Find the perimeter and area of a rectangle with width 5 cm in length 16 cm

The bench costs $375, and the garden table costs $295. Together, they amount to $670, with the table being $80 cheaper than the bench.

Let the cost of the bench be x. Then the cost of the garden table is x-80. The sum of the costs of both items is $670. So we have the equation: x + (x-80) = $670.

Simplifying this, we get 2x - 80 = $670  + 80 2x = $750  x = $375. So the cost of the bench is $375. The garden table costs $375 - $80 = $295. A garden table and a bench cost $670 combined.

The garden table costs $80 less than the bench. To find the cost of the bench, we can use algebraic equations. Let the cost of the bench be x. Then, the cost of the garden table is x - 80.

The sum of both costs is $670. Using this information, we can form an equation: x + (x - 80) = $670. Simplifying, we get 2x - 80 = $670 + 80. Solving for x, we get x = $375.

Therefore, the cost of the bench is $375, and the cost of the garden table is $295.

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If a 4-yard dumpster cost $95.00 monthly, the total cost for the year is $1,140.

The total cost for the year of the dumpster is the product of the multiplication of the monthly cost and 12.

Multiplication is one of the four basic mathematical operations, including addition, subtraction, and division.

In any multiplication, there must be the multiplicand (the number being multiplied), the multiplier (the number multiplying the multiplicand), and the product (or the result).

The monthly cost of the 4-yard dumpster = $95.00

1 year = 12 months

The total annual cost = $1,140 ($95 x 12)

Thus, using the multiplication operation, we can find that none of the options is correct as the total annual cost but $1,140.

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Answer:

Obtuse

Step-by-step explanation:

Since 150°>90°, it is an obtuse angle

The space sample would include the lotion, spray and gel, with the SPF and there are 15 possible outcomes.

The enumeration of sample space and all potential results can be achieved by duly considering various combinations of SPF and sunscreen variety. It is achievable to list the entire gamut of possibilities when each type of sunscreen is matched with every value of SPF:

The sample space would look like this:

This shows that there are 15 possible outcomes in the sample space.

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The point estimate for the population proportion of adults in the country who believe that televisions are a luxury they could do without is 0.5069.

A population is described as a collection of people who belong to the same species and cohabit in a certain region. In order to survive throughout time, individuals of a population frequently rely on the same resources, are susceptible to the same environmental restrictions, and depend on the availability of other members.

A sample is a more limited representation of the population as a whole. It serves as a good sample for a study's population. The people who are invited to participate in surveys are considered the sample while conducting them.

Let assume,

x be the population who believe that televisions are a luxury

n is the random sample of adults.

So, x = 511, n = 1008

Thus, population, p = x/n

or, p = 511 /1008

or, p = 0.5069

Thus, The point estimate for the population proportion of adults in the country who believe that televisions are a luxury they could do without is 0.5069.

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Answer:

No

Step-by-step explanation:

because the answer is 7

2x + 7 = 3x

2x + 7 - 7 = 3x - 7

2x = 3x - 7

2x - 3x = 3x - 7 - 3x

-x = -7

x = 7

Answer:

A, B, E

Step-by-step explanation:

Notice that A, B, and E all maintain their common ratios, while C and D do not.

vegetarians80 out of 340 students were interviewed and 12 are found to be vegetarian.

So the fraction is

The best estimate of the total number of vegetarian people is,

So, 51 students are vegatarians.

In this case, we'll have to carry out several steps to find the solution.

Step 01:

y = 2(x-a)

x = ?

Step 02:

We must apply the algebraic properties to find the solution.

y = 2(x-a)

y = 2x - 2a

y + 2a = 2x

(y + 2a) / 2 = x

The answer is:

x = (y + 2a) / 2

Answer:

In 1997, the baseball card would be worth $7.46 + $2.52 = $9.98.

In 1998, the baseball card would be worth $9.98 + $2.52 = $12.50.

In 1999, the baseball card would be worth $12.50 + $2.52 = $15.02.

Step-by-step explanation:

In this problem, we are given the value of a baseball card in 1996, which is $7.46. We are also told that the value of the card increases by $2.52 each year since then. This means that in 1997, the value of the card increased by $2.52 compared to its value in 1996, so the value in 1997 would be $7.46 + $2.52 = $9.98. Similarly, in 1998, the value of the card increased by another $2.52 from its value in 1997, so the value in 1998 would be $9.98 + $2.52 = $12.50. In 1999, the value of the card increased by another $2.52 from its value in 1998, so the value in 1999 would be $12.50 + $2.52 = $15.02.

Student's average test grade was 58 marks .

A moving average, also known as a rolling average or running average, is a method used in statistics to examine data points by averaging numerous subsets of the entire data set. It is a kind of finite impulse response filter and is also known as a moving mean (MM)[1] or rolling mean. Simple, cumulative, or weighted forms are examples of variations (described below).

The first component of the moving average is created by averaging the initial fixed subset of the number series, given a sequence of data and a predetermined subset size. The subset is then altered by "shifting forward," or omitting the first number in the series and including the following value.

If his third test grade is 100

means his second test grade was 100/2 = 50

and first test grade was 50/2 = 25

therefore his average test grade are = (100+50+25)/3

                                                              = 175/3 = 58.33333333

                                                               ≈ 58 marks

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a) The null hypothesis is that there is no difference in the proportion of homeowners using water filters among the three communities. The alternative hypothesis is that at least one community has a different proportion of homeowners using water filters than the other communities.

b) To calculate the expected count for the bottom right cell, we can use the formula:

Expected count = (row total x column total) / grand total

The row total for Community C and the column total for No are both 100, and the grand total is 300. Therefore:

Expected count = (100 x 100) / 300 = 33.33

The expected count of 33.33 for the bottom right cell means that if there were no difference in the proportions of homeowners using water filters among the three communities, we would expect 33.33 of the 100 homeowners in Community C to answer 'No' to the question about water filters.

c) To determine what we can conclude from the Chi-square statistic of 13.22, we need to compare it to the critical value for a Chi-square distribution with (3-1) x (2-1) = 2 degrees of freedom at the desired level of significance. Let's assume a level of significance of 0.05. From a Chi-square distribution table, the critical value with 2 degrees of freedom at 0.05 level of significance is 5.99.

Since 13.22 is greater than 5.99, we can reject the null hypothesis and conclude that there is a significant difference in the proportion of homeowners using water filters among the three communities. However, we cannot determine from this test alone which communities have different proportions of homeowners using water filters. We would need to conduct further tests, such as post-hoc tests, to investigate the specific differences among the communities.

Answer:

50.3 square units

Step-by-step explanation:

area of rectangle: 11 x twice the radius

radius = 2

A(rect): = 11(4) = 44 sq units

A (semi-circle) = (π·r²) / 2

A = 4π / 2 = 2π = 6.28 sq units

44.0 + 6.28 = 50.28

The probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213 is approximately 0.9702.

To find the probability that a single randomly selected value is between 189.7 and 213, we can use the standard normal distribution.

Step 1: Calculate the z-scores for the given values using the formula:

  z = (x - μ) / σ

  For 189.7:

  z1 = (189.7 - 189.7) / 96.7 = 0

  For 213:

  z2 = (213 - 189.7) / 96.7 ≈ 0.2417

Step 2: Utilize a standard typical conveyance table or number cruncher to find the probabilities comparing to the z-scores.

  P(189.7 < X < 213) = P(0 < Z < 0.2417) ≈ 0.0939

Therefore, the probability that a single randomly selected value is between 189.7 and 213 is approximately 0.0939.

To find the probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213, we use the central limit theorem. Under specific circumstances, the testing dispersion of the example mean methodologies a typical conveyance

Step 1: Calculate the standard error of the mean (σ_m) using the formula:

  σ_m = σ / sqrt(n)

  σ_m = 96.7 / sqrt(62) ≈ 12.2878

Step 2: Convert the given qualities to z-scores utilizing the equation:

  z = (x - μ) / σ_m

  For 189.7:

  z1 = (189.7 - 189.7) / 12.2878 = 0

  For 213:

  z2 = (213 - 189.7) / 12.2878 ≈ 1.8967

Step 3: Utilize a standard typical conveyance table or mini-computer to find the probabilities relating to the z-scores.

  P(189.7 < M < 213) = P(0 < Z < 1.8967) ≈ 0.9702

Therefore, the probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213 is approximately 0.9702.

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Answer:

You can't solve for p with this particular equation but you can simplify it.

simplified expression:

-p+43

Step-by-step explanation:

Hope this helps. Plz give brainliest.

Answer:

4.32×10^5

first calculate the left side and the calculate the right side.

finaly substract the result you get when you calculate at the first the result is 4.32 ×10^5

Money made during peak season = 1,800,000 * p

1. Expression for money made during peak season:

During peak season, the zoo has about 1,800,000 visitors. To calculate the money made during peak season, we multiply the number of visitors by the price of one peak season ticket (p):

Money made during peak season = 1,800,000 * p

2. Expression for money made during the off season:

The zoo wants to sell tickets in the off season for half the price of tickets in the peak season. Therefore, the price of one off season ticket would be p/2. To calculate the money made during the off season, we multiply the number of visitors by the price of one off season ticket:

Money made during the off season = 1,200,000 * (p/2) = 600,000 * p

3. Inequality for breaking even:

To break even, the zoo needs to make at least as much money as they spent on the animals. Let's represent the amount spent on animals as A. The money made during peak season plus the money made during the off season should be greater than or equal to the amount spent on animals:

1,800,000 * p + 600,000 * (p/2) ≥ A

Simplifying the inequality:

3,600,000p + 300,000p ≥ 2A

3,900,000p ≥ 2A

Solving for p:

p ≥ (2A) / 3,900,000

This determines the minimum price of one peak season ticket to break even.

The price of one off season ticket would be half the price of one peak season ticket, so the off season ticket should be (p/2).

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1) Number of participants whose headache remained is: 62

2) The probability of randomly selecting an individual whose headache remained is: 0.4133

3) The probability of randomly selecting an individual whose headache remained and took a placebo is: 0.2933

From the table, we have the parameters as:

Number of participants that took medicine and headache went away = 120

Number of participants that took placebo and headache went away = 68

Number of participants that took and headache remained = 18

Number of participants that took placebo and headache remained = 44

1) Number of participants whose headache remained = 18 + 44 = 62

2) The probability of randomly selecting an individual whose headache remained is:

62/(62 + 120 + 68)

= 62/150

= 0.4133

3) The probability of randomly selecting an individual whose headache remained and took a placebo is:

44/150 = 0.2933

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The true statements are C and E

the orange 2 correspond to the units, therefore, orange 2 = 2

the blue 2 correspond to the tens, therefore, blue orange = 20

now,

A is false because 20 isn't 200 times 2

b is false becuase 20 isn't 100 times 2

C is true because 2*10=20

D is false because they are indifferent posicitions, so they can't be equals

E is true because (1/10)*20=2

Answer:

Step-by-step explanation:

angle S+angle T+angle+angle R=180 degree(being sum of interior angle of a triangle)

4x^2-6x+40+18x+3+2x^2-7=180

6x^2+12x+36=180

6(x^2+2x+6)=180

x^2+2x+6=180/6

x^2+2x+6=30

x^2+2x=24

x(x+2)=24

x+2=24/x

x=24/x-2

x=24-2x/x

substitute the value of x^2 in angle R

2x^2-7

2(24-2x/x)^2-7(here x and x gets cancel)

2(24-2)^2-7

2*22^2-7

2*484-7

968-7

961

Answer:

Step-by-step explanation:

angle S+angle T+angle+angle R=180 degree(being sum of interior angle of a triangle)4x^2-6x+40+18x+3+2x^2-7=1806x^2+12x+36=1806(x^2+2x+6)=180x^2+2x+6=180/6x^2+2x+6=30x^2+2x=24x(x+2)=24x+2=24/xx=24/x-2x=24-2x/xsubstitute the value of x^2 in angle R2x^2-72(24-2x/x)^2-7(here x and x gets cancel)2(24-2)^2-72*22^2-72*484-7968-7961

Answer:

15:24, 20:32 and 40:64.

Step-by-step explanation:

hope this helps

Answer:

The ratios that work is 15:24 because 5 x 3= 15, 24 x 3 = 24 as they both have a 3 as factors. There's also 20:32 as they both have a 4 as factors and  lastly 16:10 because they both have a 2 as factors.

Step-by-step explanation:

The ratios that work is 15:24 because 5 x 3= 15, 24 x 3 = 24 as they both have a 3 as factors. There's also 20:32 as they both have a 4 as factors and  lastly 16:10 because they both have a 2 as factors.

Each step of this theorem is proved below.

Given that,

S is finite,

Now enumerate all of its elements as x₁, x₂,..., x\(_{n}\).

According to the cancellation rule,

This product is independent of the order of the factors.

As a result, we can define the identity element e as this product.

It is simple to demonstrate that e meets the criteria of an identity element.

Now, let's show that every element of S has an inverse.

Let a be any element of S. Consider the set {a, a, a, ...}.

Since S is finite,

There exist positive integers m and n such that

am = an   for some m > n.

By the cancellation law,

We can cancel a power of a from both sides to get a\({(m-n)}\) = e.

This means that a has an inverse, and we can conclude that S is a group.

Consider the set of all positive integers under addition, except 1, as an example of an infinite semigroup in which the cancellation laws hold but which is not a group.

This set clearly meets the cancellation laws, but it does not have an inverse for every element, because the inverse of 2, for example, is not an integer.

As a result, this is not a group.

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The mean should be calculated for data sets A, B, C, and D.

It is useful to take into account the nature of the data and any potential outliers when deciding whether to choose the mean or the median as the measure of center in a data set.

When the data is symmetrically distributed with no major outliers, the mean is usually a better choice. It affects extreme values and gives an indication of the average value.

The median, on the other hand, is often preferred when the data is skewed or contains outliers. It represents the middle value when the data is ordered, and it is less affected by extreme values.

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Answer:

1/8 is at the bank, 1/4 at the mall and 5/8 at the library

Step-by-step explanation:

Answer:

82 is what r equals

Step-by-step explanation:

So, lets go over what we know:

D equals rt, or r * t:

D=r*t

The table shows:

t=2 - d=164

t=3 - d=246

These are the only 2 values we need to look at.

We know that D= r*t, and we can just plug in the values found in the table for t and d to solve for r. So:

164= r * 2

Divide both sides by 2 to iscolate r:

82=r

So it seems like r is equal to 82, however this might be exponential or inaccurate, so lets double check witht the nexty values on the table:

246=r*3

Divide by 3 to iscolate the r:

82=r

So we know that r must equal 82.

Hope this helps!

Answer:

A

Step-by-step explanation:

For a right triangle

\(A=\frac{ab}{2} \\\frac{(10.4)(15.3)}{2} =79.56\)

This is the same as the other triangle because they are the same size because of congruency

Area of the rectangle

\(a^2+b^2=c^2\\\)

\(\sqrt{(10.4^2+15.3^2} =c\)

\(c= 18.5\)

18.5 x 7 = 129.5

Add them all up

129.5+79.56+79.56= 288.62

Answer:

-10p4q

Step-by-step explanation: