Find the sum: 73 + 751 + 1,239 + 13,907 =

The standard deviation of the data sample is 2.55.

The standard deviation of the data sample is calculated by applying the following formula;

S.D = √ (x -  μ)²/(n - 1)

where;

The given parameters;

mean,  μ = 64

x, = 12

number of samples = 9

The standard deviation of the data sample is calculated as;

S.D = √ (12 -  64)²/(9 - 1)

S.D = 2.55

Thus, the standard deviation of the data sample is calculated by applying the formula for standard deviation.

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Answer:

3 is les than 3.58

Step-by-step explanation:

3 is less than 3.58

Answer:

3.57

Step-by-step explanation:

Answer:

fourth

5/3

Step-by-step explanation:

edge2021

Answer:

Fourth

5/3

Step-by-step explanation:

2 cups you need to fill the jug to 4.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

It depends on the size and markings of the jug.

If we assume that the jug is divided into equal intervals and each interval represents an equal volume,

then we can say that filling the jug to the second interval means that the jug is 1/2 full.

To fill the jug to the fourth interval, we need to fill the remaining 2 intervals, which means we need to add another 2 cups of liquid.

So, the answer is 2 cups.

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The required value of v is -2 for a given line with a slope of 8.

The slope of a line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

Given data as :

The points given are (-2,-10) and (-1, v).

Since the line with a slope of 8.

So in this case, we have:

m = (v - (-10)) / (-1 - (-2))

Solving for v:

8 = (v + 10) / 1

8 = (v + 10)

v = -10 + 8

Apply the subtraction operation, and we get

v = -2

Thus, the required value of v is -2.

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Answer: 6 in

Step-by-step explanation:

\(a^{2}= c^{2} - b^{2}\)

\(a=\sqrt{10^{2}-8^{2} }\)

a=6 in

\([6(\cos 70^{\circ} + i \sin 70^{\circ})]^3\\\\=6^3[ \cos ( 3 \times 70)^{\circ} + i \sin ( 3 \times 70)^{\circ}]\\\\=216 [\cos(210^{\circ}) + i \sin( 210^{\circ})]\\\\=216[\cos(2\times 90^{\circ} + 30^{\circ}) + i \sin( 2 \times 90^{\circ} + 30^{\circ})]\\\\=216[-\cos 30^{\circ}-i\sin 30^{\circ}]\\\\=216\left[-\dfrac{ \sqrt 3} 2 - i \cdot \dfrac 12 \right]\\\\=-108\left(\sqrt 3 +i \right)\)

Answer: y=-3x-4

Step-by-step explanation:

Since we know slope, we can plug it into slope-intercept form to find the y-intercept by using the given points,

y=-3x+b

8=-3(-4)+b

8=12+b

b=-4

Now that we know the y-intercept, we can complete the slope-intercept form.

y=-3x-4

Using the same-side interior angles theorem,

\(8x+30+6x+24=180 \\ \\ 14x+54=180 \\ \\ 14x=126 \\ \\ \boxed{x=9}\)

Using vertical angles,

\(6(9)+24=10y+2 \\ \\ 78=10y+2 \\ \\ 10y=76 \\ \\ \boxed{y=7.6}\)

The answer is O C. 7

Answer: 81

Step-by-step explanation: trust me dawg

Answer:

\(\frac{dy}{dx} =-\sqrt[3]{\frac{y}{x} }\)

Step-by-step explanation:

Recall that using the chain rule we can state:

\(\frac{dy}{dt} =\frac{dy}{dx}*\frac{dx}{dt}\)

and therefore solve for dy/dx as long as dx/dt is different from zero.

Then we find dy/dt  and dx/dt,

Given that

\(x=sin^3(t)\\dx/dt = 3 sin^2(t)* cos(t)\)

And similarly:

\(y=cos^3(t)\\dy/dt=-3\,cos^2(t)*sin(t)\)

Therefore, dy/dx can be determined by the quotient of the expressions we just found:

\(\frac{dy}{dx} =\frac{dy/dt}{dx/dt} =\frac{-3\,cos^2(t)*sin(t)}{3\,sin^2(t)*cos(t)} =-\frac{cos(t)}{sin(t)}\)

now notice that we can find   \(cos(t) = \sqrt[3]{y}\)  from the expression for y,

and   \(sin(t) = \sqrt[3]{x}\)  from its expression for x.

Therefore dy/dx can be written in terms of x and y as:

\(\frac{dy}{dx} =-\frac{cos(t)}{sin(t)}=-\sqrt[3]{\frac{y}{x} }\)

The quotient is 2x^2-5 and remainder is -4

The necessary steps are:

p(x)= 6x^3 + 4x^2 - 15x−14

∴ degree of p(x) is 3.

g(x)=3x+2

∴ degree of g(x) is 1.

∴ degree of quotient q(x)=3−1=2,

and degree of remainder r(x) is zero.

Let, q(x)=ax2+bx+c (Polynomial of degree 2) and r(x)=k (constant polynomial)

By using division algorithm, we have

p(x)=[g(x)×q(x)+r(x)]

=6x^3 + 4x^2 -15x−14 = (3x+2)(ax2 + bx +c)+k

=3ax^3 + 3bx^2 + 3cx + 2ax^2 +2bx+2c+k

∴6x^3 + 4x^2 - 15^x - 14 = 3ax^3 + (3b+2a)x^2 + (3c+2b)x + 2c+k

We have cubic polynomials on both the sides of the equation.

∴ Let us compare the coefficients of x^3, x^2 ,x and k to get the values of a,b,c.

6=a, it is the coefficient of x^3 on both sides

4=3b+2a, it is the coefficient of x^2 on both sides

-15=3c+2b, it is the coefficient of x on both sides

−14=2c+k, it is the constant term on both sides

∴ the quotient is 2x^2 - 5 and the remainder is -4.

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Using trigonometric identities, we found that sec Φ = -7/(2√10), sin Φ = 3/7, tan β = √11/5, and sin β = √11/6 for the given values of csc Φ, cot Φ, and sec β.

1. We can start by using the Pythagorean identity to find the values of sin Φ:

\(sin^2\) Φ + \(cos^2\) Φ = 1

Since csc Φ = 1/sin Φ, we can substitute and solve for sin Φ:

1/(7/3) = sin Φ

sin Φ = 3/7

Next, we can use the fact that cot Φ = cos Φ/sin Φ:

cot Φ = cos Φ/(3/7) = - (2√10)/(3)

Simplifying this expression, we get:

cos Φ = - (2√10)/(3) * (3/7) = - 2√10/7

Finally, we can use the fact that sec Φ = 1/cos Φ:

sec Φ = 1/(- 2√10/7) = -7/(2√10)

2. We can use the fact that sec β = 1/cos β to find the value of cos β:

sec β = 6/5

cos β = 5/6

Next, we can use the Pythagorean identity to find the value of sin β:

\(sin^2\) β + \(cos^2\) β = 1

sin β = √(1 - \(cos^2\) β) = √(1 - 25/36) = √(11/36) = √11/6

Finally, we can use the fact that tan β = sin β/cos β:

tan β = (√11/6)/(5/6) = √11/5

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Answer:

  38.0 m/s

Step-by-step explanation:

Units conversion can be done by multiplying by appropriate conversion factors. Each conversion factor has a value of 1: the numerator is equal to the denominator, but the units are different. The units are chosen so that cancelling unwanted units gives the set of units you want.

__

  \(\dfrac{85\text{ mi}}{1\text{ h}}\times\dfrac{1.61\text{ km}}{1\text{ mi}}\times\dfrac{1000\text{ m}}{1\text{ km}}\times\dfrac{1\text{ h}}{3600\text{ s}}=\dfrac{85\cdot1.61\cdot1000\text{ m}}{3600\text{ s}}\\\\\approx\boxed{38.0\text{ m/s}}\)

The absolute value inequality that models the function is given by:

\(|x| = x, x \geq 0\)

\(|x| = -x, x < 0\)

In this problem, the leading candidate will receive 52% of the votes with a margin of error of no more than 5%. Hence, the difference between his percentage of votes x and 0.52 should be at most plus/minus 0.05, that is:

\(|x - 0.52| \leq 0.05\)

Hence, option b is correct.

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Answer: 111 degrees

Step-by-step explanation:

all angles added up together is 360 degrees

vertical angles = 180 degrees -> 3x+15=R, 2x+5= missing angle

360 = (2x+5)+(2x+5)+(3x+15)+(3x+15)

360 = 10x+40

320 = 10x

32 = x

plug it in

3x+15 -> 3(32)+15 = 111 degrees

Answer:

Step-by-step explanation:

State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.

H₀: u = 50

H₁: u ≠ 50

Null hypothesis: The production line produce bags of candy has an average of exactly 50 candies per bag.

Alternative hypothesis: The production line produce bags of candy does not have an average of exactly 50 candies per bag.

Note that these hypotheses constitute a two-tailed test. The null hypothesis will be rejected if the sample mean is too big or if it is too small.

Formulate an analysis plan. For this analysis, the significance level is 0.05. The test method is a one-sample t-test.

Analyze sample data. Using sample data, we compute the standard error (SE), degrees of freedom (DF), and the t statistic test statistic (t).

SE = s / sqrt(n)

S.E = 1.0

Test Statistic

t = (x - u) / SE

t = - 2.0

DF = n - 1

D.F = 24

where s is the standard deviation of the sample, x is the sample mean, u is the hypothesized population mean, and n is the sample size.

Since we have a two-tailed test, the P-value is the probability that the t statistic having 24 degrees of freedom is less than -2.0 or greater than 2.0.

Thus, the P-value = 0.057

Statistic result

Interpret results. Since the P-value (0.057) is greater than the significance level (0.05), we failed to reject the null hypothesis.

From the above test we have sufficient evidence in the favor of the claim that the production line produce bags of candy with an average of exactly 50 candies per bag.

Step-by-step explanation:

The total price of sneakers including tax will be equal to $20.75.

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the given information in the question,

Price of sneakers = $20

Tax on sneakers = 3.75%

Then, the amount of tax will be,

(20 × 3.75)/100

= 75/100

= $0.75

Then, the total price of the sneakers will be,

$20 + $0.75

= $20.75

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The system of equations that shows the situation is option 1.  L+J=29  L=2J-10

The question tells us that the summation of the age of Latifa and Jameel is 29

Let J = Jameel

L = Latifa

L + J = 29

The question says that Latifa's age is 2 time of Jameels age = 2J with 10 years subracted

L = 2J - 10

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a. The marginal profit function Py is Py = -30x + 47y - 915 and

b. Change in profit if price increase by 1 cent is 831 cents.

To find the marginal profit functions Px and Py, we need to find the partial derivatives of the profit function P(x, y) with respect to x and y, respectively.

Given:

P(x, y) = (x - 40)(55 - 4x + 5y) + (y - 45)(70 + 5x - 7y)

a. Marginal profit function Px:

To find Px, we differentiate P(x, y) with respect to x while treating y as a constant:

Px = ∂P/∂x = (∂/∂x) [(x - 40)(55 - 4x + 5y) + (y - 45)(70 + 5x - 7y)]

Expanding the terms and simplifying:

Px = (55 - 4x + 5y) + (x - 40)(-4) + (70 + 5x - 7y)(5)

Simplifying further:

Px = 55 - 4x + 5y - 4x + 40 + 350 + 5x - 7y

Combining like terms:

Px = 355 - 3x - 2y

b. Marginal profit function Py:

Similarly, to find Py, we differentiate P(x, y) with respect to y while treating x as a constant:

Py = ∂P/∂y = (∂/∂y) [(x - 40)(55 - 4x + 5y) + (y - 45)(70 + 5x - 7y)]

Expanding the terms and simplifying:

Py = (x - 40)(5) + (70 + 5x - 7y)(-7) + (y - 45)(5)

Simplifying further:

Py = 5x - 200 - 7y - 490 - 35x + 49y + 5y - 225

Combining like terms:

Py = -30x + 47y - 915

This is the profit function Py.

b. Estimating the daily change in profit:

To estimate the daily change in profit, we need to evaluate Px and Py at the given prices and calculate the change in profit when the prices are increased as specified.

Given initial prices:

First brand price (x) = 70 cents

Second brand price (y) = 73 cents

To estimate the change in profit, we substitute the initial prices into Px and Py and calculate the results:

Px(70, 73) = 355 - 3(70) - 2(73)

          = 355 - 210 - 146

          = -1

Py(70, 73) = -30(70) + 47(73) - 915

          = -2100 + 3431 - 915

          = 416

The daily change in profit can be estimated by multiplying the changes in price (1 cent for the first brand and 2 cents for the second brand) with the respective marginal profit functions:

Change in profit = ΔP ≈ Px(70, 73) * 1 + Py(70, 73) * 2

               ≈ -1 * 1 + 416 * 2

               ≈ -1 + 832

               ≈ 831 cents

Therefore, the estimated daily change in profit when the salesperson increases the price of the first label by 1 cent and the price of the second label by 2 cents is 831 cents.

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In response to the query, we have that So, depending on the precise equation choice of five positive numbers, the data range might be 5, 6, or 7.

In a math equation, two assertions are connected by the equals sign (=), which denotes equivalence. A mathematical assertion used in algebraic equations establishes the equivalence of two mathematical statements. For instance, in the equation 3x + 5 = 14, the equal sign creates a space between the values 3x + 5 and 14. To comprehend the relationship between the two sentences written on opposing sides of a letter, utilise a mathematical formula. The logo and the specific programme typically correspond. An illustration would be 2x - 4 = 2.

The five positive integers will be denoted as a, b, c, d, and e.

We know that c must equal 5, since the median is 5.

The three integers we now have add up to 15 (a + b + c = 15).

We may write the equation as follows since the mean is 5:

(a + b + c + d + e)/5 = 5

a + b + 18 = 25

a + b = 7

a = 1, b = 6, c = 5, d = 8, e = 8

a = 2, b = 5, c = 5, d = 8, e = 8

a = 3, b = 4, c = 5, d = 8, e = 8

Range = 8 - 1 = 7

Range = 8 - 2 = 6

Range = 8 - 3 = 5

So, depending on the precise choice of five positive numbers, the data range might be 5, 6, or 7.

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Answer:

Solution given:

1.

L.h.s.

cscx+cotx

\( \frac{1}{cosx}+\frac{cosx}{sinx}\)

\(\frac{1+cosx}{sinx}\)

multiplying and dividing by (1-cosx)

\(\frac{(1+cosx)(1-cosx)}{sinx(1-cosx)}\)

\(\frac{1-cos²x}{sinx(1-cosx)}\)

we have

1-cos²x=sin²x

\(\frac{sin²x}{sinx(1-cosx)}\)

\(\frac{sinx}{1-cosx}\)

=R.h.s.

proved.

2.

l.h.s

\(\frac{tan y}{1-cot y}+\frac{cot y}{1-tany}\)

\(\frac{\frac{sin y}{cos y}}{1-\frac{cos x}{siny}}+\frac{\frac{cos y}{sin y}}{1-\frac{siny}{cos y}}\)

\(\frac{\frac{sin y}{cos y}}{\frac{siny -cos y}{siny}}+\frac{\frac{cos y}{sin y}}{\frac{cos y-siny}{cos y}}\)

\(\frac{sin²y}{cos y(siny-cosy)}+\frac{cos ² y}{sin y(cos y-siny)}\)

\(\frac{sin²y}{cos y(siny-cosy)}- \frac{cos ² y}{sin y(-cos y+siny)}\)

\( \frac{sin³y -cos³y}{sinycosy(siny -cosy)}\)

\( \frac{(sin y- cos y)(sin²y+sinycosy+cos²y)}{sinycosy(siny -cosy)}\)

\( \frac{sin²y+cos²y +siny cosy}{sinxcosy}\)

\( \frac{1+sinxcosy}{sinycosy}\)

\(\frac{1}{sinycosy}+1\)

1+cscysecy

R.h.s.

proved.

Answer:

C

Step-by-step explanation:

Answer:

what does this mean. oh wAit iM dematerializinG mvxhkgd

hdgxmgxmgxkgzkgsktxktdktdktdktdtdkgd

Answer:

(3175-4035)/(4035)= -.213 so a 21.3% decrease

Step-by-step explanation:

wish I helped good luck mate

Given:

Find: the exact solution y=f(x) to the differential equation, f(0)=1 and domain of the function.

Explanation:

on integrating both side,

put f(0)=1,

a) The inequality is 2x + 3.5y ≤ 42. b). The three different solutions to the inequality x = 7 and y = 8, x = 10 and y = 6, x = 14 and y = 4.

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

Let x  be the number of bottles of paint that Carmen can buy

Let y be the number of boxes of colored pencils that Carmen can buy

A bottle of paint costs = $2

A box of colored pencils costs = $3.50

She can spend no more than $42 on art supplies.

This means that she can buy bottles of paint worth 2 × x = $2x

She can buy boxes of colored pencils worth 3.5 × y = $3.5y

Since the total amount, she can spend cannot exceed $42,

Then, the equation becomes

2x + 3.5y ≤ 42

b) The three different solutions to the inequality would be three different possible values of x and y can take.

x = 7 and y = 8

x = 10 and y = 6

x = 14 and y = 4

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