Answer:
D has a horizontal symmetry.
13⅘ + (2.6)
11.2
16.0
-10.8
-11.2
Step-by-step explanation:
[tex] {13}^{ \frac{4}{5} } + 2.6 \\ [/tex]
[tex] \sqrt[5]{(13) {}^{4} } + 2.6 \\ [/tex]
[tex] \sqrt[5]{28561} + 2.6 \\ [/tex]
[tex]7.78 + 2.6 = 10.38 \\ [/tex]
A formula for 6 gallons of light green paint uses 3/8 gallon of white paint. Liam has 9/16 gallon of white paint. Does Liam have enough white paint to make 8 gallons of light green paint?
Yes, 9/16 gallon of white paint is enough for Liam to make 8 gallons of light green paint.
How do you defined the term unitary method?It is a method for estimating the value of a single unit from of the value of multiple units, as well as the value of multiple units from of the value of a single unit. With in unitary method, we everytime count the value of a unit one or quantity first, and then calculate the values of more or lesser quantities.For the given conditions; use unitary method.
3/8 gallons white paints ------> 6 gallons of light green paint.
Thus, from 1 gallons of white paint.
1 gallons white paints ------> (6×8)/3 gallons of light green paint.
For preparing 8 gallons of light green paint, multiply both side of equation by 9/16.
9/16 gallons white paints ------> (6×8)/3 × (9/16) gallons of light green paint.
on solving.
9/16 gallons white paints ------> 9 gallons of light green paint.
The requires value for light green paint is 8 gallons, we have prepared more than that that is 9 gallons.
Thus, Liam has sufficient white paint to make 8 gallons of light green paint.
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If the sum of squares for a sample containing 51 items equals 400, what is the standard deviation? 8.00 7.84 4.47 2.83
The standard deviation is 2.83 if the sum of squares for a sample containing 51 items equals 400 option (D) is correct.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
[tex]\rm SD = \sqrt{\dfrac{ \sum (x_i-X)^2}{n-1}[/tex]
SD is the standard deviation
xi is each value from the data set
X is the mean of the data set
n is the number of observations in the data set.
∑(x(i) - X)² = 400
n = 51
SD = √(400/51-1)
SD = √8
SD = 2.828 ≈ 2.83
Thus, the standard deviation is 2.83 if the sum of squares for a sample containing 51 items equals 400 option (D) is correct.
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Vector u has a magnitude of 10inches with a direction angle of 45 degrees. vector v has a magnitude of 10 inches and a direction angle of 225 degrees. what are the magnitude and the direction angle for the resultant vector?
The magnitude of the vector is 10√2 and the direction of the vector is 78.69°
Magnitude and the direction of the vectors:
A vector is a directed line segment with an initial point and a terminal point.
To calculate the magnitude of the vector using the Pythagorean Theorem or the distance formula, and to find its direction using the inverse tangent function.
The formula for the magnitude of the vector is
|v|=√(a²+b²)
And the formula for the direction of the vector is,
θ=tan⁻¹(b/a)
where
(a, b) represents the given point.
Given,
Vector u,
Magnitude = 10 in
Direction angle = 45°
Vector v,
Magnitude = 10 in
Direction angle = 225°
Now we have to find the magnitude by apply the value on it,
=> |v|=√(10² + 10²)
=> |v|=√(100 + 100)
=> |v|=√200
=> |v|=√2 x 100
=> |v|=10√2
Similarly, the direction of the vector is,
=> θ = tan⁻¹ (225 / 45)
=> θ = tan⁻¹ (5)
=> θ = 78.69°
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Initial estimates of the probabilities of events are known as _____ probabilities.
Initial estimates of the probabilities of events are known as prior probabilities.
Prior probability, in Bayesian statistics, is the probability of an event before new data is collected. This is the best rational assessment of the probability of an outcome based on the current knowledge before an experiment is performed.
The prior probability of an event will be revised as new data or information becomes available, to produce a more accurate measure of a potential outcome. That revised probability becomes the posterior probability and is calculated using Bayes' theorem. In statistical terms, the posterior probability is the probability of event A occurring given that event B has occurred.
The prior probability is the probability assigned to an event before the arrival of some information that makes it necessary to revise the assigned probability. The revision of the prior is carried out using Bayes' rule. The new probability assigned to the event after the revision is called posterior probability.
Initial estimates of the probabilities of events are known as prior probabilities.
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Is the following sentence true?
Changing 3x + 6 into 3(x + 2) is
an
example of reverse distributing
Answer:
true
Step-by-step explanation:
The test statistic value calculated by the statistical procedure selected is known as the?
The test statistic value calculated by the statistical procedure selected is known as the T-test.
What is a T-test?
The mean difference between two sets of observations is zero using the T-test, also known as the dependent sample t-test. When the population standard deviation is unknown, the student's t-test is a statistical tool for assessing assumptions about the mean of a small sample taken from a normally distributed population.
Probability theory, linear algebra, and differential and integral calculus play major roles in the mathematical theories underlying statistics.
Therefore, the test statistic value calculated by the statistical procedure selected is known as the T-test.
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Quadrilateral B is a scaled copy of quadrilateral A.
Its shortest side is 5 units long.
What is the scale factor from A to B?
By using the concept of dilation, we find that scale factor from A to B is equal to l' / 5, where l' is the length of the shortest side of the quadrilateral B.
What is the scale factor between two quadrilaterals?
Scale factor is a key variable used to dilate lengths and distances by rigid transformations. Then, the length of the shortest side of the quadrilateral B is equal to the product of the scale factor and the length of the shortest side of the quadrilateral A. Mathematically speaking, this kind of rigid transformation is represented by the following formula:
r = l' / l
Where:
r - Scale factorl - Length of the shortest side of the quadrilateral A.l' - Length of the shortest side of the quadrilateral B.If we know that l = 5, then the length of the shortest side of the quadrilateral B is equal to the following linear equation:
l' = 5 · r
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A line passes through the point(9,-8)
and has a slope of-2/3. Write an equation in slope-intercept form for this line.
.
KJSAnflkadfalkdmnfaldskjfnasd...
Francesca us making a scale drawing of the mural on a wall in her schools hallway.the mural is 12 ft high and 135 ft long.she is using a scale of 3 cm for every 4 ft.what is the dimensions of her scale drawing?
The dimensions of her scale drawing is 9 centimeters high and 101.25 centimeters long.
As we are informed from the question -
Measurement in real = measurement on scale
The 4 feet height measures 3 centimeters on scale
So, height of 12 feet on scale will be = (3/4) × 12
Performing multiplication and division to find the height of scale drawing
Height 12 feet on scale = 9 centimeters
The length of 135 feet will measure on scale = (3/4) × 135
Performing multiplication and division to find the height of scale drawing
Length 135 feet on scale = 101.25 centimeters
So, the dimensions of scale drawing will be 9 centimeters high and 101.25 centimeters long.
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Please help! Find the value of FG. The drawing is not to scale. EF=11 and EG=21
The value of FG is 32.
The drawing is attached with this.
Given that,
Value of EF = 11
Value of EG = 21
From the above given data we can assume that F and G be the corner points.
E is the point lie between F and G.
We have to find the value of FG. It may be a straight line.
So,
Value of FG = Value of EF + Value of EG
FG = 11 + 21
FG = 32
That is, the value of FG is 32.
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a submarine is traveling 200 feet below sed level it then ascends 75 feet what is the new position of the submarine?
Answer: 83
Step-by-step explanation:
you travill 25 feet long
38. Автор, проверяя набранные на компьютере страницы будущей
книги, обнаружил опечатки, данные о которых приведены в
таблице:
Номер страницы
1 2 3 4 5 6 7 8
Число опечаток 0 1 0 2 1 2 4 3
Верно ли, что стандартное отклонение данных этой выборки
не больше 1?
Answer:
the answer is clear
Step-by-step explanation:
you have to get the answer by completing the answer
Student tickets to a theme park are $15 per person plus a travel fee of $50. The equation y = 50+ 15x represents the total cost, where x is the number of students. If there are at least 10 students but no more than 15 going on the trip, what is the domain of the situation?
Based on the given parameters, the domain of the situation is 10 <= x <= 15
What is the domain of a function?The domain of the function is the set of input values of the graph
How to determine the domain of the situation?The equation of the function is given as:
y= 50 + 15x
Where
Travel fee = $50Theme park ticker = $15 per personFrom the question, we understand that:
At least 10 students but no more than 15 are going on the trip
When the above is represented as an inequality, we have
10 <= x <= 15
Where x is the number of students
Hence, the domain of the situation is 10 <= x <= 15
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Kofi is 5years older than Ama now. Two years ago, Kofi was twice as old as Ama. Find their ages now.
Answer:
Ama is an elephant so she is 2 years old
Step-by-step explanation:
In which triangle is the value of x equal to tan−1(StartFraction 3.1 Over 5.2 EndFraction)?
(Images may not be drawn to scale.)
A right triangle is shown. The length of the hypotenuse is 5.2 and the length of the side adjacent to the right angle is 3.1. The angle between the 2 sides is x.
A right triangle is shown. The length of the hypotenuse is 5.2 and the length of the side adjacent to the right angle is 3.1. The angle opposite to side with length 3.1 is x.
A right triangle is shown. The length of 2 sides are 5.2 and 3.1. The angle opposite to side with length 5.2 is x.
The right triangle that shows the length of the two sides is 5.2 and 3.1.
It is required to find the triangle.
What is trigonometry?The branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.
Given:
In trigonometry function, in a right triangle, a tangent of an angle x is equal to the ratio of the opposite side to angle x to the adjacent side to angle x.
According to given question we have:
Given that angle x will be:
[tex]x=tan^{-} \frac{3.1}{5.2}[/tex]
The opposite to angle x or perpendicular = 3.1 units
The adjacent side to angle x or base angle = 5.2 units
Therefore, the right triangle that shows the length of the two sides is 5.2 and 3.1.
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Answer:
b
Step-by-step explanation:
Please help meeeeeee I’m stressingggg out
Answer:
see attached for the tablelimit is 3Step-by-step explanation:
You want a table of values of the function sin(3x)/x as x nears zero, and an estimate of the limit of the function value as x → 0.
Table of valuesThe function f(x) = sin(3x)/x is an even function. That is ...
f(-x) = sin(-3x)/(-x) = -sin(3x)/-x = sin(3x)/x = f(x)
When f(-x) = f(x), the function is even. It is a reflection of itself across the y-axis. This means all of the function values for negative x-values are the same as for the corresponding positive x-values. We only need to fill in half the table to know what the other half looks like.
See the attachment for values calculated by a spreadsheet and rounded to 8 decimal places.
LimitThe table shows the difference from 3 gets smaller as x gets closer to 0. If we add more rows to the spreadsheet table (2nd attachment), we see that the value gets even closer to 3 as x nears zero. At x = 10^-7, we run up against the accuracy limits of the spreadsheet.
The limit of the expression is 3 as x approaches 0.
solve 2x + 6 < 10 or 2x + 8 > 20.
Answer:
Step-by-step explanation:
the answer you end up getting is D
2x/2 > 12/2x > 6
Because x is greater than 2
what are the answers ?! help pls !!! this is a timed T-T
Answer:I would say c
Step-by-step explanation: because it is the only one that makes sense
what fraction is equivalent to -0.5
I CAN SOLVE PROBLEMS.
5. Create an equivalent expression using the
additive inverse property.
-17- (25)
-17-25
6. Divide
debelow and determine if it will
terminate or repeat
The equivalent expression using the additive inverse property is -17- 25
How to create an equivalent expression using the additive inverse property?The expression is given as:
-17- (25)
The additive inverse property states that:
-x + x = 0
This also states that
-(x) = -x
Using the above as a guide, we have the following equation
-17- (25) = -17- 25
Hence, the equivalent expression using the additive inverse property is -17- 25
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In February 2003,
the Battlefords Chamber of
Commerce in Saskatchewan
placed a cage containing a
64-cubic foot ice cube along
Yellowhead Highway. Local
customers were asked
to predict when the ice cube
would melt enough for a ball
above the ice cube to fall through it. What was
the surface area of the cube?
The side length of the cube is 4 feet. Then the surface area of the cube will be 96 square feet.
What is a volume of a cube?Suppose that: The side length of the considered cube is L units. Then, we get:
The volume of that cube = L³ cubic units.
The surface area of that cube = 6L² square units.
In February 2003, the Battlefords Chamber of Commerce in Saskatchewan placed a cage containing a 64-cubic foot ice cube along Yellowhead Highway. Then the side length of a cube will be
64 = L³
L = ∛64
L = 4 feet
Then the surface area of the cube will be
SA = 6 x 4²
SA = 6 x 16
SA = 96 square feet
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The sum of three consecutive even integers (3 integers in a row) is 120.
Use the following setup and given equation to find your solution:
1st integer = x
2nd integer = x+2
3rd integer = x+4
Equation: x+(x+2)+(x+4)=120
Solve the equation above. What is the largest of the three integers?
Answer:
42
Step-by-step explanation:
x + x + 2 + x + 4 = 120
3x + 6 = 120
3x = 114
x = 114/3
x = 38
38, 40, 42
The three integers are 38, 40, and 42.
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Given that the sum of three consecutive even integers (3 integers in a row) is 120. The value of integers will be calculated as below:-
x + x + 2 + x + 4 = 120
3x + 6 = 120
3x = 114
x = 114/3
x = 38
1st integer = x = 38
2nd integer = x+2 = 38 + 2 = 40
3rd integer = x+4 = 38 + 4 = 42
Therefore, the three integers are 38, 40, and 42.
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the of a vector is the which that vector makes with
The angle that the vector [tex]\overrightarrow{\mathrm{A}}=2 \hat{i}+3 \hat{\mathrm{j}}[/tex] makes with the y-axis is (B) tan⁻¹ 2/3.
What do we mean by a vector?Vector is a colloquial term in mathematics and physics that refers to some quantities that cannot be expressed by a single number (a scalar) or to elements of some vector spaces.Vectors were first used in geometry and physics (typically in mechanics) to represent quantities with both a magnitude and a direction, such as displacements, forces, and velocity. In the same way that distances, masses, and time are represented by real numbers, such quantities are represented by geometric vectors.To find the angle of the given vector:
Given: [tex]\overrightarrow{\mathrm{A}}=2 \hat{i}+3 \hat{\mathrm{j}}[/tex]
So,
[tex]\begin{aligned}&\overrightarrow{\mathrm{A}}=2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}} \\&\overrightarrow{\mathrm{A}} \cdot \hat{\mathrm{j}}=\sqrt{13} \cos \theta \\&3=\sqrt{13} \cos \theta \\&\theta=\cos ^{-1}\left(\frac{3}{\sqrt{13}}\right)\end{aligned}[/tex]
Using the formula [tex]\tan \left(\cos ^{-1} x\right)=\frac{\sqrt{1-x^2}}{x}[/tex], we obtain:
[tex]\begin{aligned}&\theta=\tan ^{-1} \frac{\sqrt{1-\frac{9}{13}}}{\frac{3}{\sqrt{13}}} \\&\theta=\tan ^{-1}\left(\frac{2}{3}\right)\end{aligned}[/tex]
Therefore, the angle that the vector [tex]\overrightarrow{\mathrm{A}}=22_1^{\mathrm{A}}+3 \hat{\mathrm{j}}[/tex] makes with the y-axis is (B) tan⁻¹ 2/3.
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The correct question is given below:
The angle that the vector [tex]\overrightarrow{\mathrm{A}}=2 \hat{i}+3 \hat{\mathrm{j}}[/tex] makes with the y-axis is:
(A) tan⁻¹ 3/2
(B) tan⁻¹ 2/3
(C) sin⁻¹ 2/3
(D) cos⁻¹ 3/2
The following are the amounts of radiation received at a greenhouse.
6.1 6.8 8.7 9.0 10.2 10.3 10.6 10.8 10.9 11.0 11.1 11.5 11.7 12.2 13.4
find the sample range.
The given data be 6.1, 6.8, 8.7, 9.0, 10.2, 10.3, 10.6, 10.8, 10.9, 11.0, 11.1, 11.5, 11.7, 12.2, 13.4 then the sample range is 7.3.
What is meant by sample range?A well-liked and straightforward method for comparing the variability of various data distributions is the sample range. The formula for the sample range is the greatest value minus the smallest value. It is based on two values in a data set: the maximum and minimum.
The probability distribution of a statistic that is acquired by repeated sampling of a particular population is called the sampling distribution. It outlines a variety of potential possibilities for a statistic, such as the mean or mode of a population's mean or mode of some variable.
Arrange all values in your information set from low to high.
Subtract the lowest value from the highest value.
Let the given data be 6.1, 6.8, 8.7, 9.0, 10.2, 10.3, 10.6, 10.8, 10.9, 11.0, 11.1, 11.5, 11.7, 12.2, 13.4
13.4 - 6.1 = 7.3
Therefore, the sample range is 7.3
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Im stuck can someone help?
Answer:
- p / 2
Step-by-step explanation:
4 / -8 = - 1/2
p^3 / p^2 = p
- 1/2 * p = - p / 2
Which data set is the most spread from its mean?
14, 26, 24, 28
O22, 16, 18, 36
O22, 28, 20, 22
O 21, 19, 27, 25
Option B (22,16,18,36)
Mean- Mean is an average of the data collected in the data set. It can be found by dividing the sum of the values by the number of values. Median is the middle value of the data set when the values are placed in order from least to greatest.
It is easy to calculate: add up all the numbers, then divide by how many numbers there are.
Add all the numbers (22+16+18+36) = 92
Avarage = sum of the all given numbers/ total numbers
total numbers =4
so avarage= mean= 92/4 =23
(22,16,18,36) has the most spread because one number as low as 16 and one as high as 36. Our mean is 23, so that means that the spread is huge.
Hence the answer is (22,16,18,36).
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2x+15=25 find for x
Answer:
x= 5
Step-by-step explanation:
2x+ 15=25
-15 -15
2x= 10
/2 /2
x=5
Answer:
x = 5
Step-by-step explanation:
2x + 15 = 25
2x + 15 - 15 = 25 - 15 (subtract 15 from both sides)
2x = 10
2x/2 = 10/2 (divide by 2 on both sides)
x = 5
Consider this figure.
For A-C, select True or False for each statement about the sequences of transformation that can verify that traingle ABC is congruent to A'B'C'.
A. Triangle ABC is translated 1 unit to the left, followed by a reflection the x-axis. True/False
B. Triangle ABC is translated 1 unit to the right, followed by a reflection the x-axis. True/False
C. Triangle ABC is reflected across the x-axis, followed by a translation 1 unit to the right.
True/False
Answer is
A. False
B. True
C. False
According to the graph,
A (1, -2), B(b, - 2), C(1, -7), A'(-b , b), B'(-1 ,b), C'(-b , 1).
A. if ABC is reflected across x-axis. (x, y) reflected x-axis→ (x-y)
so A'(1,2), B' (b-2), C'(1-7) , it's no equal to title .
so A is false.
B. if ABC is translated 7 units to the left , up 8 units.
(x, y)→(x-7,y+8),
so A'(-b , b), B'(-1 ,b), C'(-b , 1)
it's equal to title. so B is true.
C. if ABC is translated 8 units down, 7 units to right
(x y)→(x+7, y-8),
so A' (8,-10),B'(13,-10), C'(8,-15)
it's not equal to title. so C is false.
A transformation is the movement of a figure. There are four types of transformations: reflection, rotation, translation, and dilation. Of these four types of transformations, a transformation can either be a congruent or similar shape to the original image. Congruent means that the shape or figure retains its size, shape, length, and angles of the original shape.
A rotation is a turn around a centre point. In a rotation, the distance from each point on the shape to the centre remains the same. A rotation is identified by a shape turning a specific amount degrees, usually 90, 180, or 270 degrees, around a point either clockwise or counter clockwise. This means with each rotation performed four things are given.
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What factor is paired with 6 to give to24
Answer: 4
Step-by-step explanation:
f=factor
24=6*f
24/6=f
f=4
Answer:
4 is paired with 6 to get 24
Step-by-step explanation:
Here are some examples I got from my math teacher:
So How do you find the factor pairs?
Factor pairs are a set of two integers that give a particular product when multiplied together. For example, 2 and 5 are a factor pair for the product of 10. Factor pairs can be negative numbers, but they must be whole numbers – that means that they can't be a fraction or a decimal.