2. How much greater is the percent of senior citizens who attend a play at least once per year than the percent of people in their twenties who do so? Random samples of 100 senior citizens and 100 people in their twenties were surveyed. 86% of senior citizens and 76% of people in their twenties attended a play at least once per year. Perform a significant test using a = 0.01. Assume the normal condition for both populations State Parameters and Hypotheses: Check 3 conditions for both populations: I Type of Test p-value: Conclusion:

Answer:

C

Step-by-step explanation:

Answer:

f(x)=y

so find the value of y in the equation of the line and that is your answer

Answer:

-x²+4x-3+2/(x+2)

or

-x²+4x-3 remainder 2

Step-by-step explanation:

Answer:

It will take them 7.89 days

Answer/Step-by-sep explanation:

1. Given:

∆NMK ≅ ∆TRP

\( \overline{NM} = 20 \)

\( \overline{MK} = 15 \)

\( \overline{KN} = 25 \)

\( \overline{TR} = 3x - 1 \)

a. To complete the congruent statement, thus: ∆MNK ≅ ∆RTP

b. The side that is congruent to \( \overline{TR} \) is \( \overline{NM} \). Thus:

\( \overline{TR} \) ≅ \( \overline{NM} \)

c. Since \( \overline{TR} \) ≅ \( \overline{NM} \), therefore:

\( \overline{TR} = \overline{NM} \)

\( 3x - 1 = 20 \) (substitution)

Add 1 to both sides

\( 3x = 20 + 1 \)

\( 3x = 21 \)

Divide both sides by 3

\( x = \frac{21}{3} \)

\( x = 7 \)

2. a. Slope of LK = \( \frac{rise}{run} = \frac{4}{3} \)

Slope of LM = \( \frac{rise}{run} = -\frac{3}{5} \)

b. ✍️Length of LK is the distance between L(-7, 4) and (-4, 8):

\( Lk = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)

\( Lk = \sqrt{(-4 -(-7))^2 + (8 - 4)^2} \)

\( Lk = \sqrt{(3)^2 + (4)^2} \)

\( Lk = \sqrt{9 + 16} \)

\( Lk = \sqrt{25} \)

\( Lk = 5 \)

✍️Length of LM is the distance between L(-7, 4) and (-2, 1):

\( LM = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)

\( LM = \sqrt{(-2 -(-7))^2 + (1 - 4)^2} \)

\( LM = \sqrt{(5)^2 + (-3)^2} \)

\( LM = \sqrt{25 + 9} \)

\( LM = \sqrt{34} \)

\( LM = 5.8 \) (nearest tenth)

∆KLM is not an isosceles ∆ because it does not has two equal side lengths. This we can see because LK and LM are not equal.

Therefore, Anthony is incorrect. Am isosceles ∆ has two equal sides.

The change in electric potential energy of an alpha particle is:

1.3V/cm

"Information available from the question"

In a region where there is a uniform electric field, the potential, v1, is 1. 3 v at position y1=26 cm.

At position y2=28 cm , the potential, v2, is 3. 9 v.

Now, According to the question:

Calculation of magnitude:

Since  V1 is 1.3 V at position y1=26 cm. At position y2=28 cm, the potential, V2, is 3.9 V

So, We know that

\(E =\frac{V_2-V_1}{Y_2-Y_1}\)

\(E=\frac{3.9-1.3}{28-26}\)

\(E=\frac{2.6}{2}\)

E = 1.3V/cm

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Answer:

\(\huge\boxed{\sf Length = 13, \ \ Width = 7}\)

Step-by-step explanation:

Let the length of rectangle be x and width be y.

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

2x + 2y = 40

2(x + y) = 40

x + y = 40/2

x + y = 20 -----------(2)

2y - 1 + y = 20

2y + y - 1 = 20

3y - 1 = 20

3y = 20 + 1

3y = 21

y = 21/3

x = 2(7) - 1

x = 14 - 1

So,

\(\rule[225]{225}{2}\)

Solution:

First, we need to find out the amount for one kilogram. Since 100 grams = 30 pesos, and 1000 grams = 1 kilogram, we need to multiply it by 10.

30 x 10 = 300

Now we have the amount for 1 kilogram. Now in order to get the amount for 8 kilograms, we need to multiply it by 8.

300 x 8 = 2400 pesos

Answer:

The answer is 2,400 pesos.

Check:

30 x 10 = 300 So 300 pesos for a kilogram

300 x 8 = 2400 So 2400 pesos for 8 kilograms.

Answer:

i cant see the math photo

Answer:

I'm sorry but you didn't provide a Picture or Text, tell me it in the comments and I'll answer! (or edit my answer)

Hope this helps!

Shaloo will take 680 steps to run once around the garden.

To find the number of steps Shaloo will take to run around the square garden, we need to calculate the perimeter of the garden first. The garden is given to be 85 meters long, and since it is a square, all sides are equal. Therefore, the perimeter of the garden is 4 times the length of one side. Since the length of one side is 85 meters, the perimeter of the garden is 4 * 85 = 340 meters.
Now, we need to convert the distance covered in one step by Shaloo from centimeters to meters. Given that she covers 50 cm in one step, we can convert it to meters by dividing by 100. Thus, one step is equal to 50/100 = 0.5 meters.
To find the number of steps, we divide the perimeter of the garden by the distance covered in one step: 340 meters / 0.5 meters = 680 steps.

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Answer:

  1) x > 9

Step-by-step explanation:

You want the solution to the inequality 7 -2/3x < x -8.

Adding 8 to both sides, we get ...

  15 -2/3x < x

Adding 2/3x to both sides gives ...

  15 < 5/3x

Multiplying both sides by 3/5, we have ...

  9 < x

Rearranging to put x on the left gives ...

  x > 9 . . . . . matches choice 1

<95141404393>

Answer:

area=HbB/2

hope you understand

Answer:  1744.47

Step-by-step explanation:

i think this is the answer!!!!

Answer:

t = 5

Step-by-step explanation:

20t + 5 + 15t = 180

35t + 5 = 180

35t = 175

t = 5

Hopefully this helps!

Brainliest please?

To convert the Cartesian equation sqrt(2x) + sqrt(2y) = 14 into a polar equation, we need to express x and y in terms of r and θ.

Let's start by squaring both sides of the equation to eliminate the square roots:

(√(2x))^2 + (√(2y))^2 = (14)^2

2x + 2y = 196

Divide both sides of the equation by 2:

x + y = 98

Now, let's express x and y in terms of polar coordinates:

x = rcos(θ)

y = rsin(θ)

Substituting these expressions into the equation x + y = 98:

rcos(θ) + rsin(θ) = 98

Factor out r:

r(cos(θ) + sin(θ)) = 98

Now, we can write the polar equation in the form rcos(θ - θ₀) = r₀ by identifying the angle θ₀ and the radius r₀:

cos(θ - θ₀) = 98 / r₀

Therefore, the polar equation in the form rcos(θ - θ₀) = r₀ for the line sqrt(2x) + sqrt(2y) = 14 is:

rcos(θ - θ₀) = 98 / r₀

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Answer:

x = -1/7

Step-by-step explanation:

simplify by bringing all the x to the left and all the constants to the right:

6x + x = 1 - 2

7x = -1  (divide by 7)

x = -1/7

x=1/5

Step-by-step explanation:

2+6x= 1-x

=> Transfer the same algebraic terms in one side

2-1 = -x+6x

{things get negavtive sign when they are transfered to another side}

1=5x

x=1/5

Therefore, m/XYC is equal to 82°. Therefore,  m/CDA is 91°. Therefore, m/CDA is 138°.

A trapezoid, also known as a trapezium, is a quadrilateral with at least one pair of parallel sides. The parallel sides are called the bases of the trapezoid, while the non-parallel sides are called the legs.

Here,

To solve these problems, we will use some properties of isosceles trapezoids and their midsegments. Here are the solutions to each problem:

1. Since ABCD is an isosceles trapezoid, we have m/DAB = m/BCA. Also, since XY is the midsegment of ABCD, we have XY || AB and XY = (1/2)(AB + CD). Therefore, m/XYC = m/BCA = m/DAB = 82°.

2. Since ABCD is an isosceles trapezoid, we have m/DCB = m/ABC. Also, since XY is the midsegment of ABCD, we have XY || AB and XY = (1/2)(AB + CD). Therefore, AB = 2XY - CD. Using this fact and the fact that ABCD is isosceles, we can set up an equation: m/DCB + m/CDA + m/DAB + m/ABC = 360°. Substituting m/ABC = m/DCB, we get 2m/DCB + m/CDA + m/DAB = 255°. Now, using the fact that m/DAB = 82°, we can solve for m/DCB: 2(82°) + m/CDA + 82° = 255°, which gives m/CDA = 91°.

3. Since ABCD is an isosceles trapezoid, we have m/BAD = m/CDA. Also, since XY is the midsegment of ABCD, we have XY || AB and XY = (1/2)(AB + CD). Therefore, AB = 2XY - CD. Using this fact and the fact that ABCD is isosceles, we can set up an equation: m/BAD + m/CDA + m/DAB + m/ABC = 360°. Substituting m/BAD = m/CDA, we get 2m/BAD + m/DAB + m/ABC = 180°. Now, using the fact that m/BAD = 159°, we can solve for m/CDA: 2(159°) + m/DAB + m/ABC = 180°, which gives m/CDA = 138°.

4. Since ABCD is an isosceles trapezoid, we have m/ABC = m/CDA. Also, since XY is the midsegment of ABCD, we have XY || AB and XY = (1/2)(AB + CD). Therefore, AB = 2XY - CD. Using this fact and the fact that ABCD is isosceles, we can set up an equation: m/BAD + m/CDA + m/DAB + m/ABC = 360°. Substituting m/ABC = m/CDA, we get m/BAD + 2m/ABC + m/DAB = 250°. Now, using the fact that m/ABC = 110°, we can solve for m/DAB: m/BAD + 2(110°) + m/DAB = 250°, which gives m/DAB = 30°.

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Answer: X = 4

(4x-1) = (2x+7)

X = 4

The difference quotient for the given function is 9 -2/h.

The difference quotient for the given function can be calculated as:

[f(x+h) - f(x)]/h

= [(3(x+h)² - 2(x+h) + 5) - (3x² - 2x + 5)]/h

= (3x² + 6xh + 3h² - 2x - 2h + 5 - 3x² + 2x - 5)/h

= (6xh + 3h² - 2h)/h

= (6x + 3h -2)/h

Simplifying the expression further, we get:

(6x + 3h -2)/h = 6 + 3h/h -2/h

= 6 + 3 -2/h

= 9-2/h

Therefore, the difference quotient for the given function is 9 -2/h.

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"Your question is incomplete, probably the complete question/missing part is:"

Find the difference quotient [f(x+h)-f(x)]/h, where h≠0, for the function below.

f(x)=3x² -2x+5. Simplify your answer as much as possible.

We can determine coordinates if point t is between points u and v by checking if u < t < v or v < t < u.

To determine if point t is between points u and v, we need to compare their coordinates. If u < v, then point t is between points u and v if and only if u < t < v. On the other hand, if v < u, then point t is between points u and v if and only if v < t < u.

Whether or not point t is between points u and v depends on the relationship between the coordinates of u and v. If u < v, t must fall between them, and if v < u, t must also fall between them.

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Answer:

C=2πr

r=D/2=10/2=5

C=2×3.14×5

C=31.4in

Answer: g = w² - 14w + 49

\(w=7-\sqrt{g}\\\\=> \sqrt{g} =7-w \\\\<=>g=(7-w)^{2}=49-14w+w^{2}\)

Step-by-step explanation:

The statement "The height of the probability density function f(x) of the uniform distribution defined on the interval [a, b] is 1/(a-b)" is False.

In a uniform distribution, the probability density function (PDF) is constant within the interval [a, b]. The height of the PDF represents the density of the probability distribution at any given point within the interval. Since the PDF is constant, the height remains the same throughout the interval.

To determine the height of the PDF, we need to consider the interval length. In a uniform distribution defined on the interval [a, b], the height of the PDF is 1/(b - a) for the PDF to integrate to 1 over the entire interval. This means that the total area under the PDF curve is equal to 1, representing the total probability within the interval [a, b].

Therefore, the correct statement is that the height of the probability density function f(x) of the uniform distribution defined on the interval [a, b] is not 1/(a - b), but rather it is a constant value necessary for the PDF to integrate to 1 over the interval, i.e., 1/(b - a).

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Answer:

i have no idea what the answer is

Step-by-step explanation:

A voluntary export restraint will decrease producer surplus, increase consumer surplus, have uncertain effects on government revenue, and the overall impact on domestic national welfare is ambiguous.

A voluntary export restraint is a trade policy measure voluntarily imposed by an exporting country to limit its exports to another country. In such a scenario, the restriction on exports reduces the quantity of goods available in the importing country, leading to a decrease in producer surplus as producers receive lower prices and sell fewer units of the product.

On the other hand, consumers benefit from lower prices and increased availability of the restricted goods, resulting in an increase in consumer surplus. The impact on government revenue is uncertain, as it depends on various factors such as the level of imports and any associated fees or tariffs. The overall effect on domestic national welfare is ambiguous since it involves trade-offs between different stakeholders and their respective gains or losses.

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This declaration is True.

The anticipated variability or widespread deviation of the means from MANY unique random samples is known Sampling distribution.

The standard deviation of this distribution, i.e. the standard deviation of sample means, is called the standard error. The standard error tells you how accurate the mean of any given sample from that population is likely to be compared to the true population mean.

What is the suggest variance and fashionable deviation of the sampling distribution of the pattern mean?

Since the suggest is 1/N times the sum, the variance of the sampling distribution of the suggest would be 1/N2 instances the variance of the sum, which equals σ2/N. The widespread error of the suggest is the standard deviation of the sampling distribution of the mean.

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The given question is incomplete, complete question is:

The expected variability or standard deviation of the means from MANY different random samples is known as what quantity: a. Sampling variability b. Standard error (panel 51 from slides), itâs also said in the video c. Sampling distribution d. Parameter

The balance on the credit card on the 30 th day of the billing cycle is A.$3, 267.24

We can use the formula for daily compounded interest :

\(A = P * (1 + (r/n))^ {(nt)}\)

The APR (Annual Percentage Rate) is the annual interest rate, and it's given as 25.31%, or 0.2531 in decimal form. Since the interest is compounded daily, n is 365 (the number of days in a year).

The balance on the credit card is therefore :

\(A = 3200 * (1 + (0.2531/365))^{( (30))}\\A = 3200 * 1.0006935616^{10.9589041}\\\)

A = 3200 x 1. 0076

A = $3, 267.24

So, the balance on the 30th day of the billing cycle would be approximately $3, 267.24.

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The number of times the two cubes to land on the same number is 100 times

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

Rolling of two number cubes

In the rolling of two number cubes, the probability of landing on the same number is

P(Same) = 6/36

When simplified, we have

P(Same) = 1/6

In 600 rolls, the expected value is

Expected = 1/6 * 600

Evaluate

Expected = 100

Hence, the number of times the two cubes to land on the same number is 100

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