On a certain hot summer’s day, 217 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for adults. The receipts for admission totaled $378.00. How many children and how many adults swam at the public pool today?

Answer:

Bro it will be +1200

Step-by-step explanation:

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Cliff pays a total interest of approximately $679.90 on his $5,000 loan.

To calculate the total interest paid on the loan, we need to use the formula for compound interest:

\(A = P(1 + r/n)^{(nt)}\)

Where:

A is the final amount (loan amount + interest)

P is the principal (loan amount)

r is the annual interest rate (in decimal form)

n is the number of times interest is compounded per year

t is the number of years

Given that Cliff takes out a $5,000 loan with a fixed annual interest rate of 7% compounded monthly, we can substitute the values into the formula:

P = $5,000

r = 7% = 0.07

n = 12 (monthly compounding)

t = 2 years

\(A = 5000(1 + 0.07/12)^{(12 \times 2)\)

Calculating this expression:

A ≈ 5000\((1.00583)^{(24)\)

A ≈ 5000(1.13598)

A ≈ 5679.90

The final amount (A) is the loan amount plus the total interest paid. Therefore, to find the total interest paid, we subtract the principal (P) from the final amount (A):

Total Interest = A - P

Total Interest = 5679.90 - 5000

Total Interest ≈ $679.90

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The statement "Every set can be considered a class" means that every object in set theory, including sets, can be considered a class. This is because classes are simply collections of objects, and sets are a type of collection.

The statement "If S is a set, consider the formula x S and the class {x: x = S}" means that if S is a set, then we can consider the formula x S, which states that x is an element of S, and the class {x: x = S}, which is the class of all objects that are equal to S.

In other words, the statement is saying that every set can be considered a class, and that we can define a class for any set by considering the formula that defines the set and the class of all objects that satisfy that formula.

For example, the set {1, 2, 3} can be considered a class by considering the formula x ∈ {1, 2, 3}, which states that x is an element of the set {1, 2, 3}, and the class {x: x ∈ {1, 2, 3}} is the class of all objects that are elements of the set {1, 2, 3}. This class is equal to the set {1, 2, 3}.

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The value of q is 0.35.

The value of p is 0.16.

The value of r is 0.27.

The value of P(A given NOT B) is approximately 0.4211.

To calculate the values of p, q, and r, we can use the information provided in the Venn diagram and the probabilities of events A and B.

Given:

P(A) = 0.43

P(B) = 0.62

P(A∩B) = 0.27

Calculating the value of p:

The value of p represents the probability of event A occurring without event B. In the Venn diagram, p corresponds to the region inside A but outside B.

We can calculate p by subtracting the probability of the intersection of A and B from the probability of A:

p = P(A) - P(A∩B)

= 0.43 - 0.27

= 0.16

Therefore, the value of p is 0.16.

Calculating the value of q:

The value of q represents the probability of event B occurring without event A. In the Venn diagram, q corresponds to the region inside B but outside A.

We can calculate q by subtracting the probability of the intersection of A and B from the probability of B:

q = P(B) - P(A∩B)

= 0.62 - 0.27

= 0.35

Therefore, the value of q is 0.35.

Calculating the value of r:

The value of r represents the probability of both event A and event B occurring. In the Venn diagram, r corresponds to the intersection of A and B.

We are given that P(A∩B) = 0.27, so the value of r is 0.27.

Therefore, the value of r is 0.27.

Finding the value of P(A given NOT B):

P(A given NOT B) represents the probability of event A occurring given that event B does not occur. In other words, it represents the probability of A happening when B is not happening.

To calculate this, we need to find the probability of A without B and divide it by the probability of NOT B.

P(A given NOT B) = P(A∩(NOT B)) / P(NOT B)

We can calculate the value of P(A given NOT B) using the provided probabilities:

P(A given NOT B) = P(A) - P(A∩B) / (1 - P(B))

= 0.43 - 0.27 / (1 - 0.62)

= 0.16 / 0.38

≈ 0.4211

Therefore, the value of P(A given NOT B) is approximately 0.4211.

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Answer: correct answer is A

Step-by-step explanation:The numbers of sets which cannot represent the lengths of the sides of a triangle are 8, 9, 11.We have to determineWhich set of numbers cannot represent the lengths of the sides of a triangle?According to the questionThe length of sides which can not form a triangle is determined in the following steps given below.

Answer:

The correct answer is A.

Step-by-step explanation:

You have to look at the triangle inequality theorem where a + b ≥ c. Any two sides of a triangle must be greater than or equal to the third, in this case, 1 ft + 3 ft only = 4. Therefore A does not represent the length of 3 sides of a triangle.

Hope this helps, Have an amazing day!

here it is, hope i helped :)

the answer is 3 1/12

Answer:

6 2/6 -3 2/8

Step-by-step explanation:

6*6=36

36+2=38

so it becomes 38/6

8*3=24

24+2=26

so it becomes 26/8

for same denominator *ply 38/6 with 8 &26/8 with 6

it will become: 304-156/48

148/48

which is equal to

3 4/48

Answer:

312.3

Step-by-step explanation:

the value of the investment when she retires is $26434.92.

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

Formula:

A = P(1 + {r}/{n})^{n.t}

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

here, we have,

given that,

Leilamade a one-time investment of $12 000.00 in a

registered retirement savings plan (RRSP) at 2.65%, compounded

semi-annually.

She plans to withdraw the money when she retires in 30

years.

So, she get finally is,

using the formula we get,

$26434.92

hence,  the value of the investment when she retires is $26434.92.

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Answer:

51.81 cm^2

Step-by-step explanation:

Find The Half Of 33 which is 16.5

Use The Formula For Area

A= \(\pi\) x r^2

A= 3.14 x 16.5

A= 51.81 cm^2

Answer:

3

Step-by-step explanation:

Answer:

Observational study

Step-by-step explanation:

Answer:

D: Observational Study

Step-by-step explanation:

edg2020

He did not go around asking people how many of them buy lunch, so it is not a survey. He did not create the settings and conditions or simulate possible examples, so its not B. He did not control or change any variables, so it is not an experiment. He simply walked around and Observed people to get information for his study. Thus it is D.

Answer:

-5 and -The zeros of a parabola are the points on the parabola that intersect the line y = 0 (the horizontal x-axis). Since these points occur where y = 0,

The annual percentage growth rate is 5.9%

The doubling time of an investment of $10000 is 12 years

The compound interest caluclated annually can be given by

A=P(1 + r/n)^nt

where A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

20000 = 10000(1 + r)¹²

2⁻¹² = 1 + r

r = 1.059 - 1

r = 0.059

Rate of inetrest = 5.9%

Therefore, the annual percentage growth rate is 5.9%

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Answer:

800 grams flour ÷ 5 grams flour/biscuit = 160 biscuits

160 biscuits × 3 grams butter/biscuit = 480 grams butter

160 biscuits × 2 grams sugar/biscuit = 320 grams sugar

Katie needs 320 grams sugar.

Kate needs 270g of sugar to make the maximum number of biscuits possible.

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Now, Based on the ratio of flour, butter, and sugar of 5:3:2, we can determine that Kate needs;

⇒ 800g + 550g

= 1350g of the mixture.

Hence, For find out the amount of sugar needed, we need to determine the proportion of sugar in the mixture.

We can do this by adding up the ratio numbers;

(5+3+2) = 10.

Then we can divide each ratio number by the total (10) to get the proportion of each ingredient.

So the proportion of sugar in the mixture is 2/10. To find out how much sugar Kate needs, we can set up a proportion:

2/10 = x/1350

We can solve for x by cross-multiplying:

2 × 1350 = 10x

2700 = 10x
x = 270

Therefore, Kate needs 270g of sugar to make the maximum number of biscuits possible.

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Value of variable x in the proportion is 6.

A fraction is used to express a portion of a whole or a ratio of two values. It is a mathematical statement known as a fraction bar or vinculum that has a numerator and a denominator separated by a horizontal line. The denominator is the total number of pieces that make up the whole, whereas the numerator is the number of parts that are being taken into account.

Given proportion;

10/10+x=35/56

Cross multiplying the proportion, we get

10×56=35×(10+x)

Multiplying the values on both side, we get

560=350+35x

Taking 350 on left hand side,

560-350=35x

35x=210

Dividing the equation by 35, we get

x=210/35

x=6

Hence, value of x in the proportion is 6.

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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: 1

Step-by-step explanation:

Let's look at two points on this line (0, 1), and (1, 2)

Using the slope formula (\(\frac{(y_2-y_1)}{(x_2-x_1)}\))

\(\frac{(2-1)}{(1-0)} =\frac{1}{1}=1\)

Hope it helps :)

Answer:

bro be more specific plssssaass

There were 18 time trials recorded during the experiment.

To determine the number of time trials recorded during the experiment, we count the total number of dots on the dot plot.

According to the given information, we have:

- Two dots over 15

- Three dots over 17

- Two dots over 19

- Two dots over 20

- One dot over 21

- Four dots over 23

- One dot over 24

- Three dots over 25

By adding up these counts, we get:

2 + 3 + 2 + 2 + 1 + 4 + 1 + 3 = 18

Therefore, there were 18 time trials recorded during the experiment.

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(a)  The corresponding angles are congruent.

So, m ∠ TLC = 66°

(b)  m ∠KGX = m ∠DNK = 120°

"Information available from the question"

In the question:

A graphic artist created a design for a flower using four congruent hexagons as shown:

B P⊥M K, m ∠ M Y F=m ∠ F H B, m° W M C=m ∠ W P T, m ∠G X R=66°, m ∠ D N K=(3 x+18)°, and m ∠ W B R=(5 x-8)°.

The sum of the angles in WKNDSP is 720°.

Now, According to the question:

Part(a) Since the four hexagons are congruent

So, the corresponding angles are congruent.

Thus, m ∠ T L C=  m ∠ 6 x R

Since, m ∠ 6 x R = 66°

So, m ∠ TLC = 66°

Part(b) In WKNDSP

m  ∠KWP + m ∠ WPS + m ∠ PSD + m ∠ SDN + m ∠ DNK + m ∠ NKW = 720°

Since, 1)  B P⊥M K => m ∠KWP = 90°

2) m ∠WPS =m ∠NKW =m ∠WBR = (5x - 8)°

3) m ∠PSD = m ∠DNK = (3x + 18)°

4) m ∠SDN = m ∠GXR = 66°

So, 90 + (5x + 8) + (3x + 18) + 66 + (3x + 18) + (5x - 8) = 720°

90 + 5x + 8 + 3x + 18 + 66 + 3x + 18 + 5x - 8 = 720

176 + 16x = 720

16x = 720 - 176

16x = 544

x = 34

=> m ∠DNK = (3x + 18)° = (3 × 34 + 18)° = 120°

So, m ∠KGX = m ∠DNK = 120°

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A solution containing 6% salt requires the evaporation of 4 ounces of water.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The amount of water that needs to evaporate from 24 ounces of a 5% salt solution in order to create a 6% salt solution is what is being asked for in the inquiry.

The initial quantity of the solution is given to be 24 ounces.

The amount of salt in it is 5%, that is, 5% of 24 ounces = 1.2 ounces.

Thus, the final quantity of the solution is 24 - x ounces. But, the amount of salt remains constant at 1.2 ounces.

Now, we are asked for evaporation, such that the solution contains 6% salt.

This can be shown as:

1.2/(24 - x) = 6%.

To get the value of x, we solve this as:

1.2/(24 - x) = 6%,

24 - x = 1.2/6%,

24 - x = 20,

x = 24 - 20,

x = 4.

Therefore, the solution containing 6% salt requires the evaporation of 4 ounces of water.

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Answer:

7.5

Step-by-step explanation:

DeltaMath

Answer:

two, two, parallel

Step-by-step explanation:

According to the equation, mx + b where m is the slope, we can conclude that the slopes of both equations are two. If two lines have equal slopes, then they are parallel. As both lines have equal slopes, they are parallel.

Answer:

2_2_linear equations

Using the definition of the derivative, the derivative of the function is f'(t) = 5t + 6. The domain of the function and its derivative are both the set of all real numbers.

The derivative is a concept in calculus that represents the rate of change or the slope of a function at a specific point. It is defined as the limit of the difference quotient of the function as the interval between the two points approaches zero. Mathematically, the derivative of a function f(x) at a point x is represented as f'(x) and can be expressed as:

f'(x) = lim h -> 0 [f(x + h) - f(x)]/h

where h is the interval between the two points.

The derivative is a fundamental tool for analyzing and understanding the behavior of functions, including their local maxima, minima, and inflection points, as well as for solving problems in physics and engineering.

The derivative of the function f(t) = 2.5t² + 6t can be found using the definition of the derivative:

f'(t) = limit as h -> 0 of [f(t + h) - f(t)]/h

= limit as h -> 0 of [2.5(t + h)² + 6(t + h) - (2.5t² + 6t)]/h

= limit as h -> 0 of [2.5t² + 5ht + 2.5h² + 6t + 6h - 2.5t² - 6t]/h

= limit as h -> 0 of [5ht + 2.5h² + 6h]/h

= limit as h -> 0 of [5t + 2.5h + 6]

= 5t + 6

The domain of the function f(t) = 2.5t^2 + 6t is all real numbers. The domain of its derivative f'(t) = 5t + 6 is also all real numbers.

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The cash flow statement shows the cash the business has generated from operations, investments, and financing. Net cash flow is the name given to this sum.

In financial accounting, a cash flow statement, often called a statement of cash flows, is a financial statement that breaks down the analysis into operating, investing, and financing operations. It illustrates how changes in balance sheet accounts and income effect cash and cash equivalents.

A cash flow statement lists all of an organization's cash inflows from current operations and outside investment sources. The cash flow statement shows the cash the business has generated from operations, investments, and financing. Net cash flow is the name given to this sum.

Functionally speaking, cash flows are categorized according to the nature of the underlying transaction. The statement's main goal is to give pertinent details about the agency's cash inflows and outflows during a given time period.

Therefore, the correct answer is option d) Determine the change in cash.

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Answer:

Step-by-step explanation:

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