Please help!

Given that the glass can hold a maximum volume of 60 cm3, what is the height of the glass? Round to the nearest tenth of a centimeter.

Answer:

a

   The  percentage is

            \(P(x_1 < X < x_2 ) = 51.1 \%\)

b

   The probability is  \(P(Z > 2.5 ) = 0.0062097\)

Step-by-step explanation:

From the question we are told that

        The  population mean is  \(\mu = 800\)

        The  variance is  \(var(x) = 1600 \ kg\)

        The  range consider is  \(x_1 = 778 \ kg \ x_2 = 834 \ kg\)

         The  value consider in second question is  \(x = 900 \ kg\)

Generally the standard deviation is mathematically represented as

        \(\sigma = \sqrt{var (x)}\)

substituting value

        \(\sigma = \sqrt{1600}\)

       \(\sigma = 40\)

The percentage of a cucumber give the crop amount between 778 and 834 kg  is mathematically represented as

       \(P(x_1 < X < x_2 ) = P( \frac{x_1 - \mu }{\sigma} < \frac{X - \mu }{ \sigma } < \frac{x_2 - \mu }{\sigma } )\)

    Generally  \(\frac{X - \mu }{ \sigma } = Z (standardized \ value \ of \ X)\)

So

      \(P(x_1 < X < x_2 ) = P( \frac{778 - 800 }{40} < Z< \frac{834 - 800 }{40 } )\)

      \(P(x_1 < X < x_2 ) = P(z_2 < 0.85) - P(z_1 < -0.55)\)

From the z-table  the value for  \(P(z_1 < 0.85) = 0.80234\)

                                            and \(P(z_1 < -0.55) = 0.29116\)  

So

             \(P(x_1 < X < x_2 ) = 0.80234 - 0.29116\)

             \(P(x_1 < X < x_2 ) = 0.51118\)

The  percentage is

            \(P(x_1 < X < x_2 ) = 51.1 \%\)

The probability of cucumber give the crop exceed 900 kg is mathematically represented as

             \(P(X > x ) = P(\frac{X - \mu }{\sigma } > \frac{x - \mu }{\sigma } )\)

substituting values

             \(P(X > x ) = P( \frac{X - \mu }{\sigma } >\frac{900 - 800 }{40 } )\)

             \(P(X > x ) = P(Z >2.5 )\)

From the z-table  the value for  \(P(Z > 2.5 ) = 0.0062097\)

A value of a that would make the expression 5 1/3 ÷ 4/a equivalent to a whole number include the following: C. 9.

In order to use the given expressions to determine the value of a (a-value) that makes the expression equivalent to a whole number, we would have to substitute the values of a (a-value or domain) into each of the expressions and then evaluate as follows;

First of all, we would re-write the mixed fraction as an improper fraction and then evaluate the given expression;

16/3 ÷ 4/a

16/3 × a/4

When a = 5, we have the following:

16/3 × a/4

16/3 × 5/4 = 20/3 (not a whole number).

When a = 7, we have the following:

16/3 × a/4

16/3 × 7/4 = 28/3 (not a whole number).

When a = 5, we have the following:

16/3 × a/4

16/3 × 9/4 = 36/3

36/3 = 12 (a whole number).

When a = 11, we have the following:

16/3 × a/4

16/3 × 11/4 = 44/3 (not a whole number).

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Complete Question:

Which value of a would make the expression 5 1/3 ÷ 4/a equivalent to a whole number?

5

7

9

11

Answer:

45oz

Step-by-step explanation:

We can find the ratio of white to blue paint he needs by dividing.

10 / 4 = 2.5oz of blue paint for every ounce of white paint

Now, we can multiply to find how much blue paint he needs.

18 * 2.5 = 45oz

Best of Luck!

Yes, the equation y = 5x represents direct proportion.

In Mathematics, a proportional relationship produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

In order to have a proportional relationship, the variables representing the each of the quantities must have the same constant of proportionality:

Constant of proportionality, k = y/x

Constant of proportionality, k = 5/1

Constant of proportionality, k = 5.

In conclusion, we can logically deduce that the given equation represents direct proportion.

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Complete Question:

Does this equation represent direct proportion?

y = 5x

Answer:

4-5 12 -13

Step-by-step explanation:

Answer:

(-11 + √165) / 22

Step-by-step explanation:

∑₂°° (1 + c)⁻ⁿ

= ∑₂°° (1 / (1 + c))ⁿ

= ∑₁°° (1 / (1 + c))ⁿ⁺¹

This is a geometric series with a₁ = 1/(1+c)² and r = 1/(1+c).

The sum of an infinite geometric series is:

S = a₁ / (1 − r)

Therefore:

11 = 1/(1+c)² / (1 − 1/(1+c))

11 = 1 / ((1+c)² − (1+c))

11 ((1+c)² − (1+c)) = 1

11 (1 + 2c + c² − 1 − c) = 1

11 (c + c²) = 1

11c² + 11c − 1 = 0

c = [ -11 ± √(11² − 4(11)(-1)) ] / 22

c = (-11 ± √165) / 22

c cannot be between -2 and 0, so c = (-11 + √165) / 22.

The input value of (x - 2) into the given quadratic equation f(x) is gotten as; f(x - 2) = 4x² - 22x + 28

We are given the quadratic equation expressed as;

f(x) = 4x² - 6x

Now, we want to find f(x - 2)

What this means is that we will put x - 2 for the value of x in the given quadratic equation to get;

f(x - 2) = 4(x - 2)² - 6(x - 2)

f(x - 2) = 4(x² - 4x + 4) - 6x + 12

f(x - 2) = 4x² - 16x + 16 - 6x + 12

f(x - 2) = 4x² - 22x + 28

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Plane ADF is another way to label Plane J.

In order to determine which of the given options is another way to label Plane J, we need to first identify the key characteristics of Plane J.

These characteristics are its points, lines, and planes that it contains. We can then use these characteristics to compare and match them with the given options.

Here are the key characteristics of Plane J: Points: J, A, D Lines: JA, JD, AD Planes: Plane J Now let's examine each option to see which one matches the characteristics of Plane J: Option A: Plane h This option is not a match since Plane h is not one of the planes that contain the points J, A, and D.

Option B: Plane ABD This option is not a match since Plane ABD contains points A, B, and D but not point J.

Option C: Plane EFG This option is not a match since Plane EFG contains points E, F, and G but not point J.

Option D: Plane ADF This option is a match since Plane ADF contains points A, D, and F which are all points that are contained in Plane J.

Therefore, Plane ADF is another way to label Plane J.

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Answer:

First and last

Step-by-step explanation:

Find the what will multiple to the last number and add to the second number.

The set of values that we are permitted to enter into our function is referred to as the domain of a function. The x values for a function f make up this collection (x). A function's range is the range of values that it can accept as input. When we enter an x value, the function outputs this set of outcomes.

(a) f - {1 2 3 4 5} -> {1 2 1 2 1}

This function is neither injective nor surjective. It is not injective because f(1) = f(3) = f(5) = 1, and it is not surjective because 2 is not in the range.

(b) f - {1 2 3 4 5} -> {1 2 3 1 2}

This function is neither injective nor surjective. It is not injective because f(1) = f(4) and it is not surjective because 3 is not in the range.

(c) f(x) = { x if x < 3, x - 3 if x > 3}

This function is both injective and surjective, and hence bijective. It is injective because each element in the domain maps to a unique element in the codomain, and it is surjective because every element in the codomain is mapped to by at least one element in the domain. Hence, this function is bijective.

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Tο summarize, here are the classificatiοns fοr each functiοn:

(a) f(x) = {1 2 1 2 1} is neither injective nοr surjective.

(b) f(x) = {1 2 3 1 2} is neither injective nοr surjective.

(c) f(x) = { x if x < 3 x -3 if x > 3 } is neither injective nοr surjective.

In mathematics, a functiοn definitiοn is a statement that defines a relatiοnship between input values (called the dοmain) and οutput values (called the cοdοmain οr range). A functiοn takes an input value and prοduces a unique οutput value based οn a certain rule οr algοrithm.

(a) The functiοn is neither injective nοr surjective. It is nοt injective because bοth 1 and 2 are mapped tο 1, sο there are multiple inputs that map tο the same οutput. It is nοt surjective because the οutput 3 is never used.

(b) The functiοn is neither injective nοr surjective. It is nοt injective because bοth 1 and 2 are mapped tο the οutput 1, sο there are multiple inputs that map tο the same οutput. It is nοt surjective because the οutput 3 is never used.

(c) The functiοn is neither injective nοr surjective. It is nοt injective because bοth 3 and 4 are mapped tο the οutput 0, sο there are multiple inputs that map tο the same οutput. It is nοt surjective because the οutput 1 is never used.

Hence,

Tο summarize, here are the classificatiοns fοr each functiοn:

(a) f(x) = {1 2 1 2 1} is neither injective nοr surjective.

(b) f(x) = {1 2 3 1 2} is neither injective nοr surjective.

(c) f(x) = { x if x < 3 x -3 if x > 3 } is neither injective nοr surjective.

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Answer:

received a refun

Step-by-step explanation:

They will need to get refund based on the information given because I don't see any data to work with here

A statistical question that can result in numerical data is How many times did you go swimming this year? So, the correct option is A).

The statistical question that can result in numerical data is "How many hours this week did you spend on homework?" and "How many times did you go swimming this year?".

These questions involve counting or measuring quantities, which can be represented using numerical data. The other two questions do not involve numerical data and therefore cannot be considered statistical questions that result in numerical data. So, the correct answer is B).

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Answer:

How many pink erasers do the students in your class have?

The probability is closer to one than zero.

Probability theory is used to analyze and predict the likelihood of events happening in various fields such as statistics, gambling, physics, finance, and more. It allows us to make informed decisions based on the likelihood of different outcomes. In probability theory, the total number of possible outcomes is important to determine the probability of a single event occurring. By comparing the favorable outcomes to the total outcomes, we can calculate the probability of an event happening.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.For example, when we toss a coin, either we get Head OR Tail, only two possible outcomes are possible (H, T). But when two coins are tossed then there will be four possible outcomes,  i.e {(H, H), (H, T), (T, H), (T, T)}.

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Tyler will need a amount of  79,200 grams (or 79.2 kilograms) of glitter to cover the prism completely.

To calculate the amount of glitter needed to cover the prism completely, we first need to find the total surface area of the prism.

The prism consists of five faces: two rectangular faces with dimensions 18 m x 10 m, two triangular faces with base 18 m and height 10 m, and one rectangular face with dimensions 18 m x 25 m.

The total surface area of the prism can be calculated by adding the areas of all the faces together:

Total Surface Area = 2(18 m x 10 m) + 2(0.5 x 18 m x 10 m) + 18 m x 25 m

Total Surface Area = 360 m² + 180 m² + 450 m²

Total Surface Area = 990 m²

Given that 80 g of glitter is needed to cover each m², we can now calculate the total amount of glitter needed:

Total Glitter = Total Surface Area x Glitter per m²

Total Glitter = 990 m² x 80 g/m²

Total Glitter = 79,200 g

Therefore, Tyler will need 79,200 grams (or 79.2 kilograms) of glitter to cover the prism completely.

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The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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The equation of the line in slope-intercept form is y = 3x + 4.

We can use the combination formula to determine how many different packages can be created from a set of 24 crayons with 36 different colours.

The formula for the mixture is provided by:

n C r equals n!/r! (n-r)!

where r is the number of items we want to choose, n is the total number of items, and! stands for the factorial of a number, which is the sum of all positive integers up to that number.

In this instance, we are trying to determine how many various methods there are to choose 24 crayons from a set of 36 colours, regardless of the sequence in which they are chosen. Consequently, we can apply the following combination formula:

36 C 24 = 36! / (24! * 12!)

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By first method, he volume of the rectangular prism is (9/32) cubic feet.

By second method, the volume of the rectangular prism is (27/64) cubic feet, which agrees with the volume calculated using the first method.

Volume is a measurement of the amount of space that an object occupies. It is the three-dimensional space occupied by an object. Volume is typically measured in cubic units such as cubic meters, cubic centimeters, cubic feet, and so on.

We can determine the volume of the rectangular prism in two different ways using the formula:

Volume = Length x Width x Height

First Method:

In the first method, we simply substitute the given dimensions of the rectangular prism into the formula and calculate the volume:

Volume = (3/4) ft x (3/8) ft x (3/4) ft

Volume = (9/32) ft³

Second Method:

In the second method, we can use the fact that the rectangular prism can be divided into 4 smaller rectangular prisms, each with dimensions (3/4) ft x (3/8) ft x (3/16) ft. We can calculate the volume of one of these smaller prisms and then multiply by 4 to get the total volume:

Volume of one smaller prism = (3/4) ft x (3/8) ft x (3/16) ft

Volume of one smaller prism = (27/256) ft³

Total volume = 4 x Volume of one smaller prism

Total volume = 4 x (27/256) ft³

Total volume = (27/64) ft³

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The algebraic expression is x - 16/ 7. Option B

An algebraic expression is a mathematical statement containing a combination of numbers, symbols, variables and mathematical operators such as addition, subtraction, multiplication, division, etc.

From the information given, we have to find the algebraic expression for the statement  "the quotient of 16 and 7 less than x"

It could be represented thus;

x - 16/ 7

We can see that the algebraic expression is represented as x - 16/ 7

Hence, the algebraic expression is x - 16/ 7. Option B

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A normal distribution has a mean of 50 and a standard deviation of 3 , the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241  option a) 0.025.

In probability theory, normal distribution is also known as Gaussian distribution. It is a probability distribution that is symmetrical, bell-shaped, and a continuous probability distribution. It's also a part of continuous probability distribution that describes real-valued random variables whose probability density function is affected by two parameters: the mean μ and the variance σ².

Let us consider the problem. Suppose a normal distribution has a mean of 50 and a standard deviation of 3. Firstly, we need to standardize the random variable X that is to convert it to the standard normal distribution. We use the following formula for this Z = (X - μ) / σwhere X is the random variable and μ is the mean, σ is the standard deviation of the population.

So in this case, we can write this as Z = (44 - 50) / 3 = -2

We have now obtained the standard score or standard deviation for the random variable X.

Now we need to calculate the probability P(X ≤ 44) = P(Z ≤ -2).

The probability of Z being less than -2 is denoted by the area under the standard normal curve to the left of Z = -2.

Using the standard normal table we look for the probability that corresponds to -2 and the closest we find is 0.0228.

This probability represents the area under the standard normal distribution to the left of Z = -2.

To calculate the area to the left of Z = -2, we add the area to the left of the next integer, which is -3, which we find from the standard normal table as 0.0013, 0.0228 + 0.0013 = 0.0241.

Therefore, the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241 or 0.025 (rounded to three decimal places)Therefore, the answer is option A. 0.025.

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A table representing the transactions based on the question prompt is given below:

Date Transaction Type Check No. Description Debit (-) Credit (+) Balance

10/01 Starting Balance - - - - $1,863.90

10/03 Check 621 Telephone Company $71.10 - $1,792.80

10/07 Check 622 Banner Reality (Rent) $500.00 - $1,292.80

10/08 Check 623 Electric Company $51.12 - $1,241.68

10/10 Check 624 Cathy Santoro (Piano) $25.00 - $1,216.68

10/15 Deposit - Paycheck - $650.00 $1,866.68

10/16 Check 625 Don's Day Camp $200.00 - $1,666.68

10/18 Check 626 Ed's Sporting Goods $90.00 - $1,576.68

10/21 Check 627 Maple Place Garage $49.00 - $1,527.68

11/15 Deposit - Paycheck - $400.00 $1,927.68

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Answer:

\(w \leq 1.9\)

Step-by-step explanation:

The picture itself measures 6" by 8". Therefore, the area is 6 * 8 = 48 square inches.

All of the pieces of wood have the same width, and we know that two of them will be 6 inches long and two will be 8 inches long.

Therefore, the combined area of the pieces of wood will be 2 * 6w and 2 * 8w. This gives us 12w + 16w.

Now we can set up an inequality:

48 (area of picture) + 12w + 16w <= 100 (maximum area).

Simplify the left side of the equation to give us this:

\(48+28w\leq 100.\)

We can move the 48 over to the other side to get \(28w \leq 100 - 48\), which simplifies to \(28w \leq 56\). Now, you just have to divide both sides by 28 to get \(w\leq 1.857\).

Rounding to the nearest tenth of an inch gives us 1.9 as the maximum width of the pieces of wood.

B

Step-by-step explanation:

calculate how long the lines are

Answer:

A 3-column table with 4 rows. Column 1 is labeled Number of Girls with entries 2, 8, 0, 4. Column 2 is labeled Height in Inches with entries 51, 52, 53, 54. Column 3 is labeled Total Height with entries 102, 416, 0, 216. The national average height for girls in the sixth grade is also 52 inches. Find the average height of the girls in this class. The total number of girls is . The total height of the girls is inches. The expression to find the mean is . The average height of the girls in this class is inches.

Step-by-step explanation:

mark me brainliest ok

Answer:

48

Step-by-step explanation:

multiply the length value by 12

the length is 4ft so you multiply it by 12

so

4×12=48

so the answer is 48

Answer:

5.25%

Step-by-step explanation:

this question is asking '1.05 is what percent of 20'?

you can use the proportion:  is/of = percent/100

the 'is' = 1.05

the 'of' = 20

'what percent' = x/100

1.05/20 = x/100

cross-multiply to get:

20x = 105

x = 5.25

Answer:

9.3 hrs to finish

Step-by-step explanation:

(10.5 - 2.75)ft / (5/6 ft/hr) = 9.3 hrs to go

To solve the inequality 2/3k - 6 < 24, we can start by adding 6 to both sides of the inequality:

2/3k - 6 + 6 < 24 + 6

Simplifying the left side gives:

2/3k < 30

To isolate k, we can multiply both sides by 3/2:

2/3k * 3/2 < 30 * 3/2

Simplifying the left side gives:

k < 45

Therefore, the inequality 2/3k - 6 < 24 expressed in its simplest form is k < 45.

Answer:

In that one week, his commision was $896, over all 52 weeks, he made $46592

Step-by-step explanation:

So, he makes 14% commision on any stock he sells. This week, he sold $6,400 worth of stocks, and, hes going to make 14% on it. So, take 6400 and divide that by 14%, and what do you get? $896! So, he made $896 that week. Now, say he made that amount EVERY WEEK. so, all you have to do is know how many weeks are in a year (52) and multiply that by 896, which gives you 46592.

The used values are;

p = $10,000

r = 3.3%

n = 9 years

And, The amount after 9 years will be $14,593.

What is Simple interest?

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Given that;

A bank features a savings account that has an annual percentage rate of r = 3.3% with interest compounded quarterly.

And, Maia deposits $10,000 into the account.

Now,

Since, The interest rate is for compounded quarterly.

So, The used formula is,

⇒ \(A = P (1 + \frac{r}{4} )^n^t\)

Here, P = $10,000

r = 3.3% = 0.033

n = 4

t = 9

Substitute all the values, we get the amount after 9 years,

⇒ \(A = P (1 + \frac{r}{4} )^n^t\)

⇒ A = $10,000 (1 + 0.033/4)³⁶

⇒ A = $10,000 (1 + 0.008)³⁶

⇒ A= 10,000 × (1.008)³⁶

⇒ A = 10,000 x 1.45

⇒ A = $14,593

Thus, The amount after 9 years will be $14,593.

Therefore, The used values are;

p = $10,000

r = 3.3%

n = 9 years

And, The amount after 9 years will be $14,593.

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Answer:

B

Step-by-step explanation:

The naswer is X=<-5 Or X=-5,

A sentence having two inequality statements connected by the words "or" or "and" is referred to as a compound inequality.

We look at the graphs of each inequality, identify the integers that correspond to either graph, then add all those numbers up to determine the compound inequality's solution. We frequently use the union symbol,, to represent the union of the solutions presented in the graphs when writing the solution in interval notation.

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