I have a lot of trouble with dividing does anyone have a tip for it

The percentage of men who didn't expect to meet the height requirements be 96.29%

Given, that the heights of men are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 inches.

Find the percentage of men who meet the height requirements.

z(64) = (64-69)/2.8 = 1.7857

z(78) = (78-69)/2.8 = 3.2143

P(64 <= x <= 78) = P(1.78457<= z <=3.2143) = 0.0371 = 3.71%

So, the percentage of men who meet the height requirements be 3.71%

Now, the percentage men who didn't expect to meet the height requirements be

100 - 3.71 = 96.29%

Hence, the percentage of men who didn't expect to meet the height requirements be

96.29%

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Answer:

59/15

Step-by-step explanation:

8/5 + 7/3                       Multiply the numerator and denominator by the LCF of the denominator

(3/3) 8/5 + 7/3 (5/5)      Multiply

24/15 + 35/15                Add the numerators

59/15

Answer:

Home Stores

4.85×5

= 24.25

Paint Supplies

£18

The first statement is false and the second statement is true.

Probability is the branch of discrete mathematics. It is used for calculating how likely an event is to occur or happen. There are two types of random variables.

A random variable that takes a finite number of possible values can be defined as a Discrete random variable. A random variable that takes an infinite number of possible values can be defined as a Continuous random variable. A continuous random variable consists of only continuous values.

Continuous random variables are defined at intervals of values. Continuous random variables are represented by the area under a curve.

⇒  The number of cars that go through the drive-in window at a local bank each hour.

The number of cars can be counted and can be an integer like 10, 20,100 etc.

∵ The number of cars is countable it is not an example of a continuous random variable        

⇒ The high daily temperature in Anchorage.

High daily temperature can be an integer or function like 60°, 120° etc

∵ The high daily temperature is an example of a continuous random variable.

Therefore, The number of cars that go through the drive-in window at a local bank each hour is not an example of a continuous random variable and The high daily temperature in Anchorage is an example of a continuous random variable.

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The complete question is

Dimensions 5in x 10in x 10in will yield a box with a max. volume of  500 cubic inches.

Volume =  height x length x width

Considering 'x' as the length of the square corners that has been cut out from the cardboard and also, that is height of the cardboard box.

Square corners are cut out so that the sides can be folded up to make a box, cardboard sides would reduce by 2x

Therefore,

V = x  (30-2x) (30-2x)                --------------------------------- (1)

V=( 30x - 2x²) (30-2x)

V= 900x- 60x² - 60x² + 4x³

V=  4x³ - 120 x²+ 900x

Taking derivative with respect to x:

dV /dx = 12x² - 240 x +900

dV/dx = 4 (3x² - 60x +225)

For maximum dV/dx, make it equal zero

    dV/dx = 0

⇒  4 (3x² - 60x +225)=0

⇒ 3x² - 60x+225=0   (taking 3 common)

⇒ x² - 20x + 75 =0

Solving this quadratic equation, we get,

x² - 15x -5x + 75 =0

x(x-15) - 5(x-15) =0

Either (x-15)=0

    x=15

Or,  x-5=0

   x = 5

If we substitute x = 15 in equation (1), volume becomes zero.

Therefore, x cannot be 15

When x= 5, putting in the equation (1)

V = 5  (30-2(5)) (30-2(5))

V= 5 (10) (10)

V= 500 cubic inches,

Therefore, Dimensions 5in x 10in x 10in will yield a box with a max. volume of  500 cubic inches

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The likelihood that at least 150 people will collaborate and react in a fresh sample of 400 telephone numbers is 0.9953.

The probability informs us of the likelihood that an event will occur. It is necessary for the likelihood to fall between 0 and 1. The likelihood of success is 1, whereas the probability of failure is 0.

Given, that the market research  company has a history of having a 44% response rate for its telephone surveys.

Therefore, p=44%=0.44=μ

n=400

p=150/400

p=0.375

The standard deviation is then equal to,

σ=√(p(1-p))/n

σ=√(0.44(1-0.44))/400

σ=√(0.44×0.56)/400

σ=0.025

Using the z-table, the values are as follows:

z=(p-μ)/σ

z=(0.375-0.44)/0.025

z=-2.6

p(p>0.375)

=p(z>-2.6)

=1-p(z<-2.6)

=1-0.0047

=0.9953

=99.53%

Therefore, the likelihood that at least 150 people will participate and provide information in a new sample of 400 telephone numbers

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The Maximum and Minimum values of x is  = (3,30)

The maximum of a quadratic function occurs at

x = − b/2a

If  a is negative, the maximum value of the function is

f ( − b/2a).

f max x  =ax^2+bx+c occurs at

x = −b/2a

Finding the value of

x = −b/2a

Substitute in the values of a and b.

x = − 18/2(3)

Simplify

x = -3

Replace the variable x with -3 in the expression

f (-3) = -3(-3)^2+18(-3)+3

f(-3) = - 27 +54 +3

f(-3) = -30

f(3) = 30

The maximum   of -3x^2+18x+3 = (3,30)

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Answer: -64

Step-by-step explanation:

(8−2 • 35)−2

8-70-2

8-72

-64

Answer:

(8 - 2 • 35) - 2 = -64

Step-by-step explanation:

Given problem,

→ (8 - 2 • 35) - 2

Let's solve the problem,

→ (8 - 2 • 35) - 2

→ (8 - (2 × 35)) - 2

→ (8 - 70) - 2

→ -62 - 2

→ -64

Hence, the answer is -64.

The recommended screen size for the television is 59.85 inches.

An expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

In this case, the expression for the size of the television is given as:

S = 0.228x² + 8.154x - 8.3

where x = 7 feet

S = 0.228x² + 8.154x - 8.3

S = 0.228(7)² + 8.154(7) - 8.3

S = 11.172 + 57.078 - 8.4

S = 59.85

The size is 59.85 inches.

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There are no values within the interval that satisfies the condition stated by Rolle's theorem.

In accordance to Rolle's theorem, a function existing within an closed interval [a, b] has at a least a value c within that interval such that the first derivative f'(c) is equal to the slope of the secant line that passes through the two interval limits. That is to say, Rolle's theorem is defined by the following formula:

f'(c) = [f(b) - f(a)] / (b - a), where a < c < b

Where:

First, evaluate the function f(x) at x = - 4:

x = - 4

f(- 4) = (- 4)³ - 4 · (- 4)² - 16 · (- 4) + 8

f(- 4) = - 64 - 64 + 64 + 8

f(- 4) = - 56

Second, evaluate the function f(x) at x = 4:

x = 4

f(4) = 4³ - 4 · 4² - 16 · 4 + 8

f(4) = 64 - 64 - 64 + 8

f(4) = - 56

Third, determine the first derivative of the function f(x) and evaluate it at x = c:

f(x) = x³ - 4 · x² - 16 · x + 8

f'(x) = 3 · x² - 8 · x - 16

x = c:

f'(c) = 3 · c² - 8 · c + 16

Fourth, find the roots of the quadratic function found in the previous step.

3 · c² - 8 · c + 16 = 0

In accordance with the quadratic formula, the roots of the expression are 4 / 3 + i 4√2 / 3 and 4 / 3 - i 4√2 / 3, which are not real numbers.

Fifth, determine whether Rolle's theorem are applicable on the roots found in the previous step.

Since the roots of the polynomial 3 · c² - 8 · c + 16 are not real numbers, there are no number within the interval that satisfies Rolle's theorem.

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the population would be 7,518,400

469,900 • 2^20/5

* 20/5 is part of the exponent

Answer:

7518400

Step-by-step explanation:

Doubling time model:

         [tex]P= P_o 2^{\frac{t}{D}}[/tex]

Here, P is the initial value, D is the time taken to double the quantity, t is the given period of time.

 [tex]P_o = 469,900\\\\\\D = 5 \ years\\t = 20 \ years[/tex]

                    [tex]P = 469,900 * 2^\frac{20}{5}\\\\P = 469,900 * 2^4[/tex]

                         = 469,900 * 2 * 2 * 2 * 2

                         = 7518400

Answer:

x=35

Step-by-step explanation:

29+6=35

btw are you sure that you are in highschool???

Answer:

35

Step-by-step explanation:

29+6 is 35 u sure in high school?

The probability that at most eight of ten independently selected specimens have a hardness less than 73.84 is 0.2639.

Probability:

The chance that a particular event (or set of events) will occur is expressed on a linear scale from 0 (impossibility) to 1 (certainty), also expressed as a percentage between 0 and 100%. The analysis of events governed by probability is called statistics.

Here we have to find the probability:

The probability that each specimen has a hardness less than 73.84 is:

p =Ф( Z< 973.84 - 70)/ 3)

= Ф(Z<1.28 ) = 0.899

P(X<=8) = 1 - P(X=9) - P (X=10)

= 0.2639

So out of 10 specimens, the probability that 8 or fewer have a hardness less than 73.84 is 0.2639

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The number of points that are expected to lie inside the circle is 785.

A circle is a closed two-dimensional figure. In a circle, all points are equidistant from the centre.

As per the given question, the circle is inscribed in a square,

⇒ The area of the circle   =   π × r × r

                                           =   π × 1 × 1

∴ The area of the circle    =   π

⇒ The area of the square   =   s × s

                                             =   2 × 2

∴The area of the square    =    4  

The probability that a randomly selected point inside the square will lie inside the circle,

p   =   π / 4

The probability that a randomly selected point inside the square will lie outside the circle,

q   =  1 - p

q   =  1 - ( π / 4 )

⇒ Binomial trial with n   =   1000 and  p   =   π / 4,

Number of points expected to lie inside the circle(N)  =   n × p

                                                                                         =   1000 × ( π / 4 )

                                                                                         =   1000 × ( 3.14 / 4 )

                                                                                         =   1000 × ( 0.785 )

                                                                                  N    =   785  

Therefore, 785 expected points lie inside the circle.  

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The complete question is

Answer: 56 square

Step-by-step explanation:

Answer: 31

Step-by-step explanation:

the prime factorization of 961 is 31×31  the value of the square root of 961 is 31.

Hope this helps! Have a good day! :)

Answer:

b = 4A-a-c-d

Step-by-step explanation:

A = (a+b+c+d)/4 |*4

4A = a+b+c+d |-a-c-d

4A-a-c-d = b

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\begin{cases} h=60\\ k=50 \end{cases}\implies y=a(x-60)^2+50\qquad \textit{we also know that} \begin{cases} x=0\\ y=30 \end{cases} \\\\\\ 30=a(0-60)^2 + 50\implies -20=a(-60)^2\implies -20=3600a \\\\\\ \cfrac{-20}{3600}=a\implies -\cfrac{1}{180}=a\hspace{5em}\boxed{y=-\cfrac{1}{180}(x-60)^2+50} \\\\\\ \textit{when x = 80, what is "y"?}\qquad y=-\cfrac{1}{180}(80-60)^2+50 \\\\\\ y=-\cfrac{20^2}{180}+50\implies y=-\cfrac{20}{9}+50\implies y=\cfrac{430}{9}\implies y=47\frac{7}{9}[/tex]

The equation of the relation x and y is y = 4x  - 4

The relation follows a linear pattern. Therefore, the relationship is linear.

A linear relationship can be represented in different form such as slope intercept form and point slope form.

Let's represent the equation in slope intercept form.

y = mx + b

where

Therefore,

m = 4 - 0 / 2 - 1

m = 4 / 1

m = 4

Therefore, let's find the y-intercept using (1, 0)

y = 4x + b

0 = 4(1) + b

b = -4

Therefore, the equation is y = 4x - 4

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The probability that we will see at least two meteors in the first minute is 1251.5.

So, the probability that we will see at least 2 meteors in the first minute:

Then, in 1 minute:

Now, at least 2 meteors in 1 minute:

Solve as follows:

Therefore, there is a 1251.5 percent probability that we will observe two meteors or more in the first minute.

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The amount of money the social worker can spend is $146.59 ≤ m ≤ $293.17

An equation shows the relationship between two or more numbers and variables.

Let m represent the amount of money the social worker can spend.

A social worker earns an average bi-weekly net pay of $1,465.87. Hence:

Monthly revenue = 2 * $1465.87 = $2931.74

For a debt of 5%:

m = 5% of $2931.74 = 0.05 * $2931.74 = $146.59

For a debt of 10%:

m = 10% of $2931.74 = 0.1 * $2931.74 = $293.17

$146.59 ≤ m ≤ $293.17

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Answer:

$158.80 ≤ m ≤ $317.61

Step-by-step explanation:

Hello,

So first step is we would use the bi-weekly net pay of $1465.87 then times it by 26 so it would look like this

1465.87 × 26 = 38112.62

Then we would divide 38112.62 by 12

38112.62 ÷ 12 = 3176.0516

Then, we would determine how much the social worker can spend if the monthly budget for debt is between 5% and 10%.

3176.0516 × 5% = 158.80

3176.0516 × 10% = 317.61

So, therefore the answer is $158.80 ≤ m ≤ $317.61.

The salary of Kayden after 4 years will be $ 221,952.00

The annual salary is $48000

Salary rise is $4500

The rate of the this salary can be found out by [tex]\frac{48,000- 4500}{48000}[/tex]

= [tex]\frac{43,500}{48,000}[/tex] × 100

= 90.6 %

The time interval is 4 years

thus the prinicipal amount is given as $48000.

thus simple interest is P × R × T/ 100

which when calculated will give us

simple interest = $221,952.00

$221,952.00 is the total amount accrued from simple interest on a principal of $48,000.00 at a rate of 90.6% per year for 4 years. This includes both principal and interest.

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The exact values of the six trigonometric functions for the point (x, y) = (20, 21) are listed below:

sin θ = 21 / 29, cos θ = 20 / 29, tan θ = 21 / 20, cot θ = 20 / 21, sec θ = 29 / 20, csc θ = 29 / 21

Points in rectangular format are points of the form (x, y), where x and y represent the position of the point respect to the origin and along the respective orthogonal axis.

The line segment between the origin and that point represents the hypotenuse of a right triangle. Then, we can determine the six trigonometric functions by using the following formulae:

sin θ = y / √(x² + y²)

cos θ = x / √(x² + y²)

tan θ = y / x

cot θ = x / y

sec θ = √(x² + y²) / x

csc θ = √(x² + y²) / y

If we know that x = 20 and y = 21, then the exact values of the trigonometric functions are:

sin θ = 21 / √(20² + 21²)

sin θ = 21 / 29

cos θ = 20 / √(20² + 21²)

cos θ = 20 / 29

tan θ = 21 / 20

cot θ = 20 / 21

sec θ = √(20² + 21²) / 20

sec θ = 29 / 20

csc θ = √(20² + 21²) / 21

csc θ = 29 / 21

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Answer:

OK, so we know that 50% of the 80 marbles is 40, but we are supposed to find 45% of it, so basically it is 36 marbles he has found, I hope this is right!

Love from Ella

The percent of the sophomores in the class of 28 sophomores and juniors is 42.86%.

According to the question,

We have the following information:

Total number in a class including sophomores and juniors = 28

Number of juniors in the class = 16

Now, we have the number of sophomores in this class:

Total number in the class- Number of juniors in the class

28-16

12

Now, we can easily find the percent of sophomores in the class by following the given steps:

Number of sophomores*100/Number of sophomores and juniors

1200/28

42.86%

Hence, the percent of the sophomores in the class of 28 sophomores and juniors is 42.86%.

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The value of x is 15

If two angles sum to 90 degrees, they are said to be complimentary angles. In other terms, a right angle is created when two complementary angles are combined (90 degrees). If the sum of angles 1 and 2 equals 90 degrees (i.e., angle 1 plus angle 2 = 90°), then the angles are complementary and are referred to as one another's complements.

∠1 and ∠2 are complementary angles i.e the sum of ∠1 and ∠2 is 90° .

Thus

∠1 + ∠2 = 90°

x° + (3x+30)° = 90°

x + 3x + 30 = 90

4x = 90-30

4x = 60

x = 15

Therefore the value of x is 15.

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[tex]{ \bold{ \sqrt[3]{V}}} [/tex]

Step-by-step explanation:

[tex]{ \green{ \sf{V = s³}}}[/tex]

Cube on both sides, then

[tex]{ \green{ \sf{s = \sqrt[3]{V}}}} [/tex]

Lamp that can be bought with $12 is 21

What is an example of a unitary method?

A single or distinct unit is referred to by the word unitary. Therefore, the goal of this strategy is to establish values in reference to a single unit. The unitary technique, for instance, can be used to calculate how many kilometers a car will go on one litre of gas if it travels 44 km on two litres of fuel.

How is the unitary method divided?

This can be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees. In order to determine the value of one unit, we essentially divide the total value of a set of items by the number of units. The unitary approach is this.

Given that

Kwai bought 15 lamp for $8.25

$8.25 = 15 lamp

$1 = 15/8.25

$12 = (15/8.25)*12 = 21 approx.

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