In the us, 21% of households use a clothesline to dry their laundry. capucine would like to survey households that use a clothesline, so she plans to contact randomly selected us households until she finds ones that use one. let f be the number of households capucine contacts to reach the first household that uses a clothesline. find the mean and standard deviation of f. find the mean and standard deviation of f

answer: mean: 4.84
standard deviation: 4.24

Answer:

X=45

Step-by-step explanation:

90 - 45 = 45

Answer:

Length = 25cm

Width = 12.5 cm

Perimeter = 75cm

Step-by-step explanation:

Given that:

Actual measurement of rectangular swimming pool:

Length = 60 m

Width = 30 m

Scale = 5cm : 12 m

dimension of scale drawing

Length = 5/12 * 60 = 25cm

Width = 5/12 * 30 = 12.5cm

Perimeter of Scale drawing :

2(length + Width)

2(25cm + 12.5cm)

2(37.5cm)

= 75cm

2. A=49 Pi, C=14 Pi   3. A=225 pi, C=30 pi

4. A=104.04, C=20.4 pi  5. A=20.25 pi, C=9 Pi

Answer:

Step-by-step explanation:

Answer:

for what

Step-by-step explanation:

helo?

Answer:

x = $11

Step-by-step explanation:

5x = $55

9x = $99

2x = $22

In order to find the relationship between x and y, all we have to do is divide y by the term.

                                                       $55 ÷ 5 = 11

                                                       $99 ÷ 9 = 11

                                                       $22 ÷ 2 = 11

                             Therefore, each ticket sold is $11, or x = $11

The age of the skull is 7000 years as  half-life of C-14 is 5,700 years.

The half-life of C-14 is 5,700 years.

This means that after 5,700 years, the amount of C-14 in a sample is reduced to half of its original amount.

Let A₀ be the original amount of C-14 in the skull. Then, after some time t, the amount of C-14 remaining is 43% of A₀.

This can be expressed as:

\(0.43A_0 = A_0e^(^-^k^t^)\)

Simplifying this equation, we get

\(e^(^-^k^t^) = 0.43\)

Taking the natural logarithm of both sides, we get:

-ln(0.43) = -kt

Solving for t, we get:

t = (ln(0.43))/k

The value of the decay constant k for C-14 is approximately 0.00012 per year.

Substituting the values, we get:

t = (ln(0.43))/0.00012

=7000 years

Therefore, the age of the skull is approximately 7000 years.

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Proportional ratio to the ratio 1/8 = 2/16 or 4/32 or 3/24 and so on.

What is proportional ?

A proportionality is a ratio which thus examines two numbers. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. Proportions are denoted by the symbols "::" or "=".

According to Question

As long as you multiply or divide by the same number to both the numerator and denominator you will get a proportional ratio

Therefore:

When we Multiple 2 to numerator and denominator

we get 2/16.

When we Multiple 3 to numerator and denominator

we get 3/24.

When we Multiple 4 to numerator and denominator

we get 4/64/.

AND So on

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Answer:

.7x 63 = 90  (.7 is the same as 70%.  If they took off 30%, they left on 70%)

90 ÷ 3 = 30

Jennifer originally paid $30.00 a shirt.

Check

30 x .3 = 9  This is the amount of the discount per shirt.

30 - 9 = 21  Discounted cost per shirt.

21 x 3 = 63 The cost of three shirts.  

This checks.

Helping in the name of Jesus.

To determine the sign of the sum of two integers when one integer is positive and the other is negative, we can follow a simple rule based on their magnitudes.

If the magnitude of the positive integer is greater than the magnitude of the negative integer, the sum will be positive. This is because the positive integer outweighs the negative integer, resulting in a positive value.

On the other hand, if the magnitude of the negative integer is greater than the magnitude of the positive integer, the sum will be negative. In this case, the negative integer dominates and determines the sign of the sum.

In both scenarios, the sign of the larger magnitude integer takes precedence and determines the sign of the sum. It is important to note that the sum will always have the sign of the integer with the larger magnitude, regardless of the specific values of the integers involved.

By considering the magnitudes of the integers, we can easily determine the sign of their sum when one integer is positive and the other is negative.

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Answer:

I would go with option 4

Step-by-step explanation:

Answer:

\(\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}\)

\(\frac{x}{sin25} = \frac{32}{sin90}\)

\(x = \frac{32sin25}{sin90}\)

\(x = 13.5\)

Hope this helps! Have a great day... please mark as brainliest :0 :))

Step-by-step explanation:

True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.

In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.

The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.

For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.

Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.

Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.

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Given that it regularly overstated the population minimum, sample minimum looks to be a biased estimator.

a measurement made using sample data that consistently underestimates or overestimates the real quantity in the target population. A biassed estimator, then, is one whose average value deviates from the value of the parameter it claims to represent. referred to as a skewed statistic.

When the anticipated value of the estimator equals the parameter value, the estimator is considered to be unbiased if its bias is equal to zero for all values of the parameter.

An estimate is considered biassed when it deviates from the genuine population value. When an estimator stays faithful to the population parameter, it is said to be unbiased.

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The complete question is as follows:

Answer:

x=21

Step-by-step explanation:

180-117=63

63÷3=21

Answer:

Step-by-step explanation:

f(x) = a(x - h)² + k      - the  vertex form of the equation of the parabola with vertex (h, k)

\(f(x) = -16x^2+ 64x + 80\\\\f(x) = -16(x^2- 4x) + 80\\\\f(x) = -16(\underline {x^2-2\cdot2x\cdot2+2^2}-2^2) + 80\\\\f(x) = -16\big[(x-2)^2-4\big] + 80\\\\f(x) = -16(x-2)^2+64 + 80\\\\\bold{f(x)=-16(x-2)^2+124\quad\implies\quad h=2\,,\quad k=124}\)

The vertex is (2, 124)

The value of ∠L is 2.909° as the definition of angle is "An angle is created by joining two line segments at one point, or we can say that an angle is the combination of two line segments at a common endpoint".

An angle is created by joining two line segments at one point, or we can say that an angle is the combination of two line segments at a common endpoint. When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. The Latin word "angulus," which means "corner," is where the word "angle" originates. Based on measurement, there are different kinds of angles in geometry. The names of fundamental angles include acute, obtuse, right, straight, reflex, and full rotation. A geometrical shape called an angle is created by joining two rays at their termini. In most cases, an angle is expressed in degrees.

Here,

Side k = 130

Side l = 710

Side m = 833.99204

Angle ∠L = 2.909°

Angle ∠M = 16.091°

Angle ∠K = 161°

Angle L=cos⁻¹((m²+ k² - l²)/2mk)

=cos⁻¹((834²+130²-710²)/2*834*130)

= 2.909°

Since the definition of an angle is "An angle is created by joining two line segments at one point, or we can say that an angle is the combination of two line segments at a common endpoint," the value of ∠L is 2.909°.

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The population scenario of Dhaka City is characterized by rapid urbanization, high population density, and significant population growth.

1. The population scenario of Dhaka City is characterized by rapid urbanization, high population density, and significant population growth. These factors have led to numerous challenges, including increased traffic congestion, inadequate infrastructure, and strain on public services. The city's population is growing at a rapid pace, resulting in overcrowding, housing shortages, and environmental concerns.

2. To mitigate the present traffic jam situation in Dhaka City, a restructuring of the population can be pursued through various strategies. One approach is to promote decentralization by developing satellite towns or encouraging businesses and industries to establish themselves in other regions. This would help reduce the concentration of population and economic activities in the city center. Additionally, improving public transportation systems, including expanding the metro rail network, introducing dedicated bus lanes, and enhancing cycling and pedestrian infrastructure, can provide viable alternatives to private vehicles. Encouraging telecommuting and flexible work arrangements can also help reduce the number of daily commuters. Moreover, urban planning should focus on creating mixed-use neighborhoods with residential, commercial, and recreational spaces to minimize the need for long-distance travel.

By implementing these measures, the population of Dhaka City can be restructured in a way that reduces the strain on transportation systems, alleviates traffic congestion, and creates a more sustainable and livable urban environment.

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Answer:

Cone, Cylinder, Cone, the sum of two cones and a cylinder

Proof:

Answer:

25

Step-by-step explanation:

The lengths of the diagonals are:

GE = 8√5 units

DE = 4√5 Units

Area = 80 sq. units

We have been given an image of a kite on coordinate plane.

To find the length of GE we will use distance formula:

Distance = √[x₂ - x₁)² + (y₂ - y₁)²]

Substituting coordinates of point G and E in above formula we will get,  

GE = √[16 - 0)² + (8 - 0)²]

GE = √(256 + 64)

GE = √320

GE = 8√5 units

Similarly we will find the length of diagonal DF using distance formula.

DF = √[14 - 10)² + (2 - 10)²]

DE = √(16 + 64)

DE = √80

DE = 4√5 Units

Area of kite is given by the formula:

Area = (p * q)/2

where p and q are diagonals of kite.

Thus:

Area = ( 8√5 *  4√5)/2

Area = 80 sq. units

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Answer:

height of the wall ] is 48.25ft

Step-by-step explanation:

Given data

Length of ladder= 50ft

Angle= 75°

We want to find the Height of the wall

Applying the SOH CAH TOA

sin ∅= opposite/hypotenus

sin 75= opposite/ 50

0.965= opposite/ 50

opposite=0.965*50

opposite=  48.25ft

Hence the height of the wall ] is 48.25ft

Answer:

recessions

Step-by-step explanation:

Answer:

25&36

Step-by-step explanation:

25 is a square number and so is 36 and there product is 900. They are also consecutive.

Just assemble the square numbers from the least i.e 4 and try solving as asked to see if it gives 900.

Thus you'll land on 25&36

Answer:

5² and 6²

Step-by-step explanation:

Use trial and error

Start from the product of 1² and 2²

1×2²

1×4=4

4<900 (incorrect)

2²×3²

4×9=36

36<900(incorrect)

3²×4²

9×16=144

144<900(incorrect)

4²×5²

16×25=400

400<900(incorrect) *but close

5²×6²

25×36 =900

900=900(correct)

: . 5² and 6² are the two consecutive square numbers.

The maximum height reached from the ground is 242.75 m

Here, we have,

The horizontal speed of a projectile is regular, and there's a vertical acceleration because of gravity; its cost is 9.8 m/s/s, down, The vertical speed of a projectile changes via nine.8 m/s every second, The horizontal motion of a projectile is impartial to its vertical movement.

we know that,

Projectile motion is a form of motion experienced with the aid of an object or particle that is projected in a gravitational field, such as from Earth's floor, and movements alongside a curved route below the action of gravity best.

Projectile motion is the movement of an object thrown (projected) into the air. After the initial force that launches the item, it most effectively reports the pressure of gravity. The object is known as a projectile, and its route is called its trajectory.

Calculation:-

vertical velocity = 70 cos 35° = 57.34 m/s.

height = 64 m tall

time = ?

S = ut +1/2 at²

75 =  57.34t + 1/2×9.8 t²

4.9t² + 57.34t - 75 = 0

t = 1.50035 Sec

V² = U² - 2aS

0 =  U² - 2aS

U² = 2aS

S = U² /2a

  =  (57.34)²/2× 9.8

  = 167.75

Total height = 75 + 167.75

                    = 242.75 m

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complete question:

A man fired a bullet from the top of a tree whick is 64m tall. The bullet is fired with а velocity of 70ms-1 and angle of 35° to the horizontal line from the eye view of the man. If Sitting position the man is 0.8m Tall. Find the maximum height reached from the ground.

​

The Platinum Rule test is a good way of judging if distributive justice is taking place is true.

Distributive justice is the idea that people should be treated equally and that goods, opportunities, and resources should be distributed fairly among all members of society. The Platinum Rule test is one way to evaluate whether or not distributive justice is being practiced. In order to understand the Platinum Rule, it is important to first understand the Golden Rule, which states, "Do unto others as you would have them do unto you." The Platinum Rule takes the Golden Rule a step further by recognizing that people may have different needs, preferences, and desires.

The Platinum Rule states, "Do unto others as they would have you do unto them." This means that instead of treating others the way you would want to be treated, you should treat them the way they want to be treated. The Platinum Rule test can be used to evaluate whether or not distributive justice is being practiced by asking the question, "Are people being treated in the way they want to be treated?" If the answer is yes, then distributive justice is likely being practiced. However, if the answer is no, then there may be a problem with the way goods, opportunities, and resources are being distributed.

Overall, the Platinum Rule test is a useful tool for evaluating whether or not distributive justice is taking place.

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The solution to the literal equation is y = x - 2.

To solve inequality in y, we need a number such that the assertion holds if we replace y with that number. Isolating the variable on one side of the inequality and leaving the other terms constant is the first step in resolving the inequality.

From the given information:

4x + 1 = 9 + 4y

To solve for y, we have to switch the sides:

9 + 4y = 4x + 1

Subtract 9 from both sides

9 - 9 + 4y = 4x + 1 - 9

4y = 4x - 8

Divide both sides by 4

\(\dfrac{4y}{4}= \dfrac{4x}{4}-\dfrac{8}{4}\)

y = x - 2

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Answer: 7%

(Hope this is right.)

Step-by-step explanation:

Let's solve this using the information we have and an equation.

Shane: $32,000 - (Given)

Theresa: 18,000+14x, if x=1,160 - (Given)

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

Step two: (Theresa) 14(1,160) =16,240 (Algebra)

Step three: (Theresa) 18,000+16,240=34,240 (Algebra, given.) - cost of Theresa's car.

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

Finally,

They're asking for how much more she paid for her car as a percentage of what Shane paid.

34,240-32,000=2,240 and

2,240/32,000=0.07

0.07x100=7

Answer 7% more than what Shane paid.

The angle of elevation from the end of the shadow to the top of the man's head will be 34.077°.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function. The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

A man who is 5feet 9inches tall casts a shadow of 8feet 6inches.

Assuming that the man is perpendicular to the ground.

5 ft 9 in = 69 in

8 ft 6 in = 102 in

Then the angle of elevation from the end of the shadow to the top of the man's head will be

tan θ = 69/102

θ = tan ⁻¹ (0.676)

θ = 34.077°.

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Answer:

Kindly refer to below explanation.

Step-by-step explanation:

Given equation of line:

\(\dfrac{x}{a}cos\theta+ \dfrac{y}{b}sin\theta =1\\OR\\\dfrac{x}{a}cos\theta+ \dfrac{y}{b}sin\theta-1=0\)

Given points are:

\((\sqrt{a^2-b^2},0), (-\sqrt{a^2-b^2},0)\)

Formula for distance between a point and a line is:

If the point is \((m, n)\) and equation of line is \(Ax+By+C = 0\)

Then, perpendicular distance between line and points is:

\(Distance = \dfrac{|Am+Bn+C|}{\sqrt{A^2+B^2}}\)

Here,

\(A = \dfrac{x}{a}cos\theta\\B = \dfrac{y}{b}sin\theta\\C = -1\)

For the first point:

\(m = \sqrt{a^2-b^2}, n = 0\)

By the above formula:

\(p\) and \(p'\) can be calculated as:

\(p\times p' =\\\Rightarrow \dfrac{|\dfrac{cos\theta}{a}\times \sqrt{a^2-b^2}+ 0 -1|}{\sqrt{\dfrac{cos^2\theta}{a^2}+\dfrac{sin^2\theta}{b^2}}}\times \dfrac{|-\dfrac{cos\theta}{a}\times \sqrt{a^2-b^2}+ 0 -1|}{\sqrt{\dfrac{cos^2\theta}{a^2}+\dfrac{sin^2\theta}{b^2}}}\\\Rightarrow \dfrac{1-(\sqrt{a^2-b^2}\times \frac{cos\theta}{a})^2}{\dfrac{cos^2\theta}{a^2}+\dfrac{sin^2\theta}{b^2}}}\)

Formula used:

\((x+y)(x-y) = x^2 - y^2\)

\(\Rightarrow \dfrac{\dfrac{a^2-a^2cos^2\theta+b^2cos^2\theta}{a^2}}{\dfrac{b^2cos^2\theta+a^2sin^2\theta}{a^2b^2}}\\\Rightarrow b^2(\dfrac{a^2sin^2\theta+b^2cos^2\theta}{a^2sin^2\theta+b^2cos^2\theta})\\\Rightarrow b^2\)

(Using the identity:

\(sin^2\theta +cos^2\theta = 1\))

(Hence provded)

Solution:

Since the sample size is fixed;

And the probability of picking a girl is constant for each trial, the binomial distribution is appropriate;

Thus;

ANSWER: 0.32

Answer:

Step-by-step explanation:

See attached image.