Could someone help with my Geometry??

The number of possible combinations of 10 men chosen from 26 men in the juror pool is, 44128260

Since, A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

We have to given that;

Total person = 26

Number of choose person = 10

Hence, The number of possible combinations of 10 men chosen from 26 men in the juror pool is,

⇒ ²⁶ C ₁₀

⇒ 26! / 10! 16!

⇒ 44128260

Thus, The number of possible combinations of 10 men chosen from 26 men in the juror pool is, 44128260

Learn more about the combination visit:

brainly.com/question/28065038

#SPJ1

The measure of angle 1 in the given figure is 56 degrees.

From the image of the angle:

Measure of angle ABD = 62 degrees

Measure of angle 2 = 6 degrees

Measure of angle 1 = ?

From the diagram, angle 1 and angle 2 makes up angle ABD.

To solve for the missing angle ( angle 1 ), sum up both angle 1 and 2 and equate to angle ABD.

Hence:

Angle 1 + Angle 2 = Angle ABD

Plug in the values and simplify:

m∠1 + 6 = 62

Subtract 6 from both sides

m∠1 + 6 - 6 = 62 - 6

m∠1 = 62 - 6

m∠1 = 56 degrees

Therefore, angle 1 measures 56 degrees.

Learn more about angles here: https://brainly.com/question/31818999

#SPJ1

Savings play a crucial role in wealth creation and financial security while savings alone may not determine an individual's overall wealth

Wealth and savings are closely related concepts and often go hand in hand.

Savings refer to the portion of income or resources that individuals or households set aside for future use or to meet financial goals.

It represents the act of not spending all of one's income and instead preserving a portion for later use.

Wealth, on the other hand, refers to the total accumulated assets, possessions, and financial resources that an individual or household possesses.

It encompasses not only the current income and savings but also the value of investments, properties, and other assets.

Savings contribute to the accumulation of wealth over time.

To learn more on Savings click:

https://brainly.com/question/7965246

#SPJ1

If you need assistance with rotating a figure or performing any specific task, please provide a detailed description or explain the steps involved, and I'll do my best to guide you through the process.

Answer:

22148 pounds

Step-by-step explanation:

radius = half of diameter = 5.

Volume of hemisphere = (2/3) X π X r ³

= (2/3) X π X (5) ³ = (250/3)π

density = mass/volume, mass = density X volume

= 84.6 X (250/3)π

= 7050π

= 22148 pounds (to nearest full pound)

Certainly! I'll be happy to solve and explain the given problem to you in a step-by-step manner.

In the given diagram, we have a triangle with two angles labeled as 4x° and (3x + 10)°. We need to solve for the value of x.

According to the properties of triangles, the sum of the interior angles of a triangle is always 180 degrees. Therefore, we can set up the following equation:

4x + (3x + 10) + 90 = 180

Let's simplify the equation:

4x + 3x + 10 + 90 = 180

7x + 100 = 180

Next, we'll isolate the variable term by subtracting 100 from both sides of the equation:

7x = 180 - 100

7x = 80

To solve for x, we'll divide both sides of the equation by 7:

x = 80 / 7

Now, let's calculate the value of x:

x ≈ 11.43

Therefore, the value of x is approximately 11.43.

Please note that this solution assumes the given diagram accurately represents the angle measurements, and the calculations provided are based on that assumption.

Answer: The time it takes for a sum of money to amount to a certain amount at a certain interest rate can be calculated using the following formula:

Time = (100 x (Amount - Principal)) / (Principal x Rate)

In this case, the principal is Rs. 2000, the amount is Rs. 2240, and the rate is 4%. Therefore, the time is:

Time = (100 x (2240 - 2000)) / (2000 x 4) = 3 years

Therefore, it will take 3 years for Rs. 2000 to amount to Rs. 2240 at 4% simple interest.

Step-by-step explanation:

If 3 and 4 are the legs of a right triangle, the hypotenuse is 5.

In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.

The theorem can be written as an equation relating the lengths of the sides a, b and the hypotenuse c, sometimes called the Pythagorean equation

[tex]\sf a^2+b^2=c^2[/tex]

Given the question above, we need to find the hypotenuse if 3 and 4 are the legs of a right triangle.

So,

[tex]\sf a^2+b^2=c^2[/tex]

[tex]=\sf 9+16=25[/tex]

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

Hence, the hypotenuse is 5 if 3 and 4 are the legs of a right triangle.

Learn more about the Pythagorean Theorem with this given link.

https://brainly.com/question/31658142

Step-by-step explanation:

Team A time is    1 garden / ( 1 garden/ 2 hr + 1 garden/4 hr) = 1 1/3 hr

Team B =   1 / ( 1/3 + 1/3) =  1 1/2 hr

Team A wins !

Answer:

After Grace gave 2 cupcakes to Wonwoo, he had a total of 5 cupcakes. However, after he gave 1 cupcake to Grace, he was left with 4 cupcakes again. But then, things took a turn for the better when Lois and Seeun each gave him 4 cupcakes. This means that Wonwoo now has a total of 12 cupcakes!

Step-by-step explanation:

I believe this is right; please tell me if it is not.

The total surface area of the figure is twice this amount, or 192π square inches.

Given that the height of each individual cone is 8 inches, we can use the Pythagorean theorem (a²  + b²  = c² ) to calculate the radius. The hypotenuse of the right triangle formed by the cone is the slant height, which is 10 inches, and one side is the height, which is 8 inches. So:

10²  - 8²  = r²

100 - 64 = r²

r²  = 36

r = √36 = 6 inches.

Substituting these values into the surface area formula, we get:

A = π * 6 * (6 + √(8² + 6² ))

= π * 6 * (6 + √(64 + 36))

= π * 6 * (6 + √100) = π * 6 * (6 + 10)

= π * 6 * 16 = 96π square inches.

Since we have two cones, the total surface area of the figure is twice this amount, or 192π square inches.

Read m ore on surface area of a cone here https://brainly.com/question/76387

#SPJ1

Answer:

Slope intercept form is y=3x-9

Graphing:

Step-by-step explanation:

Answer:

Yes, x/5 is a linear equation. A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable x is 1, so it is a linear equation.

The graph of x/5 is a straight line with a slope of 1 and a y-intercept of 0.

the square root of 598 is 24.4540385

There are 72 different meals that you can get for $3.98

We know that for $3.98 you can get a salad, a main course, and a dessert at the cafeteria.

The total number of different meals that you can get, is equal to the product between the number of options for each one of the selections, such that the selections (and correspondent options) are:

Then the total number of different meals is:

M = 3*4*6

M = 72

That is the number of different meals.

Learn more about combinations at:

https://brainly.com/question/11732255

#SPJ1

Answer:

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

If the middle number is x, the other numbers are x - 1 and x + 1.

They sum to 3x and it is equal to 51:

The numbers are 16, 17 and 18.

3 and 2/4 converted as a percent is 3.50%.

Percent means 'out of 100'. Think of any measurement or object split into one hundred equal bits. Each bit is one percent of the whole thing.

Given the question above, we need to convert 3 and 2/4 as a percent.

So,

[tex]\sf \dfrac{2}{4} =0.50[/tex]

[tex]3+0.50[/tex]

[tex]=3.50\%[/tex]

Hence 3 and 2/4 converted as a percent is 3.50%.

Learn more about percentage here:

https://brainly.com/question/12009252

To find the z-score for a population value of 21, we can use the formula:

z = (x - μ) / σ

where:

x = population value

μ = mean of the population

σ = standard deviation of the population

In this case, x = 21, μ = 12, and σ = 4.

Substituting the values into the formula:

z = (21 - 12) / 4

z = 9 / 4

z = 2.25

Therefore, the z-score for a population value of 21 is 2.25.

Note:
I hoped this helped in any kind of way.

Answer:

Step-by-step explanation:

1) The number of combinations of the letters A, B, C, D, and E taken 4 at a time is 5.

The formula for the number of combinations is n!/(r!(n-r)!), where n is the total number of items, and r is the number of items to be selected. In this case, n = 5 and r = 4. Therefore, the number of combinations is 5!/(4!(5-4)!) = 5.

Theoretical probability is the likelihood or chance of an event occurring based on the ratio of the number of favorable outcomes to the total number of possible outcomes.

2) The theoretical probability of rolling a 2 on a die is 1/6.

There are six possible outcomes when rolling a die, and only one of those outcomes is a 2. Therefore, the probability of rolling a 2 is 1/6.

3) The theoretical probability of landing on blue when spinning the spinner is 1/5.

There are five possible outcomes when spinning the spinner, and only one of those outcomes is blue. Therefore, the probability of landing on blue is 1/5.

4) The ratio of wine lists to cookbooks in simplest form is 3/2.

To simplify the ratio, divide both the numerator and denominator by their greatest common factor, which in this case is 6. 18/6 = 3, and 12/6 = 2, so the ratio of wine lists to cookbooks in simplest form is 3/2.

5) The probability of drawing a red or yellow marble from the bag is 8/14 or 4/7.

There are a total of 14 marbles in the bag, 5 of which are red and 3 of which are yellow. Therefore, the probability of drawing a red or yellow marble is (5+3)/14 = 8/14 or 4/7.

6) The probability of drawing a number greater than 10 from a ball numbered 1-100 is 9/10.

There are 90 numbers greater than 10 in the set of numbers from 1 to 100, and there are 100 total numbers. Therefore, the probability of drawing a number greater than 10 is 90/100, which simplifies to 9/10.

7) The mean of the set of data {10, 15, 25, 50} is 25.

To find the mean, add up all of the numbers in the set and divide by the total number of numbers. (10+15+25+50)/4 = 100/4 = 25.

8) The median of the set of data {6, 23, 46, 3, 17} is 17.

To find the median, first put the numbers in order from smallest to largest: 3, 6, 17, 23, 46. Since there are an odd number of numbers in the set, the median is the middle number, which is 17.

9) The mode of the set of data {3, 7, 10, 18, 4, 5} is no mode.

The mode is the value that appears most frequently in the data set. In this case, none of the values appear more than once, so there is no mode.

10) In a stem-and-leaf plot, the leaf represents the ones place of the numbers in the data set.

The stem-and-leaf plot is a way to organize numerical data by placing the tens digit in the stem and the ones digit in the leaf.

11) Finding quartiles is like finding medians.

Quartiles divide a data set into

The probability of randomly selecting a Spade or a face card given that it's black is approximately 0.8077 or 80.77%.

To calculate the probability of randomly selecting a Spade or a face card given that it's black, we need to determine the number of favorable outcomes and the total number of possible outcomes.

Step 1: Determine the number of favorable outcomes.

In a standard deck of cards, there are 52 cards. Since we're looking for a Spade or a face card, let's calculate the number of favorable outcomes separately for each category.

Number of Spades:

In a deck, there are 13 spades (Ace of Spades, 2-10 of Spades, Jack of Spades, Queen of Spades, and King of Spades).

Number of Face Cards:

In each suit (Spades, Hearts, Diamonds, and Clubs), there are three face cards: Jack, Queen, and King. Since we're only interested in black cards, we need to consider the face cards of Spades and Clubs, which are black. Therefore, there are 2 black face cards in each suit, giving a total of 8 black face cards in the deck.

So the total number of favorable outcomes is 13 (spades) + 8 (black face cards) = 21.

Step 2: Determine the total number of possible outcomes.

In a standard deck of 52 cards, half are black cards (26 cards) since there are 26 black cards and 26 red cards.

Step 3: Calculate the probability.

The probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

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

Probability = 21 / 26

Simplifying the fraction, we get:

Probability = 0.8077 (rounded to four decimal places)

Therefore, the probability of randomly selecting a Spade or a face card given that it's black is approximately 0.8077 or 80.77%.

For such more questions on probability

https://brainly.com/question/25839839

#SPJ11

The relative position of a score and provide a standardized way to compare scores from different distributions with varying means and Standard deviations.

The z-score of a person who scored 330 on the exam, we can use the formula for calculating the z-score:

z = (x - μ) / σ

where:

- z is the z-score,

- x is the value we want to find the z-score for (330 in this case),

- μ is the mean of the distribution (195 in this case),

- σ is the standard deviation of the distribution (50 in this case).

Substituting the values into the formula:

z = (330 - 195) / 50

Calculating this expression:

z = 135 / 50

Simplifying:

z = 2.7

Therefore, the z-score of a person who scored 330 on the exam is 2.7.

A z-score represents the number of standard deviations a particular value is from the mean of a normal distribution. In this case, a z-score of 2.7 indicates that the person's score of 330 is 2.7 standard deviations above the mean of 195. This means that their score is relatively high compared to the average performance on the exam.

Z-scores are useful for comparing and understanding individual scores within a distribution. They allow us to determine the relative position of a score and provide a standardized way to compare scores from different distributions with varying means and standard deviations.

To know more about Standard deviations.

https://brainly.com/question/24298037

#SPJ11

The set of decimal numbers that is correctly ordered from least to greatest from left to right is option C: 308.463, 330.991, 328.463, 330.693.

To order the decimal numbers from least to greatest, we compare the numbers digit by digit, starting from the left.

Let's compare the numbers in each option:

A. 328.463, 308.463, 330.693, 330.991

The numbers are not in the correct order because 308.463 should come before 328.463.

B. 308.463, 330.991, 330.693, 328.463

The numbers are not in the correct order because 328.463 should come after 330.693.

C. 308.463, 330.991, 328.463, 330.693

The numbers are in the correct order from least to greatest.

D. 308.463, 328.463, 330.693, 330.991

The numbers are not in the correct order because 330.693 should come before 328.463.

Learn more about Ascending order here:

https://brainly.com/question/31946606

#SPJ1

Answer:

To complete the square for the equation X^2-8x+32=12x-4, we first need to move all the constant terms to one side of the equation and all the variable terms to the other side.

X^2 - 8x - 12x + 32 = -4

Next, we can simplify the equation by combining like terms:

X^2 - 20x + 32 = -4

Then, we can add a constant term to both sides of the equation such that the left side becomes a perfect square trinomial:

X^2 - 20x + 100 = 64

Finally, we can write the left side of the equation in the form (x - a)^2, where a is a constant:

(X - 10)^2 = 64

Therefore, the intermediate step in the form (x + a)^2 = b as a result of completing the square for the equation X^2 - 8x + 32 = 12x - 4 is (X - 10)^2 = 64.

Answer:

The perimeter of this rectangle is 10 cm.

Answer: the function's y-intercept, 64°F

Step-by-step explanation:

       Since "t" represents time, if we set t = 0 to find the initial temperature (0 minutes), we find the function's y-intercept.

       To find the initial temperature, we will set t = 0. When we do this, we are finding the y-intercept which is the same as the constant value.

[tex]y=-\frac{1}{40}t^2+t+64[/tex]

[tex]y=-\frac{1}{40}(0)^2+(0)+64[/tex]

[tex]y=64[/tex]

   64°F

The proportion that can be used to determine Jason's height based on the relationship between the lengths of their shadows is J/8 = H/10.

Given that Joshua is 5 ft tall and casts an 8-ft shadow.

He is standing next to Jason, who casts a 10 shadow.

We have to find a proportion that could be used to determine Jason's height

Let's denote Joshua's height as J and Jason's height as H.

We can set up the proportion by taking the height by shadow

J/8 = H/10

Hence, J/8 = H/10 is the proportion can be used to determine Jason's height based on the relationship between the lengths of their shadows.

To learn more on Ratios click:

https://brainly.com/question/13419413

#SPJ1