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Domain = { -6 , -3 , 1 , 14 }
Range = { -4 , -2 , 0 , 12 }
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Thus the correct answer is (( B )) .
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Here, the domain and range of the function represented by the set of ordered pairs {(-6, 12).(-3,-2), (1,0), (14,-4)} is
{-6, -3, 1, 14} and {12, -2, 0, -4} respectively.
What is range?We know that the range refers to all possible values of y, and the domain refers to all possible values of x.
How to solve it?For (-6, 12), the x value = -6 and the y value = 12.
For (-3, -2), the x value = -3 and the y value = -2.
For (1, 0), the x value = 1 and the y value = 0.
For (14, -4), the x value = 14 and the y value = -4.
So, the domain is {-6, -3, 1, 14} and the range is {12, -2, 0, -4}.
Therefore the domain and range of the function represented by the set of ordered pairs {(-6, 12).(-3,-2), (1,0), (14,-4)} is
{-6, -3, 1, 14} and {12, -2, 0, -4} respectively. So, option B is correct.
Learn more about the range and domain here -
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Caleb runs laps at the local track. The circular track measures 70 feet across its diameter. How many feet will Caleb run if he stays on the outer edge of the track? (Round to the nearest whole number.)
Answer:
Caleb will run 237 ft
Step-by-step explanation:
Answer:
Caleb will run 220 ft.
Step-by-step explanation:
70 * pi = 220 ft
Andrew sold 45 tickets to the school play and Sara sold 60 tickets. Which of the following is equivalent to the ratio of the number of tickets Andrew sold to the number of tickets Sara sold?
a. 6:8
b. 8:10
c. 6:10
d. 10:12
Answer:
a
Step-by-step explanation:
definitely not d
Answer:
A
Step-by-step explanation:
i promise this is my last one! BAHAHHAHA
Answer:
c 12 red marbles and 9(origninally i had 12 rad marbles and 8 blue i ment 9) blue marbles XD
Step-by-step explanation:can i get brainliest
Who tryna okay among us??
Answer:
(7i^17+42.628%*1037)(437^2-281i)^19
Step-by-step explanation:
Itll all make sense
M e e e e e ??
Hope you have a great day!
An experimenter flips a coin 100 times and gets 58 heads. Find the 90% confidence interval for the probability of flipping a head with this coin.
a. [0.483, 0.677]
b. [0.383, 0.627]
c. [0.533, 0.538]
d. [0.483, 0.477]
e. [0.403, 0.677]
f. None of the above
Answer:
The correct option is f.
Step-by-step explanation:
The (1 - α)% confidence interval for the population proportion is:
[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
It is provided that an experimenter flips a coin 100 times and gets 58 heads.
That is the sample proportion of heads is, [tex]\hat p=0.58[/tex].
The critical value of z for 90% confidence level is, z = 1.645.
*Use a z-table.
Compute the 90% confidence interval for the probability of flipping a head with this coin as follows:
[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
[tex]=0.58\pm 1.645\cdot\sqrt{\frac{0.58\times(1-0.58)}{100}}\\\\=0.58\pm 0.0812\\\\=(0.4988, 0.6612)\\\\\approx (0.499, 0.661)[/tex]
Thus, the 90% confidence interval for the probability of flipping a head with this coin is (0.499, 0.661).
The correct option is f.
In southern California, a growing number of individuals pursuing teaching credentials are choosing paid internships over traditional student teaching programs. A group of eight candidates for three local teaching positions consisted of five who had enrolled in paid internships and three who enrolled in traditional student teaching programs. All eight candidates appear to be equally qualified, so three are randomly selected to fill the open positions. Let Y be the number of internship trained candidates who are hired. Find the probability that two or more internship trained candidates are hired.
Answer:
The required probability = 0.7143
Step-by-step explanation:
From the information given:
From a group of eight candidates
The no. of candidates that enrolled in internships = 5
The no. of candidates that enrolled in teaching = 3
Also, supposed all the eight candidates are equally qualified;
Then, Let assume that:
Y to represent the number of internship trainee candidates hired.
N to represent no. of candidates in a group = 8
r to represent those who enrolled in paid internship = 5
Now, N - r = 3 (for those who enrolled in traditional teaching program)
Suppose; n represent the positions for local teaching which is given as 3;
Then; selecting 3 from 8 whereby some enrolled in internships and some in traditional teaching programs;
Then, let assume Y is a random variable that follows a hypergeometric distribution; we have:
[tex]p(Y = y) = \left \{ {{\dfrac{ \bigg (^r_y \bigg)\bigg (^{N-r}_{n-y} \bigg) }{ \bigg ( ^N_n \bigg) } } _\atop { ^{0, otherwise} } } \right.[/tex]
[tex]p(Y = y) = \left \{ {{\dfrac{ \bigg (^5_y \bigg)\bigg (^{3}_{3-y} \bigg) }{ \bigg ( ^8_3 \bigg) } } } } \right, y= 0,1,2,3[/tex]
Thus, the probability that two or more internship trained candidates are hired can be computed as:
p(Y ≥ 2) = p(Y=2) + p(Y =3)
[tex]p(Y \geq 2) = \dfrac{ \bigg ( ^5_2\bigg) \bigg ( ^3_1 \bigg)}{\bigg (^8_3 \bigg)} + \dfrac{\bigg (^5_3 \bigg) \bigg (^3_0 \bigg)}{\bigg ( ^8_3\bigg)}[/tex]
[tex]p(Y \geq 2) = \dfrac{40}{56}[/tex]
[tex]\mathbf{p(Y \geq 2) = 0.7143}[/tex]
A city planner wants to construct a new road south of Town Hall and north of the Community Center. The city planner currently has the road plotted as a set of parallel lines as shown on the map. However, the current plan for the road would cover a historical marker. ( please help )
Which transformation should the city planner apply to this road so that it preserves the historical marker and still passes south of Town Hall and north of the Community Center?
translate the road up 2 units
translate the road up 4 units
translate the road down 2 units
translate the road down 4 units
Answer:
translate the road down 4 units
Hope this helps
Tell whether the angles are complementary or supplementary. Then find the value of x.
Answer:
Supplementary angles,
x = 50
Step-by-step explanation:
These angles are supplementary, meaning that they add up to form a 180-degree angle or a straight line.
Knowing this, now form and solve the equation,
76 + 2x + 4 = 180
Combine like terms,
76 + 2x + 4 = 180
80 + 2x = 180
Inverse operations,
80 + 2x = 180
-80 -80
2x = 100
/2 /2
x = 50
Example of a balance point
a home's loss of heat is equal to heat created in the home or when both sides of a seesaw are at an equal level.
I WILL MARK BRAINIEST
It showstopper answers I got wrong so please answer correctly and don’t give me answers I already put thanks
B) Side length of B to side length of C is 4:5.
Perimeter of C is 280, so let's put that into the side length of C's place:
4:280
But the 4 also would have to change so let's figure out how much we multiplied 5 by to get 280:
280 / 5 = 56
So let's do 4 x 56 = 224
Our new ratio is 224:280
Therefore the perimeter of mirror B is 224cm.
C) Side length of A to side length of B is 3:4.
We know the perimeter of B from the previous part (224) so let's put that in the 4s place:
3:224
But we also have to change 3, so let's figure out how much we multiplied 4 by to get 224:
224 / 4 = 56
Therefore to determine A's perimeter we do 3 x 56 = 168.
Mirror A's perimeter is 168cm.
D) The side length of mirror A is the perimeter divided by 4 (as they are squares).
168 / 4 = 42. Side length of mirror A is 42cm.
E) Area of a square is side length squared, so the area of mirror A is 42².
42² = 1,764cm².
For what value of b, would the equation 34(12x−9)+b4=5−3(2−3x) have infinitely many solutions?
Answer:
23
Step-by-step explanation:
A normal random variable with mean and standard deviationboth equal to 10 degrees Celsius. What is the probability that the temperature at a randomly chosen time will be less than or equal to 59 degrees Fahrenheit?
Answer:
0.57142
Step-by-step explanation:
A normal random variable with mean and standard deviation both equal to 10 degrees Celsius. What is the probability that the temperature at a randomly chosen time will be less than or equal to 59 degrees Fahrenheit?
We are told that the Mean and Standard deviation = 10°C
We convert to Fahrenheit
(10°C × 9/5) + 32 = 50°F
Hence, we solve using z score formula
z = (x-μ)/σ, where
x is the raw score = 59 °F
μ is the population mean = 50 °F
σ is the population standard deviation = 50 °F
z = 59 - 50/50
z = 0.18
Probability value from Z-Table:
P(x ≤59) = 0.57142
The probability that the temperature at a randomly chosen time will be less than or equal to 59 degrees Fahrenheit
is 0.57142
definitonss for math really easy
Answer:The solution to a system of linear equations is the point at which the lines representing the linear equations intersect. Two lines in the x y xy xy -plane can intersect once, never intersect, or completely overlap.
A system of linear equations is usually a set of two linear equations with two variables. x + y = 5 x+y=5 x+y=5x, plus, y, equals, 5 and 2 x − y = 1 2x-y=1 2x−y=12, x, minus, y, equals, 1 are both linear equations with two variables. When considered together, they form a system of linear equations.
a numerical or constant quantity placed before and multiplying the variable in an algebraic expression.
a constant term is a term in an algebraic expression that has a value that is constant or cannot change, because it does not contain any modifiable variables. For example, in the quadratic polynomial the 3 is a constant term.
Step-by-step explanation:
Will says that in the number 8,184, one 8 is 10 times as great as the other 8. Is he correct? Explain why or why not.
Answer:
blahblahblah
Step-by-step explanation:
hi me
Multiply 16.852 × 0.86 = _____
Answer:
14.49272
Step-by-step explanation:
16.852 × 0.86 = 14.49272
Can someone help me? Please i need this done
intersecting lines r s and t are shown below. what is the value of x
Answer:
15
Step-by-step explanation:
can someone help please
Answer: m<10 less than 10 is the answer so it would be m<10
Step-by-step explanation:
Write Polynomial Function From Graph
Answer:
X=38(8m)#7=274*€7£
Step-by-step explanation:
There you go my answer is pretty much the explanation
not sure what grade this is but if this is collage than that would be the answer
Find the value of x for which I is parallel to m. The diagram is not
to scale.
Answer:
b 56
Step-by-step explanation:
Which is the coefficient in the expression 7 + 14?
2x2x7x8x5x3 one with the most accurate answer will get brainliest
Answer:
2x2x7x8x5x3
=2*x2*x7*x8*x5*x3
=2*x25
=2x25
I think
Question 1 (1 point)
Mr. Whittaker had 24 bags of marbles. If 1/4 were red and 3/8 were yellow. How many were neither red or yellow
6
15
10
9
Answer:
the answer is 9
Step-by-step explanation:
3/8 = 9
1/4=6
9+6=15
24-15=9
so 9 is your answer
DONT FORGET TO MARK BRAINLIEST
What is the prime factorization of 5? Enter your answer as a product of prime numbers, like 2 x 3, or as a single prime number, like 17
Answer:
The prime factorization of 5 is 5 x 1
Step-by-step explanation:
5 is a prime number but the only factors that make up 5 are 5 and 1
Hope this helps!
If point S is located at (0, 0), point T is located at (0, 6), point U is located at (12, 0), and point V is located at (0, 10), what are the coordinates of point W that makes
Answer:
(20,0)
Step-by-step explanation:
Trust me :)
Answer:
(20,0)
Step-by-step explanation: trust the guy ^
Here, BTW ADD MEEEEE
Answer:
8
Step-by-step explanation:
What is the answer to 34.50r+78.50(810-r)
Answer:
-44r+63585
Step-by-step explanation:
Answer:29045 is the answer
Step-by-step explanation:
A local zoo has two large snakes. The anaconda is currently 5.23 meters long and grows
1.27 meters every month. The python is 4.76 meters long and grows 2.04 meters per month.
How many months ( ) m does the zookeeper need to wait for the two snakes to be the
same length?
i really need to know this. my nine weeks ends tomorrow and im behind in math. plzzzzzzzzzzzzz answer this plz, i beg of you
for the anaconda 5.23 + 1.27 m where m is the number of months, and the total length is in meters
The anaconda starts at 5.23 meters and grows 1.27 meters each month for m months
for the python 4.76 + 2.04m where m is the number of months, l is the length of the python in meters
The python starts at 4.76 meters and grows 2.04 meters each month for m months
5.23 + 1.27 m = 4.76 + 2.04m m is the number of months Each side is
Evaluate -3- (-4) - (-2) + 1.
Answer:
4
Step-by-step explanation:
-3+4+2+1=4
In a certain assembly plant, three machines, B1, B2, B3, make 30%, 45%, and 25%, respectively, of the products. It is known from past experience that 2%, 3%, and 2% of the products made by each machine, respectively, are defective.
A. Suppose that a finished product is randomly selected. What is the probability that it is defective?
B. If a product were chosen randomly and found to be defective, what is the probability that it was made by machine B3.
Answer:
a. The probability that the finished product selected is defective is 2.45%.
b. The probability that product chosen randomly was defective and made by machine B3 is 20.41%.
Step-by-step explanation:
Let A represents the defective product.
We also have the following from the question:
P(B1) = Probability or percentage of the made by machine B1 = 30%, or 0.30
P(B2) = Probability or percentage of the made by machine B2 = 45%, or 0,45
P(B3) = Probability or percentage of the made by machine B3 = 25%, or 0.25
P(A/B1) = Probability or percentage of product B1 that is defective = 2%, or 0.02
P(A/B2) = Probability or percentage of product B2 that is defective = 3%, or 0.03
P(A/B3) = Probability or percentage of product B3 that is defective = 2%, or 0.02
We can therefore proceed as follows:
A. Suppose that a finished product is randomly selected. What is the probability that it is defective?
To determine this, the rules of elimination is applied and we have:
P(A) = (P(B1) * P(A/B1)) + (P(B2) * P(A/B2)) + (P(B3) * P(A/B3)) ………… (1)
Where;
P(A) = Probability that the selected product is defective = ?
Substitutes the values defined above into equation (1), we have:
P(A) = (0.30 * 0.02) + (0.45 * 0.03) + (0.25 * 0.02)
P(A) = 0.006 + 0.0135 + 0.005
P(A) = 0.0245, or 2.45%
Therefore, the probability that the finished product selected is defective is 2.45%.
B. If a product were chosen randomly and found to be defective, what is the probability that it was made by machine B3.
To calculate this, the Bayes’ rule is employed as follows:
P(B3/A) = (P(B3) * P(A/B3)) / [(P(B1) * P(A/B1)) + (P(B2) * P(A/B2)) + (P(B3) * P(A/B3))] = (P(B3) * P(A/B3)) / P(A) ………….... (2)
Where;
P(B3/A) = The probability that product chosen randomly was defective and made by machine B3 = ?
Also, from the values already defined and obtained in part A, we have:
P(B3) = 0.25
P(A/B3) = 0.002
P(A) = 0.0245
Substituting the values into equation (2), we have:
P(B3/A) = (0.25 * 0.02) / 0.0245
P(B3/A) = 0.005 / 0.0245
P(B3/A) = 0.2041, or 20.41%
Therefore, the probability that product chosen randomly was defective and made by machine B3 is 20.41%.