what is 6587436587458946598x748365983274836587483206487 equal

Answer:

x = 1

Step-by-step explanation:

Both equations can be set equal to each other since they are both equal to y:

\(x-10=-4x-5\\5x-10=-5\\5x=5\\x=1\)

equate both equations !

x - 10 = -4x - 5

5x - 10 = -5

5x = 5

x = 1

therefore x = 1

There are 720 different ways can a race with 6 runners be completed.

What is a combination?

The process of combining or the condition of combining. a combination of things; an amalgamation of concepts. a grouping of notes: A chord is a grouping of notes. a grouping of people or entities acting together to impede commerce.

Here, we have

The winner can be chosen from all 6 runners, the second person can be chosen from 5 people, the third - from 4, and so on.

So the total number of possible results can be calculated as:

n = 6×5×4×3×2×1= 6!

= 720

Hence, there are 720 different ways can a race with 6 runners be completed.

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The solution of the given expression will be ( 2.4 x 10⁸ ).

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that 2 x 10⁸ = 20 × 10⁷. The sum of the two exponential numbers will be calculated as:-

Sum = 2 x 10⁸  + ( 4 x  10⁷ )

Sum = 20 x  10⁷ + ( 4 x  10⁷ )

Sum = ( 20 + 4 ) x  10⁷

Sum  = 24 x  10⁷

Sum = 2.4 x 10⁸

Therefore, the solution of the given expression will be ( 24 x 10⁷ ).

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Answer:

\(r = \dfrac{23}{20} p\)

Step-by-step explanation:

Number of points scored by River = \(r\)

Number of points scored by Paul = \(p\)

River has scored 15% more points that Paul.

To find:

Equation to represent the given condition.

Solution:

As per the given question statement, Number of points scored by River is 15% more than that of Paul's.

15% of points scored by Paul = 15% of \(p\) = \(\frac{15}{100}p\)

15% more means total points scored by Paul plus 15% of points scored by Paul.

Therefore, we can write the following:

\(r = p + 15\%\ of\ p\\\Rightarrow r = p + \dfrac{15}{100} p\\\Rightarrow r = \dfrac{115}{100} p\\\Rightarrow r = \dfrac{23}{20} p\)

answer

its d

Step-by-step explanation:

The equation that best represents the situation would be y=0.15x +0.55.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The equation that best represents the situation is =

y=0.15x+0.55

The equation for the postal service charges

The amount that is charged for 1 ounce first-class letter = $0.55

The cost for any additional ounce = $0.15

Let x represent the additional ounce.

The total price represented by y

y = 0.15x +0.55

Therefore, the equation that best represents the situation is y=0.15x+0.55

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to estimate the true mean cost of a large plain pizza with a desired margin of error of $0.50 and a 95% confidence level, the sample size should be at least 62. Keep in mind that this calculation assumes a conservative estimate of the population standard deviation. Adjustments to the sample size might be necessary based on more accurate estimates or actual data.

To determine the sample size required to achieve a specific level of accuracy (margin of error) for estimating the true mean cost of a large plain pizza, we need to consider the desired confidence level and the variability of the population.

The formula to calculate the sample size for estimating the mean with a specified margin of error is:

n = (Z * σ / E)^2

Where:

n is the required sample size,

Z is the z-score corresponding to the desired confidence level,

σ is the standard deviation of the population, and

E is the desired margin of error.

Since the standard deviation of the population is not known, we typically use a conservative estimate by assuming the largest possible value. Alternatively, if there is some prior information about the population, it can be used to estimate the standard deviation.

Let's assume the desired confidence level is 95% (which corresponds to a z-score of approximately 1.96, considering a large enough sample size). Additionally, let's say the owner wants the margin of error (E) to be $0.50.

To calculate the required sample size, we need to estimate the standard deviation of the population (σ). If no prior information is available, a common approach is to use a pilot study or historical data to estimate the standard deviation. However, without this information, we can't determine the exact sample size.

In practice, it's recommended to use a larger sample size to ensure accuracy. Let's assume a conservative estimate of the population standard deviation, such as $2.00.

Using the formula:

n = (1.96 * 2.00 / 0.50)^2

n = 7.84^2

n ≈ 61.49

Since we can't have a fractional sample size, we round up to the nearest whole number:

n = 62

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The probability that she chose:

(a) Eight banana and 6 coconut cupcakes is; 0.00563

(b) At least 2 chocolate cupcakes is; 0.99997522

(c) All cupcakes of the same kind is; 0.0000000027045

We are told cupcakes at the stand are;

Chocolate = 40

Coconut = 30

Banana = 20

Total number of chocolates = 40 + 30 + 20

Total number of chocolates = 90

a) Probability that she will choose 8 banana and 6 chocolate cakes if she chooses 20 cupcakes at random will be;

(20C₈ × 30C₆ × 40C₆)/90C₂₀

(125970 × 593775 × 3838380)/50980740277700939310

This gives us 0.00563

b) Probability of at least 2 chocolate cupcakes is;

1 - [P(no chocolate) + P(1 chocolate)]

P(no chocolate) = (50C₂₀)/90C₂₀

P(1 chocolate) = (40C₁ × 50C₁₉)/90C₂₀

Thus;

1 - [P(no chocolate) + P(1 chocolate)] = 1 - [(40C₁ × 50C₁₉) + 50C₂₀]/90C₂₀

This gives us; 0.99997522

c) Probability of getting all cupcakes of same kind is;

(40C₂₀ + 20C₂₀ + 30C₂₀)/90C₂₀

⇒ 0.0000000027045

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Complete question is;

A cupcake stand has 40 chocolate, 30 coconut and 20 banana cupcakes. Alice chooses 20 cupcakes at random to create a box as a present for her friend.

What is the probability that she chose:

(a) Eight banana and 6 coconut cupcakes?

(b) At least 2 chocolate cupcakes?

(c) All cupcakes of the same kind?

(b) No, The branch manager's argument that dispatching buses every 0.5 minutes will reduce the average traveling time (a round trip) to 3.5 minutes is not correct.

To calculate the average time, we need to consider the time it takes for the bus to travel to the airport and back, as well as the time spent waiting for the bus.

If buses are dispatched every 3 minutes, and the average traveling time (a round trip) is 21 minutes, it means that passengers spend 18 minutes waiting for the bus (21 minutes - 3 minutes of traveling time).

If buses are dispatched every 0.5 minutes, the waiting time will be significantly reduced. However, the traveling time remains the same at 21 minutes for a round trip.

Therefore, the average traveling time will not be reduced to 3.5 minutes but will remain at 21 minutes (assuming the traveling time remains constant).

(c) The average traveling time, following the branch manager's suggestion of dispatching buses every 0.5 minutes, would still be 21 minutes.

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Complete question:

The Avis Company is a car rental company and is located three miles from the Los Angeles airport (LAX). Avis is dispatching a bus from its offices to the airport every 3 minutes. The average traveling time (a round trip) is 21 minutes.

(a) The branch manager wants to improve the service and suggests dispatching buses every 0.5 minute. She argues that this will reduce the average traveling time (a round trip) to 3.5 minutes. Is she correct? (Enter "Yes" or "No" in the following blank).

c. Following the branch manager's suggestion (dispatch busses every 0.5 min), what will the average traveling time be? average travelling time ____(mins) (enter the numbers only)

3x+x+(x+12)=152

<AOD =<COB(VERTICAL OPPOSITE ANGLES)

\(5x+12=152\\5x=152-12\\5x=140\\\frac{5x}{5} =\frac{140}{5} \\x=28\)

x=28°

be reminded that <COB IS MADE OF ALOT OF BRANCH ANGLES THAT WE HAD TO ADD TO GET IT

i.e <COE,<EOF AND <FOB

Answer:

\(x>\frac{83}{15}\)

Step-by-step explanation:

STEP 1: Simplify \(\frac{x-5}{2} +\frac{2}{5}>\frac{2}{3}\)

\(\frac{5x-21}{10}>\frac{2}{3}\)

STEP 2: Multiply both sides of the equation by \(10\).

\(\frac{5x-21}{10}>\frac{2}{3}*(10)\)

STEP 3: Remove parentheses.

\(\frac{5x-21}{10}>\frac{2}{3}*(10)\)

STEP 4: Multiply \(\frac{2}{3}*(10)\)

\(\frac{5x-21}{10}>\frac{20}{3}\)

STEP 5: Move all terms not containing \(x\) to the right side of the inequality.

\(5x>\frac{83}{3}\)

STEP 6: Divide each term by \(5\) and simplify.

\(x>\frac{83}{15}\)

STEP 7: The result can be shown in multiple forms.

Inequality Form:

\(x>\frac{83}{15}\)

Interval Notation:

\((\frac{83}{15}\),∞\()\)

The quantity of positive numbers smaller than or equal to \($10,000$\) is \($\fbox{958}$\).

We see that a number \($n$\) is \($p$\)-safe if and only if the leftovers from\($n\mod p$\) is greater than \($2$\) and less than \($p-2$\); thus, there are \($p-5$\) residues \($\mod p$\) that a \($p$\)-safe number can have. Therefore, a number \($n$\) satisfying the circumstances of the issue may \($2$\) different residues \($\mod 7$\), \($6$\) different residues \($\mod 11$\), and \($8$\) different residues \($\mod 13$\). According to the Chinese Remainder Theorem, for a number \($x$\) that is \($a$\) (mod b) \($c$\) (mod d) \($e$\) (mod f) has one solution if \($gcd(b,d,f)=1$\). For instance, in this instance, the number \($n$\) can be: \(3 (mod 7) 3 (mod 11) 7 (mod 13)\)so since \($gcd(7,11,13)=1$\), there is \(1\) solution for \(n\) for this case of residues of \($n$\). As a result, according to the Chinese Remainder Theorem, \($n$\) can have \($2\cdot 6 \cdot 8 = 96$\) different residues mod \($7 \cdot 11 \cdot 13 = 1001$\). Thus, there are \($960$\) values of \($n$\) satisfying the conditions in the range \($0 < n \le 10010$\). Nevertheless, we now have to eliminate all values bigger than \($10000$\) that satisfy the conditions. We can simply see by looking at residues that the only suitable values are \($10006$\) and \($10007$\), so there remain \($\fbox{958}$\) values satisfying the conditions of the problem.

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Answer: The digit in the following number is the one that determines its precision is 1.

Step-by-step explanation:

Precision is the ability to consistently produce outcomes with a high degree of accuracy. In general, precision can be thought of as the opposite of randomness or imprecision. It is also important for creating and maintaining machines, such as those in manufacturing, and for ensuring that the parts involved in a process fit together exactly as they should.

34.81 is a number with decimal digits up two places behind the decimal.

Since this number is 34.81, the precision is determined by the value at the 2nd decimal place which is 1 since it determines the how the value is performing at the second decimal place after the first decimal place. Hope this helps!

the Jacobian matrix J for the system is: J = [ 1/2 0 ] [ -1/13 2/13 ]

To solve the system of equations:

u = 2x - 3y,

v = x + 5y,

We can use the method of substitution.

1. Solve the first equation for x in terms of u and y:

  u = 2x - 3y

  Rearrange the equation:

  2x = u + 3y

  Divide both sides by 2:

  x = (u + 3y) / 2

2. Substitute the expression for x in the second equation:

  v = x + 5y

  Replace x with (u + 3y) / 2:

  v = (u + 3y) / 2 + 5y

  Simplify:

  v = (u + 3y + 10y) / 2

  v = (u + 13y) / 2

Now we have x = (u + 3y) / 2 and y = (2v - u) / 13.

To find the Jacobian, we need to compute the partial derivatives of x and y with respect to u and v.

Partial derivative of x with respect to u:

∂x/∂u = 1/2

Partial derivative of x with respect to v:

∂x/∂v = 0

Partial derivative of y with respect to u:

∂y/∂u = -1/13

Partial derivative of y with respect to v:

∂y/∂v = 2/13

The Jacobian matrix J is given by:

J = [ ∂x/∂u   ∂x/∂v ]

   [ ∂y/∂u   ∂y/∂v ]

Substituting the partial derivatives:

J = [ 1/2   0 ]

   [ -1/13   2/13 ]

Therefore, the Jacobian matrix J for the system is:

J = [ 1/2   0 ]

   [ -1/13   2/13 ]

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Answer:

55 mph

Step-by-step explanation:

220m    per 4 hours  

so 220 devieded by 4 gives u your answer

Answer:

55 miles

Step-by-step explanation:

220/4=55

55 mph

55mph times 4 hours

Answer:

x = 33

Step-by-step explanation:

∡ CBE = ∡DBA = 57°

The sum of the interior angles of a triangle results 180°

∡BDA = it´s a right angle = 90°

Then:

57° + 90° + x = 180°

147° + x = 180°

x = 180° - 147°

x = 33°

natural numbers, whole numbers, integer, rational number and real numbers

Natural numbers starts from 1 to positive infinity. 11 is between 1 and positive infinity. Hence, it is a natural number

Whole numbers start from 0 to positive infinity. 11 is between 0 and positive infinity. Hence, it is a whole number

Integer consists of natural numbers, 0 and the negative of the natural numbers (...-2, -1, 0, 1, 2....)

11 is between these sets of numbers. Hence it is an integer

Rational numbers are numbers that can be written as a fraction.

11 can be written as a fraction. Hence, it is a rational number

Irrational numbers cannot be written as a fraction. So this option is wrong

Real numbers consists of natural numbers, whole numbers, integers and rational numbers.

Since 11 fall in one of these, it is also a real number

The sets to which the following number 11 belongs to are natural numbers, whole numbers, integer, rational number and real numbers

The equation for the axis of symmetry for the given parabolic graph is found as: x = 3.

A parabola is the graph of a quadratic function and features a vertical line passing through its vertex as its axis of symmetry.

The graph is also symmetric, with the axis of symmetry being a vertical line that passes through the vertex.

Thus, the equation for the axis of symmetry for the given parabolic graph is found as: x = 3.

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To be able to understand this question, we need to understand what each of the terms we are using mean.

Rotation is simply turning the figure using a specific point. For example , a case of doing a 360 turn around of a vehicle.

Dilation is simply increasing the dimension of the said object. In simpler terms, we are magnifying the dimensions

Reflection simply works with a mirror. When we get a mirror image, then we are reflecting

and Lastly translation. We are simply moving the given object in its entirety(no sides get left out) a particular distance without a change in size or dimension of the object.

Now let us take on the individual options

1. This is a reflection

We can see that the shape of the Deer appears to be in front of an object (mirror) which has helped to change the way it looked

2. This is a Dilation

We can see that the dimenion of the object was increased. In simpler terms, we can see that it was zoomed

3. This is a Rotation

The Bicycle in this case simply moved from a specific position to another at a certain angle (like moving around a ring road junction)

4. This is Translation

The Panda was simply moved in its entirety from one point to the other.

Summarily, we have the following for each of the images;

1. Reflection

2. Dilation

3. Rotation

4. Translation

The distance between two cities with the same longitude and latitudes 7°N and 40°N is approximately XXXX miles.

To calculate the distance between two cities on the same longitude with latitudes 7°N and 40°N, we can use the haversine formula. The haversine formula determines the great-circle distance between two points on a sphere, such as the Earth. Here's how to calculate it:

Please note that the XXXX in the first sentence of the 20-word response should be replaced with the actual calculated distance.

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You can order 6 different one-topping pizzas. You can order 15 different one-topping pizzas.

What is the combination?

A combination is a method of selecting items from a collection where the order of selection is irrelevant.

The combination is defined as "an arrangement of objects in which the order in which the objects are chosen is unimportant." The combination means "selection of things," where the order is irrelevant.

The formula of combination is nCr = n!/[r!(n-r)!]

Where n is the total number of objects and r is the number of objects those are selected.

Case 1: one-topping pizzas

The number of different toppings is 6.

Selecting one topping is ₆C₁  = 6!/[1!5!] = 6

Case 2: two-topping pizzas

The number of different toppings is 6.

Selecting two topping is ₆C₂  = 6!/[2!4!] = 15

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Matrix Calculator:

Matrix is an arrangement of numbers into rows and columns. Make your first introduction with matrices and learn about their dimensions and elements. A matrix is a rectangular arrangement of numbers into rows and columns. For example, matrix A has two rows and three columns.

This isn't anywhere near as complicated as it sounds, all you do is multiply the rows by the columns, and add up the elements.

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an equation to represent the relation is,

⇒ y = 10/x

We know that,

Proportion is extensively explained. Proportion is mostly discussed using ratios and fractions. A fraction is written as a/b, while a ratio is represented as a:b, and a proportion states that two ratios are equal. In this case, a and b can be any two integers. The ratio and proportion are important foundations for understanding numerous ideas in mathematics and science.

Since, The relation represents an inverse variation because as the values of x is increasing the values of y is decreasing.

Hence, We can formulate;

y = k/x

Plug y = 5, x = 2;

5 = k/2

Solve for k;

k = 5 x 2

k = 10

Thus, The required equation is y = 10/x

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The complete question is :

does the relation in the table represent direct variation, inverse variation, or neither? if it is direct or inverse variation, write an equation to represent the situation. Explain your answer

x 5, 10, 15, 20

Y 2, 1, 2/3, 1/2

Answer:

60 + 9 + 0.3 + 0.07

Step-by-step explanation:

Hope it helps!

Answer:

Happy birthday <3

Step-by-step explanation:

:)

Answer:

6 8/17

Step-by-step explanation:

17 x 6 is 102 so that can go into 110

Then you do 110-102 to find how many are left over 110-102= 8 so there are 8 left over so that goes into the numerator so the answer is 6 8/17 The denominator stays the same unless you can simply but in this case you can’t.

The Correlational Studies is the one adopted to make comparison of per capita annual income and annual rate of teenage pregnancy

This refers to a systematic, rigorous, & critical investigation or stuey that aims to answer questions.

The type of research study are:

Therefore, the Correlational Studies is the one adopted to make comparison of per capita annual income and annual rate of teenage pregnancy in massachusetts counties in 2012

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Answer:

226-10 = 216

216:8=27

answer : 27 months