Milo pays $3 per pound for dog food at Pat's pound of food at Mark's Mutt Market. At which Palace. The graph below represents the cost per store will Milo pay a lower price per pound for dog food?

The height of the flagpole will be 9.25 m to the nearest hundredth of a meter.

It is defined as the branch of mathematics that is concerned with the size, shape, and orientation of two-dimensional figures.

Given that, after moving a mirror with an X in the middle to a level position on the ground 8.85 metres away from the flagpole.

The top of the flagpole is then plainly indicated in the X as she moves 1.1 metres to the opposite side of the mirror. Her companion calculates that there are 1.15 metres between her eyes and the ground.

From the similarity of two triangle,

1.15 / h = 1.1 / 8.85

1.1 h = 1.15 × 8.85

1.1 h = 10.1775

h = 9.25 m

Thus, the height of the flagpole will be 9.25 m to the nearest hundredth of a meter.

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The percentage of data between 13.8 and 30.2 in a normally distributed data set with a mean of 22 and a standard deviation of 4.1 is approximately 94.19%.

To solve this problem, we can first standardize the values of interest using the standard normal distribution formula, z = (x - μ) / σ, where x is the value of interest, μ is the mean, and σ is the standard deviation.

For the lower value of 13.8, we have z = (13.8 - 22) / 4.1 = -1.95. For the upper value of 30.2, we have z = (30.2 - 22) / 4.1 = 2.05.

Next, we can use a calculator to find the area between these two z-scores. Alternatively, we can use the complement rule to find the area to the left of -1.95 and the area to the right of 2.05, and subtract their sum from 1.

Using a calculator, we find that the area between -1.95 and 2.05 is approximately 0.9419 or 94.19%. Therefore, approximately 94.19% of the data falls between 13.8 and 30.2 in this normally distributed data set.

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Answer:

{7,9,10}

Step-by-step explanation:

(A U B) ∩ (A ∩ B)

(A U B): {1,3,7,9,10} U {2,5,7,8,9,10}​ = {1,2,3,5,7,8,9,10}

(A ∩ B): {1,3,7,9,10} ∩ {2,5,7,8,9,10}​ = {7,9,10}

(A U B) ∩ (A ∩ B): {1,2,3,5,7,8,9,10} ∩ {7,9,10} = {7,9,10}

8 teams will remain in the 4th round of the tournament.

It is given that there are total of 64 teams in the tournament. Each team plays only 1 game per round. The winning team advances to the next round and the losing team gets eliminated and since a game is played between 2 teams, This means for the first round, total number matches are 32 and only 32 teams goes to Round 2.

⇒64 ÷2 = 32

Similarly , for Round 2 there are only 16 matches between 32 teams. If we keep repeating the same process for  Round 3 and Round 4 , we get :

⇒32 ÷ 2 = 16

⇒16 ÷ 2  = 8

Therefore, only 8 teams will remain for the 4th Round of the tournament.

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Answer:

X= 70º and Y= 60º

Step-by-step explanation:

Looing at the Triangles, those lines represent that the angles of the other side are equal.

In this case we have an Isosceles triangle and a Equilateral.

We got the angle of 55º and since it is Isosceles we get another 55º getting us 110º.

In a Triangle there is 180º so that would leave x as 70º.

Because there is one solid line for the smaller triangle, this states that it is a equilateral and thus makes y be 60º.

Answer:

I think it would be (25) + 27

Step-by-step explanation:

im srry if its wrong im bad at math but i hope this helped!

The angular speed is 0.233 radian per second.

What is angular speed?

Angular speed is defined as the rate of change of angular displacement, and it is expressed as follows: ω = θ t where θ is the angular displacement, t is the time and ω is the angular speed.

given radius = 24 feet

distance covered = 5.6

First we will find the circumference

= 2πr

=48π

Time = 48π/5.6 = 26.91

Angular speed = 2π/TIME

=2π/26.91

= 0.233

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Step-by-step explanation:

Answer is case 1st:

P(of white button) = 9/13

P(of black button) = 4/12

Case 2nd

P(of black button) = 4/13

P(of white button) = 9/12

Explanation

Given: A Question

To find: Probability

Solution :Case 1st

If carol takes the first button is white

P(of picking a white button) = 9/13

And

P(of picking a black button) = 4/12

Case 2nd

If carol takes the first button is black

So, P(of picking a black button) = 4/13

And P( of picking a white button) = 9/12

Based on mathematical operations, after his first year at college, Steven will have $12,000 left.

The remaining amount that Steven has after the first year is determined using addition and subtraction.

Addition and subtraction are two of the four basic mathematical operations, including division and multiplication.

Steven's savings towards college = $5,000

Parents' savings towards Steven's college = $25,000

Total savings = $30,000

Car purchase = $4,000

Tuition, room, and board per year = $11,500

Various expenses per year = $2,500

Total expenses for the first year = $18,000 ($4,000 + $11,500 + $2,500)

Thus, the amount Steven has left after the first year = $12,000 ($30,000 - $18,000).

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Answer:

It's perpendicular

Step-by-step explanation:

Well, normally you would have two equations. But in this case it is perpendicular to the x-axis. You must first solve for y and you'll get the answer:

y=3/4x+8

Then you plug numbers into the equation and graph them onto a graph. It'll be perpendicular to the x-axis.

Answer:

del

Step-by-step explanation:

d

Answer: x=-1

Step-by-step explanation:

You'll have to expand the numbers in the brackets then simplify it to get your answer.

Answer:

t = 3 hours, therefore it cannot be 4 hours

Step-by-step explanation:

Divide the miles traveled by the rate you traveled. This will find the time it took to travel.

180/60 = 3

You drove 3 hours to travel 180 miles, therefore t cannot equal 4.

Answer:

The answer is a line

Answer:

A line is defined as a line of points that extends infinitely in two directions. It has one dimension, length. Points that are on the same line are called collinear points.

Step-by-step explanation:

I hope this help

The new value for the population mean is 52.

The term "standard deviation" (or "σ") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

Given:

N= 10

µ = 50.

Now, If the mean of 10 scores is 50, then we need to first find the sum of those 10 scores.

= 10 x 50

= 500

Now, we can add 20 to this

= 500+ 20 = 520

Then, the new mean is

= 520 /10

= 52

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A  sample size of 457 should be taken to provide a 95% confidence interval with a margin of error of 0.09.In a survey, the planning value for the population proportion is p* = 0.25.

To determine how large a sample should be taken to provide a 95% confidence interval with a margin of error of 0.09, we can use the formula given below:

$$n=\left(\frac{z_{\alpha/2}}{E}\right)^{2} p^{*}(1-p^{*})$$

Where; E = Margin of error, zα/2

= the z-score corresponding to the level of confidence α,

p* = planning value for the population proportion,

n = sample size.

Substituting the given values in the formula, we have;

$$n=\left(\frac{z_{\alpha/2}}{E}\right)^{2} p^{*}(1-p^{*})

$$$$n=\left(\frac{1.96}{0.09}\right)^{2} \times 0.25 \times (1-0.25)

$$$$n=456.71416$$

Rounding this value up to the next whole number, we get;

$$n = 457$$

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Answer:

ok, i hate questions like these because i don't want to answer them

Step-by-step explanation:

The NPV is positive, it is worth taking the Investment.

Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.

This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:

NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.

The given problem can be solved by using the following steps:

Calculate the present value (PV) of the expected cash inflows:

Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82

Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39

Since the NPV is positive, it is worth taking the investment.

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Answer:

C. 12

Step-by-step explanation:

Answer:

The answer is c. 12

Step-by-step explanation:

Did the test got it right

The x-intercepts are -3 and 1, the midpoint of the x-intercepts is -1, and the extreme value is 0 at x = 1.

The x-intercepts of the quadratic function h(x) are -3 and 1, with a midpoint of -1.

To find the extreme value of the function, we need to determine the x-coordinate of the vertex using the formula x = -b / 2a. Plugging in the coefficients from h(x), we get x = -1.

The extreme value of the function is the y-coordinate of the vertex, which can be found by plugging in x = -1 into h(x), resulting in a value of 5/2.

The extreme value of h(x) is 5/2, and it occurs at x = -1.

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Answer:

5 hours

Step-by-step explanation:

You can use a simple equation for this problem, speed times time is distance. s * t = x. In this case, the distance, x, is 320 and the speed, s, is 64. We can move the s from the equation around and get t = x/s. So time = 320/64 which is 5 hours.

Answer:

First number is 300 second in 320

Step-by-step explanation:

let x be the first number

let x + 20 be the second

620 = x + (x +20)

620 = 2x + 20

620 - 20 = 2x

600/2 = 2x/2

x= 300

x + 20 = 320

Define variable for each number, sum of the 2 variable must equal 620 then isolate for x and calculate the sum of the first and second number

the numbers are 300 and 320.

You can solve this by using the equation x+ (x+20) = 620.

The three factors that affect the size of the margin of error when constructing a confidence interval for the population proportion are Sample size, Confidence level, and Population proportion.

1. Sample size (n): Larger sample sizes generally result in smaller margins of error, as the estimates become more precise.

2. Confidence level: Higher confidence levels (e.g., 95% vs 90%) lead to wider confidence intervals and larger margins of error, as they cover a greater range of potential values for the population proportion.

3. Population proportion (p): The margin of error is affected by the population proportion itself. When the proportion is close to 0.5, the margin of error is largest, while it is smaller when the proportion is near 0 or 1.

These factors are important to consider when constructing confidence intervals to ensure accurate and reliable results.

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The sum of 21 Σ(35 – 2) from j = 5 to j = 25 is 693.

The sum of 21 Σ(35 – 2) from j = 5 to j = 25 can be found as follows:

Firstly, let's simplify the expression inside the summation: 35 - 2 = 33

Thus, we can rewrite the given expression as:

21 Σ(33) from j = 5 to j = 25

Now, we can use the formula for the sum of an arithmetic series to evaluate this expression. The formula is given as:

S = n/2 [2a + (n - 1)d]

where S is the sum of the series, n is the number of terms, a is the first term, and d is the common difference.

In this case, the number of terms is 21 (since we are summing from j = 5 to j = 25), the first term is 33 (since this is the value of the expression for j = 5), and the common difference is 0 (since the value of the expression does not change from one term to the next).

Therefore, the sum of 21 Σ(35 – 2) from j = 5 to j = 25 is:

S = 21/2 [2(33) + (21 - 1)(0)] = 21/2 (66) = 693

Hence, the sum of 21 Σ(35 – 2) from j = 5 to j = 25 is 693.

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Rational numbers are numbers which can be written in the form of a/b where a and b are integers. The given statement that "the sum of two rational numbers is always rational".

Rational numbers are numbers which can be written in the form of a/b where a and b are integers.

Example: 1/2, 3.5 (which is writable as 7/5), 2(which is writable as 4/2), etc.

Irrational numbers are those real numbers which are not rational numbers.

For example √2, π, √13, etc.

It is important thing to Know that all natural numbers are integers, and all integers are rational numbers. That means natural numbers are not irrational.

Since rational number include integers and finite decimal numbers, also the decimal are non-repeating and non-reoccurring. Therefore, the sum of two rational number is always rational.

Hence, the given statement that "the sum of two rational numbers is always rational".

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The result of -6 x 4 is -24.

To understand why this is the case, it's important to remember the basic rules of multiplication. When we multiply two numbers together, we are essentially adding one number a certain number of times. For example, 3 x 4 can be thought of as adding 4 three times: 4 + 4 + 4 = 12

In this case, we are multiplying -6 and 4 together. So we are taking -6 and adding it to itself four times: -6 + -6 + -6 + -6 = -24.

It's important to note that the order of the numbers being multiplied does not change the result. So -6 x 4 is the same as 4 x -6, which would also equal -24.

It's also important to remember that when one of the numbers being multiplied is negative, the result will also be negative. So, -6 x 4 = -24                      

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Answer:

A ) 44

B ) 50

C ) no mode

D ) 44 ??

The solution of the inequality 9x + 6  ≥  132 and -7x + 19 < -128 is x ≥ 14 and x > 21.

Compound inequalities are a type of inequality that has two or more parts.

In other words, a compound inequality is an inequality that combines two simple inequalities.

Therefore, let's solve the compound inequality as follows:

9x + 6 ≥ 132 and -7x + 19 < -128

Let's solve them independently.

9x + 6 ≥ 132

subtract 6 from both sides of the inequality

9x + 6 ≥ 132

9x + 6 - 6 ≥ 132 - 6

9x ≥ 126

divide both sides by 9

x ≥ 126 / 9

x ≥ 14

-7x + 19 < -128

subtract 19 from both sides of the inequality

-7x + 19 - 19 < - 128 - 19

-7x < - 147

divide both sides by - 7

x > - 147 / -7

x > 21

Therefore, the solution is  x > 21 and x ≥ 14

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The surface area of the right rectangular prism is D) 62 square inches.

The surface area of a three-dimensional object is the total area occupied by all its faces. The right rectangular prism in question has dimensions of 2 inches (height), 5 inches (length), and 3 inches (width). The formula for calculating the surface area of a right rectangular prism is A = 2(W × L + H × L + H × W), where W is the width, L is the length, and H is the height. Substituting the given values, we get:

A = 2(3 × 5 + 2 × 5 + 2 × 3)

A = 2(15 + 10 + 6)

A = 2(31)

A = 62 square inches

Therefore, the correct option is (D).

Correct Question :

A student draws the net below to show the dimensions of a container that is shaped like a right rectangular prism.

A) 19

B) 30

C) 38

D) 62

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