Catniss is saving money to take a trip to the Capitol with her sister. Every week, after taking out the $292 she nees for her weekely expenses, she sets aside the same portion of her paycheck. After 10 wekks , Catniss has $405.

Which equation can be used to represent the sitation?

To determine the probability of a student working 19 hours or less, we need to find the cumulative frequency of students working 19 hours or less.

From the data, the cumulative frequency of students working 19 hours or less is 40 + 50 = 90. The total number of students is 200. Therefore, the probability of a student working 19 hours or less can be calculated as:

P(working 19 hours or less) = cumulative frequency of students working 19 hours or less / total number of students

P(working 19 hours or less) = 90 / 200

P(working 19 hours or less) = 0.45

So, the probability of a student working 19 hours or less is 0.45 or 45%.

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Answer:

1.35

Step-by-step explanation:

10.80 divided by 8

n = 1.35

All the statements apply on parent function are,

⇒ Reflect the graph over the x-axis

⇒ Translate the graph to the left

Reflection is a type of transformation that flip a shape in mirror line, so that each point is the same distance from the mirror line as its reflected point.

We have to given that;

The function is,

⇒ g (x) = √ - 2x + 4

And, The parent function is,

⇒ f (x) = √x

Now, The parent function is,

⇒ f (x) = √x

After reflect the graph over the x-axis,

⇒ g (x) = √ - 2x

And, After translate the graph to the left,

⇒ g (x) = √ - 2x + 4

Thus, All the statements apply on parent function are,

⇒ Reflect the graph over the x-axis

⇒ Translate the graph to the left

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The expression 1,152 ÷ 4 determines the number of file folders in each box.

What is expression ?

Expression  is a sentence with a minimum of two numbers or variables and at least one operation. This operation can be addition, subtraction, multiplication, or division

The first step in finding out how many file folders were in each box is to perform the division 1,152 ÷ 4.

This division gives the number of file folders in each box by dividing the total number of file folders (1,152) by the number of boxes (4).

The expression 1,152 ÷ 4 determines the number of file folders in each box.

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When collect data, we can compare and contrast results. based on the results, Ammonia has the strongest base.

The following are some of the characteristics of ammonia:

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The candidate is an example of a nominal variable. Since candidates are identified through their names, the variable is qualitative in nature. Moreover, since names are all the voters have to go by, there is thus no inherent ordering in the candidates.

Nominal variable is a variable with the lowest level of measurement scale and can only be used for qualitative classification or categorization. That is, these variables can only be measured in terms of whether the characteristics of an object can be distinguished from other characteristics, but we cannot measure or even rank these categories.

For example, we can say that the genders of the 2 people are different, one is female and the other is male. Here we can distinguish the characteristics of the two, but we cannot measure and say which is "more" or which is "less" from the quality represented by the variable.

We can only assign codes/labels to these two characteristics, for example the number 0 for women and the number 1 for men. The code/number label can be exchanged. The code there only serves as a differentiator between the two objects and does not indicate order or continuity. The number 1 does not indicate higher or better than 0.

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The statement "H'(7.5) = 15.708" means that the rate of change of the height of the passenger on the Ferris wheel at 7.5 minutes after the ride begins is 15.708 meters per minute.

The statement H'(7.5) = 15.708 is an interpretation of the derivative of the function H at time 7.5 minutes. The derivative of a function represents the rate of change of the function, and it is calculated by taking the limit of the ratio of the change in the function to the change in its independent variable (in this case, time). H'(7.5) represents the rate of change of the height of the passenger at 7.5 minutes into the ride. The value of 15.708 means that the height of the passenger is increasing by 15.708 meters per minute at 7.5 minutes into the ride.

At 7.5 minutes into the ride, the passenger's height is changing at a rate of 15.708 meters per minute. This means that the passenger is moving upward at a speed of 15.708 meters per minute at this particular time. The derivative of a function at a specific point gives us the rate of change of the function at that point, and in this case, it gives us the speed at which the passenger's height is changing at 7.5 minutes into the ride.

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Answer: Noted

Step-by-step explanation: do not p$ss off boss

The sequence as shown is a geometric sequence.

We know that the geometric sequence is the kind of sequence in which there is the common ratio. We can tell that for the geometric sequence we have;

U(n) = Tr^n-1

Where T is the first term and then r is the common ration while n is the number of terms.

Given the fact that we have the terms in the sequence as 81, 27, 9, 3, 1. We can see that the common ratio of the sequence is given as;

r =  T2/T1 = 27/81

1/3

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The degree of the polynomial that best describes the data is (c) cubic

From the question, we have the following parameters that can be used in our computation:

See attachment

Find the first dfference D1 between the consecutive y-values

D1:   10     28.4     56.4    94

Calculate the second difference

D1:   18.4     28     37.6

Calculate the third difference

D3:   9.6     9.6

The third difference are equal

Hence, the degree is (c) cubic

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Answer:

21.62%

Step-by-step explanation:

trucks needed maintenance = 8

truck's pool = 37

%age of the trucks needed maintenance

= (8 / 37) * 100

= 21.62%

Answer:

if f and g are functions such that f+g is continuous, at least one of f or g must be continuous.

Step-by-step explanation:

The interest will he be paid in the first six years is $360.

Simple interest is the cost of borrowing money that does not take compounding into consideration. In other words, just the principal is affected by simple interest.

Formula: (P x R x T)/100

Given:

P= $3000

R= 2%

T = 6 years

Using Simple interest

= (P x R x T)/100

= ( 3000 x 2 x 6)/100

= 30 x 2 x 6

= $360

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Allow flyers using racial slurs is not one of the EDI initiatives discussed in the case.

The EDI initiatives discussed in the case include creating an inclusive community where all students thrive, establishing goals to retain underrepresented groups, and implementing a 12-week training program. To create an inclusive community, the school administration must first determine the current state of the campus environment. This can be done through surveys and focus groups, which allow the administration to identify what areas need improvement and how best to address them. Establishing goals to retain underrepresented groups involves setting specific goals for the recruitment and retaining of underrepresented groups, such as increasing the number of faculty or students from underrepresented groups. Finally, implementing a 12-week training program requires developing an educational program to teach students about diversity, equity, and inclusion, and providing the necessary resources to ensure that these lessons are successfully implemented.

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K * K > N, because if the square of K is greater than N, it is not possible to add K distinct odd integers to get N.

If you square an integer (multiply it by itself), the result will always be an even number. If K is an odd number, then K * K will be an odd number plus one, which makes it even.

For example, if K = 3, then K * K = 9, which is an even number. If we take the square root of 9, we get 3, which is K. This means that the square of K will always be greater than K itself.

Now, if we want to add K distinct odd integers to get N, then N must be greater than K * K. This is because the sum of K odd numbers will always be less than K * K, and we need N to be greater than this sum.

Therefore, if K * K > N, it means that it is not possible to add K distinct odd integers to get N, because N is smaller than K * K, and the sum of K odd numbers will be smaller than N.

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Answer:

Step-by-step explanation:

The expression √3 × √5 × √6​ is equivalent to the expression 3 × √10. Then the correct option is B.

What is an equivalent expression?

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ √3 × √5 × √6​

Simplify the expression, then the value of the expression will be given as,

⇒ √3 × √5 × √(3 ×2)

⇒ √3 × √5 × √3 × √2

⇒ 3 × √(5 × 2)

⇒ 3 × √10

The articulation √3 × √5 × √6 is comparable to the articulation 3 × √10. Then, at that point, the right choice is B.

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Answer: 3√2

Step-by-step explanation: I just took the test

Answer:

1/64

Step-by-step explanation:

There is a 1/2 chance of getting heads each time, so you multiply 1/2 by itself 6 times

1/2*1/2*1/2*1/2*1/2*1/2 =

Answer:

Student Ethan chose three lengths that could form a triangle.

Step-by-step explanation:

In order for three lengths to form a triangle, the sum of the lengths of the two shortest sides must be greater than the length of the longest side. In this case, 10 cm + 16 cm > 24 cm, and so the three lengths chosen by Ethan can form a triangle.

Answer: Ethan would be it

Step-by-step explanation: I took the k12 TFAR.

Answer:

ANSWER IS B

Step-by-step explanation:

The area of the triangle is approximately 33.8 square units.

Heron's formula is applicable to all types of triangles. Heron's formula is used to compute the area of a triangle, and every sort of triangle in the world has an area.

So, if the three sides of a triangle are known, Heron's formula may be used to directly determine the area.

We can use the Law of Cosines to find the third side of the triangle, then use Heron's formula to find the area.

First, we find the third side, c:

c^2 = a^2 + b^2 - 2ab * cos(C)

c^2 = 2^2 + 6^2 - 2 * 2 * 6 * cos(127)

c = sqrt(40 - 24 * cos(127))

Next, we use Heron's formula to find the area of the triangle:

s = (a + b + c) / 2

area = sqrt(s * (s-a) * (s-b) * (s-c))

area = sqrt((7.82 + 3) * (7.82 - 2) * (7.82 - 6) * (3))

area = sqrt(45.82 * 5.82 * 1.82 * 3)

area = sqrt(1138.3916)

area = 33.75

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The puzzle method takes in an int x and returns an int based on its parameter x. If x is greater than 20, then the method will return x - 10.

The puzzle method takes in an int x and returns an int based on its parameter x. The formula for this method is as follows:

If x > 20, then the method will return x - 10.

For example, if x is 30, then the method will return 30 - 10 = 20.

The calculation for this method can be seen in the following example.

If x is 30, the calculation would be as follows:

30 > 20

30 - 10 = 20

Therefore, the method will return 20.

In conclusion, the puzzle method takes in an int x and returns

an int based on its parameter x. If x is greater than 20, then the method will return x - 10. The formula and calculation for this method can be seen in the example provided.

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Complete question:

What is the formula and calculation for the puzzle method that returns an int based on its parameter x?

The measures of side lengths of triangle are 10 feet, 15 feet and 20 feet.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given that perimeter of a triangle is 45 feet.

ratio of the lengths of the three sides is 2:3:4

We have to find the measure of each side.

Let us consider the side lengths are 2x, 3x, and 4x.

2x+3x+4x=45

Add the like terms

9x=45

Divide both sides by 9

x=5

Side lengths are 2x = 2×5 = 10 feet,

3x = 3× 5 = 15 feet, and 4x = 4 ×5 = 20 feet.

Hence, the measures of side lengths of triangle are 10 feet, 15 feet and 20 feet.

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The height of the cylinder with radius of 7 yards and given volume of 2,923.34 cubic yards is calculated as; h = 19 yards

A cylinder is defined as a 3D solid shape that consists of two identical and parallel bases linked by a curved surface.

Now, the formula to find the volume of a cylinder is;

V = πr²h

where;

r is radius

h is height

V is volume

The parameters are;

Radius; r = 7 yards

Volume; V = 2923.34 cubic yards

Thus;

2923.34 = π * 7² * h

h = 2923.34/(49π)

h = 19 yards

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Frank's expected utility of wealth function if he takes the bet is U(w) = $1,000,000 + p(ln($100,000)) + (1-p)(ln($900,000)). If Frank accepts the bet, the probability p must be greater than or equal to 0.8.

a) Frank's expected utility of wealth if he takes the bet is U(w) = $1,000,000 + p(ln($100,000)) + (1-p)(ln($900,000))

b) If Frank rejects the bet, his utility of wealth will be U(w) = ln($1,000,000)

c) U(w) = $1,000,000 + p(ln($100,000)) + (1-p)(ln($900,000)) ≥ ln($1,000,000)

p(ln($100,000)) + (1-p)(ln($900,000)) ≥ ln($1,000,000) - $1,000,000

p(ln($100,000)) + (1-p)(ln($900,000) - ln($1,000,000)) ≥ -$1,000,000

p(ln($100,000) - ln($1,000,000)) + (1-p)(ln($900,000) - ln($1,000,000)) ≥ -$1,000,000

p(ln($100,000/$1,000,000)) + (1-p)(ln($900,000/$1,000,000)) ≥ -$1,000,000

p(ln(0.1)) + (1-p)(ln(0.9)) ≥ -$1,000,000

p(ln(0.1)) ≥ -$1,000,000 - (1-p)(ln(0.9))

p ≥ (-$1,000,000 - (1-p)(ln(0.9)))/(ln(0.1))

p ≥ -$1,000,000/(ln(0.1)) - (1-p)(ln(0.9))/ln(0.1)

p ≥ 0.8

d) If Frank's utility of wealth function was less curved, i.e. closer to a straight line, the bound from (c) would be larger. This is because, with a less curved utility of wealth function, Frank would be less risk-averse and therefore more likely to accept the bet.

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5.8 is the median of  6 feet, 5.8 feet, 5.5 feet, 6 feet, and 5.7 feet heights

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The median of a set of numbers is the middle value when the values are arranged in order from smallest to largest.

The heights of Ross, Matt, Martin, Jonah, and Jared are:

5.5, 5.7, 5.8, 6, 6

Arranged in order from smallest to largest, the middle value is 5.8 feet, so the median height of the five individuals is 5.8 feet.

Hence, 5.8 is the median of  6 feet, 5.8 feet, 5.5 feet, 6 feet, and 5.7 feet heights

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The mean of the data-set is given as follows:

E(X) = 1.8.

The standard deviation of the data-set is given as follows:

S(X) = 1.

The mean is given by the sum of all the outcomes multiplied by their respective probabilities, hence:

E(X) = 0 x 0.04 + 1 x 0.43 + 2 x 0.29 + 3 x 0.18 + 4 x 0.05 + 5 x 0.01

E(X) = 1.8.

The standard deviation is given by the square root of the sum of the difference squared between each outcome and the mean, multiplied by their respective probabilities, hence:

S(X) = sqrt[(0 - 1.8)² x 0.04 + (1 - 1.8)² x 0.43 + (2 - 1.8)² x 0.29 + (3 - 1.8)² x 0.18 + (4 - 1.8)² x 0.05 + (5 - 1.8)² x 0.01]

S(X) = 1.

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Answer: 22 divided by 40 would equal 0.55.

Answer:

Here's the graph. If you want just go onto desmos and write y=-x-2 and it'll be there as well.

Step-by-step explanation:

Two negative angles in radians are -π/2 and -π.

To find the points that correspond to these angles, we can use the formula: (cos θ,sin θ). For -π/2, this yields (0, -1) and for -π, this yields (-1, 0).Two negative angles in radians are -π/2 and -π.

Three positive angles in radians are 0, π/4 and π/2. For 0, the point is (1, 0); for π/4, the point is (0.707, 0.707); and for π/2, the point is (0, 1). To calculate these points, we can use the same formula, (cos θ,sin θ). For 0, this yields (1, 0); for π/4, this yields (cos π/4, sin π/4) = (0.707, 0.707); and for π/2, this yields (0, 1).

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The area of the walkway around the garden as the sum of two terms is,  2(w + l) = 2(8x + 21).

An area is total space occupied by two-dimensional or flat surfaces. In other words we can say that it is a number of unit squares present in a closed figure. We use various units for measurement of area like, cm², m², ft², mm².

Let's call the width of the garden w and the length of the garden l.

Then, the area of the garden is,

wl = 6(2.5x + 1.5).

The combined area of the garden and the walkway is 7.5(4x + 5).

We can write this as wl + 2(w + l), since the walkway goes around the perimeter of the garden.

Equating the two expressions for the combined area, we have:

wl + 2(w + l) = 7.5(4x + 5)

Substituting wl = 6(2.5x + 1.5), we get:

6(2.5x + 1.5) + 2(w + l) = 7.5(4x + 5)

Expanding both sides, we get:

15x + 9 + 2w + 2l = 30x + 37.5

Solving for w + l, we get:

w + l = 15x + 28.5 - 7.5 = 8x + 21

So the area of the walkway around the garden can be expressed as 2(w + l) = 2(8x + 21).

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