lottery cuopons. lottery with n pecoupons and n people take part in it. each person picks exactly one coupon

Answer:

x = 4

Step-by-step explanation:

2x(x) + 28 = (2x + 2)(x + 2) ← expand factors using FOIL

2x² + 28 = 2x² + 6x + 4 ( subtract 2x² from both sides )

28 = 6x + 4 ( subtract 4 from both sides )

24 = 6x ( divide both sides by 6 )

4 = x

Answer:

30 + 3

Step-by-step explanation:

We are multiplying 5 and x.

5*x

=5*6

=30

The y is alone.

y

=3

Let's solve it.

30 + 3 = 33.

x=6

y=3

hope this helped.

The correct ratio to be able to find x would be B. tan ( x ) = 1 / 2.

In the right angled triangle given, the value of x is an angle and we are given the dimensions that are opposite that angle and adjacent to it. This means that the best operation would be tangent.

The value of x is therefore :

Tan ( angle ) = Opposite / Adjacent

Opposite = 5

Adjacent = 10

The value of x is:

Tan ( x ) = 5 / 10

In simplest form:

Tan ( x ) = 1 / 2

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Answer:

3^-9

Step-by-step explanation:

3^-4 • 3^-5

We know that a^b * a^c = a^(b+c)

3^-4 • 3^-5 = 3^(-4-5) = 3^ -9

The value of x which makes the given expression 1/2(3x+4) = 1/2x true is -2

We have to simplify the given expression to find the value of x

1/2(3x + 4) = 1/2x

Cancel 1/2 from both sides

⇒ 3x + 4 = x

⇒ 2x = -4

⇒ x = -2

Hence, the value of x is -2 which makes the given expression true.

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\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ \theta =65\\ A=\frac{104\pi }{9} \end{cases}\implies \cfrac{104\pi }{9}=\cfrac{(65)\pi r^2}{360}\implies \cfrac{104\pi }{9}=\cfrac{13\pi r^2}{72} \\\\\\ \cfrac{72}{13\pi}\cdot \cfrac{104\pi }{9}=r^2\implies 64=r^2\implies \sqrt{64}=r\implies \boxed{8=r}\)

Answer:

16/25 or 64%

Step-by-step explanation:

In this problem we see that 64 out of the 100 students did better on the exams. So, to find the answer we must find the percentage form of 64 out of 100.

Step one:

what exactly is 64 out of 100? Well, in the math world when we see 'out of' we know that means 'divided by'. So, 64 out of 100 is 64/100.

Step two:

now we have to turn 64/100 into a percentage. We know that 1/100 is 1% so lets multiply 1 by 64. 64*1 = 64. This means that 64/100 = 64%.

I'm not 100% sure what form you need your answer in but if you need it in percentage for the answer is 64%. If you need your answer in a fraction form the answer would be 64/100 or 16/25 if we simplify the answer.

I hope this helps!!

The best description is skew right. (the date is missing in this question)

What is Skew right?

A distribution is right skewed if it has a “tail” on the right side of the distribution

The cumulative relative frequency graph shows that

The slope between 0 and 4 is substantially steeper than the curve between 6 and 14.

Then

Because most of the data values are between 0 and 4 (where the histogram's highest bar appears) and relatively few values lie between 6  and 14 the histogram's distribution should be skewed to the right, resulting in low bars tailing to the right side of the highest bars.

Because there are more data values between 0 and  4 than between 6 and 14 we can conclude that skewed right is the best description of the histogram's form. Hence, the it is skewed right.

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Answer:

5%

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

using the box method,

multiply 9 × 100

= 900 and divide 900 by 15

900 ÷ 15 = 60%

60% is the amount of pitches he hit

100% - 60% = 40%

he missed 40%

Answer:

non-Proportional

Step-by-step explanation:

It doesn't go through the origin (0,0)

Fix(2.5) is equal to 1. The expected value of X (E(X)) is equal to 13/36. P(X > 0.3 and X < 0.6) is equal to 0.432.

A continuous random variable X has a probability density function (pdf) given by:

fix (x) = {x² + 4/3 x if 0 < x < 1

0 otherwise. Let's solve the questions step-by-step: To find the cumulative distribution function (CDF) Fix(t) of X, we integrate the pdf from 0 to t. To find Fix(-3), we integrate the pdf from 0 to -3, which is not possible since -3 is outside the valid range of x (0 < x < 1). Therefore, Fix(-3) does not exist. To find Fix(0.6), we integrate the pdf from 0 to 0.6:

∫(0 to 0.6) (x² + 4/3 x) dx = [1/3 x³ + 2/3 x²] (0 to 0.6)

= (1/3 × 0.6³ + 2/3 × 0.6²)

= 0.432.

Therefore, Fix(0.6) is equal to 0.432. To find Fix(2.5), we integrate the pdf from 0 to 1 (since the valid range of x is 0 < x < 1):

∫(0 to 1) (x² + 4/3 x) dx = [1/3 x³ + 2/3 x²] (0 to 1)

(1/3 × 1³ + 2/3 × 1²) = 1.

Therefore, Fix(2.5) is equal to 1. To find the expected value of X (E(X)), we need to integrate x times the pdf from 0 to 1:

E(X) = ∫(0 to 1) x × (x² + 4/3 x) dx.

Simplifying the integral:

E(X) = ∫(0 to 1) (x³ + 4/3 xv) dx

= [1/4 x⁴ + 4/9 x³] (0 to 1)

= (1/4 × 1³ + 4/9 × 1³)

= 13/36.

Therefore, the expected value of X (E(X)) is equal to 13/36. To find P(X > 0.3 and X < 0.6), we need to use the definition of conditional probability:

P(X > 0.3 and X < 0.6) = P(X < 0.6) - P(X < 0.3).

Using the CDF we obtained earlier, we have:

P(X > 0.3 and X < 0.6) = Fix(0.6) - Fix(0.3)

= 0.432 - 0

= 0.432.

Therefore, P(X > 0.3 and X < 0.6) is equal to 0.432.

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Fisher's Exact Test is used when there are two independent samples of categorical data, and it is a valuable tool for analyzing small sample sizes where other tests may not be appropriate.

Fisher's Exact Test is used when there are two independent samples of categorical data. This test is specifically designed to determine if there is a significant association between two categorical variables in a 2x2 contingency table.

It is commonly used when the sample size is small, which can cause issues with other statistical tests such as the chi-square test.

The two independent samples refer to two different groups or populations that are being compared. For example, we might be interested in comparing the success rates of a new drug treatment versus a placebo in a clinical trial, where success and failure are the two categories being considered.

Fisher's Exact Test calculates the probability of observing the data given the null hypothesis of no association between the variables. It does this by considering all possible arrangements of the data that have the same marginal totals. If the calculated probability is very small (typically less than 0.05), we reject the null hypothesis and conclude that there is a significant association between the variables.

In summary, Fisher's Exact Test is used when there are two independent samples of categorical data, and it is a valuable tool for analyzing small sample sizes where other tests may not be appropriate.

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Answer:

if it is a right angle triangle then;

step 1   Determine if hypotenuse or side

step 2 calculate a^2+b^2 = c^2  or c^2-b^2 = a^2 if not given hypotenuse.

if it is an obtuse or scalene triangle then

step 1.  Determine the triangle third length we use trigonometry as cos (side a/sideb) to determines the angle between a and b.

With such angle for opposite side we can use sin (angle) x side to find hypotenuse or sin(angle) x hypotenuse to find side.  

Step-by-step explanation:

Answer:

453

Step-by-step explanation:

Answer:

Odd is the answer.

Step-by-step explanation:

An even number can be written in the form 2x, where x is an integer.

An odd number can be written in the form 2x + 1, where x is an integer.

So two odd numbers can be represented by 2a +1 and 2b +1, the product would be:

(2a + 1)(2b +1) = 4ab + 2a + 2b + 1 = which can be written as 2(2ab + a +b) + 1, but 2ab +a + b represents some integer, so 2ab + a + b = x.

So (2a + 1)(2b + 1) = 2(2ab + a + b ) + 1 = 2x +1 which is odd.

Answer:

lol thanks for the free points

Step-by-step explanation:

Answer:

Exposed UwU

Have a great day

The value of f(-2) in the polynomial is 43

The polynomial function is given as:

f(x) = 10x^2 − 4x − 5;

To calculate f (−2), we substitute -2 for x in f(x).

So, we have:

f(-2) = 10(-2)^2 - 4(-2) - 5

Evaluate the expression

f(-2) = 43

Hence, the value of f(-2) in the polynomial is 43

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The probability that a combined sample from six public swimming areas will reveal the presence of E. coli bacteria is: P(X >= 1) = P(X = 1) + P(X = 2) + P(X = 3) = 0.113 + 0.016 + 0.001 = 0.13 or 13% (rounded to two decimal places).

To find the probability that a combined sample from six public swimming areas will reveal the presence of E. coli bacteria, we can use the binomial distribution formula. Let X be the number of public swimming areas out of six that reveal the presence of E. coli bacteria. Since each swimming area is either contaminated or not contaminated, we have a binomial distribution with n = 6 and p = 0.02 (the probability of finding E. coli bacteria in a public swimming area).

The probability of X = 1 is:

P(X = 1) = (6 choose 1) * (0.02)^1 * (0.98)^5 = 0.113

The probability of X = 2 is:

P(X = 2) = (6 choose 2) * (0.02)^2 * (0.98)^4 = 0.016

The probability of X = 3 is:

P(X = 3) = (6 choose 3) * (0.02)^3 * (0.98)^3 = 0.001

The probability of X = 4, 5, or 6 is negligible since the probability of finding E. coli bacteria in a public swimming area is low.

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Answer:

383.4

Step-by-step explanation:

127.8 * 3

300 + 60 + 21 + 2.4

383.4

Answer:

7.2

Step-by-step explanation:

3x+2.7

3(1.5)+2.7

4.5+2.7

=7.2

Answer:

12x-6

Step-by-step explanation:

(3x+4)+(9x-10)

= 3x+4+9x-10

=3x+9x+4-10

=12x-6

ANSWER IS 12X-6

Answer:

M=(-3)

Step-by-step explanation:

Take two points on the line

(5,1) and (2,2)

the equation to find M is y2-y1/x2-x1

2-5=(-3)  2-1=1

(-3)/1=(-3)

Hope this helps =3

Answer:

20 questions for 3 points

10 questions for 4 points

Step-by-step explanation:

20 × 3 = 60

10 × 4 = 40

60 + 40 = 100

The surface area of the first triangular prism is 174.58 square feet and second triangular prism is 1721.6 square feet.

To calculate the surface area of a triangular prism, we need the measurements of the base and the height of the triangular bases, as well as the length of the prism.

For the first triangular prism with measurements:

Base: 5 ft

Height: 8 ft

Length: 6 ft

To calculate the surface area, we need to find the areas of the two triangular bases and the three rectangular faces. The formula for the surface area of a triangular prism is:

Surface Area = 2 * (Area of triangular base) + (Perimeter of triangular base * Length)

The area of a triangle can be calculated using the formula: Area = 1/2 * Base * Height.

Area of triangular base = 1/2 * 5 ft * 8 ft = 20 ft²

The perimeter of a triangle is the sum of its three sides.

Perimeter of triangular base = 5 ft + 8 ft + √(5 ft² + 8 ft²) = 5 ft + 8 ft + √89 ft ≈ 5 ft + 8 ft + 9.43 ft ≈ 22.43 ft

Surface Area = 2 * 20 ft² + (22.43 ft * 6 ft) = 40 ft² + 134.58 ft² = 174.58 ft²

Therefore, the surface area of the first triangular prism is approximately 174.58 square feet.

For the second triangular prism with measurements:

Base: 6 ft

Height: 2.5 ft

Length: 115 ft

Area of triangular base = 1/2 * 6 ft * 2.5 ft = 7.5 ft²

Perimeter of triangular base = 6 ft + 2.5 ft + √(6 ft² + 2.5 ft²) = 6 ft + 2.5 ft + √40.25 ft ≈ 8.5 ft + 6.34 ft ≈ 14.84 ft

Surface Area = 2 * 7.5 ft² + (14.84 ft * 115 ft) = 15 ft² + 1706.6 ft² = 1721.6 ft²

Therefore, the surface area of the second triangular prism is approximately 1721.6 square feet.

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The surface area of the triangular prism is x - 0 = -3

If the solution to an absolute value equation is x = -3, then we know that the distance between x and 0 is 3 units. Since the absolute value of a number is the distance between the number and 0 on the number line, we can write the absolute value equation that corresponds to x = -3 as:

| x - 0 | = 3

To write this equation in the form x - b = c, we can simplify the absolute value expression by removing the absolute value bars. This gives us two possible equations:

x - 0 = 3 or x - 0 = -3

Simplifying further, we get:

x = 3 or x = -3

Therefore, the absolute value equation in the form x - b = c that has the solution set {x = -3} is:x - 0 = -3

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Answer:

((x+5)(x-1)) / 5-3x

Step-by-step explanation:

((x+2)² - 9) / 5-3x

(x² + 4x + 4 - 9) / 5-3x

(x² + 4x - 5) / 5-3x

(x² - x + 5x - 5) / 5-3x

(x(x-1) + 5(x-1)) / 5-3x

((x+5)(x-1)) / 5-3x

6(2x - 11) + 15 = 21

(12x - 66) + 15 = 21

12x - 51 = 21

12x = 21 + 51

12x =  72

x = 6

Answer:

2 weeks and 4 days

Step-by-step explanation:

she is 63 pounds and she needs to get to 47 so  63-47=16 then if she loses 6 pounds every week then 6+6=12 which make 2 weeks cause we used two 6's so now we have a remainder which makes days 12-16=4 so their ya go

2 weeks and 4 days

Answer:

Sure, where is the activity

Answer:

where is it?

Step-by-step explanation:

We know that, on average, the car travels 32miles/gallon on the highway. Considering that for each mile traveled, the car will consume 1 gallon of fuel, you can calculate how many miles it will travel, given a fuel quantity using cross multiplication:

1 gallon _____ 32 miles

10 gallons ___ x miles

Both sets of values must be at the same rate so that:

From this expression, you can calculate the miles he can cover as follows:

The car can travel up to 320 miles with 10 gallons of fuel.

Answer:

Mr. A initially paid approximately N8000 for the land.

Step-by-step explanation:

Step 1: Let's assume Mr. A initially purchased the land for a certain amount, which we'll call "x" in currency units.

Step 2: Mr. A sold the land to Mr. B at a profit of 10%. This means Mr. A sold the land for 110% of the amount he paid (1 + 10/100 = 1.10). Therefore, Mr. A received 1.10x currency units from Mr. B.

Step 3: Mr. B sold the land to Mr. C at a gain of 5%. This means Mr. B sold the land for 105% of the amount he paid (1 + 5/100 = 1.05). Therefore, Mr. B received 1.05 * (1.10x) currency units from Mr. C.

Step 4: According to the given information, Mr. C paid N1240 more for the land than Mr. A paid. This means the difference between what Mr. C paid and what Mr. A paid is N1240. So we have the equation: 1.05 * (1.10x) - x = N1240

Step 5: Simplifying the equation: 1.155x - x = N1240

Step 6: Solving for x: 0.155x = N1240

x = N1240 / 0.155

x ≈ N8000

Therefore, in conclusion, Mr. A initially paid approximately N8000 for the land.