please help with this problem i need to show my work
Local stores have donated 30 packets of flower seeds and 105 packets
of vegetable seeds. Carter wants to know what portion of the seeds are
flower seeds. Write a fraction to represent the ratio of flower seeds to the
total amount of seeds. Then, write the fraction as a decimal number.

The margin of error for the confidence interval is approximately 0.014, indicating that the estimate of the proportion of dissatisfied customers could be off by approximately plus or minus 0.014. This means that we can be 95% confident that the true proportion of dissatisfied customers falls within the range of the estimated proportion ± 0.014.

(a) To find the sample size needed to achieve a margin of error of about 0.015 with a 95% confidence level, we can use the formula for sample size calculation for proportions:

n = (Z^2 * p * (1-p)) / E^2

Where:

n = sample size

Z = critical value (corresponding to the desired confidence level)

p = estimated proportion of the population

E = margin of error

In this case, the estimated proportion of dissatisfied customers is 0.17, and the desired margin of error is 0.015. Since we want a 95% confidence level, the critical value can be obtained from a standard normal distribution table. The critical value for a 95% confidence level is approximately 1.96.

Plugging these values into the formula, we have:

n = (1.96^2 * 0.17 * (1-0.17)) / 0.015^2

n ≈ 1901.63

Therefore, the sample size needed is approximately 1902.

(b) If 25% of the sample say they are not satisfied, we can calculate the margin of error using the following formula:

MoE = Z * sqrt((p * (1-p)) / n)

Where:

MoE = margin of error

Z = critical value (corresponding to the desired confidence level)

p = proportion of the sample

n = sample size

Using the same critical value of 1.96 for a 95% confidence level and plugging in the values:

MoE = 1.96 * sqrt((0.25 * (1-0.25)) / 1902)

MoE ≈ 0.014

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Using the formula they gave us:

Cost of shipping = 2.79 + 0.38(8)

Cost of shipping = 2.79 + 3.04

Cost of shipping = 5.83(currency unit)

To solve this problem, you will first use the Angle Sum Property to determine the value of x after creating an algebraic equation, combining like terms, and subtracting from both sides of an equation.

The Angle Sum Property states that all interior angles of a triangle will summate to 180º.

An equation can be created to find this when you are given two angles and missing a third. That third angle can be referred to as x in this scenario.

Adding the two known angles and the unknown angle will result in a sum of 180º. This means that our unknown is x and can therefore be placed in an equation:

\(65+42+x=180\)

Combine the like terms by combining the constants on the left side of the equation using addition:

\(65+42+x=180\)

\(107+x=180\)

After combining like terms, subtract 107 from both sides of the equation:

\(107 - 107 +x = 180-107\)

\(\boxed{x=73}\)

The final answer is x = 73 degrees.

The slope of the line tangent to the graph of \(y = x^2 - 2x + 1\) when \(x = 1\) is 2.



1. Take the derivative of the given function: \(y' = 2x - 2\).

2. Substitute \(x = 1\) into the derivative: \(y' = 2(1) - 2 = 2\).



To find the slope of the tangent line, we need to differentiate the given function with respect to \(x\). The derivative of \(x^2\) is \(2x\), and the derivative of \(-2x\) is \(-2\). Therefore, the derivative of \(y = x^2 - 2x + 1\) is \(y' = 2x - 2\).

Next, we substitute \(x = 1\) into the derivative to find the slope at that point. By plugging in \(x = 1\) into the derivative, we get \(y' = 2(1) - 2 = 2\). Thus, the slope of the tangent line at \(x = 1\) is 2.

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Answer:

Step-by-step explanation:

Find the difference:

Find the ratio:

Find the ratio:

Answer:

Step-by-step explanation:

we know that

the area of the rectangle = Length x Width

here

The width measurement of the rectangle

Solution :-

Area of the rectangle = Length x Width

=> 108.35 = 7.8 x width

\(width \: = \frac{108.35}{7.8} \\ = > width \: = 13.891025641 \: m\)

The width of the rectangle is 13.891025641 m option C) 13.89 m is the correct answer

Answer:

1. x=4

2. x=15

Step-by-step explanation:

1. Add '-42' to each side of the equation.

42 + -42 + -2x = 50 + -42

Combine like terms: 42 + -42 = 0

0 + -2x = 50 + -42

-2x = 50 + -42

Combine like terms: 50 + -42 = 8

-2x = 8

Divide each side by '-2'.

x = -4

Simplifying

x = -4

2.

Add '35' to each side of the equation.

-35 + 35 + 7x = 70 + 35

Combine like terms: -35 + 35 = 0

0 + 7x = 70 + 35

7x = 70 + 35

Combine like terms: 70 + 35 = 105

7x = 105

Divide each side by '7'.

x = 15

Simplifying

x = 15

Answer:

0.00001808958

Step-by-step explanation:

hope this helps you :)

Answer:

multiple choice have 30 questions

word problems have 8 questions

Step-by-step explanation:

x=multiple choice. y=word problems

2x+5y=100 ---eq1

x+y=38 ---eq2

y=38-x ---eq3

substitutet eq3 into eq1

2x+5(38-x)=100

2x+(-5x)+190=100

2x-5x=100-190

-3x=-90

x=-90/-3

x=30

substitute x to eq3

y=38-(30)

y=8

multiple choice have 30 questions

word problems have 8 questions

Answer:

D is correct.

Step-by-step explanation:

2x ≤ 14

x  ≤ 7

Answer:

D) x ≤ 7

Step-by-step explanation:

2x + 1 ≤ 15

2x ≤ 15 - 1

2x ≤ 14

x ≤ 14 : 2

x ≤ 7

Answer:

1. 8

2. 9

3. 1

4. 3

5. 125/1000

Step-by-step explanation:

hope I  helped :)

Answer:

\(x \geq 7\)

Step-by-step explanation:

First inequality

\(-27 > -4x - 7\\\to 4x > 20\\\to x > 5\)

Second inequality

\(-35 \geq -4x - 7\\\to 4x \geq 28\\\to x \geq 7\)

We are given that x is greater than 5 and greater or equal to 7.
We can summarize this down to \(x \geq 7\)

Answer:

Inequality notation: [7, ∞)

Number Line:

7 (closed dot), point towards positive infinity.

Step-by-step explanation:

-27 > -4x - 7 and -35 ≥ -4x - 7

+7            +7         +7            +7

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

-20 > -4x               -28 ≥ -4x

÷-4     ÷-4                ÷-4   ÷-4

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

5 < x                        7 ≤ x or x ≥ 7

Inequality notation includes the numbers that are included or the"≥" symbol.

Number line:

                                      --------->

<------------------------------|------------>

                                    7

I hope this helps!

Answer:

6 because 54÷9 is 6

there is 6 balloons in each pack.

The number of balloons in each pack will be 6. The correct option is A.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Ben has 9 packs of balloons. He has 54 balloons in all. The number of the ballons will be calculated as,

Number = Total balloons / Packs of ballons

Number = 54 / 9

Number = 6

Hence, the number of balloons in each pack will be 6. The correct option is A.

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Ok, so

Here we have the expression:

Remember that:

If we rewrite:

If we have the same radical, we can sum the terms:

Answer:

a. £46144.8

b. ?

Step-by-step explanation:

The recursive algorithm is procedure power(a: nonzero real number, n: positive integer), if n=0 then power(a,2)power(2,n)=a

else power(a,2)power(2,n)=power(a,2)power(2,n-1).

Recursive algorithms are ones that call themselves with "smaller (or simpler)" input values and get the output for the current input by performing straightforward operations on the output from the smaller (or simpler) input. More generally, one can use a recursive method to solve a problem if solutions to smaller versions of the same problem can be used and the smaller versions can be reduced to situations that are simple to tackle. A recursive algorithm, for instance, can be used to determine the members of a set that has been formed recursively or the result of a function that has been defined recursively.

Given that \(a^{2^{n}\) , where  is a real number and  is a positive integer.

We have to find the recursive algorithm to \(a^{2^{n}\)

We can base a recursive algorithm on the recursive definition of

This definition states that \(a^{2^{n+1}\) = \(a^{2^{n}\)×\(a^{2}\)  for n>0

And the initial condition \(a^{2^{0}\) = a

Now to find \(a^{2^{n}\)  successively use the recursive step to reduce the exponent until it becomes zero.

We gives this procedure in below Algorithm

procedure power(a: nonzero real number, n: positive integer)

if n=0 then power(a,2)power(2,n)=a

else power(a,2)power(2,n)=power(a,2)power(2,n-1)

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Answer:

A.) -8h

Step-by-step explanation:

a.) . (5 – 2h) (3 + h)  

a.) (5 – 2h) (3 + h)  

(5+3) (h-2h)

8(-h)

-8h

Answer:

3, 10, 17, 24

Step-by-step explanation:

The others don't have a common pattern so it is the last one.

The common difference in the last one is 7.

So the last one is the correct answer.

Hope this helps =]

The equation of the line that is perpendicular to y = 1/2x - 6 and that passes through the point (-4, -5) is y = -2x + 3

From the question, we are to determine the equation of the line that is perpendicular to the given line and that passes through the given point.

The given equation is y = 1/2x - 6

The given point is (-1, 5)

NOTE: If two lines are perpendicular, then their slopes are negative reciprocals of each other

First, we will determine the slope of the given line

y = 1/2x - 6

Compare to the general form of an equation of a straight line

y = mx + b

Where m is the slope

and b is the y-intercept

Therefore,

The slope of the line is 1/2

But,

The negative reciprocal of 1/2 is -2

Thus, the slope of the equation we are to determine is -2

Now, we will determine the equation of the line that has a slope of -2 and that passes through the point (-1, 5)

Using the point-slope form of the equation of a straight line

y - y₁ = m(x - x₁)

Then,

y - 5= -2(x - (-1))

y - 5 = -2(x + 1)

y - 5 = -2x -2

Add 5 to both sides of the equation

y - 5 + 5 = -2x - 2 + 5

y = -2x + 3

Hence, the equation of the line is y = -2x + 3

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Answer:

y = x^58/5

Step-by-step explanation:

Nothing further can be done with this topic. just remove the parentheses and it becomes x^58 and u cannot dive because they’re like terms

Answer:

Step-by-step explanation:

If the mother wants to get the amount of ice cream bars that will not contain any leftovers for her family of four, the least amount of boxes the mother could purchase to receive her goal is 2 boxes

MATH-

1 box= 6 bars

2 boxes= the bars(6)x2, which is equal to 12 ice cream bars

If you split 12 evenly between the members of her family which is 4 people,

12÷4=3 or 4x3=12

each family member would receive 3 ice cream bars each.

Answer:

hello y=  

10/ 33x −81.6

Step-by-step explanation:

i hope this helps 229 999 0523

Answer:

Below

Step-by-step explanation:

6.5 x 10^-9   is the same as  65 x 10^-10    now you can add them together (since the exponents are the same ) to get

69.6 x 10 ^-10  which is   6.96 x 10^-9

In a lumped parameter analysis, the temperature profile with time is typically represented by an exponential curve, option a

1. Lumped parameter analysis: This analysis assumes that the system being studied can be represented by a single node or point with uniform properties. It simplifies the problem by neglecting spatial temperature variations within the system.

2. Temperature profile: The temperature profile refers to how the temperature changes within the system over time.

3. Exponential curve: In many cases, the temperature profile in a lumped parameter analysis follows an exponential curve. This curve represents an exponential decay or growth of temperature over time. The rate of change of temperature decreases exponentially as time progresses.

4. Reasoning: The exponential curve is commonly observed in situations involving heat transfer, such as the cooling or heating of objects. It occurs due to the exponential relationship between the temperature difference and the rate of heat transfer. As the temperature difference decreases, the rate of heat transfer decreases, resulting in a gradual approach to equilibrium.

Therefore, the correct answer is (a) Exponential.

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Yes, two samples can have the same range but different means. The range of a dataset is a measure of the spread or dispersion and is determined by the difference between the maximum and minimum values. The mean, on the other hand, represents the average value of the dataset.

To illustrate this concept, let's consider two different samples:

Sample 1: 1, 5, 6, 9, 10

Sample 2: 2, 4, 7, 8, 10

Both samples have a range of 9 (10 - 1).

However, the means of the samples are different. The mean of Sample 1 is

(1 + 5 + 6 + 9 + 10) / 5 = 6.2,

while the mean of Sample 2 is

(2 + 4 + 7 + 8 + 10) / 5 = 6.2.

Despite having the same range, the means differ between the two samples.

The range only considers the extreme values of the dataset, whereas the mean takes into account all values and provides an average measure. It is possible for the individual values within the samples to be distributed differently, resulting in different means, even if the range remains the same.

Therefore, the range and the mean are distinct measures that capture different aspects of the dataset. While it is possible for two samples to have the same range, they can still have different means based on the specific values and their distribution within each sample.

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The height of the cone is the same as the radius of the circular sheet of paper, which is 2 cm. The slant height of the cone is the hypotenuse of a right triangle with legs equal to the radius and the circumference of the sector.

The circumference of the sector is 2 * pi * 2 cm = 4 pi cm.

The slant height of the cone is therefore sqrt(2^2 + 4 pi^2) = sqrt(4 + 16 pi^2) = 2 * sqrt(1 + 4 pi^2) in simplest radical form.

Therefore, the height of the cone is 2 cm and the slant height of the cone is 2 * sqrt(1 + 4 pi^2) cm.

The radius of the cone is the same as the radius of the circle, which is 2 cm. The slant height of the cone is the hypotenuse of a right triangle with legs equal to the radius and the circumference of the sector.

The circumference of the sector is 2 * pi * 2 cm = 4 pi cm.