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The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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183  tickets must be sold to break even. The price at which a good or service must be provided in order to recoup its expenses of production.

The band costs $650,

decorations cost $45

refreshments cost $2.20 per person

let x be the  no of ticket

Total cost = 650+ 45+ 2.20x

break even

tickets cost = $6

6x =   650+ 45+ 2.20x

6 x - 2.20x = 695

3.8 x  = 695

x = 182.89

183  tickets must be sold to break even.

tickets must be sold to clear $700

700/6 =116.6

700/ 7.5 = 93.33

117 tickets must be sold to clear $700

94 tickets must be sold to clear $700,  If admission tickets are $7.50 each.

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Explanation

to solve this we need to expand the expressions and then compare

Step 1

Answer:

Step-by-step explanation:

The missing values from ratio table are 17 and 28.

We have table as

3      1

48    16

51      x

78    26

84     y

So, the ratio are in proportion then

48 / 16 = 51 /x

3 = 51/x

x= 51/3

x = 17

and, 3/1 = 84/y

y= 84/3

y= 28

Thus, the values are 17 and 28.

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Answer:

Slope intercept form with m= -7

Step-by-step explanation:

Slope intercept form is y=mx+b

where m=slope and b=y-intercept

so

y=-7x+2

Slope (m)= -7

y-intercept = 2

Answer:

\(z=\frac{0.923-0.631}{\sqrt{0.759(1-0.759)(\frac{1}{840}+\frac{1}{1077})}}=14.83\)    

The p value for this case would be:

\(p_v =2*P(Z>14.83)\approx 0\)    

For this case the p value is very low so we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of employment levels for men compared to woman were different

Step-by-step explanation:

Information given

\(X_{1}=775\) represent the number of people fully employed men

\(X_{2}=680\) represent the number of people fully employed women

\(n_{1}=840\) sample 1 selected  

\(n_{2}=1077\) sample 2 selected  

\(p_{1}=\frac{775}{840}=0.923\) represent the proportion estimated for male employed

\(p_{2}=\frac{680}{1077}=0.631\) represent the proportion estimated for women employed

\(\hat p\) represent the pooled estimate of p

z would represent the statistic

\(p_v\) represent the value for the test

System of hypothesis

We want to test the claim that the employment levels for men compared to woman were different, the system of hypothesis would be:    

Null hypothesis:\(p_{1} = p_{2}\)    

Alternative hypothesis:\(p_{1} \neq p_{2}\)    

For this case the statistic is given by:

\(z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}\)   (1)  

Where \(\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{775+680}{840+1077}=0.759\)  

Replacing the info given we got:

\(z=\frac{0.923-0.631}{\sqrt{0.759(1-0.759)(\frac{1}{840}+\frac{1}{1077})}}=14.83\)    

The p value for this case would be:

\(p_v =2*P(Z>14.83)\approx 0\)    

For this case the p value is very low so we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of employment levels for men compared to woman were different.

Answer:  6

Step-by-step explanation:

Just translate it. I'll call the number "\(x\)":

\(2(x + 11) = 34\)

\(x + 11 = 17\)

\(x = \boxed6\)

Answer:

the answer to your question would be 11.5.

Step-by-step explanation:

I found this answer by taking 34 subtracting 11 and then dividing that by 2.

The rate of decrease of the weather in degrees per hour is 2 degrees.

The time elapsed is from 5:00 PM to 9:00 PM, which is 4 hours.

The temperature dropped from 20 degrees to 12 degrees, which is a change of -8 degrees.

Therefore, the rate of decrease of the weather in degrees per hour is:

-8 degrees / 4 hours = -2 degrees per hour

A measurement of how quickly the temperature changes over time is the rate of change. Depending on the time frame being considered, it is typically represented in units of degrees per hour, degrees per minute, or degrees per second. Depending on whether the temperature is rising or falling, the rate of temperature change can be either positive or negative. The temperature rises when the rate of change is positive; it falls when the rate of change is negative.

Many variables, including the amount of sunlight, wind speed, humidity, and the time of day, have an impact on the pace of temperature change. Generally speaking, temperature varies more quickly during the day than it does at night, and it varies more quickly in places with less foliage and more exposed ground. Human activity, such as the emission of greenhouse gases into the atmosphere, which can eventually lead to an increase in global temperatures, can also have an impact on the pace of change of temperature.

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The equation which correctly represents the given situation as required to be determined is; Choice C; w = 5 × 15.

It follows from the task content that the equation which correctly represents the Given situation is to be determined.

Since the intention is to buy 5 tickets in which case; each ticket costs 15 dollars; we have that;

Since the total amount of dollars they have is w dollars; The equation which holds true for the situation is; w = 5 × 15.

Consequently, answer choice C; w = 5 × 15 is correct.

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Answer:

12,400

Step-by-step explanation:

36 months /12 months = 3 years

3 years x .08 rate = .24 interest + 1 loan = 1.24 loan

1.24 x 10,000 = 12,400

Answer:

Step-by-step explanation:

12,400

Solution:

3[(8 - 4)^5] ÷ 8

3[4^5] ÷ 8

3[1024] ÷ 8

3072 ÷ 8

384

Best of Luck!

Answer:

384

Step-by-step explanation:

\(3[(8-4)^5]\)÷\(8\)

Using the rules of PEMDAS I know that I have to do the math inside of the parenthesis first.

 8 - 4 = 4

Our new equation is

\(3[(4)^5]\)÷\(8\)

Next we have to solve for the exponent.

\(4^5\)  = \(4*4*4*4*4\) = 1,204

Our new equation looks like:

\(3[1024]\)÷\(8\)

Now we will multiply, because we follow the rules of operation.

\(3 *1024= 3072\)

Finally we will divide 3,072 by 8.

\(3072/8= 384\)

Our final answer is:

384

The value of length of side AB is,

⇒ AB = 5 units

We have to given that;

The figure is shown a trapezoid.

Hence, By using Pythagoras theorem we get;

⇒ AB² = 4² + (5.25 - 2.25)²

⇒ AB² = 16 + 3²

⇒ AB² = 16 + 9

⇒ AB² = 25

⇒ AB = √25

⇒ AB = 5 units

Therefore, The value of length of AB is,

⇒ AB = 5 units

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Answer:

Step-by-step explanation:

Assumed the dimensions of the top and bottom parts are identical.

Since the cylindrical part has total height of 1.8 cm and the hemisphere volume is transferred to bottom part and the cone part is still full, the value of h is the difference of the total height of cylinder and full part of the top section of cylinder:

Find the volume of sand in the bottom part. It consists of a hemisphere and a cylinder of 1.5 cm height.

Total sand in the bottom part:

Time taken:

Answer:

k=7.38

Step-by-step explanation:

12.28-4.9=7.38

Answer:

Step-by-step explanation:

= > x + 4.9 = 12.28

= > x = 12.28 - 4.9

= > x = 7.38

Hope it helps!!

Answer:

11

Step-by-step explanation:

32.50-7.50=25

225/25=11

Answer:

No, it is not a right triangle.

If you owned this stock, you want a positive  slope because a positive slope increases the price as the number of hours increases

What is slope in this case?

The slope in this scenario is the change in stock price as result of the change in quantity of stocks sold, in other words, the slope in this stock case is -1.5, the integer beside the x, the  number of hours that have passed since the stock has been trading.

Note that the slope of -1.5 is negative, which means that as the number of trading hours increases, the stock price would go down, so if an investor intends to sell the stock at higher, the investor would a positive slope so that the price of stock increases.

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The probability that the average length of a randomly selected bundle of steel rods is greater than 168.58 cm is 0.7486

First, we need to calculate the z-score for the sample mean:

z = (x - μ) / (σ / √n)

z = (168.58 - 169) / (2.2 / √10)

z = -0.67

Next, we need to find the probability that a randomly selected bundle of steel rods will have a mean length greater than 168.58 cm. This is equivalent to finding the area under the standard normal distribution curve to the right of z = -0.67.

Using a standard normal distribution table or calculator, we find that the probability is 0.7486.

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Here is the final matching of multiplication expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9 ≈ 173

81.4 x 32.1 ≈ 2,618

32.9 x 4.81 ≈ 158

46.7 x 31.7 ≈ 1,479

59.3 x 3.57 ≈ 212

Match each multiplication expression on the left with the best estimate of its product on the right:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9

81.4 x 32.1

32.9 x 4.81

46.7 x 31.7

59.3 x 3.57

Matching the expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

Estimates for the remaining expressions:

29.3 x 5.9 ≈ 173.27

81.4 x 32.1 ≈ 2,612.94

32.9 x 4.81 ≈ 158.05

46.7 x 31.7 ≈ 1,480.39

59.3 x 3.57 ≈ 211.46

Matching the expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9 ≈ 173.27

81.4 x 32.1 ≈ 2,612.94

32.9 x 4.81 ≈ 158.05

46.7 x 31.7 ≈ 1,480.39

59.3 x 3.57 ≈ 211.46

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Answer:

z = 70°

y = 103°

Step-by-step explanation:

From the picture attached,

110° + z° = 180° [Supplementary angles]

z = 180 - 110

z = 70°

Since sum of interior angles of a polygon = (n - 2)×180°

where n = number of sides of the polygon

For a quadrilateral (n = 4),

Sum of interior angles = (4 - 2) × 180°

                                     = 360°

z° + y° + 100° + 87° = 360°

70° + y° + 187° = 360°

y = 103°

Therefore, measure of the angles x = 70° and y = 103°.

Answer:

D = 67 inches

Step-by-step explanation:

The trend line is y = x+2  where x is the height

y = 65+2

y = 67

Answer: 67 inches tall

Step-by-step explanation:

y= x+2

y= 65+2

y= 67

Answer:

1 1/2 x 3 1/4

make them improper fractions

3/2 x 13/4 = 4 7/8

Answer:

M=4

Step-by-step explanation:

I hope this helps!

The Solution.

It expression we are working on is given to be

When both sides were multiplied by 1/2, we have

The justification is: Multiplicative property of equality.

Thus, the answer is the multiplicative property of equality.

Answer:

y = 4x + 12

Step-by-step explanation:

y = mx + b

'm' represents slope

'b' represents the y-intercept

use the slope and the point (3,24) as your x and y inputs to find 'b'

24 = 4(3) + b

24 = 12 + b

b = 12

y = 4x + 12

Given:

1st month:

2nd month:

3rd month is given by:

Since the denominators are equal, we combine the fractions:

Simplify:

Answer:

There is no set of sides used to form a right triangle.

Right triangle:

The one angle is always 90° or the right angle. The side opposite angle of 90° is the hypotenuse. The hypotenuse is always the longest side. The sum of the other two interior angles is equal to 90°.

Let a = height of a triangle

     b = base of a triangle

     c = hypotenuse of a triangle

So we have formula for right triangle:

c² = a² + b²

So from this, we have

a)a = 9, b = 11, c= 13

13² = 9² + 11²

169 = 81 + 121

169 ≠ 202

Therefore the side given is not a right triangle.

b) 6, 12, 17

17² = 6² + 12²

289 = 36 + 144

289 ≠ 180

So the side given is not of a right angle triangle.

c) 8, 5, 17

17² = 8² + 5²

289 = 64 + 25

289≠ 89

So the given side is not of a right angle triangle.

d) 2, 7, 9

9² = 2² + 7²

81 = 4 + 49

81 ≠ 53

So the given triangle is not a right angle triangle.

Therefore all the given option is not of a right angle triangle.

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