What is the probability of randomly selecting a quarter from a bag that has 5 dimes, 6 quarters, 2 nickels, and 3 pennies? 1/8 3/16 3/8 5/16

Aya can make 14 mats of 1 foot long.

Division is one of the fundamental arithmetic operation, which is performed to get equal parts of any number given, or finding how many equal parts can be made. It is represented by the symbol "÷" or sometimes "/"

Given that, Aya has 14\(\frac{2}{5}\) feet of chain. She wants to make pieces foot long mat.

Let can make x mats out of the given chain, since each mat is 1 foot long, so,

1×x =  14\(\frac{2}{5}\)

x = 72/5

x = 14.4

x ≈ 14

Hence, She can make 14 mats out of the given chain.

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To find the balance of the account at the end of the week, we need to calculate all the transactions:

Initial balance: $150

Shoes: -$180

Cash advance: +$300

Repaid debt: -$250

Bank fee: +$110

Cash deposit: -$150

So the final balance would be $150 - $180 + $300 - $250 + $110 - $150 = $-70.

This means the balance of the account at the end of the week would be -$70.

The value of the missing angle Q is: ∠Q = 112°

Supplementary angles are defined as angles that sum up to 180 degrees. Meanwhile, Vertical angles are defined as angles that are opposite of each other when two lines cross. Vertical angles are. congruent, which tells us that that they have the same angle measure.

We are told that:

∠P and ∠Q are supplementary angles. Thus:

∠P + ∠Q = 180°

∠R = 68°

∠P and ∠R are vertical angles and as such:

∠P = ∠R = 68°

Thus:
68° + ∠Q = 180°

∠Q = 180° - 68°

∠Q = 112°

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Answer:

27y + 18z

Step-by-step explanation:

9(3y+2z)

Distribute the 9

9 * 3y + 9* 2z

27y + 18z

The expressions without hyperbolic functions are as follows:

(a) sinh(0) = 0,

(b) cosh(0) = 1,

(c) tanh(0) = 0,

(d) sinh(1) = \((e^{(1)} - e^{(-1)})/2\), and

(e) tanh(1) = \((e^{(1)} - e^{(-1)})/(e^{(1)} + e^{(-1)})\).

The hyperbolic functions sinh(x), cosh(x), and tanh(x) can be defined in terms of exponential functions. We can use these definitions to express the given expressions without hyperbolic functions.

(a) sinh(0) = \((e^{(0)} - e^{(-0)})/2\) = (1 - 1)/2 = 0

(b) cosh(0) = \((e^{(0)} + e^{(-0)})/2\) = (1 + 1)/2 = 1

(c) tanh(0) = \((e^{(0)} - e^{(-0)})/(e^{(0)} + e^{(-0)})\) = (1 - 1)/(1 + 1) = 0

(d) sinh(1) = \((e^{(1)} - e^{(-1)})/2\)

(e) tanh(1) = \((e^{(1)} - e^{(-1)})/(e^{(1)} + e^{(-1)})\)

For expressions (d) and (e), we can leave them in this form as the exact values involve exponential functions. If you want an approximate decimal value, you can use a calculator to evaluate the expression.

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the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.

To find the set difference C - A, we need to remove all elements from A that are also present in C. Let's examine the sets:

C = {0, 6, 12, 18}

A = {2, 4, 6, 8, 10, 12}

We compare each element of A with the elements of C. If an element from A is found in C, we exclude it from the result. After the comparison, we find that the elements 2, 4, 8, 10 are not present in C.

Thus, the set difference C - A is {0, 18}, as these are the elements that remain in C after removing the common elements with A.

Therefore, the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.

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Answer:

2

Step-by-step explanation:

Given

f(x) = | x - 4 | - 9, then

f(- 7) = | - 7 - 4 | - 9

        = | - 11 | - 9 ( absolute value returns a positive value )

        = 11 - 9

        = 2

Answer:

3/1 ; 0/3 ; -191/32 ; 3/456

Step-by-step explanation:

We have to find all the numbers that are expressed with a fraction:

1) is a trap because the division is impossibile

2) true: 3/1 is a fraction

3) true: 0/3 is a possible division and it results 0

4) true: is a fraction

5) true: is a fraction

Answer:

f(n) = 4 x 2^(n-1)

Step-by-step explanation:

The general form of a geometric sequence is given by:

an = ar^(n-1)

where a is the first term, r is the common ratio, and n is the term number.

Using the given sequence, we can find the values of a and r:

a = 4

r = 8/4 = 2

Therefore, the function that generates this sequence is:

f(n) = 4 x 2^(n-1)

For example, when n = 1, f(1) = 4 x 2^(1-1) = 4 x 1 = 4, which is the first term of the sequence. When n = 2, f(2) = 4 x 2^(2-1) = 4 x 2 = 8, which is the second term of the sequence, and so on.

The minimum required sample size is 47 as it is very important for safety, the 99% confidence interval needs to have a margin smaller than 0.06.

To estimate the mean tensile strength for roof hangers with a 99% confidence interval margin of 0.06, we can use the formula:

Margin of error = z* (standard deviation / sqrt(sample size))

where z is the z-score for the desired confidence level, which for a 99% confidence interval is 2.576.

Plugging in the given values, we get:

0.06 = 2.576 * (0.25 / sqrt(sample size))

Solving for the sample size, we get:

sample size = (2.576 * 0.25 / 0.06)^2

sample size = 89.59

Rounding up to the nearest whole number, the minimum required sample size is 90.

Therefore, we need to take a sample of at least 90 roof hangers to estimate the mean tensile strength with a 99% confidence interval margin of 0.06.

To estimate the mean tensile strength for roof hangers with a 99% confidence interval and a margin of error smaller than 0.06, you'll need to determine the minimum required sample size.

For a 99% confidence level, the Z-score (critical value) is approximately 2.576.

The known standard deviation is 0.25. The desired margin of error is less than 0.06. Use the formula:

Margin of Error = Z-score * (Standard Deviation / sqrt(Sample Size))

Rearrange the formula to find the sample size:

Sample Size = (Z-score * Standard Deviation / Margin of Error)^2

Sample Size = (2.576 * 0.25 / 0.06)^2

Sample Size ≈ 46.24

Since you cannot have a fraction of a sample, round up to the nearest whole number. The minimum required sample size is 47.

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Answer:

7.5p + p

Step-by-step explanation:

If P is increasing by 7.5 percent, you multiply 7.5 by P to find how much it's increasing by. Then you add it to P to get the total amount.

For example, if P was 1,200, this would be the equation:

7.5(1200) + 1200

9000 + 1200 = 10,200

The margin of error is 0.086 and its C.I is (0.575 , 0.785).

What is margin of error?

n = 117 , x =87

Point estimate for the proportion:

P = x/n

= 81/118

= 0.68644

Confidence = 95%, α = 0.05

From z-table area 0.975 close to z=1.96

Margin of error, E = 1.96 √((0.68*0.55)/130)

= 1.96 * 0.05363

= 0.105

= 0.086

Confidence = P ± E

= 0.68 ± 0.105

=(0.68-0.105 , 0.68+0.105)

= (0.575 , 0.785)

Hence, the margin of error is 0.086 and its C.I is (0.575 , 0.785).

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i am not getting it what are you asking

Answer:

12.77%

Step-by-step explanation:

if a 100% is 9.4

then do

8.2/9.4

which is

0.87234042553

which is

87.23%

then do

100% - 87.23%

which is

12.77%

(a) The general solution to the differential equation is: y = 3 + 1 / (sin(t) + \(\sqrt{C_1}\). (b) The general solution to the differential equation is: y = (±√(arctan(t)) + \(\sqrt{C_2}\). (c) The solution to the initial value problem is: y = (√(arctan(t)) + 4). (d) The solution to the initial value problem is: y = (-√(arctan(t)) + 9).

(a) To solve the differential equation y' = (y - 3)² cos(t) using separation of variables:

First, rewrite the equation as:

dy / (y - 3)² = cos(t) dt

Now, integrate both sides:

integration of 1 / (y - 3)²dy = integration of cos(t) dt

Integrating the left side:

(-1) / (y - 3) = sin(t) + \(\sqrt{C_1}\)

Solving for y:

1 / (y - 3) = -sin(t) - \(\sqrt{C_1}\)

(y - 3) = (-1) / (-sin(t) - \(\sqrt{C_1}\))

Simplifying:

y = 3 - 1 / (-sin(t) -\(\sqrt{C_1}\))

y = 3 + 1 / (sin(t) + \(\sqrt{C_1}\))

So the general solution to the differential equation is

y = 3 + 1 / (sin(t) + \(\sqrt{C_1}\))

(b) To solve the differential equation dy / dt = 1 / (2y(1 + t²)) using separation of variables:

Separate the variables:

2ydy = 1 / (1 + t²}) dt

Integrate both sides:

integration of 2dy = ∫ 1 / (1 + t²) dt

Integrating the left side:

y² = arctan(t) + \(\sqrt{C_2}\)

Solving for y:

y = (± \(\sqrt{(arctan(t)) }\)+ C₂)

So the general solution to the differential equation is

y =( ±\(\sqrt{(arctan(t)) }\) + \(C_2\)

(c) To solve the differential equation dy / dt = 1 / (2y(1 + t²)) with the initial condition y₀ = 2

Using the general solution from part (b), substitute t = 0 and y = 2:

2 =( ±s\(\sqrt{(arctan(0)) }\) )+ \(C_2\)

2 = (±\(\sqrt{C__2}\))

Taking the positive square root:

2 =( \(\sqrt{C_2}\))

4 = \(C_2\)

Substituting the value of C₂ back into the general solution:

y = (\(\sqrt{(arctan(t))}\) + 4)

So the solution to the initial value problem is:

\(y = \sqrt{(arctan(t)} + 4)\)

(d) To solve the differential equation dy / dt = 1 / (2y(1 + t²})) with the initial condition \(y_0 =( -3)\)

Using the general solution from part (b), substitute t = 0 and y = (-3):

(-3) = ±\(\sqrt{(arctan(0)}\) + \(C_2\)

(-3) = ±\(\sqrt{C_2}\)

Taking the negative square root:

(-3) =\(\sqrt{C_2}\)

9 = \(C_2\)

Substituting the value of \(\sqrt{C_2}\) back into the general solution:

y = (-√(arctan(t) + 9))

So the solution to the initial value problem is

\(y = \sqrt{arctan(t) + 9))}\)

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Answer:

i cant see it sorry:(

Step-by-step explanation:

Answer:

if R is rectangles number then :

\(perimeter = 8 + 8 + ( 5*2 * (R))\\\\perimeter = 10R + 16\)

Step-by-step explanation:

Answer:

C. Absolute value is the answer

Answer:

3.38pi

Step-by-step explanation:

Using simple math and the equation for finding the volume of a sphere, we can see that by taking the height of 10, and the volume of 30, that with that information we can deduce that the radius of the cone would be 1.69pi. With this information, we know the radius is half of the diameter. Therefore, we multiply 1.69 by 2, to get our end result, 3.36pi

Answer:

w=pa

Step-by-step explanation:

Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

Answer:

3.3 = \(3^{2}\) = 9

Step-by-step explanation:

Answer:

6. 24

Step-by-step explanation:

A) Use pythogaras theoram

8x8 - 5x5 = axa - bxb = c

64-25= 39

39 square root =6.24

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the3 given angles and equate to 180

x + 6 + 3x - 2 + 7x = 180, that is

11x + 4 = 180 ( subtract 4 from both sides )

11x = 176 ( divide both sides by 11 )

x = 16

Thus

∠ V = x + 6 = 16 + 6 = 22°

∠ W = 3x - 2 = 3(16) - 2 = 48 - 2 = 46°

∠ X = 7x = 7(16) = 112°

The solutions to the equation −11x − 7 = \(-3x^2\), rounded to the nearest tenth, are x ≈ -1.1 and x ≈ 6.1.

An equation is a mathematical statement that shows that two expressions are equal. It is usually written as an expression on the left-hand side (LHS) and an expression on the right-hand side (RHS) separated by an equal sign (=).

The expressions on both sides of the equation can contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The variables in an equation represent unknown values that can vary, while the constants are fixed values that do not change.

Equations are used to represent mathematical relationships or describe real-world situations. They can be used to solve problems, make predictions, and test hypotheses.

To solve an equation, one must find the value of the variable that makes the LHS equal to the RHS. This is done by performing mathematical operations on both sides of the equation to isolate the variable. The goal is to get the variable by itself on one side of the equation, with a specific value on the other side.

Equations can be simple or complex, linear or nonlinear, and can involve one or more variables. Examples of equations include:

2x + 5 = 13

y = \(3x^2\) - 2x + 7

4a + 2b - 3c = 10

Equations are used in many areas of mathematics and science, including physics, chemistry, and engineering, among others.

We are given the equation \(-11x - 7 = -3x^2\).

To solve for x, we can rearrange the equation into a quadratic form by bringing all terms to one side:

\(-3x^2 + 11x + 7\) = 0

We can solve this quadratic equation by using the quadratic formula:

x = (-b ± sqrt(\(b^2\) - 4ac)) / 2a

where a = -3, b = 11, and c = 7.

Substituting these values, we get:

x = (-11 ± sqrt(\(11^2\) - 4(-3)(7))) / 2(-3)

Simplifying inside the square root:

x = (-11 ± sqrt(121 + 84)) / (-6)

x = (-11 ± sqrt(205)) / (-6)

Using a calculator, we can approximate this to:

x ≈ -1.1 or x ≈ 6.1

Therefore, the solutions to the equation \(-11x - 7 = -3x^2\), rounded to the nearest tenth, are x ≈ -1.1 and x ≈ 6.1.

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since r is so widely used, it is appropriate to calculate r for nonlinear data: False.

The calculation of r (Pearson's correlation coefficient) is based on the assumption that the relationship between the two variables is linear. Therefore, it is not appropriate to calculate r for nonlinear data as it may give misleading results.

In summary, it is not appropriate to calculate r for nonlinear data as it assumes a linear relationship between the variables. Other methods such as Spearman's rank correlation or Kendall's tau may be used for nonlinear data.


n: The correlation coefficient 'r' is specifically designed to measure the strength and direction of a linear relationship between two variables. While it is widely used, calculating 'r' for nonlinear data is not appropriate, as it will not accurately capture the true nature of the relationship between the variables.

When dealing with nonlinear data, it is better to use other statistical methods designed for such data, rather than relying on the correlation coefficient 'r'.

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Answer:

Step-by-step explanation:

to find the bottom base you add the two numbers that make it

5+18=23

now put everything in the formula

\(\frac{1}{2}*12(12+23)\\\)

parathesis first

12+23=35

\(\frac{1}{2} *12*35\)

multiply in order

6*35

210

Step-by-step explanation:

i’m doing my geometry homework with the equation 1/2h(b1+b2) but i can’t figure this one out. please help

1/2h (b1 + b2) is the formula for finding the area of ​​the figure (trapezoid)

1/2 * 12 (18 + 5 + 12)=

6 * 35=

210 units²

Given that there are no outliers in the data, the mean of 3.2 inches should be used to characterise the centre of the data represented by this line plot.

It is dependent on whether or not the data set contains outliers.

If there are no outliers, the mean should be utilised.

If this is the case, the median should be utilised.

The dot plot shows how many times each measure appears. Because there are no outliers, all values are near, the mean should be utilised. It is provided by:

M = (2 x 1 + 3 x 2 + 2 x 3 + 1 x 5 + 1 x 6 + 1 x 7)/(2 + 3 + 2 + 1 + 1).

The mean of 3.2 inches should be used to define the data centre in this line graphic.

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Complete question:

What is the best way to describe the center of the data represented in this line plot?

Select from the drop-down menus to correctly complete the statement.

The Choose...is Mean or median Choose.... 2 inches 2.5 inches 3 inches or 3.2 inches

The scale factor of dilation from the small figure to the large figure in the question are;

3. 1 : 4

4. 5 : 6

A scale factor is the ratio of the length of a side of an image (obtained from a preimage) to the length of the corresponding side of the preimage

The scale factor of the polygons obtained from diagrams are;

3. 4.5 yd to 18 yd = 1 to 4

The scale factor is 1 to 4

4. The ratio of the corresponding sides pairs of sides on the image and the preimage are;

Ratio on the large triangle; 42 : 18 = 7 : 3

Ratio on the small triangle; 35 : 15 = 7 : 3

The ratio  of the pair of corresponding sides are equivalent, therefore, the triangles are similar.

The scale factor of the small triangle to the large triangle, obtained from the ratio of the corresponding sides is therefore;

35 : 42 = 5 : 6

15 : 18 = 5 : 6

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