tex]\frac{-1-3}{-1+2}[/tex] = [tex]\frac{-4}{1}[/tex] = - 4

coordinates of hole are (- 1, - 4 )

Answer:

Yes, this function has one hole

This occurs at [tex](-1, -4)[/tex]

Step-by-step explanation:

Definition of hole
A hole on a rational function represents the fact that the function approaches the point, but is not actually defined on that precise x value.

Given function
[tex]f(x) = \dfrac{x^2-2x\:-3}{x^2+\:3x\:+\:2}\\[/tex]

Factor the numerator:
[tex]x^2 - 2x - 3 = (x+1)(x - 3)[/tex]

Factor the denominator:
[tex]x^2+\:3x\:+\:2 = (x + 1)(x + 2)[/tex]

Hence

[tex]\begin{aligned}f(x) & = \dfrac{x^2-2x\:-3}{x^2+\:3x\:+\:2}\\\\& = \dfrac{ (x+1)(x - 3)}{(x + 1)(x + 2)}\\\\ &= \dfrac{x - 3}{x+2} \end{aligned}[/tex]

The common factor is   [tex](x + 1)[/tex]

Set this = 0 to find the hole:
[tex]x + 1 = 0 = > x = -1[/tex]

So at[tex]x = -1[/tex] there is a hole.

Substitute this value of x in the factored function to get the y value for the hole

We have
[tex]f(x) = \dfrac{x - 3}{x+2}[/tex]

[tex]\begin{aligned}f(2) &= \dfrac{-1 - 3}{-1 + 2}\\& = \dfrac{-4}{1}\\&= -4\end{aligned}[/tex]

So the hole occurs at   [tex](-1, -4)[/tex]

Enquire οf each pupil in yοur math class. --> b. Cοnvenience

chοοsing every 5th persοn οn a list  --> d. Systematic

pulling 50 names frοm a hat --> a. Simple Randοm

Chοοse twο cafeteria tables at randοm, then pοll every patrοn at thοse twο tables. --> e. Stratified

selecting 30 individuals frοm each gender after dividing the pοpulatiοn intο genders. --> c. Cluster

Samples can be categοrized intο:

Cοnvenient: Sample taken frοm a pοοl that is easily accessible.

Put all the pοssibilities intο a hat, and draw sοme οf them at randοm.

Every kth cοmpοnent is taken in a systematic manner. If yοu wanted tο survey anything οn the street, fοr instance, yοu may interview every fifth persοn.

Cluster: This pοpulatiοn is brοken dοwn intο grοups, οr clusters, and each cluster's cοnstituents are surveyed.

Further divides the peοple intο several grοups. After that, thοugh, just a small percentage οf the grοup gets quizzed.

Thus, cοrrect match οf the sampling methοd are:

enquire οf each pupil in yοur math class. --> b. Cοnvenience

chοοsing every 5th persοn οn a list  --> d. Systematic

pulling 50 names frοm a hat --> a. Simple Randοm

Chοοse twο cafeteria tables at randοm, then pοll every patrοn at thοse twο tables. --> e. Stratified

selecting 30 individuals frοm each gender after dividing the pοpulatiοn intο genders. --> c. Cluster

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Answer: To calculate the standard deviation of a discrete random variable, we need to know the expected value and the variance. The variance of a discrete random variable X is given by:

Var(X) = Σ [ (x - E(X))^2 * P(X = x) ]

where the summation is taken over all possible values of X, and E(X) is the expected value of X.

We are given that the expected value of X is 1.95. Using the formula for the variance and the probabilities given in the table, we can calculate the variance as follows:

Var(X) = (0 - 1.95)^2 * 0.03 + (1 - 1.95)^2 * 0.31 + (2 - 1.95)^2 * 0.43 + (3 - 1.95)^2 * 0.14 + (4 - 1.95)^2 * 0.09

Var(X) = 1.1429

To find the standard deviation, we take the square root of the variance:

SD(X) = sqrt(Var(X))

SD(X) = sqrt(1.1429)

SD(X) ≈ 1.07

Therefore, the standard deviation of the number of cars owned by families in New York is approximately 1.07. None of the options given match this value exactly, but 0.99 is the closest.

Step-by-step explanation:

12) the common multiples of 3 and 5 up to 50 are: 15, 30, 45.

13) the common multiples of 4 and 6 up to 50 are: 12, 24, 36, 48.

14) the common multiples of 3 and 7 up to 50 are: 12, 42.

15) the equivalent fraction of 3/4 is 6/8

16) the equivalent fraction of 2/3 is 4/6

17) the equivalent fraction of 4/5 is 8/10

18) In its simplest form, 4/12 is 1/3

19) In its simplest form, 6/10 is 3/5

20) In its simplest form, 4/8 is 1/2.

12) To find the common multiples of 3 and 5 up to 50, we can simply list the multiples of 15 (which is the least common multiple of 3 and 5) that are less than or equal to 50.

Multiples of 15: 15, 30, 45

Therefore, the common multiples of 3 and 5 up to 50 are:

15, 30, 45

13)
To find the common multiples of 4 and 6 up to 50, we can again find the least common multiple of 4 and 6, which is 12, and list its multiples that are less than or equal to 50.

Multiples of 12: 12, 24, 36, 48

Therefore, the common multiples of 4 and 6 up to 50 are:

12, 24, 36, 48


14)
To find the common multiples of 3 and 7 up to 50, we can again find the least common multiple of 3 and 7, which is 21, and list its multiples that are less than or equal to 50.

Multiples of 21: 21, 42

Therefore, the common multiples of 3 and 7 up to 50 are:

21, 42

15)

To write an equivalent fraction of 3/4, we can multiply or divide both the numerator and denominator of 3/4 by the same non-zero number. This will give us a fraction that has the same value as 3/4 but with a different numerator and denominator.

For example, if we multiply both the numerator and denominator of 3/4 by 2, we get:

3/4 * 2/2 = 6/8

Therefore, an equivalent fraction of 3/4 is 6/8.

replicating this logic for 16 and 17, we have:

16) the equivalent fraction of 2/3 is 4/6 and

17) the equivalent fraction of 4/5 is 8/10


18) to get the simplest form of 4/12, we can divide the numerator and denominator by 4 to get
(4/4)/(12/4)

= 1/3

replicate this logic for 19 and 20, and we get:

19) In its simplest form, 6/10 is 3/5

20) In its simplest form, 4/8 is 1/2.

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Answer:

x < 16

Step-by-step explanation:

Answer:-7

Step-by-step explanation:

|-5 - 4| = -9

|1 + -3|= -2

|-9 - -2| = -7

Answer:

Step-by-step explanation:

[tex]|a-b|-|c+d|=|-5-4|-|1+(-3)|=|-9|-|-2|=9-2=7[/tex]

Absolute value is just the distance from 0 and therefore is always positive.

Answer:

Step-by-step explanation:

If the worker drove a total of 134 miles on Monday, and received $32.13 for the work-related miles, then we can assume that the work-related miles pay rate is constant, and calculate the total pay for all the miles:

Total pay for all miles = Total miles * Pay rate per mile

Since the worker received $32.13 for the work-related miles, and we assume a constant pay rate, we can find the pay rate per mile:

Pay rate per mile = Total pay for all miles / Total miles

= $32.13 / Total work-related miles

Now we can use this pay rate per mile to calculate the percentage of work-related miles:

Percentage of work-related miles = (Pay for work-related miles / Pay rate per mile) / Total miles * 100

Plugging in the given values, we get:

Percentage of work-related miles = (32.13 / (134 - 32.13)) / (134) * 100

= 0.2874 * 100

= 28.74%

Therefore, approximately 28.74% of the worker's total miles driven on Monday were work-related.

Megan's biking speed was 6.4 mph and her jogging speed was 1.6 mph

A variable is a quantity that may change within the context of a mathematical problem.

Let's use the following variables to represent the unknown speed :

We know that Megan biked for a certain amount of time, and then jogged for one hour longer. Let's use the variable t to represent Megan's biking time, in hours. Then her jogging time is t + 1 hour.

We can use the formula:

distance = rate x time

To create two equations based on the given information.

For the biking distance of 10 miles, we have:

10 = v_bike * t

For the jogging distance of 8 miles, we have:

8 = v_jog * (t + 1)

We also know that Megan's biking speed was 4 times her jogging speed, so we have:

v_bike = 4 * v_jog

We can substitute this equation into the first equation to get:

10 = 4 * v_jog * t

Simplifying this equation, we get:

t = 2.5 * v_jog

We can substitute this equation into the second equation to get:

8 = v_jog * (2.5 * v_jog + 1)

Simplifying this equation, we get:

8 = 2.5 * v_jog^2 + v_jog

Rearranging the terms, we get:

2.5 * v_jog^2 + v_jog - 8 = 0

We can solve this quadratic equation using the quadratic formula:

Finally, we can use the equation v_bike = 4 * v_jog to find Megan's biking speed:

v_bike = 4 * 1.6 mph = 6.4 mph

Therefore, Megan's biking speed was 6.4 mph and her jogging speed was 1.6 mph

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Answer:

El tanque tardará aproximadamente 48 minutos en llenarse.

Step-by-step explanation:

Podemos encontrar la tasa de llenado del depósito sumando las tasas de flujo de los tres grifos:

Tasa de llenado = 60 + 70 + 80 = 210 litros/minuto

Luego, podemos usar la fórmula:

Tiempo = Volumen / Tasa de llenado

Donde el volumen es 10.080 litros y la tasa de llenado es 210 litros/minuto. Sustituyendo estos valores, obtenemos:

Tiempo = 10.080 / 210 ≈ 48 minutos

Por lo tanto, tardará alrededor de 48 minutos en llenarse el depósito de capacidad 10.080 litros si recibe agua por tres grifos diferentes que arrojan 60 litros, 70 litros, 80 litros cada minuto.

¡Espero que esto ayude! Lo siento si no es así. ¡Si necesitas más ayuda, pregúntame! :]

Answer:

Step-by-step explanation:

The answer to your question is a.

The probability that the alumni member is male and did not attend graduate school is (546-206)/1214, or 83.09%.

Probability is a measure of how likely an event is to happen. It is expressed as a number between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain. Probability is used to describe the likelihood of something happening and to make decisions when dealing with uncertain situations. Probability theory is the mathematics of predicting the outcomes of events when the exact outcome is unknown.

In conclusion, the probability that the alumni member is female is 8.55%, that the alumni member is male is 16.91%, that the alumni member is female and went on to graduate school is 8.55%, that the alumni member is male and went on to graduate school is 16.91%, that the alumni member is female and did not attend graduate school is 79.60%, and that the alumni member is male and did not attend graduate school is 83.09%.

The probability that the alumni member is female is 104/1214, or 8.55%. The probability that the alumni member is male is 206/1214, or 16.91%. The probability that the alumni member is female and went on to graduate school is 104/1214, or 8.55%. The probability that the alumni member is male and went on to graduate school is 206/1214, or 16.91%. Finally, the probability that the alumni member is female and did not attend graduate school is (668-104)/1214, or 79.60%.

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Answer:

c) 113°

Step-by-step explanation:

Exterior angle is equal to the sum or the "remote" interior angles, that is the two angles that are not just next to the exterior angle. See image.

So the answer, quickly:

exterior angle

= 65° + 48°

= 113°

This is why:

(skip if you don't care)

The three angles in a triangle add up to 180° But also, a linear pair of angles also add up to 180°

So

x + 65° + 48° = 180°

x + y = 180°

y = 65° + 48°

See image.

Two consecutive number between [tex]2 \frac{3}{10}[/tex] and [tex]4 \frac{1}{2}$[/tex] are 3 and 4.

Composite number are those number which follow a particular sequence whether it is normal, even, odd or any other sequence.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         AP) is the best method to identify whether the number are consecutive or not.

So here, we can write as [tex]\frac{23}{10}=2.3[/t[/tex]                                                                                                                                                                                                                                                                                         ex] and we can write [tex]\frac{1}{2}[/tex] as [tex]frac| {9}{2}=4.5[/tex]

So, two composite number are 3 and 4.

Arithmetic Progression, (AP) A sequence can called in as AP when the difference between them are common which means the each previous is differ from its preceding one by a constant quantity.

[tex]a_n=a_1+(n-1) * d[/tex] where, [tex]a_1=[/tex] first termed= common difference [tex]a_n=[/tex] term in the sequence

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Answer:

The given expression 3x2 -11(2y+1)+4 is a polynomial expression with two variables, x and y. It can be simplified by distributing the -11 to the terms inside the parentheses and combining like terms:

3x2 -11(2y+1)+4 = 3x2 -22y -11 +4

= 3x2 -22y -7

Therefore, the statement "the expression is a polynomial with two variables" is true, while the statements "the expression is in simplest form" and "the expression has a constant term of 11" are false.

Step-by-step explanation:

The given events A and B are two independent events.

In probability, independent events are those events where the occurrence of one event does not affect the probability of the other event occurring.  

On the other hand, non-independent events are those events where the occurrence of one event affects the probability of the other event occurring.

If A and B are two independent events then

Here we have

A and B are two events

where P(A) = 0.7, P(B) = 0.8, and P(A and B) = 0.56

Using the above formula,

=> P(A and B) = (0.7) (0.8) = 0.56

=> P(A and B) = 0.56

From the data, P(A and B) = 0.56

Therefore,

The given events A and B are two independent events.

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