consider running golden section search on a function that is unimodal. if the method starts with an initial bracket of , what is the length of the bracket after 1 iteration?

No, because the sample size is insufficient and the sample does not represent a distribution that is roughly normal.

What do the numbers mean?

Statistics is the study and manipulation of data, including methods for data collection, evaluation, analysis, and interpretation. Descriptive statistics and inferential statistics are the two main subfields of statistics.

What three sorts of statistics are there?

They are (i) the mean, (ii) the median, and (iii) the mode. The study of statistics involves gathering, analyzing, interpreting, presenting, and organizing data in a particular way.

The population must have a normal distribution, or the sample size must be sufficient to use the central limit theorem, in order to generate a confidence interval. It is not appropriate to create the confidence interval for mean because neither of the two conditions were met in this instance.

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The graph of the linear equality will be a solid line with a y-intercept of negative four and a slope of seven. Description of the graph is The graph will be shaded above the line.

The inequality is expressed as y  ≥ 7x - 4

Now, just focusing on the equality sign

y = 7x - 4

y = 7x + (-4) --- (1)

Any linear equation in slope-intercept form has the following generic form:

y = mx + c --- (2)

so by equation 1 and 2

mx = 7x

m = 7

the equation  y  ≥ 7x - 4,

Put x = 0

y = 7(0) - 4

y = -4

As a result, the graph will look like a solid line with such a negative y-intercept of 4 and a seven slope. It will be shaded above the line on the graph.

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At cathode reduction occurs so, here Ag(s) will form because it has high reduction potential.

However, at anode oxidation occurs and , here the substance with high oxidation potential can oxidises easily so bromine will form.

Electrolysis:

Electrolysis, the process of passing an electric current through a substance to cause a chemical change. A chemical transformation is when a substance loses or gains electrons (oxidation or reduction).

Small silver ions or bromide ions or both.

Electrolysis of the remaining solution is dependent on concentration, pH, electrodes, current density, etc. Some bromine may be present at the anode if there is a significant amount of bromide ions in solution. Otherwise O₂ will occur. Some silver deposition may occur at the cathode if a significant concentration of silver ion solution is present. If not, the electrochemical reaction will be either oxygen reduction or hydrogen evolution.

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The number of black hair pin Janice have is 30.

Given:

Janice ha a collection of 36 hairpin.

1/6 of them are red.

The rest of the pins are black.

we are asked to find the number of black pin Janice have = ?

first calculate the number of red pins:

⇒ 1/6 of 36

⇒ 1/6 × 36

⇒ 6

Janice have 6 red pins, and the remaining as black pins.

⇒ subtract the red pins from the total.

⇒ black pins = 36-6

⇒ black pins  = 30

Hence the number of black pins Janice have is 30.

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Answer:

An equilateral triangle has all side lengths the same, and all angles are 60 degrees. Using this we can split the triangle along its altitude to get two right triangles with a hypotenuse of length 10 and a base of 1/2 of the original length, so 5. Now we can either use the Pythagorean theorem (a^2+b^2=c^2) or the fact that it is a 30 60 90 triangle (angles measure at 30 60 and 90 degrees) Pythagorean theorem is probably easier.

It stated that the squares of the two legs of a right triangle add to the square of the hypotenuse. So a(the altitude)^2+5(the base)^2=10(the hypotenuse)^2

A^2+5^2=10^2

A^2+25=100

A^2=75

A=sqrt(75)

A=5*sqrt(3)

Final answer:

The altitude of an equilateral triangle with side length 10 is 5sqrt(3), or about 8.66

Step-by-step explanation:

Please give the brainliest, really appreciated.

The correct answer is yes, because the p-value is 0.0145.

Null hypothesis is the car accidents are equally distributed through out the year

Alternate hypothesis is the car accidents are not equally distributed through out the year

Given that,

Observed Frequencies = O

Spring - 27

Summer - 39

Fall - 31

Winter - 53

Total number of car accidents = 150

Expected Frequencies = E

Spring - 150/4 = 37.5

Summer - 150/4 = 37.5

Fall - 150/4 = 37.5

Winter - 150/4 = 37.5

Test Statistic = 10.5333

Degrees of freedom = 4-1=3

For 3 degrees of freedom ,

p-value = 0.0145;

Given,  level of significance :

=0.05;

As p-value is 0.0145 < level of significance

0.05; Reject null hypothesis.

Hence, there is sufficient evidence to conclude that car accidents are not equally distributed through out the year because the p-value is 0.0145.

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The required probability that at least five spots will be showing up on the die is 1/6.

A probability is a number that mirrors the opportunity or probability that a specific occasion will happen. Probabilities can be communicated as extents that reach from 0 to 1, and they can likewise be communicated as rates going from 0% to 100 percent.

Since the quantity of decisions or results is six each "roll" of the die on falls on either 1,2,3,4,5 or 6. That is, each roll has a 1/sixth possibility of a solitary number coming up as a result.

So, the probability that at least five spots will be showing up on the die = 1/6.

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Answer:

9x² + 4x + 8

Step-by-step explanation:

(4x² - 5x + 3) - (-5x² - 9x - 5)

4x² - 5x + 3 + 5x² + 9x + 5

9x² + 4x + 8

I hope this helps!

Answer:

The pizza restaurant put 1/10 of the sauce on each pizza.

Step-by-step explanation:

Take the 3/5, and on a calculator divide the 3 by the 5:

0.6

Then, take the 0.6 and divide it by the 6 pizzas:

0.1, converted into a fraction equals 1/10.

The pizza restaurant put 1/10 of the sauce on each pizza.

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The required relation on R on A is explain below

It is a set where either the quantity of components is large or just beginning or finishing is given. In this way, we mean it with the quantity of components, n(A), and on the off chance that n(A) is a characteristic number, it's a limited set.

Let A be finite non-empty set.

Then the exist relation R on A which is both equivalence and order relation.

Suppose A = {a₁, a₂, a₃........an}

And, R = {(a₁, a₁)(a₂, a₂).......}

R not equal to ∅ and it is reflexive, symmetric, transitive, anti symmetric.

Then R is equivalence relation and an order relation.

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The answer to the given word problem is:

4 containers will be required by the baker.

What is a word problem?
A word problem is a mathematical exercise used in the science classroom where key background information is presented in everyday language rather than mathematical notation.

Word puzzles give you a chance to work on your close reading, visualizing, interpreting, and analyzing skills. In a word problem, a story is presented to the students. They must carefully read to comprehend what information is crucial and visualize it to fully comprehend the objective.

Solution Explained:

Given in question,

Total amount of flour = [tex]12\frac{3}{4}[/tex] pounds = 51/4

Each container has a capacity of = [tex]3\frac{1}{2}[/tex] pounds = 7/2

Therefore, Total number of containers required = 51 X 2/ 4 X 7 = 51/14 = 3.6

So if we round it off to a whole number we get, total number ≈ 4

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Using the concept of probability and the information given, it is determined that the probability of a randomly selected student receiving a GED is 0.0175 = 1.75%.

The specified percentages are:

7% of students drop out and 25% of them get  GED.

So 100 - 7 = 93% of students will not drop out. So 0% have a diploma so they doesn't need a GED.

as a result:

p =  0.07 (0.25) + 0.93 (0) =0.0175

A randomly selected student has a 0.0175 = 1.75% chance of receiving her GED.

your question is incomplete but most probably your full question was

In a certain high school, the probability that a student drops out is 0.07 , and the probability that a dropout gets a high-school equivalency diploma (GED) is 0.25 . What is the probability that a randomly selected student gets a GED?

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Using Cosine law,

the angle between two shortest sides of triangle is 85.1°..

We have provided that,

A garden has triangular shape.

let "AB" , "BC" , "CA" be sides of triangular shape garden and

we have the sides of triangle are 475 feet , 595 feet and 401 feet i.e AB = 475 , AC = 595 ,

BC= 401

we have to measure of angle between two shortest sides i.e angle between side AB and BC

let x degree be an angle between two shortest sides of triangle .

Using cosine rule ,

(AC)² = (BC)² + (AB )² - 2 AB×BC Cosx

=> (595)² = (401)² + ( 475)² - 2× 475 ×401 Cosx

=> 2(475×401) Cosx = (401)² + (475)² - (595 )²

=> 2 ( 475×401) Cosx = 32401

=> Cosx = 0.085

=> x = cos⁻¹(0.085) = 85.1°

Hence, the angle between two shortest sides of triangle is 85.1°

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If a team at a factory collected data on the number of nonconforming parts to construct an np-chart then the average fraction has been mentioned below.

The term "average" refers to the mean or centre tendency of a group of data. In other words, it serves as a gauge for the average or median value among a group of numbers. This may be computed by adding up all of the set's values and dividing the result by the total number of values. As an illustration, the average would be (1 + 2 + 3 + 4 + 5) / 5 = 3  if given numbers were 1, 2, 3, 4, and 5.

Average fraction may also be used to represent the expected value or usual outcome of a random variable. For example, if we flip a coin and assign a value of 1 to heads and a value of 0 to tails, the average of the potential outcomes.

How to solve?

= 0.2 and the standard deviation was s = 0.1.

Based on this information, the team can construct an np-chart to monitor the process and identify any potential issues.

The np-chart plots the number of nonconforming parts in each sample against the sample number.

The average fraction nonconforming (p) is indicated by a horizontal line on the chart, and any points that fall outside the upper and lower control limits, which are determined by the standard deviation (s), are considered to be out of control and require further investigation.

This allows the team to monitor the process and take corrective action if necessary to ensure that the number of nonconforming parts remains within acceptable limits.

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You're answer would be 3.21.

↓ Rounding to a decimal...

[tex]3.2142857142857[/tex]

↓ Rounding to the nearest hundredth...

[tex]3.21[/tex]

Thus, your answer is 3.21.

The volume, in cubic inches, of a packing box is 24000 cubic inches

What is a cuboid?

A cuboid is a solid shape or a three-dimensional shape in geometry. A cuboid is a convex polyhedron that has eight vertices, twelve edges, and six rectangular faces. A rectangular prism is another name for a cuboid. A cube is an object with six square faces on a cuboid.

In three-dimensional space, volume is the area occupied by an object within its borders. Another name for it is an object's capacity.

The box is a cuboid.

Volume = length*width*height

             = 40*30*20

             = 24000 cubic inches

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The equation related to the number of hour and amount of water filled is

y=540x+10000.

What is equation?

 An equation is a mathematical formula containing an equal sign. Equations often involve algebra. Algebra is used in mathematics when we don't know the exact number in a calculation. In its simplest form in algebra, the definition of an equation is a mathematical statement that two mathematical expressions are equal. For example, 3x + 5 = 14 is an equation where 3x + 5 and 14 are two terms separated by an equal sign. There are three main forms of linear equations: point-slope form, standard form, and slope  intercept form.

Here given rate per hour = 540 and after 7 hours the pool contain 13780 gallon of water.

Here we need to write equation , then rate is equal to slope.

slope m = 540 .

The number of hours x and amount of water as y, Then,

=> [tex](x_1,y_1)=(7,13780)[/tex]

Now using equation formula,

=> [tex]y-y_1 = m(x-x_1)[/tex]

=> y-13780 = 540(x-7)

=> y-13780 = 540x-3780

=> y = 540x+13780-3780

=> y = 540+10000

Hence the equation is y=540x+10000.

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The statement is false, the true statement is "the mean voltage will be contained in the 99% confidence interval calculated from these data."

Given,

sample=11.77, 11.90, 11.64, 11.84, 12.13, 11.99, 11.77

A 99% confidence interval gives you more assurance that the interval represents the true value in the population. It does, however, provide a wider interval than a 95% confidence interval. For most analyses, a 95% confidence interval is sufficient to extend your results to the general population.

These intervals are simply a way of providing a range of values that we are reasonably confident (either 95% or 99%) includes the true population mean. A 99% confidence interval gives you more assurance that the interval represents the true value in the population.

As a result, the 99% confidence interval calculated from these data will include the mean voltage for the entire set of data.

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Answer:

5

Step-by-step explanation:

FV =PV(1+r)^n

3445.51= 2400(1+0.075)^n

n=4.836

n is about 5

The expressions are solved below :

sinu = -3/5 3π/2 < u < 2π is [ 4th quadrant ]

Now we know that

By using trigonometric identities,

When there are trigonometric functions present in an expression or equation, trigonometric Identities come in handy. Every value of a variable appearing on both sides of an equation is valid in terms of trigonometric identities. These trigonometric functions of one or more angles, such sine, cosine, and tangent, are involved in these geometric identities.

sin²u + cos²u = 1

cos²u= 1-sin²u

cos²u = 1 -(-3/5)²

cos²u= 1 - 9/25

cosu = +4/5

:. u is in 4th quadrant

Now

1.  sin2u = 2 sinu cosu

= 2 (-3/5)(4/5) = -24/25

2. cos2u = 2cos²u- 1

       = 2(4/5)²- 1

       = 7/25

3. tan2u = sin2u /cos2u

              = -24/7

The exact values of the sine, cosine, and tangent of the angle are found.

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When the graph touches the x-axis then, it makes contact with the x - axis and not passes through the x - axis,

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The graph touches the x-axis.

Now,

Let the function of graph is circle.

Then, If it is touches the x-axis then, the y-co-ordinate of the center will be equal to the radius of the circle.

Thus, When the graph touches the x-axis then, it makes contact with the x - axis and not passes through the x - axis.

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In give word problem June 25, 1987 fell on Thursday.

What is word problem?

  Math word problems are math problems consisting of one or more sentences that require children to apply their math knowledge to "real world" scenarios. This means that in order to understand word problems, children must be familiar with the vocabulary associated with familiar mathematical symbols. Students must develop models.

One year = 365 days except for leap years = 366 days

52 weeks in a year 7 days per week = 364 days

1982 25th a Friday, if we move 365 days in the next year we end up on the 25th, but the weekday will be Saturday since we have moved 52 weeks + 1 day into the future.

Hence,

1982 25th Friday

1983 25th Saturday (+1 day)

1984 25th Monday (+1 day and +1 extra day for leap year)

1985 25th Tuesday (+1 day)

1986 25th Wednesday (+1 day)

1987 25th = Thursday

If the system had been 364 days per year, every year we would have end up on the same day every year.

Therefore June 25 , 1987 fell on Thursday.

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The regression equation between temperature of a cup of coffee and time period is In(Temp) = 4.20 - 0.023(Time). The predicted temperature after 3 minutes is 33.45⁰C.

Least-square regression is a representation of data in a linear equation:

y = ax + b

where x, y are data variables.

The regression equation is obtained by minimizing  the distance from  regression line to each data points.

In the given problem, the equation of the least-squares regression line is:

In(Temp) = 4.20 - 0.023(Time),

In this case,

y =  In(Temp)

x = Time

Where ln is the natural logarithmic operator.

When Time = 30 minutes, then,

In(Temp) = 4.20 - 0.023 x 30

In(Temp) = 4.20 - 0.023 x 30

In(Temp) = 3.51

Temp = e^(3.51) = 33.45

Hence, the predicted temperature after 3 minutes is 33.45⁰C

Your question is incomplete, but most probably your question was:

Data was recorded for the temperature, in degrees Celsius, of a cup of coffee over a 30-minute period. Given the regression equation,

In(Temp) = 4.20 - 0.023(Time), what is the predicted temperature after 3 minutes? 33.45 °C 62.24 °C 65.17 °C 66.69 °C

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Answer:

No, it is not possible to create a triangle with these measurements.

Step-by-step explanation:

It must follow these rules:

a + b > c

a + c > b

b + c > a

It cannot be equal to it.

The sprinter gene means having Alpha-actinin-3(ACTN3) gene.

In the given question we have to find what does having the sprinter gene mean.

The ACTN3 gene is the recently identified "sprinters gene."

A gene, as we already stated, codes for a protein. Alpha-actinin-3 is designated by ACTN3. This protein, which can only be found in fast twitch muscle fibres, gives muscles their explosive ability.

The fast twitch muscle fibres of sprinters like Usain Bolt and other Olympic athletes would create a lot of alpha-actinin-3.

In order to summarise the genetic component, an individual has the ACTN3 gene if alpha-actinin-3 is present in muscle cells. They are therefore better suited for quick movements.

However, if a person lacks alpha-actinin-3, they have a variant copy of the ACTN3 gene. In other words, they are appropriate for long-distance activities.

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Answer:

87 degrees

Step-by-step explanation:

since 37 degrees + angle 1 equals to 124 degrees,  in order to found the measurement of angle 1 you just have to do  124 - 37 which is equal to 87 degrees, so 87 degrees is your answer.

The angle 1 is proved congruent to the angle 2 in the triangle ABC and XYZ respectively.

Given, two triangles ABC and XYZ,

we have to prove that the angle A is congruent to the angle X.

Now, as AB = XY (Given)

BC = YZ (Given)

AC = XZ (Given)

By using the Side-Side-Side congruence rule, we get

Δ ABC ≅ ΔXYZ

Now, ∠A = ∠X (By CPCT)

So, the angle 1 is proved congruent to the angle 2 in the triangle ABC and XYZ respectively.

Hence, the angle 1 is proved congruent to the angle 2 in the triangle ABC and XYZ respectively.

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The Ratio Test says that the series converges absolutely it is convergent but not absolutely convergent every absolutely convergent series is also convergent the series is called absolutely convergent

What is the ratio test used for?

Ratio test is one of the tests used to determine the convergence or divergence of infinite series. You can even use the ratio test to find the radius and interval of convergence of power series! Many students have problems of which test to use when trying to find whether the series converges or diverges.

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Possible combinations of 2 seats table and 4 seat tables using linear relation is 2x+4y=120 are (0,30) and (60,0) etc.

Given:

The owner of a new restaurant is ordering tables and chairs. He wants to have only tables for 2 and tables for 4 . The total number of people that can be seated in the restaurant is 120.

Let x and y be the number of 2 seat and 4 seats tables.

2x+4y=120

consider x = 0

0+4y=120

4y=120

y = 30

so combination is (0,30)

if y = 0

2x+4*0=120

2x=120

x = 60

(60,0)

Using this equation we can make different type of combinations.

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