Construct a confidence interval for p₁-P2 at the given level of confidence. x₁ =354. n₁ =545, x2 #406, n₂ = 596, 95% confidence The researchers are % confident the difference between the two population proportions. P₁ P2, is between and (Use ascending order. Type an integer or decimal rounded to three decimal places as needed).

The domain of the function is (0,∞) , {x|x>0}

and the range of the function is (−∞,∞),  {y|y ∈ R}

given the function is y = 3 log x

Set the argument in  log x greater than 0 to find where the expression is defined.

x > 0

The domain is all values of x that make the expression defined.

Interval Notation:

(0,∞)

Set-Builder Notation:

{x|x>0}

The range is the set of all valid y values. Use the graph to find the range.

Interval Notation:

(−∞,∞)

Set-Builder Notation:

{y|y∈R}

Determine the domain and range.

Domain: (0,∞) , {x|x>0}

Range :  (−∞,∞),  {y|y ∈ R}

Hence we get the required domain and range of the given function.

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Answer:

z= 115 (vertically opposite angles)

x= 65 (straight angle) 180-115=65

y=65 (vertically opposite angle)

Step-by-step explanation:

Answer:

z = 115

x = 65

y = 65

Step-by-step explanation:

z = 115 (vertically opposite angles)

to find the values of x and y

x = y (vertically opposite angles

115 + x = 180 (linear pair)

x = 180 - 115

x = 65

y = 65

Answer:

I think its d

Step-by-step explanation:

bc it's the only one who has the = sign on both ends I'm not really sure tho I might of learned it a different way hope this helps

Answer:

8x - 2y = -14

16x - 6y = -18

Step-by-step explanation:

I haven't done this in a long time, but I believe my answer is correct.

Hope this helps!

Answer:

the area of triangle formula is A = B*H  / 2

so it means 16 square = (x+4) x /2

so x²+4x -32=0, D' = 2²- (-32)= 36, sqrt of D' = 6

so x = -2 -6 = -8 or x= -2 +6 = 4

x must be positive so x = 4

Step-by-step explanation:

Answer/Step-by-step explanation:

Recall: \( x^{-a} = \frac{1}{x^a} \)

a. \( 4^{-3} = \frac{1}{4^3} = \frac{1}{64} \)

b. \( 13^{-2} = \frac{1}{13^2} = \frac{1}{169} \)

c. \( (-3)^{-2} = \frac{1}{-3^2} = \frac{1}{9} \)

Answer:

no ):(

Step-by-step explanation:

Answer:

1. r ≈ 6.5in

2. 132

Step-by-step explanation:

1. A=πr2

Solving for r

r=A

π=132.7

π≈6.49921 in

2. = 120°/ 360° x 22/7 x 6²

= 1/3 x 22/7 x 6 x 6

= 22 x 6 x 6 / 7 x 3

= 22 x 6

= 462

Answer:

12

Step-by-step explanation:

We just need to divide the number of laps to the number of swimmers to find the unit rate.

240 / 20 = 12

216 / 18 = 12

168 / 14 = 12

108 / 9 = 12

Best of Luck!

Answer: 12

Step-by-step explanation:

Sorry I don't like to show my work.

Answer:

2.93cm

Step-by-step explanation:

I have to admit, this stumped me but I got o work and here's what I have for you. Hope this helps. TIP: remember it is the minute hand not any other hand.

For this one you will have to find the circumference of the clock because as the min hand goes round and round, it will act as a radius and it will go in a circular motion.  

Formula will be π2r= 3.l4 * 2 * 1.4cm=8.792cm per every one revolution of the minute hand. Remembering that for the minute hand to revolve round the clock it has to cover 1 hr = 60min. For you to get the total circumference,

you'll have to take 8.792cm but since it is  per every one revolution of the minute hand, multiply it by 40/60min. The answer will be 2.93066cm before rounding off. After rounding off you will have 2.93cm. Quite lengthy but I assure you after practicing you'll have at your fingertips.  

The area of the shaded face of the cylinder is 1,520 mm².

We can see that the shaded area of the cylinder is circular in shape.

This means that we can find the area of the shaded area by finding the area of the circle.

The radius of the circle is given as 22 mm.

The formula for finding the area of a circle is given as:

Area = πr²

= 3.14 × 22 × 22

= 1,519.76

≈ 1520 mm²

Therefore, we have found the area of the shaded face of the cylinder to be 1,520 mm².

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Disclaimer: The question was incomplete, the complete question is attached below.

Answer:

the aanswer is 1

Step-by-step explanation:

Answer:

\(216cm^3\)

Step-by-step explanation:

Surface area of a cube is \(6 * s^2\)

\(6 * (s)^2 = 216cm^2\\s^2 = 36cm^2\\s = 6cm\)

Now we have a value of the side we can get the volume.

Volume = \(s^3\\\)

\(= (6cm) ^ 3\)

\(= 216cm^3\)

Hope this helps!

Brainliest and a like is much appreciated!

Answer:      10/3

Step-by-step explanation:

multiply the denominator, "3", by the mixed number "3", then add the numerator "1". So 3*3+1=10/3 (the denominator stays the same)

Answer: \(\frac{10}3}\)

Answer:

\(-n^3+7n+3\)

Step-by-step explanation:

\((f-g)(n)=f(n)-g(n) \\ \\ =4n+3-n^3+3n \\ \\ =-n^3+7n+3\)

Answer:

1.  Translation of 4 units right.

2.  Vertical stretch by a factor of 2:

3.  Reflection in the x-axis:

4.  Translation of 1 unit up.

Step-by-step explanation:

Transformations

\(\textsf{For $a > 0$}:\)

\(f(x-a) \implies f(x) \: \textsf{translated $a$ units right}.\)

\(a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of $a$}.\)

\(-f(x) \implies f(x) \: \textsf{reflected in the $x$-axis}.\)

\(f(x)+a \implies f(x) \: \textsf{translated $a$ units up}.\)

Given function:

\(g(x)=-2(x-4)^2+1\)

The parent function of the given function is:

\(f(x)=x^2\)

When determining the sequence of transformations when the function contains more than one transformation, follow the order of operations (PEMDAS).

1.  Translation of 4 units right.

\(f(x-4) \implies g(x)=(x-4)^2\)

2.  Vertical stretch by a factor of 2:

\(2f(x-4)\implies g(x)=2(x-4)^2\)

3.  Reflection in the x-axis:

\(-2f(x-4)\implies g(x)=-2(x-4)^2\)

4.  Translation of 1 unit up.

\(-2f(x-4)+1\implies g(x)=-2(x-4)^2+1\)

Answer:

15

Brainliest, please!

Step-by-step explanation:

r = kp/(st)

p = 12, t = 2, s = 5, r = 18

18 = k(12)/(2)(5)

18 = 12k/10

12k = 180

k = 15

The future value of depositing $1,000 every year for 20 years, with payments made at the beginning of each period, at an interest rate of 7% compounded yearly, is approximately $43,865.18.

To calculate the future value of a series of deposits, we can use the formula for the future value of an ordinary annuity:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value

P is the periodic payment

r is the interest rate per period

n is the number of periods

In this case, the periodic payment is $1,000, the interest rate is 7% (or 0.07), and the number of periods is 20.

Plugging these values into the formula, we get:

FV = 1000 * [(1 + 0.07)^20 - 1] / 0.07

  = 1000 * [1.07^20 - 1] / 0.07

  ≈ 1000 * [2.6532976 - 1] / 0.07

  ≈ 1000 * 1.6532976 / 0.07

  ≈ 43,865.18

Therefore, the future value of this series after 20 years would be approximately $43,865.18.

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Answer:

c 7/25

Step-by-step explanation:

edge 2021

The best approximation for the area of the circle which has the 6 cm long radius is 113 ft². Option 4 is correct.  

The area of the circle is the space occupied by that circle in 2 dimensional plane or space. It can be given as,

\(A=\pi r^2\)

Here, (r) is the radius of the circle.

The image of the circle is attached below. In the given figure the center of the circle is O and the radius of the circle is 6 cm.

Thus the area of this circle can be find out using the above formula as,

\(A=\pi (6)^2\\A=3.14\times6^2\\A=113.04\\A\approx113\rm ft^2\)

Thus, the best approximation for the area of the circle which has the 6 cm long radius is 113 ft². Option 4 is correct.  

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Answer:

The place value of 5 in 4.053 is Hundredth

The place value of 5 in the given number 4.053 is, hundredths

In mathematics, we have assigned a name for each digit in a number, which are known as place values. Place values are Ones, Tens, Hundreds, Thousands.

Given number,

⇒  4.053

we can write it as,

⇒   4 ≡ at ones

⇒   0 ≡ at tenths

⇒   5 ≡ at hundredths

⇒   3 ≡ at  thousandths

So, the place value of 5 is hundredths

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The lines which are parallel are none.

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

where (x₁, y₁) and (x₂, y₂) are the two points that you are trying to find the slope between.

Given;

Coordinates of three lines

a;(1,5) and (-2,-4)

b;(3,2) and (1,-4)

c;(6,1) and (-4,2)

Now, slopes of the lines

a= -4-5/-2-1

=10/3

b=-4-2/1-3

=-3

c=2-1/-4-6

=1/-10

Therefore, by slopes of the line none of them are parallel.

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Answer:

Step-by-step explanation:

We can use the Pythagorean Theorem to find the height of the cylinder

We have

height  = √ [ 5^2 - 2^2 ]  = √[25 - 4]   =  √21  units

Based on the amount of paper that Pedro was able to recycle over 5 weeks, the kilograms of paper that Pedro's office would have recycled after 6 weeks is 18 kilograms

The relationship is assumed to be directly proportional. The first thing is do therefore is to find the kilograms of paper recycled per week.

The papers recycled per week in Pedro's office is:

= Kilograms of paper / Number of weeks

= 15 / 5

= 3 kilograms per week

In 6 weeks therefore, the amount of paper that would be recycled is:

= Number of weeks x Kilograms recycled per week

= 6 weeks x 3 kilograms per week

= 18 kilograms

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Answer:

y = - 2x - 300

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x + 3 ← is in slope- intercept form

with slope m = - 2

Parallel lines have equal slopes, then

y = - 2x + c ← is the partial equation

To find c substitute (- 100, - 100 ) into the partial equation

- 100 = 200 + c ⇒ c = - 100 - 200 = - 300

y = - 2x - 300 ← equation of parallel line

When the rectangle is transformed according to the rule r0 90 T/F, it first undergoes a reflection about the y-axis, followed by a rotation of 90 degrees counterclockwise about the origin, and finally a translation of a certain distance in either the x or y direction depending on whether the final image is a reflection or not.

The final image obtained will be a rectangle as well, but with different dimensions and position depending on the translation distance.Let's assume that the rectangle has width w and height h. When reflected about the y-axis, its width changes sign but its height remains the same, resulting in a new width of -w and height of h.

After that, the rectangle is rotated 90 degrees counterclockwise about the origin, which swaps its width and height but preserves their signs, resulting in a new width of -h and height of -w.

Finally, a translation of distance d is applied to either the x or y coordinate depending on whether the final image is a reflection or not. If the final image is a reflection, then the translation is applied in the y direction by a distance of d, resulting in a new position of (-h, d).

Otherwise, the translation is applied in the x direction by a distance of d, resulting in a new position of (d, -w).In summary, the rectangle is transformed according to the rule r0 90 T/F by undergoing a reflection, rotation, and translation, resulting in a new rectangle with dimensions and position depending on the original dimensions and the translation distance.

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A rectangle can be transformed according to the rule r0 90 T/F, which can have different results, depending on how the transformation is done.

The rule can be interpreted as follows:r0: No rotation90: Rotate the rectangle 90 degreesT/F: Flip the rectangle horizontally (T) or vertically (F)For example, if a rectangle with a width of 4 units and a height of 2 units is subjected to this transformation rule, the result will vary depending on the order of transformations.

Consider the following cases : Case 1: r0 90 F T (rotate by 0 degrees, then rotate by 90 degrees, then flip vertically, then flip horizontally) In this case, the rectangle is first rotated by 0 degrees, which means that its position and size are unchanged. Next, it is rotated by 90 degrees, which means that its width becomes its height and vice versa. After that, it is flipped vertically, which means that its top and bottom edges are swapped.

Finally, it is flipped horizontally, which means that its left and right edges are swapped. The resulting rectangle has a width of 2 units and a height of 4 units. It is also reflected across the line y = 0 (the x-axis).Case 2: F T r0 90 (flip vertically, then flip horizontally, then rotate by 0 degrees, then rotate by 90 degrees) In this case, the rectangle is first flipped vertically, which means that its top and bottom edges are swapped. Next, it is flipped horizontally, which means that its left and right edges are swapped.

After that, it is rotated by 0 degrees, which means that its position and size are unchanged. Finally, it is rotated by 90 degrees, which means that its width becomes its height and vice versa. The resulting rectangle has a width of 2 units and a height of 4 units.

It is also reflected across the line y = -x (the line that goes through the origin with a slope of -1).In conclusion, a rectangle can be transformed in various ways, and the order of transformations matters. The rule r0 90 T/F can produce different results depending on the sequence of operations.

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The numerator of the z-score test statistic measures the difference between the sample mean and the population mean (or the hypothesized population mean, depending on the context) in terms of the standard error of the mean.

It can use z- test only if the population standard deviation is known (or given) and the sample is large (more than 30 units)

If the mean and standard deviation is known, then the z-score is calculated using the formula.

z = (x - μ) / σ

where x is data;

μ is the mean and σ is the standard deviation.

Thus, the actual distance between a sample mean x and a population mean µ is measured by the numerator of z- score test statistic.

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Answer:

$129.80

Step-by-step explanation:

Discount:   .20 * 649 = 129.80

Answer:

.045% or about half of one percent

Step-by-step explanation:

P(queen) = 4/52

P(3 queens) = (4/52)³ = 64/140608 = .045%