Find the angles a,b,c and d

if we have a class of 15 students and we want to choose a committee of 5 students, their order and position don't matter, 3003 many different ways are there of creating a 5-person committee among the 15 students.

The combination formula is used to determine how many options there are for choosing things from a collection so that the order in which they are chosen is irrelevant. Combination, to put it simply, is the choosing of items or things from a bigger group when the order doesn't important.

Since order and position doesn't matter in this problem, use the combination formula.

The combination formula is: n! / (n-r)! r!

where n is the total number of items (15 in this case) and r is the number of items being selected at once (5 in this case)

Plugging our numbers into the formula:

= 15! / (15-5)! 5!

= 3003 ways.

So, there are 3003 ways of picking 5 people from a group of 15.

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Answer:

180°

Step-by-step explanation:

Answer:

3 sketch oads and 2 pencil

Step-by-step explanation:

I hope this can help you

Answer:

For domain you look at the x- values and for range you look at the y- values

Answer:

80 is what I got

Step-by-step explanation:

Answer:

-6x + 14 = 12 - 8x

-6x + 8x = 12 - 14

2x = -2

so x = -1

Answer:

x=-1

Step-by-step explanation:

-6x+14=12-8x

Add 6x to both sides

-6x+6x+14=12-8x+6x

Then,

14=12-2x

Subtract 12 from both sides

14-12=12-12-2x

Then,

2=-2x

Divide both sides by -2

-1=x

Hope this helps!! :)

0.6%  is the probability of getting a king .

What is probability ?

Probability of K from full 52 card pack = 4/52 = 1/13

Probability of A from the remaining 51 cards = 4/51

“And" in probability means you Multiply.

1/13 x 4/51 = 4/663 = 0.6%

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Answer:

x=4

Step-by-step explanation:

-9=-x-5

-9+5=-x

-4=-x

x=4

Answer:

5.5217

4.9475

Step-by-step explanation:

Given that :

Mean (m) = 5.3

Standard deviation (s) = 0.3

Score

Minimum redbloodcell in top 23% count

Z = (x - m) / s

Z at 0.23 = 0.739

P(z> x) = 0.23 ; Z = 0.739

0.739 = (x - 5.3) / 0.3

0.739 * 0.3 = x - 5.3

0.2217 = x - 5.3

x = 0.2217 + 5.3

x = 5.5217

(b) What is the maximum red blood cell count that can be in the bottom 12​% of​ counts?

Z = (x - m) / s

P(z< x) = 0.12 ; Z = - 1.175 ( Z probability

-1.175 = (x - 5.3) / 0.3

-1.175 * 0.3 = x - 5.3

- 0.3525 = x - 5.3

x = - 0.352 + 5.3

x = 4.9475

The value that results when 128. 5 subtracts 23. 5 would be C. 105.

To solve the problem, we would need to subtract 23. 5 from the value of 128. 5:

128. 5 - 23. 5 = ?

We simply need to subtract 23. 5 from 128. 5 , which gives us:

128. 5 - 23. 5 = 105

The first option is therefore incorrect. The second option is negative like the fourth option which makes it wrong as well because 128. 5 is much larger than 23. 5 and is positive so the result will have to be positive.

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Full question is:
128. 5- 23.5 = ?

A. 115

B. -115

C. 105

D. -105​

The inverse of the matrix with orthonormal columns is simply its transpose.

If a square matrix has orthonormal columns, it means that the dot product of any two columns is zero, except when the two columns are the same, in which case the dot product is 1. This implies that the columns are linearly independent, because if any linear combination of the columns were zero, then the dot product of that combination with any other column would also be zero, which would imply that the coefficients of the linear combination are zero.

Since the matrix has linearly independent columns, it follows that the matrix is invertible. The inverse of the matrix is simply the transpose of the matrix, since the columns are orthonormal. To see why, consider the product of the matrix with its transpose:

\((A^T)A = [a_1^T; a_2^T; ...; a_n^T][a_1, a_2, ..., a_n]\\ = [a_1^T a_1, a_1^T a_2, ..., a_1^T a_n; \\ a_2^T a_1, a_2^T a_2, ..., a_2^T a_n; ... a_n^T a_1, a_n^T a_2, ..., a_n^T a_n]\)

Since the columns of the matrix are orthonormal, the dot product of any two distinct columns is zero, and the dot product of a column with itself is 1. Therefore, the diagonal entries of the product matrix are all 1, and the off-diagonal entries are all zero. This implies that the product matrix is the identity matrix, and so:

(A^T)A = I

Taking the inverse of both sides, we get:

\(A^T(A^-1) = I^-1(A^-1) = A^T\)

Therefore, the inverse of the matrix with orthonormal columns is simply its transpose.

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Answer:

Options A, D, and E (0, 5, -1)

Step-by-step explanation:

A vertical asymptote is located where the denominator is equal to 0. Therefore, x=0, x=5, and x=-1 are all vertical asymptotes.

The graph that represents the derivative of function f in the table is given as follows:

Graph 3.

To obtain the graph of the derivative of the function, we need to look at the function's behavior, as the derivative represents the rate of change of the function over an interval.

From the table, we have that the function is increasing over it's entire domain, hence the derivative is always positive.

The increase is initially slow, then it gets faster around x = 4, and then it gets slower again, meaning that the format of the graph of the derivative is that of a concave down parabola.

The highest derivative achieved is between 3.6 and 4.2, which is of:

(4.45 - 3.1)/0.6 = 2.25.

Meaning that Graph 3 is correct.

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Decoding Forecast starting at 17:00Z:

Wind:

24014G23KT

Visibility:

5 statute miles

Weather:

Light rain showers

Clouds:

Overcast at 1500 feet

Incomplete report.

The decoded report is:

Location:

KJAX (Jacksonville International Airport)

Date/Time: 10th at 23:20Z

Wind:

00000KT

Visibility:

More than 6 statute miles

Clouds:

Scattered at 3500 feet

Forecast starting at 11:00Z:

Wind:

00000KT

Visibility:

5 statute miles

Weather:

Mist

Clouds:

Broken at 1000 feet, Broken at 2000 feet

Forecast starting at 06:00Z:

Wind:

16003KT

Visibility:

2 statute miles

Weather:

Mist

Clouds:

Broken at 500 feet, Overcast at 1000 feet

Temporary condition between 08:00Z and 12:00Z:

Visibility:

1 statute mile

Weather:

Mist

Clouds:

Overcast at 300 feet

Forecast starting at 14:00Z:

Wind:

20010G18KT

Visibility:

More than 6 statute miles

Weather:

Vicinity showers

Clouds:

Broken at 1500 feet, Overcast at 2500 feet

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It is not possible for a study to have practical significance without statistical significance because statistical significance provides evidence that the observed effect is unlikely to have occurred by chance.

The Practical significance and statistical significance are two different concepts that are often used in hypothesis testing.

The Statistical significance refers to the probability that the observed results of a study occurred by chance, given a particular level of significance or alpha.

The Practical significance refers to whether the observed effect size is large enough to be meaningful in a real-world context.

It is possible for a study to have statistical significance without practical significance. For example, a study may find a statistically significant difference between two groups, but the difference may be so small that it is not meaningful in practice.

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The normal probability plot determines a normal distribution

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the centre of the range.

Normal distributions are symmetric, uni-modal, and asymptotic, and the mean, median, and mode are all equal

A data set (when graphed) must follow a bell-shaped symmetrical curve centered around the mean

Given data ,

Let the normal distribution be represented as N

Now , the normal probability is P

A normal probability plot, also known as a "normal plot," plots sorted data against values chosen to resemble a straight line in the final image if the data are roughly normally distributed.

Divergences from normalcy are shown by deviations from a straight line.

A straight, diagonal line means that you have normally distributed data. If the line is skewed to the left or right, it means that you do not have normally distributed data.

Hence , the normal probability plot determines a normal distribution

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The trapezoid with bases of 16 feet and 10 feet and a height of 3 feet has an area of 39 ft².

The formula for the area of a trapezoid is:

A = (1/2) × (Base 1 + Base 2) × height

Substituting the given values, we get ;

A = (1/2) × (16 + 10) × 3

Use the arithmetic operation of addition;

A = (1/2) × 26 × 3

A =  39 ft²

Therefore, the area of the trapezoid is 39 ft²

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The Statement which is true is (c) the smaller the standard deviation, the more concentrated the data will be.

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

A standard deviation close to zero indicates that data points are close to the mean, whereas a high or low standard deviation indicates data points are respectively above or below the mean.

The smallest possible value for the standard deviation is 0, and that happens only in contrived situations where every single number in the data set is exactly the same

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Answer:

A

Step-by-step explanation:

(6,4)

3x-1y=14

-y= 3x-14

y=-2x+16

sub in first equation

3x-14 =-2x+16

3x+2x= 16 +14

5x = 30

x = 6

plug in x

y=-2x+16

y = -2(6)+16

y = 4

(6,4)

Answer:

8

Step-by-step explanation:

By intersecting tangent secant theorem:

\( {x}^{2} = 4(4 + 12) \\ \\ {x}^{2} = 4 \times 16 \\ \\ {x}^{2} = 64 \\ \\ x = \sqrt{64} \\ \\ x = 8\)

Answer:

6.9

Step-by-step explanation:

If a secant segment and tangent segment are drawn to a circle from the same external point, the product of the length of the secant segment and its external part equals the square of the length of the tangent segment

x² = 4 * 12

x² = 48

Take the square root of both sides

x = 6.9282032303

Rounded

x = 6.9

21

"For whatever reasons, Ray, call it . . . Fate, Call it Luck, Call it Karma. I believe everything happens for a reason. I believe that we were destined to get thrown out of this dump."-Dr. Peter Venkman GhostBusters

Answer:

Question 16: 44 inches

Question 18: 10, 24, 26

Step-by-step explanation:

Question 16:

Pythagoras Theorem: c^2 = a^2 + b^2, where c is the hypotenuse and the longest side.

125^2 = 117^2 + b^2

15,625 = 13,689 + b^2

15,625 - 13689 = b^2

1936 = b^2

√1936 = b

44 = b

Question 18:

Pythagoras Theorem: c^2 = a^2 + b^2, where c is the hypotenuse and the longest side. You have to try all the possibilities. The ones that match are the lengths.

The answers are 10, 24, 26

c^2 = a^2 + b^2

26^2 = 10^2 + 24^2

676 = 100 + 576

676 = 676

Answer:

\(-10x + 4 y + 27\)

Step-by-step explanation:

Answer: -10x+4y+27

Step-by-step explanation: first, combine the like terms

20 + 7= 27

-9x-x=-10x

4y stays the same so, if simplified this equals

-10x+2y+27

Answer:

Step-by-step explanation:

Terms with the exponents are like terms, we can subtract the exponents from each other when we divide.

(8y^7)/(4y^5) = 2y^(7-5) = 2y^2

Answer: \(2y^{2}\)

Step-by-step explanation:

8/4=2

\(y^{7} / y^{5} =y^{7-5} =y^{2}\)

so the answer is 2y^2

Answer:

Step-by-step explanation:

To calculate the number of grams of protein Richard needs each day, we need to consider his weight and his activity level. A general guideline for protein intake is around 0.8 grams per kilogram of body weight.

Richard's weight is given as 175 pounds. To convert this weight to kilograms, we divide it by the conversion factor of 2.2046 (1 kilogram is approximately equal to 2.2046 pounds). Therefore, Richard's weight in kilograms is 175 pounds / 2.2046 = 79.3787 kilograms (rounded to four decimal places).

The general guideline for protein intake is 0.8 grams per kilogram of body weight. Multiplying this guideline by Richard's weight in kilograms, we can calculate his daily protein needs. Thus, Richard needs approximately 0.8 grams per kilogram * 79.3787 kilograms = 63.503 grams of protein each day.

Therefore, based on his weight and the recommended protein intake guideline, Richard needs approximately 63.503 grams of protein daily. This amount can provide the necessary protein for his fitness goals and support his gym routine.

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Answer:

4.6667

Step-by-step explanation:

Answer:

4.66666667

Step-by-step explanation:

I was never sure about the amount 6's in it, but 2/3 is just .6666666... (so on) and 4 is a whole number so you'll just place it before like so: 4.66666..