shelby earned $20 babysitting she spent 30%of her earnings at the mall what decimal represents the part of her earnings shelby spent?

The p-value (rounded to four decimal places) is 0.2709.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

We are given that;

p = 477/1000 = 0.477

p = 0.48

n = 1000

Now,

The test statistic for a hypothesis test for a proportion is given by:

z = (pi - p) / sqrt(p * (1 - p) / n)

where p is the sample proportion, p is the hypothesized proportion under the null hypothesis, n is the sample size, and sqrt is the square root function.

Substituting these values into the formula, we get:

z = (0.477 - 0.48) / sqrt(0.48 * 0.52 / 1000) ≈ -0.61

We find that the area to the left of z = -0.61 is approximately 0.2709 This means that the probability of getting a test statistic as extreme or more extreme than -0.61, assuming the null hypothesis is true, is 0.2709

Therefore, by probability the answer will be 0.2709

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Answer:

Left-hand side: \(\displaystyle -\frac{1}{2}\, \ln(5)\).

Right-hand side: \(\displaystyle \frac{1}{2}\, \ln(5) - \ln(5)\).

Step-by-step explanation:

Apply the logarithm power rule: \(\ln \left(x^{a}\right) = a\, \ln (x)\) for all \(x >0\).

This property is not only true for logarithm to the base \(e\), but for other bases, as well.

Take the logarithm (to the base \(e\)) of the left-hand side of this equation:

\(\displaystyle \ln \left(5^{-1/2}\right) = (-1/2)\, \ln(5)\).

For the right-hand side of this equation, consider the logarithm quotient rule:

\(\displaystyle \ln \left(\frac{a}{b}\right) = \ln(a) - \ln (b)\) for all \(a> 0\) and \(b > 0\).

Indeed, on the right-hand side of this equation, \(\sqrt{5} > 0\) and \(5 > 0\). Therefore:

\(\displaystyle \ln\left(\frac{\sqrt{5}}{5}\right) = \ln\left(\sqrt{5}\right) - \ln(5)\).

This expression could be further simplified. Notice that \(\sqrt{x}\) is equivalent to \(x^{1/2}\) for all \(x \ge 0\). (Think about how \(\sqrt{x} \cdot \sqrt{x} =x\) whereas \(x^{1/2} \cdot x^{1/2} = x^{(1/2) + (1/2)} = x\).)

Therefore, \(\ln \left(\sqrt{5}\right)\) would be equivalent to \(\ln\left(5^{1/2}\right)\). Apply the logarithm power rule to show that \(\displaystyle \ln\left(5^{1/2}\right) = \frac{1}{2}\, \ln(5)\).

\(\begin{aligned} \text{R.H.S.} &= \ln\left(\frac{\sqrt{5}}{5}\right) \\ &= \ln\left(\sqrt{5}\right) - \ln(5) \\ &= \frac{1}{2}\, \ln(5) - \ln (5) = -\frac{1}{2}\, \ln(5)\end{aligned}\).

Indeed, the left-hand side of this equation matches the right-hand side.

-13y + 7 - 11 - 4y can be written as -17y - 11.

Expression is a way of conveying emotions, thoughts, or ideas through verbal or nonverbal means. It is often used to communicate an individual's feelings, beliefs, or opinions, and can be expressed through language, art, music, dance, and other forms of communication. Expression can be used to convey a wide range of emotions, from joy and excitement to anger and sorrow. Expression is an essential part of communication, and without it, we would not be able to effectively convey our thoughts, feelings, and desires. The way we express ourselves can also be a reflection of our personality and can give people an insight into who we are. Expression is also important for self-expression, as it allows us to explore our own thoughts and emotions, and express them in a way that may be more comfortable for us.


This can further be written as -17y × (-1) - 11. Therefore, the expression can be written as a multiplication as -17y × (-1) - 11.

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Answer:

The slope of the line is -5/7

Step-by-step explanation:

\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}=\frac{-1-4}{4-(-3)}=\frac{-5}{4+3}=-\frac{5}{7}\)

Answer:

the answer is d

Step-by-step explanation:

Answer:

7474/6=1245 2/3

The area of the rectangle will be 150 square meters.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that:-

The area will be calculated as follows:-

From the given condition in the question, we can form two linear equations they are:-

The length of a rectangle is 5 m longer than its width.

L = w + 5

L - w = 5

The perimeter of the rectangle is 50 m.

P = 2 (L + w )

2 ( L+ w ) = 50

L + w = 25

by solving the two equations we will get the values of L and w.

L - w = 5  or w = L - 5

L + w = 25

L + L - 5 = 25

2L = 30

L = 30 / 2

L = 15

Put the value of L in any equation to get w.

L - w = 5

15 - w = 5

w = 10

Now the area of the rectangle will be:-

A = L x w

A = 15 x 5

A = 150 square meters.

Therefore the area of the rectangle will be 150 square meters.

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we know that

The area of circle is equal to

A=pir^2

The circumference of a circle is

C=2pir

therefore

Compute the circumference

The additive inverse of the given mathematical operation 3+(-5) is 2.

So, 3+(-5):

Then, add 2 as follows:

Therefore, the additive inverse of the given mathematical operation is 2.

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Answer:

2/9

Step-by-step explanation:

set: 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18 (18 numbers)

factors of 6: 1,2,3,6 (4 numbers)

probabilty that the number is a factor of 6: 4/18 = 2/9

(a) If f(x) is to be a proper density function, then its integral over the given support must evaulate to 1:

\(\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx = \int_0^\infty cxe^{-x^2}\,\mathrm dx=1\)

For the integral, substitute u = x ² and du = 2x dx. Then as x → 0, u → 0; as x → ∞, u → ∞:

\(\displaystyle\frac12\int_0^\infty ce^{-u}\,\mathrm du=\frac c2\left(\lim_{u\to\infty}(-e^{-u})-(-1)\right)=1\)

which reduces to

c / 2 (0 + 1) = 1   →   c = 2

(b) Find the probability P(1 < X < 3) by integrating the density function over [1, 3] (I'll omit the steps because it's the same process as in (a)):

\(\displaystyle\int_1^3 2xe^{-x^2}\,\mathrm dx = \boxed{\frac{e^8-1}{e^9}} \approx 0.3678\)

Answer:

as for the other stuff you need to update my 45=44

Using translation concepts, the trigonometric graph is given by:

y = sin(x) + 1 = 1sin(1x) + 1.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The parent function given in this problem is:

y = sin(x).

The dashed line is a shift up one unit of the parent function, hence the definition is:

y = sin(x) + 1 = 1sin(1x) + 1.

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Step-by-step explanation:

To calculate the required monthly payment to accumulate $32,000 in 10 years at an APR of 7.9% compounded monthly for an annuity, we can use the formula for the present value of an annuity due:

PV = PMT × ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n)

where:

- PV is the present value of the annuity due ($32,000)

- PMT is the monthly payment we want to find

- r is the annual interest rate (7.9%)

- n is the number of times interest is compounded per year (12 for monthly compounding)

- t is the number of years (10)

PMT = PV / ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n) = **$292.07**

Therefore, the required monthly payment to accumulate $32,000 in 10 years at an APR of 7.9% compounded monthly for an annuity is **$292.07**.

Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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Answer:

8L had it done correct on a quiz

Step-by-step explanation:

Roland's percent error is approximately 3.889%.

This means that his measured value differs from the actual value by 3.889% or 0.03889 in decimal form.

The positive sign indicates that Roland's measured value is slightly lower than the actual value.

To calculate Roland's percent error, we can use the formula:

Percent Error = (|Measured Value - Actual Value| / Actual Value) \(\times\) 100

Given that Roland measured a current of 0.173 amps while expecting a current of 0.180 amps, we can substitute these values into the formula:

Percent Error = (|0.173 - 0.180| / 0.180) \(\times\) 100

Simplifying the expression within the absolute value:

Percent Error = (|-0.007| / 0.180) \(\times\) 100

Since the absolute value of -0.007 is 0.007, we have:

Percent Error = (0.007 / 0.180) \(\times\) 100

Calculating the division:

Percent Error = 0.03889 \(\times\) 100

Percent Error = 3.889%.

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Answer:

There are two solutions

1: -7/4

2: -1

Step-by-step explanation:

Hope this helps

Brain-List?

Based on the frequency table given,

a) The minimum number of dogs that could have a mass of more than 26 kg is of: 5.

b) The maximum number of dogs that could have a mass of more than 26 kg is of: 16.

The frequency table displays the number of times each value, or range of values, appears in the data-set.

where 11 weights are between 20 and 30,  and all of the dogs in the interval 20 × 30 have weights less than 26 kg, the lowest number of dogs that might have a mass more than 26 kg is 5.

This  implies that only the dogs in the period 30 x 40 would have a mass greater than 26 kg.

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Answer:

-1536

Step-by-step explanation:

By taking the general formula for the geometric sequence, we substitute the variables with the values of our sequence, finding -1536 as the 11th term

Answer:

The measurement  of side LI = 24

Step-by-step explanation:

In the question, it is given that Quadrilateral IJKL is reduced to quadrilateral I'J'K'L' which is 1/2 the times of measurement of side of the Quadrilateral IJKL

I'L' = 12

And IL will be 2 times the measurement of I'L'

Hence, IL = 2*12 = 24

Answer:

it is A

Step-by-step explanation:

Using an algebraic equation to represent the word problem, the smallest integer is 1

This is a way of representing mathematical problems with words. To solve this, we have to use algebraic equations or expressions.

Let the integers be represented as

We can write an equation from the word problem given as

7 × (x + 2) = 15 + [x + (x + 4)]

7x + 14 = 15 + x + x + 4

7x + 14 = 15 + 2x + 4

collect like terms

7x - 2x = 15 - 14 + 4

5x = 5

Divide both sides by coefficient of x

5x / 5  = 5 / 5

x = 1

The smallest integer is 1

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Translation:

Find the smallest of three consecutive odd integers such that 7 times the middle integer is 15 more than the sum of the first and third integers

Using basic geometry and applying the fence only on 3 sides, The required dimensions of the plot to have maximum area is 200 x 200.

A subfield of mathematics called geometry examines the dimensions, placements, angles, and sizes of objects.

In mathematics, a dimension is the length or width of an area, region, or space in one direction. It is just the measurement of an object's length, width, and height.

fence length available = 600m

We only need to fence 3 sides. So length in each side = 600/3

=200m

So, Final dimension = 200 x 200

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Therefore , the solution of the given problem of expressions comes out to be log4 256 = 4.

Estimates should not be produced at random but rather by increasing, decreasing variable, and stopping moving numbers. They could only be able to assist one another by transferring equation, resources, or answers to problems. In addition to numerical computations as addition, negation, synthesis, and combination, a statement of truth may also contain formulas, components, and notations.

Here,

With the help of the change-of-base formula, we can evaluate this expression:

=>  256 log4 = 256 / log (4)

Using base ten common logarithms or base e natural logarithms, we can reduce the complexity of the numerator and denominator:

Common logarithms are used here: log(256) = 2.4082 (rounded to four decimal places), log(4) = 0.6021. (rounded to 4 decimal places)

=>  log4 256 = 2.4082 / 0.6021 = 4

Natural logarithms are used here: ln(256) = 5.5452 (rounded to four decimal places), and ln(4) = 1.3863 (rounded to 4 decimal places)

=> log4 256 = 5.5452 / 1.3863 = 4

As a result, log4 256 = 4.

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The expected total dollar net operating Income for next year = $70,000

1) The contribution format income statement for the game last year, and the degree of operating leverage is computed below:

Contribution format income statement for the game last year Sales (15,000 × $20) = $300,000

Variable expenses (15,000 × $6) = $90,000

Contribution margin = $210,000

Fixed expenses = $182,000Net operating income = $28,000

Degree of operating leverage = Contribution margin / Net operating income= $210,000 / $28,000= 7.5 2)

The expected percentage increase in net operating income for next year:

The expected sales in next year = 18,000

games selling price per game = $20

Therefore, Total sales revenue = 18,000 × $20 = $360,000

Variable expenses = 18,000 × $6 = $108,000

Fixed expenses = $182,000

Expected net operating income = Total sales revenue – Variable expenses – Fixed expenses

= $360,000 – $108,000 – $182,000= $70,000

The expected percentage increase in net operating income = (Expected net operating income - Last year's net operating income) / Last year's net operating income*100= ($70,000 - $28,000) / $28,000*100= 150%

The expected total dollar net operating income for next year = $70,000

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Answer:

I think the answer is 5.08

Answer:

is this correct? hope it works

Answer:

The difference of a number and 4 is 11

=> That number is 11 + 4 = 15  

The quotient of a number and 13 is 78

=> The number is 13 x 78 = 1014

6.5 more than a number is 19.1

=> The number is 19.1 - 6.5 = 12.6

Hope this helps!

:)

Answer:

1 is 50 and 2 is 75

Step-by-step explanation:

i did the work

The final output of the algorithm is 42; being the second least entire numeral that cannot be acquired from the picked equation.

It should be noted that to accurately identify the solution to this predicament, one must understand all possible amalgamations of four elementary arithmetic operations and parentheses, then scrutinize each resulting expression to detect the second smallest whole number that is not attainable.

An efficient tactic to adopt during this process is to use an iterative function which conceptualizes each action and positioned pair of parenthesis, evaluates the created expressions, produces a set of accomplished values, sequences them in order, and at last locates the second minutest non-obtainable figure. The final output of the algorithm is 42; being the second least entire numeral that cannot be acquired from the picked equation.

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