??????????????????????????????

Answer:

orange

Step-by-step explanation:

Answer:

6°

Step-by-step explanation:

The angles in a triangle always add up to 180°. Let’s call the third angle x. That means that:

154 + 20 + x = 180 ->

174 + x = 180 ->

x = 180 - 174 ->

x = 6°

Hope that help! :)

Step-by-step explanation:

\( \frac{15}{100} \times 250 = 37.50 + 93.30 = 130.80\)

(a) The value of p(x) is 0.15 when x = 3.

(b) The mean of the discrete random variable is 0.1

What is meaning of discrete random variable?

A discrete random variable has a countable number of different possible values, such as 0,1,2,3,4, etc. Usually, but not always, discrete random variables are counts. A random variable is discrete if it can only take a finite number of different values.

Given table is

X        0         1          2        3

P(x)  0.72     0.11    0.02  

The sum of the probability of an event is 1.

Therefore

P(0) + P(1) + P(2) + P(3) = 1

Putting the value of P(0), P(1), P(2)

0.72 + 0.11 + 0.02 + P(3) = 1

0.85 + P(3) = 1

P(3) = 1- 0.85

P(3) = 0 .15

The mean of the discreate random variable is Σ xp(x) / Σ x

=[(0 × P(0)) + (1 × P(1)) + (2 × P(2)) + (3 × P(3))]/(0 + 1 + 2 + 3)

= (0 + 0.11 + 0.04 + 0.45) / 6

= 0 .1

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because we are finding for the variable and not the coefficient we divide it by the number attached to the variable which is the coefficient to get the result of the variable

Being amenable to scientific study means that a research topic can be investigated using scientific methods and principles.

When a research topic is described as being amenable to scientific study, it means that it can be effectively examined and analyzed using scientific methods and principles. This implies that the research question or phenomenon can be studied through systematic observation, data collection, experimentation, and analysis within the framework of scientific inquiry.

To be amenable to scientific study, a research topic should be measurable, testable, and capable of producing empirical evidence. It should lend itself to rigorous investigation, allowing for the formulation of hypotheses, the collection of data, and the application of statistical analysis or other scientific methodologies.

Furthermore, the topic should be well-defined and specific enough to be studied systematically, allowing for replication and peer review, which are essential aspects of scientific research.

Overall, being amenable to scientific study means that the research topic can be examined and understood using the established principles and methods of scientific inquiry.

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Answer:

a=24

Step-by-step explanation:

\(-\frac{a}{6}\)= -4

-a= -4*6

-a= -24

a= 24

A. Emma; Bob. Emma has a comparative advantage in milkshakes, while Bob does not have a comparative advantage in either milkshakes or ice cream sundaes. Emma also has an absolute advantage in both goods.

Comparative advantage refers to the ability to produce a good or service at a lower opportunity cost compared to another producer. In this case, Emma can produce 17 milkshakes in the same time it takes her to produce 102 ice cream sundaes. On the other hand, Bob can only produce 6 milkshakes in the same time it takes him to produce 30 ice cream sundaes. Emma's opportunity cost of producing milkshakes is lower than Bob's, indicating that she has a comparative advantage in milkshakes.

Additionally, Emma has an absolute advantage in both milkshakes and ice cream sundaes. She can produce more milkshakes (17) than Bob (6) in the same time period. Similarly, she can produce more ice cream sundaes (102) than Bob (30) in an hour. Absolute advantage refers to the ability to produce more of a good or service using the same amount of resources or the ability to produce the same amount using fewer resources. Therefore, based on the given information, the correct answer is A. Emma; Bob.

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Cindy spent a total of $128.09 on ingredients for pies. She will be able to make 18 slices of pie with this amount of ingredients.

1. Cindy spent $65.25 on ingredients for blueberry pies and $62.84 on ingredients for cherry pies.

2. Add the two amounts together: $65.25 + $62.84 = $128.09

3. Each slice of pie sells for $3.50.

4. Divide the total spent on ingredients by the cost of a slice of pie: $128.09 / $3.50 = 18 slices of pie.

the complete question is :

Cindy spent $65. 25 on ingredients for blueberry pies and $62. 84 on

ingredients for cherry pies. Each slice of pie sells for $3. 50.How much did Cindy spend on ingredients for blueberry and cherry pies, and how many pies can she make from that?

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The distance along the unit circle between any two successive 8th roots of 1 is c) π/4.

To find the distance along the unit circle between any two successive 8th roots of 1, we can consider the concept of angular displacement.

Each 8th root of 1 represents a point on the unit circle that is evenly spaced by an angle of 2π/8 = π/4 radians.

Starting from the point corresponding to 1 on the unit circle, we can move π/4 radians to reach the first 8th root of 1. Moving π/4 radians further will bring us to the second 8th root of 1, and so on.

Since we are moving by π/4 radians for each successive 8th root of 1, the distance between any two successive 8th roots of 1 is π/4 radians.

Therefore, the correct answer is option c. π/4.

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To find the area of a circle, we need to know the radius or diameter of the circle. Without this information, we cannot provide an exact answer for the area. However, if we are given the radius or diameter, we can use the formula for the area of a circle to calculate it.

The formula for the area of a circle is A = πr^2, where A represents the area and r represents the radius of the circle. If we are given the diameter instead of the radius, we can use the formula A = π(d/2)^2, where d represents the diameter.

To calculate the area of a circle, we need to know the value of π, which is a mathematical constant approximately equal to 3.14159. Once we have the radius or diameter value, we substitute it into the formula and calculate the area.

Since the question doesn't provide the radius or diameter of the circle, we cannot determine the exact area. However, if the radius or diameter is given, we can apply the formula and round the result to the nearest hundredth to provide an approximate area value.

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To find the angle in degrees and solve for c using the Law of Cosines, we'll use the given information α = 112°, a = 22, b = 18, and the formula from the Law of Cosines:

\(c^{2}\)= \(a^{2}\) + \(b^{2}\) - 2ab * cos(α)

\(c^{2}\) = 484 + 324 - 792 * cos(112°)

\(c=\sqrt{484+324-792* cos(112)}\)

c ≈ \(\sqrt{808-792* cos(112)}\)

cos (112°) ≈ -0.34202

Substituting this value into the equation:

c ≈ \(\sqrt{(808-792* (-0.34202))}\)

c ≈ 32.848

Therefore, the value of c, using the Law of Cosines, is approximately 32.848.

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If the variables "r" and "s" are inversely proportional and r=7 when s=6 , then when r = 10 , value of "s" will be 4.2 .

When the two variables are inversely proportional, their product is constant. That means, for two variables "r" and "s" , the it is represented in equation as :

⇒ r × s = k, where k is a constant ;

the value of variable "r" = 7 when s = 6,

First , we have to find the value of k:

⇒ k = r × s = 7 × 6 = 42 ;

So, for any value of r and s, the product "rs" will always be equal to 42.

When r = 10, we can use the equation to find s:

⇒ s = k/r = 42/10 = 4.2

Therefore , when r = 10 , the variable "s" is 4.2.

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The sample size used in the analysis was 300 sales calls for the given standard error.

The standard error (SE) is a statistical sample population's approximate standard deviation. The difference between the population's computed mean and one that is widely regarded as correct is described by the standard error. The standard error tends to be reduced the more data points included in the mean computations.

Given that, Lori obtains a book adoption on 20%, and the proportion of 0.400.

The Standard error is given as:

SE = √[p(1-p)/n]

Rearranging for n we have:

n = p(1-p)/(SE²)

n = 0.20(1-0.20)/(0.0400)²

n = 300.25

Hence, the sample size used in the analysis was 300 sales calls.

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The complete question is:

Answer:

:D

Step-by-step explanation:

:DDDD

Therefore, the perimeter can be calculated by adding up all four sides: p = 2b + 2n.

To find the perimeter (p) of a parallelogram, you need to know the length of all four sides. However, in this case, you are given the ratio of the base (b) to one of the sides (a), which is n/a.
Since a parallelogram has two pairs of parallel sides, the opposite sides are equal in length. Therefore, if the base is b, then the opposite side is also b. Using the given ratio, you can find the length of the other side (n) by multiplying a by n/a, which is n.
So, the length of the other side is also n, and the perimeter can be calculated by adding up all four sides: p = 2b + 2n.
However, if given the ratio of the base to one of the sides, you can use this to find the length of the other side. For this problem, if the base is b, then the opposite side is also b, and the length of the other side is n (where n/a = b/a).

Therefore, the perimeter can be calculated by adding up all four sides: p = 2b + 2n.

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Answer:

Width = 9

Step-by-step explanation:

According to the problem...

3x = length

x = width

2(3x + x) = 72

3x+x = 36

4x = 36

x = 9 = width

Hope that helped!!! k

Answer:

It was approximately a 9% decrease. (If you need to round to the nearest tenth, 9.1. If you need to round to the nearest hundredth, 9.10).

Step-by-step explanation:

I am going to assume that the question means that Andrea could have earned 220 points on the assignment, but instead because the assignment was late, she was marked down 20 points. (Reduced to 20 points is kind of awkward wording).

Given that, 20 divided by 220 comes out to 0.0909 repeating.

0.09, as a percentage, is 9%. (Again, 0.0909, 9.09%, could be rounded up to 9.1%).

Hope this helps!

Horizontal velocity of the bullet which was at a distance of 0.600m just before it strikes the disk from the axle is  648 m/s.

As given in the question,

Radius of the given disk 'r' = 0.600m

Mass of the given disk 'M' = 1.60 kg.

Mass of the used bullet 'm' = 0.0200 kg.

Distance of the rime from the axle 'L' = 0.600 m.

Angular speed of given disk 'ω' = 4.00 rad/s

Let us consider 'v' as the horizontal velocity of the given bullet

Angular momentum of given bullet = Angular momentum of given disk

m × v × L = (1/2)rω² ( M + m )

Substitute the value

0.0200 × v × 0.600 = ( 1/2) (0.600)(4)²( 1.60 + 0.0200)

⇒0.012v = 4.8( 1.62)

⇒ v= 7.776/ 0.012

⇒ v= 648m/s

Therefore, the horizontal velocity of the bullet which was strikes the disk just before at 0.600 m distance from axle is 648 m/s.

The above question is incomplete, the complete question is :

A uniform solid disk made of wood is horizontal and rotates freely about a vertical axle at its center. The disk has radius 0.600 m and mass 1.60 kg and is initially at rest. A bullet with mass 0.0200 kg is fired horizontally at the disk, strikes the rim of the disk at a point perpendicular to the radius of the disk, and becomes embedded in its rim, a distance of 0.600 m from the axle. After being struck by the bullet, the disk rotates at 4.00 rad/s. What is the horizontal velocity of the bullet just before it strikes the disk?

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Let us first find the equation of the plane that passes through the line of intersection of planes A and B. To find the equation of the line of intersection, we need to find the cross product of the normal vectors of planes A and B.n1 = (P2 - P1) x (P3 - P1)n1 = (5 - 5)i + (6 - 4)j + (1 - 1)kn1 = 2jn1 = 2j  {since i x i = j x j = k x k = 0, and i x j x k = -1}n2 = (Q2 - Q1) x (Q3 - Q1)n2 = (5 - 3)i + (2 - 2)j + (0 - 0)kn2 = 2iLet the line of intersection of planes A and B be represented by the vector v = ai + bjThen, v . n1 = 0 (perpendicular to n1) => ai.2j = 0 => a = 0 (since j is perpendicular to i)

Similarly, v . n2 = 0 (perpendicular to n2) => bj.2i = 0 => b = 0 (since i is perpendicular to j)Hence, the line of intersection is perpendicular to both n1 and n2.The direction vector of the plane perpendicular to the given plane is given by (1, 1, -2).The equation of the plane passing through the line of intersection of planes A and B is given by:v = P1 + k.n1 => r = (5, 4, 1) + k.(0, 2, 0) => r = (5, 4 + 2k, 1)w = Q1 + k.n2 => r = (3 + 2k, 2, 0) + k.(2, 0, 0) => r = (3 + 4k, 2, 0)

Thus, the direction vector of the plane containing the line of intersection of planes A and B is given by (-2k, 2, 0) and (0, 2k, 2k).Let the plane be represented by the vector w = pi + qj + rk.Then, w . (-2k, 2, 0) = 0 => -2kp + 2q = 0 => q = kp/2w . (0, 2k, 2k) = 0 => 2kp + 2kr = 0 => r = -p

Then, the equation of the plane is given by:p(x - 5) + (k/2)y - k(z - 1) = 0We know that the plane x + y = 2z = 1 can be written as x + y - 2z + 1 = 0The equation of the plane that passes through the line of intersection of planes A and B and is perpendicular to the plane x + y = 2z = 1 is:p(x - 5) + (k/2)y - k(z - 1) = λ(x + y - 2z + 1)where λ is the scalar constant.

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Answer:

The two numbers are a = 57 and b = -7

Step-by-step explanation:

Let's write the first sentence into an equation.

A) The sum of two numbers is 50

\(a+b=50\) (1)

B)The first number is 43 less than twice the second number.

\(a=43-2b\) (2)

Now, we just need to solve the system of equations (1) and (2)

Let's put (2) into the (1)

\(43-2b+b=50\)

\(43-b=50\)

\(b=43-50\)

\(b=-7\)  

Using this value in (1) we can find a

\(a-7=50\)

\(a=57\)

Therefore, the two numbers are a = 57 and b = -7

I hope it helps you!

same answer as the one above

1810

The complete range of acceptable pressures, p, for the scuba tanks is 2,600 psi ≤ p ≤ 3,300 psi to ensure safe and enjoyable diving experiences.

Maintaining the correct pressure in scuba tanks is critical for safe and enjoyable diving experiences. If the pressure is too low, the diver may not have enough air to complete the dive and may be at risk of running out of air.

If the pressure is too high, the tank could rupture or explode, posing a significant danger to the diver. It is essential to keep the pressure within the acceptable range of 2,600 psi to 3,300 psi.

This means that the pressure of the scuba tanks must be greater than or equal to 2,600 psi and less than or equal to 3,300 psi.The inequality that expresses the complete range of acceptable pressures, p, in psi, for the scuba tanks is 2,600 psi ≤ p ≤ 3,300 psi.

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Answer: V = 1,584 cm³

Step-by-step explanation:

V = l × w × h

V = 40 × 3 × 13.2 = 1,584³

I am pretty sure this is what you were asking, but if you need more information, I'm happy to help!

Answer:

area = 1375.2 cm^2

Step-by-step explanation:

area = (40 x 3 x 2) + (40 x 13.2 x 2) + (13.2 x 3 x 2) = 1375.2 cm^2

Answer:

7.2 miles

Step-by-step explanation:

See comment for complete question.

Let:

\((x,y) \to Havertville\)

Northtown will be represented as:

\((x+6,y+4)\) --- i.e 6 units right and 4 units up

The distance both is calculated using:

\(d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\)

This gives:

\(d = \sqrt{(x - (x + 6))^2 + (y -( y + 4))^2}\)

Remove brackets

\(d = \sqrt{(x - x - 6)^2 + (y - y - 4)^2}\)

Evaluate like terms

\(d = \sqrt{(-6)^2 + (-4)^2}\)

\(d = \sqrt{36 + 16}\)

\(d = \sqrt{52}\)

\(d = 7.2\ units\) -- approximated

From the question, we understand that:

\(1\ unit = \ mile\)

So:

\(d = 7.2\ miles\)

Answer:

a = 17 sqrt(2)

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opposite / hypotenuse

sin 45 = 17/a

Multiply each side by a

a sin 45 = 17

Divide each side by sin 45

a = 17 / sin 45

a = 17 / ( 1 / sqrt(2))

a = 17 sqrt(2)

When two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.

We need to find the type of correlation when two variables vary along with each other but the data points are loosely scattered around the line of best fit.

A scatter plot helps find the relationship between two variables. This relationship is referred to as a correlation. Based on the correlation, scatter plots can be classified as follows.

A weak positive correlation indicates that, although both variables tend to go up in response to one another, the relationship is not very strong. A strong negative correlation, on the other hand, indicates a strong connection between the two variables, but that one goes up whenever the other one goes down.

Therefore, when two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.

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Triangle:

Procedure:

The interior angles of a triangle add up to 180°. As we know two angles, we can get the third as follows:

Isolating for m∠J

Replacing the values given:

Then using the trigonometric functions, we can get the sides.

Answer:

• m∠J, = 22°

• JL = 19.01

• KL = 7.99

Therefore, the critical values for the test statistic Z₀ for a significance level of 0.08 are Z₀ = ±1.750.

To find the critical values for the test statistic Z₀ for a hypothesis test of a population mean with known variance σ, we need to determine the values that divide the upper and lower tails of the standard normal distribution, based on the given significance level.

For a two-tailed test at a significance level of α = 0.08, we need to split the significance level equally between the two tails, resulting in α/2 for each tail. In this case, α/2 = 0.08/2 = 0.04.

To find the critical value Z₀, we need to find the value of Z such that the area under the standard normal curve to the right of Z is equal to α/2 = 0.04.

Using a standard normal distribution table or a calculator, we can find that the critical value Z for an upper tail area of 0.04 is approximately Z = 1.750.

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