A fruit growing company claims that only 10% of their mangos are bad. They sell the mangos in boxes of 100. Let X be the number of bad mangos in a box of 100. (a) What is the distribution of X and the

Answer:

Adult tickets sold= 9x4 = 36

Senior tickets sold = 9x3= 27

Child tickets sold = 9 x 1 = 9

Step-by-step explanation:

If the parts for adult tickets changed within the 2 ratios given, we should have equated Ratio further. But here that is not 5e case. So, put both ratios together:

Senior:Adult:Child

3:4:1

Now,

Total number of parts 3+4+1=8

Number of tickets sold per part = 72/8 = 9

Therefore number of

Adult tickets sold= 9x4 = 36

Senior tickets sold = 9x3= 27

Child tickets sold = 9 x 1 = 9

Hope this helps.

Good Luck

Answer:

.

Step-by-step explanation:

Answer:

Jessica lived 10 months in Spain and 8 months in Colombia.

Step-by-step explanation:

Let x be the months Jessica spent in Spain, and y the months she spent in Colombia:

   1. x + y = 18

Using the information of words per month learned in each country, we can also write the equation:

    2. 160 * x + 200 * y = 3200

So now we have a system of two equations and two unknowns.

First we express y in terms of x, in the first equation:

We replace y in the second equation:

And solve for x:

Finally we use that value of x in the first equation and solve for y:

Jessica lived 10 months in Spain and 8 months in Colombia.

Answer:

94.5 minutes or 1 hour and 34.5 minutes

Step-by-step explanation: If it takes you 7 minutes for 2 math problems then that means it takes you 3.5 minutes for one problem. Then you multiply it by 27 and you get 94.5 minutes you can convert it into 1 hour and 34.5 minutes if you want.

The value of the infinite series as n tends to 0 is: 0

Infinite series is defined as the sum of infinitely many numbers related in a given way and listed in a given order. Infinite series are important in mathematics and in such disciplines as physics, chemistry, biology, and engineering.

From the infinite series, we want to find the value of the series as n tends to 0.

We are given the series as:

x/2ˣ

At x = 0, we have:

0/2⁰ = 0/1 = 0

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Step-by-step explanation:

Use Pythagarus theorem

17^2=15^2 +x^2

289= 225 + x^2

64=x^2

x = 8 m

After 14 days, you will have approximately $2.4414 invested in the stock market.

The amount you will have invested after 14 days can be calculated using the geometric sequence formula. The formula for the nth term of a geometric sequence is given by:

an = a1 x \(r^{(n-1)\)

Where:

an is the nth term,

a1 is the first term,

r is the common ratio, and

n is the number of terms.

In this case, the initial investment is $20,000, and each day the investment loses half of its value, which means the common ratio (r) is 1/2. We want to find the value after 14 days, so n = 14.

Substituting the given values into the formula, we have:

a14 = 20000 x\((1/2)^{(14-1)\)

a14 = 20000 x \((1/2)^{13\)

a14 = 20000 x (1/8192)

a14 ≈ 2.4414

Therefore, after 14 days, you will have approximately $2.4414 invested in the stock market.

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The amount you will have invested after 14 days is given as follows:

$2.44.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term of the sequence.

The parameters for this problem are given as follows:

\(a_1 = 20000, q = 0.5\)

Hence the amount after 14 days is given as follows:

\(a_{14} = 20000(0.5)^{13}\)

\(a_{14} = 2.44\)

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Answer:

-2x + y = -6

Answer:

B isa the answer for me it might be wrong for you or switch them

Step-by-step explanation:

Step-by-step explanation:

Line A : x + y = 2

The most likely equation for line B so that the set of equation has no solution is:  

x + y = 4

====

x + y = 2

x = 2 - y

2-y + y = 4

0 = 4 - 2

0 ≠ 2

there is no value for x nor y. so, no solution.

Answer:

Part A

x + y ≤ 460...(1)

2.5·x + 1.25·y ≥ 600...(2)

Part B

The number of bottles of water the student must sell ≥ 192 bottles of water

Step-by-step explanation:

The given parameters are;

The selling price of each can of lemonade = $2.50

The selling price of each bottle of water = $1.25

The amount of money the club needs to raise = $600

The maximum number of cans and bottles the students can accept = 460

Part A

Let 'x' represent the number of cans of lemonade the students accept, and let 'y' represent the number of bottles the student accept, the system of inequalities that can be used to represent the situation can be presented as follows;

x + y ≤ 460...(1)

2.5·x + 1.25·y ≥ 600...(2)

Part B

The number of cans of lemonade the club sells, x = 144

The number of bottles of water the student must sell to cover the cost of costumes, 'y', is given from the second inequality as follows;

2.5 × 144 + 1.25·y ≥ 600

1.25·y ≥ 600 - 2.5 × 144 = 240

1.25·y ≥ 240

y ≥ 240/1.25 = 192

y ≥ 192

The number of bottles of water the student must sell = 192 bottles of water

Answer:

135°

Step-by-step explanation:

To convert from radians to degrees

degree = radian × \(\frac{180}{\pi }\)

Thus for \(\frac{3\pi }{4}\)

degree = \(\frac{3\pi }{4}\) × \(\frac{180}{\pi }\) ( cancel the π  )

            = \(\frac{3(180)}{4}\)

            = \(\frac{540}{4}\)

            = 135°

Answer: x^4

Step-by-step explanation:

1. Rewrite the expression in fraction form:

(3√x²)^6 = x^(2/3)^6

2 is the exponent, so when written in fraction form, it is the numerator. 3 is the index or root, so in fraction form it is the denominator.

2. Solve:

x^(2/3)^6 = x^(12/3) = x^4

Because the exponent 2/3 is raised to the power of 6, you can use the power rule, which basically just means that whenever an exponent is raised to an exponent, multiply them. So, 2/3 * 6 equals 12/3, and 12/3 equals 4, making your answer x^4.

Answer:

Yes

Step-by-step explanation:

180/3 = 60

120/2 = 60

Just make it into a fraction and divide. They are driving 60 mph.

The present value of the loan is found to be  approximately $70.28.

To find the present value of a loan, we can use the formula:

Present Value = Future Value / (1 + (interest rate * time))

Given that the future value is $1,321.17, the interest rate is 7.75%, and the time is 230 days, we can plug in these values into the formula:

Present Value = 1321.17 / (1 + (0.0775 * 230))

Calculating the expression in the parentheses first:

Present Value = 1321.17 / (1 + 17.8075)

Simplifying further:

Present Value = 1321.17 / 18.8075

Evaluating the division:

Present Value ≈ $70.28

Therefore, the present value of the loan is approximately $70.28.

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The equation of the graph passing through the points (4, 2) and (6, 3) is y = 1/2x.

A horizontal line has a slope of 0. This is due to the fact that a horizontal line only experiences horizontal change; therefore, the rise (change in y) of a horizontal line is 0 and the run (change in x) is a non-zero value. The slope is (change in y)/(change in x) = 0 / non-zero value = 0, as a result.

The slope of the equation is given as:

(y - y1) = m(x - x1)

Substituting the given values of coordinates from the graph we have:

m = (3 - 2) / (6 - 4)

m = 1/2

Now, using the slope intercept form:

(y - 2) = 1/2(x - 4)

y - 2 = 1/2x - 2

y = 1/2x

Hence, the equation of the graph passing through the points (4, 2) and (6, 3) is y = 1/2x.

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Answer:

A or the first one

Step-by-step explanation:

the second graph is below 5000 so this is not right

the third graph is in the negatives so this is not right

the 4th graph is also a negative so this is not true

this only leaves the first graph

Answer:

9 units

Step-by-step explanation:

Answer:

5 meters per second

Step-by-step explanation:

average speed = total distace / total time

400 meters / 80 seconds = 5 meters per second

The minimum score that a student must obtain to be in the top 30% of students taking the national standardized examination for college admission is approximately 658.4.

To find the minimum score that a student must obtain to be in the top 30% of students taking the test, we need to find the score that corresponds to the 70th percentile of the distribution.

Using a standard normal distribution table or a calculator, we can find that the z-score corresponding to the 70th percentile is approximately 0.52.

We can use the formula for transforming a score from a normal distribution to a standard normal distribution to find the corresponding score in the original distribution:

z = (x - mu) / sigma

where z is the z-score, x is the score in the original distribution, mu is the mean of the distribution, and sigma is the standard deviation of the distribution.

Rearranging this formula, we get:

x = mu + z * sigma

Substituting the values we have, we get:

x = 510 + 0.52 * 270

x = 658.4

Therefore, to be among the top 30% of test-takers and be eligible for admission to the college, a student must score at least 658.4 on the exam.

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To collect the necessary data, you would need to gather information such as:

Demand data: Collect historical sales data to analyze patterns, seasonality, and trends in customer demand. This data helps in estimating future demand and forecasting sales.

Lead time data: Determine the time it takes for the inventory to be replenished once an order is placed. This includes gathering data on supplier lead times, shipping durations, and any potential delays.

Holding cost data: Calculate the cost of holding inventory over a specific period, considering expenses like warehousing, storage, insurance, and depreciation. This data helps in evaluating the financial impact of inventory holding.

Ordering cost data: Identify the costs associated with placing orders, such as administrative expenses, transportation costs, and any applicable fees. This information is necessary for assessing the expenses incurred when restocking inventory.

Stockout cost data: Quantify the potential costs of stockouts, including lost sales, customer dissatisfaction, and penalties for failing to meet service level agreements. Understanding the impact of stockouts assists in determining the trade-off between holding excess inventory and the risk of stockouts.

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To collect the necessary data, you would need to gather information such as:

Demand data:

Collect historical sales data to analyze patterns, seasonality, and trends in customer demand. This data helps in estimating future demand and forecasting sales.

Lead time data:

Determine the time it takes for the inventory to be replenished once an order is placed. This includes gathering data on supplier lead times, shipping durations, and any potential delays.

Holding cost data:

Calculate the cost of holding inventory over a specific period, considering expenses like warehousing, storage, insurance, and depreciation. This data helps in evaluating the financial impact of inventory holding.

Ordering cost data:

Identify the costs associated with placing orders, such as administrative expenses, transportation costs, and any applicable fees. This information is necessary for assessing the expenses incurred when restocking inventory.

Stockout cost data:

Quantify the potential costs of stockouts, including lost sales, customer dissatisfaction, and penalties for failing to meet service level agreements.

Understanding the impact of stockouts assists in determining the trade-off between holding excess inventory and the risk of stockouts.

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Answer:

1 trillion times larger

Step-by-step explanation:

One kilogram (kg) is equal to 1,000,000,000,000 (1 trillion) nanograms (ng).

Therefore, one kilogram is 1 trillion times larger than one nanogram.

Answer:

16*x*0+2*x*2*y-1=11

Step-by-step explanation:

ok so first we substitute-

16*2*0+2*2*2+4-1

=0+8+3 (order of operations)

=11

Answer:

A Mid-Segment

Step-by-step explanation:

A triangle mid-segment is a line segment whose endpoints are the midpoints of a triangle.

Hope I helped!

a. False. The notation [-4 3] represents a column vector, not another notation for the vector. b. True. The points corresponding to scalar multiples of a vector and the zero vector (origin) lie on a line through the origin. c. True. d. True. e. False.

a. The notation [-4 3] represents a column vector with two components, -4 and 3. It is not an alternative notation for another vector.

b. Given a vector, the points in the plane corresponding to scalar multiples of that vector and the zero vector form a line passing through the origin. This line is known as the span or the line of the vector.

c. A linear combination of vectors vi and v2 is obtained by multiplying each vector by a scalar, such as a1vi + a2v2. The resulting vector is a combination of the individual vectors scaled by the respective scalars.

d. The augmented matrix [a a2 a3 b] represents a linear system of equations. The solution set of this system is the same as the solution set of the equation xa1 + x2a2 + x3a3 = b. The augmented matrix notation is a convenient way to represent a system of equations.

e. The set Span {u, v} represents all possible linear combinations of vectors u and v. Depending on the vectors, the span may be a line, a plane, or even higher-dimensional spaces. It does not always have to pass through the origin, so it is not always visualized as a plane through the origin.

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Answer:

You didn'ttell us the question

Step-by-step explanation:

where is the question?

Subtract 4 from both sides of the equation, then subtract f from both sides and divide both sides by -7/2 to solve for f.

In order to solve for f, the equation must be manipulated to isolate it on one side of the equation. To do this, the equation must be manipulated algebraically. First, subtract 4 from both sides of the equation. This will move the constant part to the other side of the equation, leaving only the f on the left side. Then, subtract f from both sides, which will move the f to the other side and leave only the constant on the left side. Finally, divide both sides of the equation by -7/2. This will move the coefficient of f to the other side and will leave only f on one side of the equation, thus isolating it. The resulting answer is f=1. This process of manipulating the equation algebraically is called solving the equation for f.

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The plan that is most useful for demonstrating a new technology or service or to reach a market that is widely spread out is a proof-of-concept website

The statement about the market section of the classic business plan that is not true is that some people prefer to relocate the competition and competitive advantage section from the market section to the industry section.

A critical risk to the success of your business plan is Overlooked competition.

The pitch deck categories that is sometimes given in the form of a user's experience is Problem slide.

There are two goals you can seek in the "ask" of your elevator pitch. One is to build your network and the other is to get the listener to Make a micro-commitment

A good marketing strategy is most likely to focus on the longer-term competitive plan.

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There are \(\binom{52}4\) ways of drawing a 4-card hand, where

\(\dbinom nk = \dfrac{n!}{k!(n-k)!}\)

is the so-called binomial coefficient.

There are 13 different card values, of which we want the hand to represent 4 values, so there are \(\binom{13}4\) ways of meeting this requirement.

For each card value, there are 4 choices of suit, of which we only pick 1, so there are \(\binom41\) ways of picking a card of any given value. We draw 4 cards from the deck, so there are \(\binom41^4\) possible hands in which each card has a different value.

Then there are \(\binom{13}4 \binom41^4\) total hands in which all 4 cards have distinct values, and the probability of drawing such a hand is

\(\dfrac{\dbinom{13}4 \dbinom41^4}{\dbinom{52}4} = \boxed{\dfrac{2816}{4165}} \approx 0.6761\)