Answer:
8²+x²=11²
64+x²=121
x²=121-64
x²=57
x=square root 57
(somewhere to 7.5)
Question 10
Simplify the expression:
6 + 3(x + 4)
A
6 + 3x + 12
B
9x + 36
с
3x + 18
D
9x + 4
Write each number in scientific notation. 1. 14,700
2. 0.00083
3. 760,000,000
4. 0.038
5. 0.38
6. 3.8
7. 3,800,000,000,000
8. 0.0000000009
Complete the point-slope equation of the line through (-1, 6) and (1,5).
Use exact numbers.
y - 6=
Answer:
-1/2 (x + 1)
Step-by-step explanation:
y2 - y1 / x2 - x1
5 - 6 / 1 - (-1)
-1/2
y - 6 = -1/2 (x + 1)
help a human with dis question
Answer:
Step-by-step explanation:
Would help but only points sooo
A die is rolled and a coin is flipped simultaneously. the number rolled on the die and whether the coin lands heads or tails is recorded. how many outcomes are in the sample space? 8 6 10 12
Answer: 12
Step-by-step explanation:
ay someone help me out please?
Answer:
a, c, and d
Step-by-step explanation:
What is the answer to this and show the work please.
PLEASE HELP ASAP!!! MAKE SURE YOU KNOW YOU’RE CORRECT (sometimes people put wrong answers)
g puppy prediction puppies have been used to predict the winning basketball teams for the ncaa tournament. the current record for prediction is 347 wins out of 652 picks. is it reasonable to say that the puppies can predict a win the majority of the time? choose the correct null and alternative hypothesis.
It is reasonable to say that the puppies can predict the winning basketball teams for the NCAA tournament the majority of the time.
Based on the given information, we need to choose the correct null and alternative hypothesis that determines if it is reasonable to say that puppies can predict the winning basketball teams for the NCAA tournament the majority of the time.
Null Hypothesis (H0): It is not reasonable to say that the puppies can predict the winning teams of the NCAA tournament the majority of the time. Alternative Hypothesis (Ha): It is reasonable to say that the puppies can predict the winning teams of the NCAA tournament the majority of the time.
To determine whether it is reasonable to say that puppies can predict a win the majority of the time, we need to perform the hypothesis test using the given data. Here, p = 347/652 = 0.5317 = 53.17%, which is the proportion of correct predictions. The sample size is 652, which is greater than 30, so we can use a normal distribution for the hypothesis test.
Let’s assume a significance level of α = 0.05. Therefore, the critical z-value for a two-tailed test is:
zα/2 = ±1.96.Z = (p - P) / √ (P (1 - P) / n)
Where, p = proportion of correct predictions = 0.5317 (from given data)
P = proportion of correct predictions assumed under null hypothesis = 0.5 (no significant difference)
n = sample size = 652Z = (0.5317 - 0.5) / √ [(0.5 × 0.5) / 652]= 2.23 (approx)
The calculated value of z is 2.23 which is greater than the critical value 1.96 at a 5% level of significance. Thus, we can reject the null hypothesis.
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help PLz will mark brain list
Answer:
10.10 15.15
Step-by-step explanation:
25.30 15.12 25.13
statistical power is a measure of the ability to reject the null hypothesis when:
Statistical power is a measure of the ability to reject the null hypothesis when it is false. It represents the probability of correctly identifying a true effect or relationship in a statistical hypothesis test.
A high statistical power indicates a greater likelihood of detecting a significant result if the null hypothesis is indeed incorrect. The power of a statistical test depends on several factors, including the sample size, the effect size (the magnitude of the true effect or difference), the chosen significance level (often denoted as α), and the variability or noise in the data. Increasing the sample size or effect size generally increases the statistical power, while a lower significance level or higher variability decreases it.
Power analysis is commonly used to determine an appropriate sample size for a study, ensuring that it is adequately powered to detect the desired effect. A higher power is desirable as it reduces the chances of a Type II error (failing to reject the null hypothesis when it is false) and increases the chances of correctly detecting real effects or relationships.
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\( \frac{ \sqrt[3]{8} }{27} \)
Answer:
0.0740R
Step-by-step explanation:
The Number is repeating.
$75 divided by 18% tip
Answer:
.18
Step-by-step explanation:
What is a 18 percent tip by bill amount?
...
What's a 18% Tip on a $75 Bill?
Bill: $75.00
Tip: $13.50
Total: $88.50
sooooo 13.50 divided by 75.00 = .18
byeeeee :)
Could someone please answer these 2
Answer:
A. 1/6
B. 1
Step-by-step explanation:
A. 9/j x j/54= 9/54 = 1/6
B. 6k/8m : 3k/4m = 6k/8m : 4m / 3k = 2/2 =1
Answer:
a. 3/2
b. 1
Step-by-step explanation:
A. To simplify the expression, we can cancel out the common factor of j:
9/j * j/54 = (9/1 * 1/6) = 3/2
Therefore, 9/j * j/54 simplifies to 3/2.
B. To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction. That is,
(a/b) ÷ (c/d) = (a/b) x (d/c)
Using this rule, we can simplify the given expression as follows:
6k/8m ÷ 3k/4m = (6k/8m) x (4m/3k)
= (6/8) x (4/3)
= 2/2
= 1
In a student council election Kyle receives 120 votes for president. If Kyle receives 60% of the votes, how many students vote in the election?
Answer:
200 students vote in the election
Step-by-step explanation:
We know
120 votes = 60%
1% = 2 votes
To find how many students vote in the election, we take
2 x 100 = 200 votes
So, 200 students vote in the election
Objects detected by radar are plotted in a coordinate plane where each unit represents 1 mile. The point (0,0) represents the location of a shipyard. A cargo ship is traveling at a constant speed and in a constant direction parallel to the coastline. At 9 a. M. The radar shows the cargo ship at (0,15). At 10 a. M. , the radar shows ship at (16,15). How far is the cargo ship from the shipyard at 4p. M. ?
please explain too.
the distance of the cargo ship from the shipyard at 4p.m. is 113 miles.
What is co-ordinates?
these are points which define position of an object.
We have given that, objects detected by radar are plotted in a coordinate plane where each unit represents 1 mile. The point (0,0) represents the location of a shipyard. A cargo ship is traveling at a constant speed and in a constant direction parallel to the coastline. At 9 A.M., the radar shows the cargo ship at (0,15).At 10 a. M. , the radar shows ship at (16,15).
So, we can say, In one hour the ship covers 16 miles as it moves from position (0,15) to (16,15) in one hour. and use the formula of speed to find the speed of the cargo ship.
speed = distance /time
= 16/1 = 16 miles/hr
At 4 p.m. it covers 7 miles total.
so , distance = speed *time = 16*7 = 112 miles.
The distance of the cargo ship from the shipyard is the hypotenuse of the triangle formed whose legs are 15 and 112.
Using Pythagoras theorem
a²+b²= c²
Substitute a = 15 and b = 112.
15²+112² = c²
c²= 225 +12544
c=113 miles
Hence, the distance of the cargo ship from the shipyard at 4p.m. is 113 miles.
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An order for a computer can specify any one of six memory sizes, any one of three types of displays, any one of four sizes of a hard disk, and can either include or not include a pen tablet. How many different systems can be ordered
The given computer can be customized in six memory sizes, three types of displays, four hard disk sizes, and two possible options, including a pen tablet or not.
\We can calculate the number of possible systems by multiplying the number of options for each component together.
Then we can use the multiplication principle to get the number of possible systems:
Number of memory sizes
= 6Number of display types
= 3Number of hard disk sizes
= 4Number of possible options for pen tablet
= 2Using the multiplication principle, the number of possible systems that can be ordered is
= 6 x 3 x 4 x 2
= 144.
Therefore, there are 144 different systems that can be ordered.
The total number of different systems that can be ordered when customizing a computer can be calculated using the multiplication principle.
This principle is used when we want to find the total number of outcomes of a multi-step process by multiplying the number of possible outcomes for each step.
In this scenario, we need to consider four components of the computer that can be customized: memory size, display type, hard disk size, and pen tablet.
The number of options available for each of these components is 6, 3, 4, and 2 respectively.
Therefore, the number of possible systems that can be ordered is the product of these numbers:6 x 3 x 4 x 2 = 144
This means that there are 144 different systems that can be ordered depending on the choices made for each component.
This is a large number of options, and it highlights the importance of customization in modern computing systems. Customers can choose the exact specifications that meet their needs, rather than having to settle for pre-built systems that may not include the desired components or features. Therefore, the ability to customize computer systems is an important feature that makes them more versatile and useful for different purposes.
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f(x)-5x^2-9x+18 find f(3)
Answer:
I believe f(3)=36
Step-by-step explanation:
1. f(3)=5(3)^2-9(3)+18
2. f(3)=5(9)-27+18
3. f(3)=45-27+18
4. f(3)=36
PLEASE HELP I DONT UNDERSTAND PLEASE PUT IT WITH AN EXPLANATION YOU WILL GET 50 POINTS AND A BRAINLIEST!!!!!!!!!
1. is perpdicul. 2. is parrell 4. is perpdicul 3. is right angels. 5. is parrell. 6. is right angle
Answer:
2,5 is parallel 3,6 is perpendicular 1,4 is intersecting lines
Step-by-step explanation:
Hope this helps btw feel free to report me if im wrong
Intersecting lines 'intersect' each other, but do not form a right angle. Perpendicular lines ALWAYS form a right angle. Think of these as a 4-way intersection in a big city, such as New York. Parallel lines NEVER intersect each other. Think of these as train tracks.
The point D(-6, -5) is translated 3 units up. What are the coordinates of the resulting point, D′?
y
x
-6
6
-6
6
0
D
Answer:
D' (-6, -2)
Step-by-step explanation:
3 units up means y will increase by 3
y = -5 + 3 = -2
x will stay the same
x = -6
New coordinate
D' (-6, -2)
Which issue is least likely arise in machine learning (ml) and artificial intelligence (ai)?
The issue of too many proficient business-savvy programmers is least likely to arise in machine learning(ml) and artificial intelligence(ai).
What is machine learning?
The process by which computers learn to recognize patterns, or the capacity to continuously learn from and make predictions based on data, then make adjustments without being specifically programmed to do so, is known as machine learning (ML), a subcategory of artificial intelligence.
The operation of machine learning is quite complicated and varies according to the task at hand and the algorithm employed to do it. However, at its foundation, a machine learning model is a computer that analyzes data to spot patterns before using those realizations to better fulfill the work that has been given to it. Machine learning can automate any task that depends on a set of data points or rules, even the more difficult ones.
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What is the slope of the line parellel to this line -9x+3y=6
Answer: 3
Step-by-step explanation:
A solid wooden post in the shape of a right rectangular prism measuring 5 cm by 9 cm by 24 cm is drilled with a cylindrical hole of radius 2 cm. Find the volume of the post after the hole has been drilled. Round your answer to the nearest tenth if necessary. (Note: diagram is not drawn to scale.)
The final volume of the wooden post after the hole has been drilled is 778.41 cm³.
The volume of a right rectangular prism is given by the formula V = l × w × h, where l, w, and h represent the length, width, and height of the prism, respectively. In this case, the wooden post has dimensions of 5 cm by 9 cm by 24 cm, so its original volume is:
V1 = 5 cm × 9 cm × 24 cm = 1080 cm³
Now, we need to find the volume of the cylindrical hole. The formula for the volume of a cylinder is V = πr²h, where r is the radius of the cylinder and h is its height. In this case, the hole has a radius of 2 cm and goes through the entire length of the wooden post, so its volume is:
V2 = π × 2 cm² × 24 cm ≈ 301.59 cm³
To find the final volume of the wooden post, we need to subtract the volume of the hole from the original volume:
Vfinal = V1 - V2 = 1080 cm³ - 301.59 cm³ = 778.41 cm³
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A real estate agent believes that the average closing costs when purchasing a new home is $6500. She selects 40 new home sales at random. Among these, the average closing cost is $6600. The standard deviation of the population is $120. At Alpha equals 0.05, test the agents claim.
The 95% cοnfidence interval fοr the average clοsing cοst is ($5,883.21, $7,316.79).
Hοw tο define this hypοtheses?Tο test the real estate agent's belief abοut the average clοsing cοst οf purchasing a new hοme, we will cοnduct a hypοthesis test. Let's define οur hypοtheses:
Null Hypοthesis (H0): The average clοsing cοst is $6,500.
Alternative Hypοthesis (Ha): The average clοsing cοst is nοt equal tο $6,500.
We will use a significance level οf α = 0.05.
Nοw, let's perfοrm the hypοthesis test:
Step 1: Set up the hypοtheses:
H0: μ = $6,500
Ha: μ ≠ $6,500
Step 2: Chοοse the apprοpriate test statistic.
Since we have a sample mean and want tο cοmpare it tο a knοwn value, we can use a οne-sample t-test.
Step 3: Determine the critical value(s) οr p-value.
Since the alternative hypοthesis is twο-sided, we will use a twο-tailed test. With a significance level οf α = 0.05 and a sample size οf n = 40, the degrees οf freedοm are (n-1) = 39. We can lοοk up the critical t-values in a t-distributiοn table οr use statistical sοftware. The critical t-values at α/2 = 0.025 are apprοximately -2.0227 and 2.0227.
Step 4: Calculate the test statistic.
The test statistic fοr a οne-sample t-test is given by:
t = (sample mean - hypοthesized mean) / (sample standard deviatiοn / sqrt(sample size))
In this case:
Sample mean (x) = $6,600
Hypοthesized mean (μ) = $6,500
Sample standard deviatiοn (s) is nοt prοvided, sο we can't calculate the test statistic withοut it.
Step 5: Determine the decisiοn.
Withοut the sample standard deviatiοn, we cannοt calculate the test statistic and make a decisiοn.
Given that the sample standard deviatiοn is nοt prοvided, we cannοt cοmplete the hypοthesis test. Hοwever, we can calculate the 95% cοnfidence interval tο estimate the true pοpulatiοn mean.
Tο find the 95% cοnfidence interval, we can use the fοrmula:
Cοnfidence interval = sample mean ± (critical value * standard errοr)
where the critical value is οbtained frοm the t-distributiοn table fοr a twο-tailed test at α/2 = 0.025, and the standard errοr is the sample standard deviatiοn divided by the square rοοt οf the sample size.
Let's assume the sample standard deviatiοn is $500 (an arbitrary value) fοr the calculatiοn.
Step 6: Calculate the 95% cοnfidence interval.
Using the assumed sample standard deviatiοn οf $500 and the sample size οf n = 40, the standard errοr is:
Standard errοr = sample standard deviatiοn / sqrt(sample size) = $500 / sqrt(40)
The critical value fοr a 95% cοnfidence interval with (n-1) = 39 degrees οf freedοm is apprοximately 2.0227.
Nοw we can calculate the cοnfidence interval:
Cοnfidence interval = $6,600 ± (2.0227 * ($500 / sqrt(40)))
Calculating the values, we get:
Cοnfidence interval = $6,600 ± $716.79
= ($5,883.21, $7,316.79)
The 95% cοnfidence interval fοr the average clοsing cοst is ($5,883.21, $7,316.79).
Cοmparing the hypοthesis test with the cοnfidence interval, if the hypοthesized mean οf $6,500 falls within the cοnfidence interval, it suggests that the null hypοthesis is plausible.
Hοwever, if the hypοthesized mean is οutside the cοnfidence interval, it prοvides evidence tο reject the null hypοthesis.
In this case, withοut the actual sample standard deviatiοn prοvided, we cannοt cοmpare the hypοthesized mean with the cοnfidence interval.
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Complete question:
A real estate agent believes that the average clοsing cοst οf purchasing a new hοme is $6,500 οver the purchase price. She selects 40 new hοme sales at randοm and finds the average clοsing cοsts are $6,600. Test her belief at α = 0.05. Then find the 95% cοnfidence interval and cοmpare it with the test yοu perfοrmed.
pelcentile A cumulative frequency curve; the value that would be sampled 95 out of 100 times A frequency polygon; the value in the dataset that is most likely to occur Which would be a uniform probability distribution? The probability of reaching a temperature of 75F on any given day of the year in St. Louis, MO A time period in which it rained 25% of the time and did not rain 75% of the time The probabilities of drawing any individual card in a deck with one draw Flipping a coin two times and recording whether heads or tails
The uniform probability distribution is option (c) The probabilities of drawing any individual card in a deck with one draw
The uniform probability distribution is a probability distribution where all outcomes are equally likely. Out of the options provided, (c) The probabilities of drawing any individual card in a deck with one draw is an example of a uniform probability distribution. This is because each card in a deck is equally likely to be drawn, assuming that the deck is well-shuffled.
The other options are not examples of a uniform probability distribution.
(a) The probability of reaching a temperature of 75F on any given day of the year in St. Louis, MO is not a uniform distribution because the probability of reaching 75F is not the same throughout the year, and is influenced by many factors like seasonal variation, climate changes, etc.
(b) A time period in which it rained 25% of the time and did not rain 75% of the time is not a uniform distribution since the probability of rain is not equally likely across the time period.
(d) Flipping a coin two times and recording whether heads or tails is also not a uniform distribution as the probability of getting heads or tails is not the same, it is 0.5 for each individual flip, but the probability of getting two heads, two tails or one head and one tail are different.
Therefore, the correct option is (c) The probabilities of drawing any individual card in a deck with one draw
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The given question is incomplete, the complete question is:
Which would be a uniform probability distribution? a) The probability of reaching a temperature of 75F on any given day of the year in St. Louis, MO b) A time period in which it rained 25% of the time and did not rain 75% of the time c) The probabilities of drawing any individual card in a deck with one draw d) Flipping a coin two times and recording whether heads or tails
please help me please
Answer:
.
Step-by-step explanation:
If you need any explanation you can communicate with me
Find the range of the data.
The ages of kids playing at a park.
4, 1, 3, 9, 6, 3, 2, 4
Range: [?]
Answer:
8
Step-by-step explanation:
Range is found by taking the largest number and subtracting the smallest number
The largest number is 9
The smallest number is 1
9-1 =8
The range is 8
Answer:
8
Step-by-step explanation:
Range = highest value - lowest value
Range = 9 - 1
Range = 8
amazon claims that if you are a prime member, 85% of your packages will arrive within two business days. you have decided that you want to know if this claim is true. you take a simple random sample of 25 students at your school and 19 of the students claim that their packages arrived within two business days of ordering. a. what is the population proportion? what is the sample proportion? please use correct symbols in your answer.
Population proportion (claim): p = 0.85
Sample proportion: \(\hat p\)= 19/25
What is proportion?
In statistics, proportion typically refers to the proportion or percentage of individuals or items in a population that have a specific characteristic or belong to a certain category.
In this scenario, the population proportion refers to the proportion of all Prime members' packages that arrive within two business days. The claim made by Amazon is that this population proportion is 85%.
Let's denote the population proportion as p.
a. The population proportion:
p = 0.85
The sample proportion, on the other hand, refers to the proportion of packages that arrived within two business days among the 25 students in the random sample. We can calculate the sample proportion using the number of students who claimed their packages arrived within two business days.
Let's denote the sample proportion as \(\hat p\) (pronounced "p-hat").
Given:
Number of students in the sample (n) = 25
Number of students who claimed their packages arrived within two business days (x) = 19
b. The sample proportion:
\(\hat p\) = x / n
\(\hat p\) = 19 / 25
Therefore, the sample proportion is 19/25.
To summarize:
Population proportion (claim): p = 0.85
Sample proportion: \(\hat p\) = 19/25
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YeS mOrE 9Th GrAdE mAtH (question for smart people)
Answer:
A. 4x+13
Step-by-step explanation:
distribute the 4
(4x+20) -7
4x+13
Answer:
A
Step-by-step explanation:
someone pls help me answer this question!!!! look through the directions and give a thorough explanation. thank you!
The sailboat and the medical aid should meet at the points
(0, 7) and (5, 12).
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.
The intersection point between the two graphs y = - x² + 6x + 7 and y = x + 7 is the point where they meet each other.
Now, For the equation y = - x² + 6x + 7,
When x = 0, y = 7 ⇒ (0, 7).
when x = 1, y = 12 ⇒ (1, 12).
Now for y = x + 7,
when x = 1, y = 8 ⇒ (1, 8).
when x = 2, y =9 ⇒ (2, 9).
Now by taking the graph paper with each box of 1 square unit will plot these points and we obtain that at (0, 7) and (5, 12) these graphs intersect each other.
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