Answers
x= 7 and x=11 are two solutions of equation x²+7x-11=0
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is x²+7x-11=0
x square plus seven times of x minus eleven
Add 11 on both sides
x²+7x=11
x(x+7)=11
x=11
and x+7=11
Now subtract 7 on both sides
x=7
Hence, x= 7 and x=11 are two solutions of equation x²+7x-11=0.
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Related Questions
taxes: the internal revenue service reports that the mean federal income tax paid in the year 2010 was $8040. assume that the standard deviation is $5000. the irs plans to draw a sample of 1000 tax returns to study the effect of a new tax law. part: 0 / 50 of 5 parts complete part 1 of 5 (a) what is the probability that the sample mean tax is less than $7900? round the answer to at least four decimal places. the probability that the sample mean tax is less than $7900 is .
Answers
The probability for sample mean tax is less than $7,900 is 0.1894.
How to calculate the probability?
μ = population mean = 8,040
σ = standard deviation = 5,000
n = amount of sample = 1,000
[tex]\bar x[/tex] = sample mean = 7,900
The probability for sample mean tax can be calculated using z test formula.
P(x < 7,900) = P(z < [tex]\frac{\bar x - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex] )
= P(z < [tex]\frac{7,900 - 8,040}{\frac{5,000}{\sqrt{1,000}}}[/tex])
= P(z < [tex]\frac{-140}{\frac{5,000}{31.622}}[/tex])
= P(z < -0.88)
Using z table for P(z < -0.88). So,
= 0.1894
Thus, the probability is 0.1894 for sample tax mean is less than $7,900.
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Point O is the incenter of triangle A B C. Lines are drawn from the points of the triangle to point O. Lines are drawn from point O to the sides of the triangle to form right angles and line segments O Q, O R, and O S. Angle O B C is 15 degrees. Angle O C R is 30 degrees.
What is mAngleQOB?
a. 30°
b. 60°
c. 75°
d. 90°
Answers
The measure of angle QOB is 75°.
What is right angle?
90 degrees is the angle of a right.
The right angle is created when two straight lines cross at a 90° angle or when they are perpendicular at the intersection. The symbol stands for a right angle.
Given:
Point O is the incenter of triangle ABC.
Lines are drawn from the points of the triangle to point O.
Lines are drawn from point O to the sides of the triangle to form right angles and line segments OQ, OR, and OS.
Angle OBC is 15 degrees. Angle OCR is 30 degrees.
OBC= 15
OCR =30
In OBQ
OBQ + QOB + OQB = 180
OBQ= OBC=15
OQB= 90
So,
QOB = 180- OBQ- OQB
= 180-15 -90
= 75
Hence, the measure of angle QOB is 75°.
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in preparation, you identify all possible outcomes and the probability of each outcome. which approach to negotiation are you using? game theory individual differences cognitive approach situational characteristics
Answers
By identifying all possible outcomes and the probability of each outcome the negotiation used here is Game theory.
The study of mathematical models of strategic interactions between rational beings is known as game theory and it has uses in computer science, logic, systems science, and all branches of social science.
The most well-known application of game theory is The Prisoner's Dilemma for instance take two offenders who were detained following an arrest as an example. The prosecution lacks concrete proof to prove their guilt. Officials, however, take the inmates out of their isolation cells and question each one separately in order to extract a confession.
The area of mathematics known as "game theory" is concerned with the analysis of such games. Classical game theory and combinatorial game theory are the two primary subfields of game theory. Traditional game theory examines games where participants can move, wager, or strategize all at once.
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Apply the ditributive property to factor out the greatet common factor. 60 − 40 y =
Answers
The factors by applying distributive property out the greatest common factor is 20(3 - 2y).
Define the term greatest common factor?The largest of these shared factors is the greatest common factor of the two integers.For the stated equation;
= 60 − 40 y
Do the prime factorization of the both numbers-
60 = 2×2×3×5
40 = 2×2×2×5
Thus, the greatest common factor from both numbers is-
2×2×5 = 20
Taking 20 common from both terms in equation-
Using distribute property;
= 20(3 - 2y)
Thus, factors by applying distributive property out the greatest common factor is 20(3 - 2y).
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what was the major flaw in the stanford prison experiment? group of answer choices zimbardo did not use a control group. the respondents wanted to leave, but zimbardo would not let them. the students were not randomly assigned. the study went on too long.
Answers
The answer is (a) Zimbardo did not use a control group.
The stanford prison experiment was a two week simulation of a prison environment that examined the effect of situational variables on participants reactions and behaviors.
The Stanford prison experiment, one of the most famous and compelling psychological studies of all time.
The major flaw in the research design of the Stanford prison experiment was that the Zimbardo did not use a control group.
A control group is used to establish a cause-and-effect relationship by isolating the effect of an independent variable. A control group was necessary to study a particular variable in prison. He had no alternative group to compare to measure the results of the experiment.
A control group in an experiment does not receive the treatment. Instead, it serves as a comparison group for the treatments.
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melissa makes bracelets at a constant rate. she spends 45 minutes making 25 bracelets. which equation describes the relationship between the time in minutes she spends making bracelets, t, and the total number of bracelets she makes, n?
Answers
Answer:09.8990
Step-by-step explanation: take one and add
A florist has 72 red roses and 40 white roses. If the florist creates the greatest number of identical bouquets possible with a combination of red and white roses without any roses leftover, how many white roses are in each bouquet?.
Answers
The number of white roses left in each bouquet is 5.
Explain the term Greatest Common Factor?A group of numbers' greatest common factor (GCF) is the biggest factor that almost all numbers have in common. The biggest number it is a factor for two or more integers is known as the GCF.You must identify the most prevalent common factor for this task (GCF).
The actions are:
1. Divide the supplied numbers into prime factors.2. Select the usual ones, then multiply them.The florist's stock of 72 red roses with 40 white roses reveals what the most common factor is, which is:
72 = 2×2×2×3×3 = 2³×3²
40 = 2×2×2×5 = 2³×5
GCF = 2³
Divide this number of white roses in the first bouquet (40 roses) first by Greatest Common Factor to get how many white roses are in each arrangement.
The result is:
= 40 white roses / 8
= 5 white roses
Thus, number of white roses left in each bouquet is 5.
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Mr. Wright is investing $1 million. He has options with Bank of Munich, Coralbank, and Lone Star Credit Union.
Bank of Munich is willing to pay him an interest rate of 2% on up to $250,000 of his money, and 1.25% on everything beyond that point.
Coralbank is providing him an interest rate of 3% on the first $500,000 he invests with them and 1% on whatever else he invests beyond that point.
Lone Star Credit Union is offering an interest rate of 1.75% on all funds invested with them.
Mr. Wright plans to leave whatever funds he invests in the account for 15 years.
ROUND ALL ANSWERS TO THE NEAREST TEN THOUSAND AND DO NOT USE COMMAS IN YOUR RESPONSE.
How much money should Mr. Wright expect to have after 15 years if he invests all of his funds with Coralbank?
How much money would he have if he invests everything with Bank of Munich for the full 15 years?
If he plans carefully and invests his funds to gain the maximum amount of interest across all three institutions, how much money will he have in each bank
after 15 years?
Bank of Munich:
Coralbank
Lone Star Credit Union:
Answers
In Coralbank $ 1,359,468.19 and In Bank of Munich $ 1,240,088.97
What is Interest?The fee you pay to borrow money or the fee you charge to lend money is called interest. The most common way to represent interest is as a yearly percentage of the loan amount. The interest rate on the loan is known as this percentage.
Given:
Coralbank is providing him an interest rate of 3% on the first $500,000 he invests with them and 1% on whatever else he invests beyond that point.
So, After 15 years
First, convert R as a percent to r as a decimal
r = R/100
r = 3/100
r = 0.03 rate per year,
Then solve the equation for A
A = P[tex](1 + r/n)^{nt[/tex]
A = 500,000.00[tex](1 + 0.03/1)^{(1)(15)[/tex]
A = 500,000.00[tex](1 + 0.03)^{(15)[/tex]
A = $778,983.71
and, for Another $500,000
A = P[tex](1 + r/n)^{nt[/tex]
A = 500,000.00 [tex](1 + 0.00/1)^{(1)(15)[/tex]
A = 500,000.00 [tex](1 + 0.01/1)^{(1)(15)[/tex]
A = $580,484.48
Total he Invests= $ 1,359,468.19
and, Bank of Munich is willing to pay him an interest rate of 2% on up to $250,000 of his money, and 1.25% on everything beyond that point.
Then solve the equation for A
r = R/100
r = 2/100
r = 0.02 rate per year,
Then solve the equation for A
A = P[tex](1 + r/n)^{nt[/tex]
A = 250,000.00[tex](1 + 0.02/1)^{(1)(15)[/tex]
A = 250,000.00 [tex](1 + 0.02)^{(15)[/tex]
A = $336,467.08
and, for Another $750,000 .
A = P[tex](1 + r/n)^{nt[/tex]
A = 750,000.00[tex](1 + 0.0125/1)^{(1)(15)[/tex]
A = 750,000.00 [tex](1 + 0.0125)^{(15)[/tex]
A = $903,621.89
Total he Invests= $ 1,240,088.97
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if someone tossed a fair coin in the air three times and it came up heads all three times, what is the likelihood that it will come up heads on the fourth try?
Answers
The probability that the coin will come up heads on the fourth try is 1/2.
Given,
If a fair coin were tossed three times and each time it landed on its head.
We have to find the probability that it will come up heads on the fourth try;
Here,
Coming up short in the first three of four attempts.
The probability will not depend on the first three occurrences in the fourth try.
Consequently, the likelihood of winning the fourth time will be as follows:
Desired outputs as a percentage of overall output
=> 1 / 2
Hence,
The probability of the coming head in the fourth time is 1/2 because the coming head in the fourth time is independent of the coming head in the first three times.
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does someone know this?
Answers
Multipluy the equations i think...
Solve each inequality. Use the number line provided to test intervals.
Thank you!! :)
Answers
Answer:
[-2, 2/5] ∪ [2, ∞)
Step-by-step explanation:
You want the solution to the inequality 7x³ -20x +11 ≥ 2x³ +2x² +3.
FactorsThe inequality can be rewritten to a comparison with zero by subtracting the right-side expression.
7x³ -20x +11 -(2x³ +2x² +3) ≥ 0
5x³ -2x² -20x +8 ≥ 0 . . . . . . . simplify
x²(5x -2) -4(5x -2) ≥ 0 . . . . . . factor pairs of terms
(x² -4)(5x -2) ≥ 0 . . . . . . . . . . remove common factor
(x -2)(5x -2)(x +2) ≥ 0 . . . . . factor difference of squares
IntervalsThe values of x that make this product equal to zero are
x -2 = 0 ⇒ x = 2
5x -2 = 0 ⇒ x = 2/5
x +2 = 0 ⇒ x = -2
These x-intercepts divide the domain into 4 intervals where we need to check the sign.
From left to right:
(-∞, -2)
Using x = -3, we find the product to be ...
(-3 -2)(5(-3) -2)(-3 +2) = (-5)(-17)(-1) = -85, less than 0
[-2, 2/5]
Using x = 0, we find the product to be ...
(0 -2)(5·0 -2)(0 +2) = (-2)(-2)(2) = 8, part of the solution
(2/5, 2)
Using x = 1, we find the product to be ...
(1 -2)(5·1 -2)(1 +2) = (-1)(3)(3) = -9, less than 0
[2, ∞)
Using x = 3, we find the product to be ...
(3 -2)(5·3 -2)(3 +2) = (1)(13)(5) = 65, part of the solution
The solution to the inequality is [-2, 2/5] ∪ [2, ∞).
__
Additional comment
The function we're comparing to zero is a cubic with a positive leading coefficient. That means the general shape of its graph is /, negative on the left and positive on the right.
The graph changes sign at each of the zeros, so we already know the curve is positive between the left two x-intercepts, and to the right of the rightmost x-intercept. We just need to define the intervals so the zeros themselves are included in the solution set.
78. the probability that a marksman will hit a target each time he shoots is 0.89. if he fires 15 times, what is the probability that he hits the target at most 13 times?
Answers
The probability that the marksman will hit the target 13 times is 0.279.
Here, we are given that the probability that a marksman will hit a target each time he shoots is 0.89.
Thus, the probability that he will not hit the target = 1 - 0.89 = 0.11
Here, we can use the concept of binomial distribution to find the probability.
There are a total number of 15 trials, thus, n = 15
Success ⇒ marksman hits the target
Probability of success ⇒ p = 0.89
Failure ⇒ marksman fails to hit the target
Probability of failure ⇒ q = 0.11
Number of successful outcomes required ⇒ x = 13
Now, according to the formula for calculating binomial probability-
P(x) = [tex]nCx *p^{x} *q^{n-x}[/tex]
P(x) = [tex]15!/(13!*2!) *(0.89)^{13} *(0.11)^{2}[/tex]
P(x) = (15*14/2) (0.2198) (0.0121)
P(x) = 105* 0.0026
P(x) = 0.279
Thus, the probability that the marksman will hit the target 13 times is 0.279.
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Help solve the proportion
Answers
Answer: 9
Step-by-step explanation:
Which graph matches the following system of equations?
Answers
Joey is considering two bowling membership plans. The plans are detailed here. Plan 1: $30 for a monthly pass and a $3 fee for each bowling visit Plan 2: $10 for each bowling visit Select the equation for Plan 1.
y = -10
y = 10x
y = 30x +3
3x+30
Answers
Answer:
This equation represents Plan 1, since it shows that the cost to join the plan is $30 and the cost for each bowling visit is $3.
Step-by-step explanation:
Answer: 3x + 30
Step-by-step explanation: the $3 fee depends on how many times joey goes bowling so it will be 3x + the flat $30 per month
Triangle ABCis transformed with the center of dilation at the origin.
Pre-image: △ABC with vertices A(−3, 4), B(−1, 12), C(4, −2)
Image: △A′B′C′with vertices A′(−0.6, 0.8), B′(−0.2, 2.4), C′(0.8, −0.4)
What is the scale factor of the dilation that maps the pre-image to the image?
Enter your answer in the box.
Answers
Answer:
take any point on the triangle and any point on the image: for now let's take point A(-3,4) A`(-0.6
Step-by-step explanation:
sf =3/4
scale factor=5
Describe and correct the error in solving the equation for x.
Answers
[tex]\frac{10 +3b}{a} =x[/tex]
Step-by-step explanation:By manipulating equations, we can solve for different variables.
Error
The error in the equation is in the factoring. In the second line, the x is factored out of the expression; however, this cannot be factored. Factoring is like dividing. When you factor x out you divide the terms by x. Since there is not an x in 3b, x cannot be factored out.
A correct version of factoring looks like:
ax - 3bx + 2cx = x (a - 3b + 2c)Correction
Now, we can go back to the beginning and solve for x correctly using the properties of equality. First, rewrite the equation.
10 = ax - 3bThen, add 3b to both sides.
10 + 3b = axFinally, divide by a.
[tex]\frac{10 +3b}{a} =x[/tex]This is the final, correct equation solved for x.
a rancher has 80 feet of fencing with which to enclose two adjacent rectangular corrals (see figure). what dimensions should be used so that the enclosed area will be a maximum?
Answers
If a rancher has 80 feet of fencing with which to enclose two adjacent rectangular corrals, then for the maximum area the dimensions will be 10 feet and 40/3 feet
From the given figure
4x + 3y = 80 feet
3y = 80 - 4x
y = (80 - 4x) / 3
The area of the rectangle
A = length × width
A = 2x × y
= 2x × (80 - 4x) / 3
Apply distributive property
= (160/3)x - (8/3)x^2
For the maximum area differentiate the values
0 = 160/3 - 16/3x
16/3x = 160/3
x = 160/3 ÷ 16/3
x = 160/3 × 3/16
x = 10 feet
The value of y = (80 - 4x) / 3
y = (80 - 4(10))/3
y = (80-40) / 3
y = 40/3 feet
Therefore, the dimensions are 10 feet and 40/3 feet
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the teacher orders tights for the dance class. She buys as many tights as there are students. What equation can solve the amount of tights needed.
Answers
The equation that can be solve to know the amount of tights needed is c = 20p.
What equation can solve the amount of tights needed?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
Since the teacher orders 20 tights for the dance class and she buys as many as p tights as there are students.
The equation will be illustrated thus:
Let total amount be c
c = 20 × p
c = 20p
The equation is c = 20p.
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Complete question
A teacher orders 20 tights for the dance class. She buys as many as p tights as there are students. What equation can solve the amount of tights needed?
Multiply: (9x + 8) (3x² + x − 1)
O 27x³ + 9x² - 8
O 27x³ + 33x² + 17x + 8
O 3x² + 10x + 7
O 27x³ +33x² - x - 8
Answers
Answer:
[tex]\textsf{D)} \quad 27x^3+33x^2-x -8[/tex]
Step-by-step explanation:
Given expression:
[tex](9x+8)(3x^2+x-1)[/tex]
Distribute the parentheses:
[tex]\implies 9x \cdot 3x^2+9x \cdot x+ 9x \cdot (-1) + 8 \cdot 3x^2 + 8 \cdot x +8 \cdot(-1)[/tex]
Simplify:
[tex]\implies 27x^3+9x^2-9x + 24x^2 + 8x -8[/tex]
Collect like terms:
[tex]\implies 27x^3+9x^2+ 24x^2-9x + 8x -8[/tex]
Combine like terms:
[tex]\implies 27x^3+33x^2-x -8[/tex]
6.
2x + 5y = -7
7x + y = -8
Answers
Answer:
(- 1, - 1 )
Step-by-step explanation:
2x + 5y = - 7 → (1)
7x + y = - 8 → (2)
multiplying (2) by - 5 and adding to (1) will eliminate y
- 35x - 5y = 40 → (3)
add (1) and (3) term by term to eliminate y
(- 35x + 2y) + (5y - 5y) = - 7 + 40
- 33x + 0 = 33
- 33x = 33 ( divide both sides by - 33 )
x = - 1
substitute x = - 1 into either of the 2 equations and solve for y
substituting into (1)
2(- 1) + 5y = - 7
- 2 + 5y = - 7 ( add 2 to both sides )
5y = - 5 ( divide both sides by 5 )
y = - 1
solution is (- 1, - 1 )
If I buy a new video game set that is originally $40, how much will I save if they are 40% off?
Answers
Answer: $16 dollars
Step-by-step explanation: 40% of 40 is 16 so you save $16. Game would now cost $24.
Please help me I give points
Answers
Answer:
17 degrees
Step-by-step explanation:
<ABD = 25. We know that ABD has a right triangle included. Therefore we know that 25 + 90 + <A = 180.
Therefore 115 + <A = 180.
<A = 65 degrees.
This means that part of <A = 65 degrees. The other part of <A is 44 degrees, add the two to find the whole of angle A.
65 + 44 = 109.
Angle CAD would be congruent to angle C due to alternate interior angles. meaning <C is 44 degrees. Since the angles in a triangle add up to 180 you can write the equation:
109 + 44 + <B = 180.
Combine the like terms.
163 + <B = 180.
Subtract to find angle B.
<B = 17
What is the circumference in terms of pi for a circle with a area 81?
Answers
Answer:
C≈31.9
Step-by-step explanation:
The regular price of a sweater is $32. For a sale, the price of the sweater is marked down 30%. What is the sale price of the sweater?
Answers
Answer: $22.40
Step-by-step explanation:
30% of 32, or 0.3(32) is equal to 9.6. Then you have to subtract that amount, which is 32 - 9.6, which then gets us to 22.40.
convert 6 yards 5 feet to inches
(conversion factors) 12 inches = 1 foot; 3 feet + 1 yard
NEED HELP ASAP PLEASE
Answers
1 yard-36 inches
5*12=60
6*36=216
60+216=276
Answer:
276 inches
Step-by-step explanation:
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how many ways are there for eight men and five women to stand in a line so that no tow women stand right next to each other
Answers
In 609638400 ways eight men and five women can stand in a line so that no two women stand next to each other.
What is meant by Permutation?An arrangement of items in a specific order is referred to as a permutation. Here, the components of sets are organized in a linear or sequential manner. The permutation of the set A=1,6 is 2, for instance, 1,6, and 6,1. There is no alternative way to organize the components of set A, as you can see.
In contrast to combination, where the order of the parts is irrelevant, permutation calls for a specific arrangement of the elements in many ways.
We genuinely wonder how the timetables of trains, buses, and airlines are set up in accordance with the convenience of the general population. Of course, the permutation is quite useful in planning the departure and arrival timetables for these.
How to solve?
For 8 men in a line: 8! = 40320
In order to separate 2 women, we have to choose 5 out of 9
C(9,5) = 9! / 5!4! = 126
Random place 5 women in the 5 chosen places: 5! = 120
Total ways= 40320 * 126 * 120 = 609638400
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Assume that the height of your cylinder is 6 inches. Consider A as a function of r, so we can write that as A(r)=2πr2+12πr. What is the domain of A(r)? In other words, for which values of r is A(r) defined?
Answers
Can 'r' be 0? No, because a cylinder wouldn't exist otherwise. Because a radius on Earth cannot be endlessly vast, the highest limit would be constrained. But it is hard to say what is excessive, so I'd probably just say that the domain is r > 0.
What do you mean by a domain?
The set of values that can be plugged into a function's domain are called its parameters. The x values for a function like f are contained in this set. The collection of values that the function assumes is known as its range. Following the insertion of an x value, the function outputs this set of values. The domains of f(x)=x2 and g(x)=1/x, respectively, are all real numbers with the exception of x=0.
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Given are five observations collected in a regression study on two variables.
xi 2 6 9 13 20
yi 7 18 9 26 23
(a) Compute b0 and b1 (to 1 decimal).
b1
b0
(b) Complete the estimated regression equation (to 1 decimal).
Y^ =_ + _ x
(c) Use the estimated regression equation to predict the value of y when x = 6 (to 1 decimal).
Y^ = _?
Answers
a) The coefficients of the regression equation are given as follows:
b1 = 0.9. b0 = 7.6.b) The regression equation is defined as follows: y = 0.9x + 7.6.
c) The estimate of y when x = 6 is given as follows: y = 13.
How to obtain the regression equation?The slope-intercept definition of the regression equation is given as follows:
y = b1x + b0.
In which the parameters are given as follows:
b1 is the slope.b0 is the intercept.The points from the table in this problem are given as follows:
(2,7), (6, 18), (9,9), (13, 26), (20,23).
Inserting these points into a linear regression calculator, the equation is given as follows:
y = 0.9x + 7.6.
Then the estimate of the value of y when x = 6 is obtained as follows:
y = 0.9(6) + 7.6 = 13.
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Solve for d -9a-12=12-d
Answers
Answer:
d= 24 + 9a
Step-by-step explanation:
– 9a – 12 = 12 – d
by collecting like terms
–9a +d = 12 +12
–9a +d = 24
d= 24 + 9a
Answer:
Step-by-step explanation:
-9a-12=12-d
d=9a+24