A farmer uses a lot of fertilizer to grow his crops. The farmer's manager thinks fertilizer products from distributor A contain more of the nitrogen that his plants need than distributor B's fertilizer does. He takes two independent samples of four batches of fertilizer from each distributor and measures the amount of nitrogen in each batch. Fertilizer from distributor A contained 23 pounds per batch and fertilizer from distributor B contained 18 pounds per batch. Suppose the population standard deviation for distributor A and distributor B is four pounds per batch and five pounds per batch, respectively. Assume the distribution of nitrogen in fertilizer is normally distributed. Let μ1 and μ2 represent the average amount of nitrogen per batch for fertilizer's A and B, respectively. Which of the following is the approptiate conclusion at the 5% significance level?a. Reject H 0; we can conclude that the mean amount of fertilizer per batch for distributor A is greater than the amount of fertilizer per batch for distributor Bb. Reject H 0; we cannot conclude that the mean amount of fertilizer per batch for distributor A is greater than the amount of fertilizer per batch for distributor B.c.Fail to reject H 0; we can conclude that the mean amount of fertilizer per batch for distributor A is greater than the amount of fertilizer per batch for distributor Bd. Fail to reject H 0; we cannot conclude that the mean amount of fertilizer per batch for distributor A is greater than the amount of fertilizer per batch for distributor B

The maximum number of tickets an airline should sell on a flight with 300 seats so that it can be approximately 99% confident that all ticket holders who do show up will be able to board the plane is 324.

The maximum number of tickets an airline should sell on a flight with 300 seats so that it can be approximately 99% confident that all ticket holders who do show up will be able to board the plane is 326.   This is calculated using the 1/2-value correction (de Moivre-Laplace Approximation). The 1/2-value correction assumes the normal distribution is symmetric, with the mean in the middle of the distribution. This means that the probability of being above the mean is equal to the probability of being below the mean.  Since the airline wants to be 99% confident that all ticket holders who do show up will be able to board the plane, this means that the airline needs to sell enough tickets such that the probability of being above the mean (300 tickets sold) is 99%.   Using the 1/2-value correction, the airline needs to sell 326 tickets to achieve this confidence level.

This is calculated as follows:   P(x > 300) = 0.99  P(x < 300) = 0.01  Using the 1/2-value-correction:

P(x = 300 + 0.5) = 0.99

Therefore,   x = 300 + 0.5=>  x = 300.5 => x = 326

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The coordinates of point G are (-8, -10)

A midpoint of a line segment is the point on a segment that bisects the segment into two congruent segments

The midpoint of a line segment is the point on a segment that is at the same distance or halfway between the two ending points.

midpoint(M) = (-6, -3)

H = (-4, 4)

let the coordinates of G be (p,q)

taking the x coordinates for M, G and H

-6 = p -4/2

cross multiply

p -4 = -12

p = -12 + 4

p = -8

taking y-coordinates

-3 = q +4/2

q + 4 = -6

q = -6 -4

q = -10

coordinates of G (-8, -10)

in conclusion the coordinates of G is ( -8, -10)

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Comparing the square root of 18 and twenty three fifths using an inequality is ✓18 < 23/5.

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

The square root of 18 will be 4.25

23/5 will be 4.6

Therefore, we can see that 4.6 is greater than 4.25.

In this case, ✓18 is less than 23/5.

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Answer:

4√3

Step-by-step explanation:

 √48

If we factor it out we will get

√4^2 ⋅ 3

Then we pull terms out from under the radical

4√3

So, the answer is 4√3

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49 is the smallest possible value of x.

Given: x, y, and z are three perfect square numbers.

What is the least x that can be?

Currently, we have three numbers by the stipulation:

x > y > z > 0

and AP has these figures.

Let's now list every perfect square from 1 to 10 in the following order: 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100.

As a result, we can observe that 25 is equal to the product of 1 plus 49.

The possible outcomes are 1, 25, and 49.

If x = 49 and z = 1, then

x + z / 2 = y

49 + 1 / 2 = y

y = 50 / 2

y = 25

Y is therefore 25 and X is 49.

As a result, 49 is the lowest value of x that can exist.

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R ≥75 will be the inequality to symbolize the need that each individual bring home at least one rose, and for the cost requirement, it will be, 1.45R + 0.65C ≤ 200.

A connection that compares two numbers or other mathematical expressions unequally is known as an inequality in mathematics. Most frequently applied when comparing two numbers on the number line that differ in size.

Given:

Jada has $200 she can use to buy flowers. Each carnation costs $0.65 and a rose costs $1.45, so 75 guests may leave with at least one rose.

Jada has a total of $200.

Let R be the number of roses Jada bought.

There will be 75 persons in all present at the event.

As a result, the cost of R roses at $1.45 each is 1.45R.

Combined with roses C: Jada bought carnations.

Currently, each carnation costs $0.65.

Cost of C carnations at $0.65 per flower, then, equals 0.65C.

Inequality will serve as a restraint that requires everyone to bring home at least one rose,

[tex]R \geq 75[/tex]

There will be inequality that represents the cost limitation.

[tex]1.45R + 0.65C \leq 200[/tex]

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Nicole and Jared are both accurate. To generate an equation with just one variable, you can solve for either variable and then use the equivalent expression.

In the given question, when solving a system of equations, Jared found y = x + 10 for one equation and substituted x + 10 for y in the other equation.

Nicole found x = y - 10 for the same equation and substituted y - 10 for x in the other equation.

We have to check who is correct.

Nicole and Jared are both accurate. To generate an equation with just one variable, you can solve for either variable and then use the equivalent expression. You can then resolve. In contrast to Nicole, who would have produced a one-variable equation that can be used to solve for y, Jared would have produced an equation with just one variable that can be used to get the value of x.

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The right question is:

When solving a system of equations, Jared found y = x + 10 for one equation and substituted x + 10 for y in the other equation. Nicole found x = y - 10 for the same equation and substituted y - 10 for x in the other equation. Who is correct? Explain.

Answer:

game is free. Is the total cost to bowl a function of the

Step-by-step explanation:

Answer:

y = -  [tex]\frac{1}{4}[/tex] x - 1

Step-by-step explanation:

y = mx + b  

Slope:

The m is the slope in the equation.  Look at the two points given.  If you start at the point on the left, you go down 1 and 4 to the right.  1/4

Y-intercept:

The y intercept is the b.  It is where the line crosses the y axis.  It crosses at -1

Answer:

----------------------------------------

Slope- intercept form:

Use two points on the graph:

The first point is a y-intercept, b = - 1

Find the slope:

The line is:

If this same bet is made 621 times,then we expect to lose of $4514670

Probability

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

The bet is done 621 times then expected value is that we may have a loss of $4514670.if the bet is that is heart comes we will get $615 and lose $37 if not comes.

$615 if hearts come and lose $37 when not comes and bet is made 621 times. Calculate the expected win after 621 times.

There are 578 hearts in the standard deck of cards.

Probability is the chance of happening an event among all the events possible. The formula of calculating probability is as under:

Probability= number of items/ total number of items.

When two cards are chosen at random without replacement then the probability of getting two hearts is 578/52*577/51

=333,506/2652

=125.75

When two cards are chosen at random without replacement then the probability of not getting two hearts is 1-125.75

=124.75

When  bet is made only 1 time expected value will be 125.75*615-124.75*37

=77,336.25 - 4,615.75

=-72720.5 means we are expecting to lose $2.05.

When bet is made 762 times then the expected value will be -72720*621= 4514670.

Then the expected value when bet is made 621 times is that we will lose $4514670 .

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Therefore , 48 kilometers per second is the speed of Mercury as it orbits the Sun. Mercury's distance from Earth is 96 kilometers in 2 seconds.

An object's speed can be determined by calculating the distance it covers in a given amount of time. For instance, an automobile is moving at 70 miles per hour if it covers 70 miles in an hour (miles per hour).

Here,

The speed of Mercury as it orbits the Sun is 30 miles per second.

In kilometers/second, Mercury's rate of rotation around the Sun

= 30 1.6 kilometers per second

= 48 kilometers/second

Mercury will move right now in 2 seconds.

=> equals 48 + 2 kilometers

=> 96 kilometers.

Therefore , 48 kilometers per second is the speed of Mercury as it orbits the Sun. Mercury's distance from Earth is 96 kilometers in 2 seconds.

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The required length is 16 units in the given rectangle.

The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.

The perimeter of a rectangle = 2(L+W)

Where W is the width of the rectangle and L is the length of the rectangle

We have been given that the perimeter of a rectangle is 60 and the width is 14

To determine the length of the given rectangle.

P = 2(L+W)

Here P = 60, and W = 14

60 = 2(L + 14)

60/2 = L + 14

30 - 14 = L

L = 16

Thus, the required length is 16 units in the given rectangle.

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On solving the provided question we can say that the answer is third one , that equation is 3 x = 0.

Any equation that can be written in standard form, with x denoting an unknown value and a, b, and c denoting known integers, is referred to as a quadratic equation in algebra. In general, it is assumed that a > 0; equations with a = 0 are thought to be degenerate since they become linear or even more basic.

Here,

thus ,the given equation :

x - 5 = 4

6 x + 4 = 4

3 x = 0

x + 9 = 9

Thus , the given equation  3 x = 0  have 0 as its solution.

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All of the above can be a representation of a function:

A function can be represented in a variety of ways, such as:

All of these methods are valid representations of a function and can be used to explore and better understand the function.

Which of the following can be a representation of a function?

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Using the substitution method equation form is x is 3 and y is1

Form of Point: (3 , 1 )

Equation Form: x = 3 and y =1

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Option (e) SE(u(x)) = 1 is incorrect about the sample correlation coefficient between two random variables X and Y based on a set of bi-variate points (X i , Yi )

The examination of the relationship between two variables is possible using bivariate analysis, which also has many real-world applications. It seeks to determine whether there is a link between the variables and how strong it is.

You can examine an association or causality hypothesis using bivariate analysis. It also aids in the prediction of dependent variable values based on changes in an independent variable.

The correlation coefficient (R) is a numerical value that ranges from -1 to 1. It reveals the strength of the linear relationship between the two specified variables.

The coefficient is referred to as Pearson's correlation coefficient when used to describe a linear regression.

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Answer:

44+27i

Step-by-step explanation:

Multiply using the FOIL method, then combine the real and imaginary parts of the expression.

Answer:

Perimeter 34 cm

Area 42 [tex]cm^{2}[/tex]

Step-by-step explanation:

Perimeter:

Perimeter is the measurement of the distance around the figure.  I started on the far left of the rectangle and then went around counter clockwise.

3 + 3 + 3 + 5 + 3 + 3 (this is not labeled, but I see that the other sides is 3)

+3 + 5 + 3 + 3

8(3) + 2( 5) = 24 + 10 = 34

The perimeter is 34 cm

Area:

Area of the rectangle

a = l x w

a = 10(3) = 30

Area of the triangle

a = 1/2 (l x w)

a = 1/2(4 x 3) = 1/2(12) = 6

There are 2 triangles so the area of both is 12

Total area: 30 + 12 = 42

The area is 42 [tex]cm^{2}[/tex]

Any whole number, fraction, or decimal that terminates or repeats is a rational number. Any number that cannot be divided into a fraction and hence does not meet the concept of a rational number is said to be irrational.

When it comes to rationality, we have

r + 2s = c/d and r = a/b.

The result of the substitution is a/b + 2s = c/d

2s= c/d-a/b=(bc-ad)/bd

s = (bc-ad)/2bd

Now that both (bc - ad) and (bd) are integers, bd is not equal to 0

As a result, the integer s is a quotient of the two integers (bc - ad) where bd is not equal to 0. So, s is rational according to the definition. This disproves the idea that s is irrational.

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The surface area is 131 square units.

The surface area of a solid object is a measure of the total area that the surface of the object occupies

An upward point normal to the plane 33x−19y+z=1,0≤x,y≤1  is  is

N=<33,−19,1>

Therefore F⋅N=33y−19z+x

Since the plane is defined by the equation z=1+19y-33x

the dot product becomes 33x−(33y−19z+x)+x=628x-328y-19

The limits of integration are given as 0≤x≤1,  0≤y≤1

Therefore the surface integral becomes

∫ ∫S F⋅dS= [tex]\int\limits^1_0 \int\limits^1_0{(628x-328y-19)dy} \, dx[/tex]

=[tex]\int\limits^1_0{(628x-183)} \, dx[/tex]

=314x²-183x|₀¹

=131

Hence, the surface area is 131 square units.

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According to the given area of rectangle, the length and width of the rectangle is 7 and 21 respectively.

Area of rectangle

The standard form of calculating the area of the rectangle is written as,

A = l x w

where l refers the length and w refers the width of the rectangle.

Given,

Here we have given that the area of a rectangle is 147 square feet. And we need to determine the length and width if the length is three times the width.

Let us consider length of rectangle is n,

Then the width of rectangle is 3n.

Here we have to remember that the area of a rectangle is

=> A = n x 3n = 3n²

Here we are told that the area,

=> 3n²=147

Then the value of n² = 49

Therefore, the length is 7 and the width is 21.

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Answer:

A. 2.3

Step-by-step explanation:

because it become 23/10 when you turn it into a fraction

Step-by-step explanation:

7x+8xy-72y

Since x=-2 and y=4

Then u just input it

7(-2)+8(-2)(4)-72(4)

-14-64-288

-366

From the given information, Therefore, the function [tex]= > y = 4(\frac{5}{6} )^x[/tex] is an exponential decay.

The process of decreasing a sum at a constant percentage rate over time is referred to in mathematics as exponential decay. It may be written as the formula y=a(1-b)x, where y represents the final amount and a, b, and x, respectively, represent the initial amount and the decay factor.

The formula for an exponential function is where b is a positive integer that is not equal to 1.

Whether a function is an exponential growth or a decay depends on the value of b. If b > 1 or if b<  1, an exponential function exhibits exponential growth and exponential decline, respectively.

given,

[tex]= > y = 4(\frac{5}{6} )^x[/tex]

[tex]= > b = \frac{5}{6} < 1[/tex]

Therefore, the function [tex]= > y = 4(\frac{5}{6} )^x[/tex] is an exponential decay.

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Answer:

B) -2x+y=8

Step-by-step explanation:

First I looked at the graph and found the y-intercept and slope.

Y-intercept = 8

I found that because the point was the on the y-axis line like (0,8)

To find the slope I identified the next point. From the Y-intercept (0,8), you have to go down 8 units. Then I saw the point go left 4 units which makes it negative.

Slope = -8/4, which is also -2

Slope Intercept Equation (y=mx+b) would be: y=-2x+8

Then I compared it to the options and that's what I got.

Let T be a binary search tree with n nodes, in which n > 0. When I is linear, the search algorithm makes n key comparisons, in unsuccessful case.

The BST (Binary Search Tree) is a tree where all nodes on the left and right sides of a given node are larger and less than each other.

The nodes of the BST are not kept in a continuous location because it is a non-linear data structure. The element is absent from the list in the best-case scenario, making it a worst-case scenario.

The worst-case temporal complexity for linear structures is O. (n).

In the worst scenario, there will be n key comparisons.

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The right question is:

Let T be a binary search tree with n nodes, in which n > 0. When I is linear, the search algorithm makes.......................... key comparisons, in unsuccessful case.

The given functions we proved and solved.

(1) given mapping is not a function because element 1 in domain has two distinct images 2 and 3.

For the function we must have for every element of domain there must be unique image in co-domain.

It does not define a function......(option First)

(2) As we know mod function  always returns with positive sign

Therefore domain and co domain are already given to be integers.

Range set will set of non-negative integers.

(3) Here we have from the graph

f(-2)  and f(0)=1

The only map satisfies these two conditions is:

f(x) = x+1

(4) The second function f:R→R such that f(x)=2x+7 is the ony one-one function.

Because f(x)=f(y)

2x+7=2y+7

2x=2y

x=y

Hence f(x) is one one.

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Answer:

b c and d

Step-by-step explanation:

The number of tickets that will be sold is 5,560.

What is division?
A division is one of the fundamental mathematical operations that divides a larger number into smaller groups with the same number of components. How many total groups will be established, for instance, if 20 students need to be separated into groups of five for a sporting event? The division operation makes it simple to tackle such issues. Divide 20 by 5 in this case. 20 x 5 = 4 will be the outcome. There will therefore be 4 groups with 5 students each. By multiplying 4 by 5 and receiving the result 20, you may confirm this value.

Ticket sales for Six Flags White Water totaled $94,520 this summer.

Tickets for the water park cost $17 each.

The number of tickets that will be sold is =  $94,520/17 = 5,560.

Hence the number of tickets that will be sold is 5,560.

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