The perimeter of a square is 48 cm.
What is the length of the diagonal?

The volume of the cylinder with radius 7cm and height 19 cm will be equal to 2923/34 cm³.

Cylinder is a 3 dimensional figure which can be formed by rolling a piece of paper. It consists of a diameter and a height. Cylinder can be open from both sides, top and bottom or it can be closed from both the sides, top and bottom. The volume of the cylinder can be calculated by using the formula expressed below

Volume of cylinder = π×r²×h

where r is the radius, h is height and value of π = 3.14

Volume of cylinder = 3.14×(7cm)²×19cm

Volume of cylinder = 2923/34 cm³

So, the required volume is 2923/34 cm³.

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The probability that 117 or fewer of 205 randomly selected marketing researchers would disapprove of the practice = 0.0104.

When the sample size is large, the binomial distribution is employed instead of the normal approximation since the calculation becomes more complicated when the sample size is large.

Now,

Let the sample size be n and the number of people who disapprove of the practice be x.

Then, n = 205, x = 117

Then, by normal approximation, the value of mean (μ) will be given by:

μ = np = 205(0.65) = 133.25

Standard deviation (σ) = \(\sqrt{np(1-p)}\)

σ = 205(0.65)(1 - 0.65) = 133.25(0.35) = 6.83

The probability that 117 or fewer of 205 randomly selected marketing researchers would disapprove of the practice:

P(x ≤ 117) = P (x < 117 + 0.5) (By Continuity correction Factor)

=> P(x ≤ 117) = P ( x < 117.5)

=> P(x ≤ 117) = P ( z < \(\frac{117.5 - 133.25}{6.83}\))

=> P(x ≤ 117) = P ( z < -2.31)

=> P(x ≤ 117) = 0.0104

Hence, the probability that 117 or fewer of 205 randomly selected marketing researchers would disapprove of the practice = 0.0104.

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Answer:

- 10x

Step-by-step explanation:

(2x - 3)(4x + 1)

each term in the second factor is multiplied by each term in the first factor, that is

2x(4x + 1) - 3(4x + 1) ← distribute parenthesis

= 8x² + 2x - 12x - 3 ← collect like terms

= 8x² - 10x - 3 ← in standard form

with middle term - 10x

Answer:

Percent means hundredths or per hundred and is written with the symbol, %. Percent is a ratio were we compare numbers to 100 which means that 1% is 1/100. In a box of eight donuts two have pink sprinkles. ... Fractions, percent and decimals can all represent the same number, but they are expressed differently.

Step-by-step explanation:

i hope this is what u are looking for

The answer is (a) Only I and III are correct.

Now, We can find the first and second partial derivatives of f(x,y):

f(x, y) = x³ y + 3x² y + y² + 1

\(f_{x}\) = 3x² y + 6xy

\(f_{y}\) =x³ + 2xy

\(f_{xx}\) = 6xy + 6x²

\(f_{yy}\) = = 2x

\(f_{xy}\)  = 3x² + 2y

Now we can evaluate each of the statements using the Second Partials Test:

I. f(x, y) has a saddle point at (-3,0)

To check if this statement is true, we need to evaluate the second partial derivatives at (-3,0):

\(f_{xx}\) (-3,0) = 0

\(f_{yy}\) (-3,0) = -6

\(f_{xy}\)(-3,0) = -9

The discriminant D = 0 - (-9)² = 81 is positive and \(f_{xx}\) < 0, which means that we have a saddle point.

Therefore, statement I is true.

II. f(x,y) has a relative maximum at (0,0)

To check if this statement is true, we need to evaluate the second partial derivatives at (0,0):

\(f_{xx}\)(0,0) = 0

\(f_{yy}\)(0,0) = 0

\(f_{xy}\)(0,0) = 0

The discriminant D 0 - 0 = 0 is zero and \(f_{xx}\) = 0, which means that we cannot determine the nature of the critical point using the Second Partials Test alone.

Therefore, statement II is uncertain.

III. f(x,y) has a relative minimum at (-2,-2) To check if this statement is true, we need to evaluate the second partial derivatives at (-2,-2):

\(f_{xx}\)(-2,-2) = -24

\(f_{yy}\)(-2,-2) = -4

\(f_{xy}\)(-2,-2) = -8

The discriminant D = (-24)(-4) - (-8)² = -448 is negative and \(f_{xx}\)  < 0, which means that we have a relative maximum.

Therefore, statement III is false.

From our analysis, we can conclude that only statement I is correct.

Therefore, the answer is (a) Only I and III are correct.

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The correct statements are; function g is positive over (-∞, ∞), function g has a y-intercept of (0,4) and function g decreasing over the interval (-∞, 0)

A function is defined as a relation between a set of inputs having one output each.

Given that, function g is a transformation of the parent exponential function and the domain of function g is x > 0

Studying the graph, we can conclude that,

function g is positive over (-∞, ∞)

function g has a y-intercept of (0,4)

function g decreasing over the interval (-∞, 0)

Hence, The correct statements are; function g is positive over (-∞, ∞), function g has a y-intercept of (0,4) and function g decreasing over the interval (-∞, 0)

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Answer:

\(f = 9 \div 5c + 32\)

\(f - 32 = 9 \div 5c\)

\(5(f - 32) = 9c\)

\(5(f - 32) \div 9= 9c \div 9\)

Step-by-step explanation:

C = 5(F–32)/9

everything can be found in the solving hope this helps. if you have any worries or doubts don't hesitate to ask me back

Answer:C

Step-by-step explanation:

F=9/5 x C +32

F = -32 =9/5 x C

5/9 (F-32)+C

Answer:

12.1x+t

Step-by-step explanation:

since we do not get a specific amount we must add 4.8 and 7.3 and substitute the amount the driver earns per mile with x and use t as a variable if they charge something like $5 just to get in before driving

The number of students who registered for both robotics and app development is 70.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Total members = 280

The number of members who registered for the robotics class.

= 75% of 280

= 3/4 x 280

= 3 x 70

= 210

The number of members who registered for the app development class

= 50% of 280

= 1/2 x 280

= 140

We see that,

210 + 140 = 350

But we have 280 members.

So,

The number of students who registered for both robotics and app development.

= 350 - 280

= 70

Thus,

The number of students who registered for both robotics and app development is 70.

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You cant simplify further than that. Look at the file attached to this.

EDIT:

If that was wrong, try,

Answer:

16

Step-by-step explanation:

Answer:

I was wondering the same thing. maybe it is specific for certain people.

Step-by-step explanation:

Answer:

i think you have to be a certain rank

Step-by-step explanation:

$2094.28 interest will she pay by the time the loan is repaid.

What is compounded monthly?

Theoretically, continuously compounded interest means that an account balance continuously earns interest as well as reinvesting that interest into the balance so that it too earns interest.

As we know the formula of per month installments

\(E.M.I = \frac{P*r*(1+r)^n}{(1+r)^n^-^1}\)

By putting the value of P (loan applied for)=$5500

r (Monthly rate of interest)  \(= \frac{6.8}{12*100}\)

n = number of monthly installments = 10 × 12 = 120

\(E.M.I = \frac{5500*(\frac{6.8}{12*100} )(1+\frac{6.8}{1200} )^1^2^0}{(1+\frac{6.8}{1200} )^1^2^0-1}\\ E.M.I= \frac{5500*0.00567*1.971}{1.971-1}\\ E.M.I = \frac{61.461}{0.971} \\E.M.I = 63.29\)

E.M.I.=$63.29

Total Installments of loan =120

Therefore total amount paid against loan = $63.39 × 120 = 7594.28

So interest paid = 7594.28 - 5500= $2094.28

Hence, $2094.28 interest will she pay by the time the loan is repaid.

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F(x) = x! × x² - 2² + 3²

F(5) = 5! × 5² - 2² + 3²

F(5) = 120 × 25 - 4 + 9

F(5) = 3.000 - 4 + 9

F(5) = 2.996 + 9

F(5) = 3.005

I hope this helps

Answer:

domain: {-8, 12, -9, -11}

range: {5, 29, -29}

Step-by-step explanation:

hope this helps :)

Answer

root 354

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

(√19 -√7)(√19 +√7)

( a +b)( a -b) = a²-b²

(√19)² -(√7)² = 19 -7 = 12

Answer:

x=86

Step-by-step explanation:

we know that all the angles in a triangle add up to 180 degrees.

if you add 74+20, you get 94. then, subtract 94 from 180 to get 86! sorry if this is wrong i tried my best T^T

Answer:

1/2, or 50%

Step-by-step explanation:

1 Dice has 6 possible outcomes, rolled twice equal 12 "different" outcomes, since there are 3 numbers that are 3 or below, and 3 numbers about 3, then the change of getting a number above three is 1 in 2.

Geographic area D has an area of /8 square units.

Area is a phrase used to describe how much room a 2D form or surface occupies. Area is measured in square units, such as cm2 or m2. The area of a form is computed by dividing its length by its breadth.

Area is the entire amount of space occupied by a plain (2-D) area or an object's form. The area of a planar figure is the area that its perimeter encloses. The quantity of unit square that cover a closed figure's surface is its area.

0 = √θ

θ = 0

Similarly, the curve intersects the \(x-axis\)  again when \(x = r cos\) θ = √θ cos θ = 0, which implies θ = π/2.

Thus, the limits of integration for θ are \(0\) and π/2. For r, the curve is given by \(r =\) √θ, so the limits of integration are \(0\) and √(π/2).

Evaluating this integral gives:

∫(θ=0 to π/2) [\(1/2 r^2\)] (r=0 to √(π/2)) dθ

= ∫(θ=0 to π/2) [\(1/2\) (π/2)] dθ

= π/8

Therefore, the area of region D is π/8 square units.

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Generate categorical variables from continuous data by defining categories and assigning values, but you cannot obtain continuous data from categorical variables due to the loss of precision during the conversion process.

The reason why it is possible to generate categorical variables from continuous data, but not possible to obtain continuous data from categorical variables is due to the inherent nature of each type of variable.
To generate categorical variables from continuous data, you can follow these steps:
1. Define categories or groups based on a specific criterion. For example, dividing people into "short", "medium", and "tall" based on their heights.
2. Assign the continuous data values to the appropriate categories based on the defined criterion. For example, people with height less than 5 feet are considered "short", between 5 and 6 feet as "medium", and above 6 feet as "tall".
However, obtaining continuous data from categorical variables is not possible because categorical data does not have the same level of precision or granularity as continuous data. For instance, if you only know that someone is "tall," you cannot determine their exact height, as the information is lost when converting continuous data to categorical data.

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The number of hours in a week a student played basketball is \(11\frac{3}{8}\).

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, One week a student exercised 3 hours at school and another 1/4 of an hour at home.

Also given that 1/4 of the exercise of a student came from playing basketball.

Therefore, Time playing basketball is one-fourth of the total time exercised which is,

= (3 + 1/4)×(1/4).

= (13/4)×(1/4).

= (13/8).

Therefore, In a week the student played (13/8)×7.

= 91/8.

= \(11\frac{3}{8}\).

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Answer: greater than or <

Step-by-step explanation:

It’s < on edgen. For the comparing unlike fractions using models section.

Answer:

10*4.5

length=10cm, width=4.5cm

Hint: 2b^2+b-45=0

I hope it will be useful.

Answer:

D. 4

Step-by-step explanation:

\( [(p^2) (q^{-3}) ]^{-2}.[(p)^{-3}(q)^5] ^{-2}\\\\

=[(p^2) (q^{-3}) \times(p)^{-3}(q)^5 ]^{-2}\\\\

=[(p^{2}) \times(p)^{-3} \times (q^{-3}) \times(q)^5 ]^{-2}\\\\

=[(p^{2-3}) \times (q^{5-3}) ]^{-2}\\\\

=[(p^{-1}) \times (q^{2}) ]^{-2}\\\\

=(p^{-1\times (-2)}) \times (q^{2\times (-2) }) \\\\

=p^{2}\times q^{-4} \\\\

= \frac{p^2}{q^4}\\\\

= \frac{(-2)^2}{(-1)^4}\\\\

= \frac{4}{1}\\\\

= 4\)

Answer:

Step-by-step explanation:

tan29=32/x

x=32/(tan29)

x=58m

So the boat is 58 meters from the base of the lighthouse.

Each side of cube is 100 cm.

In Maths or in Geometry, a Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges. It is also said to be a regular hexahedron.

Given that,

Volume of cube = 1 cubic meter

We know that,

1 m = 100 cm

Also  volume of cube = \(a^{3}\)

Then,

Volume of cube = 1000000 cm

                   \(a^{3}\)  = \(100^{3}\)

                   a = 100 cm

Hence, Each side of cube is 100 cm.

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Answer:

The answer is 12.

Step-by-step explanation:

We need to find the value of the given expression 6a+4b−6 when a = 1 and b = 3

Put a = 1 and b = 3 in the above expression.

6a+4b−6 = 6(1) +4(3) -6

= 6+12-6

= 12

So, the value of the given expression is equal to 12.

Answer:

20 percent

40 percent

20 percent

20(.008) percent

Step-by-step explanation:

6) 54 - 45 = 9

45 / 9 = 5

100 / 5 = 20

20 percent

7) 60 - 36 = 24

60 / 24 = 2.5

100 / 2.5 = 40

40 percent

8) 30 - 24 = 6

30 / 6 = 5

100 / 5 = 20

20 percent

9) 24.99 - 19.99 = 5

24.99 / 5 = 4.998

100 / 4.998 approx. = 20.008

20.008 percent (or rounded 20 percent)