Endure all, a manufacturer of batteries claims that the lifetime of their batteries is normally distributed with a mean of 500 hours and a standard deviation of 40 hours. What is the probability that an endure all battery selected at random will last more than 550 hours?.

There are 1365 different committees that are possible if a group of 3 men refuses to serve together.

Given that,

From an 8 men, 7 woman group A committee made up of four men and three women will be created.

If all prerequisites are met, a total of committees could be formed.

⁸C₄ x ⁷C₅=  70 x  21= 1470

Three males now reject serving in unison.

As a result, in the event that they serve simultaneously, a combination is= ⁵C₄ x ⁷C₅= 5 x 21= 105

Therefore, a combination that could be used in the event that they don't work together is = 1470- 105= 1365

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Percentage of buyers who paid more than $155,000 is equal to 2.78%.

The standard deviation is a metric that reveals the degree of variation (such as spread, dispersion, and spread) from the mean. The standard deviation represents a "average" departure from the mean. Because it uses the original units of measurement from the data set, it is a well-liked measure of variability. Similar to variance, there is little variation when data points are close to the mean, but there is much variation when data points are widely scattered from the mean. The amount of departure from the average is determined by standard deviation. The most common measurement of dispersion, the standard deviation, is based on all values. Therefore, a change in even one value has an impact on the standard deviation's value. It is

Given:

Mean is $150,000, and

Standard deviation is $2500.

We need to determined the percentage of buyers who paid more than $1,55,000 as per given mean and standard deviation.

By using z score formula can be use to calculate the percentage of the buyer who paid,

z=    [tex]\frac{x-μ}{σ}[/tex]

As given in question sample mean i.e. X= 150,000

= [tex]\frac{1,55,000- 1,50,000}{2500}[/tex]

=2

By using standard normal distribution table,

P(X > 155000) = P( z > 2 )

= 1 - 0.9772

=0.0278

Hence, it is equal to 2.78%.

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Answer:

Below

Step-by-step explanation:

x^6 -16x^2   =   x^2 ( x^4 - 16 )    is one possibility

                                             ( you didn't include choices)

Answer:

The answer is d: 24 square meters

A linear function with a rate of change of +5 is depicted in the table as m = 13 + 5 = 18.

A straight line on the coordinate plane is represented by a linear function.

As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.

This function can be expressed as f(x) = 3x - 2 since y can be replaced with f(x).

We will discover what a linear function is in this article, along with information on its graph, domain, and range.

Additionally, we will learn how to recognize a linear function and how to calculate its inverse.

According to our question-

The graph in the table shows a linear function.

The linear function's general equation is y = ax+b, where a denotes slope and b denotes a constant.

Finding the equation of the linear function at x = 3 y = 13 and at x = 5 y = 23 13 = 3a+b by utilizing the first and third points from the table (1)

23 = 5a+b → (2) find a and b by resolving (1) and (2)

Consequently, a = 5 and b = -2; y = 5x – 2

After then, the equation of y = y = 5*4-2 = 18 was changed by substituting x = 4 in it.

m = 18

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Answer:

f = 8

Step-by-step explanation:

First, let's multiply this equation out

10 = 3f - 15 + 1

Simplify:

10 = 3f - 14

Add 14 to both sides:

24 = 3f

Divide both sides by 3:

f = 8

Let's plug this in to make sure:

10 = 3(8 - 5) + 1

10 = 24 - 15 + 1

10 = 24 - 14

10 = 10

Thus, the answer is not -75, but I applaud you for trying before coming here!

I hope this helped!

The value of "-3" in the context of this situation is "tiger loses 3 balls each round".

The correct answer option is option A

y = -3x + 28

Where,

For instance, if the tigers played 8 rounds of golf,

The number of golf lost = - 3x

= -3(8)

= -24

Then,

The number of golf balls in tigers golf bag,

y = -3x + 28

= -3(8) + 28

= -24 + 28

= 4 golf balls.

Therefore, the situation can be solved using equation and determining the parameters of the equation.

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Answer:

Tiger begins with 3 balls in his golf bag.

Step-by-step explanation:

:)

Answer:

Step-by-step explanation: 500

Answer: The recursive formula generate term at a time by relating the term to one or more previous terms

Step-by-step explanation: The formula for recursive is

f(1)=6,f(n)=f(1)+f(n-1),n>1

The system of equations has no solutions, the correct option is A.

The system of equations is:

y = x^2 + x + 3

y = -2x -5

The system can be solved if we solve the equation:

-2x - 5 = x^2 + x + 3

So we need to solve that quadratic equation, we can rewrite it as:

x^2 + x + 3 + 2x + 5 = 0

x^2 + 3x + 8 = 0

Let's check the discriminant to see how many solutions we have:

D = (3)^2 - 4*1*8

D = 9 - 32 = -23

We have a negative discriminant, so we only have complex solutions, thus, the system of equations has no solutions.

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The value of the exterior angle of the  measure of the angle X is found as  120.85°.

For the stated question-

Three angles of the triangle XYZ are-

∠Y = 63.25°

∠Z = 28.8°.

then, by angle sum property of  triangle.

∠X + ∠Y + ∠Z = 180

∠X = 180 - 63.25° - 28.8°.

∠X = 87.95

Thus, exterior angle to X.

Exterior angle = 180 - ∠X (linear pair)

Exterior angle = 180 - 87.95

Exterior angle = 120.85°

Thus, the value of the exterior angle of the  measure of the angle X is found as  120.85°.

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Answer:

the answer is 87.95

Step-by-step explanation:

we are 90% confident that the mean penguin height lies in the range:

14.99 and 15.81

A popular deviation (or σ) is a degree of the way dispersed the facts is on the subject of the imply. Low popular deviation way facts are clustered across the imply, and excessive popular deviation shows facts are greater unfold out. What is the usual deviation example? Consider the facts set: 2, 1, 3, 2, four.

The imply and the sum of squares of deviations of the observations from the imply could be 2.four and 5.2, respectively. Thus, the usual deviation could be √(5.2/5) = 1.01. Standard deviation tells you ways unfold out the facts is. It is a degree of the way some distance every determined fee is from the imply. In any distribution, approximately 95% of values could be inside 2 popular deviations of the imply.

Given sample  mean=x=15.4 kg

sample standard deviation=s=2.5 kg

sample size=n=100 penguins

z multiplier for 90 CI is 1.645

90% CI for population mean is given by:

[tex]X+Z_{\frac{\alpha }{2} } * \frac{Z}{\sqrt[]{N} }[/tex]

15.4 (±)1.645(2.5)/sqrt(100)

15.4(±)1.645(2.5)/10

15.4  (±)  0.41125

15.4-.41125<μ<15.4+.41125

14.98875<μ<15.81125

we  are 90% confident that the mean penguin height lies in the range

14.99 and 15.81

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Answer:

Step-by-step explanation:

Given: AC = CB

CD Bisects AB 

Prove: ΔADC= ΔBDC

AC≅CB Given

AD ≅ DB are congruent because of the segment bisector theorem.

DC≅DC reflexive property

ΔADC≅ ΔBDC  SSS theorem

Answer:

8.24 + 7s + 1

Step-by-step explanation:

You negate everything in the parentheses, so --7s and --1, which turns into 7s and 1.

Answer:

Step-by-step explanation:

The answer is 3.

X=2X-3

X+3=2X

3=2X-X

3=X

Answer:

3x < 2x + 8

Step-by-step explanation:

On tossing a fair coin 9 times, the probability of no more than 8 heads where at least one toss is heads would be 511/512.

The possibility of an event happening is gauged by probability. Many things are difficult to forecast with absolute confidence. We can only anticipate the likelihood of an event occurring using it. Probability can vary from 0 to 1, with 0 being an impossibility and 1 denoting a certainty. For pupils in Class 10, probability is a crucial subject since it teaches all the fundamental ideas of the subject. One is the probability of every event in a sample space.

How to solve?

total number of possibilities on tossing a coin 9 times= 2^9

number of ways to get all heads = 1/2^9

number of getting at most 8 heads = number of ways of getting one tail

= 1 - 1/2^9

=511/512

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(a) The amount will be increasing by 83%.

(b)  Part B's account has a higher percentage change in money over the preceding year than Part A's account.

A part or quantity in every hundred is defined as a percentage. It's a fraction having a denominator of 100. The percentage difference is the change in the value of a quantity over time expressed as a percentage difference. Percentage Change is a term used to describe the growth or decrease in a quantity expressed in percentages.

Find:

Whether the amount is increasing or decreasing over the years and which is experiencing a greater change.

From the given equation,1.831>1 , this shows that money in account A is  83% more, compared to its previous year. The amount will be increasing by 83%.

Part B:

The change in each consecutive term is 94%. This shows that the consecutive term is multiplied by 94%  the previous year's amount. As a result, Part B's account has a higher percentage change in money over the preceding year than Part A's account.

Hence we get the required answer.

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The fraction when five friends divide three bags of apples equally between them is 3/5.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

Therefore, the fraction when five friends divide three bags of apples equally between them will be:

= Number of apple / Number of friends

= 3/5

The fraction is 3/5.

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Answer:

I think the values are :

Step-by-step explanation:

AC= -5

CB= -2

AB= -3

Answer:

Step-by-step explanation

x=2

Answer:2sin(x)

Step-by-step explanation:.

Answer: D.

Step-by-step explanation:

To keep track of each student's preferred hue, Mr. Roberson constructed a frequency table. According to the frequency chart, the following statements are accurate:

Hence, Options B and D are correct.

The number of times a specific value appears in the data is the value's frequency. Frequency tables or charts are used to represent frequency distributions.

A variable's distribution is its frequency pattern, or the collection of all conceivable values and the frequencies corresponding to those values.

Therefore, Options B and D are correct.

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The domain of the function (t) in h(t) = -16t² + 16t+ 96 should be greater than or equal to 3 seconds.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The symbol a < b indicates that a is smaller than b. When a > b is used, it indicates that a is bigger than b.

Given that height of the rocket in feet is given by h(t) = -16t² + 16t+ 96 where t represents the time in seconds after launch

We know that height can not be negative.

∴ h ≥ 0.

So,  - 16t² + 16t+ 96 ≥ 0.

- t² + t+ 6 ≥ 0.

t ≥ 3 seconds.

Therefore the domain of the function (t) in h(t) = -16t² + 16t+ 96 should be greater than or equal to 3 seconds.

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The greatest number of silverware holders Mary can stock is 4, each containing 4 forks and 3 knives so that no fork or knife is left over and are distributed equally.

What is distribution?

When a quantity is to be distributed equally into a certain number of groups, we divide the quantity by the number of groups.

Given: 16 Forks and 12 knives

To find: number of silverware stocks = ?

As we know that the knives and forks should be distributed equally in each silverware holder, 4 forks and 3 knives will go into each of the silverware holder.

Now, we need number of silverware holders each having same number of forks and knives.  

4 forks×4 = 16

3 knives× 4  = 12

∴ Number of silverware holders Mary requires to distribute knives and forks equally with no left over is 4.

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We know that the stack of 10 sheets will be 5 inches thick using simple mathematical operations.

An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value.

The operation's arity is determined by the number of operands.

The rules that specify the order in which we should solve an expression involving many operations are known as the order of operations.

PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition Subtraction (from left to right).

So, we know that:

Each sheet is 1/2 inch thick.

The worker prepares a stack of 10 sheets.

Then, calculate the thickness of the tack as follows:

1/2 * 10

1 * 5

5 inches

Therefore, we know that the stack of 10 sheets will be 5 inches thick using simple mathematical operations.

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The irregular hexagon has an area of 147 square units. (Correct choice: A)

In this problem we have an irregular hexagon that is the result of subtracting a small rectangle from a great rectangle. Likewise, the area of this hexagon is the result of subtracting the area of the small rectangle from the area of the great rectangle. From geometry we know that the area formula for the rectangle is:

A = w · h

Where:

Now we proceed to determine the area of the irregular polygon:

A'' = A - A'

A'' = 13 · 12 - 3 · 3

A'' = 156 - 9

A'' = 147

The area of the irregular hexagon is equal to 147 square units.

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Answer:

x = 9/5 − 4y/5

x = 7 + y/2

Step-by-step explanation:

Move all terms that dont contain x to the right side and solve.

we use is the derivative of top times bottom times top over bottom squared. At the critical point, we want eight X ln x minus four X to equal zero.

Only one answer—two x minus one and one x minus half—will satisfy the condition. The largest and smallest endpoints on the left and right must be determined. On each of these items, there is an E square root. A maximum for the minimums occurs at critical point or endpoints. We can see that these will be absolute according to the extreme value theorem, and here is our maximum.

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660 or it may not be that because only said that theres 22 classrooms. So yeah ;)

30 x 22 = 660 its just multiplication