Phoenix annual rainfall is usually 8 1/4 inches. One year, it had 25% less rain than usual how much rain did phoenix get that year

Given:

The square root of a number is the inverse operation of the square operation of a number.

The square root of a number is the number that when multiplied by itself gives the original number as the result.

To find the square root of 2654, we have:

The number given, 2654 is not a perfect square.

A square root of a perfect square is a non decimal number.

Apply the formula:

y is the closest perfect square.

If the number is a perfect square, the square root of the number would be a non decimal number.

ANSWER:

51.5

The limit as n approaches infinity of the Riemann sum can be expressed as the definite integral \(\int [2,8] [7x^3 - 5x] dx.\)

To express the limit as a definite integral, we can use the definition of the Riemann integral:

∫[a,b] f(x) dx = lim n→[infinity] δx [f(x1*) + f(x2*) + ... + f(xn*)],

where δx = (b-a)/n is the width of each subinterval, and xi* is a sample point in the i-th subinterval.

In this case, we have:

lim n→[infinity] n i = 1\([7(xi*)^3 - 5i*]\) δx, [2, 8]

So, we can express the limit as the definite integral:∫[2,8] [7x^3 - 5x] dx.

To see why this is the case, note that as n approaches infinity, the width of each subinterval δx approaches zero, and the sample point xi* in each subinterval approaches the value of x at the midpoint of the subinterval. Thus, we can write:

xi* ≈ (xi-1 + xi)/2,

where xi-1 and xi are the endpoints of the i-th subinterval.

Using this approximation, we can rewrite the sum as a Riemann sum:

lim n→[infinity] n i = 1 [7(xi*)^3 − 5xi*]δx

≈ lim n→[infinity] n i = 1\([7((xi-1 + xi)/2)^3 - 5((xi-1 + xi)/2)]\) δx

\(\int [2,8] [7x^3 - 5x] dx.\)

which is the definite integral we found earlier.

For similar question  on  definite integral.

https://brainly.com/question/27746495

#SPJ11

To express the limit as a definite integral on the given interval, we can use the definition of a Riemann sum. The limit can be rewritten as the limit of a Riemann sum, where we partition the interval [2, 8] into n subintervals of equal width δx = (8-2)/n, and xi* is any point in the i-th subinterval.

Thus, we have: lim n→[infinity] n i = 1 [7(xi*)3 − 5xi*]δx = ∫2^8 [7x^3 - 5x] dx

This is the definite integral of the function 7x^3 - 5x over the interval [2, 8]. By taking the limit of the Riemann sum as n approaches infinity, we are essentially finding the exact area under the curve of the function over the interval [2, 8]. Thus, we can express the limit as a definite integral on the given interval.
To express the limit as a definite integral on the given interval, we need to recognize that this is a Riemann sum. The given expression represents the limit of a Riemann sum as n approaches infinity:

lim (n→∞) Σ[i=1 to n] [7(x_i*)^3 - 5x_i*]Δx, on the interval [2, 8].

As n approaches infinity, the Riemann sum converges to the definite integral of the function f(x) = 7x^3 - 5x on the interval [2, 8]. Thus, we can rewrite the limit as:

∫[2, 8] (7x^3 - 5x) dx.

This expression represents the limit as a definite integral on the given interval.

To learn more about Riemann sum click here, brainly.com/question/30404402

#SPJ11

Answer:

x = 25

Step-by-step explanation:

To find out what the value of X is, we can solve the given problem algebraically:

1 + \(\frac{x}{5}\) = 6

Susbtract 1 from both sides:

1 - 1 + \(\frac{x}{5}\) = 6 - 1

\(\frac{x}{5}\) = 5

Multiply 5 on both sides to isolate X:

\((\frac{x}{5}) 5 = 5(5)\)

x = 25

Therefore, X = 25.

To check whether this is the correct answer, substitute the value of X into the given equation:

1 + \(\frac{x}{5}\) = 6

1 + \(\frac{25}{5}\) = 6

1 + 5 = 6

6 = 6 (True statement).

Answer:

Third option: (0, 7)

Step-by-step explanation:

A reflection can be thought of as folding or "flipping" an object over the line of reflection.

• The original object is called the pre-image, and the reflection is called the image.

• The image is usually labeled using a prime symbol, such as A'B'C'.

• An object and its reflection have the same shape and size, but the figures face in opposite directions. The objects appear as if they are mirror reflections, with right and left reversed.

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed).

Label the points for the pre image:

Pre image

Point A: (0, -2)

Point B: (3, -7)

Point C: (0, -7)

And now we change the y-coordinates in the points into their opposites:

When reflected over the x-axis:

Ponit A (0, -2) changes to A' (0, 2)

Point B (3, -7) changes to B' (3, 7)

Point C (0, -7) changes to C' (0, 7)

New image:

A' (0, 2)

B' (3, 7)

C' (0, 7)

So the new image for vertex C, would be:

Third option: (0, 7)

Look at the both of the graphs:

Answer:

E(X) = $1060.

This shows that the expected value of earnings is greater than the cost of entering the race.

Hence, it is worthwhile to enter the race if it costs $1000.

The horse has a probability of 1/20 of coming in first place,

a probability of 1/10 of coming in second place,

and a probability of 1/3 of coming in third place.

Given that the first place pays $4800 to the winner,

second place $3200,

and third place $1500.

we need to find whether it is worth entering the race if it costs $1000.

Let E be the net profit in the race,

which is calculated as the difference between the total earnings and the cost of entering the race,

i.e., E = Total earnings - Cost of entering the race

Given, The probability of the horse coming in first place = 1/20

The probability of the horse coming in second place = 1/10

The probability of the horse coming in third place = 1/3

Now,

Let us calculate the expected value of the earnings, E(X).

E(X) = (1/20) x 4800 + (1/10) x 3200 + (1/3) x 1500

      = 240 + 320 + 500

      = $1060

Therefore, E(X) = $1060.

This shows that the expected value of earnings is greater than the cost of entering the race.

Hence, it is worthwhile to enter the race if it costs $1000.

Learn more about probability, visit here

https://brainly.com/question/13604758

#SPJ11

Answer:

454.68

Step-by-step explanation: so this is how u do it......

Step 1)  you need to turn the pursent into this kind of number ( 70% = 0.07)

Step 2)your need to subtract from the couch price (425$ - 0.07= 424.93)

Step 3)  424.93  is the sale price so 0.07 times 424.93 = ( 29.7451)

Step 4) 29.7451 is our tax price so ( tax + sale price )  29.7451 + 424.93 = 454.6751

Step 5) round to the nerest cent = 454.68

A table that shows these data correctly entered in a two-way frequency table is: A. table A.

In Mathematics and Statistics, a frequency table can be used for the graphical representation of the frequencies or relative frequencies that are associated with a categorical variable or data set.

Based on the information provided about this survey with respect to the 60 students, we can logically deduce that only table A represent a two-way frequency table that correctly shows the data being entered:

"35 students play an instrument."

"30 students are in band."

"30 students are not in band."

Read more on frequency table here: brainly.com/question/20744563

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Based on Chebyshev's theorem, we can conclude that approximately 75% of the club members' ages are between 27 and 67.

Based on Chebyshev's theorem, we can conclude that at least (1 - 1/k^2) of the data falls within k standard deviations of the mean, where k is any positive number greater than 1.

In this case, the mean age of the club members is 47 years and the standard deviation is 10 years. To find the percentage of club members aged between 27 and 67, we need to calculate the number of standard deviations between these ages and the mean.

For the lower limit, (27 - 47) / 10 = -2 standard deviations from the mean.
For the upper limit, (67 - 47) / 10 = 2 standard deviations from the mean.

Since k is any positive number greater than 1, we can choose k = 2. Therefore, according to Chebyshev's theorem, at least (1 - 1/2^2) = 1 - 1/4 = 3/4 or 75% of the club members' ages fall between 27 and 67.

In summary, based on Chebyshev's theorem, we can conclude that approximately 75% of the club members' ages are between 27 and 67.

know more about Chebyshev's theorem,

https://brainly.com/question/33913070

#SPJ11

Answer:

(-2, ∞)

Step-by-step explanation:

The domain of a function is how far the x goes left and right.

We see the x starts at -2 and goes forever.

So, the Domain of the function is (-2, ∞)

Answer:

No

No

Step-by-step explanation:

In a right angled triangle :

The square of the length of the longest side is equal to the sum of the squares of the two remaining sides : - Pythagoras

That is :

a² = b² + c² (condition must be satisfied).

9m, 4m, 5m

9² = 4² + 5²

81 = 16 + 25

81 ≠ 41 (not right angled)

5cm, 12cm, 14cm

14² = 12² + 5²

196 = 144 + 25

196 ≠ 169 (not right angled)

The statement that the largest (diagonal) value in the diagonal matrix Σ is at the bottom-right position is incorrect. The largest singular value is actually at the top-left position of Σ.

In Singular Value Decomposition (SVD), an input matrix is decomposed into three smaller matrices: U, Σ, and V.

U is an orthogonal matrix that contains the left singular vectors, Σ is a diagonal matrix that contains the singular values, and V is an orthogonal matrix that contains the right singular vectors.

The singular values in Σ are arranged in descending order along the diagonal, meaning the largest singular value is at the top-left position of the matrix and the smallest singular value is at the bottom-right position of the matrix.

To know more about Singular Value Decomposition refer here:

https://brainly.com/question/30007171#

#SPJ11

Answer:

(f-g)(x)= f(x)-g(x)

=6x-x-6

=5x-6

(f-g)(1)= 5(1)-6

=5-6

= -1

Step-by-step explanation:

Pn(Z>zp)=1−p%

Given a variable X following a normal distribution with mean μ and standard deviation σ, the area below the curve that corresponds to all values that are less than a that is, X<a

is the probability P(X<a). This probability is usually calculated by converting the variable X to a standard normal variable Z (forming z scores) defined by:

\(z=\frac{x-\mu}{\sigma}\)

The variable Z follows the standard normal distribution with a mean of 0 and a standard deviation of 1.

The standard normal probabilities are typically found by using the standard normal tables or other computational means such as calculators or software.

Pn(Z>zp)=1−p%

Here Pn is the probability for the standard normal variable.

Learn more about mean here https://brainly.com/question/18060320

#SPJ4

Let's calculate the products and check if they indeed have the same value:

Product of 32 and 46:

32 * 46 = 1,472

Reverse the digits of 23 and 64:

23 * 64 = 1,472

As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.

To find two other pairs of two-digit numbers that have this property, we can explore a few examples:

Product of 13 and 62:

13 * 62 = 806

Reversed digits: 31 * 26 = 806

Product of 17 and 83:

17 * 83 = 1,411

Reversed digits: 71 * 38 = 1,411

As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.

For example, let's consider the pair 25 and 79:

A = 2, B = 5, C = 7, D = 9

The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.

Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.

Answer:

41 degrees

Step-by-step explanation:

The interior angles rule states that all interior angles must add up to 180, so  180-87-52=41 degrees.

Hope this helps.

Answer:

A. Reflection over the x-axis.

Step-by-step explanation:

Now, we present how to transform \(f(x) = x\) into \(g(x) = -5\cdot (x-3)-8\) below:

1) \(f(x) = x\) Given.

2) \(f(x-3) = x - 3\) Horizontal shift to the right.

3) \(-5\cdot [f(x-3)] = -5\cdot (x-3)\) Vertical scale factor.

4) \(-5\cdot f(x-3)-8 = -5\cdot (x-3)-8\) Vertical shift downwards.

5) \(g(x) = -5\cdot (x-3)-8\) Definition/Result

In consequence, the only transformation which was not done to the linear parent function was a reflection over the x-axis. The correct answer is A.

Answer:

2700÷9=300

300×2=600liters yellow paint

Answer:

Maximum

Step-by-step explanation:

Answer:

457

Step-by-step explanation:

Answer:

\(B) sin(\alpha )\)

Step-by-step explanation:

\(sin(90-0)=Cos(0)\)

\(Cos(90-0)=sin(0)\)

\(So...\)

\(Cos(90-\alpha )= sin(\alpha )\)

\(------------\)

hope it helps...

have a great day!!

Answer:

cos(90°-a)

since it lies in first quadrant

sina

your option is B.sin(a)

The total number of ways to make a train consisting of 2 tank cars, 5 boxcars, and 3 flatcars is: 166,320 ways.

To calculate the number of ways to make a train consisting of 2 tank cars, 5 boxcars, and 3 flatcars, we need to use the combination formula.

The number of tank cars, boxcars, and flatcars in the train yard are given as follows:

4 tank cars 12 boxcars 7 flat cars

We need to choose 2 tank cars out of 4, 5 boxcars out of 12, and 3 flatcars out of 7.

The combination formula is given by:

nCr = n! / r! * (n - r)!

where n is the total number of objects,

r is the number of objects being chosen at a time,

and ! represents the factorial of a number.

Substituting the values in the formula:

2 tank cars out of 4:

n1 = 4C2 = 4! / 2! * (4 - 2)! = 6 ways 5 boxcars out of 12:

n2 = 12C5 = 12! / 5! * (12 - 5)! = 792 ways 3 flatcars out of 7:

n3 = 7C3 = 7! / 3! * (7 - 3)! = 35 ways

Therefore, the total number of ways to make a train consisting of 2 tank cars, 5 boxcars, and 3 flatcars is:

n1 x n2 x n3= 6 x 792 x 35= 166,320 ways.

Learn more about combinatorics here:

https://brainly.com/question/32015929

#SPJ11

The double line connected to the double diamond symbol indicates:

B) Total participation between associated entities. ,and,

C) That the double rectangle entity can not exist without the single rectangle entity connected to it.

The double line connected to the double diamond symbol indicates that total participation between associated entities and that the double rectangle entity can not exist without the single rectangle entity connected to it. The reason behind it is that Double diamonds are always used to represent relationships between strong and weak entities. Strong Entity - Simple Rectangle Weak Entity - Double Rectangle.

An Entity Relationship diagram (ER) is a data modeling diagram used to represent the entities that will be modeled in a database, and the relationships between those entities (I use the one-to-many, one-to-one , many-to-many relationship terms themselves). When implementing a relational database, these relationships will determine which foreign keys I need to implement to relate one table to another. Diamonds represent sets of relationships in an ER diagram. A relationship set defines the relationship between two sets of entities in a database. A double diamond represents a set of relationships linked to a set of weak entities. A set of weak entities is a collection without a primary key.

Learn more about Rectangle:

https://brainly.com/question/28993977

#SPJ4

Cars with exactly two options = Total cars - Cars with none or one option - Cars with all three options. 8 cars had exactly two of the given options during the month of July.

To determine the number of cars that had exactly two of the given options (air conditioning, automatic transmission, and power steering), we can follow these steps:

1. Find the total number of cars sold in July.
2. Subtract the number of cars with none, one, or all three options to get the number of cars with exactly two options.

Step 1: Find the total number of cars sold in July
- 24 cars had none of the extras
- 24 cars had only air conditioning
- 64 cars had only automatic transmission
- 35 cars had only power steering
- 8 cars had all three extras
Total cars = 24 + 24 + 64 + 35 + 8 = 155 cars

Step 2: Subtract the number of cars with one or all three options
- 87 cars had air conditioning
- 99 cars had an automatic transmission
- 73 cars had power steering
- 8 cars had all three extras

Total cars with at least one option = 87 + 99 + 73 - 8 = 251 cars

Now, subtract the number of cars with none or one option from the total number of cars to find the number of cars with exactly two options:

Cars with exactly two options = Total cars - Cars with none or one option - Cars with all three options
Cars with exactly two options = 155 - (24 + 24 + 64 + 35) - 8 = 155 - 147 = 8 cars
Therefore, 8 cars had exactly two of the given options during the month of July.

Learn more about Month:

brainly.com/question/1248107

#SPJ11

The number of orderings of the colored houses is possible in 3 ways

There are 24 possible arrangements for the houses. The number of ways with the blue house next to the yellow house is \($3! \cdot 2!=12$\),

as we can consider the arrangements of B,Y, O, and R.

Thus there are \($24-12$\) arrangements with the blue and yellow houses non-adjacent.

Exactly half of these have the blue house before the yellow house by symmetry, and exactly half of those 6 arrangements have the orange house before the red house (also by symmetry), so our answer is

\(=$12 \cdot \frac{1}{2} \cdot \frac{1}{2}\)

=3

To learn more about Permutations, visit: https://brainly.com/question/27058178

#SPJ4

Answer: -1/16

Step-by-step explanation:

3/8  --->  6/16

5/16 - 6/16 = (-1/16)