Answers
Answer:
The total area of the "t" figure is 20 square units.
The figure is made up of a triangle, a square, and a rectangle.
The area of the triangle is (1/2)(base)(height) = (1/2)(4)(3) = 6 square units.
The area of the square is 4^2 = 16 square units.
The area of the rectangle is 2(4)(3) = 24 square units.
The total area of the figure is 6 + 16 + 24 = 46 square units.
However, the question asks for the area of the composite region, which is the shaded region in the figure. The shaded region is a triangle with base 4 units and height 3 units. The area of this triangle is (1/2)(base)(height) = (1/2)(4)(3) = 6 square units.
Therefore, the area of the composite region is 6 square units.
Here is a diagram of the figure with the areas of each shape labeled:
[Image of the "t" figure with the areas of each shape labeled]
Answer:
Step-by-step explanation:
I don't have enough information to answer this.
Related Questions
How do you write 310% as a
fraction or mixed number?
Answers
\(\huge\text{Hey there!}\)
\(\huge\textbf{Looking for improper or mixed fraction:}\)
\(\mathsf{310\% \rightarrow \dfrac{310}{100} \rightarrow 3.1}\)
\(\mathsf{\rightarrow 3.1 \times \dfrac{10}{10}}\)
\(\mathsf{\rightarrow \dfrac{3.1}{1}\times\dfrac{10}{10}}\)
\(\mathsf{\rightarrow \dfrac{3.1\times10}{1\times10}}\)
\(\mathsf{\rightarrow \dfrac{31}{10}}\)
\(\mathsf{\rightarrow 3 \dfrac{1}{10}}\)
\(\huge\text{Therefore, your answers should be:}\)
\(\huge\boxed{\mathsf{Fraction \rightarrow \dfrac{310}{100}\ \& \ Mixed\ Number \ \rightarrow 3\dfrac{1}{10}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
-2(3f - 5g)
I need help with this
Answers
Answer:
-6f+10g
Step-by-step explanation:
The answer is: -6f + 10g
Question 6
Given: EC = 3x - 5, find x and EC if DF is equal to 70.
X
Answers
To find the value of x given that EC is equal to 70, we need to use the equation EC = 3x - 5 and substitute 70 for EC. We can then solve for x algebraically.
First, we substitute 70 for EC in the equation:
70 = 3x - 5
Next, we add 5 to both sides of the equation to isolate the variable term:
75 = 3x
Finally, we divide both sides by 3 to solve for x:
x = 25
Therefore, the value of x that makes EC equal to 70 is 25.
In summary, to find the value of x given that EC is equal to 70, we need to use the equation EC = 3x - 5 and substitute 70 for EC. We then solve for x algebraically by isolating the variable term and dividing both sides by 3. The value of x that makes EC equal to 70 is 25.
Learn more about variable here: brainly.com/question/32022362
#SPJ11
What key features do the functions f(x) = 12x and g of x equals the square root of x minus 12 end root have in common?
Answers
Both f(x) and g(x) have domain values that fall within the range [12,∞ ), and both functions exhibit an increasing trend over this range. The best choice would be option D in this case.
What exactly are the terms domain and range?The term "range" refers to "all the possible values of the y variable," whereas "domain" refers to "all the possible values of the x variable."
The functionalities are described in the following text.
The domain of f(x) is thus written as (-,∞ ), whereas the domain of g(x) is written as (12,∞ ). And the values of both functions grow as one moves along the interval (12, ∞).
The key features that the functions f(x) = 12 and g(x) = √x - 12 have in common are:
Both functions have a domain of [-12, ∞), which means that they are defined for all real numbers x greater than or equal to -12.Both functions have a range of (-∞, ∞), which means that they can take on any real number value for their output.Both functions have an x-intercept at x = 0, which means that they intersect the x-axis at the point (0, 0).Both functions include domain values of [12, ∞) and both functions increase over the interval (12, ∞). This means that as the input x increases from 12 onwards, the output of both functions will also increase.Below you can find further information on the link's domain and range.
brainly.com/question/12208715
#SPJ1
If the GM between √2 and 2√2 is a find the value of a.
Answers
Answer:
If the GM between √2 and 2√2 is a find the value of a.
Step-by-step explanation:
To find the geometric mean between two numbers, we simply take the square root of their product.
In this case, we want to find the geometric mean between √2 and 2√2.
Their product is:
√2 * 2√2 = 2√4 = 2*2 = 4
So, the geometric mean between √2 and 2√2 is the square root of 4, which is:
√4 = 2
Therefore, the value of a is 2.
studies that assign subjects to intervention groups on the basis of their extreme scores are vulnerable to regression toward the mean. True or False
Answers
Studies that assign subjects to intervention groups based on their extreme scores are vulnerable to regression toward the mean. This phenomenon occurs because extreme scores are often due to measurement error, random fluctuations, or other factors that are not representative of the subject's true underlying ability or condition. When these subjects are retested, their scores tend to move closer to the mean, regardless of whether they receive an intervention or not. This can make it difficult to determine whether the intervention had any real effect, as any observed changes may simply be due to regression toward the mean.
To minimize the impact of regression toward the mean, researchers can use a variety of techniques such as random assignment, matching, or statistical adjustment. These methods help ensure that intervention and control groups are comparable at baseline, reducing the likelihood that differences in outcomes are due to chance or regression toward the mean.
In a sample of 20 items, you found six defective. In constructing a confidence interval for the proportion of defectives, you should use: the plus four method. the large-sample interval. neither of these two methods.
Answers
To construct a confidence interval for the proportion of defectives, we should use the plus four method.
Since the sample size is 20, which is not very large, the large-sample interval is not appropriate. Instep, we ought to utilize a strategy that's suitable for little test sizes.
The plus four method is one such method that is commonly used when the sample size is small. Therefore, to construct a confidence interval for the proportion of defectives, we should use the plus four method.
The plus four strategies may be a strategy for building a certainty interim for an extent when the test estimate is little.
To utilize this strategy, we to begin with include four fanciful perceptions to our test, two of which are flawed and two of which are not imperfect.
This increments the test estimate to 24, which permits us to utilize the typical guess to the binomial dispersion to build the certainty interim.
The equation for the certainty interim utilizing the also four strategies is:
p ± zα/2 √((p + 2) (1 - p + 2) / n + 4)
where:
p is the test extent (number of defectives/test estimate)
zα/2 is the basic esteem from the standard typical dissemination at the level of importance α/2
n is the test estimate (counting the included four nonexistent perceptions)
Therefore, to construct a confidence interval for the proportion of defectives, we should use the plus four method.
learn more about the plus four method
brainly.com/question/31504643
#SPJ4
Find the equation of the linear function represented by the table below in slope-intercept form.
x y
1 0
2 -3
3 -6
4 -9
Answers
Answer:
The equation is y = - 3x + 3
Step-by-step explanation:
The slope-intercept form of the linear equation is y = m x + b, where
m is the slope of the lineb is the y-interceptThe rule of the slope is \(m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)→ The table has 4 point: (1, 0), (2, -3), (3, -6), (4, -9)
→ We will choose two of them to find the slope
∵ The points (1, 0) and (2, -3) lie on the line
∴ \(x_{1}\) = 1 and \(x_{2}\) = 2
∴ \(y_{1}\) = 0 and \(y_{2}\) = -3
→ Substitute these values in the rule of the slope above
∴ \(m=\frac{-3-0}{2-1}=\frac{-3}{1}=-3\)
∴ m = -3
→ Substitute the value of the slope in the form of the equation
∴ y = - 3x + b
→ To find b substitute x and y by the coordinates of a point on the line
∵ x = 1 and y = 0
∴ 0 = - 3(1) + b
∴ 0 = - 3 + b
→ Add 3 to both sides
∴ 0 + 3 = -3 + 3 + b
∴ 3 = b
∴ b = 3
→ Substitute the value of b in the form of the equation above
∴ y = -3x + 3
The equation is y = - 3x + 3
Answer:
y=-3x+1
because the slope is going up not down.
IM LITERALLY GIVING 100 POINTS FOR THIS.
At 11.00 a.m. a man started cycling from Newcastle to Hexham, 30 krn away. He
rode at a steady 10 km/h. He stopped for 30 minutes at 12.30 pm to have lunch
and then resumed his journey at the same steady speed. A car left Hexham for
Newcastle at 11.30 a.m. doing a steady speed of 50 km/h on the same road as the
cyclist. Draw a distance time graph to show the two journeys and use it to find the
approximate time and place at which the car and the cyclist passed each other.
Answers
Step-by-step explanation:
to find approximate time and place, you must find the intersection point,
my interesection is approximately at 11.39 a.m
As an estimation we are told £3 is €4.
Convert €96 to pounds
Answers
288/4
=72 pounds
Answer:
128 pounds
Step-by-step explanation:
4/3×96 since €4 is £3
which expression has a constant of 5?
Answers
Answer:
A
Step-by-step explanation:
Please help please I need to know this
Answers
Answer: X=19
Step-by-step explanation:
Add up everything and set it to 180 degrees so (5x+4)+(x-2)+(3x+7)=180
next 9x+9=180
then 9x=171
x=19
If you want to check by pluggin in value for x for all angles and it should equal 180 added up
Angle POS= 99
Angle SOR= 17
Angle ROQ= 64
99+17+64=180 degrees
Answer:
i have made it in above picture
hope it helps
Are the two lines parallel, perpendicular, or neither?
Graph 1
Graph 2
Graph 3
Graph 4
Answers
Answer:
Graph 1: Parallel
Graph 2: Perpendicular
Graph 3: Neither
Graph 4: Neither
Answer:
Graph 1: parallel
Graph 2: Perpendicular
Graph 3: Neither
Graph 4: Neither
Step-by-step explanation:
The ones that are neither would technically be labeled intersecting just for future reference but it is not required in this problem. Hope this helps!
suppose that in winter the daytime temperature in a certain office building is maintained at 70 f. the heating is shut off at 10 pm. and turned on again at 6 am. on a certain day the temperature inside the building at 2 am was found to be 65 f. the outside temperature was 50 f at 10 pm and had dropped to 40 f by 6 am. what was the temperature inside the building when the heat was turned on at 6 am? hint: you may assume, for simplicity, that the outside temperature, which is varying, is constant equal to the average value of 45 degrees between 10 pm and 6 am.
Answers
The temperature inside the building when the heat was turned on at 6 am was approximately 57.4 F
To solve this problem, we can use the formula for heat transfer:
Q = mcΔT
where Q is the amount of heat transferred, m is the mass of the air, c is the specific heat of air, and ΔT is the change in temperature.
First, we can calculate the amount of heat lost from the building between 10 pm and 2 am. Assuming the building is a closed system, the amount of heat lost must be equal to the amount of heat gained by the outside environment. We can assume that the mass of air in the building remains constant, and use the specific heat of air at constant volume, which is approximately 0.718 J/g·K.
Q = mcΔT = (m)(0.718)(65-70) = -3.59m
Next, we can calculate the amount of heat gained by the building between 2 am and 6 am. Again, assuming the building is a closed system, the amount of heat gained must be equal to the amount of heat lost by the outside environment. We can assume that the mass of air in the building remains constant, and use the same specific heat of air at constant volume.
Q = mcΔT = (m)(0.718)(T-65)
where T is the temperature inside the building at 6 am. We can set this equal to the heat lost by the outside environment:
Q = -3.59m
Using the average temperature of 45 f for the outside environment, we can calculate the change in temperature between 10 pm and 6 am:
ΔT = (45-70) = -25
So the amount of heat lost by the outside environment is:
Q = mcΔT = (m)(0.718)(-25) = -17.95m
Setting this equal to the heat gained by the building:
(m)(0.718)(T-65) = -17.95m
Simplifying and solving for T, we get:
T = 57.4 F
For more such questions on thermodynamics
https://brainly.com/question/26035962
#SPJ4
40 miners need to ride the elevator to the bottom of the mine. The elevator can hold 9 miners at a time. How many miners will be in the elevator on its last trip?
Answers
Answer:
the answer is 4
Step-by-step explanation:
minates, what are their values after bubblesort is called on an input array of length n?
Answers
The values after bubble sort is called on an input array of length n has the complexity O(n²)
Bubble sort is a simple sorting algorithm that is commonly taught in high school. It works by repeatedly swapping adjacent elements that are in the wrong order until the entire array is sorted.
To better understand the values of the array after bubble sort, let's take an example. Suppose we have the following input array of length 5:
[4, 2, 8, 5, 1]
After the first pass of bubble sort, the largest element (8) is at the end of the array:
[2, 4, 5, 1, 8]
After the second pass, the second largest element (5) is at the second-to-last position:
[2, 4, 1, 5, 8]
After the third pass, the third largest element (4) is at the third-to-last position:
[2, 1, 4, 5, 8]
After the fourth and final pass, the array is fully sorted:
[1, 2, 4, 5, 8]
As you can see, bubble sort swaps adjacent elements until the largest element "bubbles up" to the end of the array, and the process repeats until the entire array is sorted in ascending order.
It's worth noting that bubble sort has a worst-case time complexity of O(n²), meaning that the number of comparisons and swaps required grows quadratically with the size of the input array.
To know more about array here.
https://brainly.com/question/30757831
#SPJ4
Mooberry Creamery uses 2 cups of ice cream in each milkshake. How many milkshakes can they make with 1 gallon of ice cream?
ANSWER
8 milkshakes
Step-by-step explanation
16 cups in a gallon. 2 cups per milkshake. 8 milkshakes are the answer
Answers
Answer:
8 milkshakes
Step-by-step explanation:
16 cups in a gallon. 2 cups per milkshake.
16/2=8
PLEASE HeLP ASAP I’ll mark you as brainlister
Answers
Answer:
1307
Step-by-step explanation:
Don't really know how to explain this, other than use a calculator. Omni Calculator is very helpful.
Hope that this helps!
Multiply using suitable properties: 7219 x (-1005)
Answers
what beyblade is this
Answers
Answer:
fafnir
Step-by-step explanation:
Identify the polygon that has vertices J(12,−4), U(0,−4), S(4,3), and T(8,3), and then find the perimeter and area of the polygon.
Answers
Answer:P= 16 + 2\|65 units; A= 56 units2
Step-by-step explanation:
which term describes -8/27A. integerB. natural numberC. rational numberD. whole number
Answers
The term that describes -8/27 is ;
A rational number.
A rational number is a number formed when two interger
Multiple Choice –64 ÷ 4 = ? A. 15 B. –15 C. 16 D. –16
Answers
Answer:
D
Step-by-step explanation:
- ÷ + = -
AND 64/4 IS 16
SOO -16 IS THE CORRECT ANSWER
Please help with this question it is 60% of my grade.
Answers
Answer: b
Step-by-step explanation:
you start with 0 min- equals 24
1 min- 21
2 min- 18
3 min- 15
4 min- 12
5 min- 9
and so on- you look for the table that best describes that. x represents the minutes, and y represent the amount of water left in the sink.
Answer:
B
Step-by-step explanation:
After the first minute it should be at 21, because it would be reduced by 3. Second, the same. ETC
Is this equation proportional? why?
y = 3x + 2x
Answers
Answer:
5x
Step-by-step explanation:
Oceanside Bike Rental Shop charges 13 dollars plus 7 dollars an hour for renting a bike. Sandy paid 41 dollars to rent a bike. How many hours did she pay to rent the bike?
Sandy rented the bike for _____
hours.
Answers
Kirsten thinks 24% of federal tax
dollars should fund education, and
Jackson thinks $0.35 of every tax
dollar should go toward education.
Express each as a rational number.
Who supports more education
funding?
Answers
Using rational numbers, Jackson supports more education funding as he 7/20 > 6/20.
What are rational numbers?Any number that can be expressed as a fraction and where the denominator (the bottom number) and the numerator (the top number) are both integers is considered a rational number. In other words, p/q, where p and q are both integers and q 0, can be used to represent a rational number.
According to Kirsten, 24% of federal tax dollars should fund education
⇒ 24% = 24 / 100
⇒ 6/25
According to Jackson, $0.35 of every tax dollar should go toward education
⇒ 0.35 = 35 / 100
⇒ 7/20
As we can infer that 7/20 > 6/20
So Jackson supports more education funding.
To learn more about rational numbers from given link
https://brainly.com/question/22221295
#SPJ1
What is the value of arc sin(2√2)?
Answers
A teacher would like to estimate the mean number of steps students take during the school day. To do so, she selects a random sample of 50 students and gives each one a pedometer at the beginning of the school day. They wear the pedometers all day and then return them to her at the end of the school day. From this, she computes the 98% confidence interval for the true mean number of steps students take during the school day to be 8,500 to 10,200. If the teacher had used a 90% confidence interval rather than a 98% confidence interval, what would happen to the width of the interval?
It would increase by 8%.
It would decrease by 8%.
It would increase, but not necessarily by 8%.
It would decrease, but not necessarily by 8%.
Answers
Answer:
It would decrease, but not necessarily by 8%
If the teacher had used a 90% confidence interval rather than a 98% confidence interval, the width of the interval would decrease, but not necessarily by 8%.
Option D is the correct answer.
What is a confidence interval?A confidence interval is a range of values that is likely to contain the true value of an unknown parameter, such as a population means or proportion, based on a sample of data from that population.
It is a statistical measure of the degree of uncertainty or precision associated with a statistical estimate.
We have,
The width of a confidence interval is determined by the level of confidence and the sample size.
A higher confidence level requires a wider interval, and a larger sample size typically results in a narrower interval.
Since the sample size is fixed in this case, changing the confidence level will result in a change in the width of the interval.
As the confidence level increases, the width of the interval also increases. This is because a higher confidence level requires a larger margin of error, which is added to the point estimate to create the interval.
Therefore,
If the teacher had used a 90% confidence interval rather than a 98% confidence interval, the width of the interval would decrease, but not necessarily by 8%.
Learn more about confidence intervals here:
https://brainly.com/question/17212516
#SPJ3
Let x be a random variable that represents white blood cell count per cubic milliliter of whole blood. Assume that x has a distribution that is approximately normal, with mean μ = 7500 and estimated standard deviation σ = 1750. A test result of x < 3500 is an indication of leukopenia. This indicates bone marrow depression that may be the result of a viral infection. (a) What is the probability that, on a single test, x is less than 3500? (b) Suppose a doctor uses the average x(sample mean) for two tests taken about a week apart. What can we say about the probability distribution of x(sample mean)? What is the probability distribution of x(sample mean) < 3500? (c) Repeat part (b) for n = 3 tests taken a week apart. (d) Compare your answers to parts (a), (b), and (c). How did the probabilities change as n increased? The probabilities increased as n increased. If a person had x ( sample mean)< 3500 based on three tests, what conclusion would draw as a doctor or nurse?
Answers
The sample size increases, the probability of obtaining a sample mean less than 3500 decreases. The mean of the sample mean distribution is equal to the population mean, which is 7500.
a) The probability that, on a single test, x is less than 3500 can be calculated using the standard normal distribution. We need to standardize the value using the z-score formula: z = (x - μ) / σ. Substituting the given values, we get z = (3500 - 7500) / 1750 ≈ -2.286.
Using a standard normal distribution table or a calculator, we can find the probability associated with a z-score of -2.286. The probability is approximately 0.0116, or 1.16%. Therefore, there is a 1.16% chance that a single test result will be less than 3500, indicating leukopenia.
(b) When the doctor uses the average x (sample mean) for two tests taken about a week apart, the probability distribution of x (sample mean) follows a normal distribution. The mean of the sample mean distribution is equal to the population mean, which is 7500. The standard deviation of the sample mean distribution is equal to the population standard deviation divided by the square root of the sample size. In this case, the sample size is 2.
The probability distribution of x (sample mean) < 3500 can be calculated by standardizing the value using the z-score formula and then finding the corresponding probability from the standard normal distribution table or a calculator. With two tests, the probability distribution will be narrower compared to a single test. The exact probability depends on the specific value of the sample mean and the standard deviation of the sample mean distribution.
(c) When considering three tests taken a week apart, the process is similar to part (b). The mean of the sample mean distribution remains the same at 7500, but the standard deviation of the sample mean distribution is now divided by the square root of 3, since the sample size is 3. As the sample size increases, the standard deviation of the sample mean distribution decreases, resulting in a narrower distribution.
The probability distribution of x (sample mean) < 3500 can be calculated using the z-score formula and finding the corresponding probability from the standard normal distribution table or a calculator. With three tests, the probability distribution will be even narrower compared to two tests.
In summary, as the sample size increases, the probability of obtaining a sample mean less than 3500 decreases. With more tests, we can have greater confidence in the accuracy of the sample mean and draw stronger conclusions about the individual's condition. If a person had a sample mean less than 3500 based on three tests, it would indicate a higher level of certainty about the presence of leukopenia, potentially leading to further investigation or treatment options.
Learn more about mean here:
https://brainly.com/question/30112112
#SPJ11