A box of pencils is 5 1/4 inches wide. Seven pencils, laid side by side, take up 2 5/8 inches of the width. How many inches of the width of the box is not taken up by pencils?

The statement " The random device method involves using an apparatus or a procedure to ensure that every member of the population has the same chance of being selected into the sample" is true

The random device method is defined as the method used to choose one member from the population. The random device method is also called the random sampling method. It is also allows the the randomization of sample selection from the population

The selection of member is fully random. So the chances of the being selected will be same for all the members in the population

Therefore, the given statement is true

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The 95% confidence interval will be narrower (have a smaller range) than the 99% confidence interval.(C)

When comparing a 95% confidence interval and a 99% confidence interval using the same sample data, the difference lies in the confidence level. A higher confidence level (99%) requires a wider interval to capture the true population parameter more often.

Conversely, a lower confidence level (95%) requires a narrower interval. This is because increasing the confidence level means increasing the certainty of capturing the true population parameter, which requires a larger range to account for the greater likelihood of inclusion.(C)

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Answer:

Solution given;

area of semi circle=½πr²=1/2×3.14×4²=25.12in²

area of rectangle ABCD=l×b=8×13=104in²

area of rectangle CEFI=l×b=3×6=18in²

Total area =25.12+104+18=147.12in²

Area of circle

Area of centre rectangle

Area of right rectangle

Total

The Relationship between the points D(6, 9) and A(8, 12) can be described as a dilation with a factor of 1.5. Point A is located 1.5 times farther from the origin compared to point D, in both the horizontal and vertical directions. Additionally, A is an enlargement of D.

The relationship between the points D(6, 9) and A(8, 12) can be described in terms of dilations. In mathematics, a dilation is a transformation that changes the size of an object while keeping its shape intact. It involves scaling the object by a certain factor, either enlarging or reducing it.

To understand the relationship between D and A, we can calculate the dilation factor. The dilation factor, denoted by 'k', is the ratio of the corresponding side lengths or distances between the pre-image (original object) and the image (transformed object).

The dilation factor between D(6, 9) and A(8, 12):

First, we need to find the change in x-coordinates and y-coordinates:

Δx = 8 - 6 = 2

Δy = 12 - 9 = 3

Next, we calculate the dilation factor:

k = Δy / Δx = 3 / 2 = 1.5

The dilation factor of 1.5 indicates that the image point A is 1.5 times as far from the origin (point D) compared to the pre-image. This means that A is located at a greater distance from the origin than D, both horizontally and vertically.

Moreover, since the dilation factor is positive, the dilation is an enlargement. This means that A is enlarged with respect to D. The ratio of the corresponding side lengths will also be 1.5.

the relationship between the points D(6, 9) and A(8, 12) can be described as a dilation with a factor of 1.5. Point A is located 1.5 times farther from the origin compared to point D, in both the horizontal and vertical directions. Additionally, A is an enlargement of D.

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The Cartesian equation when rewritten as a polar equation would take the form r (θ) = 1 / 5 tan (θ) sec(θ).

To convert a Cartesian equation to polar coordinates, use the following relations:

x = r cos(θ)

y = r sin(θ)

In the equation y = 5x², we can substitute the expressions for x and y from the polar coordinate system to get:

r sin ( θ )  = 5 ( r  cos ( θ ) ) ²

r = 5 r² cos² ( θ ) / sin ( θ )

r sin(θ) / r = 5r cos²(θ)

sin(θ) = 5r cos²(θ)

r (θ) = 1 / 5 tan (θ) sec(θ)

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Full question is:

Rewrite the Cartesian equation y = 5 x ² as a polar equation.

The calculation is performed in three stages, and the result represents the volume of the object in cubic units.

The expression ∭ e ⎛ ⎝y ln x z ⎞ ⎠dv represents a triple integral, which is a type of mathematical operation that calculates the volume of a 3-dimensional object bounded by certain conditions.

In this particular case, the volume is defined by the limits of integration (1 ≤ x ≤ e, 0 ≤ y ≤ ln x, 0 ≤ z ≤ 1), meaning that it considers only the points in the space that satisfy these conditions.

To understand the triple integral, it is important to understand the concept of single and double integrals.

The calculation of a triple integral is performed in three stages.

First, the integral with respect to x is calculated, then the integral with respect to y, and finally the integral with respect to z.

The expression e ⎛ ⎝y ln x z ⎞ ⎠ represents the integrand, or the function that we are integrating. In this case, it is a product of three functions of x, y, and z.

The ∭ symbol represents the triple integral and the dv represents the differential of the volume, which is used to calculate the volume in small increments.

In conclusion, the triple integral

=> ∭ e ⎛ ⎝y ln x z ⎞ ⎠dv

calculates the volume of a 3-dimensional object defined by the limits of integration.

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Answer:

sadly, there is no indicated angle. you have to attach a photo/screenshot of your problem for anyone to help. There is limited information given from your question.

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

91 is a multiple of 13 because it is divisible by 13.

91 divided by 13 is equal to 7.

This means 91 is a multiple of 13, because you can multiply 13 by 7 to get 91.

Answer:

yes

Step-by-step explanation:

7x13=91

you can multiply a number with 13 to get 91.

The null hypothesis (H0) and alternative hypothesis (Ha) for each situation are a) H0: µ = 18 Ha: µ < 18 b) H0: µ = 50 Ha: µ > 50 c) H0: µ = 24 Ha: µ ≠ 24. Based on the given p-value of 0.02, the decision for each situation are a) Since p < 0.05, we reject the null hypothesis b) Since p < 0.05, we reject the null hypothesis c) Since p < 0.05, we reject the null hypothesis.

The null hypothesis (H0) and alternative hypothesis (Ha) for each situation are as follows:

a) H0: µ = 18 (the mean time for mice to complete the maze is equal to 18 seconds)
Ha: µ < 18 (the mean time for mice to complete the maze is less than 18 seconds)

b) H0: µ = 50 (the mean score for the teaching assistant's students is equal to 50)
Ha: µ > 50 (the mean score for the teaching assistant's students is greater than 50)

c) H0: µ = 24 (the mean score for students who passed the credit examination is equal to 24)
Ha: µ ≠ 24 (the mean score for students who passed the credit examination is not equal to 24)

Based on the given p-value of 0.02, the decision for each situation is as follows:
a) Since p < 0.05, we reject the null hypothesis and conclude that the loud noise does cause the mice to complete the maze faster.
b) Since p < 0.05, we reject the null hypothesis and conclude that the teaching assistant's students do have a higher mean score than the class as a whole.
c) Since p < 0.05, we reject the null hypothesis and conclude that the students who passed the credit examination do differ in their understanding of spoken French from students who actually take the French courses.

These decisions are justified because a p-value less than 0.05 indicates that there is a statistically significant difference between the sample mean and the population mean, and therefore we can reject the null hypothesis and accept the alternative hypothesis.

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The dimensions of the closet are 4 feet long and 12 feet wide and the perimeter is 32 feet

The perimeter of a two-dimensional shape is the total length of the outline. To find the perimeter of a rectangle, we add the lengths of all four sides.

P=2(l+w) where l=length and w = width

Given here rectangular closet is 4 feet long and It is 3 times as wide as it is long. Thus its width would be 12 feet

Now perimeter of the closet using the formula above we get

P = 2(4+12)

   = 32 feet

Hence the perimeter is equal to 32 feet.

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She need to contribute to the account every month, to the nearest dollar is  $26,195.00.

An annual interest rate of 3% compounded monthly. If Gianna would like to end up with $26, 000 after 3 years,

A = $26,195.00

I = A - P = $195.00

A is equal to P(1 + rt).

Calculation:

To start, multiplying R percent by 100 gives us 3%/100, or 0.03 each year.

For ease of calculation, let's convert time to years: 3 months / 12 months / year = 0.25 years.

How to resolve our equation

A = 26000(1 + (0.03 × 0.25)) = 26195\sA = $26,195.00

The total amount accrued, principal plus interest, from simple interest on a principal of $26,000.00 at a rate of 3% per year for 0.25 years (3 months) is $26,195.00.

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Step-by-step explanation:

No, 1% of 40 is the same as 40% of 1. Which is 0.025% You cant have 0.025% of a learner or a human so this isn't possible.

Coupling tetraalkylammonium and ethylene glycol ether side chain is an effective method to enable highly soluble anthraquinone-based ionic species for nonaqueous redox flow battery. The side chains of the tetraalkylammonium are modified with the ethylene glycol ether, which is a highly polar solvent, allowing for better solubility in nonaqueous electrolyte solutions. Additionally, the ethylene glycol ether has the ability to modify the stability of the ionic species, preventing aggregation and ensuring the longevity of the battery. This increases the redox capacity and enhances the performance of the flow battery.

The ethylene glycol ether-tetraalkylammonium coupling has been proven to be an effective method for improving the solubility and stability of anthraquinone-based ionic species. For example, it has been observed that the coupling of ethylene glycol ether to anthraquinone-based ionic species enhanced the current density of the battery by more than 3 times. Furthermore, the coupling process has also been found to improve the energy efficiency and storage capacity of the nonaqueous redox flow battery.

Overall, coupling tetraalkylammonium and ethylene glycol ether side chain is an effective method for enabling highly soluble anthraquinone-based ionic species for nonaqueous redox flow battery. This process has been proven to improve the performance of the battery, including current density, energy efficiency, and storage capacity.

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The value of x is 65. Please note that this solution is based on the assumption that the angles QRP and PSQ are supplementary. If this assumption doesn't hold, feel free to let me know.

We need to find the value of x in the equation ZQRP = (2x + 20)° given that ZPSQ = 30°. Since the question doesn't provide enough information about the relationship between angles QRP and PSQ, I'll assume that they are supplementary angles (angles that add up to 180°). This assumption is based on the possibility that the angles form a straight line or a linear pair.

If angles QRP and PSQ are supplementary, their sum is 180°:

(2x + 20)° + 30° = 180°

Now, we can solve for x:

2x + 50 = 180

Subtract 50 from both sides:

2x = 130

Divide by 2:

x = 65

Answer:

69

Step-by-step explanation:

15*3=45

12*2=24

45+24= 69

Answer: 114

Step-by-step explanation:

15×3+12×2

15×3=45

45+12=57

57×2=114

Answer:

8y = 9x - 7

Step-by-step explanation:

perpendicular means we take the slope as the negative reciprocal.

so

slope is 9/8

y=mx+b

b is -7/8

so the answer is

y=(9/8)x - 7/8

or 8y = 9x - 7

9514 1404 393

Answer:

  Repeating decimals:

  38/6 = 6.3_3   (repeating 3)

Step-by-step explanation:

  \(\dfrac{3}{7}=0.\overline{428571} \quad\text{repea}\text{ting decimal}\\\\\dfrac{2}{5}=0.4\\\\\dfrac{3}{4}=0.75\\\\\dfrac{2}{9}=0.\overline{2}\quad\text{repea}\text{ting decimal}\)

The improper fraction 38/6 = 19/3 = 6 1/3. As a decimal, this is ...

  \(\dfrac{19}{3}=6.\overline{3}\quad\text{repea}\text{ting decimal}\)

_____

The repeating part of a decimal fraction is conventionally written with an overbar, as shown in the typeset content above. In plain text, it is sometimes written with an underscore preceding the repeating digits.

Answer:

The distance between I and T is 1.5

Step-by-step explanation:

Identify each spots value: each spot is worth 0.5

Identify how many spots are in between your points: there are 3

multiply the value and amount: 0.5 × 3 = 1.5

Answer:

\(\displaystyle 1\frac{1}{2}\)

Step-by-step explanation:

Each mark represents \(\displaystyle \frac{1}{2},\)therefore you have this:

\(\displaystyle -3\frac{1}{2} + 5 \Rightarrow -3\frac{1}{2} + 4\frac{2}{2} \\ \\ \boxed{1\frac{1}{2}}\)

I am joyous to assist you at any time.

Answer: Vertical asymptotes is x = 0 and the horizontal asymptotes is y = 12.

The average cost approaches to 12 when the number of shirts increases.

Step-by-step explanation:

Since we have given that

Initial cost for a steamer to apply the declas = $100

Cost of material for  each shirt = $12

Function representing the band's average cost per t-shirt  after x t-shirt are sold is given by:

We need to find the vertical asymptotes , horizontal asymptotes and the average cost to make a t-shirt approaches as the number of t-shirts increases,

For vertical asymptotes , we will make denominator equal to zero.

So, it will be

Thus, vertical asymptotes is x= 0.

Similarly,

For horizontal asymptotes, we first check the degree of both numerator and denominator.

Since we can see that both have the same degree i.e. 1.

So,

So, the horizontal asymptotes is y = 12.

When the number of shirts increases ,The average cost to make a T-shirt approaches is given by

Hence, the average cost approaches to 12 when the number of shirts increases.

Answer:

The vertical asymptote is x = 0

The horizontal asymptote is y = 12

The average cost to make a t-shirt approaches $12 as the number of t-shirts made increases.

Step-by-step explanation:

Answer:

Factors of \(8q^6r^3 + 27s^6t^3\) are \((2q^2r+3s^2t)(4q^4r2-12q^2rs^2t+9s^4t^2)\)

a is \(2q^2r\)

b is: \(3s^2t\)

Step-by-step explanation:

We need to factor \(8q^6r^3 + 27s^6t^3\)

\(8q^6r^3 + 27s^6t^3\\=(2q^2r)^3+(3s^2t)^3\\Applying \ formula: a^3 + b^3 = (a + b)(a^2 - ab + b^2)\\=(2q^2r+3s^2t)((2q^2r)^2-2(2q^2r)(3s^2t)+(3s^2t)^2)\\=(2q^2r+3s^2t)(4q^4r2-12q^2rs^2t+9s^4t^2)\)

So, Factors of \(8q^6r^3 + 27s^6t^3\) are \((2q^2r+3s^2t)(4q^4r2-12q^2rs^2t+9s^4t^2)\)

What is a? a is \(2q^2r\)

What is b? b is: \(3s^2t\)

Answer:

The next answers for the page are 2, 3, 4, 9

Step-by-step explanation:

Answer:

16 Days

Step-by-step explanation:

$8 x 1 = 8

$8 x 16 =  128

16 Days!!!!

If Alicyn makes $8 everyday for babysitting her little sister, It'll take her 16 days to make $128.

Answer:

16 days

Step-by-step explanation:

8x _ = 128

8x 16= 128

Answer:

LM = 45

Step-by-step explanation:

M is the midpoint of LN. If LN = 90, what is LM?

L––––––N

From the question

M is the midpoint of LN.

Hence:

L––M––N

Since M is the Midpoint of LN, it means LN is divided in 2 equal parts

LM , MN

So, LM + MN = LN = 90

If LN = 90, LM = 90/2

LM = 45

Answer:

46

Step-by-step explanation:

You have to add 88 and 46 until you get 180. 88+46 = 134.

134+46 is 180 :D

Answer:

the second one

Step-by-step explanation:

If you see a negative exponent, flip it immediately and make the exponent positive. Then just multiply normally!

Hope it helps! Comment if you have any questions!

Answer:

13.3

Step-by-step explanation:

By using sinus rule

Let

x and y the numbers

we have that

x+y=880,000 -------> equation A

x-y=220,000 ------> equation B

solve the system of equations

solve by elimination

x+y=880,000

x-y=220,000

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

2x=880,000+220,000

2x=1,100,000

x=550,000

Find the value of y

550,000+y=880,000

y=880,000-550,000

y=330,000

the numbers are

550,000 and 330,000

Answer:

y=(1/2)x +0

Step-by-step explanation:

The perpendicular slope formula is just the opposite reciprocal of the original slope.

Answer:

85%

Step-by-step explanation:

The probability that Fiona pulls out a marble that is not white from a  bowl which contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles is 17/20.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

As the probability of an event can not be more than the number 1. Thus the probability of failure of a event is equal to the difference of the 1 to the success of the event.

A bowl contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles.  The total number of marbles in the bowl is,

\(n=5+2+10+3\\n=20\)

The number of white balls in the bowl is 3. Thus, the probability that Fiona pulls out a marble that is white, is,

\(P=\dfrac{3}{20}\)

The probability that Fiona pulls out a marble that is not white is,

\(P^{-1}=1-\dfrac{3}{20}\\P^{-1}=\dfrac{20-3}{20}\\P^{-1}=\dfrac{17}{20}\)

Thus, the probability that Fiona pulls out a marble that is not white from a  bowl which contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles is 17/20.

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