25 PTS Help pls
If a single card is drawn from a standard 52-card deck, what is the probability it is a diamond or a face card (Jack, Queen, or King)?
A. 11/26
B. 2/7
C. 1/4
D. 2/52

Answer:

33.33333333....

Step-by-step explanation:

Answer:

33.3%

Step-by-step explanation:

The equation 3x₁ + 5x₂ = 30 intersects the x₁-axis at point D (10, 0) and the x₂-axis at point C (0, 6). Option B (0, 8) is not an intercept on the x₂-axis. Option C (6, 10) is not an intercept on the x₁-axis. The correct answer is option D (10, 0) as the x₁-axis intercept.

The equation given is 3x₁ + 5x₂ = 30. To find the axis intercept, we need to determine the points at which the line intersects the x₁ and x₂ axes. To find the x₁-axis intercept, we set x₂ = 0 and solve for x₁ 3x₁ + 5(0) = 30 3x₁ = 30
x₁ = 10

So, the x₁-axis intercept is (10, 0) which corresponds to point D in the given options. To find the x₂-axis intercept, we set x₁ = 0 and solve for x₂: 3(0) + 5x₂ = 30 5x₂ = 30 x₂ = 6 Therefore, the x₂-axis intercept is (0, 6) which corresponds to point C in the given options. To summarize, the equation 3x₁ + 5x₂ = 30 intersects the x₁-axis at point D (10, 0) and the x₂-axis at point C (0, 6).

In the given options, option A (10, 6) is not an intercept on either axis. Option B (0, 8) is not an intercept on the x₂-axis. Option C (6, 10) is not an intercept on the x₁-axis. The correct answer is option D (10, 0) as the x₁-axis intercept.

Remember, the x₁-axis intercept is found by setting x₂ = 0, and the x₂-axis intercept is found by setting x₁ = 0 in the equation.The correct answer is option D

Know more about intercept here:

https://brainly.com/question/14180189

#SPJ11

Answer: 8

Step-by-step explanation:

plug y into the first equation:

8x+5y=24

8x+5(-4x)=24

8x-20x=24

-12x=24

x=-24/12

x=-2

then plug x to the second equation

y=-4

y=-4(-2)

y=8

x=-2

y=8

Answer:

(- 6, 24 )

Step-by-step explanation:

y = - 8x - 24 → (1)

y = - 4x → (2)

Substitute y = - 4x into (1)

- 4x = - 8x - 24 ( add 8x to both sides )

4x = - 24 ( divide both sides by 4 )

x = - 6

Substitute x = - 6 into either of the 2 equations and evaluate for y

Substituting into (2)

y = - 4(- 6) = 24

solution is (- 6, 24 )

Answer:

The correct option is;

B

Step-by-step explanation:

The given system of inequalities are;

5·x - 4·y > 4...(1)

x + y < 2...(2)

Representing both inequalities as a function of "y", gives;

For, 5·x - 4·y > 4...(1), we have;

-4·y > 4 - 5·x

y < 4/(-4) - 5·x/(-4)

∴ y < 5·x/4 - 1

For x + y < 2...(2), we have;

y < 2 - x

Therefore, y is less than the values given by the equation of the straight line equalities, and the feasible region is given by the common region under both dashed lines representing both inequalities as shown in the attached diagram created using Microsoft Excel

The correct option is therefore, B.

Since the provided equation is inconsistent, it cannot intersect.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Here,

we can see that the second set of equation,

4x+2y=12

20x+10y=30

4/20=2/10≠12/30

1/5=1/5≠2/5

The given equation is inconsistent so it does not intersect.

To know more about equation,

https://brainly.com/question/2228446

#SPJ1

Answer:

x ≥ 1

Step-by-step explanation:

-30 + 8x ≥ -22

Add 30 to both sides.

8x ≥ 8

Divide both sides by 8.

x ≥ 1.

On the number line, click and hold in the middle of 0 and 2 (1) and drag all the way to the right to 12.

By setting up an inequality, the maximum number of vans that are needed to ferry 80 people are 7 vans.

To find the maximum number of vans needed to ferry 80 people using the given terms, let's set up an inequality. Let's use the variable "v" to represent the number of vans.

Since a van can ferry a maximum of 12 people, we can write the inequality as:

12v ≥ 80

Now, let's solve for "v":

Divide both sides of the inequality by 12.
v ≥ 80/12

Simplify the inequality.
v ≥ 6.67

Since we cannot have a fraction of a van, we need to round up to the nearest whole number:

v ≥ 7

Therefore, the maximum number of vans needed to ferry 80 people is 7 vans.

To learn more about inequality refer here

https://brainly.com/question/27989101#

#SPJ11

Answer:

4,084

Step-by-step explanation:

Volume of a cylinder formula \(v=\pi r^{2} h\)

h = 13ft

r = 10ft (20/2)

Then you solve

\(v=3.14*10^{2}*13\\\\v=3.14*100*13\\v=314*13\\v=4,082\)

Gabi's mistake is that she incorrectly distributed the 0.1 to only the 0.5m term and not the entire expression inside the parentheses.

0.1(0.5m + 6) = 0.05m + 0.6 (distributing the 0.1 to the entire expression inside the parentheses)

0.05m + 0.6 = 2 (substituting the value of 0.1(0.5m + 6) with 2)

0.05m = 1.4 (subtracting 0.6 from both sides)

m = 28 (dividing both sides by 0.05)

Therefore, the correct solution is m = 28, not m = 7.

Learn more about mistake

brainly.com/question/20749918

#SPJ11

You can "compare" the costs of services that charge hourly or weekly rates using equations with variables on both sides.

Equations with variables on both sides can be used to solve real-world problems, such as comparing the costs of services that charge hourly or weekly rates.

For example, if a car rental company charges a weekly rate of $200 plus $0.25 per mile and another company charges a weekly rate of $150 plus $0.30 per mile, you can use equations with variables on both sides to determine which company offers the better deal based on the number of miles driven.

Let x be the number of miles driven and y be the total cost, then we can write two equations for the two companies:

Company A: y = 0.25x + 200

Company B: y = 0.30x + 150

We can then solve for x by setting the two equations equal to each other:

0.25x + 200 = 0.30x + 150

0.05x = 50

x = 1000

So if the number of miles driven is less than 1000, Company A is the better deal; if it's more than 1000, Company B is the better deal. Equations with variables on both sides can be used in various real-world situations to compare costs, determine rates, and solve other practical problems.

For more questions like Company click the link below:

https://brainly.com/question/30532251

#SPJ11

The question asks how many call signs are possible for a station that must have a five-letter call sign, with the first letter being either an A or an F. there are 913,952 possible call signs for the station.

For the first letter, we have 2 options (A or F).

For the remaining four letters, we can use any of the 26 letters of the alphabet.

Therefore, the total number of call signs possible is calculated by multiplying the number of options for each letter:

2 (options for the first letter) * 26^4 (options for the remaining four letters)

Simplifying this equation, we get:

2 * 26^4 = 2 * 26 * 26 * 26 * 26 = 2 * 456,976 = 913,952

So, there are 913,952 possible call signs for the station.

To know more about call signs  refer here:

https://brainly.com/question/14463643#

#SPJ11

The number line that correctly represents the solutions of the inequality -1 > 4w is the one where the numbers to the right of -1 are shaded.

To solve this inequality, we need to isolate the variable w. Let's start by subtracting 1 from both sides of the inequality:

-1 > 4w - 1

Next, we can simplify the right side of the inequality by subtracting 1 from 4w:

-1 > 4w - 1
-1 > 4w - 1

Now, let's isolate the variable by dividing both sides of the inequality by 4:

-1/4 > w - 1/4

Finally, we can simplify the right side of the inequality by adding 1/4 to w:

-1/4 > w - 1/4
-1/4 + 1/4 > w

Simplifying further, we have:

0 > w

So, w is any number less than zero.

On the number line, all the numbers to the left of zero (the negative numbers) represent the solutions to the inequality -1 > 4w. Therefore, the number line with the shaded portion to the left of zero represents the correct solutions.

To know more about number line visit:

https://brainly.com/question/32029748

#SPJ11

The probability that Kwan randomly selects a sugar cookie from the bag, eats it, and then randomly selects another sugar cookie is 12 / 22C2.

The probability that Kwan randomly selects a sugar cookie from the bag, eats it, and then randomly selects another sugar cookie can be calculated by dividing the number of ways to select two sugar cookies by the total number of ways to select any two cookies.
Step-by-step explanation:
1. Determine the number of ways to select two sugar cookies: There are 4 sugar cookies in the bag, so the number of ways to select the first sugar cookie is 4. After eating the first sugar cookie, there are 3 sugar cookies left, so the number of ways to select the second sugar cookie is 3. Therefore, there are 4 * 3 = 12 ways to select two sugar cookies.
2. Determine the total number of ways to select any two cookies: There are a total of 6 + 5 + 4 + 7 = 22 cookies in the bag. So, the number of ways to select any two cookies is calculated by choosing 2 cookies out of 22, which is denoted as 22C2.
3. Calculate the probability: To find the probability, divide the number of ways to select two sugar cookies by the total number of ways to select any two cookies.
  Probability = (Number of ways to select two sugar cookies) / (Total number of ways to select any two cookies)
  Probability = 12 / 22C2
So, the probability that Kwan randomly selects a sugar cookie from the bag, eats it, and then randomly selects another sugar cookie is 12 / 22C2.

Learn more about probability :

https://brainly.com/question/11234923

#SPJ11

The expected number of minutes until the frogs stop jumping is 4, regardless of their initial positions.

Let's consider the probability that all three frogs are at different vertices at a given time. The first frog can land on any of the 12 vertices, the second frog can land on either of the two adjacent vertices to the first frog, and the third frog can land on either of the two adjacent vertices to the second frog that are not adjacent to the first frog. Therefore, the probability that all three frogs are at different vertices is:

\(P(all $ different) = 12 * 2/11 * 2/10 = 24/55\)

If all three frogs are at different vertices, then none of them can jump to the other two vertices adjacent to their current position, otherwise they will meet. Therefore, the next time they can meet is after the first jump of the frog that is alone, and this will happen with probability 1/3.

If two frogs meet, the expected number of minutes until the third frog joins them is just the expected number of minutes until two frogs meet, which is the same as the expected number of minutes until the frogs stop jumping. Therefore, it suffices to compute the expected number of minutes until the frogs jump to the same vertex for the first time, given that all three frogs are at different vertices.

Let T be the expected number of minutes until the frogs jump to the same vertex for the first time. Conditioning on the first jump, we have:

\(T = 1/3 * 1 + 2/3 * (T + 1)\)

The first term corresponds to the case where the frog that is alone jumps to one of the two vertices adjacent to one of the other frogs and they meet. The second term corresponds to the case where the frog that is alone jumps to the vertex adjacent to the other frog and the third frog jumps to the same vertex with probability 1/2, or they jump to different vertices with probability 1/2 and we are back to the starting position, but with one less frog being alone.

Solving for T, we get:

T = 4

Therefore, the expected number of minutes until the frogs stop jumping is 4, regardless of their initial positions.

Learn more about "Probability" :

https://brainly.com/question/23417919

#SPJ11

Without the historical data or the initial forecast value, it is not possible to provide a direct answer or calculate the forecast for March using exponential smoothing with a smoothing constant of 0.3.

To forecast the value for March using exponential smoothing with a smoothing constant of 0.3, we would need the historical data or the initial forecast value. Without the specific data or the initial forecast, we cannot provide a direct answer.

Exponential smoothing is a forecasting method that assigns exponentially decreasing weights to historical data, with the weights determined by the smoothing constant. The formula for exponential smoothing is as follows:

Forecast for March = Smoothing constant * (Actual value for February) + (1 - Smoothing constant) * (Previous forecast)

To use this formula, we would need the actual value for February and the previous forecast value. Additionally, the initial forecast or an initial value is necessary to begin the exponential smoothing process.

Without the historical data or the initial forecast value, it is not possible to provide a direct answer or calculate the forecast for March using exponential smoothing with a smoothing constant of 0.3. The specific data or the initial forecast value is required to apply the exponential smoothing formula and make an accurate forecast. To obtain a more precise answer, the historical data and the initial forecast value should be provided.

To know more about forecast , visit

https://brainly.com/question/24730207

#SPJ11

Answer:

parallel

Step-by-step explanation:

Parallel lines have equal slopes.

Calculate the slopes m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (2, 3)

m = \(\frac{3-2}{2+1}\) = \(\frac{1}{3}\)

Repeat with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (3, 1)

m = \(\frac{1-0}{3-0}\) = \(\frac{1}{3}\)

Since slopes are equal then parallel

Answer:

value of x=5 and y= 10

Step-by-step explanation:

compare i and ii

Answer:

x = 5, y = 10

Step-by-step explanation:

I will find y first then use the value of y to find x.

2x+4y+6 = 56

2x+4y = 56-6

2x+4y = 50

I will simplify the equation by dividing both sides by 2.

x + 2y = 25

Isolate x.

x = 25-2y

Then, I will substitute x = 25-2y into the equation 2y-4 = x+11

2y-4 = x+11

2y-4 = 25-2y+11

Simplify.

2y-4 = 36-2y

Put the like terms together.

2y+2y = 36+4

Evaluate.

4y = 40

Find y.

y = 40 ÷ 4

y = 10

Now that we have found y = 10, we can substitute that into x = 25-2y

x = 25-2y

x = 25-2(10)

Evaluate.

x = 25-20

Find x.

x = 5

Answer:

arc FA = 150°

Step-by-step explanation:

the central angle of a circle is equal to the measure of the arc that subtends it.

given BF is the diameter of the circle , then

∠ FCA + ∠ ACB = 180°

∠ FCA + 30° = 180° ( subtract 30° from both sides )

∠ FCA = 150°

then

arc FA = ∠ FCA = 150°

The polynomial will have zeroes of

3, 4 + 2i, 4 - 2i, 1 + √7 and 1 - √7

So we have

(x - 3) (x - (4 + 2i)  )  ( x  - (4 - 2i) )  ( x - (1 - √7)  ) ( x - (1 + √7) )  =

Breaking this down, we have

( x - (4 + 2i ) (x - ( 4 - 2i)  =  (x^2 -x(4 + 2i) - x (4 - 2i) +  (4 + 2i) (4 - 2i)  =

(x^2  -4x - 2ix - 4x + 2ix  +  16 + 4)  =  ( x^2 - 8x + 20)

And

( x - (1 - √7)) ( x - ( 1 + √7)  =  

x^2 - x(1 - √7) - x ( 1 + √7) +  (1 - √7) (1 + √7) =

x^2  - x + √7x - x - √7x + 1 - 7  =  

(x^2  - 2x  - 6)

So we have

(x - 3) ( x^2 - 8x + 20)  (x^2 - 2x - 6)  =  

This expands to :

x^5 - 13 x^4 + 60 x^3 - 82 x^2 - 144 x + 360

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

I hope this helps! :)

There must be some reason why Hot Dog sausages are sold in packets of 10 and the bread rolls in packets of 12: I bought just enough packets of each to have the same number of each therefore the number of items which were on the receipt is eleven (11).

This is referred to as an operation that represents the basic idea of repeated addition of the same number and will be used to get the same number of each in this scenario.

Since Hot Dog sausages are sold in packets of 10 and the bread rolls in packets of 12, to get the same number of each will be to look for values which when multiplied will give the same number which are 6 and 5 respectively to give equal number of 60 each. therefore the number of items on the receipt will be 6+5 = 11.

Read more about Multiplication here https://brainly.com/question/10873737

#SPJ1

Answer:

Step-by-step explanation:

(-2 , 6)

Slope = m = -1

y =mx + b

y = -x +b

Plugin x = -2 and y = 6

6 = -(-2) + b

6 = 2 + b

6-2 = b

b = 4

y = -x + 4

x + y = 4

Answer:

= 2 R 3

= 2 3/12

= 2 1/4

Step-by-step explanation:

  0 2

1 2 2 7

 − 0  

   2 7

 − 2 4

     3

Answer:

A≈376.99yd²

d= 10yd

h = 7yd

hope it helps

Answer:

C

Step-by-step explanation:

1.75n = 7 ( to isolate n divide both sides by 1.75 )

n = \(\frac{7}{1.75}\) = 4

Answer:

c.)  Divide by 1.75

Step-by-step explanation:

Given equation:

⇒ 1.75n = 7

Here the coefficient of n which is 1.75 needs to be removed. There is only one way of doing that - by dividing both sides by 1.75.

When done so:

⇒ 1.75n/1.75 = 7/1.75

⇒ n = 4

The approximate length of the midsegment parallel to xy is 6.63

The midsegment of a triangle is a line segment that connects the midpoints of two sides of the triangle and has the same length as each of the two sides.

To find the midpoint of a line segment, we average the x-coordinates and the y-coordinates of its endpoints.

Since the question stated that the midsegment is parallel to xy, we need to find midpoint of xw and yw.

First, let's find the midpoint of side xw:

Midpoint of xw : ((-14+10)/2, (20+4)/2) = (-2, 12)

Midpoint of yw : ((-14-2)/2, (20-4)/2) = (-8, 8 )

The length of a line segment between two points (x1, y1) and (x2, y2) in a two-dimensional coordinate system can be calculated using the distance formula:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Length line of midpoint xw and midpoint yw :

√((-2-(-8))^2 + (12-(8))^2) = √(6^2 + 4^2) = √(36 + 8) = √44

So, the length of the midsegment is parallel to XY, which is approximately equal to √44 = 6.63

Learn more about midsegment of triangle here

https://brainly.com/question/21103382

#SPJ4

-34-55

Since both numbers are negative, we simply have to add the numbers and the result will be negative.

-89

Answer:

63 points

Step-by-step explanation:

So you are trying to find out how many points you scored on the test when you got 90%,

we could do that by:

--------

70 (The totals points of the test) × 0.9 (The percentage converted into a decimal) = 63

--------

Let's double check,

so you got 63 out of 70, so when we divide 63 by 70, you would get 0.9.

0.9 converted into a percentage is 90%

Have a good day :)

The length of DE is equal to length CE since their corresponding angles are equal.

To prove that line DE is equal to line CE, we will take the following steps as shown below.

In the given figure;

line AD = line BC

angle ADC = angle BCD

let the line DB divide angle ADC equally and let line AC divide angle BCD equally.

then our new triangle becomes EDC

so angle EDC = angle ECD, since the angles are divided equally.

If the two angles (m∠EDC = m∠ECD), then their lengths must be equal since the triangle forms an isosceles triangle.

So length DE = length CE, proved.

Learn more about proves here: https://brainly.com/question/29969150

#SPJ1