You wish to compute the 90% confidence interval for the population proportion. How large a sample should you draw to ensure that the sample proportion does not deviate from the population proportion by more than 0. 08? No prior estimate for the population proportion is available

Answer:

1.65 pounds

Step-by-step explanation:

6.6 ÷ 4 = 1.65

Answer:

1.65

Step-by-step explanation:

since all together it weighs 6.6 pounds then 1 = x then you cross multiply after cross multiplying you divide 4 by 6.6. Then x = 1.65

There is only one equiangular octagon that Jordan can create with side lengths as the first 8 positive integers.

To create an equiangular octagon with side lengths as the first 8 positive integers, each side must have a different length. The sum of the interior angles of an octagon is 1080 degrees, so each angle in the octagon must measure 135 degrees.

If we arrange the 8 integers in decreasing order, we can label the longest side as a and the remaining sides as b1, b2, b3, b4, b5, b6, in descending order. Then, we must have:

a + b1 + b2 = a + b2 + b3 = a + b3 + b4 = a + b4 + b5 = a + b5 + b6 = a + b6 + b1 = 135 degrees

Simplify each equation, we get:

b1 - b3 = b2 - b4 = b3 - b5 = b4 - b6 = b5 - b1 = b6 - a

Since all the side lengths are different, we can use these equations to find all possible combinations of side lengths. By inspection, we can see that there is only one set of side lengths that satisfies these conditions, namely:

a = 8

b1 = 7

b2 = 6

b3 = 5

b4 = 4

b5 = 3

b6 = 2

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A basis for the subspace of all vectors satisfying the equation x + y + z = 0 is {(-1, 0, 1), (0, 1, -1)}.

SOLUTION:

A basis for the subspace of all vectors (x, y, z) satisfying the single equation x + y + z = 0 can be found by solving this system of linear equations.

Step 1: Choose two variables to express in terms of the remaining variable.
Let's express x and y in terms of z. From the given equation, we get:
x = -y - z
y = -x - z

Step 2: Choose two independent vectors that satisfy the equations.
We can choose two independent vectors by setting z = 1 and z = -1:

When z = 1:
x = -y - 1
y = -x - 1
Let y = 0, then x = -1, so one vector is (-1, 0, 1).

When z = -1:
x = -y + 1
y = -x + 1
Let x = 0, then y = 1, so the other vector is (0, 1, -1).

Therefore, a basis for the subspace of all vectors satisfying the equation x + y + z = 0 is {(-1, 0, 1), (0, 1, -1)}.

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Answer: yes

Step-by-step explanation:

there is a 50% chance of landing on heads which means that you are statistically likely to have cereals for half a month and toast for half a month. half a month is usually 15 days so your friend is correct

please mark brailiest

Answer:

When calculating the area of a triangle, you multiply the base by the height and then divide the result by 2. This is because a triangle is half of a parallelogram or a rectangle, and these shapes have an area equal to base times height. By dividing by 2, you are finding half of the area of the parallelogram or rectangle.

For a trapezoid, you can find the area by taking the average of the bases and multiplying it by the height. So the formula for the area of a trapezoid is A = (b1 + b2)h/2, where b1 and b2 are the lengths of the two parallel bases and h is the height. There is no need to divide the result by 2 because the formula already takes the average of the bases into account.

the probability that a randomly selected female has a pulse rate between 60 and 90 beats per minute is approximately [tex]0.0214 or 2.14%.[/tex]

(a)The probability of the pulse rate being less than 79 beats per minute, but there is no information given about the pulse rate. Please provide the necessary information for me to answer this part of the question.

(b) To find the 75th percentile for pulse rates of females, we need to use the normal distribution table or a calculator to find the z-score corresponding to the 75th percentile, which is 0.674. Then, we can use the formula:

[tex]z = (x - μ) / σ[/tex]

where x is the pulse rate, μ is the mean, and σ is the standard deviation. Rearranging the formula to solve for x, we get:

[tex]x = z * σ + μ[/tex]
[tex]x = 0.674 * 39 + 171[/tex]
[tex]x = 197.186[/tex]

Therefore, the 75th percentile for pulse rates of females is approximately 197 beats per minute.

(c) To find the probability that a randomly selected female has a pulse rate between 60 and 90 beats per minute, we need to standardize the values using the z-score formula:

[tex]z1 = (60 - 171) / 39 = -2.846[/tex]
[tex]z2 = (90 - 171) / 39 = -1.974[/tex]

Then, we can use the normal distribution table or a calculator to find the area under the standard normal distribution curve between these two z-scores:

[tex]P(-2.846 < Z < -1.974) = 0.0214[/tex]

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Answer:

To convert a decimal to an equivalent fraction, we need to first determine the place value of the decimal. For example, a decimal that ends in the tenths place (such as 0.4) has a denominator of 10. A decimal that ends in the hundredths place (such as 0.25) has a denominator of 100.

Once we have determined the denominator, we can convert the decimal to a fraction by placing the digits of the decimal in the numerator and the denominator. For example, 0.4 can be converted to the fraction 4/10. We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which in this case is 2. So 4/10 simplifies to 2/5.

In general, to convert a decimal to a fraction, we can follow these steps:

1. Determine the denominator based on the place value of the decimal.

2. Place the digits of the decimal in the numerator and the denominator.

3. Simplify the fraction by dividing both the numerator and denominator by their greatest common factor.

It's important to note that sometimes decimals can be rounded, so the resulting fraction may not be exact. In such cases, we can use approximations or continue to simplify the fraction until we reach a desired level of accuracy.

The answer is one intersection.

What is a function?

A function is a relationship or expression involving one or more variables.  It has a set of input and outputs.

The graph of the function f(x) = 0.8x is a straight line with slope 0.8 passing through the origin (0, 0). The graph of the function g(x) = ⌊x⌋ is the collection of all points (x, y) where y is the greatest integer less than or equal to x. This function is not continuous and has a discontinuity at each integer.

To find the intersections between the two graphs, we need to determine where the values of f(x) and g(x) are equal.

we need to find the integer values of x where 0.8x and x are equal.

0.8x = x

0.2x = 0

x = 0

Thus, the two graphs intersect at the point (0, 0). There are no other intersections between the two graphs, since they have different slopes and one is continuous while the other is not. Therefore, the answer is one intersection.

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Answer: The first 24 cupcakes cost $1.50 each, and all cupcakes after that cost $1 each.

Step-by-step explanation:

The graph shows two pieces of the function, with one increasing from the point (0, 0) through the point (12, 18) to the endpoint (24, 36) and the other increasing from the point (24, 36) through the point (48, 60) to the right.

This means that the first 24 cupcakes cost $1.50 each and all cupcakes after that cost $1 each, as shown by the first piece of the function. The second piece of the function shows that the price per cupcake does not increase after 36 cupcakes, so option 3 and option 4 can be eliminated.

Therefore, the correct answer is: The first 24 cupcakes cost $1.50 each, and all cupcakes after that cost $1 each.

Answer:

16

Step-by-step explanation:

because it is a square number. The other numbers, if you square root them you won't get a whole number.

The first four terms of the sequence are 3, -15, 75, and -375.

In a arithmetic sequence, the common difference is the fixed value that is added to (or subtracted from) each term to get the next term in the sequence.  

To find the first four terms of the sequence given by aₙ= 3(-5)ⁿ⁻¹, we simply substitute n = 1, 2, 3, and 4, respectively, into the formula for an and evaluate:

a₁= 3(-5)¹⁻¹ = 3(-5)⁰= 3(1) = 3

a₂ = 3(-5)²⁻¹ = 3(-5)¹= -15

a₃ = 3(-5)³⁻¹ = 3(-5)²= 75

a₄= 3(-5)⁴⁻¹ = 3(-5)³= -375

Therefore, the first four terms of the sequence are 3, -15, 75, and -375.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex](x+14)^2+x^2=22^2[/tex]          (Pythagoras Theorem)

[tex](x^2+28x+196)+x^2=484[/tex]

[tex]2x^2+28x+196=484[/tex]

[tex]2x^2+28x-288=0[/tex]

[tex]x^2+14x-144=0[/tex]

Using quadratic formula,

  [tex]x=\frac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]  

  [tex]x=\frac{-14\pm \sqrt{(14^2-4\times1\times(-144)} }{2\times1}[/tex]

[tex]=\frac{-14\pm \sqrt{(196+576} }{2}[/tex]

[tex]=\frac{-14\pm 2\sqrt{193} }{2}[/tex]

[tex]=-7\pm\sqrt{193}[/tex]

[tex]=-7\pm13.89[/tex]

[tex]=6.89 ,-20.89[/tex]      (-20.89 is not useful...cannot have a negative length for

                             radius)                  

Solution: radius is 6.89

The solutions to the equation [tex]15z^2 +6z -8 =4z[/tex] are z = 2/3 or z = -4/5.

To solve the quadratic equation [tex]15z^2 +6z -8 =4z[/tex], we first need to rearrange it into standard form:

[tex]15z^2 + 2z - 8 = 0[/tex]

Now we can apply the quadratic formula:

z = (-b ± √(b² - 4ac)) / 2a

where a = 15, b = 2, and c = -8.

Plugging in these values, we get:

z = (-2 ± √(2² - 4(15)(-8))) / (2(15))

z = (-2 ± √(4 + 480)) / 30

z = (-2 ± √484) / 30

z = (-2 ± 22) / 30

So z equals either (-2 + 22)/30 = 2/3 or (-2 - 22)/30 = -4/5.

Therefore, the solutions to the equation 15z² +6z -8 =4z are z = 2/3 or z = -4/5.

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Answer: 3

Step-by-step explanation:

k = y/x

Plum Island Lighthouse can light up the harbor 974.44 feet away from its base.

The angle of depression refers to the angle at which an observer is looking down from an object to a point of reference below. If the angle of depression is increased, the distance from the object to the point of reference decreases. When there is a 2-degree angle of depression, the following formula is used to determine the distance between the observer and the point of reference (in this case, the harbor):tan θ = opposite/adjacent

where θ is the angle of depression, opposite is the height of the object, and adjacent is the distance between the object and the point of reference. Tan 2 = 34/x where x is the distance between the lighthouse and the harbor.tan 2 = 0.03492The angle of depression must be converted to radians to use a calculator.θ = 2π/360 = 0.03491 radians

Therefore,34/x = 0.03492x = 34/0.03492 = 974.44 feet.

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The probability of getting all tails when flipping a coin three times can be calculated using the multiplication rule of probability. For each flip of the coin, there are two possible outcomes: heads or tails.

Assuming the coin is fair, both outcomes are equally likely, so the probability of getting tails on any one flip is 1/2.

P(all tails) = P(tails on first flip) x P(tails on second flip) x P(tails on third flip)

= (1/2) x (1/2) x (1/2)

= 1/8

Therefore, the probability of getting all tails when flipping a coin three times is 1/8 or 0.125 when expressed as a decimal rounded to four decimal places.

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Gene expression occurs through transcription and then translation. From the given list, select all that pertain to transcription. Transcription is the process of converting DNA into RNA. The following are the items that are included in transcription: Using DNA as a template Using RNA polymerase Creation of mRNA Reading codons The RNA polymerase enzyme is responsible for catalyzing the formation of phosphodiester bonds between nucleotides that have been added to the growing RNA chain.

The RNA polymerase enzyme binds to the promoter region of a gene before unwinding the DNA helix and beginning transcription. In transcription, the DNA template strand is read by RNA polymerase in the 3′-to-5′ direction, but RNA is synthesized in the 5′-to-3′ direction. RNA polymerase reads the DNA template strand in the 3′-to-5′ direction, synthesizes the mRNA transcript in the 5′-to-3′ direction, and produces a new RNA molecule that is complementary to the DNA template strand. Thus, transcription is responsible for creating a single-stranded RNA molecule called messenger RNA (mRNA).Therefore, the correct answer is:

Using RNA polymerase Using DNA as a template Creation of mRNA Reading codons

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Answer:

The lines that go through all 3 sides of the triangle mean the angles are all equal. Since a triangle is 180 degrees, to find a single angle, we must divide by 3.

180 degrees / 3 = 60 degrees

Solve for X

60 = (2x + 10)  

-10 from both sides:

50 = (2x)

x = 25

Solve for Y

60 = (3y + 3)

-3 from both sides:

57 = (3y)

y = 19

Hope that helps

Answer:

Hi There the answer for this one would be 20 and 90

Step-by-step explanation:

It can be stated that a minimum of 90.82% of houses would fall within the price range of $418,500 to $621,500.

The given data are as follows:

Mean price (μ) = $520000

Standard deviation (σ) = $58000

Price range: $418500 to $621500

We are to find the percentage of homes priced between $418500 and $621500.To find the required percentage, we first need to standardize the given range of prices by converting them into z-scores.

The z-score formula is z = (x - μ) / σwhere x is the price, μ is the mean price, and σ is the standard deviation. So, for the lower limit: z₁ = (418500 - 520000) / 58000 = -1.75 And for the upper limit: z₂ = (621500 - 520000) / 58000 = 1.75

Now, we need to find the area under the normal curve between these two z-scores, which represents the percentage of homes priced between $418500 and $621500. To do this, we can use a calculator.

The area between $418500 and $621500 corresponds to the area between z₁ and z₂ on the standard normal distribution curve. The area between z₁ and z₂ is 0.9082 (rounded to 4 decimal places).

Therefore, we can say that at least 90.82% of homes would be priced between $418500 and $621500.

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To ascertain whether there are more faulty microchips across the entire cargo, statistical analysis is required. You can utilise proportional or hypothesis tests.

Based on the presented dot plots, it appears that there are typically more faulty microchips in the samples from Hitech Microchips compared to those from Speedy Microchips. Nevertheless, statistical research would be required to verify whether this tendency is consistent over all 2,000 microchip shipments from each brand.

One method would be to total the defective microchips across all 15 samples and divide by the total number of microchips to determine the percentage of defective microchips in each brand's shipment (2,000).

Instead, a hypothesis test might be performed to see if there is a statistically significant difference in the proportion of faulty microchips between the two brands. This would include comparing sample proportions and taking sample size and variability into consideration.

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The overall height of the framed picture is 89cm in the total.

The mount is 6 cm across the top and sides and 9 cm across the bottom. As a result, the mount's overall height will be:

45 cm = 6 cm (top) + 30 cm (image height) + 9 cm (bottom).

The mount's entire breadth will be:

6 cm (left) + 40 cm (width of the image) + 6 cm (right) = 52 cm

To get the total height of the framed image, multiply the height of the mount by the height of the picture by twice the width of the frame (since the frame goes around all four sides of the picture).

As a result, the overall height of the framed image will be:

45 centimetre plus 40 cm plus 2(2 cm) Equals 89 cm.

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From the given information provided, Odero would have had to sell the suit for 1224 to make a profit of 20%.

If Odero sold a suit for 960 and made a loss of 20%, it means his selling price was only 80% of the cost price. We can use this information to find his cost price:

Cost price = Selling price / (1 - Loss%)

Cost price = 960 / (1 - 0.20)

Cost price = 960 / 0.80

Cost price = 1200

Therefore, Odero's cost price for the suit was 1200.

Now, we need to find the selling price that would give him a profit of 20%. Let's call this selling price S:

Profit% = (Selling price - Cost price) / Cost price × 100

20% = (S - 1200) / 1200 × 100

2 = (S - 1200) / 12

S - 1200 = 24

S = 1224

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Answer:

10

Step-by-step explanation:

7 rounds to 10

9 rounds to 10

19 rounds to 20

so Vicki has 40 birds

9 rounds to 10

12 rounds to 10

29 rounds to 30

so johnny has 50 birds

now subtract 50-40=10

This can be calculated by multiplying the number of tickets sold by their respective prices: 200 x $35 = $7,000 and 50 x $40 = $2,375.

The local theater fundraiser sold 200 pre-event tickets at $35 each and 50 at-the-door tickets at $40 each to generate a total revenue of $9,375. This can be calculated by multiplying the number of tickets sold by their respective prices: 200 x $35 = $7,000 and 50 x $40 = $2,375.

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If at a school of 550 children 80% walk to school, the 110 children come to school by other means.

If 80% of the children walk to school, then the remaining 20% of children must arrive at school by other means (such as being driven by a parent, taking public transportation, etc.).

To find out how many children come to school by other means, we can use the following formula:

Number of children who come to school by other means = Total number of children x Percentage who don't walk to school

In this case, we have:

Number of children who come to school by other means = 550 x 20% = 110

Therefore, 110 children come to school by other means.

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The given question is incomplete, the complete question is:

At a school of 550 children 80% walk to school, how many comes in other way ?

Answer:  The total area for the door is 1.89 and the total area for the windows is 7.2

Step-by-step explanation:

door+ 0.9 x2.1= 1.89 and window= 1.5 x 1.2=1.8 x 4= 7.2