Can a chord also be classified as a radius? Explain your answer.

If we assume the total no. of people to be odd then the no. of handshakes

each person will have will be an even number.

A set is a collection of well-defined objects.

A subset contains all the elements or a few elements of the given set.

The improper subset is when it contains all the elements of the given set and the proper subset is when it doesn't contain all the elements of the given set.

Assuming the no. of total people to be 'n' and 'n' is an odd no.

Now if each person shakes hands with each other except their own hands each person will have (n - 1) no. of handshakes and (n - 1) or odd - 1 will always be an even no.

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The sum of handshakes is always even at a party as each handshake involves two people.

To show that the sum of handshakes is even:

Consider that each handshake involves two people, adding two handshakes to the total.

Since each person shakes hands with an odd number of people, the total sum of handshakes will be even.

Hence, the sum of the number of people a person has shaken hands with will always be even.

The probability of having 7 boys and 1 girl in a family with 8 children is 1/128.

To find the probability of having 7 boys and 1 girl in a family with 8 children, we can use the concept of combinations. There are 8 children in total, and we want to choose 7 boys and 1 girl from them. The probability of having a boy or a girl at each birth is 50%, so we can use the binomial coefficient to calculate the probability. The formula for the binomial coefficient is C(n, k) = n! / (k!(n-k)!), where n is the total number of children and k is the number of boys we want. Plugging in the values, we get C(8, 7) = 8! / (7!(8-7)!) = 8. Therefore, the probability of having 7 boys and 1 girl in any order in a family with 8 children is 8 / 2^8 = 1 / 128.

Hello!

I believe the answer is A) 1052.

I hope it helps!

Answer:

[tex]sin (70^{\circ})=cos (20^{\circ})[/tex]

Option C is correct.

Step-by-step explanation:

we have to choose the option for which the value is equals to sin(70°)

As in the first quadrant sine and cosine both are positive

[tex]\sin \theta = \cos (90-\theta)\\\\\sin (70^{\circ})= \cos (90-70)=\cos (20^{\circ})\\\\sin (70^{\circ})=cos (20^{\circ})[/tex]

hence, option C is correct.

Answer to this question is pie of 5

The number that produces an irrational number when added to 2/5 is 0.55....

A rational number is one that can be stated mathematically as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively.

To produce an irrational number when added to 2/5, the number must be irrational itself.

Therefore, options B, C, and D are eliminated since they are all rational numbers.

Option A, 0.555..., is a repeating decimal and can be expressed as a fraction of 5/9. When added to 2/5, we get:

2/5 + 5/9 = (18/45) + (25/45) = 43/45

Since 43/45 is not a rational number, the answer is A) 0.555...

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Answer:

Inequality is m ≤ 1000

Step-by-step explanation:

Capacity of the pool to hold the maximum water is = 4500 gallons of water.

Pool is already having 1500 gallons of water so remaining volume of the pool that can be filled is = 4500 - 1500 = 3000 gallons

Marcus begins to add 30 gallons water per minute and it takes "m" minutes to  fill the remaining volume.

So amount of water required = 30m gallons

There is a condition that Marcus continues to add water without exceeding the maximum amount of water.

This means remaining amount "3m gallons" will be never cross the limit of "3000 gallons" of remaining volume of water.

Now we can form the inequality as 3m ≤ 3000

or m ≤ 1000

Therefore, answer is m ≤ 1000

Correlation coefficient measures the relationship between two variables in a scatterplot. Its value ranges from -1.0 to 1.0. You can estimate it by observing the direction and the closeness of the data points to a line of best fit.

The correlation coefficient is a statistical measure that calculates the strength of the relationship between the relative movements of two variables. The values range between -1.0 and 1.0. A calculated number greater than 1.0 or less than -1.0 means that there was an error in the correlation measurement. A correlation of -1.0 shows a perfect negative correlation, while a correlation of 1.0 shows a perfect positive correlation. A correlation of 0.0 shows no linear relationship between the movement of the two variables.

To estimate the correlation coefficient from a scatterplot, observe the tightness of the points around a line of best fit and whether the points are mainly increasing or decreasing. For tight points increasing, it's close to 1. For tight points decreasing, it's close to -1. If there's no pattern, it's close to 0.

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The two trains will meet in 2.4 hours.

Distance is defined as the product of speed and time.

We have been given that two trains depart from stations 532 miles apart at the same time and head in the opposite direction. The first train runs at 90 miles per hour, while the second at 100 miles per hour.

Let's assume x distance 90 mph train traveled

Then (532 - x) is the distance 100 mph train traveled

Travel time = distance/speed (equal in both directions)

⇒ x/90 = (532 -x)/100

⇒ 100x = 90× 532 - 90x

⇒ 100x + 90x = 47880

⇒ 190x = 47880

⇒ x = 47880/190

⇒ x = 252

So travel time = 252/90 = 2.4 hrs

Therefore, the two trains will meet in 2.4 hours.

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First if all, we know that the coin has two sides- head and tail

P(getting a head of the first flip):

1/2

P(getting a tail on the second flip):

1/2

P(getting a head on the third flip):

1/2

To find the final answer, take:

1/2×1/2×1/2=1/8

As a result, the probability that you'll get a head on the first flip, a tail on the second flip, and another head on the third flip is 1/8. Hope it help!

Answer:

Step-by-step explanation:

To calculate the percentage of each expenses we use this formula :

[tex]\frac{amountofbudgetitem}{Totalbudget}[/tex]  × 100

Household Budget Items             Amount ($)            Percentage

Donations                                       1,620                       12%

Taxes                                               1,620                       12%

Food                                                 3,510                       26%

Clothing                                           2,700                       20%

Housing                                           1,350                        10%

Transportation                                   675                         5%

Insurance                                           675                         5%

Savings                                              675                         5%

Recreation and

miscellaneous                                    675                        5%

Total Budget                                     13,500                    100%