Distance To find the distance between the swing and the sandbox in his backyard, Darren made a graph and found the coordinates of the swing to be (7, 2) and the coordinates of the sandbox to be (-3,8). Find the distance between the swing and the sandbox to the nearest tenth of a unit. ​

Answer:

Step-by-step explanation:

4 + 5(-2)^2

4 + 5(4)

4 + 20 = 24

Answer: 24

Step-by-step explanation:

4 + 5(-2)^2

4 + 5(4)

4 + 20 = 24

False, one of the most pieces of information with a var is whether each estimated coefficient for the lags is statistically significant (t-tests)

A statistical test called a t-test is employed to compare the means of two groups. It is frequently employed in hypothesis testing to establish whether a procedure or treatment truly affects the population of interest or whether two groups differ from one another.

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Answer:

If you multiply four negative numbers, what is the sign of the product? positive

If you multiply five negative numbers, what is the sign of the product? negative

Based on the answers to these questions and the product rules, write a general rule for the sign of the product based on the number of negative numbers in the expression.

even numbers of negative= positive

odd number equals= negative

Step-by-step explanation:

hope this helps

Answer:

if you multiply 4 negative numbers, sign of product is positive

if you multiple 5 negative numbers, sign of product is negative

Step-by-step explanation:

a negative times a negative is positive. to figure out the sign of a product, we can use -1 as an easy example.

\(-1*-1*-1*-1=1\\-1*-1*-1*-1*-1=-1\)

Answer:

Step-by-step explanation:

4x - 9y = -9 x x - 3y = (5  + 9) - 6 - 9) + 9 - 5

Explain?

Explain.

Explain!

Explain...

The black beard cost $20.

We know that all black beards cost the same money

And all red beards cost $25

And B represents the number of black beards

And R represents the number of red beards

We have been given the inequality 20B+25R > 350 to show the target for this month.

The above inequality shows that Merlin needs to make more than 350, hence he made 350 last month

Further, it shows that B has been multiplied by 20, hence the black beard's cost was 20

Wealth disparity in major cities There are wide sorts of economic inequality, maximum appreciable income inequality measured the usage of the distribution of earnings, and wealth inequality measured the usage of the distribution of wealth

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Answer:

1

Step-by-step explanation:

rise/run = 1/1 = 1

Answer:

3.6

Step-by-step explanation:

Using similar triangles we get the ratio of 3/2 = x/6-. We cross multiply and get 3x=18-3x. We simplify and get 5x=18. Now to solve for x, divide both sides by 5 and we get 18/5 which is 3.6

The independent variable of a boxplot is categorical. This means that variable used to create boxplot consists of distinct categories rather than continuous numerical values. The boxplot allows to visualize and compare the distribution of a quantitative variable across different categories .

In statistical analysis, the independent variable is the variable that is manipulated or controlled in order to observe its effect on the dependent variable. In the case of a boxplot, the independent variable is typically a categorical variable. This means that it consists of distinct categories or groups that are not inherently ordered or continuous.

For example, in a study comparing the heights of individuals from different countries, the independent variable would be the country itself, which is a categorical variable. The heights of individuals would be the dependent variable, and the boxplot would show the distribution of heights for each country.

By using a boxplot, we can easily compare the distribution of a quantitative variable across different categories or groups and identify any differences or patterns that may exist. It provides a visual summary of the minimum, first quartile, median, third quartile, and maximum values within each category, allowing for easy comparisons and identification of outliers.

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Answer:

900 feet per hour

Step-by-step explanation:

225×4 = 900

15×4=60

the tortoise's rate of speed is 900 feet per hour

hope that helps.

Answer:

c

Step-by-step explanation:

Answer: -75

Step-by-step explanation:

a. The efficiency of Expedition Everest is approximately 87.8%.

b. The utilization of Expedition Everest is approximately 94.7%.

c.  The demand is greater than the effective capacity, the operation is considered overcapacity. This means that the ride cannot accommodate all the riders who wish to ride, resulting in long waiting times for guests.

To calculate the efficiency and utilization of Expedition Everest, we need to compare the actual number of riders with the design capacity and effective capacity.

Given:

Demand = 3,000 riders/hour

Average riders = 1,800 riders/hour

Design capacity = 2,050 riders/hour

Effective capacity = 1,900 riders/hour

a. Efficiency:

Efficiency is calculated as the average riders divided by the design capacity, multiplied by 100%.

Efficiency = (Average riders / Design capacity) * 100%

= (1,800 / 2,050) * 100%

≈ 87.8%

Therefore, the efficiency of Expedition Everest is approximately 87.8%.

b. Utilization:

Utilization is calculated as the average riders divided by the effective capacity, multiplied by 100%.

Utilization = (Average riders / Effective capacity) * 100%

= (1,800 / 1,900) * 100%

≈ 94.7%

Therefore, the utilization of Expedition Everest is approximately 94.7%.

c. Capacity Analysis:

To determine if the operation is overcapacity or undercapacity, we compare the demand with the effective capacity.

Demand > Effective capacity

3,000 > 1,900

Since the demand is greater than the effective capacity, the operation is considered overcapacity. This means that the ride cannot accommodate all the riders who wish to ride, resulting in long waiting times for guests.

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100.8

6/2.5=2.4

2.4×42=100.8

Answer:

18 cents per ounce

Step-by-step explanation:

The first step is to identify the unit. In this case, you are told you have 16-ounces. Therefore, your unit is an ounce.

To find the price of one ounce, just divide your price of $2.88 by 16.

Unit rate = $2.88 / 16 = 0.18 or 18 cents per ounce.

Step-by-step explanation:

Probabibility = 1/6 * 1/6 = 1/36 = 2.77%.

Probability that 50 cars will have no defect is and the 51st is 12  . Probability that 20th car will have defect is 4.56. Probability that exactly one car has a defect is 0.2592.

It is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

Given Data

(a) Probability that a car has a defect = 40% = 0.4.

Probability that a car with no defect = 1 - 0.4 = 0.6

Probability that 50 cars does not have defect = (0.6)50

Probability that 50 cars will have no defect and the 51st will = (0.6)50(0.4)

Probability that 50 cars will have no defect and the 51st will= 12

(b) This question can be understood in two ways. If the question is simply asking for the probability that the 20th car has a defect it is 40% or 0.4. If the question means 19 cars do not have a defect and the 20th has one, the answer is below -

Probability that 19 cars do not have defect = (0.6)19

Probability that 20th car will have defect = (0.6)19( 0.4)

Probability that 20th car will have defect   = 4.56                                                            

(c) The one car with defect can be chosen in 5 ways.

Probability that the car has a defect = 0.4

Probability that the remaining 4 cars do not have defect = (0.6)4

Probability that exactly one car has a defect = 5( 0.4) (0.6)4 = 0.2592.

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The repeated measures studies require fewer subjects than matched subjects studies with the same number of outcomes is that repeated measures designs reduce intersubject variability.

In repeated measures studies, each participant is measured multiple times under different conditions or treatments.

Whereas, In a matched-subjects study, each participant in the treatment group is compared to participants in the control group.

Intersubject variability can be large, and differences between treatment and control groups may be attributed to differences in these individual characteristics.

However, in a repeated-measures design, each participant served as its own control, reducing inter-subject variability.

This makes it easier to recognize differences in treatment conditions and can increase effect sizes.

Therefore, a repeated measures study may require fewer subjects to achieve the same statistical power as a matched subjects study with the same number of outcomes.

However, it is important to note that repeated measures designs may have their own limitations:  Potential Order Effect or Practice Effect.

These limitations should be carefully considered when designing a study, and an appropriate design should be chosen based on the research question and the nature of the data.

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The three cube roots of $-216i$ in rectangular form are:

$$3\sqrt{3} - 3i,\quad 3i\sqrt{3} + 3,\quad -3\sqrt{3} - 3i$$

The cube roots of $-216i$ can be found as follows:

First, we need to find the magnitude and argument of $-216i$. The magnitude is $|{-216i}| = 216$, and the argument is $\arg(-216i) = -\frac{\pi}{2}$.

Next, we can use the formula for finding the cube roots of a complex number in polar form:

$$z^{1/3} = \sqrt[3]{|z|},e^{i\theta/3}$$

Plugging in the values for $-216i$, we get:

$$\sqrt[3]{216},e^{-i\pi/6} = 6,e^{-i\pi/6} = 3\sqrt{3} - 3i$$

To find the other two cube roots, we need to add multiples of $2\pi/3$ to the argument. Adding $2\pi/3$ gives:

$$\sqrt[3]{216},e^{i\pi/2} e^{i\pi/6} = 6,e^{i\pi/2} e^{i\pi/6} = 3i\sqrt{3} + 3$$

Adding another $2\pi/3$ gives:

$$\sqrt[3]{216},e^{5i\pi/6} = 6,e^{5i\pi/6} = -3\sqrt{3} - 3i$$

Therefore, the three cube roots of $-216i$ in rectangular form are:

$$3\sqrt{3} - 3i,\quad 3i\sqrt{3} + 3,\quad -3\sqrt{3} - 3i$$

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Answer: 1181

Step-by-step explanation:

Answer:

Step-by-step explanation:

7 blue socks and 6, 5, 8 of non-blue socks. If you add the numbers of non-blue socks you get 19. Blue socks to non-blue would be 7:19

Answer:

The ratio is 7 to 19 or 7:19

Step-by-step explanation:

Since there are 7 blue socks and other colors are not blue we add the number of other colors. So basically 8+5+6= 19 and then 7 blue socks :)

Answer:

The lines are parallel, and therefore, never intersect.

Angle 213.7°  the bearing of D from towns  A, B, C and D .

What is an angle in math?

The bearing of B from D is angle ADB, which is

∠ADB = arctan(30/45) ≈ 33.7°

The bearing of D from B is that angle plus 180°, so is

180° +33.7° = 213.7°

We use angle ADB because the reference direction for bearings is North.

The tangent of an angle (ADB) is the ratio of its opposite side (AB) to its adjacent side (AD).

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0 because there is no 7 on a fair 6-sided die

Answer:

The probability of rolling a "7" on a fair 6-sided die is 0/6 or 0% because there is no value of 7 to be rolled on such a die. The probability of flipping a tails on a  fair coin is 1/2 or 50% because there are only two sides to a coin and tails is one of those sides.

In the parallelogram PQRS, x = 2 and  y=7

Parallelogram:

A parallelogram is a quadrilateral with two pairs of parallel sides. A parallelogram has opposite sides of equal length and opposite angles of equal length. Also, the interior angles on the same side of the horizontal line are supplementary angles. The sum of all interior angles is 360 degrees. A three-dimensional shape whose faces are parallelograms is called a parallelepiped. The area of ​​a parallelogram depends on its base (one of its parallel sides) and its height (height drawn from top to bottom). The perimeter of a parallelogram depends on the length of its four sides.

Given that

PT=​y, TR=3x+​1, QT=3​y, TS=5x+11

The diagonals of a parallelogram bisect each other

PT = TR    and  QT = TS

y = 3x+1     and 3y = 5x+11

Now,

We have a system of equations

Multiply the first equation by 3

3y = 9x+3  and 3y = 5x+11

Set them equal

   9x + 3 = 5x + 11

⇒ 9x - 5x = 11 -3

⇒ 4x = 8

⇒ x =2

Now,

Putting the value of x =2 in equation :

y = 3x+1

  =3(2)+1

  =7

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Answer:

6 miles

Step-by-step explanation:

1 1/2 miles x 4 days= 6 miles over 4 days

Answer:

y = 2x - 16

Step-by-step explanation:

perpendicular lines = have negative-reciprocal slope

slope: -1/2 => negative-reciprocal => 2                                               ↓ slope

substitute (4, -8) and the slope 2 into the slope-intercept form(y = mx + b) to find b:

=> -8 = 2(4) + b => b = -16

plug in the slope 2 and b = -16 to the slope-intercept form:

y = 2x - 16