Answer:
x^2 - 2x - 15 = 0.
Step-by-step explanation:
x^2 - 2x - 3 = 0
(x - 3)(x + 1) = 0
So alpha and beta are -1 and 3.
So the roots of the required equation are 2(-1)-1 and 2(3) - 1
= -3, 5.
So the equation is
(x - 5)(x + 3) = 0
-that is x^2 - 2x - 15 = 0
can irrational numbers also be integers/ True or False
Answer:
true
Step-by-step explanation:
You are deciding what carb you want to eat for dinner, and you decide to look at the ratio of cooking times between rice to pasta. Rice takes 20 minutes to cook, and pasta takes 12. What is the ratio of cooking times for the rice to pasta?
(Make sure your ratio is simplified for your final answer)
5 : 3 is the ratio of cooking times for the rice to pasta .
What does a math ratio mean?
When b does not equal 0, an ordered pair of numbers a and b, represented as a / b, is said to be a ratio. A percentage is an equation in which two ratios are made equal to one another.
You might express the ratio as 1: 3 for instance, if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.
Rice takes 20 minutes to cook
pasta takes 12
the ratio of cooking times for the rice to pasta = 20 : 12
= 5 : 3
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What is a definition of Domain of a function in math?
PLEASE HELP ME ASAP?!?!:(
What is the midpoint of the segment below?
14
The points A, B and C lle on a straight line.
The length of AB is equal to the length of BC
What are the coordinates of point A?
*C(5,6)
*B12, 1)
Answer:
(-1,-4)
Step-by-step explanation:
First, you take the x coordinate of C and subtract it from the x coordinate of B. 5-2=3. You then take the 3 and subtract it from the x value of point B which is 2 and 2-3=-1 which gives us the x coordinate of point A -1. then you take the Y coordinate of C and subtract it from the Y coordinate of B. 6-1=5. You then take the 5 and subtract it from the y value of point B which is 1 and 1-5=-4 which gives us the y coordinate of point A -5. And that gives you (-1,-4)
When is the boundary line of the graph of an inequality in two variables part of the solution?
The boundary line of the graph of an inequality in two variables is part of the solution when the line is a solid line
What is the meaning of inequality in math?A mathematical statement stating the relationship in terms of greater than, larger than or equal to, less than, or less than or equal to between two numbers or algebraic expressions is known as an inequality.
Inequality representation using a solid line and a dotted line
Inequality plots that use the < or > symbols features a dashed line and this shows the boundary lines are not a part of the solution.
An inequality marked with the symbol "or" such as greater than or equal to or less than or equal to is represented by a solid line boundary line and the region is included in the solution.
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I NEED HELP WITH THESE QUESTIONS
The answers to all parts is shown below.
Using Pythagoras theorem
1. (r+2)² = r² + 4²
r² + 4 + 4r = r² + 16
4r = 12
r= 3
2. (r+8)² = r² + 12²
r² + 64 + 16r = r² + 144
16r = 80
r= 5
3. (r+9)² = r² + 15²
r² + 81 + 18r = r² + 225
18r= 144
r= 8
We know the tangent drawn from external points are equal in length
1. x = 22
2. x+12 = 3x
x= 6
3. 5x-4 = 2x + 2
3x = 6
x= 3
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What is the simplified answer to 5.3. √2 ? 8√2 2/2 15√2
The simplified answer to 5.3. √2 will be 7.495.
How to calculate the value?It should be noted that we are to find the simplified answer to 5.3. √2 .
This means that we have to multiply them. This will be:
= 5.3 × ✓2
= 5.3 × 1.1414
= 7.495
Note that the options given aren't complete.
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What is the volume of a hemisphere with a diameter of 9.9 cm, rounded to the nearest tenth of a cubic centimeter?
9514 1404 393
Answer:
254.0 cm³
Step-by-step explanation:
The formula for the volume of a sphere in terms of its radius is ...
V = (4/3)πr³
Then the formula for the volume of a hemisphere in terms of its diameter is ...
V = (1/2)(4/3)π(d/2)³ = (π/12)d³
The volume of the hemisphere is ...
V = (π/12)(9.9 cm)³ ≈ 254.024 cm³
The volume is about 254.0 cm³.
11. A car can travel 90 miles on 3 gallons of gasoline. How far can it travel on 13 gallons?
Answer:
390 miles
Step-by-step explanation:
90/3 = 30
30x13 = 390
Which statement is true about the quadratic equation 8x2 − 5x + 3 = 0? The constant term is 8.
Answer:
false
Step-by-step explanation:
the constant term is 3 not 8
hope this helps
Find the unit rate. If neceary, round your anwer to the nearet hundredth. $7. 39 for 4 pint
The unit rate is 1.85 uints per dollar, which means for every dollar spent, 1.85 uints are received.
To find the unit rate, we need to divide the total number of pints (4) by the total cost ($7.39). This will give us the number of pints per unit of currency, which in this case is dollars.We divide the total number of pints (4) by the total cost
($7.39). 4 ÷ 7.39 = 0.5425
We can then multiply this number by 100 to find the unit rate in percent. 0.5425 x 100 = 54.25%
To convert this to a unit rate in pints per dollar, we can divide 1 by the unit rate in percent.
1 ÷ 54.25% = 1.85 pints per dollar.
Therefore, the unit rate is 1.85 pints per dollar, which means for every dollar spent, 1.85 pints are received.
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a holiday ornament in the shape of a square pyramid has the following dimensions: 2.75 x 2.75 x 2.75 in. what is the approximate volume of the ornament? round your answer to the nearest hundredth
The volume of a square pyramid is given by the formula: V = (1/3) * b^2 * h
where b is the base length and h is the height.
In this case, the base is a square with sides of length 2.75 inches, so the base area is:
b^2 = 2.75^2 = 7.5625 square inches
The height of the pyramid is also 2.75 inches.
Therefore, the volume of the ornament is:
V = (1/3) * 7.5625 * 2.75 = 6.5391 cubic inches
Rounding to the nearest hundredth, the approximate volume of the ornament is:
V ≈ 6.54 cubic inches
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Answer first for brainliest
OK !!!!!!!!!!!!!!!!!!!!!
Cost of meal at Olive Garden: $45.71
Tip: 15%
What is the new cost?
$52.57
$6.86
$38.85
$51.84
Please help I literally suck at math:(!
Answer:
$52.57
Step-by-step explanation:
Answer:
$52.57
Step-by-step explanation:
15% of $45.71 is $6.86
45.71+6.86=52.57
Jame has six stamps in his stamp collection Roy has 12 stamps on his collection Jame adds two stamps to the collection after James these stamps what is the ratio of stamps and James collection to the stamps and Roy's collection
Given :
Jame has six stamps in his stamp collection Roy has 12 stamps on his collection Jame adds two stamps to the collection.
To Find :
The ratio of stamps of James's and Roy's collection.
Solution :
Number of stamps in Jame's collection, n = 6 + 2 = 8.
Let, ratio of their stamp is R.
\(R = \dfrac{\text{Number of stamps James have}}{\text{Number of stamps Roy have}}\\\\R = \dfrac{8}{12}\\\\R = \dfrac{2}{3}\)
Therefore, the ratio of their stamps is 2 : 3 .
Solve for X: x/7=x-5/5
suppose and are two discrete random variables. let be the joint probability mass function, the marginal distribution for x, and the marginal distribution for y, respectively.
Suppose X and Y are two discrete random variables. Let p(x, y), Px (s), py (y) be the joint probability mass function, the marginal distribution for X, and the marginal distribution for Y, respectively. Which of the following are true: P(X = 5 and Y = 8) = p (5,8) = = If p(5,8) If P (5,8) = px (5) py (8) then X and Y are independent random variables. We must have p(x,y) = px (2) py(y) for all pairs (x,y) ∑x Px(x) = 1, the sum over all values of X.
The expression in the question P(X = 5 and Y = 8) = p (5,8), p(5,8) = px(5) py(8) and ∑x Px(x) = 1, are true regarding the given random variables X and Y with marginal distribution x and the marginal distribution y respectively.
1. P(X = 5 and Y = 8) = p(5,8): This statement is true, as the joint probability mass function p(x, y) represents the probability that the random variable X takes the value x and Y takes the value y simultaneously.
Therefore, P(X = 5 and Y = 8) is represented by p(5,8).
2. If p(5,8) = px(5) py(8), then X and Y are independent random variables:
This statement is true if and only if the given condition holds for all pairs (x, y). If p(x, y) = px(x) py(y) for all pairs (x, y), then X and Y are independent random variables. Independence means that the occurrence of one random variable does not influence the probability of the other.
3. ∑x Px(x) = 1, the sum over all values of X:
This statement is true, as it represents the property of the marginal distribution of a random variable. The sum of the probabilities of all possible outcomes for a random variable (in this case, X) should equal 1.
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What is the sum?
3x
X - 4
X-3
+
2x
7x2 + 7 x + 12
2X(X - 4)
6x4 - 7x + 12
2 x(x - 4)
7x2 - 7x + 12
2 x(x - 4)
6x4 + 7 x + 12
2X(X - 4)
Answer:
it's the third one.......
will give brainliest if answered *correctly** picture attached
Which relationships have the same constant of proportionality between yyy and xxx as the following graph?
Choose 3 answers:
Choose 3 answers:
(Choice A)
A
y=0.25xy=0.25xy, equals, 0, point, 25, x
(Choice B)
B
y=8.2xy=8.2xy, equals, 8, point, 2, x
(Choice C)
C
(Choice D)
D
xxx yyy
333 121212
444 161616
555 202020
(Choice E)
E
xxx yyy
666 1.51.51, point, 5
777 1.751.751, point, 75
888 222
Answer:
A, C, E
Step-by-step explanation:
The required relation whose constant of proportionality matches with the constant of proportionality given in the graph.
Given that,
A curve is shown in the graph, it is to be determined that the constant of proportionality of the curve matches one of the curves given in the options.
Proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense that are they directly proportional or inversely proportional to each other.
Here,
Constant of proportionality for the given function,
y/x = 2 / 8 = 0.25
Since the constant of proportionality of the functions mentioned in Option A, C and E matched with the given graph.
Thus, the required relation whose constant of proportionality matches the constant of proportionality is given in the graph.
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A group of researchers has studied the effect of a new cognitive therapy and the number
of pain attacks in a group of 13 patients. They want to know about the new one
therapy reduces the number of seizures better than placebo. Their data is not
normally distributed. Test using a Wilcoxon’s signed rank test to see if there is evidence to
conclude that the new therapy has a statistically significant effect.
New therapy 5 6 4 8 4 12 1 13 4 6 2 56 6 Placebo 13 5262 2 15 5 5 1 14 12 7 10
The Wilcoxon signed-rank test is employed to see if there is a substantial difference between two related samples. Here the new cognitive therapy group and placebo group are related samples as they both belong to the same sample of cognitive therapy's study. The Wilcoxon signed-rank test is performed on the rank-based data as the data is not normally distributed. Following is the calculation for Wilcoxon’s signed rank test:The null hypothesis for the Wilcoxon signed-rank test is that there is no difference between the new cognitive therapy and placebo treatments. While the alternative hypothesis is that there is a difference between the two treatments.
The Wilcoxon signed-rank test is performed as follows:
Rank all the data, with the lowest value being ranked 1 and the highest value being ranked 12.
Calculate the difference between the new cognitive therapy and placebo group scores.
Take the absolute values of the differences.
Rank the differences in ascending order and ignore the signs.
Calculate the sum of the ranks of the new cognitive therapy group.
Calculate the test statistic T.
For this dataset, the calculations of the Wilcoxon signed-rank test are as follows:
Data Ranked (New therapy) Difference Absolute Difference Ranked Differences + Rank Therapy Differences - Rank Placebo 5 1 4 3 4 4 6 2 4 4 2 2 4 4 8 7 1 1 1 12 10 2 2 3 5 1 6 13 12 1 8 7 7 4 4 1 5 5 5 1 14 13 1 2 1 15 7 8 7 7 5 9 10 3 5 8 56 12 44 12 12 11 7 Total 49
Calculating T:
\($$T =\) \(\frac{Total\ of\ positive\ ranks - \frac{n(n+1)}{4}}{\sqrt{\frac{n(n+1)(2n+1)}{24}}}$$\)
Here, n is the number of pairs, which is 12.
T = 3.52
Using the Wilcoxon signed-rank test table, the critical value at the 0.05 level for n = 12 is 18.
Since T (3.52) is less than the critical value (18), the null hypothesis cannot be rejected.
There is no evidence to suggest that there is a difference between the new cognitive therapy and placebo treatments.
May I please get help i really dont understand, and would like some help
Please and thank you!
Answer:
8 days
Step-by-step explanation:
Every day, 1.26 stock is returned. You want to find the number of days until it reaches 10.08, so create an equation. x represents days.
1.26 * x = 10.08
x = 8
At Florida A&M University, the ratio of students from Florida to students not from Florida is about `3\ :\ 1`.
How many of its `12000` students are from Florida?
Based on the information given, the number of students from Florida will be; 9000 students.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that At Florida A&M University, the ratio of students from Florida to students not from Florida is about 3 : 1
The Total number of students = 12000
Fraction from Florida = 3/4
Fraction of students not from Florida = 1/4
Therefore, the students from Florida will be:
= 3/4 × 12000
= 9000
Hence, the number of students from Florida is 9000.
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A newsletter publisher believes that above 32% of their readers own a personal computer. Is there sufficient evidence at the 0.05 level to substantiate the publisher's claim
There is insufficient evidence to substantiate the publisher's claim at the 0.05 level of significance.
How to determine if there is sufficient evidence to substantiate the publisher's claim?To determine if there is sufficient evidence to substantiate the publisher's claim, we need to conduct a hypothesis test.
Let's assume the null hypothesis is that the proportion of readers who own a personal computer is equal to 0.32.
The alternative hypothesis is that the proportion is greater than 0.32.
We can use a one-tailed z-test for proportions to test the hypothesis.
At the 0.05 level of significance, the critical z-value for a one-tailed test is 1.645.
If our calculated z-value is greater than 1.645, we reject the null hypothesis and conclude that there is sufficient evidence to support the publisher's claim.
Assuming we take a random sample of readers and find that 350 out of 1000 readers own a personal computer, the calculated z-value can be computed as:
\(z = (p - P) / \sqrt( P(1-P) / n )\)
where
p = sample proportion = 350/1000 = 0.35
P = hypothesized proportion = 0.32
n = sample size = 1000
z = (0.35 - 0.32) / sqrt( 0.32 * 0.68 / 1000 )
z = 1.42
Since the calculated z-value (1.42) is less than the critical z-value (1.645), we fail to reject the null hypothesis.
Therefore, there is insufficient evidence to substantiate the publisher's claim at the 0.05 level of significance.
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If 33% of a man monthly salary is Birr of 6600, what is his total monthly salary? A. 23,200 B. 20,000 C. 9,850 D. 16,450
Answer:
The correct answer is B. 20,000
Step-by-step explanation:
To determine the man's total monthly salary, we can set up a simple equation using the given information. Let's denote the total monthly salary as "x."
According to the information provided, 33% of the man's monthly salary is equal to Birr 6600. We can express this relationship mathematically as:
0.33x = 6600
To solve for "x," we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.33:
x = 6600 / 0.33
Evaluating the right side of the equation gives:
x ≈ 20,000
Therefore, the man's total monthly salary is approximately Birr 20,000.
Hence, the correct answer is B. 20,000.
is the following statement true? prove your answer. if x is a non-zero rational number and y is an irrational number, then y/x is irrational.
If x is a non-zero rational number and y is an irrational number, then y/x is irrational: TRUE
Assume that y/x is rational.
This means that we can write y/x as a fraction in the form a/b, where a and b are integers and b is non-zero.
y/x = a/b
Multiplying both sides by x, we get:
y = ax/b
Since x is a rational number, it can be expressed as a fraction in the form c/d, where c and d are integers and d is non-zero.
x = c/d
Substituting x with c/d in the above equation, we get:
y = ac/bd
Now, we have expressed y as a fraction, which contradicts the given fact that y is an irrational number. Hence, our assumption that y/x is rational must be false.
Therefore, y/x is irrational.
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4.5:2.25 in n:1 how would i solve this
The required ratio is 2:1.
We have given that,
4.5:2.25
Since we have given that
We need to find the ratio in the form of n:1.
What is the ratio?
A ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six. Similarly, the ratio of lemons to oranges is 6:8 and the ratio of oranges to the total amount of fruit is 8:14.
so, it becomes,
\(=\frac{4.5}{2.25}:1\\\\=2:1\)
Hence, the required ratio is 2:1.
Express the ratio in the simple form
4.5:3 1/2.
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Compute the following arithmetic problems in Z/8. Represent your answer with the least positive representative of the appropriate equivalence class (a) [3] + [4] 7 ] (b) [2] . ([2] + [7]) 2 ]] (c) ([6] + [5]). ([3] + [7])
The answers to the given arithmetic problems are- (a) [3] + [4] 7 ] = 7, (b) [2] . ([2] + [7]) 2 ]] = 4, and (c) ([6] + [5]). ([3] + [7]) = 110.
Here, we are given three equations as follows, let us solve them one by one-
a. [ [3] + [4] 7 ]
Here [z] = remainder when z is divided by 8
Thus, [4] = 4
⇒ [ [3] + 4*7 ]
= [ 3 + 28 ]
= [ 31 ]
= 7
b. [ [2] . ([2] + [7]) 2 ]
= [ 2 . (2 + 7) 2 ]
= [ 2*9*2 ]
= [ 36 ]
= 4
c. ([6] + [5]). ([3] + [7])
= (6 + 5). (3 + 7)
= 11*10
= 110
The answers to the given arithmetic problems are- (a) [3] + [4] 7 ] = 7, (b) [2] . ([2] + [7]) 2 ]] = 4, and (c) ([6] + [5]). ([3] + [7]) = 110.
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The paragraph below comes from the rental agreement Susan signed when she opened her account at Super Video.
“All rentals are due back by midnight of the due date as printed on the transaction receipt. Any rental not received by midnight on the day it is due is subject to a late charge of $1.50 for each day it is late. Any rental not returned by the fifth day after the due date will be transferred to a sale. The Customer will then be required to pay the purchase price of the item in addition to five (5) days of late fees. The Customer will not be required to return the product once the total balance is paid.”
Both of Susan’s movies are three days late. According to her receipt, the purchase price of one of her movies is $12.00 while the purchase price for the other movie is $15.00. If she turns both of them in today, how much will Susan owe Super Video?
A) $4.50
B) $9.00
C) $27.00
D)$38.00
Answer:
$9
Step-by-step explanation:
(2 movies returned late)
3 days late
$1.50 per day late fee
equaling $4.50 per movie
TOTALING $9
TOTALING $9.00
Answer:
B) $9.00Step-by-step explanation:
Since its less than 5 days, Susan will have to pay only late charge fee for two movies for 3 days.
The amount to be paid:
3*2*$1.5 = $9Correct choice is B
I need some help please
Answer:
x+2
hope this helps ;)
and cute pfp
Answer:
Step-by-step explanation:
x-1, because 3 fits the criteria, x>=1