The calculated value of the area of this figure is 28 sq units
What is the area of this figure?From the question, we have the following parameters that can be used in our computation:
The composite figure
The area is the sum of the individual areas
The figure can be divided into two trapezoids
Using the above and the area formulas as a guide, we have the following:
Area = 1/2 * (3 + 5) * 2 + 1/2 * (3 + 7) * 4
Evaluate
Area = 28
Hence, the area is 28 sq units
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ASAP please help right now
Answer:
1
Step-by-step explanation:
Because the shape divided has to create another shape and for 1 it's an oval at the beginning and then after the lines of symmetry go through its seen as 8 triangles.
If one leg is 3 and the other is 2 how would i find the hypotenuse?
Explain fully plz
Step-by-step explanation:
Right angled triangle
Solve for
hypotenuse
c
≈
3.61
a
Leg
b
Leg
Answer:
it depends on what side is given to you.
what are all the values of c that will make x^2 cx 121 a perfect square ?
Answer:
c = -22, 22
Step-by-step explanation:
\( {(x - 11)}^{2} = {x}^{2} - 22x + 121\)
\( {(x + 11)}^{2} = {x}^{2} + 22x + 121\)
Whenever possible, research should be designed so that the data can be anlyzed using __________________.
a. statistics
b. SPSS
c. parametric tests
d. non-parametric tests
Whenever possible, research should be designed so that the data can be anlyzed using option (a) statistics
-This includes both parametric tests (which assume that the data is normally distributed and meet certain assumptions) and non-parametric tests (which do not make these assumptions and are useful for non-normal data). SPSS is a software program commonly used for statistical analysis, but it is not necessary for conducting statistical analyses.
a. statistics
Research should be designed so that the data can be analyzed using statistics. Statistics provide a set of methods and tools for analyzing and interpreting data, which can help researchers draw meaningful conclusions from their findings. Statistical analysis can be used to identify patterns, trends, and relationships in data, as well as to test hypothesis and make predictions.
Depending on the research question, data type, and sample size, different types of statistical tests may be appropriate. Both parametric and non-parametric tests can be used to analyze data, depending on the assumptions made about the underlying distribution of the data and the level of measurement of the variables. SPSS is a statistical software program that can be used to perform statistical analysis, but it is not necessary for designing research studies or analyzing data.
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Please I have been waiting for an answer. somebody help me I give brainlist
What is the value of x in this figure?
Enter your answer in the box.
Answer:
x = 114
Step-by-step explanation:
114 and x are vertical angles, therefore they are congruent.
Answer:
Vertical Angles are equal so 114
Step-by-step explanation:
Help a fellow out please
Answer:
24.27 cm
Step-by-step explanation:
sin 65 degrees = 22/x, so:
1 x
------------------ = ------
sin 65 deg 22
so x = 22 / (sin 65 deg) = 22/0.906 = 24.27 cm
From a barrel of colored marbles, you randomly select 6 blue, 4 yellow, 2 red, 3 green, and 5 purple marbles. Find the experimental probability of randomly selecting a marble that is not yellow. PLEASE ANSWER
The experimental probability is 4/5 if they randomly selected 6 blue, 4 yellow, 2 red, 3 green, and 5 purple marbles.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.
Total number of marbles = 6+4+2+3+5 = 20
Total number of marbles except yellow = 20 - 4 = 16
The experimental probability = 16/20
or
= 4/5
Thus, the experimental probability is 4/5 if they randomly selected 6 blue, 4 yellow, 2 red, 3 green, and 5 purple marbles.
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Terry pays £520 per month in rent.
His landlord decides to increase the rent by 12.5%.
How much rent does he pay now?
Answer:
£598
Step-by-step explanation:
Find 10% and 5%0f £520=
10%=52
5%=26
520+26+52=598
The new price is 598
for the function g on [0, /2], find the average value gave. g(x) = e^sin(x) cos(x),
To find the average value of the function g(x) = e^sin(x) cos(x) on the interval [0, π/2], we need to compute the definite integral of g(x) over the interval and divide by the length of the interval.
The average value of a continuous function f(x) over an interval [a, b] is defined as:
Avg. value = (1 / (b - a)) * ∫[a, b] f(x) dx
In this case, the function g(x) is continuous on the interval [0, π/2], so we can use the above formula to find its average value over the interval. The definite integral of g(x) on the interval [0, π/2] is:
∫[0, π/2] e^sin(x) cos(x) dx
This integral can be evaluated using integration by substitution, with u = sin(x) and du = cos(x) dx. Thus:
∫[0, π/2] e^sin(x) cos(x) dx = ∫[0, 1] e^u du
= e^u ∣[0, 1] = e^1 - e^0 = e - 1
Therefore, the average value of g(x) on the interval [0, π/2] is:
Avg. value = (1 / (π/2 - 0)) * ∫[0, π/2] e^sin(x) cos(x) dx
= (2 / π) * (e - 1)
So the average value of g(x) on the interval [0, π/2] is (2 / π) * (e - 1).
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4. the highest point on the graph of the normal density curve is located at a) an inflection point b) its mean c) μ σ d) μ 3σ
The highest point on the graph of the normal density curve is located at its mean represented by μ.
The highest point on the graph of the normal density curve is located at its mean. The normal density curve or the normal distribution is a bell-shaped curve that is symmetric about its mean. The mean of a normal distribution is the measure of the central location of its data and it is represented by μ. It is also the balancing point of the distribution. In a normal distribution, the standard deviation (σ) is the measure of how spread out the data is from its mean.
It is the square root of the variance and it determines the shape of the normal distribution. The normal distribution is an important probability distribution used in statistics because of its properties. It is commonly used to represent real-life variables such as height, weight, IQ scores, and test scores.
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If you need to save $1,000 for a new laptop and you'll need it in six months,
what would your weekly savings goal need to be?
The amount of money I have to save weekly in order to achieve my goal is $41.67.
The amount I am supposed to save every week can be determined by dividing my savings goal by the number of weeks in six months.
A month is made up of four weeks.
The number of weeks in a 6 months : 6 x 4 = 24 weeks.
This means that $1000 would be divided by 24
Weekly savings = savings goal / number of weeks in 6 months
$1000 / 24
= $41.67
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Let the random variable X have a discrete uniform distribution on the interval [1, 35]. Determine the mean and variance of X.
The mean of X is 18 and the variance of X is 102.
Let the random variable X have a discrete uniform distribution on the interval [1, 35]. To determine the mean and variance of X, we can use the following formulas:
Mean (µ) = (a + b) / 2, where a is the smallest value and b is the largest value in the interval.
Variance (σ²) = (b - a + 1)² - 1 / 12, where a is the smallest value and b is the largest value in the interval.
For the given interval [1, 35]:
Mean (µ) = (1 + 35) / 2 = 36 / 2 = 18
Variance (σ²) = (35 - 1 + 1)² - 1 / 12 = (35)² - 1 / 12 = 1225 - 1 / 12 = 1224 / 12 = 102
So, the mean of X is 18, and the variance of X is 102.
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I need anyone to plz answer this very soon
Answer:
29°
Step-by-step explanation:
\(In\: \triangle CDE\\\\
m\angle C + m\angle D + m\angle E = 180\degree \\\\
48\degree + 74\degree + m\angle E = 180\degree \\\\
122\degree + m\angle E = 180\degree \\\\
m\angle E = 180\degree- 122\degree \\\\
\huge \red {m\angle E = 58\degree} \\\\
\because \triangle ABC \cong \triangle DEC... (given) \\\\
\therefore \angle B \cong \angle E.. (CACT) \\\\
\therefore m\angle B = m\angle E\\\\
\therefore 2x = 58\degree \\\\
\therefore x =\frac{58\degree}{2}\\\\
\huge \orange {\boxed {\therefore x = 29\degree}}
\)
You have a bag of marbles. 5 yellow, 5, green, 5
purple, 5 black, and 5 red. What is the
probability of pulling out a purple marble,
replacing it, then pulling out a black marble?
Please help!
The probability of pulling out a purple marble, replacing it, and then pulling out a black marble is 1/36.
To solve this problem
Since new marbles are added after each draw, every draw has an equal chance of happening.
Five out of thirty, or one sixth, of the initial draw's marbles will be purple.
On the second draw, the likelihood of getting a black marble is similarly 5/30, or 1/6.
By multiplying the probabilities, we may determine the likelihood of both events occurring simultaneously (such as drawing out a purple marble first, followed by a black marble):
P(purple and black) = P(purple) * P(black)
P(purple and black) = 1/6 * 1/6
P(purple and black) = 1/36
Therefore, the probability of pulling out a purple marble, replacing it, and then pulling out a black marble is 1/36.
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ABC form a triangle where BAC equals 90° a B equals 10.8 mm and C equals 1.6 mm find the length of BC give your answer rounded to one DP
Please really need help it’s for a test
Answer:
BC = 10.9 mm
Step-by-step explanation:
The computation of the BC is given below:
Here we applied the pythagorus theorem
AB = 10.8 mm
AC = 1.6mm
BC = ?
Now as we know that
AB^2 + AC^2 = BC^2
10.8mm^2 + 1.6mm^2 = BC^2
116.64mm^2 + 2.56mm^2 = BC^2
BC = 10.9 mm
Multiply using the distributive property
Answer:
see image
Step-by-step explanation:
If the absolute value of your correlation is very close to 0, your error in prediction will be?
a) The predicted college GPA be for a student whose current high school GPA 3.2 is 2.97
b) The prediction error would be very high.
c) The point is intercept.
d) The predicted score of Y based on a known value of X should be represented as Y'
Given,
Slope = 0.704
Intercept = 0.719
(a) For aa =0.719, bb =0.704, and XX =3.2,
the predicted college GPA is,
Y′ = 0.719+(0.704⋅3.2)
= 2.9718
(b) For there is no correlation, the assumed two variables are considered to be independent, so predicting through linear equation them would not be justifiable if they are not linearly related. So the prediction error would be very high.
(c) The point is "intercept" where the estimated regression line is observed meeting the y-axis.
(d) As the alternate hypothesis is set up, rejecting any possible linear relationship, hence it is symbolized through "≠≠", hence it is non-directional.
(e) From part (a), we represented the predicted score though Y′Y′.
The question is incomplete. Completed question will be given below the answer.
Completed question:
Using the regression formula with a slope = .704 and intercept = .719,
a) what would the predicted college GPA be for a student whose current high school GPA = 3.2?
- 2.69
- 2.97
- 3.00
- 3.20
b) If the absolute value of your correlation is very close to 0, your error in prediction will be:
- High
- Low
- Very low
- 0
c) Which of the following is the point at which the regression line crosses the y-axis?
- Intercept
- Predicted point
- Criterion point
- Slope
d) In the t-test for independent samples, the actual statistical test is _____.
- Nondirectional
- Unidirectional
- Multidirectional
- Quasidirectional
e) How would you represent the predicted score of Y based on a known value of X?
- y
- y-intercept
- Y'
- Y = Xa
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Joseph has a bag of 4 marbles. There are 2 green marbles, 1 yellow marble, and 1 purple marble.
Which list gives the sample space for pulling 2 marbles from the bag with replacement?
List 1
List 2
List 3
List 4
The list that gives the sample space for pulling 2 marbles from the bag with replacement is given as follows:
List 4.
What is a sample space?A sample space is a set that contains all possible outcomes in the context of an experiment.
The fact that the experiment is with replacement means that for each of the two marbles, there are two possible outcomes.
Then, applying the Fundamental Counting Theorem, the total number of outcomes is given as follows:
4 x 4 = 16.
This means that the correct list is either the list 3 or the list 4.
As there is replacement, it is possible to take two purple marbles, even though there is only one purple marble, as the same can be taken with replacement, and thus the correct list is given by list 4.
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Answer: List 4
Step-by-step explanation: This answer is here to confirm the other answer. It got me 100% on my test.
Also I know the right answer because I got it right
So good luck on y'all's math tests :)
Here is some proof that the answer is List 4
plz help with these ill post more with more points
Answer:
I think it is D I'm not sure
Step-by-step explanation:
If two angle and one ️ are congruent to two angles of a second ️ and also if the included sides are congruent, then the ️ are congruent. If in ️ PRQ and TUV, angle P=angle T, angle R=angle and PR=TU, then triangles PRQ is congruent to triangle TUV
Determine the location and value of the absolute extreme values off on the given interval, if they exist.
f(x)=x√(30-x^2) on [-√30.√30]
What is the absolute maximum of f on the given interval? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A. The absolute maximum is _______ at x _________ (Use a comma to separate answers as needed. Type exact answers, using radicals as needed.)
B. There is no absolute maximum of f on the given interval.
What is the absolute minimum of f on the given interval? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice
A. The absolute minimum is _______ at x = ______ (Use a comma to separate answers as needed. Type exact answers, using radicals as needed.)
B. There is no absolute minimum of f on the given interval
The absolute maximum is 7.746 at x = -√15, √15.
To find the absolute maximum value of the function f(x)=x√(30-x²) on the given interval [-√30. √30], we first find the critical points by taking the first derivative of the function and setting it to zero. Then we evaluate the function at the critical points and the endpoints of the interval.
We get the maximum value of 7.746 at x = -√15 and x = √15, which is the absolute maximum value of the function on the given interval. Since the interval is symmetric about the origin, we can only find the absolute maximum of the function.
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Help please ASAP Thank you
Answer:
uh is it 2 and o.6 i think
Step-by-step explanation:
If events A and B are independent, what must be done to find the probability of event A AND B?
A. Multiply the probability of A and the probability of B.
B. Divide the probability of A and the probability of B.
C. Subtract the probability of A and the probability of B.
D. Add the probabilities of A and the probability of B.
The correct answer is A. When events A and B are independent, it means that the occurrence of one event does not affect the probability of the other event occurring.
In other words, the probability of A occurring does not depend on whether B occurs or not, and vice versa.
To find the probability of both A and B occurring, we need to use the multiplication rule of probability. The multiplication rule states that the probability of two independent events occurring together is equal to the product of their individual probabilities. That is, P(A and B) = P(A) × P(B).
For example, if the probability of event A occurring is 0.3 and the probability of event B occurring is 0.4, then the probability of both events occurring together is:
P(A and B) = P(A) × P(B) = 0.3 × 0.4 = 0.12
Therefore, to find the probability of event A AND B when events A and B are independent, we simply multiply the probability of A by the probability of B.
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The value of c in the perfect square trinomial x^2 + 10x + c can be determined by examining the entries in the 6-column table.
In the given table, the first column represents \(x^2\) and has entries x, x, x, x, x. The second column represents x and has missing entries, which we need to determine. The third, fourth, fifth, and sixth columns also have missing entries.
To find the value of c in the perfect square trinomial \(x^2\) + 10x + c, we need to complete the table and observe the entries in the second column. Since the first column represents \(x^2\), we can see that each entry is \(x^2\). Thus, the missing entries in the second column are x, x, x, x, x, respectively.
The perfect square trinomial \(x^2\) + 10x + c can be factored as \((x + 5)^2\), which expands to \(x^2\) + 10x + 25. Comparing this with the given expression, we can conclude that c = 25.
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Let f be a function with first derivative defined by f'(x)=(3x^2-6)/(x^2) for x>0. It is known that f(1)=9 and f(3)=11. What value of x in the open interval (1, 3) satisfies the conclusion of the Mean Value Theorem for f on the closed interval [1, 3]?
The value of x in the open interval (1, 3) that satisfies the conclusion of the Mean Value Theorem for f on the closed interval [1, 3] is x = √3.
What is first derivative function?The first derivative of a function in calculus is a different function that shows how quickly the original function is changing at each location in its domain.
As the change in the input gets closer to zero, it is described as the limit of the difference quotient.
By the Mean Value Theorem, we know that there exists a value c in the open interval (1, 3) such that:
f'(c) = (f(3) - f(1))/(3 - 1)
Substituting the given values, we have:
f'(c) = (11 - 9)/(3 - 1) = 1
Now we can solve for c by setting f'(c) equal to the given expression for f'(x) and solving for x:
f'(x) = (3x² - 6)/(x²) = 1
Multiplying both sides by x² and rearranging, we get:
3x² - x² - 6 = 0
Simplifying the left side, we have:
2x² - 6 = 0
Dividing both sides by 2, we get:
x² - 3 = 0
Taking the positive square root, we have:
x = √3
Since √3 is in the open interval (1, 3), it satisfies conclusion of the Mean Value Theorem for f on closed interval [1, 3]. The result of the Mean Value Theorem for f on the closed interval [1, 3] is thus satisfied by the value of x in the open interval (1, 3), which is x = 3.
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To make green paint, 3 parts yellow paint are mixed with 2 parts blue paint. Janis has 12 L of blue
paint. How much yellow paint does she need? Explain.
Answer:
jain has 3 blue paints the boys has 2 blue paints jain needs them
Pentagon A is rotated 180° about its center and then translated to create pentagon B.
What is the value of x?
The value of x after the simultaneous rotation and translation of pentagon A to create pentagon B is 110°
What is the translation of plane figures?A plane figure translation is an isometry that translates each position of the figure at a distance and in a direction indicated by the vector.
It is also regarded as a sort of transformation that involves sliding each point in a plane figure at an identical distance in a similar direction.
From the attached image, the value of x after the simultaneous rotation and translation of pentagon A to create pentagon B is 110°.
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HELLLLPPPP PLEASEEE Solving Inequalities
Answer:
x≥3
Step-by-step explanation:
-14
-26
-5
-20
What number is the least?? I NEEED THIS ASAP PLSSS HELP
Answer:
-26!!!!
Step-by-step explanation:
plz give me brainliest!!!
A wall is 15 ft. High and 10 ft. From a house. Find the length of the shortest ladder which will just touch the top of the wall and reach a window 20.5 ft. Above the ground.
Answer:
the length of the shortest ladder is 11.41 feet
Step-by-step explanation:
The computation of the length of the shortest ladder is shown below:
AB^2 = AC^2 + BC^2
AB^2= (10)^2 + (5.5)^2
AB^2= 100 + 30.25
AB^2 = 130.25
AB = 11.41 feet
hence, the length of the shortest ladder is 11.41 feet
PLEASE HELP FAST!!! Which system of equations is graphed above?
Which one is the right answer?
A. X-y=6
4x+3y=1
B. X-y=6
3x+4y=4
C. X+y=6
4x-3y=3
D. X+y=6
3x-4y=4
The points are (-2,3) and (6,r) lie in a line with slope (3/2). find the missing coordinate
r=_
Answer:
15
Step-by-step explanation:
(-2,3)-x1,y1
6,r -x2,y2
slope(m)=3/2
m= y2-y1/x2-x1
3/2= r-3/8
r=15