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A type of statistical hypothesis known as a "null hypothesis" makes the case that a given set of observations does not have any statistical significance.

Using sample data, hypothesis testing is used to determine a hypothesis's credibility. It is represented as H0, and it is sometimes referred to as the "null."

Given; The average thickness and standard deviation of a sample of 50 eyeglass lens samples are 3.05 millimeters and.34 millimeters, respectively.

Such lenses should have a true average thickness of 3.20 mm. Utilizing a =.05

False hypothesis H0: Alternative hypothesis: mu1= mu2 HA: 'mu1' and 'ne'

Sample Size 50 Sample Mean 3.05 Sample Standard Deviation 0.34 Intermediate Calculations Standard Error of the Mean 0.0481 Degrees of Freedom 49 t Test Statistic -3.1196 Two-Tail Test Lower Critical Value -2.0096 Upper Critical Value 2.0096 p-Value 0.0030 Reject the null hypothesis

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I think the answer would be (C) 12 because when you lay the line measuring 5 - 4 flat you can see that it is not covering line x completely. When 3 to the new line of 9 you can see that it fits. Hope this helps!

Answer:

An included angle is the angle between two sides of a triangle. It can be any angle of the triangle, depending on its purpose.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

0.75*32=24 is 75% of 32

0.8*32=25.6 is 80% of 32

you need to round to 26 as you cant get .6 of a mark

26-24=2

Answer:

The slope is -1 and the y-intercept is 2.

Step-by-step explanation:

Since it is -x, the only way is if -1 and x were multiplied together. The Slope-Intercept Form is y = mx + b

The correct answer is "residuals are positively autocorrelated."

The Durbin-Watson statistic is used to test for autocorrelation in the residuals of a regression model. The statistic has a value between 0 and 4, with a value of 2 indicating no autocorrelation.

A Durbin-Watson statistic value less than 2 indicates positive autocorrelation, while a value greater than 2 indicates negative autocorrelation. A value of 2 indicates no autocorrelation, and a value of 0 or 4 indicates perfect positive or negative autocorrelation, respectively.

In this case, the Durbin-Watson statistic value of 0.244822 is less than 2, indicating positive autocorrelation in the residuals. Therefore, the correct answer is "residuals are positively autocorrelated."

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The solutions for this quadratic equation is

x = 0 , -2/3

What is quadratic equation ?

A quadratic equation is also known as quadratic function. The quadratic function has the form of equation as  ax²+ bx + c, where a, b, and c are the numbers not equal to zero. In mathematics, the quadratic function, the quadratic polynomials , 2nd degree polynomial is a polynomial function with one or more that one variables in which the highest term is of the second degree.

according to question given,

9 x²+6 x=0

take the 3x as common factor, equation is

3x ( 3x + 2) = 0

now, evaluating this expression

3x = 0  , say equation 1

and, 3x +2 =0  say equation 2

from equation 1 , x = 0

and, from equation 2

3x + 2 =0

x = -2 / 3

Thus final solutions for this equation is

x = 0 , -2/3

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The probability that a randomly selected person from the photography club is over 65 and male is approximately 50.7%.

To calculate the probability that a randomly selected person from the photography club is over 65 and male, we need to find the ratio of the number of men over 65 to the total number of members.

Given that there are 71 men in total and 36 of them are 65 years of age or older, the chances of selecting a man over 65 can be calculated as:

\(\[\frac{36}{71}\]\)

Simplifying the fraction, we have:

\(\[\frac{36}{71} \approx 0.507 \approx 50.7\%\]\)

The concept used in this question is probability. The concept of probability is applied to determine the chances of selecting a specific category (over 65 and male) from a given population.

Therefore, the chances that a randomly selected person from the photography club is over 65 and male is approximately 50.7%.

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Answer: \(3\frac{1}{3}\)

Answer:604

Step-by-step explanation: its easy

677-73

The solution to the differential equation dy/dt + 2y = 0 where y(0) = 3 is y = 3e^(-2t).

The solution to the differential equation dy/dt + 2y = 0 can be found by separating the variables and integrating both sides.

First, separate the variables:
dy/dt = -2y

Next, integrate both sides:
∫dy/y = ∫-2dt

This gives us:
ln(y) = -2t + C

Now, solve for y:
y = e^(-2t+C)

Since we know that y(0) = 3, we can plug in 0 for t and 3 for y to solve for C:
3 = e^(C)
C = ln(3)

So the solution is:
y = e^(-2t+ln(3))

Simplifying further gives us:
y = 3e^(-2t)

Therefore, the solution to the differential equation dy/dt + 2y = 0 where y(0) = 3 is y = 3e^(-2t).

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Answer:

  6.28 m

Step-by-step explanation:

You want the amount of head start a runner on the outside lane needs to fairly compete with the runner on the inside lane on a circular track with lane radii of 51 and 50 m, respectively.

The circumference of the circle with radius r is ...

  C = 2πr

The difference in circumference for the different radii will be ...

  ∆C = 2π(51 m) -2π(50 m) = 2π(51 -50) m = 2π m ≈ 6.28 m

The runner in the outside lane should have a 6.28 meter head start.

Answer: 3.46

Step-by-step explanation:

The rate of change for the equation y - x = 10 is 1.

To find the rate of change for the equation y - x = 10, we need to determine how y changes with respect to x.

We can rewrite the equation as y = x + 10 by adding x to both sides.

Now, we can observe that the coefficient of x is 1. This means that for every unit increase in x, y will increase by 1. Therefore, the rate of change for this equation is 1.

In other words, as x increases by 1 unit, y will increase by 1 unit as well.

As a result, 1 represents the rate of change for the equation y - x = 10.

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Answer:

5.3

Step-by-step explanation:

Since they are similar triangles, we assume the ratio between AM/AN is equal to the ratio between MB/NC.
AM/AN = 6/8 = 3/4
If MB is 4
3/4 = MB/NC = 4/NC
3/4 = 4/NC

3NC = 16
NC = 16/3
16/3 = 5.333333

Answer:

The volume is approximately 50 m^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h where r is the radius and h is the height

The radius is 1/2 of the diameter r = 8/2 = 4

V = pi ( 4)^2 (1)

V = 16 pi

Letting pi be approximated by 3.14

V = 3.14 * 16

V = 50.24

The volume is approximately 50 m^3

The group of volunteers can make a total of 200 masks out of 25 yards of fabric.

To calculate the number of masks that can be made, we divide the total amount of fabric (25 yards) by the amount of fabric required per mask (1/8 yard). To do this, we first convert the fraction 1/8 to decimal form, which is 0.125. Then, we divide the total fabric (25 yards) by the fabric required per mask (0.125 yards). This can be done by dividing 25 by 0.125, which equals 200. Therefore, the group of volunteers can make a total of 200 masks out of 25 yards of fabric. Each mask requires 1/8 yard of fabric, so dividing the total fabric by the fabric required per mask gives us the total number of masks that can be made.

Calculation steps:
1. Convert the fraction 1/8 to decimal form: 1/8 = 0.125.
2. Divide the total fabric (25 yards) by the fabric required per mask (0.125 yards):
  25 / 0.125 = 200.


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An isosceles triangle is a triangle that has two sides of equal length and two angles that are also equal. In this case, the flag on the golf course is in the shape of an isosceles triangle.

We also know that one leg of the triangle is fastened to a pole and forms an 84-degree angle with the pole. Since the triangle is isosceles, the two other angles must also be equal. Let's call these angles x.

The sum of the angles in any triangle is always 180 degrees. So, we can set up an equation:

84 + x + x = 180

Simplifying the equation, we get:

2x + 84 = 180

Subtracting 84 from both sides, we get:

2x = 96

Dividing both sides by 2, we get:

x = 48

So each remote interior angle in the isosceles triangle is 48 degrees.

In conclusion, each remote interior angle in the isosceles triangle formed by the flag on the golf course is 48 degrees.

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Answer:

the side XY

Step-by-step explanation:

we know 2 angles in a triangle. but are 45 degrees.

that means the third angle Z is 180-45-45 = 90 degrees.

the side opposite of the largest angle is the longest side.

opposite of Z is the side XY.

Answer:

The decimal would be 0.2 or in percentages, 20/100.

Step-by-step explanation:

Answer:

25/12 or 2 1/12

Step-by-step explanation:

calculator

The 99% confidence interval for the proportion of students having access to Wi-Fi is approximately (45%, 81%).

For a 99% confidence level, the Z-score is approximately 2.576 (you can find this value in a Z-table or use a standard normal calculator).

Now we substitute our values into the formula:

0.63 ± 2.576 * √ [ (0.63)(0.37) / 49 ]

The expression inside the square root is the standard error (SE). Let's calculate that first:

SE = √ [ (0.63)(0.37) / 49 ] ≈ 0.070

Substituting SE into the formula, we get:

0.63 ± 2.576 * 0.070

Calculating the plus and minus terms:

0.63 + 2.576 * 0.070 ≈ 0.81 (or 81%)

0.63 - 2.576 * 0.070 ≈ 0.45 (or 45%)

So, the 99% confidence interval for the proportion of students having access to Wi-Fi is approximately (45%, 81%).

0.45 < p < 0.81

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9514 1404 393

Answer:

Step-by-step explanation:

Let x represent Josh's rate of travel in miles per hour. After 2 hours, his distance is ...

  distance = speed · time

  distance = x · 2 = 2x

Then 2x is Greg's rate of travel After 5 hours, his distance is ...

  distance = speed · time

  distance = (2x) · 5 = 10x

The distance they are apart is ...

  10x -2x = 256

  8x = 256

  x = 32

__

Josh's rate: 32 miles per hour; Josh's distance = (2 h)(32 mi/h) = 64 miles.

Greg's rate: (32 mi/h)·2 = 64 mi/h; Greg's distance = (5 h)(64 mi/h) = 320 miles.

__

Check: 320 miles - 64 miles = 256 miles . . . . correct separation

Answer:

the answer is 50 are you trying to find the answer

Answer:

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

Answer:

y = x + 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (4, 10) ← 2 points on the line

m = \(\frac{10-6}{4-0}\) = \(\frac{4}{4}\) = 1

the line crosses the y- axis at (0, 6 ) ⇒ c = 6

y = x + 6 ← equation of line

Answer:

This is what I got, but I think if you switch the IQR and Number of Data points, then you'll get it correct.

Step-by-step explanation:

Based on the box plots given:

The median in a box plot is the value indicated by the vertical line that divides the box.

Range = Max - min

Interquartile range = difference of the rectangular box = Q3 - Q1.

Therefore, based on the box plots given, we would conclude that:

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Answer:

Step-by-step explanation:

15% = 15/100

293.00 * 15/100 = Daniel's commission

Daniel's commission = 4395 / 100

Daniel's commission = 43.95

Answer:

d on edge

Step-by-step explanation:

its just the table flipped

Answer:

it's d

Step-by-step explanation: