Describe how to graph the solution of

The proportion of assemblies that require more than 25 seconds to complete is 0.5 or 50%.

The proportion of assemblies that require more than 25 seconds to complete given the probability density function f(x) = 0.1 for 20 ≤ x ≤ 30 seconds, follow these steps:

The proportion of assemblies that require more than 25 seconds to complete is 0.5 or 50%.

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Answer:divideing by the whole number

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

It does matter because when it comes to perpendicular lines the equations for the lines with have opposite y-intercepts. So if you had y=2x +3 the perpendicular line would be y=-1/2x +3.

Yes, the y-intercept of the equation written does matter and can be determined if a point on the line is given.

According to the question;

Although, according to line geometry;

The slope of two perpendicular lines are related as follows;

The y-intercept of the perpendicular line does matter when writing the equation of the line and can be determined if a point on the perpendicular line is given.

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Answer:

The one that costs more.

Step-by-step explanation:

Because you already know that they have the same volume (amount of ounces) and they are different prices, whichever one is more expensive has the higher cost per ounce. {You don't need to solve for a ratio or anything because they have the same number of ounces!!!}

Answer: If the number of ounces are the same, then the box that costs more will also cost more per ounce.

An infinite geometric series is one in which each term is equal to the preceding term multiplied by a fixed non-zero number, known as the common ratio.

The first term is called a1, and the common ratio is represented by r.In this particular question, we are required to find the value of a1 and r for an infinite geometric series. The partial sum S2 will also need to be found.For a geometric sequence that is infinite, the formula for the partial sum, Sn, is:Sn = a1 / (1-r), where a1 is the first term and r is the common ratio.To solve for a1, it is necessary to know two other variables: the common ratio r and the value of the first term a1. S2 is the sum of the first two terms, so: S2 = a1 + arTo find S2, we must first determine a1 and r. a1 is the first term in the sequence, and r is the common ratio. We can obtain both a1 and r by dividing the second term by the first term.The formula is:r = (ar/a1) = a2/a1 Substitute the value of r and a1 into the formula for S2 to obtain the result: S2 = a1 + ar = a1 + a1r = a1(1+r) Therefore, the value of a1 is a constant number that will appear in the series, and the common ratio, r, will be multiplied by this number to obtain the next value in the series.

So, a1 is the first term, and r is the common ratio of the infinite geometric series. S2, the sum of the first two terms, is found by using the formula S2 = a1 + ar where a1 is the first term and r is the common ratio.

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Using simultaneous equations, the child ticket costs $18.

Simultaneous equations are two or more equations solved concurrently or at the same time.

Simultaneous equations are also known as a system of equations.

                Family A     Family B      Total Cost

Adults            2                  2                $62

Children         1                  4                 $70

Let the ticket cost per child = x

Let the ticket cost per adult = y

2x + 2y = 62 ... Equation 1

x + 4y = 70 ... Equation 2

Multiply Equation 1 by 2

4x + 4y = 124 ... Equation 3

Subtract Equation 2 from Equation 3:

4x + 4y = 124

-

x + 4y = 70

3x = 54

x = 18

= $18

From Equation 2, Substitute x = 18:

x + 4y = 70

18 + 4y = 70

4y = 52

y = 13

= $13

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Another family of one adult and four children pays $70.

I Agree With person up  

:p

Applying the sine ratio, the length of AC rounded to 3 SF is: 9.137

For solving right triangles, one of the trigonometric ratios that can be applied when we know the length of the opposite side and the length of the hypotenuse. The sine ratio is:

sin ∅ = opposite side/hypotenuse.

Given the following:

Substitute

sin 52 = 7.2/AC [sine ratio]

(AC)(sin 52) = 7.2

AC = 7.2/sin 52

AC = 9.137

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Answer:

4.5

 miles

Step-by-step explanation:

Well, he runs

3

miles in

28

minutes. Also, see that

42

=

28

⋅

1.5

.

So, his journey would just be running

1.5

times, with each time running

28

minutes.

So, he runs a total of

1.5

⋅

3

=

4.5

miles

Answer:

4.5 miles

Step-by-step explanation:

You divide 28/3 then the answer you get multiply it to 42 = 4.5.

Answer:

Step-by-step explanation:

From the given information:

the null and alternative hypotheses in symbolic form for this claim can be computed as:

\(H_o:\mu = 18 \\ \\ H_a : \mu > 18\)

Mean = \(\dfrac{18.5+18.2+20+21.3+17.9+17.9+18.1+17.5+20+18}{10}\)

Mean = 18.74

Standard deviation  \(\sigma = \sqrt{\dfrac{\sum(x_i - \mu)^2}{N}}\)

Standard deviation  \(\sigma = \sqrt{\dfrac{(18.5 - 18.74)^2+(18.2 - 18.74)^2+(20 - 18.74)^2+...+(18 - 18.74)^2}{10}}\)

Standard deviation \(\sigma\)   = 1.18

The test statistics can be computed as follows:

\(Z= \dfrac{X- \mu}{\dfrac{\sigma}{\sqrt{n}}}\)

\(Z= \dfrac{18.6- 18}{\dfrac{1.18}{\sqrt{10}}}\)

\(Z= \dfrac{0.6}{\dfrac{1.18}{3.162}}\)

Z = 1.6078

Z = 1.61

Degree of freedom = n -1

Degree of freedom = 10 -1

Degree of freedom = 9

Using t - calculator at Z = 1.6078 and df = 9

The P - value = 0.0712

The  solution to this system of equations −4x+9y = 9 and x−3y = − 6 is,

(10, 5)

By using the substitution method, the solution to this system of equations −3x + 3y = 4  and −x + y = 3 is, No solution

The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.

Given that,

System of equation,

−4x + 9y =   9

 4x − 4×3y = − 4×6   (multiplying equation by 4)

 0  - 3y   = -15

         y  =  5

−4x + 9×5 = 5

-4x  = -40

  x  =  10  

Second, system of equations

By substitution method,

−3x + 3y = 4

 −x  +  y  =   3      

Both the lines are parallel ,

so they will never intersect each other

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Answer:

x-19=25 or to solve for x 25+19=x

Step-by-step explanation:

Equations

Let's call:

x = time Stanley swam yesterday.

We know he ran for half an hour longer than he swam, thus the time he ran was:

x + 0.5 = time Stanley ran yesterday

We also know he biked for twice the time he ran, thus:

2(x + 0.5) = time Stanley biked yesterday.

The distance covered by Stanley when swimming is

2.5*x

The distance covered by Stanley when running is:

9*(x+0.5)

The distance covered by Stanley while biking is:

16*2*(x + 0.5) = 32(x + 0.5)

The total distance is 64 miles, thus:

2.5*x + 9*(x+0.5) + 32(x + 0.5) = 64

Operating:

2.5x + 9x + 4.5 + 32x + 16 = 64

Simplifying:

43.5x + 20.5 = 64

Subtracting 20.5:

43.5x = 43.5

Thus:

x = 1

Stanley swam for 1 hour, he ran for 1+0.5 = 1.5 hours and biked for 2*1.5=3 hours

Swam: 1 hour, Ran: 1.5 hours, Biked: 3 hours

The equation of the line in slope intercept form is y = -1/3 x - 6

Note that the Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope is defined as the ratio of the rise to the run.

We are Given that the line passes through the points (0, -6) and (-6, -4)

The slope of the line is calculated by the formula given as;

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( -4 + 6 ) / ( -6 - 0)

Slope = ( 2 / -6 )

Slope  = -1/3

Thus, the equation of the line in slope-intercept form is

y-y₁ = m(x-x₁)

y + 6 = -1/3(x)

y = -1/3 x - 6

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Answer:

Step-by-step explanation:

-16 + 12s - 22t + 6u

To find the minimum score needed to be in the top 7%, we need to find the score that corresponds to the 93rd percentile, since the top 7% is the complement of the bottom 93%.

Using a standard normal distribution table or a calculator, we can find the z-score that corresponds to the 93rd percentile, which is approximately 1.44. This means that a score of 1.44 standard deviations above the mean corresponds to the 93rd percentile.

To find the actual score, we can use the formula:

z = (x - μ) / σ

where z is the z-score, x is the actual score, μ is the mean, and σ is the standard deviation. Solving for x, we get:

x = z * σ + μ

= 1.44 * 6.1 + 76.4

= 85.084

So, the minimum score needed to be in the top 7% is approximately 85.084 points.

Hello !

If the absolute value of your correlation coefficient is 1, your error in prediction will be 0.

Answer:

Step-by-step explanation:

The image of triangle ABC with coordinates A'(-2, -3) , B' (1, -7) and C' (-4,-5) is shown in attached graph.

What is Translation?

Vertically translation in a graph is equivalent to shifting the base graph up or down in the direction of the y-axis. A graph is translated h units vertically by moving each point on the graph h units vertically.

Given that;

Coordinates of a triangle ABC are;

A (4 , 4 ) , B (7 , 0) and C (2 , 2)

The rule of translation is,

(x, y) → (x - 6, y - 7)

Now, Apply the rule of translation in coordinates of triangle ABC,

A (4 , 4 ) = (4 - 6, 4 - 7) = (-2, -3)

Hence, A' = (-2, -3)

B (7 , 0) = (7 - 6, 0 - 7) = (1, -7)

Hence, B' = (1, -7)

C (2, 2) = (2 - 6, 2 - 7) = ( -4, -5)

Hence, C' = (-4, -5)

Thus, The coordinates of image A'B'C' are;

A'(-2, -3) , B' (1, -7) and C' (-4,-5)

So, The image of triangle ABC with coordinates A'(-2, -3) , B' (1, -7) and C' (-4,-5) is shown in attached graph.

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Answer:

Law of Sines

Step-by-step explanation:

You know two angles (∠P and ∠R) and the opposite side of ∠P (p).

Answer:

Law of Sines, two angles and an opposite side are known

Step-by-step explanation:

We know that...

In order to use the Law of Sines:

In order to use the Law of Cosines:

So now we know that there are 2 angles and an opposite side given. So that leads us to the answer: Law of Sines, two angles and an opposite side are known.

The equation of the line passing through the points (0, -6) and (7, 4) in slope-intercept form is y = \(\frac{10}{7}\)x - 6.

Slope of a line is defined as the tangent of the angle that the line makes with X axis.

Slope, usually denoted by 'm' of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by,

m = (y₂ - y₁) / (x₂ - x₁)

The equation of a line in slope-intercept form is y = mx + b, where b is y intercept and m is the slope.

Here, we have two points (0, -6) and (7, 4).

m = (4 - -6) / (7 - 0) = 10/7

y intercept is the y coordinate of the point where the line touches with the Y axis. x coordinate will be zero there.

We already have such point (0, -6).

So b = -6

Substituting these in slope-intercept form,

y =  \(\frac{10}{7}\)x - 6

Hence, the equation of the given line in slope intercept form is y = \(\frac{10}{7}\)x - 6.

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Answer:

send the complete question . there are some missing signs .

There are 6 pairwise comparisons that need to be made in order to gain a complete understanding of which treatment effects differ significantly from others.

In order to determine which treatment effects differ significantly from others, we need to make pairwise comparisons between all possible pairs of treatment groups. Let's consider an example with four treatment groups labeled A, B, C, and D.

To determine which treatment effects differ significantly from others, we need to compare the mean scores of each treatment group with the mean scores of every other treatment group. This means we need to make the following pairwise comparisons:

A vs B

A vs C

A vs D

B vs C

B vs D

C vs D

Therefore, there are 6 pairwise comparisons that need to be made in order to gain a complete understanding of which treatment effects differ significantly from others.

It's worth noting that when making multiple pairwise comparisons, there is an increased risk of making a Type I error (i.e., rejecting the null hypothesis when it is actually true) due to the multiple testing problem. To control for this, researchers may choose to adjust the significance level or use methods such as the Bonferroni correction to adjust the p-values of the individual tests.

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In this question, the z-score associated with the 97.5 percent confidence interval is option e) 1.960.

In statistics, the z-score is used to determine the number of standard deviations a particular value is away from the mean in a normal distribution. The z-score is commonly used in confidence interval calculations, where it corresponds to a certain level of confidence.

The 97.5 percent confidence interval corresponds to a two-tailed test, meaning we need to find the z-score that captures 97.5 percent of the area under the normal distribution curve, with 2.5 percent of the area in each tail.

Looking up the z-score in a standard normal distribution table or using statistical software, we find that the z-score associated with the 97.5 percent confidence interval is approximately 1.960.

Therefore, the correct answer is e) 1.960. This z-score is used when constructing a 97.5 percent confidence interval, which means there is a 97.5 percent probability that the true population parameter lies within the interval calculated using this z-score.

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Answer: 200

Step-by-step explanation:

Number of numbers counted by Alex;

= 2,400 / 6

= 400

Number of numbers counted by Matthew;

= 2,400/4

= 600

Numbers that both of them counted = 600 - 400

= 200

Answer:

7x - 5 = 42

Step-by-step explanation: Hope this helps you!