A rocketry club is holding a competition. There is cloud cover at 1000 ft that extends across the sky. The rocket is launched at an initial


velocity of 275 ft/sec from a height of 3 feet. The function models the height of the rocket in feet, 2 seconds after the rocket is launched.


14001

4373 are many fireflies do we need linear equation.

What is an explanation of a linear equation?

If each flash is 0.1 lumens, 40*10 flashes OR 400 flashes equal 40 lumens

P(X>400) = 0.7 (given information)

P(X < 400) = 0.3

P(Z < z0) = 0.3 when z0 = -1.88 (from the z-table)

z0 = -1.88 = (400 - E(X))/V(X)

= -1.88V = 400 - E

= -1.88 √(n*0.1*0.9) = 400 - n*0.1

= -1.88*0.3√n = 400 - 0.1n

= 0.1n - 0.564√n - 400 = 0

n  = 4373

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Answer: The first improvement cut the time by 32 * 0.08 = 2.56 minutes.

So, the new time after the first improvement is 32 - 2.56 = 29.44 minutes.

The second improvement cut the time by 29.44 * 0.05 = 1.472 minutes.

So, the final time is 29.44 - 1.472 = 27.968 minutes.

Rounding to the nearest minute, it now takes 28 minutes to manufacture the piece.

Step-by-step explanation:

The minimum wage set by the government at $7.50 per hour does not result in a pay cut for unskilled workers, as it is below the equilibrium wage of $8.00 per hour.

The wage rate remains unchanged, and the labor market remains in balance.

The statement is false.

False.

The equilibrium wage in the market for unskilled labor is $8.00 per hour, which means that the market naturally sets the wage rate at this level, based on the forces of supply and demand.

The government then sets a minimum wage at $7.50 per hour.

Since the minimum wage is below the equilibrium wage, it does not directly impact the wage rate for unskilled workers.
The equilibrium wage represents the point at which the supply of labor (the number of workers willing to work at a given wage) equals the demand for labor (the number of workers that employers are willing to hire at a given wage).

In this case, both workers and employers are satisfied with the $8.00 per hour wage, and the labor market is balanced.
The government sets a minimum wage below the equilibrium wage, it essentially sets a wage floor that is not binding. Employers are still willing to pay the equilibrium wage of $8.00 per hour, and workers are still willing to accept this wage.

The wage for unskilled workers remains at $8.00 per hour, and there is no pay cut of 50 cents per hour.

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Answer:

Step-by-step explanation: Negatives because a number lower than 0 go like this -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 see? so the answer is Negatives.

The sample percentage (p) represents the proportion of people in a sample who have a particular attribute or trait. The correct option is A.

The sample percentage (p) represents the proportion of people in a sample who have a particular attribute or trait. Divide the number of persons (or objects) who have the characteristic of interest by the total number of people (or items) in the sample to get the sample proportion.

Given there are 36 successful outcomes in a sample with a size of 80. Therefore, the sample proportion is,

Sample proportion = 36/80 = 0.45

Hence, the correct option is A.

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Answer: 157.5

Step-by-step explanation:

I would add 45 % again and you'd get 90 % or

150.00 the find 10 % of 75 which is 10*75/100 or 7.5

then add 150.00+ 7.5 = 157.5

Answer:

Fifth degree polynomial

Step-by-step explanation:

Given data:

e^0.3

error = 0.0001

let the function ; f(x) = e^x

note : x = 0.3

The Maclaurin polynomial f(x) = e^x = 1 + x + x^2 / 2!  + x^3/3!  ---  + ∑ x^n/n!

= 1 + 0.3 + (0.3)^2/2! + (0.3)^3 / 3! --- +  ∑ (0.3)^n/n!

Attached below is the remaining part of the solution

The observation tower is 12 yards tall

Answer:

b

Step-by-step explanation:

Answer:

m = -1/3

Step-by-step explanation:

Answer:

Following are the solution to this question:

Step-by-step explanation:

In the query, there is an error. This will find Angle YXZ and the angle YZX.  

The student said YXZ angle and YXZ angle but he said it was incorrect. I've been doing my hardest to fix it.

\(\to \sin x = \frac{\text{opposite side of x}}{hypotenuse}\\\\\to \frac{x}{2x} = \frac{1}{2}\\\\\to \sin x = \frac{1}{2}\\\\\to \sin x = \sin 30^{\circ}\\\\\to x = 30^{\circ} \\\\\to \angle YXZ = 30^{\circ}\\\\\)

\(\to \cos Z = \frac{\text{Adjacent side of z}}{hypotenuse}\\\\\to \frac{x}{2x} = \frac{1}{2}\\\\ \to \cos Z = \frac{1}{2}\\\\ \to \cos Z= \cos 60^{\circ}\\\\\to Z = 60^{\circ} \\\\ \to \angle YZX = 60^{\circ}\)

Mr. Robbin's commission rate is 15%.

A commission is a service charge assessed by a broker or investment advisor for providing investment advice or handling purchases and sales of securities for a client.

We know that:

commission = rate * sales

where "commission" is the amount earned in commission, "rate" is the commission rate, and "sales" is the total amount of sales.

In this case, we have:

commission = $31.29

sales = $208.60

Substituting these values into the formula, we get:

$31.29 = rate * $208.60

Solving for the rate, we get:

rate = $31.29 / $208.60

= 0.15 or 15%

Therefore, Mr. Robbin's commission rate is 15%.

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Answer:

Wassup, what do you need help on?

Step-by-step explanation:

Answer:

What's ya problem? What do you need help on? hahahah I'm sure you don't bite.

The graph for the linear equation y=24x, will be a straight line having coordinate (1,24) i.e. B.

What is a linear equation, exactly?

A linear equation is a first-degree algebraic equation in which each term is either a constant or the product of a constant and a single variable (degree 1). A linear equation is stated as y = mx + b, where y is the dependent variable, x is the independent variable, m is the line's slope, and b= y-intercept .

A linear equation's graph is a straight line. The line's slope decides how steep it is, and the y-intercept indicates where the line crosses the y-axis. Linear equations are used to model relationships between variables that are directly proportional to each other, such as distance and time, or cost and quantity.

Now,

Given equation is y=24x

then for  x,    y is

              1,    24

              2,   48

              3,    72

              4,     96

Hence, the graph will be as represented in option 2.

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The statement "For all integers a, b, and c, if a|bc then a|b or a|c" is false, as it does not hold true for all possible choices of a, b, and c. One counterexample to this statement is (a, b, c) = (2, 3, 4).

Here, a = 2, b = 3, and c = 4.

a|bc means "a divides bc", which is true in this case since 2 divides the product of 3 and 4. However, 2 does not divide either b or c individually, so a does not divide b or c. Therefore, the statement "if a|bc then a|b or a|c" is false for this particular choice of (a, b, c).

This counterexample shows that the statement is not true for all possible choices of a, b, and c, and therefore the statement is false. It is important to note that finding a single counterexample is enough to prove the statement false.

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As it is normally distributed, we can use Z to find the result.

Procedure

0. Finding the value of ,Z

1.2. Replacing the values given in the problem:

2. As it is normally distributed:

3. Using the normal standard table, we can conclude:

As it is asking for a percentage, we multiply by 100.

Answer: C) 84%

The frequency of scores falling into this interval is 11. Therefore, 11 students scored at least 1,800 but less than 2,000.

A frequency distribution is a way to organize and present data by grouping it into intervals or classes and showing how many observations fall into each interval.

In this case, the data given represents the raw scores of thirty students who took the SAT on the same Saturday.

To create a frequency distribution, we can group the data into classes of 1,400 up to 1,600, 1,600 up to 1,800, 1,800 up to 2,000, and so on.

To create this frequency distribution, we can use the Excel data file provided and create a histogram. The histogram will show the frequency of scores falling into each class or interval.

The interval 1,800 up to 2,000 will contain the scores 1,800, 1,810, 1,820, 1,830, 1,840, 1,870, 1,900, 1,910, 1,950, 1,950, 1,980, and 2,000.

To find how many students scored at least 1,800 but less than 2,000, we need to add up the frequencies in this interval.

In conclusion, creating a frequency distribution helps to organize and summarize data. By grouping the data into intervals or classes, we can better understand the distribution of the data and answer questions related to it.

In this case, we were able to determine how many students scored at least 1,800 but less than 2,000 by using the frequency distribution created.

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The correct answer to the question is option d) 75 PCF.

To calculate the expected vertical load, we need to consider the weight of the concrete slab and the additional load due to the concrete's temperature and pouring rate. The weight of the slab can be calculated by multiplying the density of the concrete (150 PCF) by the depth (6 inches) and the area (1 square foot). This gives us a weight of 75 pounds per square foot (PSF).

The temperature and pouring rate do not directly affect the vertical load. The temperature and pouring rate are factors that may affect the structural integrity of the slab or the time it takes for the concrete to fully cure. However, they do not contribute to the actual load borne by the slab itself. Therefore, the correct answer is 75 PCF, as it represents the weight of the concrete slab alone.

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The 2007 National Survey of Children's Health found that first-generation children had higher rates of some health conditions than second- or third-plus-generation children, but lower rates of other conditions.

The survey looked at weighted and age-standardized percent distributions of health conditions for first-, second-, and third-plus-generation children, by race/ethnicity.

The results showed that first-generation children had higher rates of allergies, asthma, and developmental problems than second- or third-plus-generation children. However, first-generation children had lower rates of overweight and obesity than second- or third-plus-generation children.

The differences in health conditions between the three generations of children were not consistent across all race/ethnic groups. For example, first-generation black children had higher rates of overweight and obesity than second- or third-plus-generation black children.

However, first-generation Hispanic children had lower rates of overweight and obesity than second- or third-plus-generation Hispanic children.

The reasons for the differences in health conditions between the three generations of children are not fully understood. However, some possible explanations include differences in access to healthcare, differences in cultural beliefs about health, and differences in socioeconomic status.

The findings of the National Survey of Children's Health suggest that it is important to consider the generation of a child when assessing their health needs.

Children from different generations may have different risk factors for certain health conditions, and they may also have different access to healthcare. It is important to provide culturally-sensitive care to all children, regardless of their generation.

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Answer:

Step-by-step explanation:

Pie (π) is an infinite decimal where it goes on forever, and numbers do not repeat in a pattern.

For these reasons, you cannot get all the numbers of pie.

EXTRA

I can provide to you with some of the digits.

3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930381964428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273724587006

Here you go!! :)

Whether the population standard deviation is known or unknown affects the expression used for the interval estimate. Hence, option c. is the right response.

The expression used to compute an interval estimate of a population parameter (such as the mean) depends on the sample size, whether there is sampling error, and whether the population has an approximately normal distribution.

However, whether the population standard deviation is known or unknown also affects the expression used for the interval estimate.

If the population standard deviation is known, a z-score can be used in the calculation, whereas if it is unknown, a t-score is used and the sample standard deviation is used as an estimate for the population standard deviation. Therefore, c is the factor that does affect the expression used for the interval estimate.

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The volume of the 'scooped' pyramid is approximately 26.6667 cubic units.

To find the volume of the 'scooped' pyramid, we first need to determine the area of its base. Since the cross-sectional area of the pyramid is x 4 at a distance x from the tip, we can assume that the area at the tip is zero. This means that the area of the base is 4 times the area at a distance of 5 from the tip (since the distance from tip to base is 5).

Therefore, the area of the base is 4x4 = 16 square units. To find the volume, we can use the formula for the volume of a pyramid, which is:

Volume = (1/3) x Base Area x Height

In this case, the height of the pyramid is 5 units. So, we can substitute the values we have:

Volume = (1/3) x 16 x 5

Volume = 26.6667 cubic units

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Answer:

Two answers possible with info given....see below

Step-by-step explanation:

Using Pythagorean theorem:

If x is a leg    then   30^2 -10^2 = x^2      x = sqrt 800

if x is hypotenuse    10^2 + 30^2 = x^2    x = sqrt 1000

Step-by-step explanation:

For any triangle, to find the missing side which in this case is x;

add all sides including the x and equate it to 180 ( sum of angles in a triangle is equal to 180, note that)

sooo...

10 + 30 + x = 180

doing the math

40 + x = 180

x = 180 - 40

x = 150°✓

Hope this helps and also you have learnt to solve it.

Good luck.

The statement "c(n, k) < c(n, k ) if and only if k < (n— 1)/2" is proven, and it is used to deduce that the maximum of function c(n, k) for k = 0, 1, ..., n is c(n, n/2).

(a) We have the formula for binomial coefficient as c(n, k) = n!/(k!(n-k)!). Then, we have

c(n, k)/c(n, k+1) = [n!/k!(n-k)!]/[n!/(k+1)!(n-k-1)!]

= (k+1)/(n-k)

Therefore, c(n, k) < c(n, k+1) if and only if (k+1)/(n-k) > 1, which is equivalent to k < (n-1)/2.

(b) Using part (a), we can see that the binomial coefficient is increasing until k reaches (n-1)/2 and decreasing thereafter. Therefore, the maximum of c(n, k) occurs when k = (n/2) or (n/2) - 1, depending on whether n is even or odd. We can write this as c(n, (n/2) + j) where j = 0 for even n and j = 1/2 for odd n.

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Answer:

Step-by-step explanation: if Peytons base pay= $60 plus she earns commission on $x (computers sold)

P= $60+ (0.025x)

You would multiply by 0.025 as this equals 2.5%

Remember PEMDAS- parentheses, exponents, multiplications, division, addition, subtraction

Answer:

353340 + x + 33

Step-by-step explanation:

real life sum situation

Answer: X= 5 ;  -11

To solve our problem lets work backwards.

x^2-6x=55. First we must subtract 55 from both sides our equation. That leaves us with x^2-6x-55=0.  

We next need to cancel out the number six. We also need to find two numbers that can be multiplied by one another to equal 55.

This would be 5 and -11. 5 and -11 can be added together to make -6, which is the negative integer for 6. They can also be multiplied together to make the negative integer of 55, which is -55.

This means that our X has two possible solutions.

Hence, X= 5 & -11

I hope this helps & Good Luck <3 !

The number of ways a six-sided die can be constructed with different markings on each side is 720.

If we have a six-sided die, each side can be marked differently with dots. This means that we can have six different options for the first side, five different options for the second side (since one of the dots has already been used), four different options for the third side (since two of the dots have already been used), three different options for the fourth side, two different options for the fifth side, and only one option left for the sixth side.
Therefore, to find the number of ways a six-sided die can be constructed if each side is marked differently with dots, we need to multiply all of these different options together. That is, we need to find the product of 6 x 5 x 4 x 3 x 2 x 1, which is equal to 720.
Therefore, there are 720 different ways that a six-sided die can be constructed if each side is marked differently with dots. This is because there are 720 different permutations of six objects, where each object can only appear once, and the order matters.

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The random sample of the students is an illustration of sampling

The chi-square test for goodness of fit is inappropriate because the variable under study is not categorical.

The dataset is given as:

Monday        34

Tuesday       29

Wednesday   32

Thursday        28

Friday             19

The variable of the above dataset is a not a categorical dataset.

One of the conditions of the chi-square test for goodness of fit test is that the variable under study must be categorical.

Hence, the chi-square test for goodness of fit is inappropriate because the variable under study is not categorical.

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