Lin and Elena decide to race. Elena runs her mile at a constant speed of 0.125 miles per hour, or y=0.125x. Lin's speed is captured by the graph below.

Answer:

From the statements in the question, I and III is CORRECT

Step-by-step explanation:

First we take down the given data from the question for substitution;

Process mean = 16.9 ounces

Lower specification limit = 16.75 ounces

Upper specification limit = 17.05 ounces

Standard deviation = 0.04

Now, we get our Cpk;

Cpk = MINIMUM( (Upper specification limit - mean ) / 3 × Standard deviation), (mean - Lower specification limit) / 3 × Standard deviation) )

so we substitute

Cpk = MINIMUM(  ((17.05 ounces - 16.9 ounces) / 3 × 0.04 ounces ), (( 16.9 ounces - 16.75 ounces) / 3 × 0.04 ) )

Cpk = MINIMUM( 0.15 / 0.12 ), ( 0.15 / 0.12 )

Cpk = MINIMUM( 1.25, 1.25 )

Cpk = 1.25

Next the Cp;

Cp = ( Upper specification limit - Lower specification limit ) / ( 6 ×  standard deviation )

we substitute

Cp = ( 17.05 ounces - 16.75 ounces ) / ( 6 × 0.04 ounces )

Cp = 0.3 / 0.24

Cp = 1.25

Hence;

Cpk calculation is not less than Cp calculation.

Since Cp is greater than 1, the process is cable.

Since the actual process mean is also 16.90 ounces, then  the process is centered.

Therefore, From the statements in the question, I and III is CORRECT

The correct statement is "the Cp calculation indicates that the process is capable" and "the process is centered, so the Cp calculation should be used" and this can be determined by using the formula of Cpk and Cp.

GIven :

The formula of Cpk is given below:

[tex]\rm Cpk = minimum\left( \dfrac{Upper \;specification \;limit - mean}{ 3 \times Standard \;deviation)}, \dfrac{ mean - Lower\; specification\; limit} { 3 \times Standard \;deviation}\right )[/tex]

Now, substitute the known terms in the above formula.

[tex]\rm Cpk = minimum \left(\dfrac{17.05-16.9}{3\times 0.04},\dfrac{16.9-16.75}{3\times 0.04}\right)[/tex]

[tex]\rm Cpk = minimum \left(\dfrac{0.15}{0.12},\dfrac{0.15}{0.12}\right)[/tex]

Cpk = 1.25

Now, the formula of Cp is given below:

[tex]\rm Cp = \dfrac{Upper\; specification\; limit - Lower\; specification \;limit} { 6 \times standard \;deviation }[/tex]

Now, substitute the known terms in the above formula.

[tex]\rm Cp = \dfrac{17.05-16.75}{6\times 0.04}[/tex]

Cp = 1.25

So, the correct statement is "the Cp calculation indicates that the process is capable" and "the process is centered, so the Cp calculation should be used".

Therefore, the correct option is D) I and III.

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The value of angle of elevation (x) is 67°

The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.

Angle of elevation can be found by using trigonometry ratio

The height of the house is the opposite and the height of the ladder is the hypotenuse.

Therefore from trigonometry ratio;

sin x = 11/12

sin x = 0.92

x = sin^-1 (0.92)

x= 66.93°

x = 67° ( nearest degree)

Therefore the value of angle of elevation is 67°

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Answer:

m<A=40°

m<B=55°

m<C=85°

Step-by-step explanation:

Add up all the angles to equal 180 because all triangles add up to 180.

(2x+5)+(x+15)+x=180

Simplify.

4x+20=180

Solve for x.

x=40.

Plug x into the equations. Hope this helps.

Answer:

200 CENTIMETRES

Step-by-step explanation:

Answer:

(probably) 96

Step-by-step explanation:

2 buildings, 3 floors, 16 windows.

first, 16x3=48

and then 48x2=96

So, the total number is 96.

Answer:

matching pairs of participants based on a variable and then randomly assigning one member of each pair to each group.

Step-by-step explanation:

A control experiment can be defined as an experiment in which a condition assumed to be a probable cause of the effect is being compared to the same situation by the scientist without involving or using the suspected condition.

A control group generally makes an experiment to work because they are not exposed to the variables and a neutral treatment.

On the other hand, an experimental group can be defined as a collection of participants that are subjected to the independent variable.

A matched pairs design involves matching pairs of participants based on a variable and then randomly assigning one member of each pair to each group. Thus, it's a process which typically involves pairing each individual in an experimental group with respect to another in the control group.

Generally, a matched pairs design is often times used when only a small group of participants are available for an experimental study or research.

Answer:

[tex] \frac{92}{15} [/tex]

Step-by-step explanation:

change to improper

[tex] \frac{24}{5} + \frac{4}{3} [/tex]

this gives us

[tex] \frac{92}{15} [/tex]

final answer

plz mark as brainliest

Answer:

[tex]\frac{92}{15} or 6\frac{2}{15}[/tex]

Step-by-step explanation

hope this helps have a good day :)

Answer:

The null hypothesis is [tex]H_0: \mu = 99[/tex]

The alternate hypothesis is [tex]H_a: \mu > 99[/tex]

The test statistic is [tex]z = 0.31[/tex]

The pvalue of the test is 0.3783 > 0.05, which meas that the results are not significant at the 5% level.

Step-by-step explanation:

It is believed that the average amount of money spent per U.S. household per week on food is about $99. We want to test the hypothesis that the mean weekly food budget for all households in this community is higher than the national average.

At the null hypothesis, we test if the mean is the national average of 99, that is:

[tex]H_0: \mu = 99[/tex]

At the alternate hypothesis, we test if the mean is greater than the national average of 99, so:

[tex]H_a: \mu > 99[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

99 is tested at the null hypothesis:

This means that [tex]\mu = 99[/tex]

A random sample of 16 households in a certain affluent community yields a mean weekly food budget of $100. Standard deviation of $13.

This means that [tex]n = 16, X = 100, \sigma = 13[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{100 - 99}{\frac{13}{\sqrt{16}}}[/tex]

[tex]z = 0.31[/tex]

The test statistic is [tex]z = 0.31[/tex].

Determine if the results significant at the 5% level.

The pvalue of the test is the probability of finding a sample mean above 100, which is 1 subtracted by the pvalue of z = 0.31.

Looking at the ztable, z = 0.31 has a pvalue of 0.6217

1 - 0.6217 = 0.3783

The pvalue of the test is 0.3783 > 0.05, which meas that the results are not significant at the 5% level.

Answer:

minimum: 6500

maximum: 18500

Hope this helps

GLL

Step-by-step explanation:

Answer:

Correct answer is below

Step-by-step explanation:

Answer:

A. Adjacent  

B. Complementary

C. Complementary

Step-by-step explanation:

Answer:

90 degree

Step-by-step explanation:

since the original angle BAC is 90 degree, no matter the triangle is rotated or translated, the angle remain unchanged

Answer:

The degrees of freedom for this problem are 21

Step-by-step explanation:

Degrees of freedom:

When testing an hypothesis involving two samples, the number of degrees of freedom is given by:

[tex]df = n_1 + n_2 - 2[/tex]

In which [tex]n_1[/tex] is the size of the first sample and [tex]n_2[/tex] is the sample of the second sample.

In this question:

Samples of 9 and 14, so [tex]n_1 = 9, n_2 = 14[/tex]

The degrees of freedom for this problem are

[tex]df = n_1 + n_2 - 2[/tex]

[tex]df = 9 + 14 - 2 = 21[/tex]

The degrees of freedom for this problem are 21

The required degree of freedom is 21.

Given that,

He randomly selects a sample of 9 lunch tickets from the city population resulting in a mean of $14.30 and a standard deviation of $3.40.

He randomly selects a sample of 14 lunch tickets from the suburban population resulting in a mean of $11.80 and a standard deviation $2.90.

He is using an alpha value of .10 to conduct this test.

We have to find,

The degrees of freedom for this problem are.

According to the question,

Degrees of freedom refers to the maximum number of logically independent values, which are values that have the freedom to vary, in the data sample.

Degrees of freedom are commonly discussed in relation to various forms of hypothesis testing in statistics, such as a chi-square.

When testing an hypothesis involving two samples, the number of degrees of freedom is given by,

[tex]Degree \ of \ freedom = n_1+n_2-2[/tex]

Where, [tex]n_1[/tex] is the size of the first sample and [tex]n_2[/tex] is the sample of the second sample.

[tex]n_1 = 9 \ and\ n_2 = 14[/tex]

Therefore,

[tex]Degree \ of \ freedom = 9+14-2\\\\Degree \ of \ freedom = 21[/tex]

Hence, The required degree of freedom is 21.

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Answer:

Step-by-step explanation:

If m∠ABJ = 28 and ∠ABC ≅ ∠DBJ, then we can set up the following equation:

m∠ABC = m∠DBJ

Since angles ∠ABC and ∠DBJ are congruent, they have the same measure, so the equation above is true.

Since we are trying to find m∠JBC, we can use the fact that the measure of an angle is equal to the sum of the measures of the other two angles in the triangle to set up another equation:

m∠JBC = m∠ABC + m∠ABJ

Substituting the value for m∠ABC from the first equation into the second equation, we get:

m∠JBC = m∠DBJ + m∠ABJ

Substituting the given value of m∠ABJ into this equation, we get:

m∠JBC = m∠DBJ + 28

Since m∠ABJ = m∠DBJ, we can substitute m∠ABJ in for m∠DBJ:

m∠JBC = m∠ABJ + 28

Substituting the given value of m∠ABJ into this equation, we get:

m∠JBC = 28 + 28

Solving this equation, we find that m∠JBC = 56.

Therefore, the measure of angle ∠JBC is 56 degrees.

Answer:

6488765

Step-by-step explanation:

I did the math hope this helps!!

Answer:

I can't please the question is sooo hard but can you give steps

Answer:

D is correct Answer. x-4. THANK YOU.

===========================================================

Explanation:

If we replace every copy of x with t, then we go from this

F(x) = 3x+5

to this

F(t) = 3t + 5

All we've done really is change the letter. We still are dealing with a variable. We're told that F(t) is equal to 26, which would allow us to replace the "F(t)" with "26" in the second equation above.

So we now have the equation 26 = 3t+5 which is the same as 3t+5 = 26

Let's solve for t

3t+5 = 26

3t = 26-5 .... subtract 5 from both sides

3t = 21

t = 21/3 .... divide both sides by 3

t = 7  is the answer

Now note that...

F(t) = 3t + 5

F(7) = 3*7 + 5 .... replace t with 7

F(7) = 21 + 5

F(7) = 26

This means we got F(t) = 26 when t = 7

It's the same as saying x = 7 leads to F(x) = 26.

This helps confirm we have the correct answer.

Answer:

t = 7

Step-by-step explanation:

I hope this helps

Step-by-step explanation:

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The equation that represents the linear function is y = 11 + 7x.

What is the solution to the linear equation?

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

We have given the rules:

x: a number

y: 11 more than 7 times x.

Linear equations are the equations of degree 1. It is the equation for the straight line.

The standard form of the linear equation is ax+by+c =0,

where a ≠ 0 and b ≠ 0.

From the given conditions we can form the linear equation:

That is,

y = 11 + 7x,

Hence, the equation that represents the linear function is y = 11 + 7x.

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Answer:

0.15

Step-by-step explanation:

I just put the fraction in decimal form since there is no photo.

Answer: 3 x [tex]10^{24}[/tex]

Step-by-step explanation:

Respuesta:

23,5 milímetros

Explicación paso a paso:

Dado :

Diámetro del círculo = 47 mm

Radio del círculo = diámetro / 2

Por lo tanto, Radio = 47 mm / 2

Radio = 23,5 mm

Answer:

ND>MA n type in both 300k and 700k as ND and NA are not affected by rempredure, only NI is affected and it increases the electron and helps with the sane value so always electrons will be greater than holes at T= 300k Ni = 10 10 cm 3

Therefore , the solution of the given problem of perimeter comes out to be the perimeter is represented by the expression of Perimeter = 30 -6x.

In geometry, a shape's perimeter, or overall length, is referred to as its perimeter. The lengths of all a shape's sides and edges are added up to determine its perimeter.

Here,

Given :  length = 5 - 1(x) or

=> length = 5-x

Width is twice the length

thus,

=>Width = 2(5-x)

=>Width = 10-2x

So ,To find the perimeter

We use,

=> Perimeter = 2(length + width)

=> Perimeter = 2( 5-x + 10-2x )

=>  Perimeter = 2( 15 -3x)

=>   Perimeter = 30 -6x

Therefore , the solution of the given problem of perimeter comes out to be the perimeter is represented by the expression of Perimeter = 30 -6x.

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Neither of the triangles are similar to the one given.

Two triangles are said to be similar if, they have congruent corresponding angles and sides are in equal ratios.

Given are three triangles, we need to find which of them are similar to the given one,

According to the definition of the similar triangles,

1) 10 / 5.5 = 10 / 5.5 ≠ 4 / 2

So, they are similar triangles.

2) 30 / 10 = 30 / 10 ≠ 14 / 4

Hence, Neither of the triangles are similar to the one given.

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Solving the provided question, we can say that the quadratic equation is [tex]-16t^2 +vt +s[/tex] so answer is -16+48+3 = 35

A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.

the quadratic equation is

[tex]-16t^2 +vt +s[/tex]

v = 16

s =3

t =

so answer is -16+48+3 = 35

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