20 customers are eating dinner at a local restaurant. The restaurant accepts cash or credit as forms of payment.
Of the 20 customers, 4 have enough cash to pay for their meal, 16 have a credit card, and 3 have enough cash
and a credit card. Using this information, answer each of the following questions.
Let A be the event that a randomly selected customer has enough cash and B be the event that a randomly
selected customer has a credit card.
What is P(A), the probability that a customer has enough cash?
What is P(B), the probability that a customer has a credit card?
What is P(A and B), the probability that a customer has enough cash and a credit card?
What is P(A or B), the probability that a customer has enough cash or a credit card?

The effect of treatments on blood potassium levels in freshwater mussels was evaluated using appropriate statistical analysis (e.g., ANOVA or Kruskal-Wallis test) on the data collected from three randomly assigned groups, allowing for the determination of significant differences among treatment groups.

Conduct the statistical analysis: Perform the chosen statistical test using the collected data. The analysis will calculate a test statistic and associated p-value, which quantifies the strength of evidence against the null hypothesis.

Determine the significance level: Set a significance level (e.g., α = 0.05) to determine the threshold for statistical significance. This represents the level of evidence required to reject the null hypothesis.

Evaluate the results: Compare the obtained p-value to the significance level. If the p-value is less than the chosen significance level, there is sufficient evidence to reject the null hypothesis and conclude that the treatments have an effect on blood potassium levels in freshwater mussels. Conversely, if the p-value is greater than the significance level, there is insufficient evidence to reject the null hypothesis, and it cannot be concluded that the treatments have an effect on blood potassium levels.

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The statement about the shapes is true Shape 1 is not congruent to shape 2 because a sequence of rigid transformations will not map shape 1 onto shape 2.

We have, Two octagons plotted on a coordinate plane.

So, the base length of two shapes are equal .

2 ×  AB  =  P Q  (approx)

BC=QR

2 × CD= RS (approx)

All the vertices have been translated by the same amount if translation has occurred.

Thus, Shape 1 is not congruent to shape 2 because a sequence of rigid transformations will not map shape 1 onto shape 2.

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Tests are frequently used to initially determine and assess potential worker safety and health issues.

The following factors are essential to a good workplace safety and health program: Leadership and management commitment. Accountability. Concern for safety.

An idea or rule that directs behaviors, processes, or tools with the goal of reducing the possibility or incidence of harm to people, property, or the environment.

In order to protect people's bodily, mental, and material health as well as the community's overall wellbeing, safety is the condition in which risks and circumstances that could cause harm are under control. It is a necessity for daily existence and is required by both individuals and communities in order to realize their objectives.

Workplace safety procedures are established practices that describe how to carry out duties with the least amount of danger to people, property, and working conditions. The processes cover work-related duties that deal with safety issues, safety gear, and work-area safety precautions.

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Answer:

Answr is: -2

Step-by-step explanation:

On the coordinate grid, the value of x when f(x)=1 is A

The graph is given as:

y = f(x)

When f(x) = 1, we have:

y = 1

On the coordinate grid,

When y = 1, the value of x is 3

Also, the point A is located at (3,1)

Hence, the value of x when f(x)=1 is A

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Answer:

y = mx + b

Slope of a line

Step-by-step explanation:

m = -2

b = 7

(0,7)

Answer:

d = \(3\sqrt{2}\)

Step-by-step explanation:

The distance formula is d = \(\sqrt{(x_{2}-x_{1})^{2}+(y_{2} -y_{1} )^{2} }\)

Plug in the points.

d = \(\sqrt{(2-(-1))^{2}+(6 -3 )^{2} }\)

Solve

d = \(\sqrt{18}\)

Simplify by separating 18 into 9x2

d = \(\sqrt{9(2)}\)

Take the square root of 9 to finish simplifying

d = \(3\sqrt{2}\)

If a repeated-measures design is used n=20 participants are needed for the study

If a matched-subjects design is used n=40 participants are needed for the study

Repeated measures configuration is an exploration plan that includes numerous proportions of similar variables taken on something similar or matched subjects either under various circumstances or throughout two or additional time spans. For example, repeated measures are gathered in a longitudinal report in which change after some time is surveyed.

A matched subject design involves separate trial bunches for every specific treatment, yet depends on coordinating each subject in one gathering with an identical one in another. The thought behind this is that it decreases the possibility of a persuasive variable slanting the outcomes by invalidating them.

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Answer:

general equation of line is y=mx+b, where m is the slope and b is y-intercept and (x,y) is any point on the line.

Step-by-step explanation:

The equation of the circle centered at the origin and passing through the point (-4,0) is \(x^2+y^2=16\).

Equation of a circle

A circle may also be defined as a special kind of ellipse in which the two foci are coincident, the eccentricity is 0, and the semi-major and semi-minor axes are equal.

We know that,

Equation of the circle passing through the origin is given by:-

\(x^2+y^2=r^2\)

Where,

r is the radius of the circle, and

(x,y) are the coordinates of each point of the circle.

Hence, we can write,

The radius of the circle will be :-

\(\sqrt{(0-(-4))^2+(0-0)^2} =\sqrt{ 4^2+0^2} =\sqrt{16}=4 units\)

Hence, r = 4 units.

Hence, the equation of the circle is given by:-

\(x^2+y^2=16\)

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Answer:

D. 1/16

Step-by-step explanation:

Evaluate: 2^-4

А. =100

В. -8ОО

С. -16

D. 1/16

Given

2^-4

= 1 / 2⁴

= 1 / (2 * 2 * 2 * 2)

= 1 / 16

Therefore,

2^-4 = 1/16

D. 1/16

Answer: I think its $58.4

Answer:

False

Step-by-step explanation:

Dividing integers is opposite operation of multiplication. But the rules for division of integers are same as multiplication rules. Though, it is not always necessary that the quotient will always be an integer.

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please give brainliest

Answer:

DNA from multiple beings have been found all over the world, this is also a theory because of the ability for the continents to be formed together, they almost click together like puzzle pieces!

Step-by-step explanation:

Answer:

Another piece of evidence that could support the idea that continents were once joined together could be that mountain ranges can be found on multiple continents even though now they are very far apart. For example, the Appalachian Mountains can be connected to mountains in Europe.  This supports the idea that continents were once joined together.

Let me know if this helps!

Answer:

Step-by-step explanation:

x= 26/3

Answer:9

Step-by-step explanation:

x=-7

7^(2) + 7*-7 + 9

7*7=49

49-49=0

9

The weight distribution of newborn African lions may not necessarily follow a normal distribution, and the actual percentages can vary based on the specific data available.

To determine the percentage of newborn African lions that weigh less than 3 pounds and the percentage that weigh more than 3.8 pounds, we would need statistical data on the weight distribution of newborn African lions. Since we don't have that information, we cannot provide the exact percentages.

However, if we assume that the weights of newborn African lions follow a normal distribution, we can use the properties of the standard normal distribution to make an estimation.

For the percentage of newborn African lions weighing less than 3 pounds:

We would need to know the mean and standard deviation of the weight distribution to calculate the Z-score for a weight of 3 pounds and then find the corresponding percentage using a standard normal distribution table. Without this information, we cannot provide an accurate estimation.

For the percentage of newborn African lions weighing more than 3.8 pounds:

Similarly, we would need the mean and standard deviation of the weight distribution to calculate the Z-score for a weight of 3.8 pounds and find the corresponding percentage using a standard normal distribution table. Without the required information, we cannot provide a specific estimation.

Please note that the weight distribution of newborn African lions may not necessarily follow a normal distribution, and the actual percentages can vary based on the specific data available.

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Answer:

Multiply dno. plus nume. by 2

Step-by-step explanation:

get a base of 100

The rate of change of the area of a square with respect to the length z, the diagonal of the square is  dA/dz = 2z; rate = 6. The correct answer is C.

We know that the area A of a square is given by A = s², where s is the length of the sides of the square. Also, we know that the diagonal of the square (z) is related to the sides by the Pythagorean theorem: s² + s² = z² or 2s² = z² or s² = z²/2.

Taking the derivative of both sides of the equation s² = z²/2 with respect to z, we get:

2s ds/dz = 2z/2

s ds/dz = z

Now, since the area A is given by A = s², we can take the derivative of both sides of this equation with respect to z:

dA/dz = d/dz (s²) = 2s ds/dz

Substituting the value of s ds/dz obtained earlier, we get:

dA/dz = 2s (z/s) = 2z

Therefore, the correct option is (c) dA/dz = 2z, and the rate of change of the area of the square with respect to the length z is 2z. When z = 3, the rate of change is 2(3) = 6. So, the answer is (c) dA/dz = 2z; rate = 6.

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The statement correctly describes the relationship between △DEF and △D'E'F' is option (D) △DEF is congruent to △D′E′F′ because you can map △DEF to △D′E′F′ using a reflection across the x-axis, which is a rigid motion.

In the given figure

Consider the ΔDEF

The coordinates of the each point is

D = (0,-1)

E = (-3,-4)

F = (6, -4)

The coordinates of the △D′E′F′

D' = (0,1)

E' = (-3,4)

F' = (6,4)

Here we can see that there is a reflection across the x axis which is a rigid motion

Hence, the statement correctly describes the relationship between △DEF and △D'E'F' is option (D) △DEF is congruent to △D′E′F′ because you can map △DEF to △D′E′F′ using a reflection across the x-axis, which is a rigid motion.

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Answer:

24s+ 200 ≥ 500

Step-by-step explanation:

Let s be the number of sales

200 + 24s is the amount that they will make

They want to make at least 500 so the  amount they make must be greater than or equal to 500

200 + 24s≥ 500

Changing the order on the left side

24s+ 200 ≥ 500

Answer:

33

Step-by-step explanation:

the ratio "parts" (4&7) total to 11 so the number of students must be a multiple of 11. 33 is the only multiple of 11 that falls between 24 and 40.

HOPE THIS HELPS!!!

while the presence of only one spot on a TLC plate may suggest that the compound is pure, further analysis is needed to confirm the purity of the compound, such as melting point determination, NMR spectroscopy, or HPLC (high-performance liquid chromatography).

Using UV and seeing only one spot on a TLC (thin-layer chromatography) plate is not a definitive indicator of the purity of a product.

While it is true that a pure compound will only show one spot on a TLC plate, there are several reasons why a compound may still show only one spot even if it is not pure. For example:

The impurity may have a similar Rf (retention factor) value to the compound of interest and therefore co-migrate with it on the TLC plate, making it difficult to distinguish between the two.

The impurity may be present in such a small amount that it is not visible on the TLC plate.

The compound of interest may have multiple conformers or isomers that have the same Rf value and appear as a single spot.

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Answer:

Sure, I can help you solve the equation step by step!

7(x-1) - 2 = 180

First, we can simplify the left side by distributing the 7:

7x - 7 - 2 = 180

Simplifying further, we can combine like terms:

7x - 9 = 180

To isolate the variable, we can add 9 to both sides of the equation:

7x - 9 + 9 = 180 + 9

Simplifying:

7x = 189

Finally, we can solve for x by dividing both sides by 7:

x = 27

Therefore, the solution to the equation 7(x-1) - 2 = 180 is x = 27.

Proof:

To check our solution, we can substitute x = 27 back into the original equation and see if both sides are equal:

7(x-1) - 2 = 180

7(27-1) - 2 = 180

7(26) - 2 = 180

182 - 2 = 180

180 = 180

Since both sides are equal, we have verified that x = 27 is the correct solution.

I Hope This Helps!

The expresion is 3(5 + 6). The expression is represented

(a)The optimal order quantity is  4609 units.

(b)The time between orders is  1.98 months.

To determine the optimal order quantity and the approximate time between orders, the Economic Order Quantity (EOQ) model. The EOQ model minimizes the total cost of inventory by balancing ordering costs and carrying costs.

Optimal Order Quantity:

The formula for the EOQ is given by:

EOQ = √[(2DS) / H]

Where:

D = Annual demand

S = Cost per order

H = Holding cost per unit per year

calculate the annual demand (D) using the 2020

sales numbers provided:

D = 651 + 808 + 514 + 174 + 435 + 426 + 687 + 582 + 662 + 1551 + 1295 + 1774

= 9559 units

To calculate the cost per order (S) and the holding cost per unit per year (H).

The cost per order (S) is given as $500.

The holding cost per unit per year (H)  calculated as follows:

H = Carrying cost percentage × Unit value

= 0.30 × $3

= $0.90

substitute these values into the EOQ formula:

EOQ = √[(2 × 9559 × $500) / $0.90]

= √[19118000 / $0.90]

≈ √21242222.22

≈ 4608.71

Approximate Time Between Orders:

To calculate the approximate time between orders, we'll divide the total number of working days in a year by the number of orders per year.

Assuming 360 days in a year and a lead time of 1 week (7 days) for shipping, we have:

Working days in a year = 360 - 7 = 353 days

Approximate time between orders = Working days in a year / Number of orders per year

= 353 / (9559 / 4609)

= 0.165 years

Converting this time to months:

Approximate time between orders (months) = 0.165 × 12

= 1.98 months

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The probability will be b) 4/(52 13)

In a standard deck, there are four suits (hearts, diamonds, clubs, and spades), each containing 13 cards. To find the probability of obtaining a bridge hand with all 13 cards of the same suit, we need to determine the number of favorable outcomes (hands with all 13 cards of the same suit) and divide it by the total number of possible outcomes (all possible bridge hands).

Calculate the number of favorable outcomes

There are four suits, so for each suit, we can choose 13 cards out of 13 in that suit. Therefore, there is only one favorable outcome for each suit.

Calculate the total number of possible outcomes

To determine the total number of possible bridge hands, we need to calculate the number of ways to choose 13 cards out of 52. This can be represented as "52 choose 13" or (52 13) using the combination formula.

Calculate the probability

The probability is given by the ratio of the number of favorable outcomes to the total number of possible outcomes. Since there is one favorable outcome for each suit and a total of 4 suits, the probability is 4 divided by the total number of possible outcomes.

Therefore, the probability that a bridge hand will contain all 13 cards of the same suit is 4/(52 13).

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According to the US Geological Survey (USGS), the total copper contained in world reserves as of 2018 was estimated to be approximately 830 million metric tons.

The USGS gathers and analyzes data on global mineral reserves, including copper. In their 2018 report, they estimated that the total identified copper resources worldwide were approximately 2.2 billion metric tons. However, not all of these resources are economically recoverable. To determine the amount of copper in world reserves, the USGS considers factors such as geology, mining methods, and economic viability.

Based on their analysis, the USGS estimated that around 38% of the identified copper resources were classified as reserves in 2018. Therefore, the calculated amount of copper in world reserves was approximately 830 million metric tons (2.2 billion metric tons x 38%).

In 2018, the USGS estimated that the world's copper reserves contained approximately 830 million metric tons. It is important to note that these estimates are subject to change as new discoveries are made, mining technologies evolve, and economic factors fluctuate. The USGS plays a crucial role in providing reliable and up-to-date information on global mineral resources to aid in resource planning and decision-making.

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Answer:

(a) center = (0, 0)

(b) vertices = (0, ±3)

(c) co-vertices = (±2, 0)

(d) foci = (0, ±√5)

(e) major axis = 6 units

(f) minor axis = 4 units

(g) LR = 8/3 units

Step-by-step explanation:

\(\boxed{\begin{minipage}{6 cm}\underline{General equation of an ellipse}\\\\$\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1$\\\\where:\\\phantom{ww}$\bullet$ $(h,k)$ is the center\\\end{minipage}}\)

Given equation:

\(9x^2+4y^2=36\)

Divide both sides of the equation by 36 to rewrite the given equation in the general equation of an ellipse (so that the right side of the equation is 1):

\(\implies \dfrac{9x^2}{36}+\dfrac{4y^2}{36}=\dfrac{36}{36}\)

\(\implies \dfrac{\diagup\!\!\!\!9x^2}{4 \cdot \diagup\!\!\!\!9}+\dfrac{\diagup\!\!\!\!4y^2}{\diagup\!\!\!\!4 \cdot 9}=1\)

\(\implies \dfrac{x^2}{4}+\dfrac{y^2}{9}=1\)

Comparing the equation with the general equation, we can say that:

Therefore, the center (h, k) of the ellipse is (0, 0).

As b > a, the ellipse is vertical. Therefore:

To find the vertices, substitute the value of b into the formula for the vertices:

\(\begin{aligned} \implies (h, k \pm b)&=(0, 0\pm 3)\\&=(0, \pm3)\end{aligned}\)

Therefore, the vertices are (0, ±3).

To find the co-vertices, substitute the value of a into the formula for the co-vertices:

\(\begin{aligned} \implies (h \pm a, k)&=(0 \pm 2, 0)\\&=(\pm 2,0)\end{aligned}\)

Therefore, the co-vertices are (±2, 0).

To find the value of c, substitute the found values of a and b into c² = b² - a²:

\(\begin{aligned}\implies c^2&=b^2-a^2\\c^2&=3^2-2^2\\c^2&=9-4\\c^2&=5\\c&=\sqrt{5}\end{aligned}\)

To find the foci, substitute the value of c into the formula for the foci:

\(\begin{aligned} \implies (k, h \pm c)&=(0, 0\pm \sqrt{5})\\&=(0, \pm \sqrt{5})\end{aligned}\)

Therefore, the foci are (0, ±√5).

The major axis is 2b:

\(\implies 2b=2(3)=6\;\sf units\)

The minor axis is 2a:

\(\implies 2a=2(2)=4\;\sf units\)

The latus rectum (LR) of an ellipse is a line drawn perpendicular to the its major axis that passes through the foci.  

The formula for the endpoints of the latus rectum of a vertical ellipse is:

\(\left(h\pm\dfrac{a^2}{b}, k\pm c \right)\)

Therefore, substituting the values of h, k, a, b and c into the formula, the coordinates of the latera recta are:

\(\implies \left(0\pm\dfrac{2^2}{3}, 0\pm \sqrt{5}\right)\)

\(\implies \left(\pm\dfrac{4}{3}, \pm \sqrt{5}\right)\)

To calculate the length of the latus rectum, subtract the negative x-value from the positive x-value of the endpoints:

\(\implies \dfrac{4}{3}-\left(-\dfrac{4}{3}\right)=\dfrac{8}{3}\; \sf units\)

Therefore, the length of the latus rectum is 8/3 units.

Answer:

C

Step-by-step explanation:

\((a^{-2}*8^{7})^2 = a^{-2*2}*8^{7*2} = a^{-4}*8^{14}\)