Answer:
y = 1/5x - 8
Step-by-step explanation:
What is the surface area of the cuboid below?
Remember to give the correct units.
8 m
12 m
3 m
Answer:
A=312m
Step-by-step explanation:
View image attached
2x + 7 < -11 or -3x - 2 < 13
The value of x is in the range (-∝,-9)∪(-5,∝)
Given inequalities :
2x + 7 < -11 or -3x -2 < 13
⇒ 2x < -11 -7 or -3x < 13+2
⇒ 2x < -18 or -3x < 15
⇒ x < -9 or -x < 5
⇒ x < -9 or x > -5
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Given a fair six-sided number cube. What is the probability of the complement of rolling a 3 or 4?
Question 8 options:
2/6
1/3
1/2
2/3
Given the graphs of y = f(x) and y = g(x), what is the value of f(x)-g(x) where the two graphs intersect?
Answer:
0
Step-by-step explanation:
If they want the values of where the graphs intersect, that means the values are both = to each other, meaning subtracting the same value by the same value is 0
suppose we want to estimate the mean quality ratings for the dfw airport. a simple random sample of 25 travelers at this airport is selected and each traveler is asked to provide a rating for this airport. the maximum possible rating is 5. the sample provided a mean of 3.84 and a standard deviation of 0.55. assume the population of ratings is approximately normal. an 80% confidence interval estimate of the population mean rating is:
The 80% confidence interval estimate of the population mean rating for DFW airport can be calculated using the formula:
Margin of error = (Z-score)*(standard deviation/sqrt(sample size))
where the Z-score for 80% confidence level is 1.28.
So, the margin of error = (1.28)*(0.55/sqrt(25)) = 0.28.
Therefore, the confidence interval estimate can be calculated by subtracting and adding the margin of error to the sample mean:
Confidence interval = sample mean ± margin of error
Confidence interval = 3.84 ± 0.28
Confidence interval = (3.56, 4.12)
The question requires us to find an 80% confidence interval estimate for the population mean rating of DFW airport using a sample of 25 travelers. The formula for the margin of error is used to calculate the range of values within which the population mean is likely to fall. The Z-score for the 80% confidence level is used in the formula. We then use this margin of error to calculate the confidence interval estimate by adding and subtracting it from the sample mean. This gives us a range of values within which we can be confident that the population mean rating falls.
The 80% confidence interval estimate for the population mean rating of DFW airport is (3.56, 4.12). This means that we can be 80% confident that the population mean rating falls within this range of values. The sample mean of 3.84 is the best estimate of the population mean rating, and the margin of error of 0.28 indicates the level of uncertainty in this estimate.
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Evaluate the expression 4^x/2^x for x=3
Answer:
\(\frac{64}{2^3}\)
Step-by-step explanation:
\(\frac{4^x}{2^x} = \frac{4^3}{2^3} = \frac{64}{2^{3}}\)
Write each of these as an integer or fraction.
a. 2 x 2³
b. (-2.5)²
Answer:
a) 2 * 8 = 16
b) (-2.5)(-2.5) = 6.25 = \(\frac{625}{1000} = \frac{5}{8}\)
Step-by-step explanation:
Please hurry and answer correctly.
What is the area of the figure shown?
Answer:
the answer is c cuz if u do da math and add stuff u get 52 sq. cm
Step-by-step explanation:
The ribbon on a spool is 13 yards long. How many 4 inch pieces of ribbon can be cut from the spool?
Answer:
117
Step-by-step explanation:
13 yards = 468 inches
468 ÷ 4 = 117
does anybody play Ro,blox???
Answer:
yea bro
Step-by-step explanation:
i play
Select all the expressions which have 3 as the greatest common factor of the terms.
A. b + 3 + 6c
B. 27n + 66p
C. 38 – 9j + 6k
D. 12x + 75y + 21
E. –32 – 24z
There are A to E equations. The equation B and D area the equations have 3 as the greatest common factor.
Given that,
There are A to E equations.
We have to find that which equation is having 3 as the greatest common factor.
To check the the greatest common factor we have to multiply by 3.
A. b+3+6c
Divide by 3.
b/3+3/3+6c/3
b/3+1+2c
The equation does not have 3 as the greatest common factor.
B. 27n+66p
Divide by 3
27n/3+66p/3
9n+22p
The equation have 3 as the greatest common factor.
C.38-9j+6k
Divide by 3
38/3-9j/3+6k/3
38/3-3j+2k
The equation does not have 3 as the greatest common factor.
D.12x+75y+21
Divide by 3
12x/3+75y/3+21/3
4x+25y+7
The equation have 3 as the greatest common factor.
E. -32-24z
Divide by 3
-32/3-24z/3
-32/3-8z
The equation does not have 3 as the greatest common factor.
Therefore, The equation B and D area the equations have 3 as the greatest common factor.
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Select the correct answer.
What type of transformation does shape A undergo to form shape B?
A.
a reflection across the x-axis
B.
a translation 3 units right and 1 unit down
C.
a 90° counterclockwise rotation
D.
a 90° clockwise rotation
The type of transformation that shape A passed through to form shape B is
D. a 90° clockwise rotation
How to find the transformationWe find the transformation by investigating the image, we can see that the image made a clockwise rotation of 90 degrees
A 90° clockwise rotation refers to a transformation in which an object or coordinate system is rotated 90 degrees in the clockwise direction, which means it turns to the right by a quarter turn.
In a two-dimensional space, a 90° clockwise rotation can be visualized by imagining the object or points rotating around a central axis in the clockwise direction.
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The type of transformation which shape A undergo to form shape B include the following: D. a 90° clockwise rotation.
What is a rotation?In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.
Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this polygon in order to determine the coordinate of its image;
(x, y) → (y, -x)
Shape A = (-1, 2) → shape B (2, 1)
Shape A = (-1, 4) → shape B (4, 1)
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Jasper was testing H_0: \mu=36H
0
:μ=36H, start subscript, 0, end subscript, colon, mu, equals, 36 versus H_\text{a}: \mu\neq36H
a
:μ
=36H, start subscript, start text, a, end text, end subscript, colon, mu, does not equal, 36 with a sample of 161616 observations. His test statistic was t=2. 4t=2. 4t, equals, 2, point, 4. Assume that the conditions for inference were met. What is the approximate P-value for Jasper's test?
Answer:
0.02<P-value<0.04
Step-by-step explanation:
solved in Khan Academy
Find half of the time that Arnold skied without falling, and write inequalities to compare it with the times others in the family skied without falling
The half of the time that Arnold skied without falling is 712 as 2 x 356=712>223 .
Inequality is a mathematical statement that illustrates the connection between two expressions by using the inequality symbol. The phrases on both sides of an inequality sign are distinct. It indicates that the left expression should be larger or smaller than the right expression, or vice versa. When the link between two algebraic expressions is expressed using inequality symbols, literal inequalities arise.
The discrepancy represents the incident in which Kelvin skied for more than twice as long as anybody else in his family:
2f < 223
Here 223 is the time for Kelvin.
Check for Lori as follows:
2f < 223
2 x 55=110 < 223
Kelvin skied without falling more than twice as long as Lori.
Check for Vanessa as follows:
2f < 223
2 x 265=530>223
Check for Arnold as follows:
2f < 223
2 x 356=712>223
Kelvin skied without falling less than twice as long as Arnold.
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Complete question:
Kelvin wants to know whether he skied without falling more than twice as long as anyone else in his family. His dad tells him that he can check by using the inequality 2f < 223, where f is the time skied in seconds for each person. Plug the values for the time skied by each person into the inequality to find the answer.
Lori 55
Vanessa 265
Devon 172
Celia 112
Arnold 356
Number of batches(x) Total number of cookies)
100
8
160
As part of a math assignment, James makes a
graph of his cookie function. Before handing it
in, he compares it to the table.
Do the table and the graph represent the same
function?
9
180
10
200
11
Click on the correct answer.
220
12
240
Yes
No
y-axis
230
220
210
200
190
180
170
160
0
0 8
9
10
11
12
x-axis
Answer:
can yhu see the answer i put?
Step-by-step explanation:
Answer: The answer is (yes)
Step-by-step explanation:I got it correct.
Complete the similarity statement for the following triangles
Triangle ABC is similar to triangle CDE by the Angle-Side-Angle congruence theorem.
What is the Angle-Side-Angle congruence theorem?The Angle-Side-Angle (ASA) congruence theorem states that if any of the two angles on a triangle are the same, along with the side between them, then the two triangles are congruent.
For this problem, the triangles were reflected over vertex C, hence:
<D = <B.<E = <A.Additionally, the side length between these two angles is equal, hence the ASA theorem is used to prove the similarity of the two triangles.
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Please answer correctly.
Answer:
same thing for the rest, you just change the value of the radius according to the question
Step-by-step explanation:
area = pi * radius²
1)
a = pi * 10²
a = ~3.14 * 100
a = 314 mi²
The diagram below shows the dimensions
of a rectangular tabletop.
6 3/4 feet
3 feet
The wood to make the tabletop costs
$12.40 per square foot. What is the cost
of the tabletop?
A $232.50
B $243.00
© $251.10
D$260.40
The cost of the tabletop is $251.10. Option C
How to determine the costThe formula for calculating the area of a rectangle is expressed as;
Area = lw
Such that the parameters are;
l is the length of the rectangle.w is the width of the rectangle.From the diagram shown, we have;
The width = 6 3/4 feet = 27/4 feet
The length = 3 feet
Substitute the values
Area = 27/4 × 3
Multiply
Area = 20. 25 square feet
But;
1 square foot = $12.40
Then 20. 25 square feet = x
x = $251. 10
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two marbles are drawn without replacement from a box with 3 white, 2 green, 2 red, and 1 blue marble. find the probability that both marbles are red.
The probability that both marbles are red is 2/14 or 1/7.
This is because there are only two red marbles in the box, so the probability of the first being drawn is 2/14 (or 1/7). Since the first marble is not replaced, the probability of the second being drawn is also 2/14 (or 1/7). Mathematically, this can be expressed as: P(Both Red) = P(Red 1) x P(Red 2) = (2/14) x (2/14) = 1/7
In general, when dealing with probability questions involving drawing multiple objects from a box, the probability of drawing one object followed by another is calculated by multiplying the probability of drawing each individual object.
In the case of two marbles being drawn without replacement, the probability of both marbles being the same color is calculated by multiplying the probability of the first marble being of that color by the probability of the second marble being of that color.
The probability of the second marble being of the same color is lower than the probability of the first marble being of that color since it is drawn from a reduced set (the original set minus the first marble).
In this case, the probability of the second marble being of the same color as the first is 2/14, or 1/7. In conclusion, the probability of both marbles being red is 2/14, or 1/7.
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Use the given right triangle to find ratios, in reduced form, for sinA, cosA, and tanA.
Answer:
SinA=P/H
CosA=B/H
TanA=P/B
Hypotenuse=85
Perpendicular=13
Base=84
SinA=13/85
CosA=84/85
TanA= 13/84
I think it will help you.
Which is equivalent to rootindex 5 startroot 1,215 endroot superscript x?
The equivalent expression is \(1215^\frac x5\)
How to determine the equivalent expression?The expression is given as:
rootindex 5 startroot 1,215 endroot superscript x
Rewrite properly as:
\(\sqrt[5]{1215^x}\)
Apply the law of indices
\(1215^\frac x5\)
Hence, the equivalent expression is \(1215^\frac x5\)
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Factor the expression completely.
−
100
�
5
+
90
−100x
5
+90
The expression \(-100^5 + 90\) is completely factored as \(-(10^5 + 3)(10^5 - 3)\).
What is an expressiοn?Mathematical expressiοns cοnsist οf at least twο numbers οr variables, at least οne arithmetic οperatiοn, and a statement. It's pοssible tο multiply, divide, add, οr subtract with this mathematical οperatiοn.
The expression \(-100^5 + 90\) can be factοred as follows -
Grοup the negative sign with the first term -
\(= -(100^5) + 90\)
Evaluate \(100^5\) as \((10^2)^5 = 10^{10}\) -
\(= -(10^{10}) + 90\)
Factor οut a negative sign -
\(= -(10^{10} - 90)\)
Factor the difference of twο squares, where \(a = 10^5\) and b = 3 -
\(= -(10^5 + 3)(10^5 - 3)\)
Therefore, the expressiοn is factored as \(-(10^5 + 3)(10^5 - 3)\).
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Given the equations below. Make a conjecture as to what the next two equations in the patter are. 2 4 3x4 1 + 3x4 1. + 1x2 2x3 1 2×3 + 1 2. + 1x2 1 3. + 1 2x3 1x2 4.? 5.?
The conjecture for the next two equations in the pattern would be
2x3x4 + 1 5. + 1x2x3
2x4 1 + 1x2 3x4 + 1 6.
For the first equation, it can be observed that it is a product of 2x1, which is 2. For the second equation, the product is 2x2, which is equal to 4.
For the third equation, it's a bit more complex than the first two equations. It is a product of 3x4, which is equal to 12.
The next term is 1 added to 3x4, making it 13.
The last term in the equation is 1x2, which is equal to 2.
For the fourth equation, it can be observed that the product is 2x3, which is equal to 6. The next term is 1 added to 2x3, making it 7.
The last term is 1x2, which is equal to 2.
For the fifth equation, the conjecture would be 2x3x4 + 1, which is equal to 25.
The last term is 1x2x3, which is equal to 6.
For the sixth equation, the conjecture would be 2x3x4 + 1, which is equal to 25.
The last term is 1x2x4, which is equal to 8.
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3 folders cost $2.91. How much do 2 folders cost? Provide explanation.
Move the dot to 12 on the number line.
-3
Answer:
Since the number line is in increments of 3 you have to move it four lines past 0.
Step-by-step explanation:
The number line is done in increments of 3.
Find the slope (rate of change) of a line that passes through (-2, -3) and (1, 1).
1. 1/3
2. 1
3. 2
4. 4/3
Answer:
4. 4/3
Step-by-step explanation:
(-2, -3) (1,1)
1+3/1+2=
4/3
Tina's teacher wrote 7/8 on the whiteboard. What percentage is equivalent to the fraction that Tina's teacher wrote on the whiteboard?
I think it's like 0.88, but I believe that's it rounded up.
If point C is between points A and B, then ___ + CB = AB.
A. BC
B. CA
C. ABC
D. AB
Answer:
\(\fbox {B. CA}\)
Step-by-step explanation:
Picture the line segment :
⇒ A ---------------- C ------------------ B
Then :
⇒ CA + CB = AB
An object is translated by (x-2, y-6). If one point in the pre-image has the coordinates (-3, 7), what would be thecoordinates of its image?(-9,5)(-1, 13)(-5,1)(-1,7)
Answer:
C. (-5,1)
Explanation:
One point in the pre-image has the coordinates (-3, 7)
The translation rule is given below:
\((x,y)\to(x-2,y-6)\)Therefore, the coordinates of its image will be:
\(\begin{gathered} \mleft(-3,7\mright)\to\mleft(-3-2,7-6\mright) \\ =(-5,1) \end{gathered}\)The correct choice is C.
HELP DUR ON FRIDAY!!!!!!!!!!
Han and Tyler are each completing the same set of tasks on an online homework site. Han is using his smartphone and Tyler is using his tablet computer. Their progress is indicated by the circular bars shown in the image. The shaded arc represents the tasks that have been completed. When the full circumference of the circle is shaded, they will be finished with all the tasks.
Tyler says, "The arc length on my progress bar measures 4.75 centimeters. The arc length on Han's progress bar measures 2.25 centimeters. So, I've completed more tasks than Han has."
Do you agree with Tyler? Why or why not?
What information would you need to make a completely accurate comparison between the two students' progress?
Answer: I would not agree with Tyler ; you will need more information about the circle size of the online progress circle in order to figure out who has done more work.
Step-by-step explanation: ^^