what is the probability of getting a number card and a heart in a standard deck of cards

Answer:

this the answer

Answer:

The value is 6

Step-by-step explanation:

Since the slope is 1/2, you can plot the coordinates 5,7.

5=x axis

7=y axis

After that you can use the formula rise/run = 1/2

Then you plot 3 on the graph. Then you use formula rise over run,

then you get 6

The probability of choosing a subcommittee of 3 members with no graduate students is 0.2, or 20%.

The number of possible subcommittees that contain only undergraduate students can be calculated by choosing 3 members from the 4 undergraduate students. This can be done in (4 choose 3) = 4 ways.

The total number of possible subcommittees of three students that can be formed from the 6 members of the committee can be calculated by choosing 3 members from the 6 students. This can be done in (6 choose 3) = 20 ways.

Therefore, the probability that there will be no graduate students on the subcommittee is:

Number of subcommittees with only undergraduate students / Total number of possible subcommittees

= 4 / 20

= 1/5

= 0.2

So, the probability of choosing a subcommittee of 3 members with no graduate students is 0.2, or 20%.

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Given that:

James is 6 times older than his friend Zach, if Zach added 8 to his age and multiplied this sum by 3 .

To find:

The equation that can be used to solve for zach's age.

Solution:

Let the age of zach be Z.

Zach added 8 to his age = Z+8

And multiplied this sum by 3 = 3(Z+8)

James is 6 times older than his friend Zach = 6Z

Now,

\(6Z=3(Z+8)\)

\(6Z-3Z=24\)

\(3Z=24\)

Divide both sides by 3.

\(Z=8\)

Therefore, the required equation is \(6Z=3(Z+8)\) is age of zach is 8 years.

Answer:

linear

Step-by-step explanation:

its linear because the data shows a straight line:)

Answer:

Linear

Step-by-step explanation:

linear equation forms a straight line on the graph. A nonlinear equation forms a curve on the graph.

Answer:

Step-by-step explanation:

are the what???

After factoring and solving for x:

x = \(0, \frac{2\sqrt{3} }{3},-\frac{2\sqrt{3} }{3}, i\sqrt{6}, -i\sqrt{6}\)

Hope this helps! If not, lmk! I'll see if I can help out another way. Good luck!

To write an equivalent series with the index of summation beginning at n = 1, you'll need to shift the index of the original series. The original series is:

Σ (−1)^n * 1/(n+1) * x^n, with n starting from 0.

To shift the index to start from n = 1, let m = n - 1. Then, n = m + 1. Substitute this into the series:

Σ (−1)^(m+1) * 1/((m+1)+1) * x^(m+1), with m starting from 0.

Now, replace m with n:

Σ (−1)^(n+1) * 1/(n+2) * x^(n+1), with n starting from 0.

This is the equivalent series with the index of summation beginning at n = 1.

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Answers:

==========================================

Explanation:

The 102 inscribed angle cuts off the arc that's composed of the 140 and 'a'.

Due to the inscribed angle theorem, we know that a+140 is exactly equal to twice that of 102.

This means,

a+140 = 2*102

a+140 = 204

a = 204-140

a = 64

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

The angles 102 and c are inscribed angles opposite one another. They add to 180. This is true for any inscribed quadrilateral.

c+102 = 180

c = 180-102

c = 78

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

Another useful rule is that the four angles of any quadrilateral always add to 360.

102+92+c+d = 360

102+92+78+d = 360

272+d = 360

d = 360-272

d = 88

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

The inscribed angle d cuts off the arc a+b

This means 2d is the measure of a+b because of the inscribed angle theorem.

a+b = 2d

64+b = 2*88

64+b = 176

b = 176-64

b = 112

Therefore, the value of n that makes the system of equations true is n = 10.

Given:

p = 2n

p - 5 = 1.5n

Substituting the value of p from the first equation into the second equation, we have:

2n - 5 = 1.5n

Next, we can solve for n by subtracting 1.5n from both sides of the equation:

2n - 1.5n - 5 = 0.5n - 5

Simplifying further:

0.5n - 5 = 0

Adding 5 to both sides of the equation:

0.5n = 5

Dividing both sides by 0.5:

n = 10

Therefore, the value of n that makes the system of equations true is n = 10.

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The probability that all four songs are liked will be 0.03418 and the probability of not liking the next four songs will be 0.99658.

The probability of an event occurring is defined by probability.

Probability is also called chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.

As per the given,

Total songs = 53

Like songs = 14

Probability of selecting and liking the first song = 14/53

Now since repetition is not allowed and one like the song has been chosen out of 14 thus, the remaining songs = 13, and total songs = 43 - 1 = 52

Probability of selecting liking the second song = 13/52

Probability of selecting liking the third song = 12/51

Probability of selecting liking the fourth song = 11/50

a)

The probability of liking all songs will be 14/53 x 13/52 x 12/51 x 11/50 = 0.03418.

b)

The probability of not liking the next four songs =1 - The probability of liking all songs

The probability of not liking the next four songs = 1 - 0.03418 = 0.96582.

Hence "The probability that all four songs are liked will be 0.03418 and the probability of not liking the next four songs will be 0.99658".

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The measurement of the angle MRX is 130°.

Given that a figure we need to find the angle MRX,

The lines TP and ZX are perpendicular to each other, and there is a line MQ intersecting at R,

So,

Angles MRT and MRZ are complementary so,

m ∠MRZ + m ∠MRT = 90°

50° + m ∠MRT = 90°

m ∠MRT = 40°

Also,

Angles TRX and TRZ are supplementary so, and equal to right angle, so,

m ∠MRX = m ∠MRT + m ∠TRX

m ∠MRX = 90° + 40°

m ∠MRX = 130°

Hence the measurement of the angle MRX is 130°.

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Answer:

Send us a picture

Step-by-step explanation:

Answer:

a) c = 11.2
b) c = 2

Step-by-step explanation:
\(c^{2} = a^{2} + b^{2}\)

c = line across from the right angle

Answer:

PLEASE GIVE BRAINLIEST IT IS 118

Step-by-step explanation:

(18x+28)+(7x+27) equals 180 degrees

25x+55= 180

25x=125

x=5

THIS MEANS THAT ANGLE ABC IS

18(5)+28.

90+28.

118 degrees. And since angle abc is equal to efg that is your answer.

Answer:

efg=abc

Step-by-step explanation:

18x+29+7x+27=180

25x+56=180

25x=124

x=124/25

18(124/25)+29= 118.28 or rounded 118

I want brainliest!!!

Ms. Martinez made 5 costumes for the members of the chorus in the school musical.

To find the number of costumes Ms. Martinez made, we need to divide the total amount of fabric she bought by the amount of fabric used per costume.

Ms. Martinez bought 11 1/4 yards of fabric, which can also be written as 11.25 yards.

Each costume requires 2 1/4 yards of fabric, or 2.25 yards.

To calculate the number of costumes, we divide the total fabric purchased by the fabric used per costume:

Number of costumes = Total fabric purchased / Fabric used per costume

Number of costumes = 11.25 yards / 2.25 yards

Number of costumes = 5

Therefore, Ms. Martinez made 5 costumes for the members of the chorus in the school musical.

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Answer:I hope this helps.

Step-by-step explanation:

C. the objective can be increased or decreased to infinity or negative infinity while the solution remains feasible.An unbounded problem is one for which the objective can be increased or decreased to infinity or negative infinity while the solution remains feasible.

An unbounded problem is one for which the objective can be increased or decreased to infinity or negative infinity while the solution remains feasible. This means that there may be more than one combination of decision variables that will maximize or minimize the objective, and there may not be exactly one solution that will result in the maximum or minimum objective value.

An unbounded problem is one for which the objective can be increased or decreased to infinity or negative infinity while the solution remains feasible. This means that the problem has no finite upper or lower limit and is not subject to any specific constraints. As a result, there may be more than one combination of decision variables that will maximize or minimize the objective. In addition, there may not be exactly one solution that will result in the maximum or minimum objective value, as the solution set can be infinite. Thus, it is important to keep in mind that an unbounded problem has no specific solution and that different combinations of decision variables can result in the same objective value.

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Answer:a

Step-by-step explanation:

Answer:

x=45

Step-by-step explanation:

2(45)=90

90/2=90/2

In the given dataset, a stem and leaf plot can be constructed as follows:

Key:

6 | 0 5 5 6 9

7 | 0 1 1 1 1 2 3 8 8

8 | 1 2 4 7 7 9

9 | 3 6 7 9

The stem represents the tens digit, and the leaf represents the ones digit. For example, the number 67 is represented as 6 | 7. The stem and leaf plot allows us to visually organize and display the data, making it easier to observe patterns and distributions.

Using the frequency table with 4 classes, the data can be grouped as follows:

Class | Midpoint | Frequency | Relative Frequency | Cumulative Relative Frequency

60-69 | 65.5 | 5 | 0.161 | 0.161

70-79 | 75.5 | 10 | 0.323 | 0.484

80-89 | 85.5 | 9 | 0.290 | 0.774

90-99 | 95.5 | 6 | 0.194 | 0.968

The midpoint is the average value of each class interval. The frequency represents the number of data points within each class. The relative frequency is the proportion of the total data that falls within each class. The cumulative relative frequency shows the accumulation of the relative frequencies up to a certain class.

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Answer:

$14.80

Step-by-step explanation:

First you need to subtract .50 from 2.35, which is 1.85.

Next you need to multiply 1.85 times 8.

1.85 x 8 = 14.80

Therefore, she has made $14.80 since the new price.

The radius of the cone is 783.84/√h

A cone is the surface traced by a moving straight line (the generatrix) that always passes through a fixed point (the vertex).

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

The volume of a cone is expressed as;

V = 1/3πr²h

643072 × 3 = 3.14 × r²h

r²h = 614400

r² = 614400/h

r = 783.84/√h

therefore the radius of the cone is 783.84/√h

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The quadrilateral with vertices (0, 0), (0, 4), (8, 4) and (8,0) makes the rectangle.

A rectangle is a part of a quadrilateral, whose sides are parallel to each other and equal.

The given points are,

(0, 0), (0, 4), (8, 4) and (8,0).

To determine the section for the quadrilateral,

Find distance between points.

The distance between two points A(x₁, y₁) and B(x₂, y₂)

Distance

= √(x₂ - x₁)² + (y₂ - y₁)²

The distance between (0, 0) and (0, 4)

= √(0-0)² + (4-0)² = √(0)² + (4)² = √(4)² = 4

The distance between (0, 4) and (8, 4)

= √(8-0)² + (4-4)² = √(8)² + (0)² = √(8)² = 8

The distance between (8, 4) and (8, 0)

= √(8 - 8)² + (0 - (4))² = √(0)² + (4)² = √(4)² = 4

The distance between (8, 0) and (0, 0)

= √(0 - 8)² + (0- 0)² = √(-8)² + (0)² = √(8)² = 8

Since, the opposite sides are equal,

Therefore, the quadrilateral is rectangle.

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Answer:

{-1,7}

Step-by-step explanation:

1/2 | 5x-15| = 10

Multiply each side by 2

1/2 *2 | 5x-15| = 10*2

| 5x-15| = 20

Absolute value equations have two solutions, one positive and one negative

5x-15 = 20     5x-15 = -20

Add 15 to all sides

5x-15+15 = 20+15          5x-15 +15 = -20+15

5x= 35                                   5x=-5

Divide by 5

5x/5 = 35/5                              5x/5 = -5/5

x=7                                                   x=-1

The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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We can write equations by rewriting the important phrases of information using variables. These variables make the equation look neater and it is faster to write a letter instead of constantly repeating 'cost of student tickets', for example.

The important pieces of information lies in the second last sentence of this question.

Now, let's rewrite them into equations.

Given

x= cost of adult tickets

y= cost of student tickets

Assuming that your friend and her little sister are students, the two equations are:

To convert these equations into slope-intercept form, move all the terms that are not y to the right-hand side of the equation before dividing both sides by the coefficient of y. This is to ensure that the coefficient of y is 1 and that your equation is in y= mx +c, where m is the slope and c is the y-intercept.

From equation (1):

x +2y= 23

2y= -x +23

Divide both sides by 2:

\(\bf{y = - \frac{1}{2} x + \frac{23}{2} }\)

From equation (2):

2x +3y= 39

3y= -2x +39

Divide both sides by 3:

\(\bf{y= - \frac{2}{3} x + 13}\)

The solution to the system of equations is the point at which the two lines intercept on the graph. I have attached the graph as an image.

The solution is (9, 7).

The x coordinate is the cost of an adult ticket, while the y coordinate is the cost of a student ticket. This means that adult tickets cost $9 and student/ child tickets cost $7.

The forecast for the demand for chips sales and X is 13.2. Therefore, option 4 is the correct answer. It means that week we want to create the forecast for 13.2

If Y is the forecast for demand of chip sale and X is the week we want to create the forecast for, we can plug in the value of X to get the corresponding forecast value for Y.

Given the equation: Y = 2.8X + 2

If we want to find the forecast for week 4, we can substitute X=4 into the equation

Y = 2.8(4) + 2

Y = 11.2 + 2

Y = 13.2

Therefore, the forecast for week 4 is 13.2. The answer is option 4.

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