Answers
Answer:
[tex]x^2+y^2 = 2x - 2y}[/tex]
Third answer option
Step-by-step explanation:
We are given the polar equation as
[tex]r = 2(\sin \theta - \cos \theta)[/tex]
and asked to convert it into rectangular form
We have the following equations which relate (r, θ) in polar form to (x, y) in rectangular form
[tex]\cos \theta=\dfrac{x}{r} \rightarrow x=r \cos\theta\\\\\sin \theta=\dfrac{y}{r} \rightarrow y=r \sin \theta\\\\[/tex]
[tex]r^2=x^2+y^2[/tex]
Original polar equation:
[tex]r = 2(\sin \theta - \cos \theta)[/tex]
Expand the right side:
[tex]r = 2\sin \theta - 2\cos \theta[/tex]
Substitute for sinθ and cosθ in terms of x and y
[tex]r & = 2\left(\dfrac{y}{r} - \dfrac{x}{r}\right)\\[/tex]
Multiply both sides by r:
[tex]r^2 = 2(x - y)\\r^2 = 2x - 2y\\[/tex]
Substitute [tex]r^2=x^2+y^2[/tex] on the left side:
[tex]\boxed{x^2+y^2 = 2x - 2y}[/tex]
This would be the third answer opton
Related Questions
A basket contains 3 green, 4 yellow, 5 blue and 6 red tickets, one of which is randomly selected.
Giving your answer in its simplest form, what's the theoretical probability of not drawing a yellow ticket?
Probability of not drawing a yellow ticket =
Again using theoretical probability, determine the chance of getting a green or red ticket. Give your answer as a fraction in its simplest form.
Probability of drawing a green or red ticket =
Answers
The theoretical probability of drawing a green or red ticket is 1/2 or 0.5.
We have,
There are a total of 3 + 4 + 5 + 6 = 18 tickets in the basket.
The probability of drawing a yellow ticket.
= 4/18
Since there are 4 yellow tickets out of 18 total tickets.
The probability of not drawing a yellow ticket is equal to the probability of drawing a green, blue, or red ticket.
There are 3 + 5 + 6 = 14 tickets that are not yellow.
The probability of not drawing a yellow ticket.
= 14/18
= 7/9
To find the probability of drawing a green or red ticket, we need to add the probabilities of drawing a green ticket and a red ticket.
The probability of drawing a green ticket.
= 3/18
The probability of drawing a red ticket.
= 6/18
Now,
The probability of drawing a green or red ticket is
= 3/18 + 6/18
= 9/18
= 1/2
Thus,
The theoretical probability of drawing a green or red ticket is 1/2 or 0.5.
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on a 28 question test there are 2-point questions, 4-point, and 5- point questions. the test is worth a total of 100 points. there are twice as many 2 point questions as 5point questions on the test how many 2point questions are on the test
Answers
Answer:
Number of 2-point questions on the test as per given condition is equals to 8.
Total number of questions in a test = 28
Total points allotted for test = 100
Questions distribution as per points :
2-point questions, 4-point questions, and 5-point questions
'x' represents the 5-point questions
As per condition given,
Number of 2-point questions = 2x
Number of( 2-point + 4-point + 5-point ) questions = 28
⇒ 2x + 4-point questions + x = 28
⇒ 4-point questions = 28 - 3x
Substitute the value in the given condition of the equation we get,
2(2x)+4(28-3x)+5(x) = 100
4x+112-12x+5x=100
112-3x=100
x=4
A jelly bean is selected at random from ajar and is not returned. The jar contains 8 red, 2 green, 4 blue, and 7 pink, jelly beans. Which is the probability of selecting a ed jelly bean on the first draw and a blue jelly bean on the second draw?
Answers
Answer:
There would be a 38% or 8/21 probability of picking a red jelly bean on the first draw and a 20% or 4/20 probability of picking a blue jelly bean on the second.
Step-by-step explanation:
There are 21 jelly beans in total. So on the first draw, there is an 8/21 chance you will get a red jelly bean. If you turn this fraction into a percentage, it is 38%.
Now that a jelly bean is missing, there are 20 jelly beans. There are four blue ones still, so there is a 4/20 chance of getting a blue jelly bean. Turning this ratio into a percent gets you 20%.
I would love a brainliest. I haven't had one yet and it would make my day. Hope this helped you!
The probability of selecting a red jelly bean on the first draw and a blue jelly bean on the second draw is 32/441.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have,
The jar contains 8 red, 2 green, 4 blue, and 7 pink, jelly beans.
total beans = 8 + 2 + 4 + 7 = 21
So, the probability of selecting a red jelly bean on the first draw and a blue jelly bean on the second draw
= 8/21 x 4 / 21
= 32 /441
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When working for a District Attorney, an investigator analyzed the leading digits of the amounts from 784 checks issued by seven suspect insurance companies. The frequencies were found to be 0, 12, 0, 73, 482, 186, 8, 23, and 0, and those digits correspond to the leading digits of 1, 2, 3, 4, 5, 6, 7, 8, and 9, respectively. If the observed frequencies are substantially different from the frequencies expected with Benford's Law, the check amounts appear to result from fraud. Use a 0.05 significance level to test for goodness-of-fit with Benford's Law. What is the value of the test statistic? Does it appear that the checks are the result of fraud?
Answers
Using chi-squared goodness-of-fit test with Benford's Law, observed check frequencies were found to be significantly different, indicating possible fraud. The test statistic was 756.153, exceeding the critical value of 15.51.
Using chi-squared goodness-of-fit test with Benford's Law, observed check frequencies were found to be significantly different, indicating possible fraud. The test statistic was 756.153, exceeding the critical value of 15.51.
To test for goodness-of-fit with Benford's Law, we can use the chi-squared goodness-of-fit test. The null hypothesis is that the observed frequencies follow Benford's Law, while the alternative hypothesis is that they do not.
We can start by calculating the expected frequencies for each leading digit based on Benford's Law. According to Benford's Law, the expected proportion of leading digits is
P(d) = log10(1 + 1/d), where d is the leading digit (1, 2, ..., 9).
Then, we can calculate the expected frequencies by multiplying the proportion by the sample size
Expected frequency for digit d = P(d) * sample size.
Using this formula, we can calculate the expected frequencies for each digit
Expected frequencies: 3.542, 2.019, 1.518, 1.221, 1.028, 0.886, 0.778, 0.697, and 0.643.
We can use these expected frequencies and the observed frequencies to calculate the chi-squared statistic
chi-squared = Σ (observed frequency - expected frequency)² / expected frequency
We can then compare this value to the chi-squared distribution with 8 degrees of freedom (since there are 9 digits and one constraint, which is that the frequencies must add up to the sample size). Using a significance level of 0.05 and a chi-squared distribution table or calculator, the critical value is 15.51.
Plugging in the observed and expected frequencies, we get
chi-squared = (0 - 3.542)²/3.542 + (12 - 2.019)²/2.019 + (0 - 1.518)²/1.518 + (73 - 1.221)²/1.221 + (482 - 1.028)²/1.028 + (186 - 0.886)²/0.886 + (8 - 0.778)²/0.778 + (23 - 0.697)²/0.697 + (0 - 0.643)²/0.643
chi-squared = 756.153
Since the calculated chi-squared statistic (756.153) is greater than the critical value (15.51), we reject the null hypothesis and conclude that the observed frequencies are not consistent with Benford's Law. This suggests that the check amounts are the result of fraud.
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Part E
Isaiah wants to compute his total earnings after picking 10 baskets of each fruit.
Complete the equations and find Isaiah's total earnings. Enter your answers in the boxes.
Apples: 10 x ____ = ____
24+ ___ = a
Peaches: 10 x ____ =
18+____= p
Total: a+p=$ ___
Answers
Isaiah's total earnings after picking 10 baskets of apples and peaches each is: $117
How to solve Algebra Word Problems?Algebraic word problems are defined as questions that require translating sentences to equations, then solving those equations. The equations we need to write will only involve. basic arithmetic operations. and a single variable. Usually, the variable represents an unknown quantity in a real-life scenario.
We are told that Isaiah as already earned $24 picking apples and $18 picking peaches.
Amount for each basket of apple = $3 each
Amount for each basket of Peach = $4.5 each
Thus, for 10 baskets each:
Apples = 10 * 3 = $30
a = 24 + 30
a = $54
Peaches = 10 * 4.5 = $45
p = 18 + 45
p = $63
Total earnings = a + p
= $54 + $63
= $117
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Complete question is:
Isaiah picks fruit at a local orchard. He has already earned $24 picking apples and $18 picking peaches. He earns $3 for each basket of apples and $4.50 for each basket of peaches picked.
Isaiah wants to compute his total earnings after picking 10 baskets of each fruit.
Complete the equations and find Isaiah's total earnings. Enter your answers in the boxes.
Apples: 10 x ____ = ____
24+ ___ = a
Peaches: 10 x ____ =
18+____= p
Total: a+p=$ ___
m/1 = x and m/2 = 2x. Find
the value of 'x'.
Answers
Answer:
-m = x is the answer hope it helps
[tex]\frac{v-2}{2v^2+10v} + \frac{1}{2v+10}=\frac{1}{2}[/tex]
Show all steps
Answers
The value of variable 'v' in the expression ( v - 2 ) / (2v² + 10v ) + 1 / ( 2v + 10 ) = 1 / 2 is equal to -4.
The expression is equal to,
( v - 2 ) / (2v² + 10v ) + 1 / ( 2v + 10 ) = 1 / 2
Simplify the expression we have,
⇒ ( v - 2 ) / 2v ( v + 5 ) + 1 / 2( v+ 5 ) = 1 / 2
Take the least common multiple of the denominator we have,
⇒ [( v - 2 ) + 2 ] / 2v( v+ 5 ) = 1 / 2
⇒ v / 2v( v+ 5 ) = 1 / 2
Multiply both the sides of the expression by 2 we get,
⇒ 1 / 2( v+ 5 ) = 1 / 2
⇒ 1 /( v + 5 ) = 1
Cross multiply the expression we get,
⇒ v + 5 = 1
Subtract 5 from the both the sides of the equation we get,
⇒ v = -4
Therefore , the value of v in the given expression is equal to -4.
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if I made a profit of $3,250 after selling stocks for $10,500 after 4 years what was my average annual percentage game.
Answers
Answer:
To calculate the average annual percentage gain, we need to use the formula:
Average annual percentage gain = ((Ending value / Beginning value)^(1/n) - 1) x 100%
where:
- Ending value = the value of the investment at the end of the period
- Beginning value = the value of the investment at the beginning of the period
- n = the number of years
In this case, the beginning value of the stocks is not given, so we cannot calculate the exact average annual percentage gain. We only know the profit and the ending value. However, we can make an estimate assuming that the profit is equal to the gain, i.e., there were no transaction costs or other fees.
If the profit was $3,250 and the ending value was $10,500, then the beginning value was:
Beginning value = Ending value - Profit
Beginning value = $10,500 - $3,250
Beginning value = $7,250
The number of years is given as 4.
Using the formula above, we can estimate the average annual percentage gain as:
((10,500 / 7,250)^(1/4) - 1) x 100%
= (1.1267^(0.25) - 1) x 100%
= (1.0266 - 1) x 100%
= 0.0266 x 100%
= 2.66%
Therefore, the estimated average annual percentage gain is 2.66%.
Step-by-step explanation:
What is 2x-5y=9 in slope intercept form?
Answers
In an election, the median number of votes a candidate received in 6 towns was 250. Which statement MUST be true about this election?
OA. The total number of votes the candidate received in the election was 1500.
OB. The candidate received at least 250 votes in half of the 6 towns.
OC. The candidate received exactly 250 votes in at least two of the towns.
O D. The total number of votes received by all the candidates in the election was 1500.
Answers
Answer:
B. The candidate received at least 250 votes in half of the 6 towns.
This is because the median number of votes is the middle value when all the vote counts are put in order. This means that at least three towns gave the candidate more than 250 votes, and at least three towns gave the candidate fewer than 250 votes. So, the candidate received at least 250 votes in half of the 6 towns. The total number of votes the candidate received in the election cannot be determined from this information. Similarly, the number of votes received in individual towns cannot be determined.
Ayuda por favor es para mañana, fracciones equivalentes. Doy coronita
Answers
These fractions are equivalent fractions by algebraic property:
Case 1: YES
Case 2: NO
Case 3: YES
Case 4: NO
Case 5: YES
Case 6: YES
Case 7: NO
Case 8: YES
Case 9: YES
Case 10: YES
Case 11: NO
Case 12: YES
Case 13: NO
Case 14: YES
Case 15: YES
Case 16: YES
Case 17: NO
Case 18: YES
How to determine if two fractions are equivalent
In this question we must check 18 cases of equivalent fractions, two fractions are equivalent if the following algebraic property is met:
a / b = (a · c) / (b · c), where a, b, c are integers and c is nonzero.
Now we proceed to determine if each pair is equivalent:
Case 1
2 / 3 = (2 · 2) / (3 · 2)
2 / 3 = 4 / 6 (YES)
Case 2
2 / 6 = (2 · 3) / (6 · 3)
2 / 6 = 6 / 18 (NO)
Case 3
9 / 9 = (9 · 4) / (9 · 4) = 36 / 36 (YES)
Case 4
3 / 11 = (3 · 3) / (11 · 3) = 9 / 33 (NO)
Case 5
7 / 8 = (7 · 2) / (8 · 2) = 14 / 16 (YES)
Case 6
4 / 6 = (4 · 5) / (6 · 5) = 20 / 30 (YES)
Case 7
5 / 6 = (5 · 2) / (6 · 2) = 10 / 12 (NO)
Case 8
2 / 7 = (2 · 4) / (7 · 4) = 8 / 28 (YES)
Case 9
6 / 12 = (6 · 2) / (12 · 2) = 12 / 24 (YES)
Case 10
4 / 9 = (4 · 5) / (9 · 5) = 20 / 45 (YES)
Case 11
9 / 10 = (9 · 3) / (10 · 3) = 27 / 30 (NO)
Case 12
1 / 5 = (1 · 5) / (5 · 5) = 5 / 25 (YES)
Case 13
12 / 12 = (12 · 3) / (12 · 3) = 36 / 36 (NO)
Case 14
8 / 11 = (8 · 4) / (11 · 4) = 32 / 44 (YES)
Case 15
5 / 5 = (5 · 4) / (5 · 4) = 20 / 20 (YES)
Case 16
6 / 9 = (6 · 4) / (9 · 4) = 24 / 36 (YES)
Case 17
3 / 7 = (3 · 8) / (7 · 8) = 24 / 56 (NO)
Case 18
10 / 12 = (10 · 4) / (12 · 4) = 40 / 48 (YES)
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6-Tel, Inc. is a telecommunication services provider looking to expand to a new territory Z; it is analyzing whether it should install its own telecom towers or lease them out from a prominent tower-sharing company T-share, Inc.
Leasing out 100 towers would involve payment of $5,000,000 per year for 5 years. Erecting 100 news towers would cost $18,000,000 including the cost of equipment and installation, etc. The company has to obtain a long-term secured loan of $18 million at 5% per annum. Owning a tower has some associated maintenance costs such as security, power and fueling, which amounts to $10,000 per annum per tower.
The company's tax rat is 40% while its long-term weighted average cost of debt is 6%. The tax laws allow straight-line depreciation for 5 years. Determine whether the company should erect its own towers or lease them out.
Answers
Answer:
The present value of leasing the towers is $19,576,000 while the present value of erecting new towers is $20,273,000. Therefore, the company should lease the towers.
Step-by-step explanation:
An unknown number w is 30 more than an unknown number p. The number w is also p less than 5. The equations to find p and w are shown below: w = p + 30 w = −p + 5 Which is a correct step to find p and w? (1 point) Add the equations to eliminate p. Multiply the equations to eliminate w. Write the points where the graphs of the equations intersect the x-axis. Write the points where the graphs of the equations intersect the y-axis.
Answers
The correct step find p and w is - add the equations to eliminate p. The correct option is the first option
Solving for variables in a system of linear equations: Determining the correct step to find p and wFrom the question, we are to determine which of the given steps is a correct step to find p and w.
The given system of equations is:
w = p + 30
w = −p + 5
From the above equation, we can easily add the equations to eliminate p
That is,
w = p + 30
+ w = −p + 5
------------------------
2w = 35
We can then solve for by dividing both sides by 2
2w / 2 = 35 / 2
w = 17.5
To determine the value of p, we can substitute the value of w into any of the equations
w = p + 30
17.5 = p + 30
p = 30 - 17.5
p = 12.5
Hence,
The correct step is add the equations to eliminate p
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Find the surface area
Answers
The surface area of the prism is 70.44 yd²
What is surface area of prism?A prism is a solid shape that is bound on all its sides by plane faces. There are different types of prism, triangular prism, rectangular prism e.t.c
The surface area of a prism is expressed as;
SA = 2B +pH
where B is the base area and p is the perimeter of the base and h is the height of the prism
Base area = 1/2 bh
= 1/2 × 3 × 3 = 4.5 yd²
The hypotenuse of the triangle = √3²+3²
= √9+9 = √18 = 4.24
perimeter of the base = 4.24+3+3 = 10.24yds
Therefore,
SA = 2×4.5 + 10.24 × 6
SA = 9 + 61.44
SA = 70.44 yd²
therefore the surface area of the prism is 70.44yd²
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(Time limit) Tell if the graph is a function or not.
Give me the domain and range.
Answers
The graph is a function: yes.
The domain of this function is: x ≥ -3.
The range of this function: all real numbers.
What is a range?In Mathematics and Geometry, a range can be defined as the set of all real numbers that connects with the elements of a domain.
Furthermore, the horizontal extent of any graph of a function represents all domain values and they are always read and written from smaller to larger numerical values, and from the left-hand side of the graph to the right-hand side.
By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:
Domain = {-3, ∞}, x ≥ -3, or -3 ≤ x ≤ ∞.
Range = {-∞, ∞} or all real numbers.
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Consider the line y=8x-7
Find the equation of the line that is parallel to this line and passes through the point (5,-3)
Find the equation of the line that is perpendicular to this line and passes through the point (5,-3)
Answers
y - (-3) = 8(x - 5)
Simplifying this equation, we get:
y = 8x - 43
Therefore, the equation of the line that is parallel to y = 8x - 7 and passes through the point (5,-3) is y = 8x - 43.
Since the line we are looking for is perpendicular to the given line, its slope is the negative reciprocal of the slope of the given line. The slope of the given line is 8, so the slope of the line we are looking for is -1/8. Also, we know that the line passes through the point (5,-3). Using the point-slope form of a line, we can write the equation of the line as:
y - (-3) = (-1/8)(x - 5)
Simplifying this equation, we get:
y = (-1/8)x + (41/8)
Therefore, the equation of the line that is perpendicular to y = 8x - 7 and passes through the point (5,-3) is y = (-1/8)x + (41/8).
Answer:
Parallels lines:
y = 8x - 43
Perpendicular line:
y = [tex]\frac{-1}{8}[/tex]x - [tex]\frac{19}{8}[/tex]
Step-by-step explanation:
y = 8x -7
Parallel lines have the same slope.
The slope will be 8. We will use the x from the point (5,-3) and the y from the point (5,-3) to find the y-intercept (b)
y = mx + b Substitute in -3 for y, 8 for m, and 5 for x.
-3 = 8(5) + b
-3 = 40 + b Subtract 40 from both sides
-3 - 40 = 40 - 40 + b
-43 = b
Substitute in 8 for m and -43 for b to write the equation
y = mx + b
y = 8x - 43
Perpendicular slope are opposite reciprocals of each other, so the perpendicular slope is [tex]\frac{-1}{8}[/tex]
Substitute [tex]\frac{-1}{8}[/tex] doe m, -3 for y and 5 for x.
y = mx + b
-3 = [tex]\frac{-1}{8}[/tex](5) + b
-3 = [tex]\frac{-5}{8}[/tex] + b add [tex]\frac{5}{8}[/tex] from both sides
-3 + [tex]\frac{5}{8}[/tex] = [tex]\frac{-5}{8}[/tex] + [tex]\frac{5}{8}[/tex] + b
[tex]\frac{-24}{8}[/tex] + [tex]\frac{5}{8}[/tex] = b
[tex]\frac{-19}{8}[/tex] = b
Substitute [tex]\frac{-1}{8}[/tex] for m and [tex]\frac{-19}{8}[/tex] for b
y = mx + b
y = [tex]\frac{-1}{8}[/tex]x - [tex]\frac{19}{8}[/tex]
Helping in the name of Jesus.
Which function has a domain where x is not equal to 3 and a range where y is not equal to 2?
Answers
Domain where x is not equal to 3 and a range where y is not equal to 2 for function (x+5)/(x-3)
Domain = Set of all input values of a function.
range = set of all output values of a function.
Given: Domain: x≠3 ; range = y≠2
We do not include a value for domain if it makes the expression indeterminant .
Since all the functions in options are fractions, here the denominator does not equal to 0.
But in option C and D, the denominator can be zero if x=3.
So , domain for then it x ∈ R-3
for option C if 2=2(x+5)/(x-3)
x-3=x+5
-3=5 which is not possible
Where as in option D, 2=(x+5)/(x-3)
2x-6=x+5
x=11
Hence, domain where x is not equal to 3 and a range where y is not equal to 2 for function (x+5)/(x-3)
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Which function has a domain where x does not =3 and a range where y does not =2? A. f(x)=(x-5)/(x+3) B. f(x)=2(x+5)/(x+3) C. 2(x+5)/(x-3) D. (x+5)/(x-3)
Here are two similar solid shapes.
and
A
surface area of shape A: surface area of shape B = 3:4
The volume of shape B is 10 cm³
Work out the volume of shape A.
Give your answer correct to 3 significant figures.
B
Answers
Step-by-step explanation:
Let the volume of shape A be V. Since the surface area of shape A is 3/4 times that of shape B, the surface area of shape A is 3/7 times the total surface area of the two shapes combined.
Therefore, the surface area of shape A is:
3/7 (surface area of shape A + surface area of shape B) = 3/7 (4/3 surface area of shape B) = 12/21 surface area of shape B
We know that the volume of shape B is 10 cm³, and we can find the volume of shape A by using the ratio of the volumes to the ratio of the surface areas:
V/10 = 3/4
V = 7.5 cm³ (to 3 significant figures)
Therefore, the volume of shape A is 7.5 cm³.
What is the meaning of "the equation ax = b has a solution for every b ∈ H"?
Answers
In the given image, H is a non-empty set of complex numbers, a and b are complex numbers, and x is a variable.
"The equation ax = b has a solution for every b ∈ H" means that for any complex number b in the set H, there exists a complex number x such that the product of a and x is equal to b.
In other words, for every numbers of b in H, there exists a solution for x that satisfies the equation ax = b.
This statement has important implications in linear algebra and functional analysis, where it is used to define the concept of a surjective linear transformation in numbers. It also has applications in many areas of mathematics and science, including engineering, physics, and computer science.
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Thanks to an initiative to recruit top students, an administrator at a college claims that this year's entering
class must have a greater mean IQ score than that of entering classes from previous years. The
administrator tests a random sample of 17 of this year's entering students and finds that their mean IQ score
is 114, with a standard deviation of 15. The college records indicate that the mean IQ score for entering
students from previous years is 113.
Is there enough evidence to conclude, at the 0.05 level of significance, that the population mean IQ score, μ,
of this year's class is greater than that of previous years? To answer, assume that the IQ scores of this year's
entering class are approximately normally distributed.
Perform a one-tailed test. Then complete the parts below.
(If Rococcan consult a list of
Answers
Answer: The answer is B and im 100% correct
Step-by-step explanation:
I need explanation for example 8.
Thankyou
Answers
There is a probability of 94/315 that the problem will be solved.
We are given that P has a chance of solving the problem of 2/7, Q has a chance of solving the problem of 4/7, and R has a chance of solving the problem of 4/9. To find the probability that the problem is solved, we need to consider all possible scenarios in which the problem can be solved.
The probability of this scenario is 2/7. If P solves the problem, then it does not matter whether Q or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 2/7.
The probability of this scenario is 4/7. If Q solves the problem, then it does not matter whether P or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/7.
The probability of this scenario is 4/9. If R solves the problem, then it does not matter whether P or Q solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/9.
The probability of this scenario is (1-2/7) * (1-4/7) * (1-4/9) = 3/35. This is because the probability of P not solving the problem is 1-2/7, the probability of Q not solving the problem is 1-4/7, and the probability of R not solving the problem is 1-4/9. To find the probability of none of them solving the problem, we multiply these probabilities together.
To find the probability of the problem being solved, we need to add the probabilities of all the scenarios in which the problem is solved. Therefore, the probability of the problem being solved is:
2/7 + 4/7 + 4/9 = 94/315
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Circle the students error in the problem below and rewrite what correct step should be
Answers
The students error is in step 3 and the correct solution is g(x) = 2x² + 4x - 4
Circling the students errorFrom the question, we have the following parameters that can be used in our computation:
The steps to solve the expression
From step 2 to step 3, we have
g(x) = 2(x + 1)(x + 1) - 6
g(x) = 2(x² + 1x + 1) - 6
The step 3 is incorrect
Because when the expression is expanded, we have
g(x) = 2(x² + 2x + 1) - 6
This gives a solution of
g(x) = 2x² + 4x - 4
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In a normal distribution, what percentage of the data falls within 2 standard
deviations of the mean?
A. 99.7%
B. 68%
C. 34%
D. 95%
Answers
The percentage of the data that falls within 2 standard deviations of the mean is B. 68%
Calculating the percentage of dataFrom the question, we have the following parameters that can be used in our computation:
Percentage = 2 standard deviations
As a general rule:
The percentage of the data that falls within 2 standard deviations of the mean is 68%
This means that the correct option is (b) 68%
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(1 point) (a) Find a vector parametric equation for the part of the saddle = z = x y inside the cylinder 2+2=9 x 2 + y 2 = 9 .
Answers
x = r cos t
y = r sin t
z = r cos t sin t
where r is the radius of the cylinder and t is the angle of rotation around the z-axis.
Substituting the equation for z into the cylinder equation, we get:
x^2 + y^2 = 9 - z^2 = 9 - r^2 cos^2 t sin^2 t
Solving for r, we get:
r = sqrt(9 - x^2 - y^2)
Substituting r into the equation for z, we get:
z = xy = (r cos t)(r sin t) = r^2 sin t cos t
Therefore, the vector parametric equation for the part of the saddle z = xy inside the cylinder x^2 + y^2 = 9 is:
r(t) = sqrt(9 - x^2 - y^2)
x(t) = r cos t
y(t) = r sin t
z(t) = r^2 sin t cos t
where 0 <= t <= 2π.
PLEASE HELP (WILL GIVE BRAINLIEST)
Answers
Answer:d
Step-by-step explanation:
Find the multiplying integers -2x24=
Answers
The multiplying integers -2x24= -48
Multiplication of Integers:Here is some rules of multiplication of integers:
1. Positive integer × negative integer = negative.
2. Positive integers × Positive integers = positive.
3. Negative integers × Negative integers = positive.
Here, To find the the multiplying integers
-2x24 = -48
When you multiply integers :
Negative x Positive = Negative
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PLEASE HELP 50 POINTS
Answers
To check if a solution is correct for a system of equations, we substitute the values of the solution into both equations and see if they are true.
Let's assume that the solution for the system of equations is (x,y) = (1,-1).
To check if this solution is correct for the first equation y = 2x - 3, we substitute x = 1 and y = -1:
-1 = 2(1) - 3
-1 = -1
Since -1 = -1, the solution (1,-1) satisfies the first equation.
To check if this solution is correct for the second equation y = -1/2x + 2, we substitute x = 1 and y = -1:
-1 = -1/2(1) + 2
-1 = 1
Since -1 is not equal to 1, the solution (1,-1) does not satisfy the second equation.
Therefore, the solution (1,-1) is not a solution for the system of equations y = 2x - 3 and y = -1/2x + 2.
Round to the nearest whole number, then find the sum. 15.43 + 12.85 + 21.3 = ___ pls i will give 60 points!!!!!!!!!!
Answers
Answer:
15.43 + 12.85 + 21.3 = 49.58
Rounding to the nearest whole number, the sum is 50.
Step-by-step explanation:
Answer:
15.43 + 12.85 + 21.3 = 49.58
Step-by-step explanation:
Max made 2 gallons of lemonade. Which proportion can Max use to find how many quarts of lemonade he made? Responses 4 quarts1 quart =2 gallon? quarts 4 quarts1 quart =2 gallon? quarts 1 gallon4 quarts =2 gallons? quarts 1 gallon4 quarts =2 gallons? quarts 1 gallon2 quarts = 2 gallons? quarts 1 gallon2 quarts = 2 gallons? quarts 4 quarts1 gallon =2 gallon? quart
Answers
The proportion Max can use to find how many quarts of lemonade is 2 gallons divided by 4 quarts per gallon equals 8 quarts.
How to determine the proportion Max can use to find how many quarts of lemonadeMax can use the following proportion to calculate how many quarts of lemonade he made:
1 gallon equals 4 quarts
Max can calculate the number of quarts by multiplying 2 by 4 because he made 2 gallons of lemonade:
2 gallons divided by 4 quarts per gallon equals 8 quarts
As a result, Max created 8 pints of lemonade.
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PLEASE HELP ME !!! I NEED THIS TO GRADUATE
