if two variables are correlated to each other, which two of the following are characteristics of the dependent variable? multiple select question. it is usually shown on the horizontal axis of a scatter diagram. in a cause and effect relationship, it is the effect. in a cause and effect relationship, it is the cause. it is usually shown on the vertical axis of a scatter diagram. need help? review these concept resources.

The probability that a child is not allergic to nuts is 0.986, or 98.6%.

The probability that a child is not allergic to nuts can be calculated by subtracting the probability of being allergic to nuts from 1.

Given the probabilities of a child being allergic to nuts, dairy, and gluten, we are interested in finding the probability that a child is not allergic to nuts.

The probability of being allergic to nuts is given as 0.014.

To find the probability that a child is not allergic to nuts, we subtract this value from 1.

P(Not allergic to nuts) = 1 - P(Allergic to nuts) = 1 - 0.014 = 0.986

Therefore, the probability that a child is not allergic to nuts is 0.986, or 98.6%.

This calculation is based on the assumption that being allergic to nuts and being allergic to other foods are independent events.

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Answer:

1 unit

......................................

Greetings!

Let's find the domain of the function.

We were given: f(x) = 9 - 5/(x^4)

The domain of a function is a group of values that are valid within the function. The domain could range from (-∞, ∞)

However, since we have a fraction, there will be a limit to the range of values.

In this case, we will have to find what value the variable "x" can't be.

Since we are analyzing the "5/(x^4)" part of the function, we know that fractions can't have a denominator of 0. This means that the denominator can't equal zero.

x^4 ≠ 0

Solve for "x" by taking the root of both sides of the equations.

x ≠ 0 Therefore x can't equal 0.

This means that the value of "0" will not be in our domain, making our domain from:

(-∞, 0)∪(0, ∞)

The above means that we are including all the values (due to the use of infinity), except for the value 0.

Answer:

(-∞, 0)∪(0, ∞)

The amount will be equal to $1348.07. The correct option is A.

Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-

\(\rm A = P(1+\dfrac{r}{n})^{nt}\)

Compound Interest Formula:

A = Account Balance

P = Principle/Initial Amount

r = Rate of Interest (decimal)

n = Number of times compounded (per year)

t = Number of Years

Given Information

Account Balance = ?

It is given that the balance after 15 years in a savings account earns 2% interest compounded bi-monthly when the initial deposit is 1000.

This is because we are gaining money, so the multiplier should be greater than 1. We already added 1, which is 100% so you simply add the 0.02 for the extra 2%.

Number of times compounded per year = 6

This is because it is being compounded bi-monthly, or once every 2 months. 12 months divided by 2 months is 6 months, so 6 times a year.

Number of years = 15

Solve by plugging the given values into the formula.

\(\rm A = P(1+\dfrac{r}{n})^{nt}\)

\(\rm A = 1000(1+\dfrac{0.02}{6})^{6 \times 15}\)

A = 1000 x (1.14)

A = $1348.07.

Therefore, the amount will be equal to $1348.07. The correct option is A.

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The total cost function considers the costs of labor and capital, the supply function determines the quantity supplied based on the production function, the profit function calculates the difference between revenue and cost, and the demand function for capital reflects the equilibrium between the marginal product of capital and the rental rate.

a. The total cost function (C) for this firm can be calculated by multiplying the cost of labor (w) with the number of hours of labor (L) and adding it to the cost of capital (r) multiplied by the quantity of capital (K).

So, C = wL + rK.

b. The supply function (MC) for assembled calculators [q(P,v)] can be found by taking the derivative of the production function with respect to q. In this case, MC = ∂q/∂k * ∂k/∂P.

To find q, you will need to substitute the given value of P and v into the production function.

c. The profit function (π) for this firm, stated as a function of the parameters "P" and "v", can be calculated by subtracting the total cost (C) from the revenue (P*q).

So, π = P*q - C.

d. The demand function for capital (k) can be obtained by equating the marginal product of capital (∂q/∂k) to the rental rate (v).

Solve for k to find the demand function for k.

e. The above functions (C, MC, π, k) have the form they do because they are derived from economic principles such as cost minimization, profit maximization, and the marginal productivity of inputs.

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The probability of getting candy is 1/5.

Let's assume that there are 5 possible paths to take in the maze and only 1 of those paths leads to the candy.

Therefore, the probability of a student getting candy at the end of the maze is:

1/5 or 0.2 or 20%.

We used the classical probability model because there are a limited number of possible outcomes that are equally likely to occur.

In this case, the probability of getting candy is the ratio of favorable outcomes (1) to total outcomes (5).

Therefore, the probability of getting candy is 1/5.

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Answer:

20%

Step-by-step explanation:

45

22 bronze

14 silver

so 45- 22 -14 =9 gold

9/45 = 1/5 =20%

The equation in slope-intercept form is y = x - 3

The points are drawn on the graph

The line is drawn

The solution area is shaded

The point (0, 0) is a point in the solution area

From the question, we have the following parameters that can be used in our computation:

y > x - 3

The above expression is an inequality

And it is already in a slope-intercept form

Express as equation

y = x - 3

So, y = x - 3 is the slope-intercept form

We have

x = -1, 0 and 1

So, we have

y = -1 - 3 = -4

y = 0 - 3 = -3

y = 1 - 3 = -2

So, the table of values is

x   -1     0     1

y   -4     -3   -2

From the table, we have the points

(-1, -4), (0, -3) and (1, -2)

The points are on the graph and the line is also drawn

Also, the solution area is shaded

We have

y > x - 3

Set x = 0 and y = 0

So, we have

0 > 0 - 3

Evaluate

0 > -3

This is true

So, (0, 0) is a point in the solution area

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The solution to the system of equations is:

X = -171, Y = -531, and Z = 363.

To solve the system of equations:

2X + 4Y + 2Z = 144 (Equation 1)

0.5X + 0.25Y = 60 (Equation 2)

1.5X + 0.5Y + Z = 36 (Equation 3)

We can use row operations to simplify and solve the system.

Let's start with Equation 2. Multiply both sides of Equation 2 by 4 to eliminate decimals:

2X + Y = 240 (Equation 4)

Now, let's solve Equations 1 and 4 using row operations. Multiply Equation 4 by -2 and add it to Equation 1:

-4X - 2Y = -480 (Equation 5)

2X + 4Y + 2Z = 144 (Equation 1)

   2Y + 2Z = -336  (Equation 6)

Next, let's solve Equations 3 and 6 using row operations. Multiply Equation 6 by -3 and add it to Equation 3:

-3Y - 3Z = 1008 (Equation 7)

1.5X + 0.5Y + Z = 36 (Equation 3)

1.5X - 2.5Z = -972 (Equation 8)

We now have a simplified system of equations:

2Y + 2Z = -336 (Equation 6)

1.5X - 2.5Z = -972 (Equation 8)

-3Y - 3Z = 1008 (Equation 7)

Now, we can solve this system by using additional row operations.

Multiply Equation 6 by 1.5 and add it to Equation 8:

-4Z = -1452

Solving for Z, we get Z = 363.

Substituting the value of Z back into Equation 6, we can solve for Y:

2Y + 2(363) = -336

2Y = -1062

Y = -531.

Finally, substituting the values of Y and Z into Equation 7, we can solve for X:

-3(-531) - 3(363) = 1008

X = -171.

Therefore, the solution to the system of equations is:

X = -171, Y = -531, and Z = 363.

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Answer:

I wish you the best dont let people brign you down sending love

Step-by-step explanation:

Yes , the integer k is divisible by 4 and statement (1) alone is sufficient to determine that k is divisible by 4.

Given data ,

Let the equation be represented as A

Now , the value of A is

a)

To determine if the integer k is divisible by 4, let's analyze the given statements:

Statement (1): 8k is divisible by 16.

This means that 8k is a multiple of 16. Since 16 is divisible by 4, we can conclude that k must be divisible by 4 as well. Therefore, statement (1) alone is sufficient to determine that k is divisible by 4.

8k = 16

k = 2

b)

This statement does not provide direct information about the divisibility of k by 4. While 12 is divisible by 4, the fact that 9k is divisible by 12 does not guarantee that k itself is divisible by 4.

9k = 12

k = 12/9

k = 4/3

So , it is not an integer

In conclusion, statement (1) alone is sufficient to determine that k is divisible by 4. Statement (2) is not sufficient on its own.

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The measures of angles 4 and 5 are:

∠5 = 104°

∠4 =76°

On the image we can see that angles 1 and 2 are next to eachother, that means that the sum of their measures must be a plane angle, that is an angle of 180°.

Then we can write the sum:

∠1 + ∠2 = 180°

(3x + 5) + (2x + 10) = 180

5x + 15 = 180

5x = 180 - 15

x = 165/5 = 33

the measure of angle 5 is the same one of angle 1 then:

∠5 = (3*33 + 5)° = 104°

And angle 4 is supplementary of angle 1, then:

∠4 + 104° = 180°

∠4 = 180 - 104= 76°

These are the measures

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Answer:

concrete jungles where dreams are made of

Step-by-step explanation:

Answer:

There is a common ratio of 2/3 between the height of the ball at each bounce. So, the bounce heights form a geometric sequence: 27, 18, 12. Two-thirds of 12 is 8, so on the fourth bounce, the ball will reach a height of 8 feet.

Step-by-step explanation:

Sample response :)

Answer:

the slope of the line x+y = 6 is -1.

Step-by-step explanation:

slope = - coefficient of x

----------------------

coefficient of y

slope = -1 /1

slope = -1

Answer:

A: -1

Step-by-step explanation:

The probability of getting 2 tails is option (b) 37.5%

The event of "2 tails" can occur in three possible outcomes: {htt, tht, tth}, so the probability of getting 2 tails is the sum of the probabilities of these three outcomes.

Each toss of a fair coin is independent and has a 50% chance of landing tails. Therefore, the probability of each of these three outcomes is:

P(htt) = 1/2 × 1/2 × 1/2 = 1/8

P(tht) = 1/2 × 1/2 × 1/2 = 1/8

P(tth) = 1/2 × 1/2 × 1/2 = 1/8

So, the probability of getting 2 tails is:

P(2 tails) = P(htt) + P(tht) + P(tth) = 1/8 + 1/8 + 1/8 = 3/8

= 0.375

0.375 multiplied by 100% gives:

P(2 tails) = 37.5%

Therefore, the correct option is (b) 37.5%

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Answer:

The first, third, fifth and 6th statements are true.

Step-by-step explanation:

Answer:

Here are the ones you should select:

Step-by-step explanation:

1) The slope of AB is equal to slope of AC

Rise over run for AB =2/4=1/2

Rise over run for AC=3/6=1/2

so they are equal

2) Slope of AB is not equal to BE because of visual reasons but if you need an explanation I can provide it

3) AB is a segment on the line, so the slopes are equal as you can see in the illustration provided in the question

4/5) Slope=\(\frac{rise}{run}\), but AE/AB is not that, BE/AB is rise/run, so it's correct

6) CD/AD=rise/run, so it's correct

sorry if i got anything wrong!

Question 9.

In the construction of a frequency distribution, it is NOT a good idea to have overlaping class limits such as 10-20, 20-30, 30-40.

Let's determine if the above statement is true or false.

A frequency distribution shows a representation of the num ber of observations within a given interval either in tabular or grahical format.

In the construction of a frequency distribution, the class limits should be made very clear in order for each observation to fall into only one class.

It is not a good idea to have ovelaping class limits like 20-30, 30-40. This is because overlaping limits such as this would make it dificult to determine the class where 30 is located.

Therefore, this statement ''it is NOT a good idea to have overlaping class limits such as 10-20, 20-30, 30-40'' is TRUE.

ANSWER:

True.

Answer:

Let the number be x

Answer:

8

Step-by-step explanation:

Calculate the distance d using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = z₁(6, 2) and (x₂, y₂ ) = z₂(6, 10)

d = \(\sqrt{(6-6)^2+(10-2)^2}\)

   = \(\sqrt{0^2+8^2}\)

   = \(\sqrt{64}\) = 8

The value of k could be 48, 49, 50, 51, or 52, as these all result in the fractions being in lowest terms.

To further explain, let's look at each of the possible values of k and see how they result in the fractions being in lowest terms:

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a) 3 - 8 + 2i - (-5i) = -5 + 2i +5i = -5 + 7i

b) 4 - 20i - 2i + 10i² = 4 - 22i + 10(\(\sqrt{-1}\))² = 4 - 22i + 10(-1) = 4 - 10 -22i

= -6 -22i

c) Multiply both numerator and denominator by i

\(\frac{i(-2-4i)}{i^{2} }\) = \(\frac{-2i - 4i^{2} }{i^{2} }\) = \(\frac{-2i - 4(\sqrt{-1})^{2} }{(\sqrt{-1})^{2}}\) = \(\frac{-2i - 4(-1)}{-1}\) = \(\frac{-2i+4}{-1}\) = 2i - 4 = -4 + 2i

d) Multiply both numerator and denominator by (3+6i)

\(\frac{(3+6i)(-3+2i)}{(3+6i)(3-6i)}\) = \(\frac{-9+6i-18i+12i^{2} }{9-36i^{2} }\) = \(\frac{-9-12i+12(\sqrt{-1} )^{2} }{9-36(\sqrt{-1} )^{2} }\) = \(\frac{-9-12i+12(-1)}{9-36(-1)}\) = \(\frac{-9-12-12i}{9+36}\)

= \(\frac{-21-12i}{45}\) = \(-\frac{21}{45} - \frac{12}{45}i\)

According to Zaller's Receive-Accept-Sample (RAS) model, individuals who are most susceptible to the message of a political action committee launching a new advertisement aimed at expanding health insurance to low-income Americans through increased government funding would be those who both receive and accept the message.

The RAS model suggests that individuals have varying levels of political knowledge and are exposed to different sources of information. Those who are more likely to receive the message are individuals who are politically interested and engaged, while those who are more likely to accept the message are individuals who have limited political knowledge and are less critical of the information presented to them.

Therefore, in the context of the advertisement aiming to expand health insurance to low-income Americans, the most susceptible individuals would be those who are politically interested but have limited political knowledge. These individuals may be more likely to accept the message without critically evaluating its content.

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Answer:

1.2x10^-1 seconds

Step-by-step explanation:

Answer:

0.12 seconds

Step-by-step explanation:

just think - how long does it take you to travel for example 30 km, if you are going 60 km/h ?

you have to divide 30 by 60 and get 0.5 or 1/2. meaning it takes you (logically) 30 minutes or half an hour to do so.

it is the same principle for all these kinds of questions.

we only need to keep an eye on the dimension of what we are talking about. is it hours or seconds ? meters or kilometers ? and do in

we need here to focus on seconds and to calculate

3.6×10⁷ / 3×10⁸ = 3.6 / 3×10¹ = 1.2 / 10 = 0.12 seconds

or

\(1.2 \times {10}^{ - 1} \)

seconds

Answer:

Line (H,J) is perpendicular to a slope of \(\frac{1}{2}\).

Step-by-step explanation:

Line (A,B) has a slope of \(\frac{1}{2}\) and line (H,J) is perpendicular to (A,B)

The angle x in the diagram is 98 degrees.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, vertically opposite angles, same side interior angles etc.

Therefore, let's find the angle of x using the angle relationships as follows:

The size of the angle x can be found as follows:

82 + x = 180(same side interior angles)

Same side interior angles are supplementary.

Hence,

82 + x = 180

x = 180 - 82

x = 98 degrees

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Answer:

A ≈ 14.8 units²

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = \(\frac{1}{2}\) yz sin Y ( that is 2 sides and the angle between them )

where x is the side opposite ∠ X and z the side opposite ∠ Z

here y = XZ = 4.3 and z = XY = 7 , then

A = \(\frac{1}{2}\) × 4.3 × 7 × sin79°

   = 15.05 × sin79°

   ≈ 14.8 units² ( to 1 decimal place )

Lines l and m are parallel; line l will map onto line m with a 90° rotation; line l can map onto line m with a vertical line of reflection.

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ANSWER:

67.4%

STEP-BY-STEP EXPLANATION:

To know how much could be saved, we must calculate the amount that would have been spent in the 21 months paying the $ 21, like this:

We calculate what this value represents with the expense value, like this:

The value saved would be 1 minus the value that represents the payment of the policy for 21 months:

The savings percentage is 67.4%

Answer:

(4,-7)

Step-by-step explanation:

Answer:

(4,-7)

Step-by-step explanation:

2x-3y=29

2x+2y=-6

subtracting gives us -5y=35 so y is -7 and x-7=-3 so x is 4. therefore the ordered pair is (4,-7)