i need help plz show all work

The standard deviation for the given data is c. 0.024 cm.

Let's calculate the standard deviation using the given data:

Diameters: 0.493, 0.534, 0.527, 0.511, 0.565, 0.559, 0.519, 0.562, 0.551, and 0.530.

Find the mean:

Mean = (0.493 + 0.534 + 0.527 + 0.511 + 0.565 + 0.559 + 0.519 + 0.562 + 0.551 + 0.530) / 10

Mean ≈ 0.5411 cm

Calculate the squared differences:

\((0.493 - 0.5411)^2, (0.534 - 0.5411)^2, (0.527 - 0.5411)^2, (0.511 - 0.5411)^2, (0.565 - 0.5411)^2, (0.559 - 0.5411)^2, (0.519 - 0.5411)^2, (0.562 - 0.5411)^2, (0.551 - 0.5411)^2, (0.530 - 0.5411)^2\)

Find the average of the squared differences:

Average = (sum of squared differences) / 10

Take the square root of the average to get the standard deviation.

By calculating the above steps, the standard deviation of the given data set is approximately 0.024 cm.

Therefore, the correct answer is c. 0.024 cm.

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The profit margins (return on sales) for each division are approximately :Division A = 10.85%,Division B = 9.11% and The calculations for the year would be:Net Income = $85,428,Return on Assets = 18.9%.

To compute the profit margins (return on sales) for each division, we divide the profit by the sales and multiply by 100 to express the result as a percentage.

For Division A:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($230,000 / $2,120,000) * 100

Profit Margin ≈ 10.85%

For Division B:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($34,700 / $381,000) * 100

Profit Margin ≈ 9.11%

To calculate the net income and return on assets for Polly Esther Dress Shops Inc., we use the given information.

Net Income = Profit Margin * Sales

Net Income = 7% * $1,220,400

Net Income = $85,428

Return on Assets = Profit Margin * Asset Turnover

Return on Assets = 7% * 2.7

Return on Assets = 18.9%

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By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.

From the given figure, KR=9 units, RL=15 units, MT=7.5 units and TL=12.5 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Consider ΔKML and ΔRTL, we get

RL/KL =15/(15+9)

= 15/24

= 5/8

TL/ML =12.5/(12.5+7.5)

= 12.5/20

= 5/8

Here, RL/KL=TL/ML

Here, ∠KLM≅∠RLT

By SAS similarity, ΔKML and ΔRTL are similar triangles

So, ∠KMT≅∠RTL

By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.

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Answer:

a

Step-by-step explanation:

got it right in edmentum

Joule per meter second is the unit of measurement for momentum flux or power per unit area. It is commonly used in physics and engineering to quantify the rate of energy transfer or momentum flow per unit area.

Joule per meter second (J/m^2s) is not the correct unit for momentum flux or power per unit area. The correct unit for momentum flux is Newton per square meter (N/m^2), also known as Pascal (Pa), while the correct unit for power per unit area is watt per square meter (W/m^2). The joule per meter second (J/m^2s) is actually the unit for volumetric energy dissipation rate, which measures the rate at which energy is being dissipated within a fluid volume per unit volume. It is used in the study of fluid dynamics and turbulence.

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Answer:

59°

Step-by-step explanation:

180°-116°=64°

57°+64°=121

180°-121°=59°

The value of x in the quadratic equation is x = 1 / 4 or x = -2.

The quadratic equation can be solve using factorising by grouping or using quadratic formula.

Therefore, let's solve the quadratic equation as follows;

4x² + 7x - 2 = 0

Hence,

\(\frac{-b+\sqrt{b^{2}-4ac } }{2a}\) or \(\frac{-b-\sqrt{b^{2}-4ac } }{2a}\)

where

a = 4

b = 7

c = -2

Therefore,

\(\frac{-7+\sqrt{7^{2}-4(4)(-2) } }{2(4)}\) or \(\frac{-7-\sqrt{7^{2}-4(4)(-2) } }{2(4)}\)

Hence,

x = 1 / 4 or x = -2

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Answer:

polynomial

Step-by-step explanation:

because poly=more than 1

mono=1

bi= 2

tri=3

#1

Quadratic equation means having degree highest 2

#2

Answer:

B and C

Step-by-step explanation:

(15)

The opposite sides of a parallelogram are equal , so

CD = AB , that is

7x - 54 = 5x - 2 ( subtract 5x from both sides )

2x - 54 = - 2 ( add 54 to both sides )

2x = 52 ( divide both sides by 2 )

x = 26

Then

CD = 7x - 54 = 7(26) - 54 = 182 - 54 = 128 → B

(16)

Consecutive angles are supplementary, sum to 180° , then

6y + 19 + 2y + 9 = 180

8y + 28 = 180 ( subtract 28 from both sides )

8y = 152 ( divide both sides by 8 )

y = 19

Then

∠ B = 6y + 19 = 6(19) + 19 = 114 + 19 = 133°

Opposite angles are congruent , so

∠ D = ∠ B = 133° → C

Two lines that form a right angle at their point of intersection are perpendicular to each other.

The negative reciprocal is equal to the slope of the perpendicular lines. A transversal line is a line that is perpendicular to two parallel lines. Equal pairs of alternate angles and matching angles are created in the case of the transversal line.

When two lines intersect at a right angle, they are perpendicular to each other. The junction is referred to as the point of perpendicularity. The perpendicular lines form a 90-degree angle, and they can be used to create a coordinate system or used in geometric constructions. Such lines are called perpendicular lines.

Correct Question :

Two lines that form a right angle at their point of intersection are called what?

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The null and alternative hypotheses are:

H0: β1 = 0 (The slope is not significant.)

H1: β1 ≠ 0 (The slope is significant.)

Here,β1=0.0943seβ1=0.107α=0.05

Test the slope significance and find the t-test statistic.

We need to find the t-test statistic so that we can compare it with the t-distribution, whose distributional properties we know, to determine if we can reject or fail to reject the null hypothesis.t-test statistic is calculated by dividing the value of β1 by its standard error (seβ1) and taking the absolute value of this quotient.

t-test statistic = | β1/seβ1 | = |0.0943/0.107| = 0.881

The degrees of freedom (df) associated with this t-test are df = n - 2, where n is the sample size for the explanatory variable x.

In this problem, the decision rule and conclusion are as follows:

Decision Rule: Reject the null hypothesis if |t-test statistic| > tc where tc is the critical value obtained from the t-distribution with df degrees of freedom and a significance level of α/2 in each tail.

Conclusion: The slope is not significant if we fail to reject the null hypothesis, but the slope is significant if we reject the null hypothesis. Since the t-test statistic (0.881) is less than the critical value (1.987), we fail to reject the null hypothesis. Therefore, we conclude that the slope is not significant.

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The expression for f(x) is f(x) = x - 2.

We know, function is a relation between a set of inputs (called the domain) and a set of outputs (called the codomain or range), such that each input is associated with exactly one output.

To find f(x) based on the given information that f(5a) = 5a - 2, we need to express the function in terms of x rather than 5a.

Let's substitute x for 5a in the given equation:

f(5a) = 5a - 2

Since x represents 5a, we can rewrite the equation as:

f(x) = x - 2

Therefore, the expression for f(x) is f(x) = x - 2.

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Answer:

not always

Step-by-step explanation:

above

Answer:

x = 4

Step-by-step explanation:

In a parallelogram, the opposite sides are equal/congruent. This means that KL and JM are equivalent.

Step 1: Subtract 12x from both sides.

Step 2: Add 2 to both sides.

Step 3: Divide both sides by -5.

Therefore, x = 4.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

D. For each additional room in the house, the appraised value is estimated to increase $74,800

Step-by-step explanation:

The statistical model is used to predict the appraised value of houses in East Meadows. The value of a house is determined by using variables. The regression model helps to analyse the value of a house. It is predictive modelling technique which determines a relationship between dependent and independent variable.

Given:

a.) The admission fee at a small fair is $2.50 for children and $4.00 for adults.

b.) On a certain day, 2400 people enter the fair and $7140 is collected.

Let,

x = total number of children

y = total number of adults

Let's generate two equations based on the given scenario:

EQUATION 1: Total number of children and adults entered the fair.

EQUATION 2: Total money collected from the admission.

We will be using the substitution method. We get,

Substitute to Equation 2:

Therefore, 1,640 children went to the fair.

For the adults,

x + y = 2400

1,640 + y = 2400

y = 2400 - 1,640

y = 760 adults

In summary: 1,640 children and 760 adults went to the fair.

In this setting, a probability of 0.33 means that out of all the people who fly on United Airlines, 33% of them have a frequent flyer account and accumulate miles for free trips.

The agent helping people confirm reservations and check baggage over the busy Thanksgiving day weekend is recording whether each passenger has a frequent flyer account, which means that for each individual passenger, there are two possible outcomes: either they have a frequent flyer account or they don't.

The probability of a passenger having a frequent flyer account is 0.33, which means that if the agent helps 100 passengers over the Thanksgiving weekend, we would expect approximately 33 of them to have a frequent flyer account, on average.

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Answer:

40

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

it's going up by 3. jjjj

Convergence is a technique used by a professional to gain the audience's trust by using speech they are unfamiliar with. This assertion is untrue.

As in the case of a convergence of plum as well as apricot genetic mutations in the plucot, convergence would be when multiple components combine to form a fresh fact that the entire.

What are convergence & divergence in speech?

Convergence refers to behavioral tactics used by speakers to alter their communication so that it resembles other people's. Divergence, on the reverse hand, relates to interpersonal strategies where a person speaking changes how they speak towards other people in order to emphasize or create differences.

There are three distinct kinds of convergent plate boundaries: oceanic-continental, oceanic-oceanic, as well as continental-continental.

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Answer:

On the right side

Step-by-step explanation:

Only a small portion of the chart is nonmetals and they're on the right side. ALso sorry man, for the last quesiton about if metals or nonmetals make up most of the chart, i was wrong, its metals, sorry man lol.

Demonstrate a sampling method first five students picked by instructor sitting in the last raw is an example of option D. convenience sample.

As given in the question,

First five students sitting in the last row picked up by the instructor for demonstrating a sampling method is an example of the following sampling method:

A. Systematic sample is the method of sampling which represents the sample from the population.

Incorrect option.

B. simple random sample is the method of sampling where one can choose the samples randomly.

Incorrect option.

C. stratified sample is the method of sampling where whole population is divided into small subgroups and then from each subgroup data is chosen randomly.

Incorrect option.

D. convenience sample is the method of sampling where selection is based on easy and ready availability.

Correct option.

Therefore, instructor choose first five students from the last row to demonstrate a sampling method is an example of option D. convenience sample.

The above question is incomplete , the complete question is:

To demonstrate a sampling method, the instructor in a class picked the first 5 students sitting in the last row of the class. This is an example of a

A.) systematic sample.

B.) simple random sample.

C.) stratified sample.

D.) convenience sample.

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In the above relations , relation B is not a function . Since -7 repeats with 35 and 41, this is not a function.

Here in every relation each element of x is related with one element in set y , except relation B . In relation B -7 in x is related with 2 elements in y that is 35 and 41.

Therefore relation B is not a function.

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\(\measuredangle A\cong \measuredangle E\implies 112=16x\implies \cfrac{112}{16}=x\implies \boxed{7=x} \\\\[-0.35em] ~\dotfill\\\\ \overline{MS}\cong \overline{NR}\implies 41=3x+5y\implies 41=3(7)+5y\implies 41=21+5y \\\\\\ 20=5y\implies \cfrac{20}{5}=y\implies \boxed{4=y}\)

The rate at which the side of the cube changes when its length is 6 m is ds/dt = 1/27 m/sec.

For the first question:

The linear approximation of a function f(x) at a point a is given by L(x) = f(a) + f'(a)(x-a), where f'(a) is the derivative of the function at the point a.

In this case, f(x) = 4x^3 + 4x^2 + 3x - 1 and a = -1.

Taking the derivative of f(x), we get f'(x) = 12x^2 + 8x + 3.

Evaluating f'(-1), we get f'(-1) = 12(-1)^2 + 8(-1) + 3 = 7.

So the linear approximation L(x) of f(x) at a = -1 is given by L(x) = f(-1) + f'(-1)(x+1) = -2 + 7(x+1) = 7x + 5.

Therefore, the linear approximation of f(x) at a = -1 is L(x) = 7x + 5.

For the second question:

The volume V of a cube with side length s is given by V = s^3.

Given that dV/dt = 4 m^3/sec, we want to find ds/dt when s = 6 m.

Taking the derivative of V with respect to t, we get dV/dt = 3s^2(ds/dt).

Substituting dV/dt = 4 and s = 6, we get:

4 = 3(6^2)(ds/dt)

Solving for ds/dt, we get:

ds/dt = 4/(3(6^2)) = 0.037 m/sec (in fractional form).

Therefore, the rate at which the side of the cube changes when its length is 6 m is ds/dt = 0.037 m/sec.

For the first part of your question, to find the linear approximation L(x) of the function f(x) = 4x³ + 4x² + 3x – 1 at a = -1, we need to evaluate f(-1) and f'(-1).

First, find the derivative of f(x): f'(x) = 12x² + 8x + 3.

Now, evaluate f(-1) and f'(-1):
f(-1) = 4(-1)³ + 4(-1)² + 3(-1) - 1 = -2
f'(-1) = 12(-1)² + 8(-1) + 3 = 7

The linear approximation L(x) is given by L(x) = f(a) + f'(a)(x-a). Therefore, L(x) = -2 + 7(x - (-1)) or L(x) = -2 + 7(x + 1).

For the second part of your question, the volume V of a cube is given by V = s³, where s is the side length. Given dV/dt = 4 m³/sec, we want to find ds/dt when s = 6 m.

First, differentiate V with respect to time t:
dV/dt = 3s² ds/dt.

Now, substitute the given values:
4 = 3(6²) ds/dt.

Solve for ds/dt:
ds/dt = 4 / (3 × 36) = 1/27.

So the rate at which the side of the cube changes when its length is 6 m is ds/dt = 1/27 m/sec.

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Answer:

1380

Step-by-step explanation:

60(15) = 900

2280 - 900 = 1,380

Answer:

Step-by-step explanation:

You want the amounts invested in each of three accounts, earning 6%, 7%, and 8%. Given is the total interest for one year ($260), the total amount invested ($3600), and the fact that twice as much was invested at 8% as at 6%.

Let x represent the amount invested at 6%. Then 2x is the amount invested at 8%, and (3600 -x -2x) is the amount invested at 7%. The total interest earned is ...

  0.06x +0.07(3600 -3x) +0.08(2x) = 260

Simplifying the equation, we find ...

  0.01x +252 = 260

  x = (260 -252)/0.01 = 800 . . . . . . subtract 252 and divide by 0.01

The amounts invested in the various accounts are ...

6%: $800

7%: $1200

8%: $1600

Answer:

68% of jazz CDs play between 45 and 59 minutes.

Step-by-step explanation:

The correct question is: The playing time X of jazz CDs has the normal distribution with mean 52 and standard deviation 7; N(52, 7).

According to the 68-95-99.7 rule, what percentage of jazz CDs play between 45 and 59 minutes?

Let X = playing time of jazz CDs

SO, X ~ Normal(\(\mu=52, \sigma^{2} =7\))

The z-score probability distribution for the normal distribution is given by;

                                    Z  =  \(\frac{X-\mu}{\sigma}\)  ~ N(0,1)

Now, according to the 68-95-99.7 rule, it is stated that;

Here, we have to find the percentage of jazz CDs play between 45 and 59 minutes;

   For 45 minutes, z-score is =  \(\frac{45-52}{7}\)  = -1

   For 59 minutes, z-score is =  \(\frac{59-52}{7}\)  = 1

This means that our data values lie within 1 standard deviation points, so it is stated that 68% of jazz CDs play between 45 and 59 minutes.

A numerical measure computed from a sample, such as sample mean, is known as Sample statistic

What is Statistic?

The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data. It is customary to start with a statistical population or a statistical model to be researched when applying statistics to a scientific, industrial, or social problem.

A sample statistic is a metric that is calculated from a sample, such as sample mean. A population parameter is a numerical measure derived from a population, such as a mean.

Any value calculated from your sample data is referred to as a sample statistic (or simply a statistic). The sample average, median, sample standard deviation, and percentiles are a few examples. Because a statistic is based on data gathered through random sampling, which is a random experiment, it is a random variable.

Hence, A numerical measure computed from a sample, such as sample mean, is known as Sample statistic

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Answer:

The answer is A.

Step-by-step explanation:

Formula = 4/3pir^3

Diameter = 3

Radius = 3/2 = 1.5

Using the formula

1.5^3 = 3.375

3.375 * 4/3 = 4.5

Volume = 4.5 pi yd^3