A student takes a 10-question true-or-false quiz and randomly guesses the answer to each question. Suppose that a correct answer is worth 1 point and an incorrect answer is worth -.5 points. Find the probability that
1)The range of the following relation: R {(3, -5), (1, 2), (-1, -4), (-1, 2)} is
{-1, 1, 3}
{-5, -4, 2}
{-1, -1, 1, 3}
{-4, -5, 2, 2}
2) The domain of the following relation: R {(3, -2), (1, 2), (-1, -4), (-1, 2)} is
{-1, 1, 3}
{-1, -1, 1, 3}
{-4, -2, 2, 2}
{-4, -2, 2}
The range of the first relation is {-5, -4, 2}, and the domain of the second relation is {-1, 1, 3}.
The range of a relation is the set of all second elements in each ordered pair. For the relation R = {(3, -5), (1, 2), (-1, -4), (-1, 2)}, the range is the set of second elements {-5, 2, -4, 2}. When we list the unique values, we get the range as {-5,-4, 2}.
The domain of a relation consists of all the first elements in each ordered pair. Given the relation R = {(3, -2), (1, 2), (-1, -4), (-1, 2)}, the domain is the set of first elements {3, 1, -1, -1}. The domain with unique values is {-1, 1, 3}.
li started a pool cleaning business. She purchased cleaning supplies and charged the same amount for each pool cleaned. The expression −243+24x−243+24x represents the profit Tali has earned from cleaning pools. Which expression represents the total amount Tali earns from pool cleaning?
answer is one of these (x , 24, -243 , 24x )
G verify that the divergence theorem is true for the vector field f on the region
e. f(x, y, z) = z, y, x , e is the solid ball x2 + y2 + z2 ≤ 36
sixty-two percent of pet owners say they consider their pet to be their best friend. you randomly select 12 pet owners and ask them if they consider their pet to be their best friend. find the probability that the number who say their pet is their best friend is (a) exactly nine, (b) at least eight, and (c) at most three.
Carlos wants to add two more bags of apples to his order. What is the new total?
Answer:
Hi! The answer to this question is 9.10
Step-by-step explanation:
All of the Items added up equals 9.10
Answer:I thought it was 4.34 but its 9.10
Step-by-step explanation:
Explain how you round the weights of fruits?
Simplify the expression where possible. (3b 3) 4
To simplify the expression (3b^3)^4, raise the base to the fourth power and simplify the exponent.
Explanation:To simplify the expression (3b^3)^4, we need to raise the base, 3b^3, to the fourth power. This can be done by multiplying the exponents. The result is 3^4 * (b^3)^4, which simplifies to 81b^12.
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When water freezes, its volume increases by 9.05% (that is, δv/v0 = 9.05 10-2). what force per unit area is water capable of exerting on a container when it freezes? (the bulk modulus of water is 2.2 109 n/m2. enter the magnitude only.)?
NEED HELP FAST!!!!
Solve the equation.
3x/5 - 0.5 = 1.9
A. 2.3
B. 0.16
C. 4
D. 16
Please explain your answer.
The function h(t) = 210 – 15t models the altitude of a hot air balloon over time t, in minutes. Explain what h(10) means in the context of the real-world scenario, and how to find its value.
what is the value of x in the equation -6/7= -×/84?
Answer:
x=7.
Step-by-step explanation:
To solve this you just hace to clear x from the equation and multipliead the other part of the equation by -84:
[tex]\frac{-6}{7} =\frac{-x}{84} \\x=\frac{6*-84}{7} \\x=\frac{504}{7}\\ x= 72[/tex]
So we know that the value of x in the equation will be 72,
If I drive 70 miles per hour for eight and a half hours, how far will I have driven
multiply speed by time to get distance
70 *8.5 = 595 miles
estimate the value of 97.5 square rated divided by 1.96
how many 1/3 pounds serving in 4 2/3 pound of cheese
Ruth sets out to visit her friend ward, who lives 20 mi north and 100 mi east of her. she starts by driving east, but after 70 mi she comes to a detour that takes her 15 mi south before going east again. she then drives east for 8 mi and runs out of gas, so ward flies there in his small plane to get her.
Solution:
Distance between Ruth House and Ruth Friend House =20 Meter north and 100 meter east of Ruth
Now , Ruth Starts Driving,
but after 70 mi she comes to a detour that takes her 15 mi south before going east again. she then drives east for 8 mi and runs out of gas.
The Diagram of Ruth Driving is depicted below.
Now , when ward flies in small plane to get Ruth,
So, Distance between Ruth and Ward , when Ruth is at Point S=SM
In Right Δ SVM, By Using Pythagoras theorem
SM²=SV² + VM²
DT=VS=15 m
VM=100 - (70+8)
= 100 -78
=22 meter
SM²=(15)² + (22)²
= 225 + 484
= 709
[tex]SM=\sqrt{709}=26.62[/tex]
So, Ward has to travel 26.62 miles east north to reach Ruth.
What is r, the common ratio, in the geometric sequence 2, −14, 98, −686
Answer:
The common ratio r is -7.
Step-by-step explanation:
The common ratio of a geometric sequence is the division of the term [tex]a_{n+1}[/tex] by the term [tex]a_{n}[/tex].
In this problem, we have that:
[tex]a_{1} = 2, a_{2} = -14, a_{3} = 98, a_{4} = -686[/tex].
So the common ratio r is:
[tex]r = \frac{-14}{2} = \frac{98}{-14} = \frac{-686}{98} = -7[/tex]
The common ratio r is -7.
A researcher sends out a survey to 740 subjects by mail and receives completed surveys from 65% of the subjects. How many surveys did the researcher receive?
There are 8 people fishing at Lake Connor: 5 have fishing licenses, and 3 do not. An inspector chooses two of the people at random. What is the probability that the first person chosen has a license and the second one does not? Write your answer as a fraction in simplest form.
Answer:3/28
Step-by-step explanation:
The probability that the first person chosen has a license and the second one does not is 15/56
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur.
Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.
Given that, there are 8 people fishing at lake 5 have fishing licenses, and 3 do not. An inspector chooses two of the people at random. we need to find the probability that the first person chosen has a license and the second one does not
Let us consider the possibility of the first person not having a license, which is:
3/7
Now, after a person has been chosen, there will be 7 people remaining. Assuming that the first person chosen did not have a license, there will be 2 people left in the group without a license.
So, the probability of choosing a person without a license the second time will be:
3/7
In probability, when two events occur together (the word "and" is used), multiplication is carried out.
Therefore, we multiply the two probabilities to get:
5/8 x 3/7 = 15/56
Hence, The probability of choosing two people without a license is 15/56
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Ryan is a software salesman. His base salary is $2500 , and he makes an additional $90 for every copy of History is Fun he sells. Let P represent his total pay (in dollars), and let N represent the number of copies of History is Fun he sells. Write an equation relating P to N . Then use this equation to find his total pay if he sells 21 copies of History is Fun.
equation:
total pay if 21 copies are sold?
Find a formula for a function of the form y=bxe^−ax with local maximum at (1,2.2073). y=________
The required formula is y = 6x e⁻ˣ for a function of the form y=bxe^−ax with the local maximum at (1,2.2073).
What are Maxima of a Function?A function curve has peaks known as maxima. There can be an unlimited number of peaks.
The given function of the form as:
y = bxe⁻ᵃˣ y' = be⁻ᵃˣ (1-ax)
Plug point (x,y) = (1, 2.2073) into equation: 2.2073 = 6be⁻ᵃ
Now plug in y' = 0 at the same x value: 0 = be-6ᵃ(1-6a) or a = 1
and y' = be⁻ᵃ(-a + 1) = 0 giving a = 1
From first equation 2.2073 = b e⁻¹ so b = 2.2073e = 6
So the required formula is y = 6x e⁻ˣ
To find b, plug an into the first equation. The sign of the first derivative shifts from + to -, indicating that it is a maximum critical point.
You may graph the equation using your constants and observe that the point (1, 2.2073) is the maximum.
Therefore, the required formula is y = 6x e⁻ˣ.
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write the algebraic expression for the verbal statement. Let x represent the unknown number. 3 less than twice the sum of a number and 4
The algebraic expression for '3 less than twice the sum of a number and 4' where x is the unknown number is
'2(x + 4) - 3'.
The algebraic expression for the verbal statement "3 less than twice the sum of a number and 4" can be written as follows:
First, let's represent the unknown number by x. The phrase 'the sum of a number and 4' translates to x + 4. 'Twice this sum' means we multiply the expression by 2, resulting in 2(x + 4). Finally, '3 less than' indicates that we need to subtract 3 from this expression. Therefore, the complete algebraic expression is 2(x + 4) - 3.
What is the answer to 6= a/4 + 2
The registration fee for a used car is 0.8% of the sale price of $5,700. How much is the fee?
The registration fee for a used car is 0.8% of the sale price of $5,700 as a result the registration fee is $ 45.60.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.
It is given that the registration fee for a used car is 0.8% of the sale price of $5,700,
The value of the registration fee is found as,
Registration fee = 0.8% of $5,700
Registration fee = (0.8/100) × $5,700
Registration fee = $ 45.6
Thus, the registration fee for a used car is 0.8% of the sale price of $5,700 as a result the registration fee is $ 45.60.
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Gary is buying a $1,250 computer on the installment plan you makes a down payment on of $150 she has to make monthly payments of $48.25 for two and a half years what is the finance change
Answer:
$347.6
Step-by-step explanation:
The computer cost $1250. If Gary made a down paymnet of $150, $1100 is left to be paid. The financial cost per month is $48.25. For two and a half years this amount must be multiplied by the number of months. In two and a half years there is:
[tex]=12+12g+6=30[/tex]
30 months. Gary pays
[tex]=30\cdot{48.25}=1447.5[/tex]
$1447.5 for 30 months. The original amount was $1250. Cary pays a total of:
[tex]=150+1447.6=1597.6[/tex]
The financial change is:
[tex]1597.6-1250=347.6[/tex]
4th grade homework.
Write an equation that represents this comparison sentence..
32 is 8 times as many as 4
What is green and famous for running away from jail?
Escape peas. It is a joke (cause someone to laugh/cause amusement), an example of a joke in English. Jokes are popular because children learn them. Jokes can be an element of mood change for adults. The peas mean the "green" and the escape is related to the "famous for running away from jail" part.
what is 5-2y=3x in standard form?
To write 5 - 2y = 3x in standard form, you rearrange it to Ax + By = C, resulting in the equation 3x - 2y = -5, which is in standard form as requested.
To write the equation 5 - 2y = 3x in standard form, you want to arrange it to Ax + By = C, where A, B, and C are integers, and A should not be negative. Here's how you can do it:
First, we will move the term involving x to the left side of the equation by subtracting 3x from both sides:3x - (5 - 2y) = 3x - 3xThis simplifies to:-3x + 2y = 5Finally, to keep A positive, if necessary, multiply the entire equation by -1:3x - 2y = -5Thus, the standard form of the equation is 3x - 2y = -5.
Which distribution has a mean of 5? poisson with λ = 25 binomial with n = 200, π = .05 hypergeometric with n = 100, n = 10, s = 50?
Which ordered pair is in the solution set of the following system of inequalities? y>0.5x+4 y≥‒3x+10 A. (2, 6) B. (1, 5) C. (3, 2) D. (4, 5)