PLS HELP ME OUT I CAN'T FIGURE IT OUT

The probability that a randomly selected score from this normal distribution is less than x = 76 is 0.6915

To find the probability that a randomly selected score from a normal distribution with mean µ = 70 and standard deviation σ = 12 is less than x = 76,

we need to use the standard normal distribution and calculate the z-score corresponding to x = 76, and then look up the corresponding area under the standard normal curve using a standard normal distribution table.

The z-score is calculated as:

z = (x - µ) / σ

z = (76 - 70) / 12

z = 0.5

By using a standard normal distribution table, we can find the area under the curve to the left of z = 0.5, which is 0.6915.

Therefore, the probability that a randomly selected score from this normal distribution is less than x = 76 is 0.6915 or approximately 69.15%.

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Answer:

Step-by-step explanation:

188lbs = 85.2754 kg

So the probability that at least four of the 24 soup cans in a shipping box are dented is approximately 0.055, or 5.5%.

Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1. An event with probability 0 is impossible, while an event with probability 1 is certain. In probability theory, an event is any outcome or set of outcomes of a random process or experiment. The probability of an event is determined by calculating the ratio of the number of ways the event can occur to the total number of possible outcomes. Probability is used in a wide variety of fields, including mathematics, statistics, physics, engineering, finance, and economics, to model and analyze random phenomena and make predictions about future events.

Here,

Let X be the number of dented soup cans in a box of 24. Then X follows a binomial distribution with parameters n = 24 and p = 0.13, since each can has a probability of 0.13 of being dented, and the cans are independent.

We want to find the probability that at least four cans are dented, which can be written as P(X ≥ 4). This is equivalent to 1 - P(X < 4), where P(X < 4) is the probability that fewer than four cans are dented. We can use the binomial cumulative distribution function (CDF) to find P(X < 4), and then subtract it from 1 to get P(X ≥ 4).

Using a binomial CDF table, we find that P(X < 4) ≈ 0.945. Therefore, P(X ≥ 4) ≈ 1 - 0.945 = 0.055, or about 5.5%.

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The right choice for the equation is y+9=4(x-3). The Option B is correct..

An equation of the line refers to a linear equation having a degree of one. The equation contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

First thing to do is to solve each of these for y.  The first one is y=-4x-3; the second one is y=4x-21; the third one is y=4x+21; the fourth one is y=-4x+3.  From that, you can tell the positive slopes are found in the second and third equations.  

Those are the ones we will test now for the point (3, -9).  y=-9 and x=3, so let's fill in accordingly.  The second equation filled in is -9=4(3)-21.  

-9=12-21 and -9=-9.  So the second one works.  Just for the sake of completion, let's do the same with the third: -9=4(3)+21.  Does -9=12+21?  Of course, it doesn't. Our equation is the second one above, y+9=4(x-3).

The complete question is given below:

Select the equation that contains the point (3, -9), and in which the graph of the line has a positive slope.

y – 9 = –4(x + 3)

y + 9 = 4(x – 3)

y – 9 = 4(x + 3)

y + 9 = –4(x - 3)

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The mean of the discrete probability is 3.57 and the standard deviation of the discrete probability is 1.78.

The outcomes of events that can be counted or are finite are included in a discrete probability distribution.

Contrast this with continuous distributions, where results can occur anywhere along a continuum.

The binomial, Poisson, and Bernoulli distributions are typical examples of discrete distributions.

Data tests of "counts" or "how many instances" an incident occurs are frequently used in these distributions.

Discrete distributions are utilized in finance to price options and predict recessions or market shocks.

Using the graphing calculator, the mean and standard deviation of the discrete probability is calculated as follows.

Hence, the mean of the discrete probability is 3.57 and the standard deviation of the discrete probability is 1.78.

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The conversion of 240 minutes in hours is 4 hours.

Hours and minutes are units of time used to measure the duration of events or the amount of time that has elapsed. An hour is a unit of time equal to 60 minutes or 3,600 seconds. It is typically used to measure the duration of longer events, such as a movie, a class, or a workday.

To convert 240 minutes to hours, you can divide 240 by 60 (since there are 60 minutes in one hour).

240 minutes / 60 = 4 hours

Therefore, 240 minutes is equivalent to 4 hours.

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The slope and y - intercept of the line of best fit are 1.22 and -0.09 respectively.

a.

To fill the table of the residuals, we can approach it as;

residual = food waste - number of people.

3.2 - 2 = 1.4

2.5 - 3 = -0.5

8.9 - 4 = 49

4.7 - 4 = 0.7

3.5 - 4 = -0.5

4 - 4 = 0

5.3 - 5 = 0.3

4.6 - 5 = -0.4

7.8 - 5 = 2.8

3.2 - 6 = -2.8

12 - 8 = 4

b.

The equation is given as;

y = 1.22x - 0.09

The slope of the line of best fit is 1.22

c.

The y - intercept is given as -0.99

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Answer:

Being lost on this problem is well-earned.  I don't know what the question is looking for.  There appear to be no options, other than to identify some unique feature of the calculation.

If a polynomial has one root in the form of (a+[tex]\sqrt{b}[/tex]) and a second root in the form of (a-[tex]\sqrt{b}[/tex]) the polynomial must have the form of a^2 + b.

Step-by-step explanation:

I'll take a guess at how this problem wants the sentence to end.  We are told there are two roots a polynomial.  We can write the polynomial as the product of both roots, which would be equal to zero:

(a+[tex]\sqrt{b}[/tex])*(a-[tex]\sqrt{b}[/tex])

Multiply the factors to obtain:

a^2 - a[tex]\sqrt{b}[/tex] + a[tex]\sqrt{b}[/tex] + ([tex]\sqrt{b}[/tex] )^2

a^2 + b

So one might say:

If a polynomial has one root in the form of (a+[tex]\sqrt{b}[/tex]) and a second root in the form of (a-[tex]\sqrt{b}[/tex]) the polynomial must have the form of a^2 + b.

But that's my guess at something that would be a true statement.

The equivalent expression to (2² x 3^4)^3 is given as follows:

2^6 x 3^12.

(first option).

The power of a power rule is used when a single base is elevated to multiple exponents.

Then the simplified expression is obtained keeping the base, while the exponents are multiplied.

Hence the exponents for this problem are given as follows:

And the simplified expression is of:

2^6 x 3^12.

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The linear function on the graph is:

f(x) = -x/4 + 13

And the domain is 0 ≤x ≤43

A general linear function is written as:

f(x) =a*x + b

Where a is the slope and b is the y-intercept.

On the graph we cans ee that the y-intercept is y = 13 (initial amount of gasoline) then:

f(x) = a*x + 13

To find the value of the slope we can use the fact that the line passes through (20, 8), replacing these values we will get:

8 = a*20 + 13

8 - 13 = a*20

-5 = a*20

-5/20 = a

-1/4 = a

So the function is

f(x) = -x/4 + 13

And the domain is the set of possible values of x.

We start at x = 0

And the maximum of the domain is the value such that the fuell is totally consumed, it is:

0 = -x/4 + 13

x/4 = 13

x = 4*13 = 52

The domain is 0 ≤x ≤43

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The volume of the composite figure would be 120 m³.

An algebraic expression is a combination of terms both constants and variables. For example -

2x + 3y + z

3x + y

Given is the composite figure as shown in the image.

We can write the volume of the image as -

V = {6 x 5 x 2} + {1/2 x 5 x 4 x 6}

V = {60 + 60}

V = 120 m³

Therefore, the volume of the composite figure would be 120 m³.

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If the start time is at 3:25 pm and 6 hours and 35 minutes elapse, then the finishing time will be 10:00 p.m.

To find the finishing time, you can add the elapsed time to the starting time. The main data provided by the problem are as follows:

First, what we need to do is to add up the minutes:
25 minutes + 35 minutes = 60 minutes (or 1 hour)

Then, add the hours:
3 hours + 6 hours + 1 hour (from the minutes) = 10 hours

In conclusion, , the finishing time is 10:00 p.m.

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The value of p(10) we get as  123.

What is Quadratic polynomial ?

A quadratic polynomial is a polynomial of degree 2, which means that it is a polynomial expression in one variable (usually written as x) that contains only terms of the form ax² + bx + c, where a, b, and c are constants. The highest exponent of the variable x in a quadratic polynomial is 2.

We are given a table of values for the quadratic polynomial p. Since p is a quadratic polynomial, it can be written in the form:

p(x) = ax² + bx + c

where a, b, and c are constants.

To find the value of p(10), we need to substitute x = 10 in the above equation and simplify:

p(10) = a(10)² + b(10) + c

p(10) = 100a + 10b + c

We don't know the values of a, b, and c, but we can use the values in the table to set up a system of equations.

From the table, we can see that:

p(0) = c = 3

p(1) = a + b + c = 6

p(2) = 4a + 2b + c = 11

Solving this system of equations, we get:

a = 1

b = 2

c = 3

Therefore, the quadratic polynomial p is:

p(x) = x² + 2x + 3

To find p(10), we substitute x = 10 in the above equation:

p(10) = (10)² + 2(10) + 3

p(10) = 100 + 20 + 3

p(10) = 123

Therefore, the value of p(10) is 123.

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Using the exponential function[tex]A(t) = 234(2.55)^t-[/tex]

There were approximately 1522 public electric charging units available in 2007.

There were approximately 9894 public electric charging units available in 2009.

There were approximately 25230 public electric charging units available in 2010.

The formula for an exponential function is [tex]f(x) = a^x,[/tex]where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.

The exponential function is [tex]A(t) = 234(2.55)^t.[/tex]

Use the formula [tex]A(t) = 234(2.55)^t[/tex] to find the number of public electric charging units available for hybrid vehicles in a given year.

To find the number of outlets available in 2007, substitute t = 2 (since 2007 is two years after 2005) into the formula -

[tex]A(2) = 234(2.55)^2[/tex]

A(2) = 234(6.5025)

A(2) ≈ 1521.59

Therefore, the number of electric vehicles is 1522.

To find the number of outlets available in 2009, substitute t = 4 (since 2009 is four years after 2005) into the formula -

[tex]A(4) = 234(2.55)^4[/tex]

A(4) = 234(42.2825062)

A(4) ≈ 9894.10

Therefore, the number of electric vehicles is 9894.

To find the number of outlets available in 2010, substitute t = 5 (since 2010 is five years after 2005) into the formula -

[tex]A(5) = 234(2.55)^5[/tex]

A(5) = 234(107.820391)

A(5) ≈ 25229.97

Therefore, the number of electric vehicles is 25230.

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The Whole numbers in mathematics are represented in the form of {0 , 1 , 2 , 3 , 4 , ... } .

The Whole Numbers are defined as a set of positive integers, including zero, which do not have a fractional or decimal component.  

The set of whole numbers is denoted by the symbol "W", and it can be expressed as : W = {0, 1, 2, 3, 4, 5, 6, ...}

In other words, the set of whole numbers is the set that starts with 0 and includes all the positive integers which can be obtained by repeatedly adding 1 to the previous number .

The Whole numbers are used to represent the quantities that cannot be divided into smaller parts.

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The 2.8 liter is refers to the engine's displacement or volume

In the context of an engine, "2.8 liter" typically refers to the engine's displacement or volume. Specifically, it means that the engine can hold 2.8 liters (or 2,800 cubic centimeters) of air and fuel mixture in its cylinders.

The displacement of an engine is an important factor in determining its power and performance characteristics, as it influences the amount of air and fuel that can be burned during each engine cycle.

Generally, larger engine displacements are associated with more power and torque, although other factors such as the engine's design and technology also play a role.

Therefore, 2.8 liter is engine displacement

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Step-by-step explanation:

What is the electric potential at the centre of square of side 1 m ? the changes 1 x 10^-8c , - 2 x 10^-8 c, 3 x 10^-8 c and 2 x 10^-8 c are placed at the corners

The quadratic function will be x²+ 2x,Carolina will need to have at least 272 square feet available in her yard.

A quadratic function is a polynomial function of degree two, which means it is a function that can be expressed as an equation with the second-degree degree of the highest exponent of the unknown variable. It is typically expressed as ax² + bx + c, where a, b and c are constants, and x is an unknown variable. Quadratic functions can be used to model many real-world situations, such as the height of a projectile in motion or the area of a circle.

a. The area of the pool and the deck can be represented by a quadratic function, A = f(x) = x² + 2x, where x is the width of the pool in feet.

b. For the 16-ft wide pool, the area of the pool and the deck will be A = f(16) = 16² + 2(16) = 272 ft². Therefore, Carolina will need to have at least 272 square feet available in her yard.

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Answer:

The probability of landing on less than two sections when the spinner is spun once is 0.25.

Answer: it will be 0.25 hope this helped have a nice day :)

As per the exchange rate, 4.5 million YEN is equivalent to 41,145 USD.

The first step in converting currency is to determine the current exchange rate between the two currencies. In this case, we will need to find the exchange rate between Japanese yen (JPY) and US dollars (USD). As of writing this, the exchange rate is 1 USD = 109.62 JPY.

Next, we will use the conversion factor to convert 4.5 million JPY to USD. To do this, we need to multiply the amount of JPY by the conversion factor, which is the exchange rate.

1 USD / 109.62 JPY = 0.00913 USD/JPY

Now, we can use this conversion factor to convert 4.5 million JPY to USD.

4.5 million JPY * 0.00913 USD/JPY = 41,145 USD

Therefore, 4.5 million JPY is equivalent to 41,145 USD.

In conclusion, converting currency from one form to another may seem challenging, but with the help of conversion factors, it becomes simple. Just remember to multiply the amount of the original currency by the conversion factor to get the equivalent value in the desired currency.

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The value of the constant k is 12.

By Vieta's formulas, the sum of the roots of a quadratic equation ax^2 + bx + c = 0 is -b/a, and the product of the roots is c/a. Therefore, we have:

m + (m-1) = 7 (sum of the roots)

m(m-1) = k (product of the roots)

Expanding the first equation, we get:

2m - 1 = 7

Solving for m, we get:

m = 4

Substituting m = 4 into the second equation, we get:

4(4-1) = k

Simplifying, we get:

12 = k

Therefore, the constant k is equal to 12.

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To find the equation of the tangent plane to the parametric surface, we need to find the partial derivatives of x, y, and z with respect to u and v, evaluate them at the point (u, v) = (2, 1), and use them to construct the equation of the tangent plane.

The partial derivatives of x, y, and z with respect to u and v are:

∂x/∂u = 1, ∂x/∂v = 1

∂y/∂u = 10u, ∂y/∂v = 0

∂z/∂u = 1, ∂z/∂v = -1

Evaluating these partial derivatives at (u, v) = (2, 1), we get:

∂x/∂u = 1, ∂x/∂v = 1

∂y/∂u = 20, ∂y/∂v = 0

∂z/∂u = 1, ∂z/∂v = -1

So the normal vector to the tangent plane is:

N = <1, 20, 1> × <1, 0, -1> = <-20, 0, -20>

This normal vector is perpendicular to the tangent plane, so the equation of the tangent plane can be written as:

-20(x - 2) + 0(y - 5) - 20(z - 0) = 0

Simplifying this equation, we get:

-20x + 20z = -40

Dividing both sides by -20, we get:

x - z = 2

Therefore, the equation of the tangent plane to the given parametric surface at the point (2, 5, 0) is x - z = 2.

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Answer:

a) The probability that the first two people share a birthday is 0.97 or 97%.

b) The probability that at least two people share a birthday is 0.99 or 99%.

c) The probability that all three people share a birthday is 0.0015 or 0.15%.

d) The probability that at least one pair of 15 people share a birthday is 0.58 or 58%.

e) The probability that at least one pair of 23 people share a birthday is 0.87 or 87%.

In metric system speed measured by using kilometres per hour and miles per hour units. Thus, the conversion of 180 miles per hour is equals to the 289.68192 kmh.

To convert from one unit of measure to another, multiply by the conversion factor. Speed is defined as the distance an object travels per unit time. This is a scalar value. Some speed units are miles per hour, cm/h, km/h, etc. Miles per hour is a commonly used unit of speed in the United States. That's exactly 1.609344 kilometers per hour. Kilometers per hour, kmh is a unit of speed. Moving at 1 kilometer per hour is moving at about 0.278 meters per second or about 0.621 miles per hour. A value of 180 miles per hour must be defined in kilometers per hour. So 1 mph = 1.609344 kmh

180 mph = 180×1.609344 kmh

= 289.68192 kmh.

Hence, required value is 289.68192 kmh.

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The volume of the solid generated when the region bounded by and is revolved about the​ x-axis is (32/5)π units and 8π units.

Volume of the solid:

The volume of a solid is a measure of the space occupied by an object. It is measured by the number of unit cubes needed to fill a solid. If we count the unit cube in a solid, we have 30 unit cubes, so the volume is: 2 units 3 units 5 units = 30 cubic units

According to the Question:

The rose region is revolving about the x-axis and y-axis:

1)Volume = [tex]\pi \int\limits^2_0 {x^4} \, dx[/tex]

                = [tex]\pi \int\limits^2_0 {y^4} \, dx[/tex]

                = π{ (32/5)-0}

                = (32/5)π units.

2)Volume = [tex]\pi \int\limits^4_0 {[(2^2)_2 - (\sqrt{y^2)_1 } } \, dy[/tex]

                = [tex]\pi \int\limits^4_0 {[4 -y] } } \, dy[/tex] = 8π dy

Complete Question:

How do I find the volume of the solid generated by revolving the region bounded by  y = x², y=0, and x = 2 about the x-axis?

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Calculator with inverse tangent is a calculator with  four basic arithmetic operations and variety of functions such as logarithms, exponents, trigonometric functions etc.

A calculator with inverse tangent, commonly known as a scientific calculator, is a type of electronic calculator designed to perform mathematical calculations beyond basic arithmetic. In addition to the four basic arithmetic operations (addition, subtraction, multiplication, and division), it includes a variety of functions such as logarithms, exponents, trigonometric functions (sine, cosine, tangent), and their inverse functions (arcsine, arccosine, and arctangent).

The inverse tangent function, also known as arctangent, is one of the trigonometric functions that is commonly included in scientific calculators. It is used to determine the angle between the x-axis and a line drawn between the origin and a point on the graph of a function. In other words, it helps to find the angle whose tangent is a given number.

To use the inverse tangent function on a calculator, you will typically need to press the "tan^-1" or "arctan" button, followed by the number you want to find the arctangent of. The calculator will then display the angle in radians or degrees, depending on the mode it is set to.

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Answer:

The answer is 50, the median. The median is the value where 50% of the data lie above and below.

There are 9 employees at the smaller location and 12 employees at the larger location.

Let's use the following variables:

Let x be the number of employees at the smaller location.

Let y be the number of employees at the larger location.

We know that the total number of employees is 21, so we can write:

x + y = 21

We also know that "four times the number of employees at the larger location is six less than six times the number of employees at the smaller location". In other words, we can write:

4y = 6x - 6

Simplifying this equation, we get:

2y = 3x - 3

We now have a system of two equations with two variables:

x + y = 21

2y = 3x - 3

We can solve this system using substitution or elimination. Here, we'll use substitution method:

From the second equation, we can solve for x in terms of y:

2y = 3x - 3

3x = 2y + 3

x = (2/3)y + 1

We can now substitute this expression for x into the first equation:

x + y = 21

(2/3)y + 1 + y = 21

(5/3)y = 20

y = (3/5) × 20

y = 12

Substitute y = 12 back into x + y = 21, we get:

x + 12 = 21

x = 9

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Answer:

Step-by-step explanation:

Lets set up a table to keep the information organized.  See the attached table.

There are 6 recipients:  1 cat and 5 nieces.  But since one of the nieces gets an extra 5%, let's treat the extra amount as a separate recipient, which is lablelled N' in the table (Green arrow).  Now enter the percentages for each recipient group.  The percentages for the cat and N', the extra for the youngest niece, are 35% and 5%, as noted.  That leaves 60% to be equally divided among the 5 nieces (including the youngest one who get an additional 5%).  [Note that the 5% extra for niece N' was removed from the total before the remainder can be evenly split amoung the 5 nieces.]

The percentages are multiplied by the total of $38,000 to yield the amounts shown on the table.  

                      Cat:   $13,300

4 younger nieces:   $ 4,560 each  ($18,240) total

    Oldest niece:      $ 6,440

                                  ======

                                                          $38,000 total

[Footnote:  the oldest niece adopted the cat]

The amount of money that the cat inherits and other niece would be =$13,300 and $24,700 respectively.

The total amount of money that is the worth of the estate of Uncle Scrooge = $38000

The amount of money that goes to the cat = 35% of $38000.

That is;

= 35/100× 38000

= 1330000/100

= 13,300

The amount of money that will be received by the remaining niece = 38000-13300 =$24,700

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15 members of the club voted in the election.

To find out how many members voted, we can start by calculating 30% of the total number of club members:

30% of 50 = (30/100) * 50 = 15

So 15 members of the club voted in the election.

Based on the given conditions, formulate:

Reduce the fraction: (30/100)

Multiply a number to both the numerator and the denominator:

(30/100) * 50

Write as a single fraction: 0.3 * 50

Calculate the product or quotient: 15

Rewrite a fraction with denominator equals 100 to a percentage:

Answer: 15

The French club held elections to elect new board members. 50 club members, or 30% of them, cast ballots. So, 15 members casted the most votes.

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