what is the problem0.57+1.825

The results of the one-sample t-test, at a 0.05 significance level, there is not enough evidence to conclude that the sample is from a population with a mean speed that is less than the speed limit of 65 mi/h.

To test the claim that the sample is from a population with a mean speed less than the speed limit of 65 mi/h, we can perform a one-sample t-test. Here are the steps to conduct the hypothesis test:

Step 1: State the hypotheses:

The null hypothesis (H₀): The population mean speed is 65 mi/h.

The alternative hypothesis (H₁): The population mean speed is less than 65 mi/h.

Step 2: Formulate the test statistic:

We will use the t-test statistic, which follows a t-distribution under the assumptions of normality and independence.

Step 3: Set the significance level:

The significance level (α) is given as 0.05, which implies a 5% chance of rejecting the null hypothesis when it is true.

Step 4: Collect the data and calculate the test statistic:

The speeds (in mi/h) measured from the southbound traffic on I-280 near Cupertino, California, at 3:30 pm on a weekday are as follows: 62, 61, 61, 57, 61, 54, 59, 58, 59, 69, 60, 67.

Let's calculate the sample mean (\(\bar x\)) and the sample standard deviation (s) from the given data:

Sample mean (\(\bar x\)) = (62 + 61 + 61 + 57 + 61 + 54 + 59 + 58 + 59 + 69 + 60 + 67) / 12 = 62.67

Sample standard deviation (s) = √[Σ(xi -\(\bar x\))² / (n - 1)] = √[Σ(62 - 62.67)² / 11] ≈ 4.12

Step 5: Determine the test statistic:

The test statistic is given by t = (\(\bar x\) - μ) / (s / √n), where μ is the hypothesized population mean, \(\bar x\) is the sample mean, s is the sample standard deviation, and n is the sample size.

In this case, μ = 65 (speed limit), \(\bar x\) = 62.67, s ≈ 4.12, and n = 12.

t = (62.67 - 65) / (4.12 / √12) ≈ -0.822

Step 6: Determine the critical value:

Since the alternative hypothesis is one-tailed (less than), we need to find the critical t-value corresponding to the significance level and the degrees of freedom. The degrees of freedom are equal to the sample size minus 1 (n - 1).

At a 0.05 significance level and 11 degrees of freedom, the critical t-value is approximately -1.796.

Step 7: Make a decision:

Compare the calculated test statistic to the critical value. If the test statistic is less than the critical value, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

In this case, -0.822 > -1.796, so we fail to reject the null hypothesis.

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The complete question is:

Listed below are speeds (mi/h) measured from southbound traffic on I-280 near Cupertino, California. This random sample was obtained at 3:30 pm on a weekday. Use a 0.05 significance level to test the claim that the sample is from a population with a mean that is less than the speed limit of 65 mi/h.

62, 61, 61, 57, 61, 54, 59, 58, 59, 69, 60, 67

Answer:

3,-2

Step-by-step explanation:

set y =0 and solve

(-x-2)(x-3)=0

the values 3, -2 solve the equation and are your x-intercepts

The 50th percentile is a commonly used statistic in data analysis. It represents the value below which 50% of the data falls.

In other words, it divides the data into two equal parts. There are two other statistics that have the same value as the 50th percentile, namely the second quartile and the median. The second quartile is the middle value of the data when it is arranged in ascending or descending order.

It is also known as the 50th percentile or the median. The first quartile is the value below which 25% of the data falls, and the third quartile is the value below which 75% of the data falls.

The mean is another commonly used statistic in data analysis. It is the sum of all the values in the data divided by the total number of values. Unlike the median, the mean is affected by extreme values or outliers in the data. This means that if there are outliers in the data, the mean may not be a good measure of central tendency.

The mode is the value that occurs most frequently in the data. It is another measure of central tendency that can be used in addition to the median and mean.

In summary, the 50th percentile is equivalent to the second quartile and the median. These statistics are all measures of central tendency that help to describe the distribution of data. The choice that best answers the question is option A: Second quartile; median.

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ud7e7urfueitsisurwo6krwowi5ai6woaowi5

Answer:

y is -4.55

Step-by-step explanation:

Answer:

9 would be the correct solution to this question?

Answer: 16:15

Step-by-step explanation:

We know that there are 16 girls and 15 boys, so the ratio of girls and boys are 16:15!

Answer: 16:15

Step-by-step explanation: Yes, I know some might think that it should be 15:16. But that is not the case, it is 16:15 because it asks GIRLS to BOYS not BOYS to GIRLS. TIP: when trying to find the ration, pay CLOSE ATTENTION to what group comes first.

Example: Boys to Girls; Horses to Cows; etc.......

I hope this helps! See ya!

If the height is increased by 0.2 then the surface area will be increased by 1.14times the original.

A prism is a solid shape that is bound on all its sides by plane faces.

The surface area of a prism is expressed as;

SA = 2B + ph

where h is the height , p is the perimeter of the base and B is the base area

The scale factor in terms of height = 32/30

if x is the surface area of old prism and y for new

then area factor = (16/15)² = 256/225

256/225 = y/x

225y = 256x

y = 256/225 x

y = 1.14x

therefore the surface area will increase by 1.14times the original.

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Answer:

30.4%

Step-by-step explanation:

Given data

originally price $457

new price= $318

Required

The percent mark down

Percent markdown= original- new/original*100

substitute

Percent markdown= 457- 318/457*100

Percent markdown= 139/457*100

Percent markdown=0.304*100

Percent markdown=30.4%

Hence the price was reduced by 30.4%

We cannot calculate the area of the region that will have red flowers, since there is no triangle to decorate.

To find the area of the triangular region between points A, B, and D, we need to first calculate the base and height of the triangle.

Looking at the 7 by 6 rectangle, we can see that the base of the triangle is 6 units long.

To find the height of the triangle, we need to draw a perpendicular line from point B to line AD.

This creates a right triangle with hypotenuse AB, one leg of length 4 (half of the 8 unit side), and an unknown leg that we will call h.

Using the Pythagorean theorem, we can solve for h:
AB^2 = 8^2 + h^2
64 = 64 + h^2
h^2 = 0
h = 0

This means that the height of the triangle is 0 units, and therefore the area of the triangle is 0 square units.

This is because the points A, B, and D are collinear (they lie on the same line), so there is no actual triangle formed.

Therefore, we cannot calculate the area of the region that will have red flowers, since there is no triangle to decorate.

We would need to re-evaluate the placement of the flowers or adjust the dimensions of the rectangle to create a non-collinear triangle.

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Answer:

8,8 is correct answer please Like me

Answer:

Step-by-step explanation:

scale factor=4

Answer:

c.6xy and -16xy

Step-by-step explanation:

the variables are the same

1) dy/da = y(1 - y) , because y = 1 / (1 + e⁽⁻ᵅ⁾), so 1 - y = e⁽⁻ᵅ⁾ / (1 + e⁽⁻ᵅ⁾ )

2) the minimum of G(p) occurs at the points p = 0 and p = 1.

1) If y = sigmoid(a), then y = 1 / (1 + e⁽⁻ᵅ⁾).

To find dy/da, we need to take the derivative of y with respect to a.

dy/da = e⁽⁻ᵅ⁾ / (1 + e⁽⁻ᵅ⁾)²= y(1 - y)

This is because:

- The derivative of 1 / (1 + e⁽⁻ᵅ⁾) is e⁽⁻ᵅ⁾ / (1 + e⁽⁻ᵅ⁾)²

- y = 1 / (1 + e⁽⁻ᵅ⁾), so 1 - y = e⁽⁻ᵅ⁾ / (1 + e⁽⁻ᵅ⁾ )

- Therefore, dy/da = y(1 - y)

2) Gini's index, G(p), is used to measure inequality and is defined as G(p) = 1 - (p² + (1-p)²), where 0 <= p <= 1.

To maximize G(p), we need to find the point where its derivative with respect to p is zero:

dG(p)/dp = -2p - 2(1-p) = 0

Solving for p, we get p = 0.5

Thus, Gini's index is maximized at p = 0.5. For the minimum of G(p), we consider the endpoints, which are p = 0 and p = 1.

In both cases, G(p) = 1 - (1² + 0²) = 0.

So, the minimum of G(p) occurs at the points p = 0 and p = 1.

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Answer:

a) 5.8 cm

b) 40.3 cm

Step-by-step explanation:

a) 5²+3²= 34

√34= 5.8 cm

b) 45²-20²= 1625

√1625= 40.3 cm

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We need to identifying whether or not if this is a function

So, we will apply the vertical line test , we will graph a vertical line

If the vertical intersects withe the given graph at more than one point , so, the graph will not be a function

show the following image :

as shown : the vertical line at x = -6 intersects with the graph at two points

So, The graph is not a function

So, the answer is No

​

Answer:

subtract 14 from 4..then divide it by -2

your answer is then p>5

Step-by-step explanation:

hope this helpssss:)

Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

Answer:

3/10 || 7/10

Step-by-step explanation:

Answer:

30%

70%

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Step-by-step explanation:

Answer:

30% of people surveyed were satisfied with the car.

Step-by-step explanation:

We are given:

Total participants in survey= 2800

People satisfied with car = 840

We need to find percent of the people surveyed were satisfied with the car.

The formula used is: \(\frac{People \ satisfied \ with \ car}{Total \ participants \ in \ survey} \times 100\)

\(=\frac{840}{2800}\times 100\\=30\%\)

So, 30% of people surveyed were satisfied with the car.

Answer:

Kevin can make 35 pillows.

Step-by-step explanation:

I assume that your question would be, "How many pillows can Kevin make?" If this is not the answer that you were looking for, you need to input your question.

Slope intercept form of equation of a line is described by y - y1 = m(x - x1)

The are three kinds of equation of a line

a) point intercept form

b) slope point form

c) point point form

The formula y - y1 = m(x - x1) is usually described as the 'point-slope form' for the equation of a line.

where m represents the slope of the line and x1 and y1 is the point given through which the line passes.

It is useful when one point on a certain line and the slope of that certain line is known, then the equation of the line can be structured using this form.

Thus, the slope intercept form of equation of a line is described by y - y1 = m(x - x1)

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Answer:

Length is 7 units

Step-by-step explanation:

width- w

L- length

W+3=L
(w)(l)=28

hopes this helps

Answer:

Step-by-step explanation:

−2 *(x + 1) = x −3x −2

-2x - 2 = -2x -2

Answer:

Large box = 31/2 = 15.5 kgs

Small box = 27/2 = 13.5 kgs.

Step-by-step explanation:

Let x be large box

Let y be small box

5x + 3y = 118

5x = 118 - 3y

x = 118/5 - 3/5y

2x + 12y = 193

2(118/5 - 3/5y) +12y = 193

y = 27/2 = small box

Large box

5x + 3(27/2)=118

x = 31/2 = large box

Answer:

it would have to be 5:30 if not then 5:00 but i really think it is 5:30

Step-by-step explanation:

it has the small hand behind the 6 and the big hand at 6 so the would be 30 minutes so for that reason i say 5:30

The radius of Deimos to one significant digit in meters is approximately 9.4 m

.

Given the ratio of the Sun-from-Mars distance to Deimos-from-Mars distance is 365,000, the distance between Mars and Deimos can be found to bedeimos distance = Sun-Mars distance / 365,000

Next, we can find the diameter of Deimos by noting that 550 of its diameters is equal to the distance it takes to transit the shadow of Mars during a lunar eclipse.

Let's call the diameter of Deimos "d", so we can

diameter = 1/550 * deimos distance

Finally, the Sun appears about 8.4 times as large as Deimos in the Martian sky. If we call the radius of Deimos "r", then the radius of the Sun is 8.4r.

Using the information given, we can set up the following equation:

deimos distance / (3,000,000 + r) = 8.4r / (3,000,000)Simplifying and solving for r,

we get:r = 9.39 m (rounded to one significant digit)

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c) 0.01

To Write percentage in decimal or fraction we divide it by 100

therefore,

\(\begin{gathered}\\\implies\quad \sf 2\% = \frac{2}{100} \\\end{gathered} \)

\(\begin{gathered}\\\implies\quad \sf 2\% = 0.02 \\\end{gathered} \)

Half of 0.02 = \(\sf\frac{1}{\cancel2} \times\cancel{0.02}\)

\(\implies\boxed {0.01}\)

Half of 2 percent written as a decimal is 0.01

Answer:

x ≥ $40

Step-by-step explanation:

Jackie didn't spend more than $40 on a video.

x ≥ $40

Answer:

1/4

Step-by-step explanation:

simple