Daniel is working two summer jobs, making $8 per hour babysitting and making $15 per hour lifeguarding. In a given week, he can work a maximum of 18 total hours and must earn no less than $200. If Daniel worked 3 hours babysitting, determine the minimum number of whole hours lifeguarding that he must work to meet his requirements

If the variance in the thickness of 20 textbooks is 0.0665 , then the random error in the mean value is  ±0.1207 inches and the confidence interval is (1.013 ± 0.1207) inches  .

The number of textbooks (number of observations) , n = 20 ;

So , v = n - 1 = 20 - 1 = 19 ;

For v = 19 and 95% confidence interval , we have t = 2.093  ;

The variance (σ²) is = 0.0665 ;

So , σ = √0.665 = 0.258 inches ;

We know that , Random Error (Δ) = tσ/√n = (2.093 × 0.258)/√20

= 0.1207 ;

The mean of the thickness of textbooks is ( [tex]\bar x[/tex] ) = 1.013 inches ;

So , the Random Error in the mean is = ±Δ = ±0.1207 inches ;

and the 95% confidence interval is = [tex]\bar x[/tex] ± Δ

⇒ (1.013 ± 0.1207) inches ;

Therefore , the Random Error is ±0.1207 inches , and the interval is (1.013 ± 0.1207) inches .

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Answer:

Area A, is x times y

Step-by-step explanation:

To find the area you must multiply the light x width of a rectangle or square

um.... kauser is this u

Answer:

3/4 > 1/4

Step-by-step explanation:

3/4 is 75%, and 1/4 is 25 percent. 3/4 is greater than 1/4!

An arithmetic sequence calculator is a tool or program that can be used to find the terms of an arithmetic sequence, given the first term and the common difference. The "nth term" of an arithmetic sequence refers to the term in the sequence that is in the nth position.

An arithmetic sequence calculator is a tool or program that can be used to find the terms of an arithmetic sequence, given the first term and the common difference. The common difference is the value that is added to each term in the sequence to obtain the next term. Given these two values, the calculator can generate the entire sequence of terms. Some calculators may also be able to find the first term and common difference from a given set of terms, as well as other properties of an arithmetic sequence, such as the sum of the terms, the nth term, etc. The "nth term" of an arithmetic sequence refers to the term in the sequence that is in the nth position. In other words, it is the term that corresponds to the number n in the sequence. The nth term can be calculated using the formula for the nth term of an arithmetic sequence, which is given by: a_n = a_1 + (n-1)d. where a_1 is the first term of the sequence, d is the common difference, and n is the position of the term that we want to find. For example, if the first term of an arithmetic sequence is 3, and the common difference is 2, then the nth term can be found by plugging in the values of a_1, d, and n into the formula.

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Complete Question

What is Arithmetic sequences calculator and what is nth term?

The sin 20° can be expressed as D. cos 70⁰

We will need to find the value of given angles one after the other . for instance By creating an angle of 70 degrees with the x-axis and then determining the coordinates of the point (0.342, 0.9397) on the unit circle, it is possible to determine the value of sin 70 degrees. The y-coordinate is equal to the value of sin 70°. (0.9397). ∴ sin 70° = 0.9397.

The given angle is

Sin 20° = 0.342

option A;

tan 20⁰ =0.364

Option B:

sin 70⁰ =  0.9397

Option C :

cos 20° = 0.9397.

Option D :

cos 70 degrees = 0.342

Therefore, option D is correct.

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Answer:

1099

Step-by-step explanation:

350*pi=1099

Answer:

It would be 180 - 136 = 44

Step-by-step explanation:

Answer:

yes you are correct

Step-by-step explanation:

180-136=44

Service a has 75% of all the scheduled deliveries, and service b has the remaining 25%, their on-time rates are 80% and 60% respectively, the probability that a package is delivered on time is 0.75 or 75%.

To calculate the probability that a package is delivered on time, we need to use the law of total probability and the probabilities of on-time delivery for each messenger service.

Let A denote the event that a package is delivered by Service A, and B denote the event that a package is delivered by Service B. Then, we have:

P(on-time delivery) = P(on-time delivery | A) * P(A) + P(on-time delivery | B) * P(B)

where P(on-time delivery | A) is the probability that a package is delivered on time given that it was sent through Service A, and P(A) is the probability that a package is sent through Service A.

Similarly, P(on-time delivery | B) is the probability that a package is delivered on time given that it was sent through Service B, and P(B) is the probability that a package is sent through Service B.

From the information given in the question, we know that P(A) = 0.75, P(B) = 0.25, P(on-time delivery | A) = 0.8, and P(on-time delivery | B) = 0.6. Substituting these values into the above formula, we get:

P(on-time delivery) = 0.8 * 0.75 + 0.6 * 0.25

= 0.6 + 0.15

= 0.75

Intuitively, this result makes sense because Service A, which has a higher on-time rate and delivers 75% of the packages, dominates the total probability of on-time delivery. However, the contribution of Service B cannot be ignored completely and reduces the overall on-time rate slightly.

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The probability that both phenotypes are o is 0.1600

Events classified as independent do not depend on other events for their occurrence. For instance, if we toss a coin in the air and it lands on head, we can toss it again and this time it will land on tail. Both instances include independent occurrences of the two events.

In a probability notation, events  and  are independent if  (  ∣  ) =  (  ) . Events  and  are independent if and only if  (  ∩  ) =  (  ) ×  (  ) . If  and  are dependent events, then  (  ∩  ) =  (  ∣  ) ×  (  ) .

the proportions of blood phenotypes in a particular population are as follows: a b ab o 0.42 0.14 0.05 0.39  so for o the value is 0.40 so we put it and slolve .

The samples are independents, so:

P(O1∩O2) = P(O1).P(O2) = 0.40*0.40=0.1600

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The area of the figure is 254.8 m²

Area is the region occupied by an object.

Since the figure is a rectangle and containing two semi-circles, we find the area of the figure by finding the area of the rectangle and the two semi-circles.

The area of the rectangle is given by A = LW where

Given that

A = LW

= 16 m × 12 m

= 192 m²

The area of a semi-circle with diameter d is A = πd²/4

Now for the first semi-circle, its diameter d' = 8 m.

So, its area A' =  πd'²/4

=  π(8 m)²/4

= π64 m²/4

= 16π m²

= 16 ×3.14 m²

= 50.24 m²

Also, for the fsecond semi-circle, its diameter d" = 4 m.

So, its area A' =  πd'²/4

=  π(4 m)²/4

= π16 m²/4

= 4π m²

= 4 × 3.14 m²

= 12.56 m²

So, the area of the figure is A₁ = A + A' + A"

= 192 m² + 50.24 m² + 12.56 m²

= 254.8 m²

So, the area of the figure is 254.8 m²

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Answer:

A.  9.4 mi

Step-by-step explanation:

Sketch a right triangle with legs of 8 and 5.  Shortest distance back to the starting point is the hypotenuse (h) of the triangle:

h² = 8² + 5² = 89

h = √89 = 9.43 mi

The quadratic function in factored form given the parabola has roots of 9 and -6 and passes through the point (-8,-102) is f(x) = x²-3x-54

A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two.

Given that, the quadratic function in factored form given the parabola has roots of 9 and -6 and passes through the point (-8,-102).

We know that, the standard form of the quadratic equation is given by,

x²-(α+β)x+αβ=0, where α and β are roots of the equation,

Therefore,

x²-(9-6)x+9(-6) = 0

x²-3x-54 = 0

Hence, the quadratic function in factored form given the parabola has roots of 9 and -6 and passes through the point (-8,-102) is f(x) = x²-3x-54

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5 additional trees give maximum yield and 35 trees per acre will give largest crop of apple.

Let's assume that, we are planting x apple trees extra per acre. So, net 10x apple will be less.

Let say, total number of apples = y

Then, y = (30+x)×(400–10x)

For, optimum number of trees, let's do the differentiation of the above equation with respect to x.

d(y)/d(x) = (400–10x)×1 + (30+x)×(-10)

= 400–10x-300–10x

= 100–20x …………..(1)

For mimima or maxima, the above equation must be equal to 0.

So, 0 = 100–20x

=> x=5

Let's do the second differentiation of equation (1) and substitute the the value of x I.e x=5

[tex]d^2(y)/d(x^2) = -20[/tex]

The above equation is negative for all values of x which indicates that at x=5 we will have the maximum value.

So, the number of trees for maximum apple will be (30+x)

So, 30+5 = 35 trees per acre will give the largest crop of apple.

Hence 5 additional trees give maximum yield and 35 trees per acre will give largest crop of apple.

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The marked price of the radio is Rs 10000.

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

Discount = 10%

VAT = 13%

VAT - Selling price = 1170

Represent the price of the radio with x

Using the above as a guide, we have the following:

Discount = 10% implies 0.9x

VAT = 13% implies 0.9x * 1.13 = 1.017x

So, the difference is

1.017x - 0.9x = 1170

This gives

0.117x = 1170

Divide

x = 10000

Hence, the price of the radio is Rs 10000.

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Step-by-step explanation:

= 9>x or. = 11<x.

Here is the answer

Answer:

13 or 17

-------------------

Given numbers:

Put them in the ascending order:

Let the possible number to be added be x.

Since x is the median, it should be between 13 and 17:

Also x is the mode. As we see all 6 number are unique, x should be repeat of 13 or 17 in order to be a mode. Therefore the possible number that can be written on the blank card is either 13 or 17.

The equation of the quadratic equation whose root are 5 and -9 is x² +4x -45

quadratic equation is a second-order polynomial equation in a single variable x ax²+bx+c=0. with a ≠ 0 . Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The equation of a quadratic is given as :

x²-(alpha+beta)x + alpha×beta = 0

where alpha and beta are the roots of the quadratic equation.

alpha+beta = 5-9 = -4

alpha × beta = -9× 5 = -45

therefore the equation will be;

x²-(-4)x + ( -45) = 0

x² + 4x -45 = 0

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The number of fluids remaining after x weeks is given by the following equation:

y = 100 - 9x.

Hence the number of fluids remaining after week x is found replacing x by the week at the above equation.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

For this problem, the parameters are given as follows:

Hence the function is given as follows:

y = 100 - 9x.

The problem is incomplete, hence the function used to obtain the amounts is presented.

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B. East Meets West: Natives’ Perspectives is most likely a compare-and-contrast essay because it is directly comparing the perspectives of people from the East and West coasts. The other titles are more descriptive or subjective in nature, rather than focused on comparing and contrasting two different things.

A right isosceles triangle is a triangle with a right angle (90 degrees) and two sides that are equal in length. This means that the triangle is also a special case of an isosceles triangle where the two equal sides are adjacent to the right angle.

To identify a right isosceles triangle among a group of shapes, you should look for the shape that has a right angle and two sides of equal length. One way to check for the right angle is to look for a corner that forms a square angle (i.e., 90 degrees), and one way to check for the equal sides is to compare the length of each side.

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The following question may be like this:

What is a right isosceles triangle?

Answer:

-94.94

Step-by-step explanation:

f(x)=23.2x+2.5

Let x = -4.2

f(4)=23.2(-4.2)+2.5

    =-97.44+2.5

    =-94.94

Answer:

Since x = -4.2, just fill it in the equation and solve:

23.2 * -4.2 + 2.5 =

23.2 * -4.2 = -97.44

-97.44 + 2.5 = -94.94

f(x) = -94.94

Step-by-step explanation:

Hope it helps! =D

Hope it ain't wrong either. If so, I'm sorry.

Answer:

the answer will be based on which is the base and height, the area of a parallelogram is base×height(bh) so, all you have to do is multiply the base with the height. For example if the base is 7cm, height is 12cm, and the other side is 3cm. The area of the parallelogram from the question will be 84cm²

A one-sample t-test should not be carried out in this setting because the data is in the form of a frequency distribution and is not continuous, and the distribution is not normal.

In statistics, a one-sample t-test is used to determine whether a sample mean is significantly different from a known population mean. However, in this scenario, the data collected and analyzed is in the form of a frequency distribution, where the percent of purchases for which an alternative supplier offered a lower price was recorded.

A frequency distribution shows the number of times a particular value or range of values occurs in a dataset. In this case, the frequency distribution shows the number of invoices that had a certain percentage of purchases for which an alternative supplier offered a lower price. This type of data is not suitable for a one-sample t-test because a t-test requires continuous data, which is not the case here.

Furthermore, a one-sample t-test assumes that the data is normally distributed. A histogram of the data in this scenario shows that the distribution is not symmetrical and does not resemble a normal distribution. Therefore, carrying out a t-test would not be appropriate.

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Answer:

I didn't understand the question 100% but I think the question is asking you to give an equation from the given one

so the answer will be

-s divided over tq

Answer:

8π

Step-by-step explanation:

The period of a function f(x)  is the x-distance between two repeating points of the function

Looking at the function graph given we see that the function reaches a peak value(called amplitude) at x = -6π and then again reaches this value at x = 2π

So the x-distance is 2π - (-6π) = 2π + 6π = 8π

From 2π, the function reaches its maximum value again at 10π giving the period once again as 10π - 2π = 8π

Let's call the width of the rectangle "w".

According to the problem, the length of the rectangle is 12 meters more than 5 times the width, so we can write that as:

L = 5w + 12

And the area is given as 32 square meters, so we can write that as:

A = L * w = 32

Now we have two equations:

5w + 12 = L

L * w = 32

We can use the first equation to substitute the value of L in the second equation:

L = 5w + 12

32 = (5w + 12) * w = 5w^2 + 12w

Expanding the right side of the equation, we get:

32 = 5w^2 + 12w

Now we have a quadratic equation that we can solve for w. To do this, we can use the quadratic formula:

w = (-b ± √(b^2 - 4ac)) / 2a

where a = 5, b = 12, and c = -32. Plugging in these values, we get:

w = (-12 ± √(12^2 - 4 * 5 * -32)) / (2 * 5)

w = (-12 ± √(144 + 640)) / 10

w = (-12 ± √(784)) / 10

w = (-12 ± 28) / 10

w = (16 / 10) or ( -40 / 10)

w = 1.6 or -4

Since the width cannot be negative, the width must be 1.6 meters.

When a point (x, y) is reflected across x-axis then (x, -y) will be the new point and  reflected across y-axis then (-x, y) be the point.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Graph transformation is the process by which a graph is modified to give a variation of the proceeding graph

Reflection is a process of transformation.

A reflection is a transformation representing a flip of a figure. Figures may be reflected in a point, a line, or a plane.

Let the coordinates of a point be (4, 3).

When the coordinates of a point that is related by a reflection over the x-axis, then the new coordinate will be (4,-3).

(x, y)---->(x, -y)

The reflection of point (x, y) across the y-axis is (-x, y).

(x, y)---->(-x, y)

(4,3)  reflection across the y-axis is (-4, 3).

Hence, the reflection of point (x, y) across the y-axis is (-x, y) and  reflection of point (x, y) across the x-axis is (x, -y).

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Answer:

(x + 6)² + (y - 5)² = 16

Step-by-step explanation:

Number of cubes with edge length 1/2cm that fit in the prism is 11160 and the volume of the prism is 1395 cubic centimeter

Dimensions of the rectangular prism = [tex]7\frac{1}{2}[/tex] cm × 12 cm × [tex]15\frac{1}{2}[/tex] cm

Convert the mixed fraction to the simple fraction

The dimensions of the rectangular prism = 15/2 cm × 12 cm × 31/2 cm

The volume of the rectangular prism = w × l × h

Where

w is the width

l is the length

h is the height

The volume of the rectangular prim = 15/2 × 12 × 31/2

= 1395 cubic centimeter

The side off the cube = 1/2 cm

Volume of the cube = a^3

= (1/2)^3

= 0.125 cubic centimeter

Number of cubes will fit in rectangular prism = Volume of rectangular prism /  Volume of the cube

= 1395 / 0.125

Divide the terms

= 11160 cubes

Therefore, 11160 cubes will fit in the rectangular prism and the volume of the prism is 1395 cubic centimeter

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The option is: Parameters summarize data or relationships in the population and are usually estimated from a sample.

Parameters are numerical values that describe a population, and they are usually estimated from a sample. Parameters summarize important characteristics of the population, such as the mean, variance, or correlation between variables. These characteristics may vary across different entities in the population, such as individuals, households, or businesses.

In statistical analysis, parameters are important because they allow us to draw inferences about the population from a sample. By estimating parameters from a sample, we can make generalizations about the population and test hypotheses about relationships between variables.

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