You have a stack of cards. You have 15 yellow, 6 green, 2 red, and 2 orange cards. Once you select one card…. You put the card back in the deck (this makes it an independent event). Answer the following questions:

The probability of selecting 2 yellow cards
Answer:

You select a green card and then a red card

Answer:

You select a green card OR an orange card

Answer:

You don’t select a yellow card

Answer:

You do not select an orange card

Answer:

You select a green card and a red card

Answer;

Answer:

1. 40

2. 35.71

Step-by-step explanation:

using

pythagoras theorem

The sample size is too small, the sample is not representative of the population and the wording of survey question influences the response self-selected sample are potential limitations for a research study.

The sample size being too small can limit the accuracy and precision of the results and reduce the power of statistical tests.

A sample not being representative of the population can result in sampling bias, which can affect the validity of the results.

The wording of a survey question can influence the response, which can result in biased results. A self-selected sample, where participants voluntarily participate in a study, can also result in biased results because only those who are interested or motivated to participate will do so.

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Part A: The sketch of a slope field for the given differential equation for the domain [–2, 2] and range [–2, 2] is illustrated below.

Part B: The points in the xy-plane for which the slopes are negative.

Part C: An equation for the line tangent to the graph of f at (1, –1) and use it to approximate f(1.2) is -0.8.

Part D: The particular solution to the differential equation with the initial condition f(1) = –1 is given by (1/2)y² = (-1/2)x² + 0.5.

Part A: To sketch a slope field for the given differential equation, we need to plot the slopes at various points in the xy-plane. We can do this by selecting a set of x and y values within the domain and range given, calculating the corresponding slope using the equation dy/dx = -x/y, and then drawing a short line segment with that slope at that point.

Part B: In this part, we are asked to describe all points in the xy-plane for which the slopes are negative. From the given differential equation dy/dx = -x/y, we can see that the slope will be negative whenever x and y have opposite signs.

This is because the negative sign in front of x/y will flip the sign of the slope whenever x and y have opposite signs. Therefore, all points in the plane where x and y have opposite signs will have negative slopes.

Part C:

We are told that y = f(x) is the particular solution to the differential equation with the initial condition f(1) = –1.

To find the line tangent to the graph of f at (1, –1), we can use the derivative of f at that point, which is given by f'(1) = -1/f(1) = 1.

To approximate f(1.2), we can use this tangent line to estimate the value of f(1.2) as follows: f(1.2) ≈ 1.2 - 2 = -0.8.

Part D: Finally, we are asked to find the particular solution to the given differential equation with the initial condition f(1) = –1.

To do this, we can separate the variables by multiplying both sides of the differential equation by y and dx to obtain ydy = -xdx.

We can then integrate both sides with respect to their respective variables to get (1/2)y² = (-1/2)x² + C, where C is the constant of integration. To find the value of C, we can use the initial condition f(1) = –1. Substituting x = 1 and y = -1 into the equation yields (1/2)(-1)² = (-1/2)(1)² + C, which simplifies to C = 0.5.

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We will investigate how to use the difference of two squares theorem to determine a solution to the equation.

The equation at hand is as follows:

We will move all the terms on the left hand side of the " = " sign as follows:

The difference of two squares theorem states that:

We see from the above form that we have the following:

Using the difference of two squares formulation we can re-write as a multiple of two factors:

Then the factorized equation becomes:

The solution of the equation becomes:

We can condense our solution in the form:

Answer:

\( - \frac{23}{10} \)

Step-by-step explanation:

\( \frac{2}{5} \div \frac{ - 1}{2} - \frac{3}{2} \)

➡️ \( - \frac{2}{5} \times 2 - \frac{3}{2} \)

➡️ \( - \frac{4}{5} - \frac{3}{2} \)

➡️ \( - \frac{23}{10} \)

Answer:

25

Step-by-step explanation:

9+16=25 hope this helped <3

Considering the relationship between velocity, distance and time, it is found that the total distance traveled was of 380 miles.

Velocity is distance divided by time, that is:

v = d/t.

For the first day, we have that:

v = 40, t = t + 2, d = d + 20, hence:

40 = (d + 20)/(t + 2)

For the second day, we have that:

v = 60

60 = d/t

d = 60t

Then, replacing in the first equation:

40 = (60t + 20)(t + 2)

60t + 20 = 40t + 80

20t = 60

t = 3.

Then the distances are given by:

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Answer:

Step-by-step explanation:

k/9=10/3 multiply both sides by 9

k=90/3

k=30

Answer:

Hello

\( \frac{10}{3} = \frac{k}{9} \\ 10 \times 9 = 3k \\3 k = 90 \\ k = 90 \div 3 \\ k = 30\)

hope it helps

Have a nice day

According to the given table, the y-values are triple than x-values except by the last pair (5,25), this means the table does not represents a proportional relationship because the last pair doesn't follow.

Hence, the answer is False.

Answer:

Solution

=−5 that is the answer im positive

Step-by-step explanation:

4-2x+14=3x+15

-2x-3x=18+15

-5x=33

x=33/-5

Therefore, the correct answer is (b) H(0) and H(a), where H(0) represents the null hypothesis and H(a) represents the alternative hypothesis.

Based on the given information, D represents the null hypothesis (H₀) and E represents the alternative hypothesis (Hₐ).

The null hypothesis (H₀) is a statement that there is no significant difference between the observed data and the expected results. In this case, the null hypothesis is that the population mean (μ) is greater than or equal to 1000.

The alternative hypothesis (Hₐ) is a statement that there is a significant difference between the observed data and the expected results. In this case, the alternative hypothesis is that the population mean (μ) is less than 1000.

Correct answer is (b) H(0) and H(a), where H(0) represents the null hypothesis and H(a) represents the alternative hypothesis.

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The total amount of millimeters obtained by Mrs. Taylor was

946 ml

  Fractions are also called fractional numbers are defined as an expressed numerical value denoting a division and is expressed in the form:

x/y

Where:

If the bottles have 12% peridex and we want to know the amount between the two, then we should know that it is a pint.

A pint is a unit of measurement for liquids

Since two bottles were found, we must multiply the value by two.

2 x 473 = 946 ml

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Answer:

E is a variable.

Step-by-step explanation:

E and all letters can be used as a variable(Placeholder for an unknown number) Therefore, e can be equal to anything.

Step-by-step explanation:

101° = (6x + 5)° (by F angles)

Therefore 6x = 96 and x = 16.

Answer:

X=16

Step by Step explanation:

We want to know what x is

We would have to make an equation

REMEMBER: *Any 4 angles has to equal to 360 degrees*

Its pretty easy to remember

Triangles: All interior angles must add up to 180

4 angles shapes: All interior angles must add up to 360

If any shape has more than 4 angles, calculate how many angles there are and multiply them by 90

Okay so this “shape” has only 1 angle given And that would be 101

So we know right away that the angle vertical to it (angle 8) is also 101

Now we know two sides and since the other two unknown sides are vertical so they have to be equal, we really only have to focus on the 101 angle.

So we know that 2 ngles are 101

Thats all we need to know

make them equal

6x+5=101

Now sole and you would get 16

Answer:

  305 miles

Step-by-step explanation:

You want to know how far Dylan travelled if he drove 50 mph for 3.5 hours and 65 mph for 2 hours.

Distance is the product of speed and time. The total distance Dylan travelled will be the sum of lengths of the legs of his trip.

  distance = speed · time

  total distance = speed1 · time1 + speed2 · time2

  = (50 mi/h)(3.5 h) +(65 mi/h)(2 h) = 305 mi

Dylan travelled a total of 305 miles.

Answer:

Series calculator is a free online tool that gives the summation value of the given function for the given limits.

please make my answer as brainelist

Answer:

La expresión algebraica que representa la compra de los auriculares es \(c = 105.6\cdot n\), existe una proporcionalidad directa.

Step-by-step explanation:

Existe un proporcionalidad directa, pues el coste total de importación aumenta conforme aumenta la cantidad de auriculares a importar. Esto es:

\(c \propto n\)

\(c = k\cdot n\)

Donde:

\(n\) - Cantidad de auriculares a importar, adimensional.

\(c\) - Coste total de importación, medido en pesos.

\(k\) - Constante de proporcionalidad, medido en pesos.

La constante de proporcionalidad es igual al coste unitario del auricular más el impuesto de arancel, es decir:

\(k = 1.10\cdot (\$\,96)\)

\(k = \$\,105.6\)

Entonces, la expresión algebraica que representa la compra de los auriculares es:

\(c = 105.6\cdot n\)

Answer: 2.08%

Step-by-step explanation:

(i) The amount repayable in 91 days can be calculated using the formula:

Simple Interest = (Principal * Rate * Time) / 100

Here, Principal = £10,000, Rate = 8% per annum, Time = 91/365 years

Simple Interest = (10,000 * 8 * 91/365) / 100 = £182

The amount repayable in 91 days = Principal + Simple Interest = £10,000 + £182 = £10,182

(ii) The effective rate of discount per annum can be calculated using the formula:

Effective Rate of Discount = (Simple Interest / Principal) * (365 / Time)

Here, Simple Interest = £182, Principal = £10,000, Time = 91 days

Effective Rate of Discount = (182 / 10,000) * (365 / 91) = 2.936 %

(iii) The equivalent nominal rate of interest per annum convertible quarterly can be calculated using the formula:

Effective Rate of Interest = (1 + (Nominal Rate / m))^m - 1

Here, m = 4 (quarterly)

Effective Rate of Interest = (1 + (Nominal Rate / 4))^4 - 1 = 0.0835 or 8.35%

Solving for Nominal Rate:

Nominal Rate = (Effective Rate of Interest + 1)^(1/m) - 1

Nominal Rate = (0.0835 + 1)^(1/4) - 1 = 0.0208 or 2.08%

Therefore, the equivalent nominal rate of interest per annum convertible quarterly is 2.08%.

The probability that at most 13 of the residers in the sample entered a jury process in the once 12 months is 0.000158.

A normal distribution, also known as a Gaussian distribution or bell wind, is a probability distribution that's symmetric and bell- shaped. It's characterized by its mean( μ) and standard divagation( σ).

Given

Sample size( n) = 500

Probability of an individual entering a jury process( p) = 15 = 0.15

We want to calculate the probability that at most 13 of the residers in the sample entered a jury process.

Let X be the arbitrary variable representing the number of residers who entered a jury process in the sample.

Using the binomial accretive distribution function( CDF), we can calculate the probability as follows

P( X ≤ 13 of n) = Σ( k = 0 to k = 0.13 n)( n C k)

Here, n = 500

p = 0.15

k = int(0.13 n)

So, binom.cdf( int(0.13 500), 500,0.15) ≈0.000158

Thus, The likelihood that 13% of the sample's residents received a jury summons in the previous year is 0.000158.

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The question attached here is seems to be incomplete, the complete question is

What proportion of US Residents receive a jury summons each year? A polling organization plans to survey a random sample of 500 US Residents to find out. Let be the proportion of residents in the sample who received a jury summons in the previous 12 months. According to the National Center for State Courts, 15 \% of US residents receive a jury summons each year. Suppose that this claim is true.

5. Calculate the probability that at most 13% of the residents in the sample received a jury summons in the past 12 months.

Answer:

linawan mo

Step-by-step explanation:

di ko makita sorry

Answer:

its 90

Step-by-step explanation:

beacuse it is

Answer:

Step-by-step explanation:

Area of sphere is:

\(4\pi r^2\)

So, we would have:

\(4\pi12^2=4\pi144=452.16\cdot4=\boxed{1808.64}\)

Hope this helps.

Answer:

$14.18

Step-by-step explanation:

just multiply 12 with 100 for percentage and divide it by 85 because there was 15 percent off and you'll get the answer

Answer:

12

Step-by-step explanation:

4x3=12

The actual distance between the two shops is 225 meters.

The map scale of 1 cm: 50 m means that every 1 centimeter on the map represents 50 meters in real life. Using this information, we can calculate the actual distance between the two shops given that the distance on the map is 4.5 centimeters.

To do this, we can use the following formula:

Actual distance = Map distance x Scale

Plugging in the values we have:

Actual distance = 4.5 cm x 50 m/cm

Actual distance = 225 m

It is important to use map scales correctly to accurately represent distances on a map. This can be helpful in many situations, such as planning routes for travel, determining the distance between locations, and estimating travel time. It is also important to note that maps are only representations of reality and may not always be perfectly accurate.

Correct Question :

A map has a scale of 1 cm: 50 m. The distance between 2 shops is 4.5 cm. Work out the actual distance between the shops?​

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Answer:

$6.75 Per pound

Step-by-step explanation:

2.25 = 1/3

2.25 + 2.25 = 2/3

2.25 + 2.25 + 2.25 = 6.75 / 3/3

Answer:

You square the radius for the cone and you multiply the radius to the power of 3 for the cone.

You don't multiply the height for the sphere.

You divide both of the formulas by three.

They both use pi in the formula.

Step-by-step explanation:

Answer:

Rhoda

Step-by-step explanation:

sub same values of x into both expressions. The expressions are equivalent if the values of the expressions are equal

Answer:

rhoda

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

42.75+4=6

The given statement  the domain of the exponential function f(x)=a^x, a>0, a≠1, is the set of all real numbers is true.

The domain of the exponential function f(x) = a^x.

where a is a positive real number .

And a is not equal to 1 is the set of all real numbers.

This means that the function is defined for every real number x.

The exponential function grows or decays rapidly as x moves away from 0, and its graph never touches the x-axis.

Therefore, the exponential function f(x) =a^x for a>0, a≠1 having domain set of all real numbers is true.

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The above question is incomplete, the complete question is:

The domain of the exponential function f(x)=a^x, a>0, a≠1, is the set of all real numbers. true or false

Answer:

Step-by-step explanation:

let one side be x

and other side be 3x - 4

so perimeter = x + ( 3x - 4 ) + x + ( 3x - 4 )

80cm = 8x - 8

88cm = 8x

11cm = x

x = 11cm

3x - 4 = 3×11 -4

= 29cm

so sides are 11cm and 29cm