how can i make days of the month fit into a definition of categorical data?

To solve the inequality, we need to find the values of x

Answer:

m = \(\frac{K-3a}{6}\)

Step-by-step explanation:

subtract 3a first

then divide by 6

The length of the granite must be less than 120 inches. Then the correct option is D.

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

A rectangular section of granite is being cut so that the length is 3 times the width.

The perimeter of the section must be less than 320 inches.

The perimeter of the rectangle will be given with inequality will be

P > 2(L + W)

We have

L = 3W

Then the inequality equation will be

320 > 2 (L + L/3)

320 > 2 (4L/3)

320 > 8L/3

    L < 120 inches

Then the length of the granite must be less than 120 inches.

Then the correct option is D.

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Answer:

-1

Step-by-step explanation:

the slope of the line is given by the equation m=(y2-y1)/(x2-x1)

here the line passes with the coordinate (-2,0),(0,-2)

m=(-2-0)/(0-(-2))

 = -2/2

 = -1

Answer:

En el hotel hay 13 habitaciones sencillas y 37 habitaciones dobles.

Step-by-step explanation:

Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.

Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.

En este caso, las variables que se definen son:

Entonces, el hotel dispone en total de 50 habitaciones, por lo que se plantea la ecuación:

x + y= 50

El hotel dispone de 87 camas. La cantidad de camas por habitación puede ser expresada mediante:

x + 2*y= 87

Entonces el sistema de ecuaciones a resolver es:

\(\left \{ {{x+y=50} \atop {x+2*y=87}} \right.\)

El método de sustitución consiste en despejar o aislar una de las incógnitas, por ejemplo x , y sustituir su expresión en la otra ecuación. De este modo, obtienes una ecuación de primer grado con la otra incógnita,  y . Una vez resuelta, calculas el valor de  x  sustituyendo el valor de  y ya conocido.

En este caso, despejando x de la primer ecuación:

x= 50 -y

y reemplazando en la segunda ecuación obtienes:

50 -y + 2*y=87

-y + 2*y=87 -50

y= 37

Reemplazando en la expresión x= 50 -y obtienes:

x= 50 -37= 50-37

x= 13

Recordando que x representa la cantidad de habitaciones sencillas e y la cantidad de habitaciones dobles, en el hotel hay 13 habitaciones sencillas y 37 habitaciones dobles.

If x = -2 is a zero with a multiplicity of one, x = 3 is a zero with a multiplicity of two, and x = 1 is a zero with a multiplicity of one, then the polynomial can be written in factored form as:

\(f(x) = (x + 2)(x - 3)^2(x - 1)\)

To find the polynomial in expanded form, we can use the distributive property and the rules of exponents:

\(f(x) = (x + 2)(x - 3)(x - 3)(x - 1)\\= (x^2 - x - 6)(x - 3)(x - 1)\\= (x^3 - 4x^2 + 3x + 18)(x - 1)\\= x^4 - 5x^3 + 6x^2 + 4x + 18\)

Therefore, the polynomial that has a lead coefficient of one and exactly three distinct zeros, with x = -2 as a zero with multiplicity of one, x = 3 as a zero with multiplicity of two, and x = 1 as a zero with multiplicity of one, is:

\(f(x) = x^4 - 5x^3 + 6x^2 + 4x + 18\)

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Answer:

I dont see the statements but this is a parabola. As you can see some of the ys repeat.

Step-by-step explanation:

If X and Y are independent standard normal random variables, joint density function of u and v is 1/(π+v²).

We have X and Y are independent standard normal random variables. It is given that X and Y are two independent standard normal random variables.

That is, The probability density function of standard normal random variable X and Y as shown below:

f(x) = 1/√2π exp{ -x²/2}

f(y) = 1/√2π exp{ -y²/2}

The joint density function of X and Y is shown as

f(x,y) = 1/2π exp{ -(x² + y²)/2}

It is given that, U = X , V = x/y

=> Y = X/V = U/V

The Jacobean transformation is shown below:

J = | ∂x/∂u ∂x/∂v |

| ∂y/∂u ∂y/∂v |

= det [ 1 0 ; 1/v -u/v²]

= 1 ×(-u/v²) - 0×(1/v)

= -u/v²

The joint density function of u and v is,

f(u,v) = fₓₓ(x,y)|J| =1/2π exp{ -(u² + (u/v)²} u/v²

find the value of f(x/y)

fᵥ (V) = ∫ f(u,v) du where limits u = -∞ to u= ∞

=∫{1/2π exp{ -(u²+ (u/v)²)} u/v²du , u = -∞ to u = ∞

= 2 ∫1/2π exp{ -(u² + (u/v)²)} u/v²du, u = 0 to u = ∞

(since, integrand is even function of u)

Using the change of variable,

u²₁ = u²(1+v²) we have

fᵥ (V) = ∫ 1/(π+v²) exp( -u₁²/2) u/v² du₁, u = 0 to u = ∞

= 1/(π+v²) ∫exp( -u₁²/2) d(u₁/v²) = 1/(π+v²)(1) =1/(π+v²)

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Answer:

Step-by-step explanation:

To find the product of the given fractions in lowest terms, we can multiply the numerators and denominators together, and then simplify the resulting fraction:

(24/18) * (2/17) * (34/3)

First, we can simplify the fractions by reducing any common factors in the numerators and denominators:

24/18 = (212)/(29) = 12/9 = 4/3

2/17 = 2/17

34/3 = (2*17)/3 = 34/3

Now we can multiply the simplified fractions:

(4/3) * (2/17) * (34/3) = (4234)/(3173) = 272/153

The product of the given fractions in lowest terms is 272/153.

Answer:

d or a

Step-by-step explanation:

50/55/100/105/.................

9514 1404 393

Answer:

Step-by-step explanation:

1. The ratio is ...

  (6 in)/(8 in) = 6/8 = 3/4

__

2. The scaled dimensions are ...

  6 in × 3 = 18 in (vertical side)

  8 in × 3 = 24 in (horizontal side)

__

3. You know from your process of reducing the fraction in part 1 that multiplying numerator and denominator by the same value does not change the reduced ratio.

Answer:  if with 3.14 v= 37512.5333

if with pi v= 37531.56

Step-by-step explanation:

the formula is 1/3hπr^2

r= 2d so radius is 32

plus numbers in (square it multiple times pi or 3.14 then multiply times height and divide by 3)

Answer:

1

Step-by-step explanation:

26 - 10x^2 > 4x + 11

15 - 10x^2 > 4x

15 > 10x^2 + 4x

15 > (10 · 1^2) + (4 · 1)

15 > (10 · 1) + 4

15 > 10 + 4

15 > 14

Answer:

1/6 x 1/6 = 1/36

1/36 is our probability of getting two heads and four tails.

The probability of an odd number of dots by rolling with a fair, six-sided die numbered one through six is 1/2 or 50%.

There are three odd numbers (1, 3, and 5) on a six-sided die numbered from 1 to 6. Similarly, there are three even numbers (2, 4, and 6). Since the probability of rolling any one of the six numbers is the same, and half of them are odd and half are even, the probability of rolling an odd number is 3/6 or 1/2.

To determine the probability of rolling an odd number of dots, we need to consider the possible outcomes. We can roll an odd number of dots if we roll 1 or 3 or 5 dots on a single roll of the die. We can also roll an odd number of dots if we roll an even number of dots on two or more rolls.

Since these are mutually exclusive events, we can find the probability of rolling an odd number of dots by adding the probabilities of rolling 1, 3, or 5 dots to the probability of rolling an even number of dots twice, thrice, or more times.

The probability of rolling an even number of dots on any one roll is 1/2. So, the probability of rolling an even number of dots twice is (1/2) x (1/2) = 1/4, thrice is (1/2) x (1/2) x (1/2) = 1/8, and so on.

Therefore, the probability of rolling an odd number of dots is:

P(odd) = P(rolling 1) + P(rolling 3) + P(rolling 5) + P(even twice) + P(even thrice) + ...

P(odd) = 1/6 + 1/6 + 1/6 + 1/4 + 1/8 + ...

P(odd) = 1/2

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The statement which best describes the data given is C) The data can be modeled by a quadratic function.

Given a data,

The numbers of customers that visited a store each hour for several hours after the store opened at 8 am are shown in the table.

It is clear that the number of customers increases to 18 for the first 4 hours and then decreases to 0 after 9 hours.

So this data cannot be modeled by a linear function or an exponential function.

Also since the number of customers arriving is not constant, this cannot be expressed as constant function.

So it is quadratic function.

Hence the correct option is c.

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Answer:

length of other side is 5cm and the perimeter is 52

Step-by-step explanation:

The area is side x times side y.

Knowing that the area A is 105cm2 and side x is 21cm

A= x*y

105cm2= 21 y /21

Arranging for y we get

y= 105/21

y= 5 cm

The perimeter is all sides added up

P= 21+21+5+5=52cm

Answer:

length 5cm and perimeter 52 cm

Step-by-step explanation:

length=area/breadth

=105/21

=5 cm

perimeter=2(length+breadth)

=2(5+21)

=52 cm

Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

The Equivalent ratio to 8/2 is 4/1, 24/6, 32/8 and 48/12.

We have,

Cylinder and prism.

Here we have to find the equivalent ratio to 8/2.

First simplifying the given ratio as

8/2

= (4 x 2)/2

= 4 /1

Now, some more ratios equivalent to 8/2.

1. 8/2 x 3/3 = 24/ 6

2. 8/2 x 4/4 = 32/8

3. 8/2 x 6/6= 48/12

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Answer:

16 slices of pizza without 2 olives

Answer:

y = -x + 7

Step-by-step explanation:

Hi there!

We are given the following points:
(5,2) and (10,-3)

We want to find the equation of the line that passes through these 2 points

There are 3 ways to write the equation of the line, yet the most common way is slope-intercept form, which is y=mx+b (m is the slope and b is the y intercept).

First, let's find the slope of the line.

The slope can be calculated from 2 points using the equation \(\frac{y_2-y_1}{x_2-x_1}\), where \((x_1, y_1)\) and \((x_2, y_2)\) are points

We have everything we need to find the slope, but let's label the values of the points to avoid confusion and mistakes.

\(x_1=5\\y_1=2\\x_2=10\\y_2=-3\)

Now substitute these values into the formula to find the slope

m=\(\frac{y_2-y_1}{x_2-x_1}\)

m=\(\frac{-3-2}{10-5}\)

Simplify

m=\(\frac{-5}{5}\)

Divide

m=-1

The slope of the line is -1

We can substitute this value as m in y=mx+b.

Here's the equation of our line so far:

y=-x+b

Now we need to find b

As the equation passes through the points (5,2) and (10,-3), we can use either point to find the value of b

Taking (5,2) for example:

Substitute 5 as x and 2 as y

2=-5+b

Add 5 to both sides

7=b

Substitute 7 as b in the equation

y = -x + 7

Hope this helps!

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Answer:

Option b (28 + 63)

Step-by-step explanation:

7(4+9)

7(13)

7×13= 91

28 + 63 = 91

Both give the same answer

Answer:

The sum 28 + 63 can be expressed as 7 ( 4 + 9 )

Step-by-step explanation:

To solve the problem you need to be aware of the distributive property of multiplication.  This property simply says that a multiple of a group of addens, aka the sum in the parenthesis, can be multiplied individually and summed.

The 7 infront of the parenthesis implies the multiplication operation on the grouping of the sum of 4 and 9.

You can rewrite it as such:

7 * ( 4 + 9 )

= 7 * 4 + 7 * 9

= 28 + 63

Note, how we simply used the multiplier 7 distributed to each term within the parenthesis to create our desired sum.

Cheers.

Answer:

E 1 cm/min 98π

Step-by-step explanation:

We know the volume of a sphere V = 4πr³/3. Now the rate of change of volume with respect to time dV/dt = dV/dr × dr/dt where dV/dr is the rate of change of volume with respect to the radius and dr/dt is the rate of change of radius with respect to time.

Now, dV/dt = -2 cm³/min since it is decreasing

dV/dr = 4πr²

So, dV/dt = dV/dr × dr/dt

-2 cm³/min =  4πr²dr/dt

dr/dt = -2 cm³/min ÷ 4πr²

when r = 7 cm,

dr/dt = -2 cm³/min ÷ 4π(7 cm)²

dr/dt = -1 cm³/min (2π × 49 cm²)

dr/dt = -1 cm/min 98π

So, the radius is changing (decreasing) at a rate of 1 cm/min 98π

Answer:

27.73

Step-by-step explanation:

You do 3.25 x 7.3= 23.725 so you round the 2 up to a 3. So then you do

23.73+ 4.00= 27.73

Therefore , the solution of the given problem of amount comes out to be the agent received $3,069 in commission.

aggregate attempting to determine the time, overall cost, or amount. The amount in front of us or on our minds is incredibly hectic. the outcome, its significance, or its applicability. The sum consists of principal, tax, and third bookkeeping. Some of the word variations are amounts, amounts, and amounting. a versatile term Its amount refers to the amount that something weighs, how often you consume it.

Here,

The real estate company has a 4.5% commission rate,

which means they get paid 4.5% of the house's sale price:

=> 4.5% of $341,000 divided by the agency's commission results in

=> $15,345 ($0.045 x $341,000).

Hence, the residence brought in $15,345 for the real estate company.

We must determine the commission received by the real estate agency in order to determine how much the agent earned. 20% of the commission paid to the real estate agency goes towards the agent's commission rate.

Since we already know that the real estate firm was paid a commission of $15,345; the agent's commission is:

=> 20% of $15,345 divided by the agent's commission

=>  0.2 times $15,345 =  ($3,069).

As a result, the agent received $3,069 in commission.

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Reflection over the x-axis transforms the point (x,y) into (x, -y), then

(3, -5) → (3, 5)

Reflection over the y-axis transforms the point (x,y) into (-x, y), then

(3, 5) → (-3, 5)

Reflecting this point over the x-axis,

(-3, 5) → (-3, -5)

So, the points that make the rectangle are (3, -5), (3, 5), (-3, 5), and (-3, -5)

The length of the rectangle is: 3 - (-3) = 6

The height of the rectangle is: 5 - (-5) = 10

The area of the rectangle is: length*height = 6*10 = 60