tomer owns a daycare center called kidz kare. one afternoon he collected the age of each person in kidz kare. the following histogram summarizes the data he collected. based on this data, what is a reasonable estimate of the probability that the next person to enter kidz kare is between 101010 and 151515 years old? choose the best answer. choose 1 answer: choose 1 answer: (choice a) a \dfrac{2}{10} 10 2 ​ start fraction, 2, divided by, 10, end fraction (choice b) b \dfrac{2}{7} 7 2 ​ start fraction, 2, divided by, 7, end fraction (choice c) c \dfrac{3}{10} 10 3 ​ start fraction, 3, divided by, 10, end fraction (choice d) d \dfrac{3}{7} 7 3 ​

Answer:

0.09

Step-by-step explanation:

Answer:

930.9069

Step-by-step explanation

Answer:

It is not well defined.

Step-by-step explanation:

Because set is a collection of well defined objet. And matter contains of solid, liquid and gas

The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.

The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:

1. The first term is 421 + 222, which equals 643.

2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.

3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.

4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.

5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.

6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.

7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.

8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.

9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.

Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:

- 421 + 222 = 643

- 3x² + 213 = 225

- 5x11² = 1210

- (√₁+√₂)² = 9

- 10ln(₁) ≈ 6.9314718

- (x₁+x₂)(x² + x3) = 408

The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.

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Let's calculate the total cost of all the items purchased by the computer club:

Cost of 14 portfolios = 14 * $24.59

Cost of 14 binders = 14 * $12.92

Cost of 14 school sweatshirts = 14 * $14.00

Cost of 14 music cases = 14 * $1.25

Cost of 14 phone cases = 14 * $1.99

Cost of 14 mouse pads = 14 * $2.14

Total cost of all items = Cost of 14 portfolios + Cost of 14 binders + Cost of 14 school sweatshirts + Cost of 14 music cases + Cost of 14 phone cases + Cost of 14 mouse pads

Plugging in the given values:

Total cost of all items = (14 * $24.59) + (14 * $12.92) + (14 * $14.00) + (14 * $1.25) + (14 * $1.99) + (14 * $2.14)

Now, the computer club will pay for 40% of the total cost. To calculate this, we can multiply the total cost by 40% (or 0.40):

Club's payment = 0.40 * Total cost of all items

The remaining cost will be divided equally among the 14 members:

Remaining cost per member = (Total cost of all items - Club's payment) / 14

Plugging in the values and calculating:

Club's payment = 0.40 * ((14 * $24.59) + (14 * $12.92) + (14 * $14.00) + (14 * $1.25) + (14 * $1.99) + (14 * $2.14))

Remaining cost per member = ((14 * $24.59) + (14 * $12.92) + (14 * $14.00) + (14 * $1.25) + (14 * $1.99) + (14 * $2.14) - Club's payment) / 14

So, each member of the computer club will owe the calculated value for "Remaining cost per member".

Hope this is good

The correct answer about the savings account that Zoe opened, represented by the equation b(x)=675(1.045)ˣ is B. Daniella says the balance in the account increases at a rate of 4.5% each year.

An equation is a mathematical statement that two or more algebraic expressions (the combination of variables with constants and mathematical operands) are equal or equivalent.

This equation is known as the future value equation, formula, or function.

Initial investment = $675

Compound interest rate = 4.5% (0.045 x 100)

Future value factor = 1.045 (100% + 4.5%)

Based on the future value function above, we can conclude that the compound interest rate is 4.5%, which is equivalent to 0.045 as given in the equation.

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The distance bewteen the points (-3,5) and (3,1) in a simple radical form is 2√13.

The distance formula used in finding the distance between two points is expressed as;

d = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

From the graph;

Point A: (-3,5)

x₁ = -3

y₁ = 5

Point B: (3,1)

x₂ = 3

y₂ = 1

Plug the given values into the distance formula and simplify.

\(d = \sqrt{( x_2 - x_1)^2 + (y_2 -y_1 )^2} \\\\d = \sqrt{( 3-(-3))^2 + (1 -5)^2} \\\\d = \sqrt{( 3+ 3)^2 + (1 -5)^2} \\\\d = \sqrt{( 6)^2 + (-4)^2} \\\\d = \sqrt{36 + 16} \\\\d = \sqrt{52}\\\\d = 2\sqrt{13}\)

Therefore, the distance between the points is 2√13.

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Answer:

s=6

Step-by-step explanation:

first you distribute the 8

8s+24=72

Then subtract 24 from both sides

8s=48

then divide both sides by 8 to get

s=6

Answer:

you multiply the length and height, then, you figure out what you multiply to get the volume by dividing the product of the length and height multiplied.

Step-by-step explanation:

ex: kyle

2x3=6

6x?=12

6/12=2

Answer:

Hope you have understood the sum

Answer:

yes

Step-by-step explanation:

(3^4)^4

this is the same as 3^(4x4)

3^16

3^8x3^8

since they are the same base just add the exponent to get

3^16

Answer:

9 units because eqidistance from center

Answer:

-93/91

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

y = -93/91 - 88/43

Step 2: Break Function

Identify Parts

Slope m = -93/91

y-intercept b = -88/43

The function g(t) is given by g(t) = [(1/5) * (t * e^(5t) - (1/5) * e^(5t) + c)] / ln(t), where c is an arbitrary constant.

To find the function g(t), given that the Wronskian W of ƒ and g is t^2 * e^(5t) and ƒ(t) = t, we can use the properties of the Wronskian and solve for g(t).

The Wronskian W is defined as:

W(ƒ, g) = ƒ(t) * g'(t) - ƒ'(t) * g(t)

Given ƒ(t) = t, we can substitute it into the Wronskian equation:

t^2 * e^(5t) = t * g'(t) - 1 * g(t)

Now, let's solve this linear first-order differential equation for g(t):

t * g'(t) - g(t) = t^2 * e^(5t)

This is a linear homogeneous differential equation, and we can solve it by using an integrating factor. The integrating factor for this equation is e^(-∫(1/t) dt) = e^(-ln(t)) = 1/t.

Multiplying both sides of the differential equation by the integrating factor, we have:

1/t * (t * g'(t) - g(t)) = 1/t * (t^2 * e^(5t))

Simplifying, we get:

g'(t) - (1/t) * g(t) = t * e^(5t)

Now, we can rewrite this equation in the form:

[g(t) * (1/t)]' = t * e^(5t)

Integrating both sides, we have:

∫ [g(t) * (1/t)]' dt = ∫ t * e^(5t) dt

Integrating, we get:

g(t) * ln(t) = (1/5) * (t * e^(5t) - ∫ e^(5t) dt)

Simplifying the integral, we have:

g(t) * ln(t) = (1/5) * (t * e^(5t) - (1/5) * e^(5t) + c)

where c is an arbitrary constant.

Finally, solving for g(t), we divide both sides by ln(t):

g(t) = [(1/5) * (t * e^(5t) - (1/5) * e^(5t) + c)] / ln(t)

Therefore, the function g(t) is given by:

g(t) = [(1/5) * (t * e^(5t) - (1/5) * e^(5t) + c)] / ln(t)

Please note that c represents an arbitrary constant and can take any value.

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Answer:

62.83

Step-by-step explanation:

C=2πr=2·π·10≈62.83185ft

The covariance between the random variables x₁ and x₂, denoted as cov(x₁, x₂), is determined by the formula: cov(x₁, x₂) = E[(x₁ - E(x₁))(x₂ - E(x₂))].

However, in this case, we are asked to find cov(x₁, x₁), which represents the covariance of x₁ with itself. Covariance measures the extent to which two variables change together, so the covariance of a variable with itself is simply the variance of that variable. Therefore, cov(x₁, x₁) is equal to the variance of x₁, which is given as v(x₁) = 2. Covariance is a measure of how two random variables change together. The formula for covariance between two random variables x₁ and x₂ is given by cov(x₁, x₂) = E[(x₁ - E(x₁))(x₂ - E(x₂))], where E(x₁) and E(x₂) represent the means (expected values) of x₁ and x₂, respectively. However, in this case, we are interested in finding cov(x₁, x₁), which represents the covariance of x₁ with itself. Since we have only one random variable, x₁, we can calculate its covariance with itself as the variance of x₁, denoted as v(x₁). The variance, v(x₁), is defined as the expected value of the squared difference between x₁ and its mean, E(x₁). In this case, E(x₁) is given as 4, so we have v(x₁) = E[(x₁ - E(x₁))²] = E[(x₁ - 4)²]. We are also given that v(x₁) = 2, which means E[(x₁ - 4)²] = 2. Therefore, cov(x₁, x₁) is equal to the variance of x₁, which is given as v(x₁) = 2.

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Among the measures of central tendency (mean, median, mode), the median must be an actual piece of data in the distribution.

The median is the middle value of a dataset when it is arranged in ascending or descending order. It represents the value that divides the dataset into two equal halves. Since it is based on the actual data points, the median must be one of the actual values in the distribution.

In contrast, the mean is calculated by summing all the data points and dividing by the total number of data points.

The mode represents the most frequently occurring value(s) in the dataset. These measures do not necessarily have to correspond to actual data points in the distribution.

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Answer:

x ≥ 12

Hope that helps!

Step-by-step explanation:

Answer:

2 and 4

Step-by-step explanation:

The mean of x is 7.7 minutes, and the standard deviation of x is 0.525 minutes and the shape of the sampling distribution of the sample mean is approximately normal.

The mean of the sampling distribution of the sample mean is the same as the population mean.

Given that the population mean is 7.7 minutes, the mean of x is also 7.7 minutes.

The standard deviation of the sampling distribution of the sample mean (also known as the standard error) can be calculated using the formula: standard deviation of x = population standard deviation / √n.

where n is the sample size.

Te population standard deviation is 2.1 minutes, and the sample size is 16.

Substituting these values into the formula:

standard deviation of x = 2.1 / √16

standard deviation of x = 2.1 / 4

standard deviation of x = 0.525 minutes

Therefore, the mean of x is 7.7 minutes, and the standard deviation of x is 0.525 minutes and the shape of the sampling distribution of the sample mean is approximately normal.

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The amplitude of this function is 3.

A two-tailed test is a hypothesis test in which the rejection region is option (B) in both tails of the sampling distribution

The hypothesis test is defined as the statistic approach checking the results of a research study support a particular theory when we apply that result to population

A two-tailed test is a hypothesis test that defined in which the critical area of the distribution is two sided, so the sample will be greater than or less than a certain range of values

Therefore, the rejection region of a two-tailed test is a hypothesis test is in both tails of the sampling distribution.

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Answer:

cobra $46,6

Step-by-step explanation:

la respuesta se obtiene dividiendo 140 entre 3 y el resultado es lo que cobra el carpintero como mano de obra

the expression equivalent to f(p+r) is 5p + 5r.

The expression equivalent to f(p+r), where f(x) = 5x, is 5p + 5r. To understand this, we substitute (p+r) into the function f(x):

f(p+r) = 5(p+r)

Next, we distribute the 5 to both p and r:

f(p+r) = 5p + 5r

This equivalent expression arises from the definition of f(x) = 5x, where the function multiplies any given input x by 5. In this case, we substitute (p+r) into the function, resulting in 5 multiplied by the sum of p and r. Consequently, the expression 5p + 5r represents the value obtained by applying the function f to the sum of p and r. It is important to note that the function f(x) = 5x implies a linear relationship, where the function scales the input by a factor of 5.

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Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

To find out how much of each leftover paint Josh should mix to achieve a medium pink color (50% red), we can set up a system of equations based on the percentages of red in the paints.

Let's assume that Josh needs x gallons of dark pink paint and y gallons of light pink paint to achieve the desired color.

The total amount of paint needed is 3 gallons, so we have the equation:

x + y = 3

The percentage of red in the dark pink paint is 80%, which means 80% of x gallons is red. Similarly, the percentage of red in the light pink paint is 30%, which means 30% of y gallons is red. Since Josh wants a 50% red mixture, we have the equation:

(80/100)x + (30/100)y = (50/100)(x + y)

Simplifying this equation, we get:

0.8x + 0.3y = 0.5(x + y)

Now, we can solve this system of equations to find the values of x and y.

Let's multiply both sides of the first equation by 0.3 to eliminate decimals:

0.3x + 0.3y = 0.3(3)

0.3x + 0.3y = 0.9

Now we can subtract the second equation from this equation:

(0.3x + 0.3y) - (0.8x + 0.3y) = 0.9 - 0.5(x + y)

-0.5x = 0.9 - 0.5x - 0.5y

Simplifying further, we have:

-0.5x = 0.9 - 0.5x - 0.5y

Now, rearrange the equation to isolate y:

0.5x - 0.5y = 0.9 - 0.5x

Next, divide through by -0.5:

x - y = -1.8 + x

Canceling out the x terms, we get:

-y = -1.8

Finally, solve for y:

y = 1.8

Substitute this value of y back into the first equation to solve for x:

x + 1.8 = 3

x = 3 - 1.8

x = 1.2

Therefore, Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

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We need to find which of the given pairs of triangles can be proved congruent by SAS congruence condition.

SAS is used when the angle and the two sides enclosing the angle of one triangle is congruent to the other triangle .

On looking at the options we can clearly see that this condition is followed in the first option itself.

Hence by SAS the pair of ∆s given in option a are congruent.

and we are done!

Answer:

1960

Step-by-step explanation:

40 times 35 = 1400

8 times 2 times 35 = 560

1400+560=1,960$

When Devon works for 48 hours in one week the total amount he earned that week is equal to $1960.

To calculate Devon's earnings for the week when he works 48 hours,

Consider his regular pay for the first 40 hours and then the "double time" pay for the additional 8 hours.

Regular pay for 40 hours: Devon earns $35 per hour for a regular 40-hour work week.

Regular pay = $35/hour × 40 hours = $1400

Overtime pay for the additional 8 hours: Devon works 48 hours in total, so he works 8 hours over the regular 40-hour work week.

For these 8 hours, he earns "double time," which means his hourly rate is doubled.

Double time rate = 2 × $35 = $70/hour

Overtime pay

= Double time rate × Number of overtime hours

= $70/hour × 8 hours

= $560

Total earnings for the week: To find the total amount earned in the week, add the regular pay and the overtime pay.

Total earnings

= Regular pay + Overtime pay

= $1400 + $560

= $1960

Therefore, if Devon works 48 hours in one week, he would earn $1960 that week.

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No triangle can be constructed with the mentioned sides of  measuring 5 m, 16 m, and 5 m.

There is possibility of only one triangle can be possibly constructed with sides measuring 5 m, 16 m, and 5 m.

In order to form a triangle,  the sum of the lengths of any two sides must be greater than the length of the third side. In this case, 5 + 5 = 10, which is less than 16.  So it is clear that violates the basic principle to form a triangle.

Therefore, from the above statements it can be concluded that these three mentioned sides of triangle i.e. 5 m, 16 m, and 5 m, cannot form a triangle. So, the answer is zero.

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The volume of the given cylinder would be = 4300 in³

The formula that can be used to calculate the volume of a cylinder = V= πr²h

where,

π = 3.14

r = 14

h = 7

volume = 3.14× 14² × 7

= 3.14× 196× 7

= 4308.08

= 4300 in³

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