kylie works for a large nursery and is investigating whether to use a new brand of seeds. the new brand of seeds advertises that 93% of the seeds germinate, which is higher than the germination rate of the seeds she is currently using. she will change over to this new brand unless the actual germination rate is less than what is advertised. kylie conducts an experiment by randomly selecting 76 seeds of the new brand and plants them. she finds that 70 of those seeds germinated. what are the null and alternative hypotheses for this hypothesis test?

Answer:

a

Step-by-step explanation:

just bc it is

T-test is commonly used to examine whether two groups are significantly different from each other or not.

A t-test is an inferential statistic used to determine if there is a significant difference between the means of two groups and how they are related. T-tests are used when the data sets follow a normal distribution and have unknown variances, like the data set recorded from flipping a coin 100 times.

It is a statistical test that is used to compare the means of two groups. It is often used in hypothesis testing to determine whether a process or treatment actually has an effect on the population of interest, or whether two groups are different from one another.

T-test is used to determine whether two groups are different or not.

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The T-test is commonly used to examine whether two groups are significantly different from each other or not.

A T-test is used to determine if two groups are different.

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You will be able to withdraw approximately $3,076.32 at the end of 5 years.

To calculate the amount you will be able to withdraw at the end of 5 years, we can use the future value formula for compound interest.

The formula for calculating the future value (FV) of a present value (PV) invested at an annual interest rate (r) for a certain number of years (t) is:

\(FV = PV * (1 + r)^t\)

Given:

PV = $2,300

r = 6% = 0.06 (decimal representation)

t = 5 years

Substituting these values into the formula, we get:

FV = $2,300 * \((1 + 0.06)^5\)

Calculating the expression inside the parentheses:

\((1 + 0.06)^5 = 1.338225\)

Multiplying the present value by this factor:

FV = $2,300 * 1.338225

FV ≈ $3,076.32

Therefore, you will be able to withdraw approximately $3,076.32 at the end of 5 years.

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You deposit $2,300 into an account that pays 6% per year. Your plan is to withdraw this amount at the end of 5 years to use for a down payment on a new car. How much will you be able to withdraw at the end of 5 years? Do not round intermediate calculations. Round your answer to the nearest cent

The projected balance of cash at the end of August is $38,000. The correct option is D.

To calculate the projected balance of cash at the end of August, we need to consider the cash balance at the beginning of the month, cash collections, and cash payments for August.

Given that the cash balance on July 31 was $32,000.00, we start with this amount.

Cash collections for August are $52,000.00, which means this amount is added to the cash balance.

Next, we consider cash payments for August, which include purchases of direct materials and operating expenses. The total cash payments for August are $20,000 (purchases of direct materials) + $26,000 (operating expenses) = $46,000.00. This amount is subtracted from the cash balance.

Finally, we calculate the projected balance of cash at the end of August by adding the cash collections and subtracting the cash payments from the beginning cash balance:

Projected cash balance at the end of August = Beginning cash balance + Cash collections - Cash payments

= $32,000 + $52,000 - $46,000

= $38,000

Therefore, correct option is D.

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Complete question is:

Berman Company is preparing its budget for the third quarter. Cash balance on July 31 was $32,000.00. Assume there is no minimum balance of cash required and no borrowing is undertaken. Additional budgeted data are provided here:

                                         July           Aug             Sep

Cash collections       $51,000.00 $52,000.00 $50,000.00

Cash payments

Purchases of direct materials     23,000     20,000        24,000

Operating expenses       32,000      26,000    22,000

Capital expenditures      7,000       9,000      13,000

Calculate the projected balance of cash at the end of August.

A. $23000

B. $29000

C. $107000

OD. $38000

Answer:

Step-by-step explanation:

you can complete the square or use a calculator online that does it for you.

the equation is in the for y = a(x-h)^2 + k

it should be y = (x + 3)^2 + 3

Answer:

The correct answer is \(y = - (x - 3)^{2} +21\).

Step-by-step explanation:

To solve this equation (y = \(-x^{2} +6x + 12\)), we want to first complete the square. To do this, we want to add a -9 to the expression in order to achieve \(y = -x^{2} +6x - 9 + 12\).

Then, you want to add the -9 to the other side of the equation to get \(y - 9 = -x^{2} + 6x - 9 + 12\).

Then, we factor out the negative sign from the right side of the equation. This is a negative 1 that can therefore make the polynomial easier to factor. This leaves us with \(y - 9 = -(x^{2} -6x+9) + 12\).

Now, we use an identity in algebra that is difference of two squares identity. This says that \(a^{2} -2ab +b^{2} =(a-b)^{2}\).

So, we will then factor the trinomial -\(x^{2} -6x+9\) to get \(-(x-3)^{2}\). Our new and updated equation is \(y-9 = -(x-3)^{2} +12\).

Now, we move the constant of -9 to the right side of the equation. This just means we are going to add this to 12. This gives us \(y = -(x-3)^{2} +21\).

This is our final equation.

Answer:

The answer is B!

Step-by-step explanation:

If you can figure out one part you can get the second part.

I went for the second part and got 471 so the only answer is b!

Have an amazing day!

Please mark brainliest!

Answer:

a) 84π b) 109.2π

Step-by-step explanation:

The formula to find this is v=πr^2h/3

r=d/2. so the radius (r) is 6 because you have to divide the diameter (12) by 2. and the height is 7. so, 6^2=36 and 36x7=252.

252/3=84

and because the question is asking for the EXACT value, you need to just put the pi symbol next to it. Final answer for a is 84π

B) you need to find 30% of 84, which is 25.2 and add it to 84, and you will get 109.2! Final answer is 109.2π.

Answer:

four quadrants on the monitors: Left, Right, Top Middle and Bottom Middle.

Step-by-step explanation:

Therefore, The differential of the function z = e−9x cos(6t) with respect to both x and t is given by dz = (∂z/∂x)dx + (∂z/∂t)dt.

The differential of the function z = e−9x cos(6t) with respect to both x and t is given by dz = (∂z/∂x)dx + (∂z/∂t)dt.
Using the chain rule, we find that ∂z/∂x = -9e^(-9x)cos(6t) and ∂z/∂t = -6e^(-9x)sin(6t).
Substituting these values, we get dz = (-9e^(-9x)cos(6t)dx) + (-6e^(-9x)sin(6t)dt).
The differential of a function is a measure of the sensitivity of the function to small changes in its inputs. In this case, we are asked to find the differential of the function z = e^-9x cos(6t) with respect to both x and t. To do this, we use the chain rule to find the partial derivatives of z with respect to x and t, and then substitute them into the formula for the total differential. The resulting differential dz represents the change in z due to small changes in both x and t.

Therefore, The differential of the function z = e−9x cos(6t) with respect to both x and t is given by dz = (∂z/∂x)dx + (∂z/∂t)dt.

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The x-intercept of the line calculator is (-1,0) while the y-intercept is (0,-3).

To determine the x-intercept, let y = 0 and solve for x in the equation y = 3x - 1.

Substitute 0 for y in the equation.0 = 3x - 1

Add 1 to both sides1 = 3x

Divide both sides by 3x = 1/3

The x-intercept of the line is (1/3, 0).

To find the y-intercept, let x = 0 and solve for y in the equation y = 3x - 1.

Substitute 0 for x in the equation.y = 3(0) - 1y = -1

The y-intercept of the line is (0, -1).

Therefore, the x-intercept is (1/3, 0), and the y-intercept is (0, -1).

Therefore, The x-intercept of the line calculator is (-1,0) while the y-intercept is (0,-3). The calculation above supports the conclusion.

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Answer:

Total sales to be made = $13108.57

Step-by-step explanation:

Given that:

Monthly salary = $1959

Commission = 6.3%

Monthly pay to be earned = $2784.84

Commission amount = 2784.84 - 1959 = $825.84

Let,

x be the amount of sales

6.3% of x = 825.84

\(\frac{6.3}{100}x=825.84\\0.063x=825.84\)

Dividing both sides by 0.063

\(\frac{0.063x}{0.063}=\frac{825.84}{0.063}\\x=13108.57\)

Hence,

Total sales to be made = $13108.57

The value of y when x is 5, we can determine the value of y when x is 22 by finding the constant of variation, k, and then substituting it into the equation. In this case, we found that y is equal to 22/5 when x is 22.

To find the value of y when x = 22, we can use the concept of direct variation. Direct variation occurs when two variables are related in such a way that one variable is a constant multiple of the other. In this case, we are told that y varies directly as x, which means that y is directly proportional to x.

Let's denote the constant of variation as k. Since y varies directly as x, we can express this relationship as:

y = kx

We are given that when x = 5, y = 1. We can use this information to find the value of k. Substituting these values into the equation, we have:

1 = k * 5

Solving for k, we divide both sides by 5:

k = 1/5

Now that we have the value of k, we can use it to find y when x = 22. Substituting x = 22 and k = 1/5 into the equation, we have:

y = (1/5) * 22

Simplifying, we get:

y = 22/5

Therefore, when x = 22, y = 22/5.

In summary, when x varies directly as y and we know the value of y when x is 5, we can determine the value of y when x is 22 by finding the constant of variation, k, and then substituting it into the equation. In this case, we found that y is equal to 22/5 when x is 22.

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The following points are 5 or more units apart: A and B, G and D, G and F, G and E, F and E, E and B, (4, 3 and (4, -2), (6, -2) and (0, -2), (3, -7) and (3, -1)

When two points on a graph are 5 or more units apart, it means that there is a significant difference in the values of the function at those points.

For example, if we have two vertical or horizontal points (x1, y1) and (x2, y2) on a graph such that |x1 - x2| ≥ 5, it means that the x-values of the two points are at least 5 units apart.

Similarly, if |y1 - y2| ≥ 5, it means that the y-values of the two points are at least 5 units apart.

Using the above as a guide, the following points are 5 or more units apart

A and B, G and D, G and F, G and E, F and E, E and B, (4, 3 and (4, -2), (6, -2) and (0, -2), (3, -7) and (3, -1)

We have

N = (6, 8)

The point that is 8 or more units apart from N could be

Point = (6, 8 + at least 8)

So, we have

Point = (6, 8 + 9)

Point = (6, 17)

Hence, the point is (6, 17)

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When diameter is 60 mm, the volume increases at a rate of 22,620 mm³/s.

Step 1: Create an equation that connects a sphere's volume to radius as the first step.

V = 4/3*π*r³

Step 2: Calculate each side's derivative in respect to time (Let the time be "t").

(d/dt)V = (d/dt)(4/3*π*r³)

dV/dt = 4πr²*dr/dt

Step 3: The problem description informs us that the diameter is 600 m, hence r must be 30 mm.

Additionally, it is stated that now the radius of a sphere is expanding at a rate of 2 mm/s; as a result, dr/dt must equal 2 mm/s.

We are interested in dV/dt, or the rate of change of the sphere's volume.

dV/dt = 4π(30mm)²*(2mm/s)

dV/dt = 22,620 mm³/s

So, when diameter is 60 mm, the volume increases at a rate of 22,620 mm³/s.

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a) The relationship between b and c is that c cannot be zero.

b) b can be any nonzero constant and c is equal to 2.5 in this case.

In two dimensions, the compatibility equations for strain are,0

∂εx/∂y + ∂γxy/∂x = 0

∂εy/∂x + ∂γxy/∂y = 0

where εx and εy are the normal strains in the x and y directions, respectively, and γxy is the shear strain.

Using the given strain field, we can calculate the strains,

εx = -4.5cx² + 10.5cy

εy = 1.5cx² - 7.5cy²

γxy = 1.5bxy

Taking partial derivatives and plugging them into the compatibility equations, we get,

⇒ -9cx + 0 = 0

⇒ 0 + (-15cy) = 0

These equations must be satisfied for the strain field to be compatible. From the first equation,

We get cx = 0, which means c cannot be zero.

From the second equation, we get cy = 0,

Which means b can be any nonzero constant.

For part b:

We are asked to find the displacements u and v corresponding to the given strain field at points (3, 7), assuming they are zero at point (0, 0) and using c = 2.5.

To find the displacement components,

We need to integrate the strains with respect to x and y. We get,

u = ∫∫εx dx dy = ∫(10.5cy) dy = 5.25cy²

v = ∫∫εy dx dy = ∫(1.5cx² ) dx - ∫(7.5cy²) dy = 0.5cx³ - 2.5cy³

Plugging in the values of c and b, we get,

u = 5.25(2.5)(7)²  = 767.62

v = 0.5(2.5)(3)³ - 2.5(7)³ = -8583.75

Therefore,

The displacements at points (3, 7) are u = 767.62 and v = -8583.75.

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Answer:

\(m_1= \frac{1}{4}\)

Step-by-step explanation:

Given

\(A = (4,-1)\)

\(B =(3,3)\)

Required

Slope of line perpendicular to AB

First, we calculate the slope of AB using:

\(m=\frac{y_2 -y_1}{x_2 -x_1}\)

This gives:

\(m=\frac{3--1}{3-4}\)

\(m=\frac{4}{-1}\)

\(m=-4\)

The line perpendicular to AB has the following slope (m1):

\(m_1= -\frac{1}{m}\)

So, we have:

\(m_1= -\frac{1}{-4}\)

\(m_1= \frac{1}{4}\)

Answer:

False.

Step-by-step explanation:

In translation, rotation and reflections there is no size change but in dilation the size of the pre-image changes.

So, it is false.

The expression x + 80 represents the number of coins Arthur has now, since he x pennies and an additional 6 dimes and 4 nickels.

We shall convert the pennies, dimes and nickels into same unit before adding to get the expression for the number of coins Arthur will have in total.

A penny = 1 cent, so

x pennies = x cents

A dime = 10 cents so;

6 dimes = 6 × 10cents

6 dimes = 60 cents

A nickel = 5 cents so;

4 nickels = 4 × 5 cents

4 nickels = 20 cents

Arthur's coins in total = (x + 60 + 40) cents

Arthur's coins in total = (x + 80) cents.

Therefore, the expression expression x + 80 represents the number of coins Arthur will have in total, wether in pennies, dimes or nickels.

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The probability of event A given that event B has occurred is approximately 0.444

Using the formula for conditional probability, we have:

P(A|B) = P(A ∩ B) / P(B)

Here, P(A ∩ B) = 0.4 and P(B) = 0.9. To get P(A|B), we need to get P(A ∩ B) as well. Since we do not know P(A), we cannot calculate P(A ∩ B) directly. However, we can use the formula for the probability of the intersection of two events:

P(A ∩ B) = P(B) * P(A|B)

Substituting the given values, we have:

0.4 = 0.9 * P(A|B)

Solving for P(A|B), we get:

P(A|B) = 0.4 / 0.9

P(A|B) ≈ 0.444

Therefore, the probability of event A given that event B has occurred is approximately 0.444.

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The values of the variables, a, b, and c obtained from the equation of the circle and the coordinates of the point P are;

a) a = 2

b = -2

c = 4

The general equation of a circle is; (x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The coordinates of the radius of the circle

The specified equation of a circle is; x² + y² = 9

The coordinates of the center of the circle, is therefore, O = (0, 0)

a) The coordinates of the points P  and O indicates that the gradient of OP, obtained using the slope formula is; ((3·√3)/4 - 0)/(3/2 - 0) = ((3·√3)/4)/(3/2)

((3·√3)/4)/(3/2) = (√3)/2

The specified form of the gradient is; (√3)/a, therefore;

(√3)/a = (√3)/2

a = 2

The value of a is 2

b) The gradient of the tangent to a line that has a gradient of m is -1/m

The gradient of OP is; (√3)/2, therefore, the gradient of the tangent at P is -2/(√3)

The form of the gradient of the tangent at P is b/(√3), therefore;

-2/(√3) = b/(√3)

b = -2

The value of b is; -2

c) The coordinate of the point on the tangent, (0, (7·√3)/c) indicates

Slope of the tangent = -2/(√3)

((7·√3)/c - ((3·√3)/4))/(0 - (3/2)) = -2/(√3)

((7·√3)/c - ((3·√3)/4)) = (3/2) × 2/(√3) = √3

(7·√3)/c = √3 + ((3·√3)/4) = 7·√3/4

Therefore; c = 4

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D. horizontal translation 3 unites left.

Answer:

25,600 and  33,113

Step-by-step explanation:

The computation of the number of students studied abroad in each country is shown below:

Let us assume second most popular host country be x

And the most popular be x + 7513

And, the total students is 58713

Now the equations are

x + x + 7513 = 58713

2x = 58713 - 7513

2x = 51,200

x = 25,600

So the number of students studied abroad is

= 25,600 + 7513

= 33,113

the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.

The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.

We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)

7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³

36 = (4/3)r³

27 = r³

r = 3  Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)

(dr/dt) = 7 / (4π(9))

(dr/dt) = 7 / (36π)

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Work factor is the amount of effort (usually in hours) required to perform cryptanalysis to decode an encrypted message when the key or algorithm (or both) are unknown.

Work factor refers to the estimate of the effort or time required by a potential perpetrator, with specified expertise and resources, to overcome a protective measure. In cryptography or cryptanalysis, a work factor refers to the amount of effort which is generally measured in units of time which is required to break down a cryptosystem. The work factor of a cryptosystem is linked to its key-length and the working mechanism used (encryption and decryption algorithms).

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Answer:

D

Step-by-step explanation:

For the rectangular floor, Ms. Perea will need 235 tiles to cover her kitchen floor.

What exactly is a rectangle?

A rectangle is a four-sided polygon with four right angles (90-degree angles). It has opposite sides that are equal in length and parallel to each other. The rectangle is a special case of a parallelogram, where the opposite sides are also parallel. The two sides that are equal in length are called the "width" or "short side", while the other two sides are called the "length" or "long side". The area of a rectangle is found by multiplying its length by its width, while its perimeter is found by adding the lengths of all four sides.

Now,

To find the number of tiles Ms. Perea will need to cover the kitchen floor, we can divide the total area of the floor by the area of each tile.

The area of the kitchen floor is given by:

Area = Height x Width = 12.5 ft x 22.5 ft = 281.25 sq ft

The area of each tile is given by:

Area of tile = Length of tile x Width of tile = 1.5 ft x 0.8 ft = 1.2 sq ft

To find the number of tiles required, we can divide the area of the kitchen floor by the area of each tile:

t = Area / Area of tile

Substituting the values, we get:

t = 281.25 sq ft / 1.2 sq ft ≈ 234.375

Since we cannot have a fractional number of tiles, we need to round up to the nearest whole number. Therefore, Ms. Perea will need 235 tiles to cover her kitchen floor.

The equation that can be used to find the number of tiles she will need is:

t = (Height x Width) / (Length of tile x Width of tile)

or

t = (12.5 ft x 22.5 ft) / (1.5 ft x 0.8 ft)

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Answer:

x = -8, y = -4

Step-by-step explanation:

First we want to write the equations so the variables line up

\(2x - 5y = 4\\3x - 2y = -16\\\)

Next, we could either multiply one of the equations to cancel out the x's or the y's, either one works.

I will choose to cancel out the x's

\(-3R_1 + 2R_2\\-6x + 15y = -12\\6x - 4y = -32\)

add the equations and solve

\(11y = -44\\y = -4\)

once you have one variable, you can use it to solve the other

\(2x - 5(-4) = 4\\2x + 20 = 4\\2x = -16\\x = -8\)

verify

\(3(-8) - 2(-4)\\-24+ 8\\-16\\\)

it works