A person is $1000 on the credit card that charges an interest rate of 2% per month complete the table showing the car to balance each month if you do not make any payments

A student's probability of having a sister are 1/2 or 0.5 if they do not have a brother.

Using the above data table, we must determine the likelihood that a student without a brother also has a sister. Analysing the table now

has a sibling: 5

possesses no sisters: 2

has an 18-year-old brother

possesses no brothers: 4

We are looking for the likelihood that a student has a sister and neither a brother (as indicated by the statement "Does not have a brother"). In this instance, there are two children who do not have a brother but do have a sister, making that number the number of positive outcomes.

No matter whether a student has a sister or not, the total number of outcomes is equal to the number of students who do not have a brother. According to the table, there are 4 students without brothers.

As a result, the likelihood that a student who doesn't have a brother will have a sister can be determined as follows:

Probability is calculated as the ratio of the number of favourable outcomes to all possible outcomes.

Probability equals 2/4

Probability equals 0.5 or half.

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Answer:

yes

84

Step-by-step explanation:

Answer:

yes, 84 pounds

Step-by-step explanation:

4 red balls would be 24 pounds

6 blue would be 60 pounds

The solutions of the inequality \(2x^{2} + x - 6 = 0\) are 3/2, -2. This can be found by using the Quadratic Formula, which states that for any quadratic equation of the form \(ax^{2} +bx + c = 0\), the solutions are \(x = -b +/-\sqrt{b^{2} -4ac} /2a\).

Discriminant: b² - 4 a c = 1 - 4(2)(-6) = 1 + 48 = 49

Solution 1: x = \(-b + \sqrt{b^{2} -4ac} /2a\) = (-1 + √49)/(2×2) = (-1 +7)/4 = 6/4 = 3/2

Solution 2: x = \(-b-\sqrt{b^{2} -4ac} /2a\)= (-1 - √49)/(2×2) = -8/4 = -2

So, the two solutions are 3/2 and -2.

The equation can also be written as,

\(2x^{2} +4x -3x-6=0\)

\(2x(x+2) -3(x+2) = 0\)

\((2x-3)(x+2) = 0\)

x = 3/2, -2

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The required radius of the cylindrical can is 4 millimeters.

A cylinder is a three-dimensional solid in mathematics that maintains, at a given distance, two parallel bases connected by a curving surface. These bases often have a circular form (like a circle), and a line segment known as the axis connects the centers of the two bases.

Given that,

The height of the cylinder h  = 12 cm.

And volume of the cylinder v = 600 mL

Since, 1 mL = cm³

The volume v = 600 cm³.

Let radius of cylinder is r,

To find the radius, use formula,

Volume of cylinder V = π x r² x h

22/7 x r² x 12 = 600

22/7 x r² = 50

r² = 350 / 22

r² = 15.909

r = 3.98

or r =  4 millimeters.

The radius of the cylinder is 4 millimeters.

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Answer:

x=12

Step-by-step explanation:

move the 3 to the other side to get x by itself.

check: 12 + 3 = 15

Answer:

(Not sure)

x = 12

Step-by-step explanation:

x + 3 = 15

CLT

X = 15-3

× = 12

The quadrilateral that has four congruent sides is option D. square. A square is a special type of rectangle and rhombus, characterized by having all four sides of equal length.

A parallelogram (option A) is a quadrilateral with opposite sides that are parallel. While the opposite sides of a parallelogram are congruent, it does not guarantee that all four sides are equal.

A rectangle (option B) is a quadrilateral with four right angles. While opposite sides of a rectangle are congruent, it does not necessarily have four congruent sides unless it is also a square.

A rhombus (option C) is a quadrilateral with all sides of equal length. While a rhombus does have four congruent sides, it is not the only quadrilateral with this property.

Therefore, among the given options, the quadrilateral that has four congruent sides is the square (option D).

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Answer:5

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Each pizza Remy can feed 4 people.

Remy has 5 pizzas.

4x5=20

Answer:

Store 1

Step-by-step explanation:

store 2. tv is 250

250+25%

250+62.50=312.50

The perpendicular distance of point 7 and point 2 from y-axis is 7 and 2, respectively.

The perpendicular distance of any point from the y-axis is the x-coordinate of the point. In the case of point 7 and point 2, their respective x-coordinates are 7 and 2. Therefore, the perpendicular distance of point 7 and point 2 from the y-axis can be calculated by using the formula d = |x|, where d is the perpendicular distance and x is the x-coordinate of the point.

By substituting the x-coordinates for point 7 and point 2, we get the perpendicular distance of point 7 from y-axis is d1 = |7| = 7 and the perpendicular distance of point 2 from y-axis is d2 = |2| = 2.

Therefore, the perpendicular distance of point 7 and point 2 from y-axis is 7 and 2, respectively.

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Answer:

yeah I can do that for you

[1] H 2.4

    Let us turn the pictures into equations, using the key given. Then, we will solve.

x + x + \(\frac{1}{4}\)x + 1 + 1 + 1 = x + x + x + \(\frac{1}{2}\)x

2x + \(\frac{1}{4}\)x + 3 = 3x + \(\frac{1}{2}\)x

\(\frac{9}{4}\)x + 3 =  \(\frac{7}{2}\)x

3 = \(\frac{5}{4}\)x

x = 2.4

[2] J

    We can tell the first two options are incorrect because there was a change in size, not position.

    Option H would make the shape bigger, but it becomes larger. This means the answer is option J.

Answer:

7.5

Step-by-step explanation:

the answer to your question is 7.5

Step-by-step explanation:

\(average = \frac{a + b}{2} \)

So

\( \frac{5 + 9}{ 2} = \frac{14}{2} = 7\)

Answer:

84cm^2

Step-By-Step Explanation:

Two triangles' area: 4×3÷2x2 = 12cm^2

The widest rectangle's area: 5×6 = 30cm^2

The rectangle facing the left's area: 4×6 = 24cm^2

The rectangle facing the ground's area: 3×6 = 18cm^2

Total Surface Area: 12+30+24+18 = 84cm^2

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In the next step of factoring the polynomial, the common factors used should be (10x + 3) (x² - 2).

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics.

The numbers that can divide perfectly without leaving a remainder are those that can be used as factors of two or more numbers. The term "factor" refers to a number that can divide another number perfectly, leaving zero as the undivided result. We see that some factors are the same or frequent when we compare the factors of two or more integers. These elements are referred to as common factors.

Regrouping the terms given into two proportional parts:

(10 + x³ + 3x²) + (-20x - 6)

Factor the expression : x² (10x + 3) - 2(10x+3)

Factor the expression : (10x+3) (x² -2)

Therefore, in the next step of factoring the polynomial, the common factors used should be (10x + 3) (x² - 2).

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Answer:

If it is less than 3, Player 1 earns 3 points.

If not, Player 2 earns 2 points.

Step-by-step explanation:

Player 1 :

p(N < 3) = p(N = 1 or N = 2) = 2/5

Player 2 :

p(N ≥ 3) = p(N = 3 or N = 4 or N = 5) = 3/5

We notice that :

p(N < 3) × 3 = (2/5) × 3 = 6/5

On the other hand,

p(N ≥ 3) × 2 = (3/5) × 2 = 6/5

since ,the probability player 1 win multiplied by the associated number of points (3)

is equal to

the probability player 2 win multiplied by the associated number of points (2).

Then the game is fair.

Answer:

The last scoring rule makes a fair game

If card value is less than 3, Player 1 earns 3 points. If not, Player 2 earns 2 points.

Step-by-step explanation:

This is a question which relates to probabilities, complementary probabilities and expected outcomes

Since there are 5 cards in total and only 1 card is picked, the probability of picking a card is the same i.e. 1/5 = 0.2 since each card is identical and therefore has the same likelihood of being drawn

Let's go through each of the rules, find the associated outcomes and probabilities of each of the outcome

The attached table shows a summary of all the possible outcomes of each rule, the probabilities associated with it, the complement of the rule, the complement probability, expected payoffs and who has the advantage for each rule

As an example, take the first row relating to the first rule:
If value of card is greater than 2, Player 1 earns 2 points. If not, Player 2 earns 2 points.

If the value is greater than 2 then the value is either {3, 4 or 5}. There are 3 possible outcomes out of a total of 5 so,

P(card value > 2) = P(3, 4, 5) = 3/5 = 0.6   and Player 1 gets 2 points so the expected value = 0.6 x 2 = 1.2 EP(P1

The complement of this event is

card value <=2 ie card value is either 1 or 2 ie 2 possible out of 5
P(card value <=2) = P(1,2) = 2/5 = 0.4
Note that this probability is 1 - P(card value > 2) = 1- 0.6 = 0.4

If so, Player 2 gets 2 points and his/her expected payoff is 0.4 x 2 = 0.8 EP(P2)

Since EP(P1) > EP(P2) this rule gives player 1 an advantage and therefore not a fair game

The other rows of the table can be interpreted the same way. Essentially we are looking for a rule that gives both players the same expected payoff and therefore each player has the same chance of winning

The table shows that the last rule is the fairest

Answer:

C≈157.08in

Step-by-step explanation:

C=2πr=2·π·25≈157.07963in

Answer:

1139

Step-by-step explanation:

The exponential growth rate formula is as follows:

F = A(1+r)^t, with F representing the final amount, a representing the initial amount, r representing rate, and t representing time. Here, we have

A = 100, r = 50% = 0.5 (divide 50% by 100 to convert it to a decimal), and t = 6. Plugging these in, we get

F = 100(1+0.5)^6 = 1139

26.27 kgm⁻³

Density is the ratio of  mass to volume

Density = Mass / Volume

Let us assume tree is a cylinder,

d= 1

r = d/2 = 0.5 m

h= 20 m

m= 420kg

Volume = π r²h

              = 22/7 x o.25 x 20

Density = mass / volume

              = 420 / 22/7 x o.25 x 20

              = 26.27 kgm⁻³

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Answer:

(a+2)/(a-1)

Step-by-step explanation:

[(a^2+5a+6)/(a^2-1)]/[(a^2-9)(a^2-2a-3)]

[(a^2+5a+6)/(a^2-1)]*[(a^2-2a-3)(a^2-9)]

[(a^2+3a+2a+6)/(a-1)(a+1)]*[(a^2-3a+a-3)/(a-3)(a+3)]

[a(a+3)+2(a+3)/(a-1)(a+1)]*[(a(a-3)+1(a-3)/(a-3)(a+3)]

[(a+2)(a+3)/(a-1)(a+1)]*[(a+1)(a-3)/(a-3)(a+3)]

=(a+2)/(a-1)

The correlation coefficient between the number of questions right and the number of questions wrong is -2.

The correlation coefficient measures the strength and direction of the linear relationship between two variables. In this case, the variables are the number of questions right and the number of questions wrong for each student.

To calculate the correlation coefficient, you need to have data for both variables for each student. Let's assume we have the following data for three students:
Student 1: 8 right, 2 wrong
Student 2: 5 right, 5 wrong
Student 3: 2 right, 8 wrong
Step 1: Calculate the mean of the number of questions right (meanX) and the mean of the number of questions wrong (meanY). In our example:
meanX = (8 + 5 + 2) / 3 = 5
meanY = (2 + 5 + 8) / 3 = 5
Step 2: Calculate the deviations from the mean for both variables. This is done by subtracting the mean from each individual value.
For student 1:
deviationX = 8 - 5 = 3
deviationY = 2 - 5 = -3
For student 2:
deviationX = 5 - 5 = 0
deviationY = 5 - 5 = 0
For student 3:
deviationX = 2 - 5 = -3
deviationY = 8 - 5 = 3
Step 3: Calculate the product of the deviations for each student.
For student 1:
product of deviations = deviationX * deviationY = 3 * -3 = -9
For student 2:
product of deviations = deviationX * deviationY = 0 * 0 = 0
For student 3:
product of deviations = deviationX * deviationY = -3 * 3 = -9
Step 4: Calculate the sum of the product of deviations.
sum of products of deviations = (-9) + 0 + (-9) = -18
Step 5: Calculate the standard deviation of the number of questions right (sdX) and the standard deviation of the number of questions wrong (sdY). This is done by taking the square root of the sum of the squares of the deviations from the mean divided by the number of data points minus 1.
In our example:
sdX = √[((3^2) + (0^2) + (3^2)) / (3 - 1)] = √[(9 + 0 + 9) / 2] = √[18 / 2] = √9 = 3
sdY = √[((-3^2) + (0^2) + (3^2)) / (3 - 1)] = √[(9 + 0 + 9) / 2] = √[18 / 2] = √9 = 3
Step 6: Calculate the correlation coefficient (r). This is done by dividing the sum of the product of deviations by the product of the standard deviations.
In our example:
r = sum of products of deviations / (sdX * sdY) = -18 / (3 * 3) = -18 / 9 = -2
The correlation coefficient between the number of questions right and the number of questions wrong is -2. The negative sign indicates a negative linear relationship, meaning that as the number of questions right increases, the number of questions wrong decreases, and vice versa.

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Answer:

The volume of the cylinder is smaller than the rectangular prism.

Step-by-step explanation:

\(6 \times (3 + 8) \\ = (6 \times 3) + (6 \times 8)\)

Answer:

(6×3)+(6×8)

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

A.32.10

Step-by-step explanation:

You have to remember to subtract the $35 then start to figure out how much he paid every month for a year.

The  approximate arclength of the curve is L ≈ 34.179 units.

To find the arclength of the curve, we need to integrate the magnitude of the curve's derivative with respect to t over the given interval [1, 10].

The derivative of r(t) is:

r'(t) = < 4t, 2*sqrt(2), 1/t >

The magnitude of r'(t) is:

|r'(t)| = sqrt((4t)^2 + (2*sqrt(2))^2 + (1/t)^2) = sqrt(16t^2 + 8 + 1/t^2)

Thus, the arclength of the curve is given by:

L = ∫[1,10] |r'(t)| dt
 = ∫[1,10] sqrt(16t^2 + 8 + 1/t^2) dt

This integral cannot be evaluated in terms of elementary functions, but we can approximate it using numerical methods. One approach is to use Simpson's rule, which approximates the integral as:

L ≈ ∆t/3 * [f(1) + 4f(3) + 2f(5) + ... + 4f(9) + f(10)]

where ∆t = (10 - 1)/n is the step size and f(t) = sqrt(16t^2 + 8 + 1/t^2). Using n=100, we get:

L ≈ 34.179

Therefore, the approximate arclength of the curve is L ≈ 34.179 units.

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