Answer:
x = {1, 3}Step-by-step explanation:
5x² - 20x + 15 = 0x² - 4x + 3 = 0x² - 4x + 4 = 1(x - 2)² = 1√(x - 2)² = √1x - 2 = ± 1x = 2 ± 1x = 1, x = 3Please help!!!! ASAP!! I’ll give brainliest!!!
Answer:
First column 35
Second column 60
It is 91.6083916% likely that the soil sample contains organic matter
Step-by-step explanation:
700 -655= 35
300 -240= 60
655 +60 = 715
715÷655 = 0.916083916
0.916083916 x 100 = 91.6083916%
Keira rented a car for 3 days. She paid $118 rent
each day. Insurance for the 3 days came to a total of $35. How
much did Keira pay in all? Explain how you found your answer
Answer:
389
Step-by-step explanation:
3*118 + 35
solve the system of equations, -4x+3y= -2
the answer is x=1/2+3y/4
Answer:
x:(1/2,0)
y:(0,-2/3)
this is the points in the graphic
Help pleaseeeeeeeeeeee
Answer:
C. The cone is ⅓ the volume of the cylinder
Step-by-step explanation:
Volume of a cylinder = πr²h
Volume of a cone = ⅓πr²h
Assuming they both have the same height (h) and radius (r), from the formula given above, we see that the cone is ⅓ of the volume of the cylinder (πr²h)
Let's demonstrate this with figures:
Hypothetically, let,
h = 3 cm
r = 3 cm
Let's plug these values into each formula for a cone and a cylinder:
Cylinder = π*3³*3 = 27π cm³
Cone = ⅓(π*3²*3) = ⅓(27π) = 9π cm³
As you can see, the volume of the cylinder (27π) is 3 times the volume of the cone (9π)
Therefore:
The cone is ⅓ the volume of the cylinder
Given the following discrete uniform probability distribution, find the expected value and standard deviation of the random variable. Round your final answer to three decimal places, if necessary. Probability Distributionx 0 1 2 3 4 5 6 7 8 9 P(X
Answer:
[tex]E(x) = 4.500[/tex] --- Expected value
[tex]SD(x) = 2.872[/tex] --- Standard deviation
Step-by-step explanation:
Given
[tex]\begin{array}{ccccccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} & {6} & {7} & {8} & {9} \ \\ P(X=x) & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}}& {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} \ \end{array}[/tex]
Solving (a): Expected value
This is calculated using:
[tex]E(x) = \sum\limits^{9}_{i=0} x_i * P(X = x_i)[/tex]
Since they all have the same probability, the formula becomes:
[tex]E(x) = \frac{1}{10}\sum\limits^{9}_{i=0} x_i[/tex]
[tex]E(x) = \frac{1}{10}(0+1+2+3+4+5+6+7+8+9)[/tex]
[tex]E(x) = \frac{1}{10}*45[/tex]
[tex]E(x) = \frac{45}{10}[/tex]
[tex]E(x) = 4.500[/tex]
Solving (b): Standard Deviation
First, we calculate the variance using
[tex]Var(x) = E(x^2) - (E(x))^2[/tex]
In (a), we have:
[tex]E(x) = 4.500[/tex]
[tex]E(x^2)[/tex] is calculated as:
[tex]E(x^2) = \sum\limits^{9}_{i=0} x_i^2 * P(X = x_i)[/tex]
Since they all have the same probability, the formula becomes:
[tex]E(x^2) = \frac{1}{10}\sum\limits^{9}_{i=0} x_i^2[/tex]
So, we have:
[tex]E(x^2) = \frac{1}{10}(0^2+1^2+2^2+3^2+4^2+5^2+6^2+7^2+8^2+9^2)[/tex]
Using a calculator
[tex]E(x^2) = \frac{1}{10}(285)[/tex]
[tex]E(x^2) = 28.5[/tex]
So:
[tex]Var(x) = E(x^2) - (E(x))^2[/tex]
[tex]Var(x) = 28.5 - 4.5^2[/tex]
[tex]Var(x) = 28.5 - 20.25[/tex]
[tex]Var(x) = 8.25[/tex]
The standard deviation is then calculated as:
[tex]SD(x) = \sqrt{Var(x)}[/tex]
[tex]SD(x) = \sqrt{8.25}[/tex]
[tex]SD(x) = 2.872[/tex] ---- approximated
What is the z-score of a data value that is 3 standard deviations to the left of the mean?
Answer:
Step-by-step explanation:
look up z-table
3 std div. = 0.00135
Simplify: (9wº + 4w - 4)+(2w° +6w +9) A 1 1w3 - 2w -13 B 11wº+ 10w +5
Answer:
I believe it’s option c!
Step-by-step explanation:
Correct me if I’m wrong!
anyone know the answer
Step-by-step explanation:
the measure of arc RPQ is
360°-42° = 318°
Teresa's sugar cookie recipe calls for 2 1/3 cups of sugar. How much
sugar will she need to make 2 1/2 batches?
Answer:
5 5/6
Step-by-step explanation:
Multiply 2 1/3 by 2 1/2. The easiest way (?!) is to change both mixed numbers to improper fractions (I dislike that name! It just means a numerator bigger than the denominator).
2 1/3 Multiply the denominator 3 by the whole number 2, add the numerator 1 to get 6+1 = 7. Place that over the denominator, 3. So 2 1/3 = 7/3.
2 1/2 Multiply the denominator 2 by the whole number 2, add the numerator 1 to get 4+1=5. Place that over the denominator, 2. So 2 1/2 = 5/2.
Multiply 7/3 by 5/2.
[tex]\frac{5}{2} \cdot \frac{7}{3}=\frac{35}{6}[/tex]
Finally, convert the improper fractioin 35/6 to a mixed number by dividing 35 by 6 (6 goes into 35 5 whole times with 5 "left over"). The whole number part is 5 and the left over fraction part is 5/6.
5 5/6
At one point the average price of regular unleaded gasoline was $3.57 per gallon. Assume that the standard deviation price per gallon is $0.05 per gallon and use Chebyshev's inequality to answer the following. (a) What percentage of gasoline stations had prices within 4 standard deviations of the mean? (b) What percentage of gasoline stations had prices within 2.5 standard deviations of the mean? What are the gasoline prices that are within 2.5 standard deviations of the mean? (c) What is the minimum percentage of gasoline stations that had prices between $3.47 and $3.67?
Find the probability that a randomly chosen point in the figure lies in the shaded region. Round your
answer to the nearest hundredth
Please help !
Answer:
0.31
Step-by-step explanation:
the area of shaded region =
(2×½×8×10) = 80
the total area of fig. =
½×(34+18)×10 = 260
the probability = 80/260 = 0.31
A spinner like the one below is used in a game. Determine the probabilit that the spinner will land on an odd number less than nine.
A.3/2
B.5/12
C.1/3
D.6/11
Comparing exponential functions: mastery test
Answer:nice do it
Step-by-step explanation:
what is it about
show the problem
Step-by-step explanation:
What is the surface area of the right cone below?
The surface area of the right cone in terms of pi is 176π units².
How to calculate the surface area of a cone?A cone is simply a 3-dimensional geometric shape with a flat base and a curved surface pointed towards the top.
The surface area of a cone is expressed as;
Surface area = πrl + πr²
Where r is the radius of the base, l is the slant height of the cone and π is constant pi.
From the diagram:
Radius r = 8 units
Slant height h = 14 units
Surface area =?
Plug the given values into the above formula and solve for surface area:
Surface area = πrl + πr²
Surface area = ( π × 8 × 14 ) + ( π × 8² )
Surface area = ( π × 112 ) + ( π × 64 )
Surface area = 112π + 64π
Surface area = 176π units²
Therefore, the surface area is 176π units².
Option A)176π units² is the correct answer.
Learn about volume of cones here: brainly.com/question/1984638
#SPJ1
What transformations were applied to ABCD to obtain A'B'C'D?
Answer:
Step-by-step explanation:
The answer is B; 90°
Option C is the correct transformation to transform ABCD to A'B'C'D'.
What are rotation and translation?Rotation involves moving an object about a fixed point. Each point on the object describes a circular path with the center, the center of rotation.
Translation involves moving an object such that only one of the three cartesian coordinates changes during the transformation.
here, we have,
Rotation
Rotate the square ABCD counterclockwise about the origin. Sides AD and BC of square ABCD will become parallel to the sides A'D' and B'C' respectively of the square A'B'C'D'. The square ABCD is, thus, oriented the same way as the square A'B'C'D'.
Vertical Translation
After the rotation, the side AB is 1 unit above the y-axis, which is the same as that of the square A'B'C'D'. So, the vertical position of the square ABCD is the same as that of the square A'B'C'D'.
Horizontal Translation
The side AD of the square ABCD is 5 units to the left of the x-axis. The side A'D' of the square A'B'C'D' is 8 units to the left of the x-axis. So, translate the square ABCD to the left by 3 units to coincide with the position of A'B'C'D'.
Thus, to obtain A'B'C'D' from ABCD first rotate it by 90° counterclockwise then, translate it to the left by 3 units.
Learn more about the translation and rotation here
brainly.com/question/1046778
#SPJ5
RATE MY SINGING: what you know about rolling down in the deep when your brain goes numb you call that mental freeze if I gave you all my love would that make you happy yeah yeahhh eyahh
Answer:
wow!
Step-by-step explanation:
Andy said that any shape with more than three sides or angles has the same number of lines of
symmetry. Select the choice that correctly critiques Andy's reasoning.
o
A. Andy is correct because lines of symmetry start at the angles.
B. Andy is incorrect because the shape must be a regular figure.
O
C. Andy is correct because a rhombus cannot have a line of symmetry.
O D. Andy is incorrect because a pentagon does not have a line of symmetry.
Need answer please
Answer:
Andy is incorrect because the shape must be a regular figure.
Step-by-step explanation:
Andy is incorrect because the shape must be regular.
What is line of symmetry?The line of symmetry can be defined as the axis or imaginary line that passes through the center of shape or object and divides it into identical halves.
According to the given question
Andy said that "shape with more than three sides or angles has the same number of lines of symmetry".
As per the definition "line of symmetry passes through the center" so may be it starts with angles but not always. So option A is not correct for always.For the regular figures it is true that line of symmetry will same for example, for pentagon there is 5 lines of symmetry which is equals to the number of its side.But for irregular figure , there is no lines of symmetry.Hence, Andy is incorrect because the shape must be regular to find the line of symmetry.
Learn more about lines of symmetry here:
https://brainly.com/question/8902160
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Which rule explains why these triangles are congruent?
Answer:
SSS
Step-by-step explanation:
You can tell by the 2 dashes side and the one dash if that makes sense
Answer: SAS
Step-by-step explanation:
Order the temperatures for the week from hottest to coldest: 25 degrees, 2 degrees below zero, -16 degrees, and 40 degrees above zero.
A. -2°, -16°, 25°, 40°
B. -16°, -2°, 259, 16°
C. 40°, 25°, -16°, -2°
D. 40°,25°, 2°, -16°
E. 40°, 250, -2°, -16°
Answer:
C. 40,25,-16,-2 Celsius
13. In order for a field trip to be scheduled, at least 30 students
must sign up. So far, 23 students have signed up. At least
how many more students must sign up in order for the field
trip to be scheduled?
Z+3530
-23
27
Answer:
Step-by-step explanation:
I think its 1203
what is 36% of a number,n, if 80% of that number is 200
Answer:
90
Step-by-step explanation:
80% of n = 200
Change to decimal form
.80n = 200
Divide each side by .80
.80n/.80 = 200/.80
n =250
Now find 36% of that number
36% of 250
.36*250
90
How comfortable are you working with sequences?
A. I can find a rule for a sequence and then extend it. I can tell if a sequence is arithmetic, geometric, both, or neither. This comes easily to me.
B. I can find a rule for a sequence and then extend it. I need to use trial and error.
C. I can find and extend simple sequences, but I have trouble with those that are more complex.
D. I am not able to find or extend sequences.
Answer:
I'd recommended saying B, but they are asking YOU! Not us, so please answer this truthfully.
Examples of graphs of a single variable include pie charts, bar graphs, and time-series graphs. a. True b. False
Answer:
False.
Step-by-step explanation:
Time-series graph is a graph that relates something to the change of time, then the time is the single variable in this case.
Bar graphs relate a given quantity to a given variable, an example of this can be the population of a given city (represented by the height of each bar) for each different year (which is the single variable in this case)
Pie-chart is a circular graph with defined sections that represent a given proportion. This kind of graph is used to represent percentages, like in the case of a pie chart that describes the number of men and women in a city. (one section of the circle represents the percentage of women and the other section of the circle represents the percentage of men). In this type of graph, there are no variables, so this is not a single variable graph.
Then the statement:
"Examples of graphs of a single variable include pie charts, bar graphs, and time-series graphs."
Is false.
A teacher offers 8 extra credit assignments. what is the domain of this graph?
Answer:
C
Step-by-step explanation:
This is the shows the constant value on the X-axis
help please! which of the following represents two dependent events .
Answer:
i would say A
Step-by-step explanation:
Solve the system of equations -x-y=-4−x−y=−4 and -2x+4y=4−2x+4y=4 by combining the equations.
9514 1404 393
Answer:
(x, y) = (2, 2)
Step-by-step explanation:
We can put the second equation into standard form by dividing by -2.
x -2y = -2
Adding this to the first equation eliminates x
(x -2y) +(-x -y) = (-2) +(-4)
-3y = -6
y = 2 . . . . . divide by -3
-x -(2) = -4 . . . . substitute for x in the first equation
2 = x . . . . . . . . add 4+x
The solution is (x, y) = (2, 2).
deja bought a bag of mixed nuts the bag has 1/3 pounds of nuts she and her three friends split the nuts equal how much did each person get ?
Answer:
Each friend gets 1/12
Step-by-step explanation:
1/3 pounds of nuts in total
4 people
1/3 / 4
1/3 * 1/4 = 1/12
plzzzzzzz help for a brainly
Answer:
im pretty sure A.
Step-by-step explanation:
Ugh I hate problems like these
sorry if its not correct
Answer:
D
Step-by-step explanation:
-12 because 12-12=0 so if you want to get the numbers to equal to 0, you need to add -12
Find the length of side y.
y=_ft
Answer:
y = 5.66388 feet, (round that to whatever you need to round to)
Step-by-step explanation:
cos (51) = y/9
cos(51)*9=
y = 5.66388 feet
Ronald and Khalil had a 400 meter race Ronalds time was 1 minute and 51 seconds and Khalil time was 2 minutes and 34 seconds how much faster was Ronald time the khalil’s
Answer:
Ronald ran at a speed of 14.26 km / h, while Khalil did so at a speed of 9.35 km / h.
Step-by-step explanation:
Given that Ronald and Khalil had a 400 meter race, and Ronald's time was 1 minute and 51 seconds, and Khalil's time was 2 minutes and 34 seconds, to determine how much faster was Ronald time the Khalil’s, the following calculation must be performed:
400 x 2.5 = 1000
60 x 60 = 3600
1.51 = 101 x 2.5 = 252.5
2.34 = 154 x 2.5 = 385
252.5 = 1000
3600 = X
3600 x 1000 / 252.5 = X
14,257.43 = X
385 = 1000
3600 = X
3600 x 1000/385 = X
9,350.65 = X
14,257.43 / 1000 = 14.26
9,350.65 / 1000 = 9.35
Thus, Ronald ran at a speed of 14.26 km / h, while Khalil did so at a speed of 9.35 km / h.