Find the probability of winning a lottery by selecting the correct six integers, where the order in which these inte

The terms of the expression are ab, cd, ef and gh. This shpws that the expression contains 4 terms and 0 factor.

Expression consists of terms and factors. The terms are separated by the mathematical signs.

Given the expression below

ab+cd+ef+gh

The terms of the expression are ab, cd, ef and gh. This shpws that the expression contains 4 terms and 0 factor.

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Using it's concept, the probabilities are given as follows:

a) 0.5455 = 54.55%.

b) 0.5909 = 59.09%.

c) 0.4615 = 46.15%.

d) 0.5556 = 55.56%.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Item a:

Out of 110 people, 60 prefer sprite, hence the probability is:

p = 60/110 = 0.5455 = 54.55%.

Item b:

Out of 110 people, 65 are between 21 and 40, hence the probability is:

p = 65/110 = 0.5909 = 59.09%.

Item c:

65 people are between 21 and 40, and of those, 30 drink lemonade, hence the probability is:

p = 30/65 = 0.4615 = 46.15%.

Item d:

45 people are under 21 years of age, and of those, 25 drink sprite, hence the probability is:

p = 25/45 = 0.5556 = 55.56%.

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The inequality of the graph that is given is: y < 2x - 3.

First find the slope (m) = rise / run of the line.

Rise = 2 units

Run = 1 unit

Slope (m) = 2/1 = 2

Y-intercept (b) = -3.

Since the shaded side is at the left, we are going to use the ">" sign. Substitute m = 2 and b = -3 into y < mx + b.

y < 2x - 3

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The system of linear equations that represent the given situation is:

5x + 10y = 1750 and 1/3x + 1/2y = 100.

A linear equation is an equation with the highest degree of the variable is one. There may be one or more variables but their degree must be 1 to become a linear equation.

The general form of a linear equation is y = mx + c.

In the given situation,

Consider x as the number of short-sleeved shirts ordered and y as the number of long-sleeved shirts ordered.

It is given that,

Price for short-sleeved shirts = $5

Price long-sleeved shirts =$10

The total price for 100 shirts ordered = $1,750

So, we can write the linear equation as

5x + 10y = 1750  ...(i)

It is given that,

After the first week, they sold 1/3 of the short-sleeved shirts and 1/2 of the long-sleeved shirts. I.e.,

1/3x + 1/2y = 100  ...(ii)

Thus, from equations (i) and (ii), the system of linear equations that represent the given situation is

5x + 10y = 1750

1/3x + 1/2y = 100

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Disclaimer: The given question is incomplete. Here is the complete question.

Question:

The drama club is selling short-sleeved shirts for $5 each, and long-sleeved shirts for $10 each. They hope to sell all of the shirts they ordered, to earn a total of shirts ordered, and to earn a total of $1,750. After the first week of the fundraiser, they sold 1/3 of the short-sleeved shirts and 1/2 of the long-sleeved shirts, for a total of 100 shirts.

Let x represent the number of short-sleeved shirts ordered and let y represent the number of long-sleeved shirts ordered. which system of linear equations represents the situation?

Answer:

c

Step-by-step explanation:

Answer: The percentile is 89

Step-by-step explanation:

This question can be solved using concept for t tables

In a normal distribution the curve. [tex]\mu= 1470 , \sigma = 230, x=1750[/tex]

The relationship between z score, mean and standard deviation is given by

[tex]x = \mu+z\sigma[/tex]

So the z value according to this is given by the formula

[tex]1750=1470+z(230)\\ z=\frac{280}{230} \\\\z = 1.217[/tex]

From the z table we can infer that p value for z=+1.217 is 88.82

So 1750 is 89th percentile

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Answer:

5.2 Inch to cm = 13.208 cm

5.2 feet to cm = 158.496 cm

Step-by-step explanation:

Inch: 1 inch = 2.54 cm, so multiply 2.54 * 5.2. We get the answer: 13.208 cm

Feet: 1 foot = 30.48 cm, so multiply 30.48 * 5.2. We get the answer: 158.496 cm

Answer:

{-14,-26}

Step-by-step explanation:

lx+20l=6

So x+20 is either 6 or -6

x=6-20=-14

x=-6-20=-26

f(-a) is the remainder when f(x) is divided by (x+a). This can be obtained by remainder theorem for polynomials.

Given that f(x) is divided by (x+a) and leaves a reminder

Using the remainder theorem for polynomials we get,

f(x) = (x+a)·g(x) + r, where g(x) is the quotient and r is the remainder.

Put x = -a, then

f(-a) = (-a+a)·g(-a) + r

f(-a) = (0)·g(x) + r

f(-a) = r

f(-a) is the remainder.

Hence f(-a) is the remainder when f(x) is divided by (x+a).

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Answer:

a= 100.2

Step-by-step explanation:

You solve it like you ate looking for the hypotenuse

Both f(x) and g(x) have the same domain of (9,-infinity).

A function is an expression that shows the relationship between two or more numbers and variables.

Plotting the functions f(x) = 2x² – 3x + 5 and g(x) = 2ˣ - 5:

Both f(x) and g(x) have the same domain of (9,-infinity).

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Answer:

see explanation

Step-by-step explanation:

(a)

play ends at 9 : 55 pm

15 minutes to get to bus stop , then time is

9 : 55 + 15 min = 10 : 10 pm = 22 : 10

the earliest bus she can catch is 22 : 25

(b)

time to wait 22 : 10 → 22 : 25 = 15 minutes

The equation of the line that is parallel and passes through the point (2,3) is; x +2y =8.

If follows from the task content that the slope of the first line is; (-4-0)/(4-(-4)) = -1/2.

Hence, since the lines are parallel, they have the same slope and the equation of the second line is;

-1/2 = (y-3)/(x-2)

-x+2 = 2y -6

x +2y =8.

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Answer: b on edg

Step-by-step explanation:

Answer:

c) 58x2

Step-by-step explanation:

Twice the number 29 is 58

So, 29 is related to 58

Therefore 29*4 = 58*2

Answer:

The correct answer is beef

Step-by-step explanation:

I took the quiz and got it correct

For the two figures to be similar, the missing length must be 30.

For the two figures to be similar, the dimension of each figures must be proportional to each other.

Let the missing length be x.

Hence,

x/25 = 24/20

We cross multiply

x × 20 = 24 × 25

x × 20 = 600

x = 600/20

x = 30

Therefore, for the two figures to be similar, the missing length must be 30.

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The fraction m/n that lies between 0 and 1 is equivalent to the real number m · n⁻¹, where m, n > 0 and m < n.

By algebra, we know that fractions, a kind of rational numbers, are real numbers of the form m/n, where m and n are integers and n ≠ 0.

In addition, the operator "/" means division, an operator derived from the existence of multiplicative inverse and fundamental operation of multiplication in the real field.

Thus, the rational number m/n is equivalent to the number m · n⁻¹. If the rational number is between 0 and 1, then m, n > 0 and m < n.

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Using its concept, it is found that the probability that the lawyer will flip to a page number that is not a multiple of 4 is given by:

p=19/25

Probability is a field of mathematics that deals with the numerical description of the likelihood that an event will occur or that a statement is true. The probability of an event is a number between 0 and 1, with approximately 0 indicating the impossibility of the event and 1 indicating certainty.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 50 numbers, of which 50 - (48/4) = 38 are not multiples of 4, hence the probability is given by:

p=38/50 = 19/25

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The measure of angle A in the isosceles trapezoid is:  106°.

In an isosceles trapezoid, the base angles are equal while the opposite angles are supplementary or have a sum of 180°.

The diagram given is an isosceles trapezoid. Therefor we would have:

m∠A = 180 - 74 [supplementary angles]

m∠A = 106°

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In the context of data models, relationships among records in a hierarchical model are called Branches. This is further explained below.

Generally, The act of generating a visual representation of either a whole information system or portions of it in order to express the linkages between different data points and structures is known as data modeling.

In conclusion, When discussing data models, the connections between different records in a hierarchical structure are referred to as "Branches."

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Answer: The function is even because [tex]f(x)=f(-x)[/tex].

Step-by-step explanation:

[tex]f(x)=3x^4 \\\\f(-x)=3(-x)^4 = 3x^4\\\\\therefore f(x)=f(-x)[/tex]

So, the function is even.

The points are (0,0) Minimum and (1/6, 1/18) is the saddle point.

What is the saddle point?

To solve the question we have:

f(x,y) = xy(1-2x-6y)

Therefore, f(x,y) = xy-2x²y-6xy²

Finding the partial derivative of the above gives:

fₓ = y - 4xy-6y²

= x - 2x²-12xy

Therefore, when the above equations are set to 0 we get:

y - 4xy-6y² = 0.......(1)

x - 2x²-12xy  = 0......(2)

Dividing equations (1) and (2) by y and x respectively give:

1 - 4x - 6y = 0

1 - 2x - 12y = 0  

Solving gives:

x = 0.167 = 1/6

y = 0.056 = 1/18

When we place x in equation (1) we have:

y - 4(1/6)y-6y² = 0

y = 0 or y = 1/18

Similarly, x = 0 or 1/6

Therefore, the four critical points are:

(0,0) (1/6,1/18)

When x = 0 and y = 0

f(x,y) = 0 Hence this is a minimum

When x = 1/6 and y = 1/18

f (x,y) = 1/324 Which is a saddle point.

Therefore, the points are (0,0) Minimum, and (1/6, 1/18) is the saddle point.

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The question you are looking for is here:

(1 point) The function f(x,y)=xy(1−2x−6y) has 4 critical points. List them and select the type of critical point. Points should be entered as ordered pairs and listed in increasing lexicographic order. By that, we mean that (x,y) comes before (z,w) if x

Answer:

42.8571

Step-by-step explanation:

We would need to divide 150 by 7 and multiply it by 2 to get the answer.

150/7 = 21.42857

21.42857*2 = 42.8571

In light of the provided confidence interval, the following is the best answer on the outcome of the hypothesis test:

Yes, because 0 is not in the confidence interval.

[tex]$H_{0}: \mu=0$[/tex]

[tex]$H_{1}: \mu \neq 0$[/tex]

yes, because 0 is not in the confidence interval

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The equation that represent this situation is as follows:

1031 = 231 + 200d

It cost $1031 for a camping trip.

You have to pay $231 to park for the entire trip and $200 per day for the

camping site.

Therefore,

let

d = days on the camping site.

Therefore, the equation that represent this situation is as follows:

1031 = 231 + 200d

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Answer:

324[tex]\pi[/tex] units³

Step-by-step explanation:

Surface Area of Sphere = 4[tex]\pi[/tex]r²; where 'r' is the radius of the sphere.

4[tex]\pi[/tex]r² =

4[tex]\pi[/tex]9² =

4[tex]\pi[/tex]81 =

324[tex]\pi[/tex] units³

Answer:

324[tex]\pi[/tex] unit^2

Step-by-step explanation:

The formula for finding the surface area of a sphere is: [tex]A = 4\pi r^2[/tex]

--> A = Surface area of the sphere

--> r = Radius of the sphere

The image shows that the radius of the sphere is 9.

All we need to do is to replace r with 9.

--> A = 4[tex]\pi[/tex]9^2

--> A = 4[tex]\pi[/tex]81

--> A = 324[tex]\pi[/tex]

So that is your final answer! 324[tex]\pi[/tex] unit^2

--> It is unit^2 since it is an area, not a volume.

+ I'm leaving this as [tex]\pi[/tex], since the question is asking for the exact value, not the ones that are rounded up.

Answer:

C.  b^8.

Step-by-step explanation:

b^10/b^2     We subtract the exponents:-

= b^(10-2)

= b^8.

b^8

Step-by-step explanation:

b^10/b^2 ,. b^10-2 ;. b^8

Answer:

C

Step-by-step explanation:

Graph C is the only one that has a y-intercept of (0, -16):  note that when x = 0, y = 0^2 - 6(0) - 16, or y = -16 when x = 0.

Answer:

c

Step-by-step explanation:

1) eliminate the negative answers since we need the amount of feet below a section and a negative number below a section doesn't make sense in this context and would result in a distance higher than the shallowest section.

Just find the absolute value or the difference between 135 and 50 resulting in 85

The solutions of x² - 3x + 2 ≡ mod 5 does not exist.

We are given the Polynomial;

x² - 3x + 2 ≡ mod 5

Finding the roots of the equation gives;

x² - 2x - x + 2 = 0(mod 5)

x(x - 2) - 1(x - 2) = 0(mod 5)

Thus, RHS = 0(mod 5) = 0

The roots of the equation are;

x = 1 and x = 2

Thus, the solutions of x² - 3x + 2 ≡ mod 5 does not exist.

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The money paid to the secretary is $14000 and the money paid to mathematician is $22000.

A mathematical statement that establishes the equality of two mathematical expressions is the called an equation.

Total money available for hiring = $36000

Let the money given to secretary = X

Money given to the mathematician = X + 8000

X + (X + 8000) = 36000

2X = 28000

X = 14000

Money given to secretary is $14000.

Money given to the mathematician is $22000.

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