Somebody help i need to find the value of x and classify the sides and angles

The probability that a homebuilder takes 200 days or less to complete a house is approximately 0.8238, or 82.38%.

Explanation :

To answer this question, we can use the concept of the z-score. The z-score tells us how many standard deviations a data point is from the mean.

Let's calculate the z-score for a completion time of 200 days:
z = (x - μ) / σ
where x is the completion time, μ is the mean, and σ is the standard deviation.
Plugging in the values, we get:
z = (200 - 176.7) / 24.8 = 0.93

To find the probability associated with this z-score, we can use a z-table or a calculator. In this case, the probability is 0.8238.

This means that there is an 82.38% chance that the completion time of a house will be 200 days or less, given that the completion time follows a normal distribution with a mean of 176.7 days and a standard deviation of 24.8 days.

Learn more about probability from a given link :

https://brainly.com/question/23417919

#SPJ11

There are 8 teams left after 4 rounds.

Given that there are 128 teams entered in a basketball tournament, and half of the teams are eliminated each round, to determine how many teams are left after 4 rounds, the following calculation must be performed:

Therefore, there are 8 teams left after 4 rounds.

Learn more about divisions in https://brainly.com/question/369266

Answer:

if u round everything, the answer is 102.62, however if you dont round, its 102.585

Step-by-step explanation:

FInd area of square:

3*3= 9

FIn area of Rectangle:

3*10=30

Find area of Circle:

A=\(\pi\)r^2

radius is always half of diameter so, 9 divided by 2=4.5

A=\(\pi\)4.5^2

According to PEMDAS, exponents come first, so 4.5^2= 20.25

Pi equals 3.14, so do 20.25*3.14

20.25*3.14= 63.585 or 63.62

add everything.

The given function satisfies the differential equation.Therefore, the given functions ex cos(5x) and ex sin(5x) form a fundamental set of solutions of the differential equation y'' - 2y' + 6y = 0 on the interval (−∞, ∞).

Given Differential Equation: y'' - 2y' + 6y

= 0Let's substitute the given function ex cos(5x) to the differential equation:y'' - 2y' + 6y

= 0 Differentiating y'' with respect to x:dy''/dx

= -25ex cos(5x) + 10ex sin(5x) dy''/dx

= (5.25) ex cos(5x) + 25ex sin(5x)Substituting these values, we get the following:y'' - 2y' + 6y

= (-25) ex cos(5x) + 10ex sin(5x) - 2(5ex sin(5x)) + 6ex cos(5x)

= (5.25ex cos(5x) + 25ex sin(5x)) - (10ex sin(5x) + 10ex sin(5x)) + 6ex cos(5x)

= ex cos(5x)(5.25 - 2 + 6) + ex sin(5x)(25 - 10 - 10)

= 9.25 ex cos(5x) + 5 ex sin(5x)The given function satisfies the differential equation.Now, let's substitute ex sin(5x) into the differential equation:y'' - 2y' + 6y

= 0 Differentiating y'' with respect to x:dy''/dx

= 25ex sin(5x) + 10ex cos(5x) dy''/dx

= (5.25) ex sin(5x) - 25ex cos(5x)Substituting these values, we get the following:y'' - 2y' + 6y

= (25) ex sin(5x) + 10ex cos(5x) - 2(25ex cos(5x)) + 6ex sin(5x)

= (5.25ex sin(5x) - 25ex cos(5x)) - (20ex cos(5x) - 10ex cos(5x)) + 6ex sin(5x)

= ex sin(5x)(5.25 + 6) + ex cos(5x)(10 - 20)

= 11.25 ex sin(5x) - 10 ex cos(5x).The given function satisfies the differential equation.Therefore, the given functions ex cos(5x) and ex sin(5x) form a fundamental set of solutions of the differential equation y'' - 2y' + 6y

= 0 on the interval (−∞, ∞).

To know more about fundamental visit:

https://brainly.com/question/32742251

#SPJ11

To calculate the probabilities, we need to use the concept of binomial probability.

For a fair coin being tossed 5 times:

(a) Probability of getting five heads:

The probability of getting a head in a single toss is 1/2.

Since each toss is independent, we multiply the probabilities together.

P(Head) = 1/2

P(Tails) = 1/2

P(Five Heads) = P(Head) * P(Head) * P(Head) * P(Head) * P(Head) = \((1/2)^5\) = 1/32 ≈ 0.03125

So, the probability of obtaining five heads is approximately 0.03125 or 3.125%.

(b) Probability of getting four heads:

There are five possible positions for the four heads.

P(Four Heads) = (5C4) * P(Head) * P(Head) * P(Head) * P(Head) * P(Tails) = 5 * \((1/2)^4\) * (1/2) = 5/32 ≈ 0.15625

So, the probability of obtaining four heads is approximately 0.15625 or 15.625%.

(c) Probability of getting one head:

There are five possible positions for the one head.

P(One Head) = (5C1) * P(Head) * P(Tails) * P(Tails) * P(Tails) * P(Tails) = 5 * (1/2) * \((1/2)^4\) = 5/32 ≈ 0.15625

So, the probability of obtaining one head is approximately 0.15625 or 15.625%.

For a fair die being thrown eight times:

(a) Probability of a 6 occurring six times:

The probability of rolling a 6 on a fair die is 1/6.

Since each roll is independent, we multiply the probabilities together.

P(6) = 1/6

P(Not 6) = 1 - P(6) = 5/6

P(Six 6s) = P(6) * P(6) * P(6) * P(6) * P(6) * P(6) * P(Not 6) * P(Not 6) = \((1/6)^6 * (5/6)^2\) ≈ 0.000021433

So, the probability of rolling a 6 six times is approximately 0.000021433 or 0.0021433%.

(b) Probability of a 6 never happening:

P(No 6) = P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) = \((5/6)^8\) ≈ 0.23256

So, the probability of not rolling a 6 at all is approximately 0.23256 or 23.256%.

(c) Probability of an odd number of 6s:

To have an odd number of 6s, we can either have 1, 3, 5, or 7 6s.

P(Odd 6s) = P(One 6) + P(Three 6s) + P(Five 6s) + P(Seven 6s)

\(P(One 6) = (8C1) * P(6) * P(Not 6)^7 = 8 * (1/6) * (5/6)^7P(Three 6s) = (8C3) * P(6)^3 * P(Not 6)^5 = 56 * (1/6)^3 * (5/6)^5P(Five 6s) = (8C5) * P(6)^5 * P(Not 6)^3 = 56 * (1/6)^5 * (5/6)^3P(Seven 6s) = (8C7) * P(6)^7 * P(Not 6) = 8 * (1/6)^7 * (5/6)\)

P(Odd 6s) = P(One 6) + P(Three 6s) + P(Five 6s) + P(Seven 6s)

Calculate each term and sum them up to find the final probability.

After performing the calculations, we find that P(Odd 6s) is approximately 0.28806 or 28.806%.

Learn more about binomial probability here:

https://brainly.com/question/12474772

#SPJ11

Total parrot=40

Caught=8

Fraction

#2

Out of 40 parrots 8 are ringed

Parrots per one ringed=40/8=5

Total ringed before=32

Total no of parrots

There are 160 parrots

Answer:

\(\sf 1) \quad \dfrac{1}{5}\)

\(\sf 2) \quad 160\:parrots\)

Step-by-step explanation:

Given information:

Therefore, the fraction of ringed parrots from the second catch is:

\(\implies \sf \dfrac{ringed\:parrots}{total\:caught\:parrots}= \dfrac{8}{40}=\dfrac{1 \times 8}{5 \times 8}=\dfrac{1}{5}\)

If she caught and ringed 32 parrots in her first catch, but only 1/5 of the parrots caught in the second catch were ringed, then 32 parrots represents 1/5 of the total number of parrots.  To find the total number of parrots, simply multiply the total number of ringed parrots by 5:

\(\implies \sf \textsf{Total number of parrots}=32 \times 5 = 160\)

Answer: The probability of the spinner stopping at a green section and then rolling a 3 is 1/22

Step-by-step explanation: A spinner stopping at a green section

B: rolling a 3

the spinner is divided into 11 parts, 3 of them are green, then:

P(A) = 3/11

the number cube has 6 numbers, then:

P(B) = 1/6

The two events are independent, then:

P(A∩B) = P(A)*P(B) = 3/11 * 1/6 = 1/22

Answer: Let's start by finding out the distance covered on paved and unpaved roads respectively.

Distance covered on paved road = 67.5% of 540 km = 0.675 x 540 = 364.5 km

Distance covered on unpaved road = 32.5% of 540 km = 0.325 x 540 = 175.5 km

Let the speed of the car on unpaved roads be x km/h. Then, the speed of the car on paved roads will be (x + 25) km/h.

Now, let's use the formula:

time = distance / speed

We know that the total time taken to cover the entire road is 10 hours.

So,

time taken on paved road + time taken on unpaved road = 10

or,

364.5 / (x + 25) + 175.5 / x = 10

Simplifying this equation, we get:

7.29x + 182.25 = 10x + 725

2.71x = 542.75

x ≈ 200

Therefore, the speed of the car on unpaved roads is 200 km/h, and the speed of the car on paved roads is 225 km/h (x + 25).

Step-by-step explanation:

The correct answer is a) the probability of precipitation is 72%. and b)  the probability of precipitation is 2%.

The given formula to determine the probability of precipitation (PoP) is PoP = (C * A) * 100 percent where C represents the confidence that precipitation will occur somewhere in the forecasted area and A represents the percentage of the area that will receive measured precipitation if it occurs.

(a) If a forecaster expresses confidence that there is an 80% chance of precipitation in the forecasted area, and it is expected to produce measurable precipitation over 90% of the area, then the probability of precipitation is given as follows: PoP = (C * A) * 100 per cent C = 80%A = 90%PoP = (80% * 90%) * 100%

PoP = 72%.

Therefore, the probability of precipitation is 72%.

(b) If a forecaster expresses confidence that there is a 20% chance of precipitation in the forecasted area, and it is expected to produce measurable precipitation over 10% of the area, then the probability of precipitation is given as follows: PoP = (C * A) * 100 per cent C = 20%A = 10%PoP = (20% * 10%) * 100%PoP = 2%

Therefore, the probability of precipitation is 2%.

know more about probability

https://brainly.com/question/32117953

#SPJ11

Answer:

I don't see any answer choices or models, so I will tell you that 60% can also be written as 6/10 and 3/5. Whichever model or answer choice represents 3/5 is the correct answer.

Answer: that 60% can also be written as 6/10 and 3/5. Whichever model or answer choice represents 3/5 is the correct answer.

Step-by-step explanation:

hope you help

A - to reject a null hypothesis for the finger tapping technique example in the text, we would calculate the probability of that result if the null hypothesis were false. This involves conducting a statistical test to determine the likelihood that the observed results occurred due to chance if the null hypothesis (which states that there is no significant difference between the groups being compared) were false.

rejecting a null hypothesis means that we are concluding that there is a significant difference between the groups being compared. In order to make this conclusion, we need to determine the probability of observing the results we did if the null hypothesis were false. This is typically done by calculating a p-value, which is the probability of obtaining a result as extreme or more extreme than what was observed, assuming the null hypothesis were true. If the p-value is below a predetermined threshold (usually 0.05), we reject the null hypothesis and conclude that there is a significant difference between the groups being compared.

option A is the correct answer and involves calculating the probability of the observed results if the null hypothesis were false. This is done through statistical testing and is typically represented by a p-value.

To learn more about probability visit;

https://brainly.com/question/31828911

#SPJ11

Factor of the expression 18n - 30 using the greatest common factor of the terms is A 6(3n - 5)

Greatest common factor, as the name implies, is greatest among all common factors among the quantities given.

We can factorize the quantities in smallest relative factors possible (one level of factors over which all quantities can form themselves), and collect as many common factors as we could. Those will together compose GCF(Greatest common factor).

We are given that  the expression 18n - 30

WE need to find Factor of the expression 18n - 30 using the greatest common factor of the terms.

then;

18n - 30

18 = 6 x 3

30 = 6 x 5

Factor out the common part;

6(3n - 5)

Therefore, the correct option is A

To know more about an expression follow;

brainly.com/question/19876186

#SPJ1

By solving the given equation, d = -4

           To find d in the equation -14d + 12d + 11d + 18 = -18, we need to combine similar terms on the left side of the equation and isolate the variable.

Combining similar terms, we get:

(-14 + 12 + 11)d + 18 = -18

9d + 18 = -18

           We can then extract the variable by shifting the constant term to the other side of the equation:

9d = -18 - 18

9d = -36

Finally, we can find d by dividing both sides of the equation by 9:

d = -36/9

d = -4

Therefore, the solution of the equation is d = -4. When d equals -4, the equation is balanced and both sides of the equation are equal.

To solve more linear equation problems:

https://brainly.com/question/11733569

Answer: About 0.2 gallons

Step-by-step explanation: 4/18=0.2 repeating, so each person gets about 0.2 gallons.

Each of her friend will get 4 and a half gallons of juice.

Division is one of the four main arithmetical operations by which we find the equal distribution of something.

Given that, At Lara's party, 4 gallon of fruit punch are shared equally among 18 friend.

To find how much each of them got, we will divide total amount of punch  by total number friends

Amount of juice each of them gets, = 18/4 = 4.5

Hence,  Each of her friend will get 4 and a half gallons of juice.

For more references on divisions, click;

https://brainly.com/question/21416852

#SPJ2

It is possible that a hybrid battery may need to be replaced after driving 100,000 miles, but it is not necessarily a given. The lifespan of a hybrid battery can vary depending on several factors.

The lifespan of a hybrid battery depends on various factors such as the make and model of the car, the age of the battery, driving habits, and the frequency of use. Some manufacturers claim that their hybrid batteries can last up to 150,000 miles or more. However, if the battery is not properly maintained or if the car is driven aggressively, it may degrade more quickly. Furthermore, extreme temperatures can also affect the lifespan of the battery. For example, very cold temperatures can reduce the battery's capacity, while extremely hot temperatures can cause damage to the cells. Therefore, while it is possible that a hybrid battery may need to be replaced after driving 100,000 miles, it is not necessarily a reasonable claim without considering the specific circumstances of the car and battery. It is best to consult with a certified mechanic to evaluate the condition of the battery and determine if replacement is necessary.

Learn more about battery here

https://brainly.com/question/5059264

#SPJ11

Carmen claims she needs to replace the hybrid battery after driving about 100000 miles. Is this a reasonable claim?

Answer:

16

Step-by-step explanation:

a+ 3(b + c)

a + 3b + 3c

but a + 3b = 7 and c = 3

7+3(3)

7 + 9

=16

See attachment for math work.

solution

in a right angle triangle all angles are = 90

but since they did not give us any angle, we should know that the two angle that will make up 90 will be 45

so it will be = tan 45 = a

15

15tan45 = a

a = 15

so now x^2 = 15^2 + 6^2

x^2 = 225 + 36

x^2 = 261

x = 16.2

Answer:

It should be 10 children in the sixth row

Step-by-step explanation:

fourth row had 12, fifth has 11 and sixth has 10 - (the pattern continues)

The car was travelling with the speed of 183.5 mph when the brakes were applied.

The pace at which an object travels a certain distance can be described using the speed formula. The distance that a body travels in a certain amount of time is a common way to measure speed. M/s is the SI unit of speed. We will learn more about the speed formula and its uses in this section.

Let's continue and investigate the speed formula in this part in more detail. Speed can be expressed in a variety of ways, including m/s, km/hr, miles/hr, etc. [LT-1] is the dimensional formula for speed. A body's speed may be defined as how quickly it is going. The equation for a given body's speed may be written as,

Speed = Distance ÷ Time

We have the equation,

\(s=\frac{\sqrt{d} }{0.04}\)

we have the value of d as 54

putting the value pf d in the equation we get,

\(s=\frac{\sqrt{54} }{0.04}\)

s = 7.34/0.04

s = 183.5 mph

So the car was travelling with the speed of 183.5 mph when the brakes were applied.

Learn more about Car speed problems:

https://brainly.com/question/13325695

#SPJ4

Complete question:

The speed that a vehicle was traveling, s, in miles per hour, when the brakes were first applied, can be estimated using the formula

\(s=\frac{\sqrt{d} }{0.04}\) where d is the length of the vehicle's skid marks, in feet.

if skid marks on dry concrete are 54 feet long, how fast was the car traveling when the brakes were applied?

Answer:

5000

ghsjdjdjdjdjdjdjdkdkdkdkdkdkdkdk

Answer:

V=8cm³

Step-by-step explanation:

The volume of the given cube in cubic centimeters.

\(V = {a}^{3} \)

\(V = {2}^{3} \)

\(\large\boxed{\sf{V = 8 \: {cm}^{3}}}\)

Therefore, the volume of the given cube is 8 cubic centimeters.

Answer:

\(x>5\)

Step-by-step explanation:

\(\frac{x}{25}>5\\\\25(\frac{x}{25})>25(5)\\\\\frac{x}{1}>125\\\\x>125\\\\\underline{x>5}\Longleftarrow\:Answer\)

Answer:

x = 11/3

Step-by-step explanation:

x2 + x = 11

Combine like terms

3x = 11

Divide both sides by 3

x = 11/3

Answer:

Step-by-step explanation:

Calculate the area of the base (which is a circle) by using the equation πr² where r is the radius of the circle. Then, multiply the area of the base by the height of the cylinder to find the volume.

Answer:

\(\frac{32}{3} \pi \\v= 33.5\)

Step-by-step explanation:

\(v=\frac{4}{3} \pi r^{3}\)

\(v= \frac{4}{3} \pi 2^{3} \\\\v=\frac{4}{3} \pi 8\\v=\frac{32}{3} \pi \\v= 33.5\)

A reasonable prediction for the number of times a basketball or soccer card will be be drawn is 40 times .

To find a prediction that is reasonable enough for the number of times that a basketball or soccer card will be drawn, the formula is :

= ( Number of soccer and basketball cards ) / Number of total cards x Number of times card is randomly drawn

The prediction is:

= ( 15 + 25 ) / 60 x 60 times

= 40 / 60 x 60 times

= 40 times

Find out more on prediction at https://brainly.com/question/23551130

#SPJ1

Answer:

yes correct ^ ^

Step-by-step explanation:

This question is a bit confusing

Answer:

Given that ,

738 students wore red while 162 students wore green.

Therefore , total number of students ,

\(\dashrightarrow \: 738 + 162 \\ \dashrightarrow \: 900\)

Now , 738 students out of 900 wore red.

So , percentage of students who wore red ,

\(\dashrightarrow \: \frac{738}{9\cancel{00}} \times \cancel{100} \\ \\ \dashrightarrow \: \cancel\frac{738}{9} \\ \\ \dashrightarrow \: 82\%\)

hope helpful :-;

Answer:

Step-by-step explanation:

TU=8

WU=10

TX=5

TV=10

I THINK