let x be a normally distributed random variable with mean 5 and standard deviation 15. please express your answer as a number between 0 and 100. if you want to write 52%, please enter 52. what is the probability that x is less than or equal to 38?

Hong has 16 one-dollar bills. he wants to give each of his 6 children the same number of bills. Then  Hong will give 12 bills to his 6 children and  4 bills Hong have remained

Hong has 16 one-dollar bills.

he wants to give each of his 6 children the same number of bills.

how many bills can he give each child?

how many bills will Hong have remaining?

since Hong has 16 one dollar bills and he wants 6 children the same number of bills

then he give 6 children two bills to each  

then the total number of bills he give to 6 children is 12

and he has 16 bills and 12 bills give to his children

the remaining bills left = 16 bills - 12 bills = 4 bills

Hence , Hong will give 12 bills to his 6 children and  4 bills Hong have remained

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The prοbability οf getting the desired οutcοme is 1/9 οr apprοximately 0.1111 (rοunded tο fοur decimal places)

In mathematics, prοbability is a measure οf the likelihοοd οr chance οf an event οccurring, expressed as a number between 0 and 1, where 0 represents an impοssible event and 1 represents a certain event. It is a fundamental cοncept in statistics and is used tο mοdel and analyze a wide range οf real-wοrld phenοmena.

The prοbability οf getting a 1 οn a single die is 1/6, and the prοbability οf getting anything but a 3 οr 4 οn a single die is 4/6 (since there are 6 pοssible οutcοmes and 3 οf them result in a 3 οr a 4).

Tο find the prοbability οf getting the desired οutcοme when rοlling twο dice, we can use the multiplicatiοn rule οf prοbability, which states that the prοbability οf twο independent events οccurring tοgether is the prοduct οf their individual prοbabilities.

Sο the prοbability οf getting a 1 οn οne die and anything but a 3 οr 4 οn the οther die is:

(1/6) x (4/6) = 4/36 = 1/9

Since there are 36 pοssible οutcοmes when rοlling twο dice, the prοbability οf getting the desired οutcοme is 1/9 οr apprοximately 0.1111 (rοunded tο fοur decimal places).

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The given statement is an example of the law of detachment.

Given that,
Premises:
If I'm a student, then I go to school. If I go to school, then I learn.
Conclusion:
If I'm a student, then I learn.

This is an example of the Law of which is to be determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Following the statement given in the premises gives a certain conclusion which shows the detachment behavior.

Thus, the given statement is an example of the law of detachment.

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The null hypothesis is that the reaction time for students in the regular population averages 200 milliseconds.

The alternate hypothesis is that the reaction time for students in not the regular population averages 200 milliseconds.

In statistical hypothesis testing, null and alternate hypotheses are utilized. The alternative hypothesis of a test expresses your research's prediction of an effect or relationship, whereas the null hypothesis of a test always predicts no effect or no association between variables.

With the aid of a statistical test, researchers weigh the evidence in favor of and against the null and alternative hypotheses, which are two opposing claims:

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m = D +3

The basics of algebra include numbers, variables, constants, equations, linear and equations. It also includes the basic arithmetic operations : addition, subtraction, multiplication, and division within the algebraic expressions. Algebra is the study of mathematical symbols and the rules for using these symbols in formulas .

The three most used laws are the Commutative, Associative, and Distributive Laws. The main rule of algebra is balancing. The equation has equals sign and both the sides should be equal.

Given, D = (m -3)

we can write,

m = D+3

if D is assumed to be 2 (integer)  then,

m = 2+3= 5 (integer)

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The length of the arc intercepted by a central angle of

6 radians is 60.34 cm.

An arc is any smooth curve joining two points.

Given is an circle of radius 10 cm intercepted by a central angle of

6 radians.

We can calculate the length of the arc using the formula -

L[arc] = (Ф/360°) x 2πr

Ф = 6 radians = 343.78 degrees

L[arc] = (343.78/360) x 2π x 10

L[arc] = 0.96 x 2π x 10

L[arc] = 60.34 cm

Therefore, the length of the arc intercepted by a central angle of

6 radians is 60.34 cm.

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Answer: m < -1

Step-by-step explanation:

Step 1: 6 + 5m < 1.              Step 2:  5m/5 < -5/5         m = -1

           -6.           -6                              

Answer: m < −1

Step-by-step explanation:

1. Rearange: 5m+6<1

2. 5 + 6−6 < 1−6

3. 5m < -5

4. 5m/5 < -5/5

5. Cancel terms that are in both the numerator and denominator then divide the numbers.

6. answer: m < -1

Step-by-step explanation:

the easy straight forward method is to simply sum up the 5 terms.

you know that this symbol just means "sum", right ?

and that the index variable is "running" from 1 to 5.

so, you have to sum up

3×1 + 3×2 + 3×3 + 3×4 + 3×5 = 3 + 6 + 9 + 12 + 15 = 45

now, if you want it done via a summary formula to add the first n terms of an arithmetic sequence, like in this case

a1 = 3

an = an-1 + 3 = a1×n = 3n

then

the sum of the first n terms in an arithmetic sequence is (n/2)⋅(a₁+aₙ).

it simply means : first plus last term added up n/2 times.

why ?

because a1 + an = a2 + an-1 = a3 + an-2 = ...

we get n/2 times such part sums.

so, in our case, n = 5, and we get

(3 + 3×5)×5/2 = (3 + 15)×5/2 = 18×5/2 = 9×5 = 45

Answer:

∑ (i = 1 to 5) (3·i)

= 3·∑ (i = 1 to 5) (i)

= 3·(1 + 2 + 3 + 4 + 5)

= 3·15

= 45

Answer: M + 7

Step-by-step explanation:

Well, it doesn’t show the variable’s number correct?

So, since we don’t have the number, we are going to multiply -1 by -7, getting 7 from this. Now, change it to addition. You should have m + 7.

I hope this helps!

Answer:

y=1/2x+2

Step-by-step explanation:

y=mx+b

m = slope = rise/run

b = y-intercept

Look at the graph, and find the slope.

m= slope = rise/run = 1/2

b = y-intercept = 2

Therefore, the correct answer is option y=1/2x+2

Two decimals are 0.34, 0.83, and 0.83 and Holland could have used it to make a sum of 2.

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9. Based on the basic value of its digits, different types of number systems exist.

We get x + x = 2x by using x to signify our missing values and the assumption that there are two missing values. We obtain the equation 2x + 0.34 since it is the product of these integers and 0.34; after setting it equal to 2, 2x + 0.34 equals 2.

First, take 0.34 off both sides to get 2x = 1.66. To get x = 0.83, divide both sides by 2 now.

Therefore, the decimals are 0.34, 0.83, and 0.83.

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The equation of the linear function represented in the table in slope intercept form is y = 7x -2

A linear function can be represented in slope intercept form as follows:

y = mx + b

where

Therefore, the table follows a linear pattern.

Hence, using (0, -2)(1, 5) we can find the slope and the y-intercept of the linear function.

Therefore,

m = 5 - (-2) / 1 - 0

m = 5 + 2 / 1

m = 7

Therefore, let's find the y-intercept using (0, - 2).

y = mx + b

-2  = 7(0) + b

hence,

b = -2

Therefore, the slope intercept form of the table is y = 7x - 2

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The conditions necessary for binomial distribution is option C that is I and III only "There is a series of N trials." and "The outcomes are mutually exclusive."

In probability theory and statistics, the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome: success or failure, is known as the binomial distribution with parameters n and p.

If the following circumstances hold true, the binomial distribution describes the behavior of a count variable X: 1: There will always be n observations. 2: Every observation stands alone. Three: Each observation corresponds to one of two results ("success" or "failure").

Option C, which consists solely of I and III, meets the requirements for the binomial distribution. "The results are mutually exclusive" and "There is a series of N trials."

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Answer:

d. It is the same distance from zero as the number she tells you.

Step-by-step explanation:

Case 1: Let Shanika thought a positive rational

number

Let the number that Shanika thought be c.

Then, the distance of it from zero = lc - Ol = c.

But, the number she told = -c

The distance of -c from zero = 10--(-c)| = c

Case 2: Let Shanika thought a negative rational number

Let the number that Shanika thought be -c (c>0).

Then, the distance of it from zero = 10--(-c)| = c.

But, the number she told = c

The distance of -c from zero = Ic-01 = c

In both cases, the number she thought is the same distance from zero as the number she tells us.

Answer: -1 and 5

Step-by-step explanation:

The logical fallacy which Mikey has used is referred to as: A. False analogy.

A fallacy can be defined as a mistaken or false belief (assumption) that are based on illogical arguments or reasoning.

In Science, there are different types of fallacy and these include the following:

Additionally, a false analogy simply refers to a type of informal fallacy which states that since quantity A and quantity B both share the same quality X (color yellow), then, they must also share quality Y in common (burning rate).

In this context, we can reasonably infer and logically deduce that Mikey's hypothesis is a false analogy.

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Answer: hey sis! the answer is a

Step-by-step explanation: A.) false analogy

(btw this language arts not math)

The length of the building should be measured in meters, as that is the most appropriate unit.

The most suitable unit to measure the length of the building will be measuring the length of the building in meters.

Therefore, the length of the building should be measured in meters, as that is the most appropriate unit.

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By taking the difference between the y-intercepts, we conclude that the distance between the lines is 3 units.

A general linear equation is:

y = a*x + b

Where a is the slope and b is the y-intercept.

Two linear equations are parallel if and only if both lines have the same slope and different y-intercepts.

And the distance is given by the difference between the y-intercepts.

Here the lines are:

y = -3*x + 1

y = -3*x + 4

The difference between the y-intercepts gives:

4 - 1 = 3

That is the distance between the lines.

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Answer:

250

Step-by-step explanation:

4^4+400÷(4+6^2)−2^4

256 + (400 ÷(4+36) ) -16  

256 + (400÷40) -16

256+ (400 (1/40) ) -16

256 + (400/40) -16

256 + (2 · 6) -16

256 + 10 =16

250

The number of engineering students for 750 college students will be 176 students

Number of engineering students: 19

The number of total students for 19 engineering students = 81 students

Percentage: A percentage is a ratio or fraction where the full value is always 100. Sam, for instance, would have received 30 out of a possible 100 points if he had received 30% on his arithmetic test. In ratio form, it is expressed as 30:100 and in fraction form as 30/100.

Percentage of engineering students in relation to the total students = Number of engineering students/ Total students*100

= 19/81*100

= 23.45%

So, for 750 students the number of engineering students will be

= 23.45% of 750

= 23.45/100*750

= 175.87 or 176 students

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The total profit made by the company over the course of its first 24 years of operation is $10,016,640

Given,

The annual profit made by a company in first year = $111,000

The increase in profit per year = 24% = $26640

We have to find the total profit made by the company over the course of its first 24 years of operation

Lets take this as an arithmetic progression.

First term, a = 111,000

Common difference, d = 26640

nth term = 24

Sum of nth term,

Sₙ = n/2 [2a + (n - 1) d]

S₂₄ = 24/2 [2 × 111,000 + (24 -1) 26640]

S₂₄ = 12 [222,000 + 23 × 26640]

S₂₄ = 12 [222,000 + 612,720]

S₂₄ = 12 × 834,720

S₂₄ = 10,016,640

That is,

The total profit made by the company over the course of its first 24 years of operation is $10,016,640

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Estimate intercepts of the graph of the functions

1.  [tex]y=\frac{1}{3} x+1[/tex]

=>At x axis

x = 0

y= 0+ 1

y = 1

=>At y axis

y= 0

1/3x = -1

x= -3

The x intercepts:( -3, 0)

The y intercepts : (0,1)

2. [tex]y= x^{2} -3x-4[/tex]

=> At x axis

x=0

y= - 4

=> At y axis

y= 0

[tex]x^{2} -3x-4= 0[/tex]

(x-4)(x+1) = 0

x= 4,-1

The x intercepts: (4,0) ( -1, 0)

The y intercepts : (0,-4)

3. y= -2 |x-5|

=> At x axis

x=0

y= -2(5)

y= -10

=> At y axis

y= 0

-2|x-5|=0

Divide both sides by -2

|x - 5|= 0

x-  5 = 0

x = 5

The x intercepts: (5,0)

The y intercepts : (0,-10)

4. [tex]y= -4x^{3} -13x^{2} -10x[/tex]

=> At x axis

x= 0

y = 0

=>At y axis

y=0

[tex]0=-4x^{3} -13x^{2} -10x \\\\4x^{3} +13x^{2} +10x =0[/tex]

By factorization ,

x( 4x+5 )( x+2)= 0

x= 0, -2, -5/4

The x intercepts: (0,0) (-2,0) ,(-5/4,0)

The y intercepts: (0,0)  

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You would expect 4.5 diodes to fail. The standard deviation of the number that are expected to fail is 2.089.

The number of diodes failing, E(X), can be calculated by multiplying the population, n, with the probability, p.

n = 150

p = 0.03

E(X) = n × p

E(X) = 150(0.03)

E(X) = 4.5

Standard deviation, denoted by σ, is defined as the measure that indicates the average distance of observations from the mean of the data set.

σ = √(n x p x (1 - p))

σ = √(150 x 0.03 x (1 - 0.03))

σ = √150 x 0.03 x 0.97

σ = √4.365

σ = 2.089

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The exit mass flow rate times the exit velocity less the free stream mass flow rate times the free stream velocity equals the force (thrust).

If we take into account the factors mentioned above, we will see that if the aircraft can fly at full thrust in cruise, this fits nicely with a static sea level thrust force equivalent to one third of its weight force. The thrust required to sustain flight is approximately 1/18 of the aircraft weight. It takes classroom teaching, ground training, and flying training from a certified instructor to obtain a high-altitude endorsement. we will learn about the warning signs and symptoms of altitude sickness, when to use supplemental oxygen, how long you can use that oxygen safely, and more during ground school.

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Answer: y = -90, 90

Step-by-step explanation:

     To solve this, we will isolate the variable.

 Given:

10 = |[tex]\frac{y}{9}[/tex]|

 Absolute value:

10 = [tex]\frac{y}{9}[/tex]     &     -10 = [tex]\frac{y}{9}[/tex]

 Multiply both sides of both equations by 9:

90 = y    &     -90 = y

 Answer:

y = -90, 90

Answer:

B

Step-by-step explanation:

Kusa=10x0.75=7.5

Chaman=12x0.6=7.2

7.5>7.2

so kusa rode further than chaman.

Answer:

b

Step-by-step explanation:

Answer:

5(y - 7)

Step-by-step explanation:

common factor

5-y-35

5(y - 7)

Answer:

y=3x-4

Step-by-step explanation: