what is the value of x?

Given:

A card is selected randomly from a standard deck of 52 cards.

To find:

The probability of each outcome.

a. a king of heart

b. a queen of spades

c. an ace of flower

d. an ace of diamond​

Solution:

In a standard deck of 52 cards.

Total number of cards = 52

13 cards of each suit (heart, diamond, club, spade).

13 cards are Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King.

a. We need to find the probability of getting a king of heart.

Number of king of heart = 1

[tex]P(\text{a king of heart})=\dfrac{\text{Number of king of heart}}{\text{Total cards}}[/tex]

[tex]P(\text{a king of heart})=\dfrac{1}{52}[/tex]

b. We need to find the probability of getting a queen of spades.

Number of queen of spades = 1

[tex]P(\text{a queen of spades})=\dfrac{\text{Number of queen of spades}}{\text{Total cards}}[/tex]

[tex]P(\text{a queen of spades})=\dfrac{1}{52}[/tex]

c. We need to find the probability of getting an ace of flower (spades).

Number of ace of flower = 1

[tex]P(\text{an ace of flower})=\dfrac{\text{Number of ace of flower}}{\text{Total cards}}[/tex]

[tex]P(\text{an ace of flower})=\dfrac{1}{52}[/tex]

d. We need to find the probability of getting an ace of diamond​.

Number of ace of diamond​ = 1

[tex]P(\text{an ace of diamond​})=\dfrac{\text{Number of ace of diamond​}}{\text{Total cards}}[/tex]

[tex]P(\text{an ace of diamond​})=\dfrac{1}{52}[/tex]

Therefore, the required probabilities for each parts are:

(a) [tex]\dfrac{1}{52}[/tex]

(b) [tex]\dfrac{1}{52}[/tex]

(c) [tex]\dfrac{1}{52}[/tex]

(d) [tex]\dfrac{1}{52}[/tex]

The probabilities for each of the given selections are;

A) 1/52

B) 1/52

C) 1/52

D) 1/52

A) Since total number of cards in the deck is 52 and there is only one king of heart, then;

Probability of selecting a king of heart = 1/52

B) Since total number of cards in the deck is 52 and there is only one queen of spades, then;

Probability of selecting a queen of spade = 1/52

C) Since total number of cards in the deck is 52 and there is only one ace of flower, then;

Probability of selecting an ace flower = 1/52

D) Since total number of cards in the deck is 52 and there is only one ace of diamond, then;

Probability of selecting am ace of diamond = 1/52

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Answer:

64

Step-by-step explanation:

As the sequence is linear the rate of increase stays constant as we can see from the formula: [tex]S_n=mn+i[/tex] so it increases by m every term. In this all we do is subtract 13 from 28 to find the number of terms in between:

28-13=15

now we find the difference between 152 and 92

152-92=60

now we divide 60 and 15

60÷15=4

So M is 4 meaning every term has a difference of 4.

So now we can subtract 6 from 13:

13-6=7

Then multiply the difference per term (4) by 7

4×7=28

Finally we subtract 28 from 92 (13th terms value)

92-28=64

Answer:

The completed two column proof is presented as follows;

Statement  [tex]{}[/tex]                               Reason

1. AC bisects ∠A and ∠C [tex]{}[/tex]       1. Given

2. ∠ACB ≅ ∠ACD [tex]{}[/tex]                  2. Definition of bisector

3. ∠BAC ≅ ∠DAC     [tex]{}[/tex]              3. Definition of bisector

4. [tex]\overline {AC}[/tex] = [tex]\overline {AC}[/tex]     [tex]{}[/tex]                        4. Reflexive PE

5.  [tex]\overline {AC}[/tex] ≅ [tex]\overline {AC}[/tex]     [tex]{}[/tex]                      5. Segments with equal lengths are congruent

6. ΔABC ≅ ΔADC   [tex]{}[/tex]                6. By ASA

Step-by-step explanation:

The completed two column proof is presented as follows;

Statement  [tex]{}[/tex]                              

1. AC bisects ∠A and ∠C; The given data on the figure

2. ∠ACB ≅ ∠ACD;[tex]{}[/tex] A bisected angle is divided into two equal angles which are congruent to each other

3. ∠BAC ≅ ∠DAC     [tex]{}[/tex]              3. Definition of bisector

4. [tex]\overline {AC}[/tex] = [tex]\overline {AC}[/tex]     [tex]{}[/tex]                        4. Reflexive Property of Equality (PE)

5.  [tex]\overline {AC}[/tex] ≅ [tex]\overline {AC}[/tex]     [tex]{}[/tex]                      5. Segments with equal lengths are congruent

6. ΔABC ≅ ΔADC   [tex]{}[/tex]                6. By Angle-Side-Angle, ASA, is a condition for congruency of two triangles

Where two angles and the included side between the two angles on one triangle are equal to two angles and the included side between the two angles on another triangle, the two triangles are said to be congruent by the Angle-Side-Angle ASA rule and therefore, they each have equal measures for all corresponding angles sides.

Answer:

a = 5

Step-by-step explanation:

Using Pythagoras' theorem in the right triangle

a² + 12² = 13²

a² + 144 = 169 ( subtract 144 from both sides )

a² = 25 ( take the square root of both sides )

a = [tex]\sqrt{25}[/tex] = 5

Answer:

pythagoras theorem formula

h^2=p^2+b^2

here hypotenuse is 13

you can take a as either perpendicular or base

lets take it base

h^2=p^2+b^2

(13)^2=(12)^2+(a)^2

169=144+a^2

169-144=a^2

25=a^2

[tex]\sqrt{25}[/tex]=a

5=a

Step-by-step explanation:

This is because the mean is at the very center of the normal distribution. The center is at 0, with positive values on the right and negative values on the left.

Something like z = 1 means we're 1 standard deviation above the mean. As another example, z = -3 means we're 3 standard deviations below the mean.

⎆ The value of the z-score will tell how many standard deviations the person is away from the mean.

➟ If a z-score is equal to 0, then it will be on the mean. So, z-score for the mean is 0.

[tex] \\ z = \frac{(x-μ)}{σ} [/tex]

✐ Where,

Given :

A line passing through the point (1, 3) that has a slope of -2​.

To Find :

The equation of such line.

Solution :

Let, the equation of line is :

y = mx + c

Here, m is slope i.e m = -2 and c is y-intercept.

So,

y = -2x + c

It is also given that the line passes through (1, 3).

3 = -2× 1 + c

c = 5

Therefore, the equation of line is y = -2x + 5 .

Submarine must descend 17 feet in the 5th minute.

What is the average of the data?

Only numerical variables, whether continuous or discrete, can be used to calculate the mean. It is calculated by merely dividing the total number of values in a data set by the sum of all the values in the data set. A frequency table of data or raw data can both be used for the calculation.

Let the distance descended by submarine in 5th minute = x feet

Average distance descended by the submarine

= (Total distance distended/ Duration or time)

= (6 + 8 + 14 + 15 + x) / 5

= (43 + x) / 5

Statement given in the question → "Submarine must descend at an average rate of at least 12 feet per minute"

So the inequality for the statement will be,

(43 + x) / 5 ≥ 12

43 + x ≥ 60

x ≥ 17

Therefore, submarine must descend 17 feet in the 5th minute.

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Answer:

y=4x+26

Step-by-step explanation:

x intercept =( [tex]\frac{- 13}{2} \\[/tex], 0)

y intercept = (0,26)

The values of a, b, c and d are -5, -1, 3 and 5.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is y=2x+1

Substitute (-3, a) in y=2x+1, we get

a=2(-3)+1

a=-6+1

a=-5

Substitute (-1, b) in y=2x+1, we get

b=2(-1)+1

b=-1

Substitute (1, c) in y=2x+1, we get

c=2(1)+1

c=3

Substitute (2, d) in y=2x+1, we get

d=2(2)+1

d=5

Therefore, the values of a, b, c and d are -5, -1, 3 and 5.

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"Your question is incomplete, probably the complete question/missing part is:"

Use the table to work out the values a, b, c and d.

      x        y=2x+1

     -3           a

     -2           -3

      -1           b

       0            1

       1            c

       2            d

Answer:

25mL

Step-by-step explanation:

15/6=2.5ml/oz

10x2.5=25mL

Answer:

Step-by-step explanation:

In 12 hours, the train will travel 487.5 miles

8/325=40.625

40.625 x 12 = 487.5

Answer:

y=3x+3

Step-by-step explanation:

The y-intercept is at 3.

If you do rise over run, you get 3/1. Simplify to 3. Hope this helps.

Answer:

Step-by-step explanation:15.6

Answer:

I'm not sure if its A or C but C sounds like it could be the right answer

Step-by-step explanation:

Answer: Planting vegations near riverbanks

Step-by-step explanation:

because everything else is harmful to the earth .-.

Answer:

Step-by-step explanation:

If the firstborn arrived 26 years ago, his mother's age was likely between 20 and 30 years old when she gave birth.  Her current age is likely between 46 and 56 years.

Answer:

I think he's correct

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

He has to multiply the exponents not add them.

Answer:

6 is 6.82% of 88

Options e and f is the correct answers. The distance from the top of hays' head to the end of his shadow is 7.21ft

Hays' body and his shadow are perpendicular.

So if we imagine the line from the top of his head to the end of his shadow on the ground, we have a right triangle, and the imaginary line is the hypotenuse.  

Then you can stand back and let Pythagoras figure out the length of the line for you, using c²  =  a² + b²

(Distance)²=(Hay's height)²+(length of his shadow)²

(Distance)²=(6 ft)² + (4 ft)²

(Distance)²=(36 ft²) + (16 ft²)

(Distance)=52 ft²

Distance =√(52 ft)²

Distance = 7.21 ft

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The percentage of students who do not participate in a sport is C. 51.0%.

To find the percentage of students who do not participate in a sport, we can use the following formula:

(Number of students who do not participate in a sport) / (Total number of students) * 100%

From the table, we can see that the number of students who do not participate in a sport is 985, and the total number of students is 1930. So, plugging these values into the formula gives us:

= 985 / 1930 * 100%

= 51.03%

So, about 51.03% of students do not participate in a sport.

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Answer:

a

Step-by-step explanation:

Answer:

a2

Step-by-step explanation:

The commission on the sale would be $62.5

To find the commission on a sale, you can use the following formula:

Commission = Sale Amount x Commission Rate

Sale Amount: the total value of the sale

Commission Rate: the percentage or decimal value of the commission rate (e.g. 5% = 0.05)

The commission on a sale can be calculated by multiplying the total sale amount by the commission rate.

In this case, the commission on a 1,250 sale with a commission rate of 5% would be:

= 1,250 x 0.05

= 62.5

So the commission on the sale would be $62.5

It's also worth noting that commission rate is given as a decimal and not a percentage. 5% is 0.05 as decimal.

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Step-by-step explanation:

1.

A.Company T

B.Company A

C.At 20 minutes

2.

A.Tells you the rate of calling minutes

B.Its free.

C. Company K as it's free for the first five minutes.

On solving the provided question we can say that  by linear equation number of, Red Balls = 6x 18; Blue Balls = 3;  Yellow Balls = 6

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

A bag contains 27 balls

• The ratio of red to blue to yellow balls is 6:1:2

To Find : The number of red,blue and yellow balls present in the bag

Let us take the variable as 'x' to represent the number of balls in the bag

When we Put the values in a equation,

6X+X+2x = 27

9x = 27

x = 3

Hence the number of,

Red Balls = 6x 18

Blue Balls = 3

Yellow Balls = 6

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Answer:

366.16

Step-by-step explanation:

area to paint = (10 x 6 x 2) + (10 x 2 x 2) + (6 x 2 x 2) = 184 m²

184 x 1.99 = 366.16