Find the indicated area under the standard normal curve.To the right ofz= - 2.71The area to the right ofz= 2.71under the standard normal curve isenter your response here.​(Round to four decimal places as​ needed.)

Answer:

45 & 47

Step-by-step explanation:

Forming the equation,

→ x + (x + 2) = 92

→ 2x + 2 = 92

Now the value of x will be,

→ 2x + 2 = 92

→ 2x = 92 - 2

→ x = 90/2

→ [ x = 45 ]

Then the required integers are,

→ x = 45

→ x + 2 = 45 + 2 = 47

Hence, the integers are 45, 47.

Answer:

x < - 7

Step-by-step explanation:

Given

- 3x + 4 > 25 ( subtract 4 from both sides )

- 3x > 21

Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity.

x < - 7

By Pythagorean theorem, the calculated hypotenuse of the right triangle 17 is 9√2 cm (approx. 12.7 cm / 127.3 mm or 12.73 cm). The difference of the answers is 3 mm. The measure is accurate.

In this question we find a table representing a recursive algorithm involving Pythagorean theorem, whose definition is introduced below:

c² = a² + b²

Where:

Now we proceed to determine the hypotenuse of the right triangle 17:

Step 1

a = 3 cm, b = 3 cm

c = √[(3 cm)² + (3 cm)²]

c = 3√2 cm

Step 2

a = 3√2 cm, b = 3 cm

c = √[(3√2 cm)² + (3 cm)²]

c = √27 cm

c = 3√3 cm

Step 3

a = 3√3 cm, b = 3 cm

c = √[(3√3 cm)² + (3 cm)²]

c = √36 cm

c = 6 cm

Step 4

a = 6 cm, b = 3 cm

c = √[(6 cm)² + (3 cm)²]

c = √45 cm

c = 3√5 cm

Step 5

a = 3√5 cm, b = 3 cm

c = √[(3√5 cm)² + (3 cm)²]

c = √54 cm

c = 3√6 cm

Step 6

a = 3√6 cm, b = 3 cm

c = √[(3√6 cm)² + (3 cm)²]

c = √63 cm

c = 3√7 cm

Step 7

a = 3√7 cm, b = 3 cm

c = √[(3√7 cm)² + (3 cm)²]

c = √72 cm

c = 3√8 cm

c = 6√2 cm

Step 8

a = 3√8 cm, b = 3 cm

c = √[(3√8 cm)² + (3 cm)²]

c = √81 cm

c = 9 cm

Step 9

a = 9 cm, b = 3 cm

c = √[(9 cm)² + (3 cm)²]

c = √90 cm

c = 3√10 cm

Step 10

a = 3√10 cm, b = 3 cm

c = √[(3√10 cm)² + (3 cm)²]

c = √99 cm

c = 3√11 cm

Step 11

a = 3√11 cm, b = 3 cm

c = √[(3√11 cm)² + (3 cm)²]

c = √108 cm

c = 6√3 cm

Step 12

a = 6√3 cm, b = 3 cm

c = √[(6√3 cm)² + (3 cm)²]

c = 3√13 cm

Step 13

a = 3√13 cm, b = 3 cm

c = √[(3√13 cm)² + (3 cm)²]

c = 3√14 cm

Step 14

a = 3√14 cm, b = 3 cm

c = √[(3√14 cm)² + (3 cm)²]

c = 3√15 cm

Step 15

a = 3√15 cm, b = 3 cm

c = √[(3√15 cm)² + (3 cm)²]

c = 12 cm

Step 16

a = 12 cm, b = 3 cm

c = √[(12 cm)² + (3 cm)²]

c = 3√17 cm

Case 17

a = 3√17 cm, b = 3 cm

c = √[(3√17 cm)² + (3 cm)²]

c = 9√2 cm

The calculated hypotenuse of the right triangle 17 is equal to a length of 9√2 cm (approx. 12.7 cm or 127.3 mm, which is 12.73 cm). The difference of the answers is 3 mm.

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Answer:

24

Step-by-step explanation:

8%=8/100

& 8/100 of 60=4.8  ( "of" in mathematic means "multiply")

check if you get 4.8 by multiplying each of the given options by  1/5

1/5 0f 24=4.8

So 24 will be the ans

Answer:

there is no solution (as in intersecing point) because the lines are parrellel.

Step-by-step explanation:

Hello!

I think the answer is Option A.

This is the best way to fix this run-on sentences.

Remember, we can fix them with a comma, a semicolon and a period and FANBOYS (for, and, but, or, yet, so).

Keep the mnemonic in your memory. :)

We fix this sentence with "so".

Hope it helps!

Ask me if you have any query.

~A gloomy gal

\(MagicalNature\)

To find the area of the region that lies inside both curves r^2 = sin^2(2θ) and r^2 = cos^2(2θ), we can use the concept of polar coordinates.

First, let's set the equations equal to each other:

sin^2(2θ) = cos^2(2θ)

Using the trigonometric identity sin^2(x) + cos^2(x) = 1, we can rewrite the equation as:

1 - cos^2(2θ) = cos^2(2θ)

2cos^2(2θ) = 1

cos^2(2θ) = 1/2

Taking the square root of both sides:

cos(2θ) = ±√(1/2)

Now, we can solve for θ:

2θ = ±π/4 + kπ, where k is an integer

θ = ±π/8 + kπ/2, where k is an integer

Since the given curves are symmetric about the polar axis, we can consider the positive values of θ in the range [0, π/8].

To find the area of the region, we integrate the equation r^2 = sin^2(2θ) or r^2 = cos^2(2θ) over the range of θ and multiply by 1/2.

Let's consider the equation r^2 = sin^2(2θ) for this calculation.

Area = (1/2) ∫[0, π/8] sin^2(2θ) dθ

Using the identity sin^2(x) = (1/2)(1 - cos(2x)), we can rewrite the equation as:

Area = (1/4) ∫[0, π/8] (1 - cos(4θ)) dθ

Integrating the equation:

Area = (1/4) [θ - (1/4)sin(4θ)] evaluated from θ = 0 to θ = π/8

Plugging in the values:

Area = (1/4) [(π/8) - (1/4)sin(π/2)]

Area = (1/4) [(π/8) - (1/4)(1)]

Area = (1/4) [(π/8) - (1/4)]

Area = (1/4) [π/8 - 1/4]

Area = π/32 - 1/16

Therefore, the area of the region that lies inside both curves r^2 = sin^2(2θ) and r^2 = cos^2(2θ) is approximately π/32 - 1/16.

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Answer:

31 years

Step-by-step explanation:

65000*(1.07) ^31 is around $529000

however, 65000*(1.07) ^30 is around $491000

so you would need 31 years to gain more than $500,000.

It will take approximately 30 years to reach $500,000 in savings with an investment that earns an average of 7% per year.

To determine the number of years it will take to reach $500,000 in savings with an investment that earns an average of 7% per year, we can use the given investment model equation: y = 65000(1.07)ˣ.

We need to find the value of x, which represents the number of years.

Setting y = $500,000, we can solve for x:

500,000 = 65,000(1.07)ˣ

500,000/65,000 = (1.07)ˣ

100/13 = (1.07)ˣ

To solve for x, we take the logarithm of both sides:

ln 100/13 = ln (1.07)ˣ

ln 100/13 = x ln (1.07)

x = (ln 100/13)/(ln (1.07))

x = 30

Therefore, it will take approximately 30 years to reach $500,000 in savings with an investment that earns an average of 7% per year.

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The probability of a student having at least one sibling, based on the survey results is 0.8.

Daniel surveyed 120 students at his school and found that 96 of them have at least one sibling. This means that the probability of a student having at least one sibling, based on the survey results, is 96/120 or 0.8.

There are 425 students at Daniel's school, so if we multiply this number by the probability of having at least one sibling (0.8), we can estimate that approximately 340 students at the school have at least one sibling.

To estimate the number of students at Daniel's school who have at least one sibling, we can use this probability to make a prediction.

If we assume that the probability of a student having at least one sibling is the same for all students at the school, then we can apply this probability to the total number of students.

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Answer:

the answer is a

Step-by-step explanation:

x=0 the first equation gives -4

andx= 2 6/2 = 3-4= -1

Answer:

x = -b/a

Step-by-step explanation:

ax+b = 0

Subtract b from each side

ax+b-b=0-b

ax = -b

Divide each side by a

ax/a = -b/a

x = -b/a

Answer:

16 1/2 minutes

Step-by-step explanation:

2.8m = 46.2

m = 16.5

Answer:

maybe 16.5

Step-by-step explanation:

divide 46.2 with 2.8 and get 16.5

The chance that the hospital will run out of sleeping pills on any given day is 0.5000 (or 0.5000 with four decimal places).

To calculate the chance that the hospital will run out of sleeping pills on any given day, we can use the normal distribution and Z-score.

First, let's calculate the Z-score using the formula:

Z = (X - μ) / σ

Where:

X = consumption rate per day (1,155 pills)

μ = average consumption rate per day (1,155 pills)

σ = standard deviation (81 pills)

Z = (1,155 - 1,155) / 81

Z = 0

Now, we need to find the probability associated with this Z-score. However, since the demand for sleeping pills can be considered continuous and not discrete, we need to calculate the area under the curve from negative infinity up to the Z-score. This represents the probability of not running out of sleeping pills.

We discover that the region to the left of a Z-score of 0 is 0.5000 using a basic normal distribution table or statistical software.

To find the probability of running out of sleeping pills, we subtract this probability from 1:

Probability of running out of sleeping pills = 1 - 0.5000

Probability of running out of sleeping pills = 0.5000

Therefore, on any given day, the hospital has a 0.5000 (or 0.5000 with four decimal places) chance of running out of sleeping tablets.

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Answer:

(-6 , 8 )

Hope this helps!

The value of the part of side of triangle given as x is equal to 11/3 in simplified fraction.

What is fraction?

A fraction is referred to as the part of something a whole in maths. For instance, if a pizza is cut into four equal pieces, each one is represented by a quarter (¼). Fractions can make calculations faster and easier through making it easier to distribute and judge different numbers. The depiction of fractions appears easier than when decimal values are used.

As given in the question, in the given triangle DE is parallel to AC,

It implies that the ration of the sides are equal.

i.e. AD/DB = CE/EB

Putting the value from the figure given in the question,

we get,

11/x = 9/3

11/x = 3

x = 11/3

Therefore, The value of the x is 11/3 in the form of simplified fraction.

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The value of the given triple integral is 486π/5.

What is volume?

A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes.

To evaluate the triple integral ∫∫∫B(x²+y²+z²)² dv using spherical coordinates,

we need to express the integrand and the volume element in terms of spherical coordinates and determine the limits of integration.

In spherical coordinates, the integrand is given by:

f(ρ, θ, φ) = (ρ²)² = ρ⁴

The volume element in spherical coordinates is:

dV = ρ² sin(φ) dρ dθ dφ

The limits of integration for the triple integral are:

0 ≤ ρ ≤ 3 (since B is the ball with center the origin and radius 3)

0 ≤ θ ≤ 2π (since θ ranges over the full circle)

0 ≤ φ ≤ π (since φ ranges over the upper hemisphere)

Therefore, we have:

∫∫∫B(x²+y²+z²)² dv

= ∫₀³ ∫₀²π ∫₀ᴨρ⁴ sin(φ) dφ dθ dρ (substituting in the expression for f(ρ, θ, φ) and dV)

= ∫₀³ ∫₀²π [-ρ⁴ cos(φ)] from φ=0 to φ=π dθ dρ (evaluating the integral with respect to φ)

= ∫₀³ ∫₀²π 2ρ⁴ dθ dρ (since cos(0) - cos(π) = 2)

= ∫₀³ 2πρ⁴ dρ (integrating with respect to θ)

= (2π/5) [ρ⁵] from ρ=0 to ρ=3 (integrating with respect to ρ)

= (2π/5) [3⁵ - 0⁵]

= (2π/5) (243)

= 486π/5

Therefore, the value of the given triple integral is 486π/5.

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Answer:

50.3

Step-by-step explanation:

75*0.33=24.75

75-24.75=50.25

50.25=50.3

Answer:

\(\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}\)

\(2(x + 2) - 5 = 3(x + 1) \\ 2x + 4 - 5 = 3x + 3 \\ 2x - 1 = 3x + 3 \\ - 1 - 3 = 3x - 2x \\ - 4 = x\)

New tables created with the make-table query retain the field data type of the underlying table(s).

Tables and graphs are visual representations of data that are used to organize data and reveal patterns and relationships. Tables and graphs are frequently used by researchers and scientists to report research findings.

A make table query retrieves data from one or more tables before loading the results into a new table. That new table can live in the database you're currently working in, or it can be created in a different database. Make table queries are typically used when you need to copy or archive data.

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Answer:

X is 2

Step-by-step explanation:

4 - 1 is 3

-10 + 13 is 3

Answer: x=9

Explanation:

8x-13=59

8x-13+(13)=59+(13)

simplify add the numbers

8x=72

Divide both sides of the equation by the same term

8x=72

8x/8=72/8

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

x=9

The option that best aligns with the purpose of association rules is: "Which combinations of items are frequently purchased together."

The metric that is not associated with an association rule is "Idistance." The purpose of association rules is to identify relationships or patterns between items in a dataset. Common metrics used in association rule mining include support, lift, and confidence. These metrics help measure the strength, significance, and reliability of the associations found.

To address the provided options: Association rules can help identify which items are likely overpriced by examining the relationships between price and other attributes. They can provide insights into which combinations of items are frequently purchased together, helping with market basket analysis and product recommendation systems. Association rules are not directly used to predict the number of items that can be expected to sell next year.

This type of prediction would fall more into the realm of forecasting and time series analysis. The concept of "clusters" typically pertains to clustering algorithms used in unsupervised learning. Association rules are not directly used to determine the number of clusters or cluster items. Therefore, the option that best aligns with the purpose of association rules is: "Which combinations of items are frequently purchased together."

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To determine the maximum number of 2/0 AWG THW aluminum compact conductors permitted in a 2½-inch PVC conduit, Schedule 80, we need to consult the applicable electrical code or standards.

The number of conductors allowed in a conduit is typically governed by factors such as fill capacity and heat dissipation.

The specific requirements may vary depending on the jurisdiction and the electrical code being followed. It is recommended to consult the local electrical code or a qualified electrician to ensure compliance with the regulations in your area.

They will be able to provide the precise guidelines and restrictions for conductor fill capacity based on the conduit size, type, and the specific application.

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Answer:

D 15 ounces

Step-by-step explanation:

If 5 ounces for 20 cupcakes

60/ 20 =3

5 x 3 = 15

Hope this helps ^-^

The total revenue from adult ticket sales (10a) must be greater than or equal to $1200.

Let's represent the number of student tickets sold as 's' and the number of adult tickets sold as 'a'.

The revenue from student ticket sales can be calculated as 7.50s, and the revenue from adult ticket sales can be calculated as 10a.

To satisfy the constraint that the drama club must make no less than $1200, we can write the following inequality:

7.50s + 10a ≥ 1200

This inequality states that the total revenue from student ticket sales (7.50s) plus the total revenue from adult ticket sales (10a) must be greater than or equal to $1200.

This inequality ensures that the ticket sales generate enough revenue to cover the show's costs. The drama club needs to sell enough tickets, both student and adult, to meet or exceed the minimum revenue requirement of $1200.

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Answer:  b

Step-by-step explanation:

I think

Answer:

the answer is 4

Step-by-step explanation:

Answer:

13+5-14 is equaled to 4 so if i do 18-14 is will still give me 4 because 13+5 is 18 so 18- 14 is 4