according to the u.s. census, the average adult woman is the united states is 65 inches tall and the standard deviation is 3 inches. what percentage of american women are taller than zsike?

The 3rd option is correct.

The range refers to the y-values so the multiple choice answer is restricted to the 1st and 3rd options. The range of the step function is not continuous, it is only the discrete values {-3, 2, 5}.

Answer:

He is not correct

there is no value of n that satisfies the condition of having a probability of 5 or more defective items in an approved batch less than 90%.

To approximate the value of n such that the probability of having 5 or more defective items in an approved batch is less than 90%, we can use the binomial distribution.

Let X be the number of defective items in the selected n items. Since each item has a probability of 0.1 of failing the quality control test, we have a binomial distribution with parameters n and p = 0.1.

We want to find the smallest value of n such that P(X ≥ 5) < 0.90.

Using the binomial probability formula:

P(X ≥ 5) = 1 - P(X < 5)

= 1 - [P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)]

Using a calculator or software, we can calculate the individual probabilities:

P(X = 0) ≈ 0.531

P(X = 1) ≈ 0.387

P(X = 2) ≈ 0.099

P(X = 3) ≈ 0.018

P(X = 4) ≈ 0.002

Summing up these probabilities:

P(X < 5) ≈ P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) ≈ 0.531 + 0.387 + 0.099 + 0.018 + 0.002 ≈ 1

So, P(X ≥ 5) ≈ 1 - 1 = 0.

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Answer:

c

Step-by-step explanation:

it's 12x2 divided by 3

Answer:

c multiply by 2 divide by 3

Step-by-step explanation:

think of 12 as 12/1

multiply the numbers

it will be 24/3

divide

you get 8

Answer:

Wheres the graph/question?

Step-by-step explanation:

The cost of the apples is 2.9 dollars.

The cost of the bananas is 5.7 dollars.

The total cost is 6 dollars, each apple cost $1.50 each banana cost $.30 and there’s two more bananas then apples.

Therefore,

let

x = number of apples

y = 2x

where

Therefore, using equations,

1.5(x) + y(0.30) = 6

Hence,

where

y = 2x

1.5(x) + 2x(0.30) = 6

1.5x + 0.6x = 6

2.1x = 6

divide both sides by 2.1

x = 6 / 2.1

x = 2.9 dollars

y = 2(2.9) = 5.7 dollars

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Answer:

1496

Step-by-step explanation:

Solve the equation and simplify

Answer: first one is subtract by 7 and the second step is to divide by 10.

Step-by-step explanation:

hope it helped

Answer:

WHat he said ;D

GL <3

(it was correct if u wanna kno!)

GL AGAIN XD :D

Answer:

D is a perfect square

Step-by-step explanation:

a perfect square is a squared number that has a square root of an even number like sqrt(64) = 8 and 8 is an even number making it a perfect square

Both drivers have the same time arrived , the driver on the right has the right of way because they have traveled a greater distance.

The driver on the right if both drivers arrive at the same time can be determined using the following formula:

Right of Way = (Distance Traveled) + (Time Arrived)

In this case, the driver on the right will have traveled the greater distance and arrived at the intersection first, thus giving them the right of way.

To calculate the distance traveled and time arrived for each driver, we can use the following formula:

Distance Traveled = (Speed) x (Time)

Time Arrived = (Distance Traveled) ÷ (Speed)

For example, if one driver is traveling at a speed of 30 mph and the other driver is traveling at a speed of 40 mph, we can calculate the distance traveled and time arrived for each driver:

Driver 1:

Distance Traveled = (30 mph) x (10 min) = 300 miles

Time Arrived = (300 miles) ÷ (30 mph) = 10 min

Driver 2:

Distance Traveled = (40 mph) x (10 min) = 400 miles

Time Arrived = (400 miles) ÷ (40 mph) = 10 min

Since both drivers have the same time arrived (10 min), the driver on the right has the right of way because they have traveled a greater distance (400 miles vs. 300 miles).

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Sean and his six companions will each receive 1/7 of the original action figures.

Let's assume Sean originally had x action figures. After donating some, he has 1/3 of them left, which is (1/3)x.

To find out how many action figures Sean has left, we can use the equation:

(1/3)x = x - y

where y is the number of action figures Sean donated.

Simplifying this equation, we get:

y = (2/3)x

Now, Sean wants to share his remaining action figures with 6 friends, so they will split the total number of action figures into 7 equal parts (Sean + 6 friends).

Therefore, each person will get 1/7th of the total number of action figures.

To find out what fraction of the original action figures each person will get, we need to divide the number of action figures each person will get by the original number of action figures (x):

1/7 = \(\frac{[(\frac{1}{3} )x - y]}{x}\)

Substituting y = (2/3)x, we get:

1/7 = \(\frac{[(\frac{1}{3} )x - (\frac{2}{3} )x]}{x}\)

1/7 = (1/3)

Therefore, each person will get 1/7th of the original number of action figures.

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The measure of the length BP and BC are 6 and 10 respectively

The given figure is a circle containing two chords AD and BC. From the given diagram, the following are true

AP = PC

BP = PD

BC = BP + PC

Circle theorem includes the concept of tangents, sectors, angles, the chord of a circle and proofs. A circle is the locus of all points in a plane which are equidistant from a fixed point.

Given the following parameters

AP = 3.5,

PD = 6,

PC = 4

According to the expression above;

BP = PD = 6

BC =  BP + PC

BC = 6 + 4

BC = 10
Hence the measure of the length BP and BC are 6 and 10 respectively

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According to the rules of significant figures:



1.25 × 200 = 300

the answer is

TRue

Answer:

\(37.7\ \text{foot}\)

Step-by-step explanation:

The length of the edging will be equal to the circumference of the circular flower garden.

Here, the diameter of the circular garden is \(d=12\ \text{foot}\)

Circumference of a circle is given by

\(C=\pi d\\\Rightarrow C=3.14\times 12\\\Rightarrow C=37.68\approx 37.7\ \text{foot}\)

The length of the edging is \(37.7\ \text{foot}\).

Answer:

x = 25 degrees

Step-by-step explanation:

The sum of the angles of a triangle is always 180 degrees. Therefore, in a triangle with one angle measuring 130 degrees, the measures of the other two angles must add up to 180-130 = 50 degrees.

So, if the measures of the other two angles are x, the equation would be:

x + x = 50

This means that the measure of each angle is 50/2 = 25 degrees.

Therefore, in a triangle with one angle measuring 130 degrees, the measures of the other two angles are both 25 degrees.

A term is a constant, a variable, or a number-variable product.

In algebra, a symbol (usually a letter) used to indicate an unknown numerical value in an equation or algebraic statement. A variable is a quantity that is changeable rather than fixed. In mathematics, a variable is an alphabet or phrase that represents an unknown amount, unknown value, or unknown number. Variables are very useful in algebraic expressions or algebra. As an example, the variables x and 9 are constants in the linear equation x+9=4.

A term can be a number, a constant, a variable, or the product of a number and a variable in this context.

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The given limit can be expressed as the definite integral: lim (n→∞) n ∑(i=1 to n) i⁶/n⁷ = ∫[1/n, 1] x⁶ dx

To express the given limit as a definite integral, we need to determine the appropriate function f(x) and the integration limits b and 1.

Let's start by rewriting the given limit:

lim (n→∞) (1/n) ∑(i=1 to n) \(i^6/n^7\)

Notice that the term i⁶/n⁷ can be written as (i/n)⁶/n.

Therefore, we can rewrite the above limit as:

lim (n→∞) (1/n) ∑(i=1 to n) (i/n)⁶/n

This can be further rearranged as:

lim (n→∞) (1/n^7) ∑(i=1 to n) (i/n)⁶

Now, let's define the function f(x) = x⁶, and rewrite the limit using the integral notation:

lim (n→∞) (1/n^7) ∑(i=1 to n) (i/n)⁶ = ∫[a,b] f(x) dx

To determine the integration limits a and b, we need to consider the range of values that x can take. In this case, x = i/n, and as i varies from 1 to n, x varies from 1/n to 1. Therefore, we have a = 1/n and b = 1.

Hence, the given limit can be expressed as the definite integral:

lim (n→∞) n ∑(i=1 to n) i⁶/n⁷ = ∫[1/n, 1] x⁶ dx

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Based on the information provided, we can determine that the box contains 800 golf balls, but we do not know how many of them are white and how many are purple.

Therefore, we cannot determine the probability of selecting a purple golf ball from the box without additional information. However, we can make some general statements about the sampling process. Since each student selects a random sample of 20 golf balls and returns them to the box, the sampling process is with replacement. This means that the probability of selecting a purple golf ball on any given trial is the same as the overall proportion of purple golf balls in the box. If we knew the proportion of purple golf balls in the box, we could use this information to estimate the expected number of purple golf balls in a sample of 20, or the probability of selecting a certain number of purple golf balls in a sample of 20. Without this information, we cannot provide more specific answers to questions about the sampling process.

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Answer:

5/12

Step-by-step explanation:

Assuming that you are referring to 6/12 and 1/12.

6/12 - 1/12 = 5/12

6         1     =  5

-     -    -        ---

12       12    = 12

Michelle used 5/12 more salt.

The required correct option is b. 2X₁ + 3X₂ ≤ 10000.

Let X₁ be the number of units of regular produced per month and X, represent the number of units of super-soaker produced per month. Since the total amount of recycled paper available per month is 10,000, the appropriate constraint is 2X₁ + 3X₂ ≤ 10000. Hence, the correct option is b. 2X₁ + 3X₂ ≤ 10000.

Explanation:Let X₁ be the number of units of regular produced per month and X, represent the number of units of super-soaker produced per month.The total amount of recycled paper available per month is 10,000.Regular uses 2 units of recycled paper per unit of productionSuper-soaker uses 3 units of recycled paper per unit of production.To calculate the amount of recycled paper required for regular production, we multiply the total units of regular with the number of recycled papers required for production. Hence, the amount of recycled paper required for regular production = 2X₁.The amount of recycled paper required for super-soaker production is 3X₂.

In this case, the constraint's will be 2X₁ + 3X₂ ≤ 10000.

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Therefore, XYZ Inc. cannot use more than 10,000 units of recycled paper per month for the production of paper towels.

Thus, the answer is b. 2X₁ + 3X₂ ≤ 10000.

The appropriate constraint's equation for XYZ Inc.'s production of regular and super-soaker paper towels using 2 and 3 units of recycled paper per unit of production respectively is

2X₁ + 3X₂ ≤ 10000.

XYZ Inc. produces two types of paper towels, which are known as regular and super-soaker.

Each unit of regular paper towels requires 2 units of recycled paper per unit of production.

On the other hand, each unit of super-soaker paper towels requires 3 units of recycled paper per unit of production.

The total amount of recycled paper available for production per month is 10,000 units.

Let X₁ denote the number of regular paper towel units produced per month and X₂ represent the number of super-soaker paper towel units produced per month.

The appropriate constraint equation is

2X₁ + 3X₂ ≤ 10000 because the total amount of recycled paper available per month is 10,000.

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Answer:

9 hours and 30 mins

Step-by-step explanation:

Betsy works for about 9 hours 30 minutes daily.

What are mathematics operations?

A mathematical operation is a function that converts a set of zero or more input values (also called "b" or "arguments") into a defined output value. The number of operands determines the operation's arity. Most commonly studied operations are binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive and multiplicative inverses.

• Zero-arity operations, or nullary operations, are constants, and mixed products are arity three operations, or ternary operations.

Calculating time of Betsy total work for getting paid :

Betsy Working from 6:00 AM to 12:00 PM =  6 hour

Betsy takes an unpaid lunch break from 12:00 PM to 1:00pm = 1 hour

Betsy Working from  1:00 PM to 3:30 PM =  2.5 hour

Now adding-up all the time = 6 + 1 +  2.5 hour = 9.5 hours or 9 hours 30 minutes.

Therefore,  Betsy works for about 9 hours 30 minutes daily.

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The division of 6x⁴ + 11x³ + 13x² - 3x + 27 by 3x + 4 will have a quotient of 2x³ + x² +3x -5 and a remainder of 47 using the remainder theorem.

The remainder theorem states that if a polynomial say f(x) is divided by x - a, then the remainder is f(a).

We shall divide the 6x⁴ + 11x³ + 13x² - 3x + 27 by 3x + 4 as follows;

x⁴ divided by 3x equals 2x³

3x + 4 multiplied by 2x³ equals 6x⁴ + 8x³

subtract 6x⁴ + 8x³ from 6x⁴ + 11x³ + 13x² - 3x + 27 will give us 3x³ + 13x² - 3x + 27

3x³ divided by 3x equals x²

3x + 4 multiplied by x² equals 3x³ + 4x²

subtract 3x³ + 4x² from 3x³ + 13x² - 3x + 27 will give us 9x² - 3x + 27

9x² divided by 3x equals 3x

3x + 4 multiplied by 3x equals 9x² + 12x

subtract 9x² + 12x from 9x² - 3x + 27 will give us -15x + 27

-15x divided by 3x equals -5

3x + 4 multiplied by -5 equals -15x - 20

subtract -15x - 20 from -15x + 27 will result to a remainder of 47

using the remainder theorem, x = -4/3 from the the divisor 3x + 4

thus:

f(-4/3) = 6(-4/3)⁴ + 11(-4/3)³ + 13(-4/3)² - 3(-4/3) + 27 {putting the value -4/3 for x}

f(-4/3) = (1536/81) - (704/27) + (208/9) + (12/3) + 27

f(-4/3) = (1536 - 2112 + 1872 + 324 + 2157)/81 {simplification by taking the LCM of the denominators}

f(-4/3) = (5919 - 2112)/81

f(-4/3) = 3807/81

f(-4/3) = 47

Therefore, the quotient of after the division of 6x⁴ + 11x³ + 13x² - 3x + 27 by 3x + 4 is 2x³ + x² +3x -5 and there is the remainder of 47 using the remainder theorem.

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In the given formula, the variables can be matched to their corresponding definitions as follows:

  Amount Financed (c): This variable represents the initial principal or the total amount of money borrowed or invested. It could refer to the loan amount or the initial investment amount.

  Number of Payments per year (n): This variable indicates the frequency of payments made within a year. It defines how many times the borrower or investor makes payments in a single year.

  Number of Payments (m): This variable refers to the total count of payments made over the entire duration of the loan or investment. It represents the number of times the borrower or investor makes payments throughout the agreed-upon period.

  Total Interest (y): This variable represents the accumulated interest paid or earned over the course of the loan or investment. It quantifies the total additional cost or earnings resulting from interest charges or returns.

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Answer:

Step-by-step explanation:

Width = w

Length =2w + 9

Perimeter = 288 yards

2*(length + width) = 288

2*(2w + 9 + w) = 288

2*(2w + w +9) = 288 {Combine like terms}

2*(3w + 9 )     = 288

2*3w + 2*9    = 288             {Use distributive property}

6w + 18          = 288             {Subtract 18 from both sides]

                 6w = 288 - 18

                 6w = 270       {Divide both sides by 6}

                   w = 270/6

w = 45 yards

Length = 2*45 + 9 = 90 +9 = 99 yards

Length = 99 yards

Width = 45 yards

We can use the Pythagorean identity one more time to get:

cos^2(a)t + cos^2(B) + cos^2(y) = 1

What is Trigonometry ?

Trigonometry is the branch of mathematics that studies the relationships between the sides and angles of triangles. Trigonometry is found throughout geometry because every shape with equal sides can be broken down into a collection of triangles.

The identity you want to prove is:

cos^2(a)t cos^2(B) + cos^2(y) = 1

We can start by using the Pythagorean identity for sine and cosine:

sin^2(x) + cos^2(x) = 1

cos^2(x) = 1 - sin^2(x)

We can use this identity to substitute for cos^2(a)t and cos^2(B):

cos^2(a)t cos^2(B) = (1 - sin^2(a)t)(1 - sin^2(B))

Expanding this expression, we get:

cos^2(a)t cos^2(B) = 1 - sin^2(a)t - sin^2(B) + sin^2(a)t sin^2(B)

Now we can substitute this expression back into the original identity:

cos^2(a)t cos^2(B) + cos^2(y) = 1

(1 - sin^2(a)t)(1 - sin^2(B)) + cos^2(y) = 1

Expanding the left side and simplifying, we get:

1 - sin^2(a)t - sin^2(B) + sin^2(a)t sin^2(B) + cos^2(y) = 1

sin^2(a)t sin^2(B) + cos^2(y) = sin^2(a)t + sin^2(B)

Now we can use the Pythagorean identity again:

sin^2(a)t + sin^2(B) = 1 - cos^2(a)t - cos^2(B)

Substituting this expression, we get:

sin^2(a)t sin^2(B) + cos^2(y) = 1 - cos^2(a)t - cos^2(B)

Finally, we can use the Pythagorean identity one more time to get:

cos^2(a)t + cos^2(B) + cos^2(y) = 1

which is the identity we wanted to prove.

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Answer:

no it is SAS

Step-by-step explanation:

because it shows aside, angle, and another side.... it will be SAS

Answer:

no

Step-by-step explanation:

The approximate probability that the baggage limit will not be exceeded on the particular airplane is approximately 0.033, or 3.3%.

To calculate this probability, we need to use the concept of the standard normal distribution. We can convert the given mean and standard deviation of the individual passengers' checked-in baggage weight into a standard normal distribution by applying the formula:

Z = (X - μ) / σ

where Z is the standard score, X is the individual baggage weight, μ is the mean weight, and σ is the standard deviation.

In this case, the maximum allowable weight of the checked baggage for the airplane is 6,000 pounds, and the capacity of the airplane is 125 passengers. So the maximum allowable weight per passenger is 6,000 / 125 = 48 pounds.

Now, we need to find the probability that the baggage weight of a randomly selected passenger is less than or equal to 48 pounds. We can convert this value into a standard score by substituting the values into the formula:

Z = (48 - 42) / 25 = 0.24

We can then look up the probability associated with this standard score in the standard normal distribution table or use a statistical calculator to find that the probability is approximately 0.590.

Since there are 125 passengers on the plane, we need to calculate the probability that all of them have baggage weights less than or equal to 48 pounds. This is done by raising the individual probability to the power of the number of passengers:

P = 0.590^125 ≈ 0.033

Therefore, the approximate probability that the baggage limit will not be exceeded on the particular airplane is approximately 0.033, or 3.3%.

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Loan Q’s finance charge will be $83.73 greater than Loan P’s.

Given

The principal of the loan will be $19,450, and Dahlia will make monthly payments.

Bank P offers a nine-year loan with an interest rate of 5.8%, compounded monthly, and assesses a service charge of $925.00.

Bank Q offers a ten-year loan with an interest rate of 5.5%, compounded monthly, and assesses a service charge of $690.85.

To solve this, we will use the formula for loan payment:

\(\rm P=\dfrac{\frac{x}{n}PV}{1-(1+\dfrac{r}{n})^{-nt}}\)

Where P is the payment; PV is the present debt; r is the interest rate; n is the number of payments per year; t is the time.

Working for bank P:

PV = 19450

r = 5.8 or 0.058

t = 9

n = 12

Putting the values in the formula we get:

\(\rm P=\dfrac{\frac{x}{n}PV}{1-(1+\dfrac{r}{n})^{-nt}}\\\\P=\dfrac{\frac{0.058}{12}\times 19450}{1-(1+\dfrac{0.058}{12})^{-12 \times 9}}\\\\ P=231.59\)

Dahlia's monthly payment is $231.59. So, her total payment for 9 years will be;

\(\rm 231.59\times9\times 12=25011.72\)

A finance charge will be = total future value minus loan amount plus service charge.

= 25011.72 -19450 +925 = $6486.72

Working for bank Q:

PV = 19450

r = 5.5 or 0.055

t = 10

n = 12

Putting the values in the formula we get:

\(\rm P=\dfrac{\frac{x}{n}PV}{1-(1+\dfrac{r}{n})^{-nt}}\\\\P=\dfrac{\frac{0.055}{12}\times 19450}{1-(1+\dfrac{0.055}{12})^{-12 \times 10}}\\\\ P=211.08\)

Dahlia's monthly payment is $231.59. So, her total payment for 10 years will be;

\(\rm 211.08\times 10\times 12=25329.60\)

The finance charge will be = 25329.60  -19450 +690.85 = $6570.45

Therefore,

The difference between both bank's finance charges:

$6486.72-$6570.45 = $83.73

Hence, Loan Q’s finance charge will be $83.73 greater than Loan P’s.

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The constant in the given expression is

C. 9

In a mathematical expression, a constant is a value that does not change and remains the same throughout the expression or equation.

It is a fixed numerical value, coefficient, or term that is independent of the variable(s) in the expression.

For example, in the expression 15x^2 + 2x + 9, the constant is 9, as it remains the same regardless of the value of x.

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