what function has a restricted domain

The null hypothesis is that the mean shearing strength of the rivets is equal to or greater than 725 lbs. The alternative hypothesis is that the mean shearing strength is less than 725 lbs. There is evidence at the 0.10 level of significance

Using a one-tailed test with a significance level of 0.10, we can determine if the sample data provides evidence to reject the null hypothesis in favor of the alternative.

The null hypothesis can be stated as H₀: µ ≥ 725, and the alternative hypothesis can be stated as H₁: µ < 725.

To test this hypothesis, we can use a t-test with a t-statistic of:

t = (\(\bar{X}\) - µ₀) / (s / √n)

Where \(\bar{X}\) is the sample mean, µ₀ is the null hypothesis mean (725 lbs.), s is the sample standard deviation, and n is the sample size.

Plugging in the given values, we get:

t = (720 - 725) / (20 / √50) = -1.77

Using 49 degrees of freedom (n-1), at a significance level of 0.10 and a one-tailed test, the critical t-value is -1.645. Since our calculated t-value (-1.77) is less than the critical t-value, we can reject the null hypothesis in favor of the alternative.

This means that there is evidence at the 0.10 level of significance that the mean shearing strength of the rivets is below 725 lbs.

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A parabola's vertex form equation is as follows:

y = a(x - h)^2 + k, where (h, k) represents the vertex of the parabola.

To use a calculator to find the equation of a parabola in vertex form, you would typically need to know the coordinates of the vertex and at least one other point on the parabola.

Determine the vertex coordinates (h, k) of the parabola.

Identify at least one other point on the parabola (x, y).

Substitute the values of the vertex and the additional point into the equation y = a(x - h)^2 + k.

Solve the resulting equation for the value of 'a'.

Once you have the value of 'a', substitute it back into the equation to obtain the final equation of the parabola in vertex form.

Note: If you provide specific values for the vertex and an additional point, I can assist you in calculating the equation of the parabola in vertex form.

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Answer:

is it from the text book

Step-by-step explanation:

The quantity of substance remains after 850 years is 8.98g if the half life of radioactive radium is 1,599 years.

The time taken by substance to reduce to its half of its initial concentration is called half life period.

We will use the half- life equation N(t)

N e^{(-0.693t) /t½}

Where,

N is the initial sample

t½ is the half life time period of the substance

t2 is the time in years.

N(t) is the reminder quantity after t years .

Given

N = 13g

t = 350 years

t½ = 1599 years

By substituting all the value, we get

N(t) = 13e^(0.693 × 50) / (1599)

= 13e^(- 0.368386)

= 13 × 0.691

= 8.98

Thus, we calculated that the quantity of substance remains after 850 years is 8.98g if the half life of radioactive radium is 1,599 years.

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When a person's test performance can be compared with that of a representative and pretested sample of people, the test is said to be standardized.

Standardization refers to the process of establishing norms or standards for a test by administering it to a representative and pretested sample of individuals. This allows for a comparison of an individual's test performance to that of the larger group. When a test is standardized, it means that it has undergone rigorous development and validation procedures to ensure that it is fair, consistent, and reliable.

Standardized tests provide a benchmark for evaluating an individual's performance by comparing their scores to those of the norm group. The norm group consists of individuals who have already taken the test and represents the population for which the test is intended. By comparing an individual's scores to the norm group, it is possible to determine how their performance ranks relative to others.

Therefore, when a person's test performance can be compared with that of a representative and pretested sample of people, it indicates that the test is standardized. Standardization is an essential characteristic of reliable and valid tests, as it ensures consistency and allows for meaningful comparisons among test-takers.

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The two pages the boys are reading are pages 31, and 30. I'm not sure which is which. (would depend on who is reading the odd number page).

Josiah is reading page 31. The page he is reading is an odd-numbered page is 31 by factorizing number.

Step 1: Determine the factors of 930.

The factors of 930 are 1, 2, 3, 5, 6, 10, 15, 31, 62, 93, 155, 186, 310, 465, and 930.

Step 2: Identify the factors that correspond to odd-numbered pages in the book.

Since Josiah is reading an odd-numbered page,  eliminate the even factors.

This leaves  with the odd factors:

1, 3, 5, 15, 31, 93, 155, and 465.

Step 3: Determine which odd factor corresponds to a page number within the range of the book.

Since the book has 50 pages,  eliminate the odd factors greater than 50. This leaves us with the odd factors: 1, 3, 5, 15, and 31.

Step 4: Identify the odd factor that, when multiplied by its complement, equals 930, that is:

31 × 30 = 930,

so Josiah is reading page 31.

Therefore, Josiah is reading page 31 of the book.

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Answer: H = (3,5)

Step-by-step explanation: I took the quiz and the answer was correct hope this helps

Answer:

176

Step-by-step explanation:

Multiply −22by −8.

Answer: +176

Explanation: To multiply (-22)(-8), remember that

a negative times a negative is a positive.

So (-22)(-8) is +176.

The probability that a student who passed the test did not complete the homework is 4/15.

We can use conditional probability to solve this problem. Let A be the event that a student passed the test, and let B be the event that a student completed the assignment. Then we want to find the probability of A given not B, denoted as P(A | not B).

From the given information, we know that:

- P(A) = 18/27 = 2/3 (since 18 out of 27 students passed the test)

- P(B) = 17/27 (since 17 out of 27 students completed the assignment)

- P(A and B) = 15/27 (since 15 out of 27 students passed the test and completed the assignment)

To find P(A | not B), we first need to calculate P(not B), the probability that a student did not complete the assignment. This can be found using the complement rule:

P(not B) = 1 - P(B) = 1 - 17/27 = 10/27

Now we can use Bayes' theorem to find P(A | not B):

P(A | not B) = P(not B | A) * P(A) / P(not B)

We can find P(not B | A) using the formula:

P(not B | A) = P(A and not B) / P(A)

We know that P(A and B) = 15/27, so P(A and not B) = P(A) - P(A and B) = 2/3 - 15/27 = 4/27. Substituting into the formula:

P(not B | A) = (4/27) / (2/3) = 2/9

Substituting this value, along with the values we previously calculated, into Bayes' theorem:

P(A | not B) = (2/9) * (2/3) / (10/27) = 4/15

Therefore, the probability that a student who passed the test did not complete the homework is 4/15.

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Answer:

The correct option is A,3875  passengers

Step-by-step explanation:

The curve of best fit for the date y=-5x^2+60x+3715

For April which month 4  which means that x is 4

By substituting 4 for x in the equation we can determine y, the number of passengers that arrived on flights at the airport  is determined thus.

y=-5*4^2+(60*4)+3715

y=-5*16+240+3715

y=-80+240+3715=3875

The number of passengers that arrived by flights in April, month 4 is 3875

The answers from (a) and (b) are seemingly very different because the limits of integration would be different due to the different values of sin⁻¹u and cos⁻¹u.

Given integral:

∫3x²sin(x³)cos(x³)dx

(a) Using the substitution

u=sin(x³)

Substituting u=sin(x³),

we get

x³=sin⁻¹(u)

Differentiating both sides with respect to x, we get

3x²dx = du

Thus, the given integral becomes

∫u du= (u²/2) + C

= (sin²(x³)/2) + C

(b) Using the substitution

u=cos(x³)

Substituting u=cos(x³),

we get

x³=cos⁻¹(u)

Differentiating both sides with respect to x, we get

3x²dx = -du

Thus, the given integral becomes-

∫u du= - (u²/2) + C

= - (cos²(x³)/2) + C

Thus, the answers from (a) and (b) are seemingly very different because the limits of integration would be different due to the different values of sin⁻¹u and cos⁻¹u.

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Answer:

Option 4

Step-by-step explanation:

Option 4 is a function because if you draw vertical lines one on the lines will only go through the line once options 1-3 the line would go through multiple times.

There are 120 different ways to order 5 people in line at the ice cream truck.

To find the number of ways to order a group of people in line, we can use the formula for permutations, which is $n!$, where n is the number of people in the group.

In this case, we are ordering 5 people in line at the ice cream truck. Using the formula for permutations, we can calculate the number of ways to order these 5 people as $5! = 120$.

Therefore, there are 120 different ways to order 5 people in line at the ice cream truck.

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Answer:

B is your answer

Step-by-step explanation:

The equations which are equivalent to -1/4(x) + 3/4 = 12 are -1(x/4) + 3/4 = 12 and -x/4 +3/4 = 12. Choose the 2nd and 5th options

Equivalent equations are equations that work the same way even though they look different

The given equation is -1/4(x) + 3/4 = 12 which can simplified as:

-1/4(x) + 3/4 = 12

(-x + 3)/4 = 12

Compare with options:

1. 4x/1 + 3/4 = 12

4x/1 + 3/4 = 12

This is not equivalent

2. -1(x/4) + 3/4 = 12

-1(x/4) + 3/4 = 12

-x/4 + 3/4 = 12

(-x + 3)/4 = 12

This is equivalent

3. -(x+3)/4 = 12

-(x+3)/4 = 12

This is not equivalent

4. 1/4(x+3) = 12

1/4(x+3) = 12

This is not equivalent

5. -x/4 +3/4 = 12

-x/4 +3/4 = 12

(-x+3)/4 = 12

This is equivalent

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Answer:it’s b and d

Step-by-step explanation:

Answer:

$63.89

Step-by-step explanation:

59.99 * 6.5% = 3.89935. we can round that to $3.90.

59.99 + 3.90 = $63.89 total

Answer:

$3.90

Step-by-step explanation:

6.5% of $59.99 is $3.90.

Feel free to give brainliest.

Have an outstanding day!

Answer: Scientific notation is used in the real world to make writing very large numbers, like the distance of a star from Earth or the weight of our oceans, much simpler and easier, especially when writing them in things like reports or scientific papers.

Step-by-step explanation: For example, the distance of the Sun from Neptune is somewhere around 4,500,000,000km. Writing this number takes time, and when you have to write this over and over, it wastes time, so instead, you would write 4.5 × 10⁸, which is much shorter and saves time when writing it down in a scientific report/paper many times.


Sorry for the really long explanation, I'm pretty sure just the 'Answer' bit should be fine, but you can include the 'Step-by-step explanation' bit if you want.

Hope this helps!

Answer:

its c

ududhsihsisbishsusbusvsusbusbduusususuuusueuieieiejejdhebteybybeybsbysyneybdyndybbydbyeynydnnydndyjdyj8ggnxr

Step-by-step explanation:

fhjfjjgcmhmhcxmgkhfkhffhkhfkgfoyfkyftfutdutxjtxoyf

Answer:

1.39

Step-by-step explanation:

nearest hundredth is 9

therefore 1.39 ig

Answer:

1.39

Step-by-step explanation:

0.090 is the hundreth. If the number in the thousandths spot is less than 5, which it is, you round back to 0.090

Answer:

The longer piece is 10 m, and the shorter piece is 6 m.

Step-by-step explanation:

16 / (5 + 3) = 2 m

2 x 5 = 10 m

2 x 3 = 6 m

After constructing and solving the linear equation \(x+\frac{3}{5}x=16\), we obtain that the shorter piece of the wire is \(6\) m long whereas the longer piece is \(10\) m long.

For the given problem, we construct a linear equation and solve it to find the answer.
Let the length of the longer piece of the wire be \(x\) m.

Then, by the question, the other (shorter) piece will be \(\frac{3}{5}x\) m long.

So, the total length will be \(x+\frac{3}{5} x=\frac{8x}{5}\) m.

But according to the question, the total length of the wire is \(16\) m.

Thus, we must get \(\frac{8x}{5}=16\). This is the required linear equation to be solved. By solving, we get:

\(\frac{8x}{5}=16\\ \Longrightarrow 8x=16\times 5\\\Longrightarrow x=\frac{16\times 5}{8}\\ \therefore x=10\)

Also, \(\frac{3}{5} x=\frac{3}{5}\times 10=6\).

Therefore, the shorter piece of the wire is \(6\) m long whereas the longer piece is \(10\) m long.

Answer:

Step-by-step explanation

Frist, the area = ab = 30 m^2 and the perimeter = 2(a + b) = 34 m or a + b = 17 m (2). Solving (1) and (2), a = 15 m and b = 2 m. Since it is a rectangle, the dimensions are (all in m) so the answer is: 15, 2, 15, 2.

Answer:

THe kitchen is 8 by 10

Step-by-step explanation:

x = width

y = length

Area = xy = 80 m²

Perimeter = 2x + 2y = 36 m

2x = 36 - 2y

x = 18 - y   substitute into equation 1

(18 - y)(y) = 80

-y² + 18y - 80 = 0    find roots of y by factoring

y² - 18y + 80 = 0

(y - 8)(y - 10) = 0

y = 8, 10

Since xy = 80, then:

x = 80/10 = 8, or, x = 80/8 = 10

Now you have your dimensions: 8 and 10

To check the answers:

8 x 10 = 80 m²

2(8) + 2 (10) = 36 m

Answers are correct!

Answer:

4.25

Step-by-step explanation:

Answer:

1 =125

2=55

3=95

...........

The statement "The height of the probability density function f(x) of the uniform distribution defined on the interval [a, b] is 1/(a-b)" is False.

In a uniform distribution, the probability density function (PDF) is constant within the interval [a, b]. The height of the PDF represents the density of the probability distribution at any given point within the interval. Since the PDF is constant, the height remains the same throughout the interval.

To determine the height of the PDF, we need to consider the interval length. In a uniform distribution defined on the interval [a, b], the height of the PDF is 1/(b - a) for the PDF to integrate to 1 over the entire interval. This means that the total area under the PDF curve is equal to 1, representing the total probability within the interval [a, b].

Therefore, the correct statement is that the height of the probability density function f(x) of the uniform distribution defined on the interval [a, b] is not 1/(a - b), but rather it is a constant value necessary for the PDF to integrate to 1 over the interval, i.e., 1/(b - a).

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Answer:

Step-by-step explanation:

Refer to your previous question:

Radius of the inscribed circle is the apothem of the hexagon.

Apothem (a) and half of the side (s) make a 30-60-90 right triangle.

The ratio of the legs, as per property of 30-60-90 triangle:

Half the side is s = 10 units, then side of the hexagon is 20 units.

The area of the hexagon:

Correct choice is D

Answer:ok??/????????

Step-by-step explanation:Whaaaaat?????

Answer:

You need to figure out how many minutes per kilometer.

Lynda ran 22 divided by 5 = 4.4 minutes per kilometer

Janet ran 8.5 divided by 2 = 4.25 minutes per kilometer

Therefor, Janet ran the faster race.

Step-by-step explanation:

Area of the given shape = Area( Triangle + Square + Rectangle)

Area of Triangle = 1/2 x base x height

= 1/2 x (7-2) x (9-5)

= 1/2 x 5 x 4

= 10

Area of square = side × side

= (7-2) x ( 9-4)

= 5 x 5

= 25

Area of rectangle= base x height

= 2 x 5

= 10

Therefore , the area of given shape = 10+25+10 = 45