The standard height of the television is 12 inches.
What are ratios?
By comparing two amounts of the same units, the ratio can be used to calculate how much of one item is included in the other.
The given ratio is 4:3. Let us take a variable 'x' such that 4x=16 and 3x=height.
We find x from 4x=16
x=4
Now putting the value of x in 3x, we get 12 inches.
Therefore, the height of the television is 12 inches.
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The standard height of the television is 12 inches.
The aspect ratio of a screen is the ratio of the width to the height. In the case of a television screen with a 4:3 aspect ratio, the width is 4 units and the height is 3 units.
If we let "h" represent the height of the television screen, we can set up the following equation:
4:3 = 16:h
To solve for "h", we can cross-multiply to get:
4h = 48
Dividing both sides by 4, we get:
h = 12
So the height of a television screen that is 16 inches wide and has a 4:3 aspect ratio is 12 inches.
what is aspect ratio?
The aspect ratio of a screen is the ratio of the width to the height of the viewable area of the screen. It is usually expressed as two numbers separated by a colon, such as 16:9 or 4:3.
Aspect ratios are used in a variety of applications, including television screens, computer monitors, and movie theaters. Different aspect ratios are used for different types of content, and some screens can be adjusted to display content in different aspect ratios.
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f(x) = -x^2-14
Find f(9)
Answer:
-95
Step-by-step explanation:
plug 9 in for x and solve. -(9)^2-14 = -95
Clare bought her first home for $135,000 in 2001. In 2006, the value of real estate in her area had increased by 18%. Based on this, how much was Clare's home worth in 2006?
Answer:
To find the value of Clare's home in 2006 after an 18% increase, we can use the following formula:
Value in 2006 = Value in 2001 x (1 + Percent Increase)
Plugging in the values given in the problem, we get:
Value in 2006 = $135,000 x (1 + 0.18)
Simplifying this expression, we get:
Value in 2006 = $135,000 x 1.18
Value in 2006 = $159,300
Therefore, Clare's home was worth $159,300 in 2006 after an 18% increase in value from its original price of $135,000 in 2001.
Find the x-intercept of the graph of the linear equation Y=-1/2x + 3.
x-intercept =______
Answer:
if you are doing edg its 6 but if you are not its (6,0)
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
What can you say about a sample mean or a sample proportion being about 2 ses away from the population mean or the true proportion? what can you not say?
When we have a normal model for the sampling distribution, we cannot say that a sample mean or sample proportion is approximately 2 standard errors (ses) away from the population mean or the true proportion.
Instead, we can say that 95% of the sample proportions fall within two standard errors of the population proportion. Similar to this, the percentage of sample proportions decreases as the standard error distance decreases and increases as the standard error distance increases.
Therefore, the standard error distance will be greater than 2 standard errors (ses) if 99% of the sample proportions are within a given standard error distance of the population proportion.
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what is the remainder when 5x^55 −2x ^21 +1 is divided by x−1
Answer:
Probably 4
Step-by-step explanation:
See what you can get from the photo below
an exam has 12 problems. how many ways can (integer) points be assigned to the problems if the total of the poitns is 100 and each problem is worth at least five points
The number of ways integer points can be assigned to the 12 problems, given that the total points is 100 and each problem is worth at least five points, can be calculated using a combinatorial approach.
To determine the number of ways, we can use the concept of stars and bars, which is a combinatorial technique used to distribute indistinguishable objects into distinguishable groups. In this case, the stars represent the total points (100) and the bars represent the dividers between the problems.
Since each problem is worth at least five points, we can consider a minimum of five points already assigned to each problem. This means we need to distribute the remaining points (100 - 12*5 = 40 points) among the 12 problems.
Using the stars and bars approach, we have 40 stars (representing the remaining points) and 11 bars (representing the dividers between the 12 problems). The number of ways to arrange these stars and bars is equivalent to the number of ways to assign points to the problems.
The answer, therefore, can be calculated using the formula for combinations with repetition: C(n + k - 1, k - 1), where n is the number of stars (40) and k is the number of bars (11).
Hence, the number of ways to assign integer points to the problems is C(40 + 11 - 1, 11 - 1) = C(50, 10).
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Each container as twice as many lollipop as each packet. If there were 721 lollipop in 2 containers and 3 packets find the number of lollipop in a container.
The number of lollipops in a container is 206.
How to determine the numberThese are steps to find the number of lollipops in a container:
1. Let x be the number of lollipops in a packet and 2x be the number of lollipops in a container.
2. According to the given information, we have the equation: 2(2x) + 3x = 721
3. Simplify the equation: 4x + 3x = 721 7x = 721
4. Solve for x: x = 103
5. Substitute x back into the equation to find the number of lollipops in a container: 2x = 2(103) = 206 Therefore, the number of lollipops in a container is 206.
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NEED HELP!!! 30 POINTS
FIND THE RATIONAL EXPONENT FORM!!
Answer:
Step-by-step explanation:
The root which is 2 is the fractional portion of your exponent
\(\sqrt{x^{7} y^{12} }\)
=\((x^{7} y^{12} )^{\frac{1}{2} }\) >You can distribute 1/2 to each term by multiplying
\(=x^{\frac{7}{2} } y^{6\)
hello please help i’ll give brainliest
Answer:
hey its option c plz mark me branliest
m=-3; (1,4) write in slope intercept form
Answer:
y = -3x + 7
Step-by-step explanation:
Tyler is trying to drink more water, so he has been keeping a log of how much water he drinks. Two days ago, Tyler drank 43.1 ounces of water, in comparison to 108.9 ounces yesterday. What was the percent of increase in Tyler's daily water consumption?
Round your answer to the nearest tenth of a percent.
Answer: 165.5%
Step-by-step explanation: The increase from 2 days ago to yeaterday was 65.8 ounces. 65.8 is 165.5% of 43.1.
A College claims that the algebra ability of their students has changed in the last few years. It was well known that students in the past could solve, on average, 10 equations per day. The College took a sample of 113 students this semester, and found that on average, the students in the sample could solve 13 equations with a sample standard deviation of 1.5. To verify the company's claim, you will perform a hypothesis test, with a significance level of 99%.
(a) State H0,H1 for this test. Is the test one-tailed or two? (b) Which type of test is to be used (Z or t)? State your reasons. (c) Compute the test statistic and nd the critical value. (d) Sketch (or plot using software) a graph showing the critical value, the region of rejection and the value of your test statistic. (e) Based on your sketch from part (d), do you support the College's claim?
The test is two-tailed because we are testing for a change in either direction. we reject the null hypothesis and support the College's claim that the algebra ability of their students has changed
(a)The hypothesis for this test can be stated as follows:
H0: The average number of equations that students can solve per day is still 10. (μ = 10)
H1: The average number of equations that students can solve per day has changed. (μ ≠ 10)
The alternative hypothesis (H1) suggests that there has been a change in the algebra ability of the students. The test is two-tailed because we are testing for a change in either direction.
(b) A t-test should be used in this case because the population standard deviation is unknown, and the sample size is relatively small (n = 113). The t-test is appropriate when the population standard deviation is unknown and when the sample size is small.
(c) To compute the test statistic, we can use the formula for the t-test:
t = (x(bar) - μ) / (s / √n)
where x(bar) is the sample mean, μ is the hypothesized population mean, s is the sample standard deviation, and n is the sample size.
Given: x(bar) = 13 μ = 10 s = 1.5 n = 113
Substituting the values into the formula, we have:
t = (13 - 10) / (1.5 / √113)
t = 2.186
(d) The critical value for a two-tailed test at a significance level of 99% can be obtained from the t-distribution table or using software. The critical value will depend on the degrees of freedom, which is n - 1 = 113 - 1 = 112.
Assuming the critical value to be tα/2,112,
(e)we can determine whether the calculated test statistic falls in the region of rejection or not. If it falls in the region of rejection, we reject the null hypothesis and support the College's claim that the algebra ability of their students has changed. If it does not fall in the region of rejection, we fail to reject the null hypothesis, indicating that there is not enough evidence to support the claim of a change in algebra ability.
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Alexis will graph the linear equation 6x 2y = 12 by plotting the x-intercept and y-
intercept.
Write the coordinates of the intercepts that Alexis should use.
Answer:
(0,6) and (2,0)
Step-by-step explanation:
y=-3x+6
Where x = 0 is equal to y=6 (Meaning the intercept is (0,6))
And where y= o is equal to x=2 (Meaning the intercept is (2,0))
9. Given the graph of f(x), what is the quadratic equation in root form.
| 1(x)
A. f(x) = 2(x + 32)² + 1
B. f(x) = 2(x - 3)(x + 5)
C. f(x) = 2(x - 1)² - 32
D. f(x) = 2(x + 3)(x - 5)
OA
(-3,0)
OB
(1, -32)
(5,0)
Answer:
\(f(x)=2(x+3)(x-5)\)
Step-by-step explanation:
Using the roots, \(f(x)=a(x+3)(x-5)\).
Using the point \((1,-32)\) to solve for \(a\),
\(-32=a(4)(-4) \\ \\ -32=-16a \\ \\ a=2 \\ \\ \\ \therefore f(x)=2(x+3)(x-5)\)
F = G
G
(m₁m₂)
d²
where F is the force between two objects of masses
m₁ and m₂, G is the gravitational constant, and dis
the distance between the two objects. Solve the
formula for m₁.
Answer:
The formula for mass m1 will be as M1 = Fr²/GM2.
What is Newton law of gravitation ?
According to newton's law , force between mass m₁ and m₂ at distance x is given by the following expression is;
F = G m₁m₂ / x²
Where F is the force between two masses m1 and m2 G is the gravitational constant and x is the distance between the two objects.
For Solving for M1 in terms of Fg, G, M2 and r yields;
M1 = Fr²/GM2
To solve for M1 in terms of F, G, M2 and r;
We are required to make M1 the subject of the formula as follows:
F = (G M1M2)/r²
By cross product;
Fr² = G M1M2
by dividing through by G M2; we have;
M1 = Fr²/GM2
The formula for mass m1 will be as M1 = Fr²/GM2.
NEED HELP ASAP!!! PLSSSSSSSSSSSSSSSSSSSS
Answer:
score(3)
Step-by-step explanation:
If the score is a function of the hours studied, it depends on the number of hours spent studying.
score(hours studying)
score(3)
Drag each number to the correct location in the ordered pairs. each number can be used more than once, but not all numbers will be used. point a is located at (7, 4). point a is reflected across the x-axis to give point b. point b is reflected across the y-axis to give point c. drag numbers to show the correct coordinate pairs for point b and point c. 3 0 -7 7 -4 4 -3
The correct coordinate pairs for point b is (-7,4) and c is (-7,-4).
What are coordinate pairs?It is a pair of objects. The objects that appears in the pair are significant. It is also called as two-tuples or the sequences of length. It refers to the two variables are linked together individually in the population to determine the correlation between them. It refers to a pair of two numbers that are written inside the brackets and those are separated with a comma. It represents a point in coordinate geometry. It represents an element of relation in set theory. It is a set of numbers that tell us where to find the point on a coordinate plane. It is a composition of an x-coordinate and y-coordinate. It is a combination of both the numbers and variables. It refers to the number that are written in a certain order. It is used to show the position of a graph.
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compared to other appraisal methods, a 360-degree feedback process is different as it includes ____
The 360-degree feedback process is different from other appraisal methods as it involves gathering feedback from multiple sources, including the employee's supervisor, peers, subordinates, and sometimes customers or clients.
The 360-degree feedback process is a performance appraisal method that gathers feedback from multiple sources to provide a comprehensive view of an employee's performance. It involves soliciting feedback from the employee's supervisor, peers, subordinates, and sometimes customers or clients.
This feedback is usually collected through surveys or interviews, and the results are compiled and shared with the employee. By involving multiple sources of feedback, the 360-degree process provides a more complete picture of an employee's strengths and weaknesses than other appraisal methods, which may rely solely on the input of the employee's supervisor.
Therefore, this method allows for a more comprehensive and holistic assessment of an employee's performance.
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Use this information for questions
5 and 6.
It costs $7.50 per person to ice skate at Chea
Skate Rink. Five friends went to Cheap Skat
for the afternoon.
5. Which equation can be used to find th
total cost?
Answer:
7.5x = total cost
As the cost is 7.5 dollars for each person, multiple the cost by the amount of people for the total cost of the whole party.
Help! I will give brainliest!
Write a positive or negative integer that represents the situation.
A hiker climbs 900 feet up a mountain.
The integer___represents the situation.
Answer:
+900 ...................
What is they system of inequalities associated with the following graph?
Answer: We can find the inequalities. One inequality has a line with y-intercept 2 and slope -1. The inequality is y >= -x + 2.
Step-by-step explanation:
Please help with this its geometry
All the correct fractions are,
⇒ 2 yd / 8 ft = 3 / 4
⇒ 24 in / 3 ft = 2 / 3
⇒ 4 ft / 4 yd = 1 / 3
⇒ 32 in / 2 ft = 4 / 3
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
We have to given that;
All the fractions are,
⇒ 2 yd / 8 ft
⇒ 24 in / 3 ft
⇒ 4 ft / 4 yd
⇒ 32 in / 2 ft
Now, We know that;
⇒ 1 yard = 3 feet
⇒ 1 feet = 12 inches
So, By the fractions we get;
⇒ 2 yd / 8 ft
⇒ 6 ft / 8 ft
⇒ 6 / 8
⇒ 3 / 4
⇒ 24 in / 3 ft
⇒ 24 in / 36 in
⇒ 12 / 18
⇒ 2 / 3
⇒ 4 ft / 4 yd
⇒ 4 ft / 12 ft
⇒ 1 / 3
⇒ 32 in / 2 ft
⇒ 32 in / 24 in
⇒ 4 / 3
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Find the area of the rhombus.
7.5 yd
13 yd
13 yd
7.5 yd
[ ? ] yd2
Answer:
195
Step-by-step explanation:
can yall help me ?:)
Answer:
b i think.....................................
Answer:
-2√7
option A
hope it helps
Select the values that make the inequality v >= 1 true . ( Numbers written in order from least to greatest going across .)
The values that make v >= 1 true are 2, 3, 4, 5....
How to determine the values?The inequality is given as:
v >= 1
Rewrite properly as:
v ≥ 1
The above means that the true values of v are values greater than 1.
Hence, the values that make v >= 1 true are 2, 3, 4, 5....
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What are the subtypes of quantitative data (techniques)?
There are two main subtypes of quantitative data, which are discrete data and continuous data. Each subtype has different techniques for analysis.
1. Discrete data: This type of data represents whole numbers or counts that can only take specific values. Examples include the number of students in a class or the number of cars in a parking lot. Techniques used to analyze discrete data include:
a. Frequency distribution: A summary of the number of times each value appears in the dataset.
b. Measures of central tendency: Calculating the mean, median, and mode of the dataset to understand its central point.
c. Measures of dispersion: Assessing the range, variance, and standard deviation to understand the spread of the data.
2. Continuous data: This type of data represents measurements that can take any value within a range, such as height, weight, or temperature. Techniques used to analyze continuous data include:
a. Histogram: A graphical representation of the distribution of the data, using bars to represent the frequency of values within specific intervals.
b. Probability density function: A mathematical function that describes the probability of a continuous random variable falling within a specific range.
c. Regression analysis: A statistical method for analyzing the relationship between a dependent variable and one or more independent variables.
Both discrete and continuous data can also be analyzed using inferential statistics, such as hypothesis testing and confidence intervals, to make inferences about a population based on a sample of the data.
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a quantity of interest that can take on different values is known as a(n)
a quantity of interest that can take on different values is known as a(n)
variable.
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wednesday homework5 of 55 of 5 itemsquestionpossible points: 20a loaf of bread weighs 454 grams. how much would 3 loaves of bread weigh?responses1,364 grams1,364 grams1,632 grams1,632 grams1,362 grams1,362 grams1,327 grams1,327 gramsskip to navigation
Using unitary method, the weight of 3 loves of bread = 1362 grams
The correct answer is an option (c)
Let us assume that m represents the weight of a loaf of bread.
Here, a loaf of bread weighs 454 grams.
So, the value of m = 454 grams
We need to find the weight of 3 loves of bread.
Let us assume that n represents the weight of 3 loves of bread.
Using unitary method the weight of 3 loves of bread would be,
⇒ n = 3 × m
⇒ n = 3 × 454
⇒ n = 1362 grams
Therefore, the weight of 3 loves of bread would be 1362 grams
The correct answer is an option (c)
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The complete question is:
A loaf of bread weighs 454 grams. how much would 3 loaves of bread weigh?
a) 1,364 grams
b) 1,632 grams
c) 1,362 grams
d) 1,327 grams
Which fraction is equivalent to eight twelfths?
Answer:
2/3
Step-by-step explanation:
Pretty simple to find. Divide both the top and the bottom by 4, and see that it makes 2/3. Easy way to figure out any of these is just to simpliy them. Like 10/12 would equal 5/6
Ethan was offered a job that paid a salary of $35,000 in its first year. The salary was set to increase by 3% per year every year. If Ethan worked at the job for 7 years, what was the total amount of money earned over the 7 years, to the nearest whole number?
Ethan earned a total of approximately 59,927 over the 7 years. we can use the formula for the future value of an annuity to calculate the total amount.
what is approximately ?
The term "approximately" is used to indicate that a value or quantity is very close to, but not exactly equal to, another value or quantity. It is often used when the exact value is not known or cannot be determined with complete accuracy.
In the given question,
To solve this problem, we need to calculate the total amount of money that Ethan earned over 7 years. Since his salary increased by 3% every year, we can use the formula for the future value of an annuity to calculate the total amount.
The future value of an annuity is given by the formula:
F = A * ((1 + r)ⁿ - 1) / r
where A is the annual payment, r is the annual interest rate, and n is the number of years.
In this case, Ethan's annual payment is 35,000, the annual interest rate is 3%, and he works for 7 years. So, we can calculate the future value of his salary as follows:
F = 35,000 * ((1 + 0.03)⁷ - 1) / 0.03
= 35,000 * (1.03⁷ - 1) / 0.03
= 35,000 * 0.244614
= 8,560.99 (rounded to the nearest cent)
So, Ethan earned a total of 8,560.99 in his first year. To find the total amount of money earned over 7 years, we can simply multiply this amount by 7:
Total amount earned = 8,560.99 * 7
= 59,926.93
Therefore, Ethan earned a total of approximately 59,927 over the 7 years.
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