Solve using Newton divided difference
formula
0 The observed values of a function are 168, 120,72 and 83 at the four position 3, 7, 9 and 10 of the argument ef the function at portions. respectively. What is the best estimate for the value

Answer: A.

Step-by-step explanation:

Answer:

just needed to answer a question

Step-by-step explanation:

just think about what sounds like it goes together

Answer:

15+3+6+1+6+40+20+10=101

Answer:

Tia has $1,282 more than Jon

Step-by-step explanation:

4,163-2881 = 1282

Tia has $1,282 more than Jon

Answer:

1282

Step-by-step explanation:

Answer:

so when looking at the tax minus the cost

100%/x%=80500/1932

(100/x)*x=(80500/1932)*x      

100=41.666666666667*x      

100/41.666666666667 or 6 infinite will get us

2.4=x

x=2.4

so times 2.4% with every cost to see it it matches the tax given!

A is incorrect

it equals 1632

B is not correct as it equals 2208

C is incorrect as it equals 1800 dollars in tax

D is CORRECT as it has the same number in Tax

2040

Answer:

its c hope this helps:)

Step-by-step explanation:

The activity preference of teachers and librarians is given in the table. P(teacher and chooses play) is an example of an independent event.

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Answer:

Since 2 and 3 are factors, they should be multiplied to get 6xy.

Step-by-step explanation:

The solution is Option B.

Since 2 and 3 are factors, they should be multiplied to get 6xy and the equation is False

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

2x + 3y ≠ 5xy

a)

If you substitute 4 for x and 5 for y in the expression 2x+3y, it does not equal 5(4)(5)

Substituting the value of x = 4 and y = 5 in the equation , we get

2 ( 4 ) + 3 ( 5 ) ≠ 5 ( 4 ) ( 5 )

8 + 15 ≠ 100

23 ≠ 100

Therefore , the statement is True

b)

Since 2 and 3 are factors, they should be multiplied to get 6xy

2x ( 3y ) = 6xy

But the equation does not equals 6xy

Hence , the statement is False and does not explain the given equation

c)

x and y are not like terms

The statement is true because the variables x and y are not the same

Therefore , the statement is True

d)

Adding x and y is not the same as multiplying x and y

The value of the equation x + y = x + y and on multiplying x and y = xy

And , x + y ≠ xy

Therefore , the statement is True

Hence , the equation 2x ( 3y ) = 6xy is False

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Answer:

8

Step-by-step explanation:

6 / 1/4 = 24, So to find 1/3 we do 24 / 3 which is 8

:D

Answer:

8

Step-by-step explanation:

The value of $100 in euros is $87.

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Worth of 1 United States dollar is $0.87 in euros.

To find the value of $100 in Euros, use ratio property,

1 United States dollar = $0.87 in euros

100 United States dollar = $87 in euros.

The value of $100 in euros is $87.

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Hope this helped!

First Row

\(\frac{5}{18}\)

\(\frac{10}{21}\)

\(\frac{9}{40}\)

6

5\(\frac{1}{3}\)

(this one is already done)

Second Row

4\(\frac{4}{9}\)

5\(\frac{1}{16}\)

\(\frac{13}{18}\)

6\(\frac{1}{4}\)

11\(\frac{2}{3}\)

We can see that the safety rail is a quarter of circle with radius equals 10yd. So it's lenght is:

The value is 24 square units is parallel to the face of the right rectangular prism.

We can see that the face of the given rectangular prism shows a width 4 and a height of 6. If we cut the figure at any point along the length 20, such that the cross-section is parallel to the face, the cross-section, which occurs at x length, will always have the same dimensions, which are 4 and 6.

So the area of the cross-section which is parallel to the face of the given rectangular prism is given by:

A = 6 × 4

A = 24

Thus, the value is 24 square units is parallel to the face of the right rectangular prism.

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A = 6 × 4

A = 24

Thus, the value is 24 square units is parallel to the face of the right rectangular prism.

The median of the following set of numbers  (18, 26, 29, 18, 44) is 26. The correct option to this question is option A

To find median of the following sequence (18, 26, 29, 18, 44) we will arrange them in ascending order

                            18 , 18 , 26 , 29 , 44   . . . . . .  . . . .(1)

Since the number of terms is odd we will apply the formula

                     Median  = \(\frac{(n+1)}{2} th\) term . . . . . . .(2)

       Here n = number of terms

As per question the n = 5

Therefore putting in equation 2 we get

                      Median = \(\frac{(5+1)}{2} th\) term

                      Median = \(\frac{6}{2} th \\\)  term

                      Median = 3 term

Hence the third term from the sequence ( shown in 1 ) we get the median that is 26

Hence the median of the following set of numbers (18, 26, 29, 18, 44) is 26 .

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The median is:

26

Explanation:

First, we will arrange the numbers from least to greatest.

18, 26, 29, 18, 44

Rearrange

18, 18, 26, 29, 44.

Now, the median is the number in the middle, which is 26.

Answer:

La respuesta a tu pregunta es sies (6)

Step-by-step explanation:

300/5 cajas = 6 cajas

300/5 boxes is equal to 6 boxes in total that are full.

Espero haber ayudado!

Hope I helped!!!

GL :)

Using the standard normal distribution table, the value of c is approximately 17.72.

To tackle this issue, if X is normal random variable we can utilize the standard ordinary appropriation table. To start with, we want to normalize the irregular variable X utilizing the equation:

Z = (X-mu)/sigma

Where mu is the mean and sigma is the standard deviation, which is the square base of the fluctuation. Subbing the given qualities, we get:

Z = (X-18.2)/\(\sqrt{ 5\)

Then, we really want to find the worth of Z comparing to the given likelihood of 0.5221. Looking into this likelihood in the standard typical dissemination table, we find that the comparing Z-esteem is around 0.11.

Subbing this worth into the normalized recipe and addressing for X, we get:

0.11 = (X-18.2)/\(\sqrt{ 5\)

X-18.2 = 0.11*\(\sqrt{ 5\)

X = 18.2+0.11*\(\sqrt{ 5\)

X ≈ 18.72

In this manner, the worth of c is roughly 18.72-1 = 17.72.

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Answer:

  (a)  $1350.46

  (b)  $50.46

Step-by-step explanation:

You want to know the future value of a $1300 CD earning 1.27% compounded monthly for 3 years, along with the amount of interest earned.

The compound interest formula tells you the future value is ...

  FV = P(1 +r/12)^(12·t)

where r is the annual interest rate and t is the number of years.

Using the given values, we have ...

  FV = $1300(1 +0.0127/12)^(12·3) ≈ $1350.46

(a) The value after 3 years is $1350.46.

The interest earned is the difference between the final value and the amount of the original investment:

  Interest = $1350.46 - 1300.00 = $50.46

(b) The interest earned by the CD is $50.46.

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Answer:

x = 3, 5

Step-by-step explanation:

(x - 3)(x - 5) = 0

The probability of A and B occurring simultaneously (P(A ∩ B)) is c. 0.00.

In this scenario, A and B are stated to be mutually exclusive events. Mutually exclusive events are events that cannot occur at the same time. This means that if event A happens, event B cannot happen, and vice versa.

Given that P(A) = 0.4 and P(B) = 0.5, we can deduce that the probability of A occurring is 0.4 and the probability of B occurring is 0.5. Since A and B are mutually exclusive, their intersection (A ∩ B) would be an empty set, meaning no outcomes can be shared between the two events. Therefore, the probability of A and B occurring simultaneously, P(A ∩ B), would be 0.

To further clarify, let's consider an example: Suppose event A represents flipping a coin and getting heads, and event B represents flipping the same coin and getting tails. Since getting heads and getting tails are mutually exclusive outcomes, the intersection of events A and B would be empty. Therefore, the probability of getting both heads and tails in the same coin flip is 0.

In this case, since events A and B are mutually exclusive, the probability of their intersection, P(A ∩ B), is 0.

Therefore, the correct answer is: c. 0.00

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Answer:

Slope is 3.

Step-by-step explanation:

Slope formula

\(m = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}} = \frac{y_2 - y_1}{x_2 - x_1}\)

m ... slope

Two points on the line are (x1, y1) and (x2, y2).

Now let's insert the coordinates of points (6,9) and (4,3) in the slope formula.

\(m = \frac{y_2 - y_1}{x_2 - x_1}\\\\m = \frac{9 - 3}{6 - 4}\\\\m = \frac{6}{2}\\\\m = 3\)

You could also do \(m = \frac{3-9}{4-6}\) and would get the same result.

Answer: 89.5

Step-by-step explanation:

Answer:

89.5

Step-by-step explanation:

Since this is an average question, you have to add all four grades. You should get 358. Then you have to divide by four. You should get 89.5, and that would be your answer.

Answer:

Initial population = 313

Population after 5 hours = \(3.36 \times 10^{11}\)

Step-by-step explanation:

Let initial population = \(x\)

It is given that population gets doubled every 10 minutes.

Population after 10 minutes = \(2x\)

Population after 20 minutes = \(2^{2} x\)

:

:

Population after 80 minutes = \(2^{8} x\) and it is given as 80000.

\(\Rightarrow 2^{8} x = 80000\\\Rightarrow x = \dfrac{80000}{256}\\\Rightarrow x = 313\)

So, initial population is 312.5 = ~313

To find, population after 5 hours i.e. 5 \(\times\) 60 = 300 minutes

Population after 300 minutes =

\(2^{30} x\\\Rightarrow 2^{30} \times 313\\\Rightarrow 3.36 \times 10^{11}\)

So, the answers are:

Initial population = 313

Population after 5 hours = \(3.36 \times 10^{11}\)

Let's simplify each expression shown in the exercise:

Option a

Given:

You can apply the Product of powers property. This states the following:

Where "b" is the base and "n" and "m" are exponents.

Then, you get:

By definition:

Therefore:

The expression given in Option a is equal to 1.

Option b

Knowing that any number or expression with exponent zero is equal to 1, you get that:

The expression given in Option b is equal to 1.

Option c

Given:

You can notice that the numerator and the denominator are equal, then:

The expression given in Option c is equal to 1.

Option d

Given:

You can simplify it using the Quotient of powers property, which states that:

Then, you get:

The expression given in Option d is not equal to 1.

The answer is: Option d.

Answer:

the answer of first one is19

the answer of second is14

A standard normal random variable (Z) has a mean of 0 and a standard deviation of 1. The probability of Z being greater than 0 is equal to the area under the normal curve to the right of 0, which is exactly half of the total area under the curve (since the curve is symmetric around the mean of 0). Therefore, P(Z>0) is equal to 0.5.

A standard normal random variable, like Z in your question, follows a standard normal distribution, which is a special type of normal distribution with a mean of 0 and a standard deviation of 1. Now, you're asked to find the probability P(Z > 0).

Since the standard normal distribution is symmetrical around the mean (0), the probability of Z being greater than 0 is equal to the probability of Z being less than 0. In other words, half of the distribution is on the right side of the mean, and the other half is on the left side.

Therefore, P(Z > 0) = 0.5, which is your answer.

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Answer:

22 8th graders

Step-by-step explanation:

if 25% of the 88 kids are 8th graders then do this.

88x.25=22

88x.75=66

there are 22 eighth graders

and 66 seventh graders.

The area of the largest rectangle is 46.47 square root.

Consider a semi-circle with a rectangle ABCD inscribed in it.

Let, O = centre of the semi-circle

A and B lies on the base of the semi-circle

OA = OB = x

D and C lie on the semi-circle

BC = AD = y

AB = CD = 2x

By Pythagorean theorem,

CB² + OB² = OC²

⇒ y² + x² = (6)²

⇒ y² = 36 - x²

⇒ y = √(36 - x²)

Now, area of rectangle in terms of x,

Area, A = 2x × y

= 2x × √(36 - x²)

Differentiating,

A' = 2 × √(36 - x²) - 2x²/(36 - x²)

When x = 0, y = 6 and when x = 6, y = 0, area = 0.

It implies that area is maximum when the value of x lies between 0 and 6.

This will occur where A’ = 0.

⇒ 2 × √(36 - x²) - 2x²/(36 - x²) = 0

⇒ 2 × √(36 - x²) = 2x²/(36 - x²)

On simplification, we get,

⇒ 2 × (36 - x²) = 2x²

⇒ 36 - x² = x²

⇒ 2x² = 36

⇒ x² = 36/2

⇒ x = √36/2

Now, y = √(36 - x²) becomes

⇒ y = √(36 - (√36/2)²)

⇒ y = √(36 - 36/2)

⇒ y = √(96 - 36)/2

⇒ y = √60/2

Maximum area = 2xy

= 2(√36/2)(√60/2)

= 46.47

Therefore, the area of the largest rectangle = 46.47 square units.

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The monthly payments for the same loan would be approximately $694.12.

To calculate the annual payment required to pay off a four-year, $27,000 loan at an interest rate of 9 percent EAR, we can use the formula for the present value of an ordinary annuity:

PV = PMT * (1 - (1 + r)^(-n)) / r

Where:

PV = Loan amount = $27,000

PMT = Annual payment

r = Interest rate per period = 9% = 0.09

n = Number of periods = 4

Plugging in these values into the formula, we can solve for PMT:

$27,000 = PMT * (1 - (1 + 0.09)^(-4)) / 0.09

Simplifying the equation, we have:

$27,000 = PMT * (1 - 0.708222) / 0.09

$27,000 = PMT * 0.291778 / 0.09

PMT = $27,000 * 0.09 / 0.291778

PMT ≈ $8,329.40 (annual payment)

To calculate the monthly payments for the same loan, we can divide the annual payment by 12:

Monthly payment = $8,329.40 / 12

Monthly payment ≈ $694.12

Therefore, the monthly payments for the same loan would be approximately $694.12.

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Option B. Area under the curve. In a density curve, the proportion of data is represented by the area under the curve.

The area under the curve represents the proportion of data points that fall within a certain range of values, and the height of the curve at any given point represents the relative frequency or density of data points at that value. The total area under the curve is equal to 1, indicating that the sum of the proportions of data points in all possible intervals is equal to 100%.

It's important to note that the total area under the curve is equal to 1, indicating that the sum of the proportions of data points in all possible intervals is equal to 100%. This means that the density curve provides a complete picture of the distribution of the data, and the shape of the curve can be used to make inferences about the distribution, such as whether it is symmetrical, skewed, bimodal, etc.

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Answer:

4

Step-by-step explanation:

all the containers seem to have 1/2 of the balls