7. Kiran iS playing a video game. He earns 3 stars for each easy level he completes and 5
stars for each difficult level he completes. He completes more than 20 levels total and
earns 80 or more stars.

If a bloodstain is 1.5cm wide and 30cm long, then the angle of impact is 30°.

In forensic science, the angle of impact is the angle at which a blood droplet strikes a surface. It has a range of 0 to 90 degrees and is, by definition, an acute (or right) angle.

Police can partially reconstruct a crime scene by connecting the "strings" that lead from the spatter to an origin area and knowing the angle of contact.

If a bloodstain has a tail or pattern, the angle of impact can be used to forecast how the subsequent bloodstain would look.

So, bloodstain pattern analysis examines the patterns of bloodstains found at crime scenes in an effort to piece together the sequence of events that led to the bloodshed.

Mathematically, we will have:

The angle of impact = sin⁻¹ (wide stain/length stain)

The angle of impact = sin⁻¹ (1.5/3.0)

The angle of impact = 30°

Therefore, if a bloodstain is 1.5cm wide and 30cm long, then the angle of impact is 30°.

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We select every fifth invoice in a file is systematic sampling.

Systematic sampling is a probability sampling technique where researchers choose individuals from the population at predetermined intervals (or k).

This method will provide you with a representative sample that can be utilized to make inferences about your community of interest if the population order is random or random-looking (for example, alphabetical).

This type of sampling is most suitable when we want to conduct a sampling method similar to simple random sampling but the list of population is unknown to us. However, this can also be used when the list of the same is available to us.

Another important condition is the order or the population, i.e. ow it is spread must be random and not in some particular order or sample. Else the result obtained will lose its credibility.

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[tex]4-\cfrac{2}{3}b+\cfrac{1}{4}a~~ + ~~\cfrac{1}{2}a+\cfrac{1}{6}b-7\implies 4-\cfrac{2b}{3}+\cfrac{a}{4}~~ + ~~\cfrac{a}{2}+\cfrac{b}{6}-7 \\\\\\ \left( \cfrac{a}{4}+\cfrac{a}{2} \right)+\left(-\cfrac{2b}{3} + \cfrac{b}{6}\right)+(4-7)\implies \left( \cfrac{a}{4}+\cfrac{a}{2} \right)+\left( \cfrac{b}{6}-\cfrac{2b}{3} \right)+(4-7)[/tex]

[tex]\left( \cfrac{(1)a+(2)a}{\underset{\textit{using this LCD}}{4}} \right)+\left( \cfrac{(1)b-(2)2b}{\underset{\textit{using this LCD}}{6}} \right)+(-3) \\\\\\ \left( \cfrac{a+2a}{4} \right)+\left( \cfrac{b-4b}{6} \right)-3\implies \left( \cfrac{3a}{4} \right)+\left( \cfrac{-3b}{6} \right)-3 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill {\Large \begin{array}{llll} \cfrac{3}{4}a-\cfrac{1}{2}b-3 \end{array}}~\hfill[/tex]

The average gas mileage of the mini-vans for each u. s. car manufacturer is an example of a quantitative variable. A quantitative variable is a type of variable that measures a numerical value.

The average gas mileage of the top-seller mini-vans for each U.S. car manufacturer is a numerical value, as it is measuring the average number of miles a mini-van can travel on one gallon of gas. This numerical value can be used to compare the performance of different mini-vans from different manufacturers.

Quantitative variables are usually expressed as numerical values and are usually measured on an interval or ratio scale. gas mileage for the mini-vans for each U.S. car manufacturer is an example of a quantitative variable because it is a numerical value that can be used to compare the performance of different mini-vans from different manufacturers.

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The maximum area of the rectangle is 12100 square feet  when the owner of a used tire store wants to construct a fence to enclose a rectangular outdoor storage area.

To find the dimensions of the outdoor storage area with the most area, we need to maximize the product of the length and width of the rectangle.

Let's assume that the length of the rectangle is x and the width is y.

Since one side of the store, which is 240 feet long, will be used as one of the sides of the rectangle, the total length of the remaining three sides is 460 feet.

So, the sum of the lengths of the other two sides must be

[tex]460 - x = 460 - 240 = 220 feet.\\[/tex]

Since the width and length of the rectangle are related by [tex]y = 220 - x[/tex] , we can substitute this into the expression for the area, which is given by [tex]A = x * y = x * (220 - x)[/tex]

To find the maximum value of A, we can differentiate this expression with respect to x and set the derivative equal to zero, which will give us the value of x that maximizes the area.

The critical points occur at x = 0 and x = 220/2 = 110.

Since the area is a continuous function, it follows that the area will be at a maximum at the larger of the two critical points, which is x = 110.

Thus, the length and width of the rectangle with the largest area are 110 feet and 110 feet, respectively.

The maximum area of the rectangle is

[tex]x * y = 110 * 110 = 12100 ft^{2}[/tex]

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The variable in the study is "miles walked per week", which represents the estimated distance that 150 people living in coastal regions of California walk each week.

The study aimed to understand the walking habits of people living in coastal regions of California by measuring the number of steps they take using pedometers. These steps were then converted into an estimate of distance traveled, and this estimate was used as the dependent variable in the study, referred to as "miles walked per week".

The goal of the study was to better understand the physical activity patterns of the participants and how it might relate to other factors, such as their health, lifestyle, and environment. The data collected could be analyzed to identify trends and make recommendations for promoting healthy physical activity.

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Answer:

A. x ≤ -4 or x > 7

Step-by-step explanation:

4x + 2 ≤ -14

Subtract 2 from both sides:

4x ≤ -16

Divide both sides by 4:

[x ≤ -4]

3x - 5 > 16

Add 5 to both sides:

3x > 21

Divide 3 from both sides:

[x > 7]

A third point charge put in the center of a square formed by four point charges of equal size will feel more force than if placed at one of the square's vacant corners.

A square is a closed two-dimensional form having four equal sides and four vertices. Its opposing sides are perpendicular to one other. A square can alternatively be thought of as a rectangle with equal length and width. Many items mimic the square form as you look around. A square is a regular quadrilateral with all four sides equal in length and all four angles equal. The square's angles are right angles or equal to 90 degrees. In addition, the square's diagonals are equal and intersect at 90 degrees.

Here,

The point charge at the center of the square will be equidistant from all four charges and will feel the vector sum of their forces, resulting in a greater net force. The point charge, on the other hand, will only be subjected to the pressures of two of the charges at one of the corners, resulting in a lesser net force.

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Answer:

a = 3, b = 10

Step-by-step explanation:

Opposite sides of a parallelogram are equal, so:
3a + 1 = b
5a = 2b - 5
Substituting 3a + 1 = b  in the second equation,
5a = 2(3a + 1)  - 5
= 6a + 2 -5
= 6a -3
6a - 5a = 3
So, a = 3
Now, 3a + 1 = b
So, b = 3(3) + 1
= 9 + 1
= 10

A frequency distribution in which high scores are most frequent is said to be positively skewed or right-skewed.

In statistics, skewness refers to the asymmetry of a probability distribution. A frequency distribution is said to be positively skewed or right-skewed if the majority of the data is concentrated on the right side of the distribution, while a few high values are outliers on the right tail. The frequency distribution will look like a graph that is shifted to the right with a longer tail on the right side.

Positive skewness means that the mean (average) of the data will be higher than the median (middle value). The median is a more robust measure of central tendency than the mean in a positively skewed distribution, because it is not influenced by the outliers on the right tail.

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Answer:

C) y= -4 +2

Step-by-step explanation:

Example 1 (3,-10)

-10 = -4 (3) + 2

-10 = -12 + 2

-10 = -10

Example 2 (10,-38)

-38 = -4 (10) + 2

-38 = -40 + 2

-38 = -38

Thus, the three terms of an arithmetic progression are (8, 13, and 18) or, (9, 13, and 17).

Let three terms of an arithmetic progression = (a - d), a, ( a + d)

According to the question:

The sum of three terms of an arithmetic progression = 39

∴  (a - d) + a + ( a + d) = 39

⇒ 3a = 39

⇒ a = 13

Also, The product of three terms of an arithmetic progression = 2145

∴  (a - d)a( a + d) = 2145

⇒ a(a^2 - d^2) =  2145

Put a = 13, and we get

d=4

Three terms of an arithmetic progression = (13 - 4), 13 and ( 13 + 4)

= 9,13,17

Put a = 13 and d = 4

Thus, the three terms of an arithmetic progression are (8, 13, and 18) or, (9, 13, and 17).

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The money to charge for his next job, Mark should charge $550 to earn a profit from the job.

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

Given that Mark is trying to decide how much money to charge for his next job,

cost of supplies = $275

cost of machine = $125

total expenditure = $275 + $125

total expenditure =  $400

profit Mark wants = $150

minimum amount he should charge to get the profit = $400 + $150

minimum amount he should charge to get the profit = $550

Hence he should charge at least $550.

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Answer:

x^2 - 6

Step-by-step explanation:

square of a number: x^2

6 is subtracted: -6

Correct option is B, The only quadrilateral that satisfies the requirements for a kite is quadrilateral EFGH. A kite has opposed sides that are not congruent and two sets of adjacent sides that are.

One quadrilateral is a closed figure with four sides. These geometric shapes are quadrilaterals: a quadrilateral form. There is just one set of parallel sides to the shape, and there are no right angles.

Each quadrilateral has four sides, four angles, and four vertices. Its inner angles add up to 360 degrees.

4 angles

The four sides of a quadrilateral also create four angles. Here are a few quadrilateral instances. Each figure has four straight sides and four angles, as you can see. Any quadrilateral's interior angles add up to 360°.

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Complete question -

Answer:

Below

Step-by-step explanation:

Given the slope m = 3/7

  the PERPINDICULAR slope will be  - 1/m  = -1 / (3/7) = - 7/3

      this is just something you have to LEARN and remember....

As per unitary method there are 184 children and 190 adults are admitted.

The unitary method is a method of solving problems by breaking down a quantity into its smaller parts and then finding the relationship between these parts.

Let's represent the number of children admitted as "x" and the number of adults admitted as "y".

We know that the admission fee for children is $1.50 and for adults is $4.00. So, the total amount collected from the children can be represented as 1.5x and the total amount collected from adults can be represented as 4y.

The total number of people admitted is the sum of the number of children and the number of adults, which is

=> x + y = 374.

The total amount collected from the admission fees is $1,036.00, which is equal to the sum of the amount collected from the children and adults, which can be represented as

=> 1.5x + 4y = $1,036.00.

So, we have two equations:

x + y = 374

1.5x + 4y = $1,036.00

We can use the first equation to solve for one of the variables and then substitute that value into the second equation to find the value of the other variable.

Let's solve for y:

y = 374 - x

Now we can substitute this value of y into the second equation:

1.5x + 4(374 - x) = $1,036.00

Expanding the second equation, we get:

1.5x + 1496 - 4x = $1,036.00

Combining like terms, we get:

-2.5x + 1496 = $1,036.00

Subtracting 1496 from both sides:

-2.5x = -460

Dividing both sides by -2.5:

x = 184

So, there were 184 children admitted to the park.

We can use the first equation to find the number of adults:

y = 374 - x

y = 374 - 184

y = 190

So, there were 190 adults admitted to the park.

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-7x² + 5x - 2 is a quadratic polynomial.

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

-7x² + 5x - 2

We see that the degree of the polynomial is 2.

Now,

A polynomial with degree 2 is called a quadratic polynomial.

Thus,

It is a quadratic polynomial.

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Answer:

y = 20

Step-by-step explanation:

[tex]\frac{8}{12}[/tex] = [tex]\frac{y}{30}[/tex] ( cross- multiply )

12y = 8 × 30 = 240 ( divide both sides by 12 )

y = 20

A statistic is a numerical summary of a sample of data used to make inferences about a population. So, option A is the answer.

A statistic is a numerical value calculated from a sample of data. In the case of the poll, 92% represents the percentage of people in the sample who reported that their family's financial situation would be as good or better in a year's time. The statistic summarizes the data collected from the sample, and is used to make inferences about the population from which the sample was drawn.

Statistics play a crucial role in many fields, including economics, business, medicine, and social sciences. By analyzing a sample of data, rather than the entire population, statisticians can draw inferences and make predictions about the population.

For example, in the case of the poll mentioned in the question, the 92% statistic provides an estimate of the proportion of the population who believe their financial situation will be as good or better in a year's time. While the sample is not the entire population, the statistic provides valuable information about the population and can be used to make decisions and plan for the future.

It's important to note that statistics are only as good as the sample from which they are derived. The sample should be representative of the population, and the method of sampling should be carefully chosen to ensure that the sample is representative. Otherwise, the statistic may not accurately reflect the population, and any inferences or predictions made based on the statistic may be incorrect.

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The sample space of the statistical experiment of randomly choosing one of the great lakes from a map is the set of all possible outcomes, which are the five great lakes: Superior, Huron, Erie, Ontario, and Michigan.

A random experiment's sample space S is defined as the set of all potential experiment results. The outcomes of a random experiment, also known as sample points, are mutually exclusive (i.e., they cannot occur simultaneously).

A random experiment's sample space is the collection of all conceivable results. A random experiment's related event is a subset of the sample space. Any outcome's probability is a number between 0 and 1. All of the outcomes have a probability of one.

The sign "S" is used to indicate the sample space. An experiment's events are the subset of conceivable outcomes. Depending on the experiment, a sample area may contain a variety of outcomes.

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If you don't see the intersection point on your graphing tool, it may mean that the intersection is not within the range of the graph or that the graphs are not intersecting at a specific point.

In a plane, intersecting lines are any two or more lines that cross one another. The point of intersection, which can be found on all intersecting lines, is where the intersecting lines share a common point.

In this case, you can try to adjust the range or zoom in on a specific area to find the intersection. If the graphs are not intersecting at a specific point, it means they are either parallel or coincident.

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The four intgers would give my the product -24, can be, -2,2,2,3

or, _-2, 4, 3 , 1.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

-24

we know,

-24

= -4 * 6

= -2*2 * 2*3

Hence, The four intgers would give my the product -24, can be, -2,2,2,3

or, _-2, 4, 3 , 1.

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Answer:

2/5 is bigger

Step-by-step explanation:

if you have a pie with 8 slices and you eat 2, and have a pie containing 5 slices and eat 2 which empty space will be larger? think of it that way and i hope that helps

The correct statement is,

The spread from the lower quartile to the median is greater than the spread from the median to the upper quartile.

Option C is true.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, By the photo, we know that:

Median: 7

Upper quartile: 9

Lower quartile: 4

Hence, We get;

Interquartile range = 9 - 4 = 5

Lower quartile to median = 7 - 4 = 3

Upper quartile to median = 9 - 7 = 2

Thus, The spread from the lower quartile to the median is greater than the spread from the median to the upper quartile.

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The ratio of drink mix to mixed energy drink is 3:11

8 cups water

3 cups drink mix

We already know the amount of drink mix because the problem gives it to us (3 cups)

As for the amount of mixed energy drink we have to add the two values to get the total.

8 + 3 = 11

Hence the ratio of drink mix to mixed energy drink is 3:11  

hope that helps :)

1. The value of the fractions will be:

1 5/12 - (1 1/2 - 5/12) = 1/3

2 - 2 3/4 × -1/7 = 11/28

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

= 1 5/12 - (1 1/2 - 5/12)

= 1 5/12 - (1 6/12 - 5/12)

= 1 5/12 - 1 1/12

= 4/12

= 1/3

- 2 3/4 × -1/7

= -11/4 × -1/7

= 11/28

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In order to test the efficacy of the drug, some students are provided with the actual drug whereas others are provided with a dummy version of the drug.

To test the efficacy of the drug, you want to compare the exam scores of the students who took the drug to those who took the placebo. This is known as a double-blind, randomized controlled trial and it is considered the gold standard for evaluating the effectiveness of a treatment. By comparing the scores of the students who took the drug to those who took the placebo, you can determine whether the drug is actually improving exam performance or if the improvement is due to other factors such as placebo effect or chance.

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Answer:

3 is y = -2x +1 and y = -2x -3 that's three

The probability that the system will function tomorrow is 0.2495 or 24.95%.

To find the probability that the system will function tomorrow, we need to find the probability that at least 4 out of the 6 components will function.

On a rainy day, the probability of 4 components functioning is given by:

P(rainy day and 4 components functioning) = C(6, 4) × (0.5)⁴ × (0.5)² = 15 × 0.0625 × 0.25 = 0.2344

On a non-rainy day, the probability of 4 components functioning is given by:

P(non-rainy day and 4 components functioning) = C(6, 4) × (0.8)⁴ × (0.2)² = 15 × 0.4096 × 0.04 = 0.2534

Now we can find the overall probability of the system functioning tomorrow by using the law of total probability:

P(system functioning tomorrow) = P(rainy day and 4 components functioning) × P(rain) + P(non-rainy day and 4 components functioning) × P(non-rain)

= 0.2344 × 0.20 + 0.2534 × 0.80

= 0.0468 + 0.2027

= 0.2495

Therefore, the probability that the system will function tomorrow is 0.2495 or 24.95%.

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--The given question is incomplete; the complete question is

"A k out of n system is one in which there is a group of n components, and the system will function if at least k of the components function. For a certain 4 out of 6 systems, assume that on a rainy day, each component has a probability of 0.5 of functioning and that on a non-rainy day, each component has a probability of 0.8 of functioning.

Assume that the probability of rain tomorrow is 0.20. What is the probability that the system will function tomorrow?"--