Dr. Suarez, a veterinarian, wants to estimate the average number of
calories a chihuahua typically eats in a day. She'll take a sample of n
chihuahuas and create a 99% confidence interval for the mean daily caloric
intake. She wants the margin of error to be no more than 8 calories. A pilot
study suggests that the daily caloric intake of chihuahuas has a standard
deviation of 30 calories.
Which of these is the smallest approximate sample size required to obtain
the desired margin of error?
Choose 1 answer:

The dimensions of the circles are as follows

1. Chord AB = 9

2. Chord FG = 6

3. Chord KM = 8

4. Arc length XY = 105 degrees

5. Arc length TU = 85 degrees

6. Arc length TU = 130 degrees

7. QS is the diameter because it bisects the chord and perpendicular to the chord

8. QS is not a diameter because it does not bisect the chord

9. QS is not a diameter because it is not perpendicular the chord

Chords with matching measurements share congruence due to being equidistant from the circle's center.

Congruent radii stem from each chord midpoint, indicating two equivalent right triangles are created; therefore, their respective intercepted arcs also equal in degree measurement.

Therefore, if two chords possess uniform lengths, they will intercept equal degrees along the circle.

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The values of x, y and z in the given simultaneous equation is:

x = 4

y = 6

z = -3

The 3 simultaneous equations are given as:

x + 7y - z = 49

2x - 5y + 2z = -28

x - 6y=-32

Rearranging the first equation  gives:

x = 49 - 7y + z

2x - 5y + 2z = -28

x - 6y = -32

Substitute 49 - 7y + z into equations 2 and 3 to get:

2(49 - 7y + z) - 5y + 2z = -28

49 - 7y + z - 6y = -32

Convert the equation in terms of u and solving simultaneously gives:

y = 6 and z = -3

Thus:

x = 49 - 7(6) + (-3)

x = 4

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Answer:

[tex]\huge\boxed{\sf x = 9}[/tex]

Step-by-step explanation:

3(x + 4) - 11 = 28

3(x + 4) = 28 + 11

3(x + 4) = 39

3x + 12 = 39

3x = 39 - 12

3x = 27

x = 27/3

[tex]\rule[225]{225}{2}[/tex]

The value of the x in the circle is 17.

Given is circle T, we need to find the value of x,

m arc QS = 2 m ∠R

m arc QS = 2 × 67°

m arc QS = 134°
Now,

arc QS + arc RS + arc QR = 360°

134° + 5x + 21 + 120 = 360°

5x = 85

x = 17

Hence, the value of the x in the circle is 17.

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The volume of the composite figure is calculated as:

= 1,894.2 cm³

The volume of the composite figure can be calculated using:

Volume = volume of rectangular prism + 1/2(volume of cylinder)

Volume of rectangular prism = length * width * height

length = 15 cm

width =  2(6) = 12 cm

height = 10 cm

Volume of rectangular prism = 15 * 12 * 10 = 1,800 cm³

Volume of half Cylinder = 1/2(πr²h)

r = 6 cm

h = 10 cm

π = 3.14

Volume of half Cylinder = 1/2(πr²h) = 1/2 * 3.14 * 6 * 10 = 94.20 cm³

Volume of the composite figure = 1,800 + 94.20 = 1,894.2 cm³

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Answer:

this is hard

Step-by-step explanation:

is it trigonometry?

0.00205 can be written in scientific notation as 2.05 x 10^-3.

Answer:

The answer is 2.05×10‐³

Step-by-step explanation:

0.00205 to scientifi notation or standard form

=2.05×10‐³

Answer:

C

Step-by-step explanation:

y = k * z , where k is any constant

x=4, z=9 , y=360

360 = k (4)(9)

360 = 36 k

k = 360/36

k = 10

y = 10 * z

when x=5 and z = 12

y = 10 (5)(12)

y = 600

Answer:

1 whole and 2/4

Step-by-step explanation:

2/4+2/4=1

1+2/4=1 whole and 2/4

Answer:

its d

Step-by-step explanation:

The total number of people in attendance was 400 people in total.

Let:

x be the no of grandparents

y be the no of parents

z be the no of children

Since there are 400 people total, so we can write the equation:

x + y + z = 400

We also know that there were twice as many parents as grandparents, so we can write the equation:

y = 2x

We know that there were 50 more children than parents, so we can write the equation:

z = y + 50

Now we have a system of three equations with three variables:

x + y + z = 400

y = 2x

z = y + 50

We can solve this system using substitution method

First, we can use the second equation to express y in terms of x:

y = 2x

Next, we can use the third equation to express z in terms of x:

z = y + 50

z = 2x + 50

Now we can substitute these expressions for y and z into the first equation:

x + y + z = 400

x + (2x) + (2x + 50) = 400

5x + 50 = 400

5x = 350

x = 70

So there were 70 grandparents in attendance.

Using the second equation, we can find the number of parents:

y = 2x

y = 2(70)

y = 140

So there were 140 parents in attendance.

Using the third equation, we can find the number of children:

z = y + 50

z = 140 + 50

z = 190

So there were 190 children in attendance.

Therefore, the total number of people in attendance was:

70 grandparents + 140 parents + 190 children = 400 people in total.

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The perimeter of a square is 56 M the area of rectangle is 8 square metre less than the area of the given figure square if the length of the rectangle is 16 m then breadth is 11.75 m

The perimeter of square = ( 4 ) ( side )

( 4 ) ( side ) = 56

side = 56 ÷ 4

side = 14 m

The area of the of the rectangle is 8m² less than the area of the square

Area of the square = ( side )²

Area = ( 14 )²

Area = 196 m²

Now, the area of the rectangle = ( length ) × ( breadth )

Area = 196 - 8

Area= 188 m²

( length ) × ( breadth ) = 188 m²

Length = 16

( 16 ) × ( breadth ) = 188

Breadth = 188 ÷ 16

=11.75 m

Hence, the perimeter of a square is 56 M the area of rectangle is 8 square metre less than the area of the given figure square if the length of the rectangle is 16 m then breadth is 11.75 m

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the perimeter of a square is 56 M the area of rectangle is 8 square metre less than the area of the given figure square if the length of the rectangle is 16 m find its breadth

The measures of the three angles are 30°, 86° and 64°.

Given that, in a triangle the sum of the measures of the second and third angles is five times the measure of the first angle.

The third angle is 22 more than the second.

If x, y, and z represent the measures of the first, second, and third angles, respectively, we need to find the measure of the angles.

So,

y + z = 5x...........(i)

z - y = 22...........(ii)

x + y + z = 180...........(iii)

Use eq(i) in eq(ii)

x + 5x = 180

6x = 180

x = 30°

Put x = 30 in eq(iii)

z + y = 150.......(iv)

add eq(ii) and eq(iv)

2z = 172

z = 86°

Put the values of z and x in eq(iii)

30° + 86° + y = 180°

y = 64°

Hence, the measures of the three angles are 30°, 86° and 64°.

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The maximum amount that you should finance is $26701 (rounded to the nearest dollar).

We can use the formula for monthly payments on a loan:

PMT = (PV x r x (1 + r)ⁿ) / ((1 + r)ⁿ - 1)

where PMT is the monthly payment, PV is the principal amount (the amount financed), r is the monthly interest rate, and n is the total number of months.

We can rearrange this formula to solve for PV:

PMT = (PV x r x (1 + r)ⁿ) / ((1 + r)ⁿ - 1)

Substituting the given values:

PMT = $499

r = 4.6% / 12 = 0.0038333 (monthly interest rate)

n = 5 x 12 = 60 (total number of months)

We get:

PV = $499 x ((1 + 0.0038333)⁶⁰- 1) / (0.0038333 x (1 + 0.0038333)⁶⁰)

PV = $26700.902

So the maximum amount that you should finance is $26701 (rounded to the nearest dollar).

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As our determined t-score (2.77) is larger than the critical t-value (2.262), we disregard the null hypothesis in favor of the alternative one

Given data:

The 1980 mean weight (μ) was 180.4 pounds, while the 2023 sample mean weight (x) was 197.9 pounds;

additionally, the sample size (n) was 10 and the sample standard deviation (σ) was 20 pounds.

At a significance level of 0.05, we calculate the t-score by first dividing (x-μ)/(σ/sqrt(n)).

This gives us the value 17.5/6.32 or 2.77 for the t-score.

Afterward, it is necessary to find the critical t-value with a two-tailed test at a significance level α=0.05 in respect to having 9 degrees of freedom (df = n – 1 = 10 – 1 = 9).

This can be located through either a t-distribution table or an online calculator; the result displays the calculated critical t-value being approximately ±2.262.

As our determined t-score (2.77) is larger than the critical t-value (2.262), we disregard the null hypothesis in favor of the alternative one, signifying there is a glaringly significant disparity between the average mass of grown male adults from 1980 and 2023 which upholds the researcher's statement that since 1980, males in the U.S. have gotten heavier.

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The linear equations of the lines are y = 1/3x and y = 4x + 17, respectively

The parallel line

The equation is given a

x - 3y = 9

So, we have

3y = x - 9

y = x/3 - 3

Slope = 1/3

The slopes of parallel lines are equal

So, the slope of the required line is 1/3

The equation is then calculated as

y = mx + c

So, we have

y = 1/3x + c

Using the points, we have

2 = 1/3 * 6 + c

c = 0

So, we have

y = 1/3x

The perpendicular line

The equation is given a

y + 1/4x - 5 = 0

So, we have

y = -1/4x + 5

Slope = -1/4

The slopes of parallel lines are opposite reciprocals

So, the slope of the required line is 4

The equation is then calculated as

y = mx + c

So, we have

y = 4x + c

Using the points, we have

5 = 4(-3) + c

c = 17

So, we have

y = 4x + 17

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Answer: It's 30.

Step-by-step explanation: The dot at 200 on "Amount Spent" is also right between 20 and 40. Which is 30, your answer.

The surface area of a rectangular prism of dimensions 4yd, 15 yd and 8 yd is given as follows:

S = 424 yd².

The surface area of a rectangular prism of height h, width w and length l is given by:

S = 2(hw + lw + lh).

This means that the area of each rectangular face of the prism is calculated, and then the surface area is given by the sum of all these areas.

The dimensions for this problem are given as follows:

4 yd, 15 yd and 8 yd.

Hence the surface area of the prism is given as follows:

S = 2 x (4 x 15 + 4 x 8 + 15 x 8)

S = 424 yd².

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the volume of a cylinder is 2009. 6 cubic feet

The formula for calculating the volume of a cylinder is expressed as;

V = πr²h

Given that the parameters in the equation are;

From the information given, we have that;

Diameter = 2 radius

Substitute the values

Radius = 8ft

Then,

Volume = 3.14 × (8)² × 10

Find the square

Volume = 3.14 × 64 × 10

Multiply the values

Volume = 2009. 6 ft³

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Answer:

11.72 hours

Step-by-step explanation:

In a continuous exponential growth model, the formula for the size of the population at time t is given by:

N(t) = N₀ * e^(rt)

where N₀ is the initial population size, r is the growth rate parameter, and e is the mathematical constant approximately equal to 2.71828.

To find the time it takes for the population size to double, we can set N(t) equal to 2N₀ and solve for t:

2N₀ = N₀ * e^(rt)

Dividing both sides by N₀:

2 = e^(rt)

Taking the natural logarithm of both sides:

ln(2) = rt * ln(e)

Since ln(e) = 1:

ln(2) = rt

Solving for t:

t = ln(2)/r

Substituting the given growth rate parameter of 5.9% per hour:

t = ln(2)/(0.059) ≈ 11.72 hours

Therefore, it takes approximately 11.72 hours for the size of the population to double.

The percentage of people taking the test who score above 654 is 15.87%

From the question, we have the following parameters that can be used in our computation:

Mean = 550

Standard deviation = 104

Score = above 654

The z-score is calculated as

z = (Score - Mean)/Standard deviation

Substitute the known values in the above equation, so, we have the following representation

z = (654 - 550)/104

Evaluate

z = 1

The percentage of people taking the test is then calculated as

P = p(z > 1)

So, we have

P = 0.15866

Express as percentage

P = 15.87%

Hence, the percentage is 15.87%

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The graph of the linear and quadratic equation is attached below

A linear and quadratic system can be represented by a line and a parabola in the xy-plane. Each intersection of the line and the parabola represents a solution to the system.

A line and a parabola can intersect zero, one, or two times, which means a linear and quadratic system can have zero, one, or two solutions.

If a graph of the system is not provided, then the ability to quickly draw graphs based on equations is essential.

However, in this problem, we have the equation given and we can easily draw the graph using a graphing calculator.

The solution to the problem is attached below;

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The length of DF in the triangle DEF is 10.8 units

The given triangle is DEF

We have to find the length of side DF

We know that the tan function is a ratio of opposite side and adjacent side

tan 42 = DF/12

0.9 =DF/12

DF=12×0.9

DF=10.8

Hence, the length of DF in the triangle DEF is 10.8 units

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Answer:

P((1 + r)^6) = 1,675.80

P((1 + r)^5) = 1,606.50

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

b) 1 + r = 266/255, so r = 11/255 = .04 = 4%

a) P((1 + 11/255)^5) = 1,606.50

P = $1,300.69

Answer: Maya’s mix will be more lemony.

Step-by-step explanation:

          We see that both Jonathan and Maya mix 7 teaspoons of the powdered lemon mix. Since we are finding whose mix will be more lemony, we need to find the person who added less water since their mixture will be less diluted.

          This leads us to Maya, she only added 1 cup of water while Jonathan added 2 cups of water. Maya's mixture will have a higher concentration since she has a higher ratio of lemon to water than Jonathan.

Garnier's Opera House is a revival of the Gothic style.

The Palais Garnier usually referred to as the Garnier Opera House is a renowned opera house in Paris, France. Charles Garnier, a French architect, created the design which was finished in 1875.

The opera house is well-known for its spectacular Beaux-Arts and Gothic-inspired architecture as well as for its extensive history and connections to some of the most well-known composers and performers of the 19th and 20th centuries.

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Answer:

Answer: Test One

Parent 1: FF

Parent 2: FF

Phenotype ratio:

short fur: long fur

Test Two

Parent 1: Ff

Parent 2: FF

Phenotype ratio:

short fur: long fur

Test Three

Parent l: ff

Parent 2: ff

Phenotype ratio:

short fur: long fur

Step-by-step explanation:

Answer: Test One

Parent 1: FF

Parent 2: FF

Phenotype ratio:

short fur: long fur

Test Two

Parent 1: Ff

Parent 2: FF

Phenotype ratio:

short fur: long fur

Test Three

Parent l: ff

Parent 2: ff

Phenotype ratio:

short fur: long fur

Answer:

The smaller the coefficient (the number in front of the x), the wider the parabola

Step-by-step explanation:

The domain of the function in this problem is given as follows:

all real numbers.

The domain of a function is the set of all the possible input values that can be assumed by the function.

On the graph, the domain of the function is given by the values of x of the function.

A quadratic function has no restrictions on the domain, hence it is defined by all the real values.

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