answer 1
Question 1 2 pts Suppose a group of eleven people consists of five men and six women. How many committee of of five-person teams can be formed that contain at most two men? 281 462 120 720

Between the time interval 1 hour to 2 hours the speed of bicycle is greater.

From the given graph,

With (1, 12) and (2, 34)

Rate = (34-12)/(2-1)

= 22 miles per hour

With (2, 34) and (4, 70)

Rate = (70-34)/(4-2)

= 36/2

= 18 miles per hour

With (4, 70) and (6, 104)

Rate = (104-70)/(6-4)

= 34/2

= 17 miles per hour

With (6, 104) and (8, 146)

Rate = (146-104)/(8-6)

= 42/2

= 21 miles per hour

With (8, 146) and (10, 178)

Rate = (178-146)/(10-8)

= 32/2

= 16 miles per hour  

Therefore, between the time interval 1 hour to 2 hours the speed of bicycle is greater.

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x is greater than eleven thirds.

Inequality are expression that have <, > , ≤ and ≥ .

Therefore,

1 / 5 (5x) + 10 + 5x > 32

Hence,

1 / 5 × 5x + 10 + 5x > 32

x + 10 + 5x >32

combine like terms

x + 10 + 5x >32

x + 5x + 10 > 32

Therefore,

x + 5x + 10 > 32

6x + 10 > 32

subtract 10 from both sides

6x + 10 - 10 > 32 - 10

6x > 22

divide both sides by 6

x > 22 / 6

x > 11 / 3

Therefore, x is greater than eleven thirds.

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The mean of the quantitative variable of interest in the population is called the mean.

For the purposes of data collection and analysis in statistics and other fields of mathematics, a population is a distinct group of people, animals, or things that can be recognized from one another. In order to learn more about a large population, data is often gathered from a sample.

As an example, inquire about the primary occupation of 100 people chosen at random during a football game. All 100 members of your sample make up the population at that match. The population will always equal the larger of the sample size and the total population. The population is used to refer to the overall population being studied. The illustration's population is representative of the student body at the high school under examination.

Therefore, the mean of the quantitative variable of interest in the population is called the mean.

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Answer:

16/4 = 4

4 * 8 = 32

32 grams in a 16 ounce serving

Answer:

32 grams of protein

Step-by-step explanation:

We know that 8 is double of 4, which means that if you have 16 ounces you are going to multiply by 2 to double it, which gives you 32.

The sample indicates that the data does not provide sufficient evidence to support the claim that 20% of plants are infected.

This given test is a test for single sample proportion

The test hypothesis are:

\(H_{o} :p=0.20\), null hypothesis

\(H_{1} :p\neq 0.20\), alternative hypothesis

The test statistic fallows a standard normal distribution and is given by:

\(Z=\frac{x-p}{{\sqrt{p(1-p)/n} } }\)

p=0.20

X=47 plants

Sample size, n=500

x, is the sample mean:

x=X/n=47/500

x=0.094

So, test statistic is calculated as:

\(Z=\frac{0.094-0.20}{\sqrt{0.20(1-0.20)/500} }\)

Z=-5.93

From the z-table, the p-value associated with Z=-5.93 is approximately 0

The decision rule based on p-vale, is to reject the null hypothesis if p-value is less than confidence level

In this case, the p-value is very small and less than confidence level of 0.20, we therefore reject the null hypothesis or the claim

So we conclude that the data does not provide sufficient evidence to support the claim that 20% of plants are infected.

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The probability that 0 or fewer students will withdraw from the course is 26.68%.

Let x be the number of students that withdraw from the introductory statistics course.

We can use a binomial distribution to solve this problem. The binomial distribution formula is:

P(x) = nCx * p^x * (1-p)^(n-x)

Where n is the number of trials, p is the probability of success, and x is the number of successes.

In this case, n = 100 (the number of students registered for the course), p = 0.4 (the probability of a student withdrawing from the course), and x = 0, 1, 2, ..., 100 (the number of students that withdraw from the course).

We want to calculate the probability that 0 or fewer students will withdraw from the course. This can be calculated by summing all the probabilities of x = 0, 1, 2, ..., 100:

\(P(x ≤ 0) = P(x = 0) + P(x = 1) + P(x = 2) + ... + P(x = 100)\\P(x ≤ 0) = nCx * p^x * (1-p)^(n-x)\\P(x ≤ 0) = 100C0 * 0.4^0 * (1 - 0.4)^100\\P(x ≤ 0) = 0.2668 = 26.68%\)

The probability that 0 or fewer students will withdraw from the course is 26.68%.

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Answer:

\(-\frac{45}{16}\)

Step-by-step explanation:

\(g(x)=\frac{x^{2} -7x+1}{4}\)

Take the derivate of g:

\(g'(x)=\frac{x-7}{4}\)

Find x that:

g'(x)=0

\(\frac{2x-7}{4}=0\\x=\frac{7}{2}\)

This x give the least possible value that are g(7/2):

\(g(\frac{7}{2}) =-\frac{45}{16}\)

Answer:

Bodmas in full is Bracket Of Division

Bracket Of Division Multiplication Addition and Subtraction

\(2 + 4 \times 6 \div 3\)

\(2 \div 3 \times 6 + 4\)

\(0.66666 \times 6 + 4\)

\(4 + 4\)

\( = 8\)

hope that helps you

There are 99 students who speak all three languages: Mandarin, Japanese, and Korean. The minimum number of students who speak all three languages is 99.

The method used to solve this problem is based on set theory, which is a branch of mathematics that deals with the study of sets, their properties, and their relationships with one another. Specifically, the principle of inclusion-exclusion, which is used in this problem, is a counting technique that is often used in combinatorics and probability theory, which are also branches of mathematics.

Let X be the number of students who speak all three languages.

Then we have:

Number of students who speak only Mandarin = 174 - 102 - 81 - X = -9 - X (since there cannot be a negative number of students)

Number of students who speak only Japanese = 139 - 102 - 71 - X = -34 - X (since there cannot be a negative number of students)

Number of students who speak only Korean = 112 - 81 - 71 - X = -40 - X (since there cannot be a negative number of students)

Number of students who speak only one language = -9 - X + (-34 - X) + (-40 - X) = -83 - 3X (since there cannot be a negative number of students)

Total number of students who speak at least one language = 268 - 37 = 231

Therefore, the number of students who speak all three languages is:

Total number of students who speak at least one language - Number of students who speak only one language - Number of students who do not speak any of the three languages

= 231 - (-83 - 3X) - 37

= 297 + 3X

Since the number of students who speak all three languages cannot be negative, we have:

297 + 3X ≥ 0

3X ≥ -297

X ≥ -99

Therefore, the minimum number of students who speak all three languages is 99.

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Answer:

no

Step-by-step explanation:

No this is increasing by 1 each time and therefore it's an arithmatic sequence

Answer: √58 or about 7.6

Step-by-step explanation:

use the distance formula: √((x1 - x2)² + (y1 - y2)²)

√((3 - 0)² + (7 - 0)²)

√((3)² + (7)²)

√(9 + 49)

√58

hope this helps!

Answer:

about 7.6

Step-by-step explanation:

right on edge 2021

Answer:

whats the problem it doesnt say anything

The value of k in the relative frequency table is given as follows:

k = 11%.

From the relative frequency table given at the end of the answer, we must look at the second column.

The value on the third row is equals to the sum of the values on the first two rows, hence the expression is given as follows:

42 + k = 53.

Hence the percentage equivalent to the value of k is obtained solving the equation as follows:

k = 53 - 42

k = 11%.

The table is given by the image presented at the end of the answer.

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Answer:

The path of the soccer ball can be modeled by a parabolic equation, which can be represented as y = ax^2 + bx + c.

In this equation, y represents the height of the soccer ball, x represents the horizontal distance traveled, a represents the parabolic shape of the path, b represents the horizontal direction and c represents the initial position.

To find the equation that models the path of the soccer ball, you would need to know the values of a, b, and c. These values can be found using the information given in the problem, which is the horizontal distance traveled (80 feet) and the highest point reached (30 feet).

It can be represented as y = -(1/240)x^2 + (1/2)x + 30

In this equation, -(1/240) is the value of a, (1/2) is the value of b and 30 is the value of c.

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

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check it bro

Answer:

A (?)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

if you look at the graph the area thats purple for texas is farther up it meaning the tempature is higher.

The number of waffles can be made from 15 eggs are, 20 waffles.

the waffles can be calculates as follows

4 cups of fluor + 6 eggs +2 tbsp oil = 8 waffles

we need 6 eggs to make 8 waffles

So, the waffles can we make from 15 eggs = \(\frac{8}{6} X 15 = 20\) waffles

Hence, the number of waffles can be made from 15 eggs are 20 waffles.

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Answer:

10/3

Step-by-step explanation:

31/8= 3.8

10/3= 3.3

Answer:

-6x^2 + x + 8

Step-by-step explanation:

here's your solutio

=>-6x^2 - 1 + x + 9

=> like term will added with each other

=> - 6x^2 + x + 8

Let \(\(a\)\) and \(\(b\)\) be integers such that \(\(ab = 4\)\). We want to prove that \(\((a - b)^3 - 9(a - b) = 0\).\)

Starting with the left side of the equation, we have:

\(\((a - b)^3 - 9(a - b)\)\)

Using the identity \(\((x - y)^3 = x^3 - 3x^2y + 3xy^2 - y^3\)\), we can expand the cube of the binomial \((a - b)\):

\(\(a^3 - 3a^2b + 3ab^2 - b^3 - 9(a - b)\)\)

Rearranging the terms, we have:

\(\(a^3 - b^3 - 3a^2b + 3ab^2 - 9a + 9b\)\)

Since \(\(ab = 4\)\), we can substitute \(\(4\)\) for \(\(ab\)\) in the equation:

\(\(a^3 - b^3 - 3a^2(4) + 3a(4^2) - 9a + 9b\)\)

Simplifying further, we get:

\(\(a^3 - b^3 - 12a^2 + 48a - 9a + 9b\)\)

Now, notice that \(\(a^3 - b^3\)\) can be factored as \(\((a - b)(a^2 + ab + b^2)\):\)

\(\((a - b)(a^2 + ab + b^2) - 12a^2 + 48a - 9a + 9b\)\)

Since \(\(ab = 4\)\), we can substitute \(\(4\)\) for \(\(ab\)\) in the equation:

\(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 48a - 9a + 9b\)\)

Simplifying further, we get:

\(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 39a + 9b\)\)

Now, we can observe that \(\(a^2 + 4 + b^2\)\) is always greater than or equal to \(\(0\)\) since it involves the sum of squares, which is non-negative.

Therefore, \(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 39a + 9b\)\) will be equal to \(\(0\)\) if and only if \(\(a - b = 0\)\) since the expression \(\((a - b)(a^2 + 4 + b^2)\)\) will be equal to \(\(0\)\) only when \(\(a - b = 0\).\)

Hence, we have proved that if \(\(ab = 4\)\), then \(\((a - b)^3 - 9(a - b) = 0\).\)

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The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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The original bag had 10 + 2 = 12 ping pong balls.

Let's denote the number of ping pong balls in the original bag as "n". If we take away two balls from the bag, we will have "n-2" balls left to arrange in an equilateral triangle.

The number of balls in an equilateral triangle can be found by the formula:

Tn = (n(n+1))/2

where Tn is the nth triangular number, i.e. the sum of the first n positive integers.

For an equilateral triangle, the number of balls on each side is equal to Tn, so we have:

Tn = (n(n+1))/2

Solving for n, we get,

n^2 + n - 2Tn = 0

Using the quadratic formula, we can solve for n:

n = (-1 + sqrt(1 + 8Tn)) / 2

Now we want to find the value of n such that the difference between the number of balls in the two equilateral triangles is 11. Let's denote the number of balls in the second equilateral triangle as "m". We have:

m - Tn = 11

Using the formula for Tn, we can express m in terms of n:

m = Tn + n + 1

Substituting this expression for m into the equation above, we get:

Tn + n + 1 - Tn = 11

Simplifying, we get:

n + 1 = 11

Therefore, n = 10.

Thus, the original bag had 10 + 2 = 12 ping pong balls.

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Answer:

AB = 25 units

Step-by-step explanation:

In right triangle ACB, \( CD\perp AB\)

Therefore, by geometric mean property:

\(CD^{2} ={AD\times DB} \\ \\ {10}^{2} = AD\times 5 \\ \\ 100 = 5AD \\ \\ AD = \frac{100}{5} \\ \\ AD = 20\)

AB = AD + DB

AB = 20 + 5

AB = 25 units

Answer:

30 cm = 300 miles

15 cm = 150 miles

6 cm = 60 miles

17 cm = 170 miles

The length of maps of 300miles, 150 miles,170mile and  60 miles are 30cm ,15cm, 17cm and 6cm respectively.

A method of converting from one unit to another.

According to the given question we have

1cm = 10miles

⇒ 1mile = \(\frac{1}{10} cm\) = 0.1cm

Therefore, the length on map of

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Answer:

i think you have to explain what we did work on...

Step-by-step explanation:

Answer: just say what comes up to your head it works the best

Step-by-step explanation:

The probability is approximately 0.0682 or 6.82%.

To calculate the probability that the three marbles selected will be the same color, we need to consider the total number of possible outcomes and the number of favorable outcomes.

Total number of possible outcomes = C(12, 3) = 220

(Here, C(n, r) represents the combination of n objects taken r at a time.)

Number of favorable outcomes:

If we select 3 blue marbles, there are C(5, 3) = 10 ways to choose them.

If we select 3 white marbles, there are C(4, 3) = 4 ways to choose them.

If we select 3 red marbles, there are C(3, 3) = 1 way to choose them.

So, the total number of favorable outcomes is 10 + 4 + 1 = 15.

Therefore, the probability that the marbles selected will be the same color is:

P(Same color) = favorable outcomes / total outcomes

= 15 / 220

= 3 / 44

≈ 0.0682 (rounded to four decimal places)

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Answer:

The specific heat of the brass can be calculated using the formula:

Q = mcΔT

where Q is the heat transferred, m is the mass of the brass, c is the specific heat of the brass, and ΔT is the change in temperature.

First, calculate the heat transferred from the brass to the water:

Qbrass = mcΔT = (125 g)(c)(100 °C - 35 °C) = 9375c J

Next, calculate the heat transferred from the water to the brass:

Qwater = mcΔT = (76 g)(4.184 J/g. °C)(35 °C - 25 °C) = 3191.84 J

Since the heat lost by the brass is equal to the heat gained by the water:

Qbrass = Qwater

9375c J = 3191.84 J

c = 0.34 J/g. °C

Therefore, the specific heat of the brass is 0.34 J/g. °C.

Step-by-step explanation:

Answer:

Yes and closed interval

Step-by-step explanation:

The computation is shown below:

For the sum and the reciprocal as small as the possible equation is as follows

\(\(\frac{d}{dx}\left(x+\frac{1}{x}\right)=0.\)\)

Now take out the derivates,

So,

\(\(1-\frac{1}{x^2}=0,\)\)

or we can say that

\(\(x^2-1=0\rightarrow x=\pm1.\)\)

As the only positive number is to be determined i.e

x = 1

So this problem needed the optimization over a closed interval and the same is to be considered.

Answer:

5894 seconds

Step-by-step explanation:

Convert  1 hour 38 min 14 seconds to seconds​

1 hour = 3600 seconds

1 min = 60 seconds

38 mins = 60 x 38 = 2280 seconds

Now add all numbers together

3600 + 2280 + 14 = 5894 seconds

So, 1 hour 38 minutes 14 seconds is 5894 seconds.

The limit of (√(25x² + x) - 5x) as x approaches infinity is 0.

In mathematics, limits are used to describe the behavior of a function as its input approaches a certain value or as it approaches infinity or negative infinity. The limit of a function f(x) as x approaches a specific value, say c, represents the value that f(x) approaches as x gets arbitrarily close to c.

Limits allow us to analyze the behavior of functions near specific points, and they are essential in calculus for topics like differentiation and integration. They help us understand the continuity of functions, the existence of asymptotes, and the determination of function behavior at critical points.

Limits can be evaluated in various ways, including algebraic simplification, factoring, applying limit laws, using L'Hôpital's rule, or employing special limit formulas. However, in some cases, the limit may not exist, meaning that the function does not approach a specific value or approaches different values depending on the direction of approach. In such cases, the limit is said to be "DNE" (does not exist).

To find the limit of the expression lim x→∞ (√(25x^2 + x) - 5x), we can simplify the expression and determine its behavior as x approaches infinity.

Let's simplify the expression step by step:

lim x→∞ (√(25x² + x) - 5x)

As x approaches infinity, the x term becomes negligible compared to the x²  term within the square root. Therefore, we can ignore the x term within the square root:

lim x→∞ (√(25x²  + x) - 5x) ≈ lim x→∞ (√(25x²) - 5x)

Simplifying further:

lim x→∞ (5x - 5x) = lim x→∞ 0

The limit is equal to 0.

Therefore, the limit of (√(25x² + x) - 5x) as x approaches infinity is 0.

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