Kerry scored a total of 205 points last season by making a total of 120 baskets. Some of the baskets were 1-point free throws (1), and the rest were 2-point field goals (g). Which pair of equations models this situation?​

Answer:

3192

3738

Step-by-step explanation:

So let’s say that 10 years is the variable B so your equation would be

B = 2100 x 5.2%

Well what is 5.2% of 2100

It is 109.2 and 109.2 x B + 2100 = the first question.

The answer is 3192

Now it is the same for the second one

Let C = 15 years

109.2 x C + 2100 = 3738

Answer:

Frank's pet store

Step-by-step explanation:

Assuming they want the most fish with 12 gallons, lets see how many we can get from each place

Sally's. 12/4 = 3

3 goldfish

Franks. 12/3 = 4

4* 4 = 16.

Frank's place can get you more fish

Answer:

135

Step-by-step explanation:

Answer:

The answer is D.

Step-by-step explanation:

I found this out because it is bigger then a 90 degree angle so tat takes out A. and B. because they are smaller then a 90 degree angle so that leaves D. because "RUP" is bigger then a 90 degree angle.

Answer:

The answer is -7, or x = -7.

The probabilities are given as

(a) P(x ≤ 0) ≈ 0.9535

(b) P(x ≥ -10) ≈ 0.9099

(c) P(-15 ≤ x ≤ -1) ≈ 0.9534

(d) P(-5 ≤ x ≤ 2) ≈ 0.1682

(e) P(|x - 7| ≥ 8) ≈ 0.0466

(f) The value of   x for which P(x ≤ x)is any real number.

To solve the given probability  problems,we'll use the standard normal distribution with mean μ = -7 and standard deviation σ = √14.

(a) P(x ≤ 0)  -

To find this probability, we need to calculate the cumulative distribution function (CDF) for x = 0 using the standard normal distribution.

Z = (x - μ) / σ = (0 - (-7)) / √14 ≈ 1.673

Using a standard normal distribution table or a calculator, we find that the corresponding cumulative probability for Z = 1.673 is approximately 0.9535.

Therefore, P(x ≤ 0) ≈ 0.9535.

(b) P(x ≥ -10)  -

Similarly, we need to calculate the CDF for x = -10.

Z = (x - μ) / σ = (-10 - (-7)) / √14 ≈ -1.3416

From the standard normal distribution table or calculator, we find that the corresponding cumulative probability for

Z = -1.3416 is approximately 0.0901.

However, we need to find the probability   of x being greater than or equal to -10,so we subtract the obtained probability from 1.

P(x  ≥ -10) = 1 - 0.0901= 0.9099.

(c) P(-15 ≤ x ≤ -1)  -

We calculate the CDF for x = -15 and x = -1 separately and find the difference between their probabilities.

For x = -15  -

Z = (x - μ) / σ = (-15 - (-7)) / √14 ≈ -3.8301

Using the standard normal distribution table or calculator, we find that the cumulative probability for

Z = -3.8301 is approximately 0.0000614.

For x = -1  -

Z = (x - μ) / σ = (-1 - (-7)) / √14 ≈ 1.673

Using the standard normal distribution table or calculator, we find that the cumulative probability for

Z = 1.673 is approximately 0.9535.

P(-15 ≤ x ≤ -1)

= 0.9535 - 0.0000614

≈ 0.9534.

(d) P(-5 ≤ x ≤ 2)  -

Using a similar approach as in part (c)  -

For x = -5  -

Z = (x - μ) / σ = (-5 - (-7)) / √14 ≈ 0.9428

The cumulative probability for Z = 0.9428 is approximately 0.8264.

For x = 2  -

Z = (x - μ) / σ = (2 - (-7)) / √14 ≈ 2.518

The cumulative probability for Z = 2.518 is approximately 0.9946.

P(-5 ≤ x ≤ 2) = 0.9946 - 0.8264

≈ 0.1682.

(e) P(|x - 7| ≥ 8)  -

We rewrite the inequality as two separate inequalities  -  x - 7 ≥ 8 and x - 7 ≤ -8.

For x - 7 ≥ 8  -

x ≥ 15

For x - 7 ≤ -8  -

x ≤ -1

Using the results from parts (a) and (c)  -

P(|x - 7| ≥ 8) = P(x ≥ 15) + P(x ≤ -1) = 1 - P(-15 ≤ x ≤ -1)

≈ 1 - 0.9534

≈ 0.0466.

(f) The value of x for which P(x ≤ x)  -

Since   the probability P(x ≤ x) is always 1,regardless of the value of x, the solution for this is any real number.

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Answer: The sum of three consecutive even integers is 24. The integers are 6 (from the x) , 8 (from the x + 2), and 10 (from the x + 4).

Step-by-step explanation:

(a) A 2 × 2 non-invertible matrix with no entries equal to zero:

Consider the matrix:

A = [[1, 1],

[2, 2]]

This matrix is non-invertible because the two rows are linearly dependent (the second row is twice the first row). Even though all entries are non-zero, the matrix is not invertible.

(b) A 2 × 2 matrix with determinant 4:

Consider the matrix:

B = [[2, 1],

[3, 2]]

The determinant of this matrix is calculated as:

det(B) = (2 * 2) - (1 * 3) = 4 - 3 = 1

To make a 2 × 2 matrix with determinant 4, we can multiply each entry of matrix B by 2:

C = [[4, 2],

[6, 4]]

The determinant of matrix C is:

det(C) = (4 * 4) - (2 * 6) = 16 - 12 = 4

(c) A 3 × 3 anti-symmetric matrix:

An anti-symmetric matrix is a square matrix where the transpose of the matrix is equal to the negation of the original matrix. An example of a 3 × 3 anti-symmetric matrix is:

D = [[0, -2, 3],

[2, 0, -4],

[-3, 4, 0]]

Note that each element in the matrix is the negation of the corresponding element in the transpose of the matrix.

(d) An upper triangular 4 × 4 matrix:

An upper triangular matrix is a square matrix in which all entries below the main diagonal are zero. An example of a 4 × 4 upper triangular matrix is:

E = [[1, 2, 3, 4],

[0, 5, 6, 7],

[0, 0, 8, 9],

[0, 0, 0, 10]]

All entries below the main diagonal (from top-left to bottom-right) are zero.

(e) A 3 × 4 matrix in reduced row echelon form:

A matrix in reduced row echelon form has the following properties:

All rows with all zero entries are at the bottom.

The leftmost non-zero entry (called the leading entry) of each non-zero row is 1.

The leading entry of each row is to the right of the leading entry of the row above it.

All entries above and below a leading entry are zero.

An example of a 3 × 4 matrix in reduced row echelon form is:

F = [[1, 0, 2, 0],

[0, 1, -3, 0],

[0, 0, 0, 1]]

In this matrix, the leading entries are the 1s in the first, second, and fourth columns, and all other entries above and below the leading entries are zero.

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Answer:

So, The answer would be 1=k

Step-by-step explanation:

My step is to make a T-chart, as u make it put X on one side and Y on the other

So what i did was i put 0 for both of them because it had start at 0

then i followed the line to the dot as i did that It has 6,6 so then i figured out what multiply all those number and the answer was 1=k

And another way you could do it was to make 6,6 and fraction like 6/6 then divde them both and get 1=k

So you would put the answer as 1

thats it Answer-1

MARK THE BRAINEST

Back with the braids.

Answer:

2 yards.

Step-by-step explanation:

If you do what was stated in the problem, you would be left at -2. So, you would need to move up 2 yards to get back to 0.

Answer:

He must move two yards to get back to zero.

Step-by-step explanation:

He started at 0.

Moved forward 5 on the number line which puts him at 5

Then he moved back 7 which puts him at -2 on the number line

So from -2 on the number line he has to move 2 spaces to the right to get back to 0.

Hope this helps!! And good luck!

Answer:

the answer is -2,-2

Step-by-step explanation:

Answer:

i like science because its combines one of my favorite subjects and turns it into logic.

For the given function f(x) = –5|x + 1| + 3 the value of x = 2, -4

To find the answer to this question, we will have to find the values of x where:

-5|x + 1| + 3 = -12

We can solve this equation for x to find the values of x that satisfy this equation.

-5|x + 1| + 3 = -12

Subtract 3 from both sides.

-5|x + 1| = -15

Divide both sides by -5.

|x + 1| = 3

Now here, the equation will split off into two different equations. These two are:

x + 1 = 3

x + 1 = -3

Lets solve the first one first.

x + 1 = 3

Subtract 1 from both sides.

x = 2

Now we solve the second one.

x + 1 = -3

Subtract 1 from both sides.

x = -4

So now we have the answers x = 2 and x = -4.

So the values of x are x = 2, -4

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The domain is the area enclosed by the circle, which is all the points inside the unit circle.

The domain of a function is the set of all possible input values (x, y) for which the function is defined and produces a valid output.

For f(x, y) = ln(25 − x2 − 25y2), the function is defined as long as 25 − x2 − 25y2 > 0. This is because the natural logarithm (ln) is only defined for positive numbers. To find the domain, we can set 25 − x2 − 25y2 > 0 and solve for x and y.

25 − x2 − 25y2 > 0

x2 + 25y2 < 25

x2 / 25 + y2 < 1

This is the equation of a unit circle centered at (0,0) with a radius of 1.

So the domain is the area enclosed by the circle, which is all the points inside the unit circle.

You can graph this on the x-y plane.

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Answer:

 hi! i know its 3 weeks late and sorry about that a-hole that called you an idiot! You certainly are not, and believe the answer was/is 16 over 4 or 16/4

Step-by-step explanation:

Answer:

Look down

Step-by-step explanation:

Two equations

x = Quarters

y = Nickles

25x + 5y = 355 -- 1

x + y = 27 -- 2

5x + 5y = 135 -- 2

20x = 200

x = 10

sub in 2

10 + y = 27

y = 17

x = 10

Quarters equal 10

Answer:

plug in the 2 for x so its 2^2+6 2^2 is 4 plus 6 is 10

Step-by-step explanation:

The conic section that formed when a plane intersects the central axis of a double-napped cone at a 90° angle is circle

When a plane intersects the central axis of a double-napped cone at a 90° angle, the resulting conic section is a circle.

To understand why this is the case, we can first consider the properties of a double-napped cone. A double-napped cone is formed by rotating a straight line, called the generatrix, around an axis that intersects the line at a fixed point, called the vertex. The resulting surface consists of two parts, each of which is a circular cone.

Now, let us imagine a plane that intersects the central axis of the double-napped cone at a 90° angle. Since the central axis of the cone is perpendicular to the base, the plane must intersect both cones at their widest point, which is also their center. At this point, the cone has a circular cross-section, which means that the plane intersects the cone in a circle.

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Answer:

circle

got it right on edg

The resultant answer to the given inequality is x ≤ -5/12 and the graph of the answer is shown.

So, solve the inequality as:

Now, plot x ≤ -5/12 on the graph as follows:

Therefore, the resultant answer to the given inequality is x ≤ -5/12 and the graph of the answer is shown.

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Therefore, Ramila's total income is Rs. 1,00,000 and her taxable income is Rs. 88,000. If she is unmarried, she needs to pay an annual tax of Rs. 10,560.

Percent is a way of expressing a number as a fraction of 100. It is denoted by the symbol "%". For example, 25% means 25 out of 100 or 0.25 as a decimal. Percentages are often used to express proportions, rates, and changes in values. They are commonly used in finance, economics, statistics, and many other fields.

Here,

Total Monthly Salary of Ramila = Rs. 60,000

Employee Contribution to Fund = 10% of Rs. 60,000 = Rs. 6,000

Employer Contribution to Fund = Rs. 6,000

Total Contribution to Fund = Rs. 6,000 + Rs. 6,000 = Rs. 12,000

Additional Allowances = Rs. 40,000

Gross Monthly Income = Total Monthly Salary + Additional Allowances

= Rs. 60,000 + Rs. 40,000

= Rs. 1,00,000

Taxable Income = Gross Monthly Income - Contribution to Fund

= Rs. 1,00,000 - Rs. 12,000

= Rs. 88,000

Annual Tax = Taxable Income * 12% (Assuming tax rate of 12%)

Annual Tax = Rs. 88,000 * 12/100

= Rs. 10,560

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The tendency to perceive meaningful patterns in random sequences of outcomes often leads us to underestimate the extent to which outcomes result from CHANCE .

The word "chance" describes unpredictability or the unexpected in relation to things like events that happen without a clear reason why and without human intention.

The conclusion is that chance is the tendency of people to recognize different kinds of significant patterns in a random order or sequence in addition to evaluating any kind of outcome. Because chance can also result in an underestimating of a system's conclusion or result, it is crucial to consider it when conducting an investigation.

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Answer:

3:1

Step-by-step explanation:

The women make up 1/2, the men 1/8 and the children 3/8. So the ratio of children to men is 3:1

Answer:

3

Step-by-step explanation:

80/2= 40= women

1/4 × 40= 10= men

40+10= 50 men and women

80-50= 30 children

30:10 simplified= 3:1

n=3

Answer:

Angle DEC = 82

Step-by-step explanation:

All the angles in a triangle added together will always equal 180. Look at the picture for all the work.

Check the picture below.

(a) The total number of ways to distribute the apples and pears subject to the conditions is = 135,124 ways.

(b) The total number of ways to distribute the apples and pears subject to the conditions is: 3 \times 10 \times \(3^7\) = 34,650 ways.

Combinatorics is a branch of mathematics that deals with counting and arranging the possible outcomes of different arrangements and selections of objects.

a) To distribute seven identical apples and six identical pears to three distinct people such that each person has at least one pear, we can use the principle of inclusion-exclusion. Let's denote the three people as A, B, and C.

First, we can distribute the six pears in\({6+3-1 \choose 6} = {8 \choose 6} = 28\) ways using stars and bars.

Next, we can distribute the seven apples to the three people without any restrictions, which can be done in \(3^7\) ways.

However, this overcounts the cases where one or more people receive no pears. There are \({3 \choose 1}\) ways to choose one person who does not receive a pear, and then \(2^7\) ways to distribute the apples among the remaining two people.

Similarly, this also overcounts the cases where two people receive no pears. There are \({3 \choose 2}\) ways to choose two people who do not receive a pear, and then \(1^7\) way to distribute the apples among the remaining person.

Finally, we need to add back the cases where all three people receive no pears, which is just one way (each person receives no pears).

Thus, the total number of ways to distribute the apples and pears subject to the conditions is:

\(28 \times - {3 \choose 1} \times + {3 \choose 2} \times - {3 \choose 3} \times = 135,124 ways.\)

b) To distribute seven distinct apples and six distinct pears to three distinct people such that each person has at least one pear, we can first choose the person who receives the remaining pear in \({3 \choose 1} = 3\) ways. Then we can distribute the pears in \({6-1 \choose 3-1} = {5 \choose 2} = 10\) ways, leaving one pear for the chosen person and distributing the other two pears among the remaining two people using stars and bars.

Next, we can distribute the seven distinct apples to the three people without any restrictions, which can be done in \(3^7\) ways.

Thus, the total number of ways to distribute the apples and pears subject to the conditions is:

\(3 \times 10 \times 3^7\) = 34,650 ways.

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Answer:

The total number of nails in Susan's box is 660 nails

Step-by-step explanation:

The given parameters are;

The number of small nails in John's box = 65

The number of medium nails in John's box = 40

The number of large nails in John's box = 45

The number of medium nails in Susan's box = 176

The ratio of the nails in John's box  is given as follows;

The ratio of small nails in John's box = 65/(65 + 40 + 45) = 13/30

The ratio of medium nails in John's box = 40/(65 + 40 + 45) = 4/15 = 8/30

The ratio of large nails  in John's box = 45/(65 + 40 + 45) = 3/10 = 9/30

Given that the proportion of the nails in John's box and Susan's box are the same, we have;

The ratio of medium nails in Susan's box =  8/30

Therefore;

Where the total number of nails in Susan's box = X, we have;

8/30 × X = 176

X = 176 × 30/8 = 660 nails

The total number of nails in Susan's box = 660 nails.

Using proportions, it is found that the total number of nails in Susan's box was 660.

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

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

Since the proportions are equal:

\(\frac{40}{150} = \frac{176}{x}\)

\(40x = 150\times176\)

\(x = \frac{150\times176}{40}\)

\(x = 660\)

The total number of nails in Susan's box was 660.

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