7) If you can buy 4 tulip bulbs for $8
then how many
bulbs can you buy with $32?

Answer:

Answer and steps in picture.

Answer:

You can reject the null at the 10% and 5% level of significance, but cannot reject the null at the 2%, or 1% level of significance. ( D )

Step-by-step explanation:

let : P = 0.6

x = 135 , n = 200

p = 135 / 200 = 0.675

H0 : P = 0.6

Ha : P ≠ 0.6

performing the test statistic = ( 0.675 - 0.6 ) / \(\sqrt{\frac{0.60(1-0.60)}{200} }\)

= 0.075 / 0.0346 ≈ 2.17

p-value = 2 * P ( Z > - 2.17 )  ( using excel function ; NORMSDIST )

            = 2 * 0.015  = 0.03  

Answer:

2) 98/15 meters

21/5 + 7/3 = 63/15 + 35/15 = 98/15

3) 7/12 of the loaf

1/3 + 1/4 = 4/12 + 3/12 = 7/12

4) 19/8 inches

9/8 + 5/4 = 9/8 + 10/8 = 19/8

5) 73/6 cups

29/3 + 5/2 = 58/6 + 15/6 = 73/6

Let me know if this helps!

Answer:

3x + 9

Step-by-step explanation:

Based on the task content given; the solution to the equation for x 3 1/2(2 1/5x - 4 2/3) - 5 5/6 = 0 is 2 203/231

3 1/2(2 1/5x - 4 2/3) - 5 5/6 = 0

(3 1/2 × 2 1/5x) - (3 1/2 × 4 2/3) - 5 5/6 = 0

(7/2 × 11/5x) - (7/2 × 14/3) - 35/6 = 0

77/10x - 98/6 - 35/6 = 0

77/10x = 98/6 + 35/6

77/10x = 98+35 / 6

77/10x = 133/6

x = 133/6 ÷ 77/10

= 133/6 × 10/77

= 1330/462

x = 2 406/462

= 2 203/231

Learn more about simplification:

https://brainly.com/question/723406

#SPJ1

Explanation:

You can verify this by plugging each root into the equation.

So for instance, plug in x = -2 and we get

f(x) = -3*(x+2)*(x-sqrt(3))*(x-4)

f(-2) = -3*(-2+2)*(-2-sqrt(3))*(-2-4)

f(-2) = -3*(0)*(-2-sqrt(3))*(-2-4)

f(-2) = 0

This verifies x = -2 is a root.

All that matters is that zero buried in there in the second to last step. Multiplying 0 by anything leads to 0. The other roots are verified in the same manner. The -3 out front is the leading coefficient.

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

Extra info:

Keep in mind that without the population standard deviation, it is impossible to provide an exact sample size. However, this formula will give you a good starting point.

To find the sample size needed for a 99.5% confidence interval with a margin of error of 1.5, we can use the formula:

n = (Z * σ / E)^2

where n is the sample size, Z is the Z-score corresponding to the desired confidence level, σ is the population standard deviation, and E is the margin of error.

For a 99.5% confidence interval, the Z-score is approximately 2.807 (from a standard normal distribution table). Since we do not have the population standard deviation (σ), we will need to estimate it using a sample standard deviation or use a conservative approach by assuming the maximum possible value. For now, let's assume we have an estimated standard deviation.

n = (2.807 * σ / 1.5)^2

Solve for n by plugging in the estimated standard deviation (σ) and then round up to the nearest whole number, as you cannot have a fraction of a sample.
To learn more about : formula

https://brainly.com/question/29797709

#SPJ11

Answer:

Enter each answer as a fraction in simplest form, as a decimal, and as a percent. You draw one card at random from a shuffled deck of 52 playing ...

-by-step explanation:

Soln,

Area of Parallelogram= B.H

= 6.14

=84 https://tex.z-dn.net/?f=in%5E%7B2%7D%20

Answer:

Step-by-step explanation:

The length of the arc is proportional to the central angle.

The circumference of the circle is given by ...

  C = 2πr

  C = 2π(8 in) = 16π in ≈ 50.265 in

The 60° arc represents 60°/360° = 1/6 of the circle, so its measure will be 1/6 of the total circumference.

 short arc = (1/6)(16π in) ≈ 8.38 in

The remaining portion of the circle is 5/6 of the total circumference, so is ...

  long arc = (5/6)(16π in) ≈ 41.89 in

__

Additional comment

If you use 3.14 for pi, you will get shorter lengths for the arcs. Here, we used the calculator's "pi button."

The correct image include the following: B. Green: image A.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

By applying a rotation of 270° clockwise about the point (1, 2) to the coordinate of the vertices of blue block D, the coordinate the vertices of of its image would be located at the position of the Green: image A.

In this context, we can reasonably infer and logically deduce that Green: image A is the correct transformed shape.

Read more on rotation here: brainly.com/question/28854313

#SPJ1

Answer:  Any number over itself is equivlent to 4/4.

Examples: 3/3, 18/18, 5/5, 90/90

Step-by-step explanation:

Because 4/4 is equivalent to 1 whole.

A fraction that is equivalent to 4/4 would be, 5/5 as, After simplifying the fraction 5/5 is equal to 1.

A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction.

Given that,

The fraction is,

⇒ 4/4

Now, after simplifying the fraction we get;

⇒ 4/4

⇒ 1

So, Let a fraction that is equivalent to 4/4 would be;

⇒ 5/5

After simplifying we get;

⇒ 5/5 = 1

Therefore, A fraction that is equivalent to 4/4 would be, 5/5

To learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ6

Because both the x and y variables are associate with a value, you don’t just add 3x and 2x.

You have:

3x^5y^8 + 2x^5y^7

Apply the exponent rule a^b+c = a^ba^c

This means x^5y^8 = x^5y^7y

Now you have:

3x^5y^7y + 2x^5y^7

Since they both now have an x^5y^7 in them factor the out of both:

When you take that out it’d both numbers you are left with 3y + 2

The final answer is: X^5y^7(3y +2)

Answer:

13.5

hope it helpeddddd

:P

Step-by-step explanation:

Answer: 13.5

Step-by-step explanation: Just divide

The distance between points R and S is  \(\sqrt{ (185)\). The correct answer is D. She made no errors.

Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is shown:

RS = √(-4) (-3))² + (7 − 5)²

= √(-1)² + (2)²= √1 + 4

= √5

The error is with the order of subtraction in the formula for the distance between two points.

Heather did not make any errors in calculating the distance between two points. Therefore, the correct answer to the question above is (OD) She made no errors.

The formula for the distance between two points, A (x1, y1) and B (x2, y2), in the coordinate plane is given as;

dAB = \(\sqrt{  ((x^2 - x1)^2 + (y2 - y1)^2)\)

Comparing the given question with the formula above, we have;

A = R (-3, -4) and B = S (5, 7)The distance, AB = RS.

Therefore, we have;

RS = \(\sqrt{ ((5 - (-3))^2 + (7 - (-4))^2)\)

On solving the above equation;RS = \(\sqrt{ ((5 + 3)^2 + (7 + 4)^2)\)RS

= \(\sqrt{ (8^2 + 11^2)RS\)

= \(\sqrt{ (64 + 121)RS\)

= \(\sqrt{ (185)\)

Therefore, the distance between points R and S is  \(\sqrt{ (185)\).

From the calculation, it is clear that Heather did not make any errors while calculating the distance between two points. The answer obtained by Heather is correct.

For more questions on distance between

https://brainly.com/question/15958176

#SPJ8

Answer:

w = 50

Step-by-step explanation:

−w /20  = −2.5

Step 1: Simplify both sides of the equation.

−1 /20 w = −2.5

Step 2: Multiply both sides by 20/(-1).

( 20/ −1 ) * ( −1/ 20 w) = ( 20 /-1 ) * (−2.5)

w = 50

Answer:

o think it is one ton in pounds

The annualized return for the entire period is the closest to 10.5%.

To calculate the annualized return for the entire period, we need to consider the returns for each year and the return in the first quarter of Year 4. Since the returns are given for each period, we can use the geometric mean to calculate the annualized return.

The formula for calculating the geometric mean return is:

Geometric Mean Return = [(1 + R1) * (1 + R2) * (1 + R3) * (1 + R4)]^(1/n) - 1

Where R1, R2, R3, and R4 are the returns for each respective period, and n is the number of periods.

Given the returns:

Year 1 return: 5% or 0.05

Year 2 return: 12% or 0.12

Year 3 return: -6% or -0.06

First quarter of Year 4 return: 2% or 0.02

Using the formula, we can calculate the annualized return:

Annualized Return = [(1 + 0.05) * (1 + 0.12) * (1 - 0.06) * (1 + 0.02)]^(1/3) - 1

Annualized Return = (1.05 * 1.12 * 0.94 * 1.02)^(1/3) - 1

Annualized Return = 1.121485^(1/3) - 1

Annualized Return ≈ 0.105 or 10.5%

Therefore, the annualized return for the entire period is approximately 10.5%.

For more question on return visit:

https://brainly.com/question/30761579

#SPJ8

9514 1404 393

Answer:

  100

Step-by-step explanation:

4 = 2² . . . case 1

9 = 3² . . . case 2

16 = 4² . . . case 3

The number of blocks is the square of the number 1 greater than the case number. For case 9, the number of blocks is (9+1)² = 10² = 100.

  100 blocks are needed for the 9th case.

The value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.

The value of angle x and angle y is calculated by applying principle of angles formed by parallel lines as follows;

The value of angle adjacent x = 102⁰

The value of angle x   is calculated as;

x = 180 - 102 ( sum of angles on a straight line)

x = 78⁰

The value of angle y is calculated as follows;

y = 115⁰ (corresponding angles are equal)

Thus, the value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.

Learn more about corresponding angles here: https://brainly.com/question/2009183

#SPJ1

(i) This allocation satisfies the condition for efficiency because there is no other allocation that can make one agent better off without making another agent worse off.
(ii) This allocation is envy-free because neither agent would prefer the allocation of the other agent to their own.

(iii) This allocation satisfies both the conditions for efficiency and envy-free, as neither agent would prefer the allocation of the other agent to their own and there is no other allocation that can make one agent better off without making another agent worse off.

An allocation is Pareto efficient if there is no other allocation that can make one agent better off without making another agent worse off. Similarly, an allocation is envy-free if no agent would prefer the allocation of another agent to their own.

(i) A Pareto efficient allocation would be one where Agent A receives 10 units of x and Agent B receives 5 units of y. This allocation satisfies the condition for efficiency because there is no other allocation that can make one agent better off without making another agent worse off.

(ii) An envy-free allocation other than equal division would be one where Agent A receives 7 units of x and 2 units of y, and Agent B receives 3 units of x and 3 units of y. This allocation is envy-free because neither agent would prefer the allocation of the other agent to their own.

(iii) To identify an envy-free and efficient allocation, we can solve the problem graphically. We can draw the indifference curves for each agent and find the maximum indifference curve attainable for each agent given the indifference curve for the other agent. For Agent A, the maximum attainable indifference curve is where they receive 10 units of x and 0 units of y. For Agent B, the maximum attainable indifference curve is where they receive 0 units of x and 5 units of y. The vertices of these indifference curves lie at (10, 0) and (0, 5), respectively. Each agent's expansion path is the set of all of its vertices, which are (10, 0) for Agent A and (0, 5) for Agent B. An envy-free and efficient allocation would be one where Agent A receives 8 units of x and 1 unit of y, and Agent B receives 2 units of x and 4 units of y. This allocation satisfies both the conditions for efficiency and envy-free, as neither agent would prefer the allocation of the other agent to their own and there is no other allocation that can make one agent better off without making another agent worse off.

Learn more about  Allocation

brainly.com/question/29976811

#SPJ11

The solution is Option A.

The coordinate of the triangle after the translation is given by A' ( 0 , -3 ) with 4 units right and 4 units down

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.

Given data ,

Let the coordinate of the triangle be represented as A

Now , the coordinate A = A ( -4 , 1 )

Now , the coordinate of the triangle after translation is A' ( 0 , -3 )

when there is a translation of the coordinate A by 4 units to the right , we get

A to 4 units right = A ( -4 + 4 , 1 )

The new coordinate of A = A ( 0 ,  1 )

Now , A to 4 units down , we get

The coordinate of A' = A' ( 0 , 1 - 4 )

The coordinate of A' = A' ( 0 , -3 )

Hence , the translated coordinate is A' ( 0 , -3 )

To learn more about translation click :

https://brainly.com/question/19007400

#SPJ1

Answer:

Parallel line: \(y=4x+33\)

Perpendicular line: y = \(\frac{-1}{4}x-1\)

Step-by-step explanation:

From the given equation \(y=4x-2\), the number multiplied by \(x\) is the slope of that equation, so the slope is 4 in this case.

Let's use the point slope form in this question:

\({y-y__1}=m({x-x__1})\)

where \({x__1}\) and \(y__1\) are the given points in your question:

\({x__1}=-8\)

\({y__1} = 1\)

and m is the slope.

Parallel line:

Since parallel means the same slope as the given equation, we put \(m = 4\) first.

\({y-1}=4({x-(-8)})\)

\(y=4x+33\)

This is the equation that is parallel to \(y=4x-2\) and also passes through \((-8,1)\).

Perpendicular line:

Since perpendicular means exactly 90° with the given equation, multiplying their slopes and the product will always be \(-1\).

Let's find m first,

\(4* m = -1\)

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

Now using the same point slope form with the same \(x__1\) and \(y__1\):

\({y-y__1}=m({x-x__1})\)

\({y-1}=\frac{-1}{4} ({x-(-8)})\)

\(y=\frac{-1}{4}x-1\)

This is the equation that is perpendicular to \(y=4x-2\) and also passes through \((-8,1)\).

Answer:

-6x + 15 < 10 - 5x or 11x > 5

Step-by-step explanation:

The truck driver would deliver 105 packages in a 7 hours day

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:

y - 15 = [(60-15)/(4-1)](x - 1)

y = 15x

For a 7 hour day (x = 7):

y = 15(7) = 105

The driver would deliver 105 packages in 7 hours

Find out more on equation at: https://brainly.com/question/29174899

#SPJ1

Answer:

2n+8=25

Equation

Step-by-step explanation:

n=8.5

This is the answer

Answer:

1/4

Step-by-step explanation:

First you add all of the marbles in the bag which is 16 marbles.  The fraction of red marbles to the total would be 4/16.  In the simplest form that is 1/4. You can also just do 4 divide by 16 which gives you 0.25 and in decimal form that is 1/4.

Answer:

0 hundreds

0 tens

7 ones

.

4 tenths

0 hundredths

8 thousandths

Standard form=7.408

Step-by-step explanation:

Lets first solve (7x1)+(4x1/10)+(8x1/1000)

7+0.4+0.008

Simplify:

7.408