if the probability of a car starting on a cold morning is 0.6, and one has two such cars, what is the probability of at least one of the cars starting on a cold morning?

A statistic is a number that describes a sample, whereas a parameter is a number that describes the complete population.

To characterise the whole population under consideration, a parameter is utilised. For instance, we could be curious about a butterfly's typical length. Given that it contains data on the whole butterfly population, this qualifies as a parameter.

The most often used sample is a simple random sample. Every practicable sample of the selected size must be given an equal probability of being used. An element is a population characteristic. The statistic is a property of the sample.

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Online calculator of variable cost is used to Total Variable Cost = Total Cost-Fixed Costs to calculate the Total Variable Cost.

A variable cost is an expense that changes as a company's production output rises and falls. Variable expenses vary according on the amount of output produced. Basic variable costs include, in large part:

Variable costs are frequently employed in business and are a crucial component of the analysis of the company's break-even point. The revenue or unit that must be sold to cover all costs is examined using the break-even approach.

The following calculation is the break-even point:

Break-even point in units = Fixed costs/(Sales price per unit – Variable cost per unit)

Variable costs are crucial for successful investors because they help them calculate the proportion of the set price and predict how the company will respond to various operational scenarios.

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Answer:

8.5 cm

Step-by-step explanation:

A regular pentagon has 5 congruent sides , then

length of each side = perimeter ÷ 5 = 42.5 ÷ 5 = 8.5 cm

This statement 'During the early days of analytics, data was often obtained from the domain experts using manual processes to build mathematical or knowledge-based models' is true and not false.

During the early days of analytics, data was often obtained from domain experts using manual processes to build mathematical or knowledge-based models. Before the advent of computers and digital data storage, data was typically collected and processed manually. This often involved subject matter experts manually collecting data and performing calculations by hand to develop models and draw insights. Over time, as computing technology and data storage capabilities improved, analytics has evolved to rely increasingly on automated processes and sophisticated algorithms.

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The sample space of possible outcomes are S=​ {(B,1),(B,2),(B,3),(B,4),(B,5),(B,6),(R,1),(R,2),(R,3),(R,4),(R,5),(R,6)}.

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area could contain a variety of results.

Given that, a person draws a playing card and checks its color and then spins a six-space spinner.

The sample space of possible outcomes using B, R for the card outcomes and 1, 2, 3, 4, 5, 6 for the spinner outcomes.​

The sample space is S=​ {(B,1),(B,2),(B,3),(B,4),(B,5),(B,6),(R,1),(R,2),(R,3),(R,4),(R,5),(R,6)}.

Therefore, the sample space of possible outcomes are S=​ {(B,1),(B,2),(B,3),(B,4),(B,5),(B,6),(R,1),(R,2),(R,3),(R,4),(R,5),(R,6)}.

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

If a person draws a playing card and checks its color and then spins a six-space spinner​, describe the sample space of possible outcomes using B, R for the card outcomes and 1, 2, 3, 4, 5, 6 for the spinner outcomes.​ (Make sure your answers reflect the order​ stated.)

The sample space is S=​{   ​}.

​(Use a comma to separate answers as​ needed.)

We can convert Kilometer to feet by using the relation 1Km = 3280.83 ft.

A Kilometer is used as a standard unit of measuring distance between any two bodies.

As per the standard unit conversion rates 1 km is equal to 3280.83 ft.

So if we want to convert any quantity in km to feet. We can follow the above mentioned unit conversion rate in order to do so.

Let us say for example, we have to km and we have to converted into feet.

2 kilometer = 2 × 3280.83 ft

2 kilometer = 6561.66 ft.

So, we can convert any kind of distance given in kilometer to feet by using the same method as above.

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The greatest volume of mortar mix, she could make, is 1.5 cubic meters.

The ratio is a numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.

Given:

Mortar mix is made by mixing cement, sand, and quicklime in a ratio of 1:2:3.

Julie has 0.75 m³ of quicklime.

Let the volume of cement, sand, and quicklime be x, 2x, and 3x.

So,

3x = 0.75

Divide by 3 into both sides,

we get,

3x/3 = 0.75/3

x = 0.25

The total volume = the greatest volume of mortar mix

=  x + 2x + 3x

Substituting the value of x to the expression,

we get,

x + 3x + 3x = (0.25) + 2(0.25) + (90.25)

The greatest volume of mortar mix,

= 1.5 cubic meters.

Therefore, the required amount of volume is 1.5 cubic meters.

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The complete question:

Mortar mix is made by mixing cement, sand, and quicklime in a ratio of 1:2:3.

Julie has 0.75 m³ of quicklime.

She has plenty of sand and cement.

Work out the greatest volume of mortar mix she could make.

Answer: Let's use x to represent the number of hours Kendra works as a babysitter, and y to represent the number of hours Kendra works providing tech support. Then, we can write the following system of inequalities to represent Kendra's goal:

10x + 15y >= 1000 (Kendra needs to earn at least $1000)

x + y <= 80 (Kendra can't work more than 80 hours in total)

To graph these inequalities, we can start by graphing the boundary lines for each inequality. To do this, we can rewrite each inequality as an equation and graph it as a line:

10x + 15y = 1000 (the boundary for the earnings inequality)

x + y = 80 (the boundary for the total hours inequality)

We can then shade the region that satisfies both inequalities (i.e. the region that is above the earnings line and below the total hours line). This shaded region represents all the possible combinations of hours that Kendra could work to meet her goal:

 |

80|          .

 |        .

 |      .

 |    .

 |  .

0|___________________

 0       50        80

  Babysitting Hours

In the graph, the shaded region is the triangular area bounded by the x-axis, the y-axis, and the line x + y = 80. The fewest number of hours Kendra could work and still meet her goal is the point where the earnings line intersects the total hours line within the shaded region. To find this point, we can solve the system of equations:

10x + 15y = 1000

x + y = 80

One way to solve this system is to use substitution. Solving the second equation for y, we get y = 80 - x. Substituting this expression for y into the first equation, we get:

10x + 15(80 - x) = 1000

Simplifying and solving for x, we get x = 40. Substituting this value for x into the second equation, we get y = 80 - 40 = 40.

Step-by-step explanation:

Answer:

x = [tex]\frac{1}{19}[/tex]

Step-by-step explanation:

2 = 19x + 1  Subtract 1 from both sides

2 - 1 = 19x + 1 - 1

1 = 19x  Divide both sides by 19

[tex]\frac{1}{19}[/tex] = [tex]\frac{19x}{19}[/tex]

[tex]\frac{1}{19}[/tex] = x

Answer:

10

Step-by-step explanation:

[tex]7.2\\+\\2.8\\--\\10[/tex]

10 is an integer, there is no way to express it in decimal form.

Answer: 10

Step-by-step explanation:

2.8+7.2=10

yup

The area of the trapezoid given is 160 cm².

We can write the area of the trapezoid as -

A = {1/2} x {sum of parallel sides} x {distance between them}

A = {1/2} x {P₁ + P₂} x {h}

Given is that a trapezoid with 24 cm length and 10 cm height. One side of the trapezoid is 8 cm.

We can write the area of the trapezoid as -

A = {1/2} x {P₁ + P₂} x {h}

A = {1/2} x {24 + 8} x 10

A = 1/2 x 10 x 32

A = 160 cm²

Therefore, the area of the trapezoid given is 160 cm².

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Answer: 69 (nice)

Step-by-step explanation:

ask the question: what squared equals 4761?

69 x 69 = 4761

Therefore, sqrt4761 = 69

Answer:

−16n² −4n −4

Step-by-step explanation:

=(4)(−4n²+−n+−1)

=(4)(−4n²)+(4)(−n)+(4)(−1)

=−16n² −4n −4

The Z score for a 99% confidence interval is approximately 2.576.

A confidence interval is a range of values that, with a given degree of certainty, is likely to contain the real value of a population parameter.

For example, a 99% confidence interval means that if we were to take repeated samples of the same size from the same population

To figure the interval estimate for each sample,

Approximately 99% of these intervals would contain the true population parameter.

To find the Z score for a 99% confidence interval,

We can make use of a calculator or a conventional normal distribution table.

The Z score for a 99% confidence interval corresponds to the point on the standard normal distribution

Where the area to the right of the Z score is 0.01

(As the confidence interval is split evenly into two tails, each with a probability of 0.005).

Utilizing a standard normal distribution table or calculator,

We find that the Z score for a 99% confidence interval is approximately 2.576.

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Answer:

t = 13

Step-by-step explanation:

Solve for t

[tex]-6(t-12)=-6[/tex]

Simplify

[tex]-6(t+-12)=-6[/tex]

Distribute -6

[tex]-6t+72=-6[/tex]

Subtract 72 on both sides

[tex]-6t=-78[/tex]

Divide by -6

[tex]t=13[/tex]

Answer:

248 feet

Step-by-step explanation:

Since each curtain is 48 inches long, or 4 feet long, Fabrizio will need:

62 curtains × 4 feet per curtain = 248 feet of fabric

Therefore, Fabrizio's curtain company will need 248 feet of fabric to make 62 curtains.

Answer:

248 feet...

Step-by-step explanation:

Each curtain is 48 inches long, which is 4 feet (since there are 12 inches in a foot). Therefore, 62 curtains will require:

62 curtains x 4 feet per curtain = 248 feet of fabric.

So Fabrizio's curtain company will need to purchase 248 feet of fabric from the store...

The slope of the line passing through the points (3,4) and (-4,-5) is 9/7.

The slope of a line passing through two points can be found using the slope formula, which calculates the change in the y-coordinate divided by the change in the x-coordinate between the two points. To find the slope of the line passing through (3,4) and (-4,-5), we plug the coordinates into the slope formula and simplify. The slope formula gives the rate at which the line rises or falls relative to its horizontal movement. A positive slope means that the line is rising from left to right, while a negative slope means that the line is falling from left to right. In this case, the slope is positive, indicating that the line rises from left to right.

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The other two exterior angles are the ones in option 4.

105° and 115°

Remember two things:

You can use any of these two to find the answer, I will use the first one.

If one of the exterior angles is 140°, then the only option that adds up to 360° is the  lastoption

140° + 115° + 105° = 360°

So that is the correct option.

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The sequence with a first term of 10 and a common difference of 4 is the one in the first option.

f(1) = 10

f(n) = f(n - 1) + 4

For a general arithmetic sequence we define the first term and recursive formula as:

f(1) = a   (this is the first term)

f(n) = f(n - 1) + d  (d is the common difference)

So, a first term of 10 and a common difference of 4 would be written as:

f(1) = 10

f(n) = f(n - 1) + 4

Then the correct option is the first one.

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Answer:

Dispensed

Step-by-step explanation:

The 55-gallon drum size is a popular choice for storing and transporting materials because it is convenient, cost-effective, and safe.

The size of the 55-gallon drum is not arbitrary. It is a standard size that has been adopted by industry and regulatory agencies for many practical reasons.

Firstly, the 55-gallon drum is a convenient size for handling and transport. It is large enough to hold a significant amount of material but still small enough to be moved around with relative ease. Its cylindrical shape makes it easy to roll and stack, which saves space and simplifies handling.

Secondly, the 55-gallon drum is a cost-effective option for storage and transport. Its size allows for efficient use of space and materials, which translates into lower costs for manufacturers and shippers.

Thirdly, the 55-gallon drum size is closely linked to regulatory standards. Many regulations and guidelines in the industry specify the use of 55-gallon drums for storing and transporting hazardous materials. This is because the size is considered to be a safe and manageable option for handling such materials.

Its dimensions have been standardized by industry and regulatory agencies, making it a common sight in many settings.

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The different possibilities of combinations of 4 are combinations of 4 distinct items, combinations of 4 items with replacement, combinations of 4 items without replacement and combinations of 4 items without replacement

It depends on what exactly you mean by "combinations of 4." Here are a few possibilities and the corresponding answers:

Combinations of 4 distinct items: If you have 4 distinct items and you want to know how many different ways there are to choose a group of 4 from among them, the answer is 4 choose 4, which is equal to 1.

Combinations of 4 items with replacement: If you have a set of items and you want to know how many different groups of 4 you can make if you're allowed to repeat items, the answer is the number of items raised to the 4th power

Combinations of 4 items without replacement: If you have a set of items and you want to know how many different groups of 4 you can make if you're not allowed to repeat items

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On converting 159 lbs to Kg , we get 159 pounds is equivalent to 72.1211 Kilogram .

The various units that are used to measure the weight of an object , some of them are : Kilogram (Kg) , Pounds (lb) , Gram (gm) .

We have to convert 159 lbs to Kilogram ;

We know that , 1 pound is equal to 0.453592 Kg ;

So , the conversion factor is 0.45359237 kg per pound.

For the conversion , we multiply the given weight by this conversion factor ,

We get ;

⇒ 159 lbs × 0.45359237 kg/lb = 72.1211 Kg ;

Therefore, 159 pounds is equal to 72.1211 Kilograms .

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A loaded lion valuation calculator is a tool to estimate the value of a high-growth startup based on financial metrics.

The stacked lion valuation mini-computer is a device used to gauge the worth of a new business in light of its monetary and functional exhibition. The expression "stacked lion" alludes to a startup that has raised huge measures of subsidizing and is supposed to fill quickly from here on out. The number cruncher considers a few variables, including the organization's income, development rate, net revenue, and industry valuation products, to decide an expected endeavor esteem (EV) and value esteem (EV short obligation). The adding machine may likewise calculate the organization's subsidizing history, supervisory crew, and serious scene. This valuation can be utilized by startup pioneers, financial backers, and different partners to decide the organization's worth and arrange speculation bargains. While the stacked lion valuation mini-computer can give a helpful gauge, it is critical to remember that startup valuations are innately dubious and may vacillate in light of changing economic situations and different variables.

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Mr. and Mrs. Barnes would spend $414 if they buy all the items.

Data refers to the elements that make up persons, things, events, and ideas. It could be an integer, a title, or anycast. Data must be tabulated after collection in order to study their prominent characteristics.

The presentation of data is the name given to such a configuration.

Bar Chart, Histogram, Line Graph, Pie Chart, Frequency Distribution Table.

From the given table,

The cost of the coat is 55% of $180, which is,

= (55/100)×180.

= $99.

The cost of the shoe is (1/2) of $150 which is,

= $(150/2).

= $75.

The cost of the television is, $240.

Therefore,The total spending is, = $(99 + 75 + 240).

= $414.

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The measure of angle x is 70°  

For a triangle, the exterior angle is the angle formed by extending one of the sides of the triangle

The Triangle Exterior Angle Theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

Here we have

A triangle where 105° is an exterior angle

And 'x' is an interior angle

Name the given triangle as given below

If we take AC as Transversal which cuts AB and DC  

=> ∠A = 35°    [ Alternate Interior Angles ]      

In a triangle,

The measure of an exterior angle will equal to the sum of measures of opposite interior angles.  

=> x° + 35° = 105°  

=> x° = 105° - 35°  

=> x° = 70°  

Therefore,

The measure of angle x is 70°

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Answer:

28.79 cm.

Step-by-step explanation:

The perimeter of a semicircle is equal to the sum of the diameter (which is twice the radius) and half of the circumference of the circle.

The diameter of the semicircle is 2 × 5.6cm = 11.2cm.

The circumference of a full circle with radius 5.6cm is 2π × 5.6cm = 11.2π cm.

Therefore, the circumference of the semicircle is 1/2 of the circumference of the full circle, which is 1/2 × 11.2π cm = 5.6π cm.

The perimeter of the semicircle is the sum of the diameter and the circumference, which is:

11.2cm + 5.6π cm ≈ 28.79cm (rounded to two decimal places)

Therefore, the perimeter of the semicircle is approximately 28.79 cm.

Answer:

pi ( 5.6 ) + 11.2 or approximately 28.79291 cm

Step-by-step explanation:

The outside of the semicircle or the perimeter is 1/2 of the circumference and the length that closes the circle is the diameter.

Perimeter = 1/2 C + d

                 = 1/2 *pi*d + d

The diameter is 2 times the radius.

                 = 1/2 ( pi) * (2r) + 2r

                  = pi r + 2 r

                   = pi ( 5.6 ) + 11.2

Approximating pi, we get approximately 28.79291

Answer:

14 small floral arrangements

Explanation:

First you subtract 4 from 144

144 - 4 = 140

Second you multiply the cost of a small floral arrangement and how many you have boughten.

7 x 10 = 70

You subtract the cost of 10 medium floral arrangements and how many you have boughten.

140 - 70 = 70

Finally, you divide the cost of the small floral arrangements by the remaining money.

70 / 5 = 14