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One-sided hypothesis test: Incoming students' grades based on the online program.

Two-sided hypothesis test: Men's and women's usage of mobile fitness app, listeners of a streaming music service based on user intappserface change, and users of a commercial website making a purchase based on user account requirement.

We have,

Classifying the scenarios as one-sided or two-sided tests:

One-sided hypothesis test:

Test whether incoming students at a business school receive better grades in their classes if they've taken an online program covering basic material.

Two-sided hypothesis test:

Test whether there is a difference between men's and women's usage of a mobile fitness app.

Two-sided hypothesis test:

Test whether the number of listeners of a streaming music service has changed after they changed the user interface.

One-sided hypothesis test:

Test whether users of a commercial website are less likely to make a purchase if they are required to set up a user account on the site.

Thus,

One-sided hypothesis test: Incoming students' grades based on the online program.

Two-sided hypothesis test: Men's and women's usage of mobile fitness app, listeners of a streaming music service based on user intappserface change, and users of a commercial website making a purchase based on user account requirement.

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Answer:

y = -1/12x + 11

Step-by-step explanation:

An ordered pair is the form (x,y)  Us the x and y from the point and the slope to find the y intercept and then you can write the equation.

Use o for x and  11 and or y and - 1/12 for m

y = mx + b

11  = (-1/12)(0) + b

11 = b

y = -1/12x + 11

Answer:

Y = -1/12 x + 11

Step-by-step explanation:

Start with point (0,11)   slope ( -1/12)  form :

(y-11) = -1/12 (x-0)

      re-arrange to slope intercept form just by adding 11 to both sides

y = -1/12 x + 11    

Answer: 88mm, 72mm, 198mm

The sum of the lengths of sides a, b must be greater than the length of the remaining side c.

88+72 is 160 but for it to be a triangle the value of these sides must be greater than 198.

Answer:

C

Step-by-step explanation:

The scuba diver started at -55 feet as it says below the surface then went up 20 feet so the equation would be -55+20=-35

Answer:

\(\frac{77\pi }{3}\) cm³

Step-by-step explanation:

The volume (V) of a sphere is calculated as

V = \(\frac{4}{3}\)πr³ ( r is the radius )

Here diameter = 4 cm , hence r = 4 ÷ 2 = 2 cm

V = \(\frac{4}{3}\)π × 2³ = \(\frac{4}{3}\)π × 8 = \(\frac{32\pi }{3}\) cm³

Thus

combined volume = \(\frac{32\pi }{3}\) + 15π = \(\frac{32\pi }{3}\) + \(\frac{45\pi }{3}\) = \(\frac{77\pi }{3}\) cm³

Q has coordinates

P is 6units left

R is 7units up

Option B

Answer:

B)  P (-4, 4) and R (2, 3)

Step-by-step explanation:

Q = (2, -4)

If ΔPQR is a right triangle, then

If PQ is 6 units, then

P = (2-6, -4) = (-4, -4) or

P = (2, -4+6) = (2, 2)

If QR is 7 units, then

R = (2-7, -4) = (-5, -4) or

R = (2, -4+7) = (2, 3)

Therefore, P (-4, 4) and R (2, 3)

Answer:

C. ∠ZXY and D. YX

Step-by-step explanation:

C. ∠ZXY

because the middle letter is always the angle or the turning point of an angle and also it is in order based on the diagram. The angle won't change even if you look at it on a different point of view or if the diagram was flipped.

D. YX

because the line YX is a true statement because XY or YX is on the same line that goes on and on. You can tell because there's arrows on the end of the line.

The new volume of the air leaving the compressor can be calculated using Boyle's Law, which states that for a fixed amount of gas at a constant temperature, the product of pressure and volume is constant.

According to Boyle's Law,\(P1V1 = P2V2\), where \(P1 and V1\) are the initial pressure and volume, and \(P2 and V2\) are the final pressure and volume, respectively. In this case, we are given the initial volume (V1 = 0.8 cu in) and the initial pressure (P1 = 14.7 psi), as well as the final pressure (P2 = 42 psia).

Using Boyle's Law, we can rearrange the formula to solve for \(V2:\)

\(V2 = (P1 * V1) / P2\)

Plugging in the values, we get:

V2 = (14.7 psi * 0.8 cu in) / 42 psia

Simplifying the equation, we find:

\(V2\) ≈ 0.280 cu in

Therefore, the new volume of the air leaving the compressor is approximately 0.280 cubic inches. It's important to note that this calculation assumes the temperature remains constant throughout the process.

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Given the distance covered and the time elapsed, if the bike is at a constant rate, the speed of Bob's bikes is 16 mph.

Option C) is the correct answer.

Speed is simply referred to as distance traveled per unit time.

Mathematically, Speed = Distance ÷ time.

Given the data in the question;

Speed = Distance ÷ time

Speed = 8miles / 0.5hrs

Speed = 16 mph

Therefore, Given the distance covered and the time elapsed, if the bike is at a constant rate, the speed of Bob's bikes is 16 mph.

Option C) is the correct answer.

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Yes, the connection between the semimajor axis and an orbit's period varies as the eccentricity of the orbit changes.

In geometry, the eccentric definition is the distance from any point on a conic section to the focus divided by the perpendicular distance from that point to the nearest directrix. In general, eccentricity aids in determining the curvature of a form. The eccentricity grows as the curvature lowers.

Here,

In general, an orbit's period is proportional to the square root of the semimajor axis multiplied by three. This connection, however, is only valid for circular orbits with zero eccentricity. When the eccentricity is larger than zero, the period of the orbit is still determined by the magnitude of the semimajor axis, but it is also determined by the form of the orbit as given by the eccentricity. The relationship between the semimajor axis and the period in this situation is not as straightforward as a proportionate relationship.

As a result, modifying an orbit's eccentricity modifies the connection between the semimajor axis and the period.

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The numbers in the order of least to greatest is :

₋1.8 , ₋1/4 , 1/2 , 1.41 , 7.2 , 9.1 , 121

Given, the numbers are in decimal and fraction form.

1/2 , -1/4 , 7.2 , 121 , 1.41 , -1.8 , 9.1

we need to convert the fractions and then arrange the numbers in the ascending order.

Writing the numbers in an ordered list according to their values means arranging them from least to greatest. The smallest number should be put on the left, followed by the next smallest number, which should be written directly to its right.

for 1/2:

1/2 = 0.5

for ₋1/4:

₋1/4 = 0.25

now arrange the numbers according to the least to greatest form.

we have numbers:

0.5 , 0.25 , 7.2 , 121 , 1.41 , ₋1.8 , 9.1

least to greatest form:

₋1.8 , 0.25 , 0.5 , 1.41 , 9.1 , 121

i.e , ₋1.8 , 1/4 , 1/2 , 1.41 , 9.1 , 121

Hence we get the required form.

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Answer:

vnfcjvfn dcjxfhhnvn vn

Step-by-step explanation:

Answer:

the value of 7x-y is -14.

Step-by-step explanation:

When x=2 and y=4,

To find the value of 7x - y when x =2, y = 4, this means when ever you see x, put 2 in replacement, y, put 4 respectively.

7x - y = 7(2 - 4)

14 - 28

= -14.​

Answer:

7k

Step-by-step explanation:

b = \(\frac{2f}{3}\) - \(\frac{ax}{3}\)

hope this helps <3

The length of the diagonal of the square is \(4\sqrt{2}\) units. Additionally, the area of the square is \(16\) square units.

Yes, the value given is a plausible value of p.

A confidence interval is a range of values that is likely to contain the true value of a population parameter. In this case, the confidence interval is 0.67 to 0.75, which means that the true value of p is likely to be between 0.67 and 0.75. Since the value given falls within this range, it is a plausible value of p.

It is important to note that a confidence interval does not guarantee that the true value of p is within the given range. It simply means that there is a certain level of confidence, usually 95%, that the true value of p is within the given range.

However, since the value given falls within the confidence interval, it is a plausible value of p.

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The focus is the point inside a parabola that helps determine the shape of the curve.

A parabola is an equation of a curve, such that any point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix of the parabola.

The equation of a parabola:

y = a(x - h)² + k

We have,

A parabola is a type of curve that is formed when a plane intersects a cone at an angle that is parallel to one of the cone's sides.

One of the key defining features of a parabola is that all points on the curve are equidistant from a fixed point, known as the focus, and a fixed line, known as the directrix.

The focus is located inside the parabola, and its distance from the directrix is equal to the distance from any point on the parabola to the directrix.

This property allows us to use the focus and directrix to determine the shape and location of the parabola.

Thus,

The focus is the point inside a parabola that helps determine the shape of the curve.

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Answer:

0

Step-by-step explanation:

The function f is twice differentiable on the interval [a, b], conditions provide some information about the behavior of the function f on the given interval.

Based on the given conditions, we can conclude the following:
1. The function f is defined on a non-degenerate closed interval [a, b] in the real numbers.
2. The function f is twice differentiable, meaning its derivative exists and is also differentiable.
3. The value of f(a) is negative, indicating that the function takes a negative value at the left endpoint of the interval.
4. The value of f(b) is positive, indicating that the function takes a positive value at the right endpoint of the interval.
5. The derivative of f, denoted as f'(x), is greater than or equal to a positive constant c for all x in the interval (a, b). This implies that the function is increasing or non-decreasing throughout the interval.
6. The second derivative of f, denoted as f''(x), is greater than or equal to 0 and less than or equal to a constant m for all x in the interval (a, b). This implies that the function is concave up or non-concave down throughout the interval.
These conditions provide information about the behavior of the function f within the interval [a, b].

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Answer:

\(\frac{16}{7}\)

Step-by-step explanation:

We have: \(41 = 21d - 7\). We add 7, to get rid of the 7, to the other side. \(41+7=21d. \\41+7=48.\\48=21d.\)

41÷21, is\(\frac{16}{7}\)

Answer:

4

Step-by-step explanation:

Answer:

The slope is 5/6

Step-by-step explanation:

rise/run

Hope this helps!

9514 1404 393

Answer:

  k = 56°

Step-by-step explanation:

If b represents a base angle in an isosceles triangle, and 'a' represents the ap.ex angle, then the relation between them is ...

  2b +a = 180°

from which we get ...

  a = 180° -2b

  b = (180° -a)/2

__

The angle at lower right is a base angle of the outside isosceles triangle. Its value is (180° -56°)/2 = 124°/2 = 62°.

The angle marked k is the ap.ex angle of the triangle whose base angle is 62°. We have already seen that the ap.ex angle is 180° -2(62°) = 56°.

  k = 56°

_____

We don't see x anywhere on the diagram. The unmarked angle at lower left will be 62° -56° = 6°.

The obtuse angle on the right will be 180°-56°-6° = 118°. The acute angle of that linear pair is the other base angle of the smaller isosceles triangle, so is 62°.

Answer:

\(\dfrac{74}{20}=3.7 meters\)

Step-by-step explanation:

Hello!

1) Since no other data has been given. Suppose Natasha is in the center and the beagle is to the right.

\(\dfrac{25}{4} \:meters\)  

2) The labrador is \(\dfrac{51}{20}\: to\: the\: left.\)

\(\dfrac{25}{4} -\dfrac{51}{20} =\dfrac{(5*25)-51}{20} \\\dfrac{(125-51}{20} =\dfrac{74}{20}\)

Answer:

The answer is B :D hope this helps

Step-by-step explanation:

Answer:

y=10

Step-by-step explanation:

y=4x+2

y=4(2)+2

y=8+2

y=10

Answer:

y=10

Step-by-step explanation:

plug-in 2 to x

\(y=4(2)+2\)

multiply 4 and 2

\(y=8+2\)

add 8 and 2

\(y=10\)

Answer:

0.0125x or x/80

Step-by-step explanation:

Salary: x dollars per year

To find the pay per month, we divide the annual pay by 12.

The monthly pay is x/12

15% of the first month's salary is

15% of x/12 = 0.15 * x/12 = 0.0125x = x/80

Answer: 0.0125x

So the image of the point (-9, -3) under the translation is (-7, -1).

Every point in the plane is translated by shifting it a predetermined distance in one direction to a new position. The translation moves the point (x1, y1) by the same horizontal and vertical distances to reach to point (x2, y2) if the image of the point (x1, y1) under a translation is (x2, y2) (x2, y2).

We can observe that the translation shifts the point -2 units to the right and 2 units up if we consider that the image of point (-3, -6) under a translation is (-1, -8).

By shifting the point -9 units to the right and -3 units up by 2 units, the image of the point (-9, -3) under the same translation may be found:

(-9 + 2, -3 + 2) = (-7, -1) (-7, -1)

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Based on the simulations from parts (A) thru (E), the shape of the distribution of "heads" is bell-shaped. Therefore, the correct answer is B. Bell-shaped.

What is the most probable distribution's shape?

Bell-shaped distributions, sometimes referred to as normal or Gaussian distributions in math and science, are the most significant probability distribution shapes since they are typically the result of sufficiently big data sets from naturally occurring random variables.

The mathematical idea known as the normal distribution, and also referred to as the Gaussian distribution, is commonly defined by the mound form.

When data points are utilized to plot a line for a particular item that satisfies the requirements of the normal distribution, a form called a mound is produced.

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It is likely that the entire batch will be accepted based on this procedure.

To calculate the probability that the firmware in the entire batch will be accepted, we need to determine the probability of no failures occurring in the three pacemakers randomly selected from the batch.

Given that there were 402 cases of firmware malfunctions out of 8537, the probability of a single pacemaker having a firmware malfunction is:

P(firmware malfunction) = 402/8537 ≈ 0.047

Since the firmware malfunctions are assumed to be independent events, the probability of no failures in the three pacemakers can be calculated as:

P(no failures) = (1 - P(firmware malfunction))^3

P(no failures) = (1 - 0.047)^3 ≈ 0.852

Therefore, the probability that the firmware in the entire batch will be accepted is approximately 0.852.

Since this probability is quite high (approximately 0.852), it is likely that the entire batch will be accepted based on this procedure.

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Answer:

Positive nonlinear association

Step-by-step explanation:

It is slightly curved upwards and not spread out so its positive and nonlinear

Here are some images to help you understand more