A basketball team won its last game by making only 2-point and 3-point baskets.
The players scored a total of 90 points. The players made 25 more 2-point baskets than 3-point baskets.

a.Write a system of equations that can be used to determine x. The number of 2-Point baskets, and y, the number of 3-point baskets, the team made.

B. Solve your system of equations to determine the values of y and y. Show your work.

Pls show work and answer asap
Thank you

The expected winning and the value of that prize, which gives an expected winning is c. $3.13 per ticket.

The expected winnings per ticket in the raffle can be calculated by adding the products of the probability of the expected value of winning each prize. The predicted wins per ticket may be computed as the total of each prize's value multiplied by its probability of winning, i.e.

Expected winnings per ticket

= (1/800) × $400 + (4/800) × $200 + (12/800) × $125 + (30/800) × $60 + (753/800) × $0

If we condense the equation, we obtain:

Calculating the total wins anticipated per ticket

= $0.50 + $1.00 + $1.88 + $0.75 + $0

Expected winnings per ticket = $3.13

Therefore, if you buy a ticket, the expected winnings per ticket are $3.13.

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Complete question:

For a fundraiser, there is a raffle with 800 tickets, each costing $15. 1 ticket will win a $400 prize, 4 tickets will win a $200 prize, 12 tickets will win a $125 prize, 30 tickets will win a $60 prize, and the remaining tickets will win nothing. if you buy a ticket, what are the expected winnings per ticket? question options:

a) $5.36

b) $5.63

c) $5.33

d) $5.66

The single factor ANOVA tests for mean differences between 3 or more groups by comparing the variance within groups to the variance between groups.

It examines whether the differences between the means of the groups are greater than what would be expected due to chance. The ANOVA test uses the F-statistic to calculate the ratio of the variance between groups to the variance within groups. If the F-statistic is significant, it indicates that there is a significant difference in the means between the groups, and post-hoc tests can be conducted to determine which specific groups differ significantly. In conclusion, the single factor ANOVA tests are an essential statistical tool for determining whether there are significant differences between multiple groups and are used widely in various fields of research.

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We introduced three conditions that should be met before we construct a confidence interval for an unknown population proportion: Random, Normal, and Independent.

There are three crucial requirements that must be met in order to establish a confidence interval. These are Independent, Random, and Normal.

Any survey is carried out objectively.

It is required to assure randomness. An independent choice is equally likely to be made in a random sample. Similar to how the confidence interval is built, normal is used to confirm which phenomena are being employed or to correct the approach if necessary. In a similar vein, independent is crucial because it contains the facts to be analyzed. For the purpose of calculating the standard deviation, independent is used.

Therefore, it's crucial to consider the Random, Normal, and Independent criteria while building a confidence interval.

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The yield to maturity of a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons, if the =bond is currently trading for a price of $884, is 6.23%. Thus, option a and option b is correct

Yield to maturity (YTM) is the anticipated overall return on a bond if it is held until maturity, considering all interest payments. To calculate YTM, you need to know the bond's price, coupon rate, face value, and the number of years until maturity.

The formula for calculating YTM is as follows:

YTM = (C + (F-P)/n) / ((F+P)/2) x 100

Where:

C = Interest payment

F = Face value

P = Market price

n = Number of coupon payments

Given that the bond has a coupon rate of 5.2%, a face value of $1000, a maturity of ten years, semi-annual coupon payments, and is currently trading at a price of $884, we can calculate the yield to maturity.

First, let's calculate the semi-annual coupon payment:

Semi-annual coupon rate = 5.2% / 2 = 2.6%

Face value = $1000

Market price = $884

Number of years remaining until maturity = 10 years

Number of semi-annual coupon payments = 2 x 10 = 20

Semi-annual coupon payment = Semi-annual coupon rate x Face value

Semi-annual coupon payment = 2.6% x $1000 = $26

Now, we can calculate the yield to maturity using the formula:

YTM = (C + (F-P)/n) / ((F+P)/2) x 100

YTM = (2 x $26 + ($1000-$884)/20) / (($1000+$884)/2) x 100

YTM = 6.23%

Therefore, If a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons is now selling at $884, the yield to maturity is 6.23%.

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If 40% of a number is equal to two-thrid of another number, the ratio of first number to the second number is

Let's say the first number is "x" and the second number is "y".

We can translate the problem into an equation:

40% of x = 2/3 of y

or

0.4x = (2/3)y

We can simplify this equation by multiplying both sides by 5 to get rid of the decimal:

2x = (10/3)y

Now we can solve for the one variable in terms of the other:

x = (5/3)y

So the ratio of first number to the second number will be:

x:y = 5:3

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Answer:

No

Step-by-step explanation:

If you think about this, we can figure out that 66 is 2/3 of 99.

To find out what 2/3 of 125 is, we can divide 125 by 3.

125 ÷ 3 = 41.6666667

Now multiply that by 2:

41.6666667 × 2 =83.3333334

So, no.

This is not proportional.

The probability of getting a poker hand (5 cards) containing 3 cards of one denomination and 2 cards of a second denomination or full house is 0.00144 or about 0.14%.

To calculate the probability of getting a full house, we need to first determine the total number of possible 5-card hands. This can be done using the formula for combinations:

C(52, 5) = 2,598,960

There are 2,598,960 possible 5-card hands from a standard deck of 52 cards.

Next, we need to count the number of ways to get a full house. To do this, we first choose the denomination for the 3-of-a-kind (there are 13 options), then choose which 3 of the 4 cards of that denomination to include (there are C(4,3) ways to do this), and finally choose the denomination for the pair (there are 12 remaining denominations to choose from), and which 2 of the 4 cards of that denomination to include (there are C(4,2) ways to do this). So the total number of full houses is:

13 * C(4,3) * 12 * C(4,2) = 3,744

Therefore, the probability of getting a full house is:

P(full house) = 3,744 / 2,598,960

≈ 0.00144

So the probability of getting a full house is approximately 0.00144 or about 0.14%.

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The graph of the inequality y ≥ (1/2)x - 1 and x - y > 1 is attached. Shannon's graph is correct.

An equation is an expression that shows the relationship between two or more numbers and variables. Equations can either be linear, quadratic, cubic and so on depending on the degree.

Inequalities are used for the non equal comparison of numbers and variables.

Given the inequalities:

y ≥ (1/2)x - 1     (1)

and

x - y > 1     (2)

The graph of the inequality is attached. Shannon's graph is correct.

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Answer: B(0,-6); C(-2,0)

Step-by-step explanation:

A was translated 4 units to the right (x) and 5 units down (y)

Do the same for the other points

B(-4+4, -1-5)                        C(-6+4, 5-5)

B(0, -6)                                C(-2, 0)

Step-by-step explanation:

x is the angle.

complementary angles are adding up to 90°.

supplementary angles are adding up to 180°.

so,

90 - x = (180 - x) - 40 = 140 - x

0 = 50 ? no

there is something wrong here. this cannot work out, there is no solution. there cannot be a solution.

because due to the definitions, the supplementary measure of an angle must always be 90° larger than the complementary measure of the same angle. that is by default the difference in their definition.

so, if an angle is only 40° less than the supplementary angle, then it cannot be the complementary angle.

so, either there was a mistake in the question, or this is a trick question.

under the given circumstances, there is no solution possible.

Answer:

y = 4x + 9

Step-by-step explanation:

Given the linear equation, y = 2x + 14 where:

slope (m) = 2

y-intercept (b) = 14

Doubling the slope: 2 × 2 = 4

Reducing the y-intercept by 5:  14 - 5 = 9

Therefore, the new linear equation is:

y = 4x + 9

Answer:

answer is -1/2

have a nice day

Answer:

it's d

Step-by-step explanation:

x goes to the right 8 so it's +8

and y goes up u so it's +7

Answer:

D) (x, y) - ( x+8, y+ 7)

Step-by-step explanation:

A coordinates= (-5, -1)

Add -5+8=3

Add -1+7=6

Which gives you (3,6) which is A’

Do that to all the points and they all line up

Hope this helps :)

The given figure is a triangle with 3 sides and angles. The length of BC as shown in the diagram is 20.5in

The given figure is a triangle with 3 sides and angles. In order to determine the length of BC, we will use the expression given:

cos 35 = a/25

where a = BC

cos 35 = BC/25
BC = 25cos 35
BC = 20.5in

Hence the length of BC as shown in the diagram is 20.5in

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Answer:

The two possible outcomes are 4 and -12, so 4

Step-by-step explanation:

The greatest value of x  is 4.

Factorization is when you break a number down into smaller numbers that, multiplied together, give you that original number. When you split a number into its factors or divisors, that's factorization.

Given equation

⇒ \(x^{2} +8x-30 = 18\)

⇒ \(x^{2} +8x-30-18=0\)

⇒ \(x^{2} +8x-48=0\)

⇒ \(x^{2} +12x-4x-48=0\)

⇒ \(x(x+12)-4(x+12)=0\)

⇒ \((x+12)(x-4)=0\)

x = -12 and x = 4

Hence, the greatest value of x  is 4.

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Answer:

|7x+4|=24

7x=20

x=20/7

Step-by-step explanation:

-7x-4=24

-7x=28

x=-4

The correct option is cone and plane. A conic section is the intersection of a plane and a cone. The best definition of a conic section is "cone and plane".

The definition of conic section is a conic section is a shape that is formed when a right circular cone intersects a plane. Depending on the angle of the plane concerning the center line of the cone, the conic sections are classified into four types. They are a circle, parabola, ellipse, and hyperbola. Each type of conic section has a unique shape and properties.

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The first thing the surveyor did when he surveyed the new neighborhood was to reference the legal description of the property.

A legal description is a precise way of identifying and describing real estate in a manner that is legally sufficient to enable it to be transferred, sold, or mortgaged. Legal descriptions can take various forms, including metes and bounds, government rectangular survey, and lot and block descriptions.

In the case of Happy Acres, the surveyor created a lot and block survey for the new residential development. In this type of survey, the lots are identified by a number or letter, and the blocks are identified by a number.

This type of description is based on a recorded plat, which is a map or plan of a subdivision that has been legally recorded with the appropriate government agency.

Before creating the lot and block survey, the surveyor would have first referenced the legal description of the property, which would have provided the necessary information to accurately locate and describe the boundaries of the new development.

This legal description could have been obtained from various sources, including deeds, recorded plats, and other legal documents.

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Answer:

Frequency

Step-by-step explanation:

"A dot plot is a visual display in which each piece of data is represented by a dot above a number line, showing the frequency of each data value. The total number of dots in the plot is the total number of values in the data set. The data points must all be in the same units."

The six main criteria to define normality and abnormality include statistical infrequency, personal distress, others' distress, unexpected behavior, highly consistent/inconsistent behavior, and maladaptiveness/disability.

1. Abnormality as statistical infrequency: This criterion defines abnormality based on behaviors or characteristics that deviate significantly from the statistical norm.

2. Abnormality as personal distress: This criterion focuses on the individual's subjective experience of distress or discomfort. It considers behaviors or experiences that cause significant emotional or psychological distress to the person as abnormal.

For instance, someone experiencing intense anxiety or depression may be considered abnormal based on personal distress.

3. Abnormality as others' distress: This criterion takes into account the impact of behavior on others. It considers behaviors that cause distress, harm, or disruption to others as abnormal.

For example, someone engaging in violent or aggressive behavior that harms others may be considered abnormal based on the distress caused to others.

4. Abnormality as unexpected behavior: This criterion defines abnormality based on behaviors that are considered atypical or unexpected in a given context or situation.

For instance, if someone starts laughing uncontrollably during a sad event, their behavior may be considered abnormal due to its unexpected nature.

5. Abnormality as highly consistent/inconsistent behavior: This criterion involves comparing an individual's behavior to both their own typical behavior and the behavior of others. Consistent or inconsistent patterns of behavior may be considered abnormal.

For example, if a person consistently engages in risky and impulsive behavior, it may be seen as abnormal compared to their own usually cautious behavior or the behavior of others in similar situations.

6. It considers behaviors that are maladaptive, causing difficulties in personal, social, or occupational areas. For instance, someone experiencing severe social anxiety that prevents them from forming relationships or attending school or work may be considered abnormal due to the disability it causes.

The medical model and classification systems used in physical illnesses have both value and limitations when applied to psychological disorders. They provide a structured framework for understanding and diagnosing psychological disorders, allowing for standardized assessment and treatment. However, they can oversimplify the complexity of psychological experiences and may lead to overpathologization or stigmatization.

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Answer:

i tink it is store A

Step-by-step explanation:

because it has the large medium value.. hope this answer helpes you..

Answer:

the answer is B. Store B

The angle of polygons is an important concept in geometry and can be calculated using the formula (n-2) x 180. Quadrilaterals are a specific type of polygon with four sides and four angles, and their interior angles can be found by dividing the sum of the interior angles by the number of sides.

The angle of polygons is an important concept in geometry. A polygon is a closed shape with three or more sides, and the angles of a polygon are the interior angles formed by the sides. Quadrilaterals are a specific type of polygon with four sides and four angles.

To find the sum of the interior angles of a polygon, you can use the formula (n-2) x 180, where n is the number of sides. For example, a quadrilateral has four sides, so the sum of its interior angles would be (4-2) x 180 = 360 degrees.

Each individual angle of a quadrilateral can be found by dividing the sum of the interior angles by the number of sides. So for a quadrilateral, each angle would be 360/4 = 90 degrees.

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The area of the region bounded by the line x + y = 4 and the coordinate axes is calculated to be 8/3 square units.

The region bounded by the line x + y = 4 and the coordinate axes is a right triangle with vertices at (0,0), (4,0), and (0,4). To express the area of this region as an iterated double integral, we can integrate over the rectangle R = [0,4] × [0,4] and subtract the integral over the triangle T = {(x,y) : x + y ≤ 4}.

Thus, the area of the region is given by the double integral:

A = ∬R dA - ∬T dA

Since dA = dxdy, we can evaluate this as:

A = ∫0⁴ ∫0⁴ dxdy - ∫0⁴ ∫0⁴-x+y dxdy

Simplifying this, we get:

A = ∫0⁴ ∫0⁴-x dydx

Evaluating the inner integral first, we get:

A = ∫0⁴ (-x)(4-x) dx

Integrating this, we obtain:

A = ∫0⁴ (-4x + x²) dx = [-2x^2 + (1/3)x³]0⁴ = 8/3

Therefore, the area of the region bounded by the line x + y = 4 and the coordinate axes is 8/3 square units.

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Answer:

The answer is b

Step-by-step explanation:

The problems on scientific notation are solved as below.

Scientific notation is a way of expressing numbers which are way too large or way too small in a simpler form using exponents or decimals or both.

When adding or subtracting, convert the exponent part same for both numbers.

When multiplying, add the exponents and when dividing, subtract the exponents.

#1: 9 x 10-5 / 9.24 x 10-6 = (9 / 9.24) × 10⁽⁻⁵⁻⁻⁶⁾ = 0.974 × 10¹ = 9.74

#2: (5 x 10⁵) - (8 x 10⁴) = (50 × 10⁴) - (8 × 10⁴) = (50 - 8) × 10⁴ = 42 × 10⁴

#3: (5 x 10⁻⁷) - (3 x 10⁻⁹) = (500 × 10⁻⁹) - (3 × 10⁻⁹) = (500 - 3) × 10⁻⁹ = 497 × 10⁻⁹

#4: (7 x 10⁸) (9 x 10⁶) = (7 × 9) × 10⁸⁺⁶ = 63 × 10¹⁴

#5: (4 x 10⁶) - (2 x 10⁵) = (40 × 10⁵) - (2 × 10⁵) = (40 - 2) × 10⁵ = 38 × 10⁵ = 3800000

#6: 17 x 10⁸ / 4 x 10⁵ = (17 / 4) × 10⁸⁻⁵ = 4.25 × 10³ = 4250

#7: (9 x 10⁴) + (7 x 10) = (9000 × 10) + (7 × 10) = (9000 + 7) × 10 = 90070

#8: (6.24 x 10⁻²) + (7.1 x 10⁻³) = (62.4 × 10⁻³) + (7.1 × 10⁻³) = (62.4 + 7.1) × 10⁻³ = 69.5 × 10⁻³ = 0.0695

#9: (11 x 10⁴) (7 x 10²) = (11 × 7) × 10⁴⁺² = 77 × 10⁶

#10: 27 x 10⁴ / 10 x 10⁸ = (27 / 10) × 10⁴⁻⁸ = 2.7 × 10⁻⁴

#11: (7 x 10⁷) + (4 x 10⁶) = (70 × 10⁶) + (4 × 10⁶) = (70 + 4) × 10⁶ = 74 × 10⁶

Hence the problems related to scientific notation are solved.

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The solution to the system of equations is y equals 1. 5 x 4 and y equals negative x is-= (1.6,-1.6)

In this case option A is correct

The coordinates of the ordered pair (s) that satisfy all of the equations in the system are the solution set to a system of equations. To put it another way, those x and y values will make the equations true. As a result, when a system of equations is graphed, the intersection points of the graphs are the system's solution.

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What is the solution to the system of equations y equals 1. 5 x 4 and y equals negative x?.

Answer:

12 hours

its hard to explain soo..... you have to trust me on this one.

Answer:

12 hours.

Step-by-step explanation:

So the vacation spot is a total of 1,500 miles away.

We drove at an average speed of 50 miles per hour and we in total took 42 hours to get there.

So, let's find the number of hours that was spent driving.

Since we drove at 50 miles per hour, this means that this times the amount of hours x will equal to 1,500 miles total. In other words:

\(\frac{50\text{ mi}}{\text{hr}}\cdot x=1500\text{ mi}\)

Let's multiply both sides by 1hr/50 miles. So:

\((\frac{\text{hr}}{50\text{ mi}})\frac{50\text{ mi}}{\text{hr}}\cdot x=(\frac{\text{hr}}{50\text{ mi}})(1500\text{ mi})\)

The left cancels. Simplify the right:

\(x=\frac{1500\text{ hr}}{50}\)

Divide:

\(x=30\text{ hours}\)

So, a total of 30 hours was spend driving.

Since the whole trip took 42 hours, this means that the hours spend not driving was 42-30 or 12 hours.

Step-by-step explanation:

x/5 = 7/13      multiply both sides of the equation by to get

x = 5 * 7/13  =  35/ 13     then use calculator = ~  2.7

Answer:

7/13 = x/5 can be solved by cross-multiplication of the terms.

13*x = 5 *7

13x = 35

x = 35/13 = 2.69 = 2.7