Relation C: {(3,4), (3,5)} does not represent a function because it has the same first component with different outputs.
Explanation:In Mathematics, a relation is defined as a set of ordered pairs. A relation is considered as a function if for each input (x value), there is exactly one output (y value). In other words, no two distinct ordered pairs in the function have the same first component. Looking at the options given:
A. {(3, 0), (0, 3)}B. {(6, -2), (5, -2)}C. {(3, 4), (3, 5)}D. {(5, 5), (-5, -5)}E. {(1, -2), (-2, 1)}The relation C. {(3,4), (3,5)} does not represent a function because there are two distinct ordered pairs with the same first component (or x-value) which is 3, but with two different y-values which are 4 and 5. Therefore, this relation violates the definition of a function.
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Final answer:
The relation that does not represent a function is Option C: {(3, 4), (3, 5)} because the number 3 in the domain is paired with two different values in the range, contradicting the definition of a function.
Explanation:
The relation that does not represent a function is Option C: {(3, 4), (3, 5)}. This is because a function is defined as a set of ordered pairs where each element of the domain (the first value in each pair) must correspond to exactly one element in the range (the second value in each pair). Option C depicts the number 3 in the domain being paired with both 4 and 5 in the range, which violates this rule. Therefore, Option C does not satisfy the definition of a function.
Option A, B, D, and E each show that every element of the domain is matched with only one unique value in the range, indicating they are all functions.
A random sample of 850 births included 434 boys. Use a 0.10 significance level to test the claim that 51.5% of newborn babies are boys. Do the results support the belief that 51.5% of newborn babies are boys? Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. Upper H 0: pequals0.515 Upper H 1: pnot equals0.515 Your answer is correct.B. Upper H 0: pequals0.515 Upper H 1: pgreater than0.515 C. Upper H 0: pnot equals0.515 Upper H 1: pequals0.515 D. Upper H 0: pequals0.515 Upper H 1: pless than0.515 Identify the test statistic for this hypothesis test.
The null hypothesis is that 51.5% of newborn babies are boys, and the alternative hypothesis is that the percentage is different from 51.5%. The test statistic, used to decide whether to reject or fail to reject the null hypothesis, is calculated using the observed percentage of boys and the sample size.
Explanation:The question is about testing a hypothesis about the proportion of boys born (51.5%). For this, we set our null and alternative hypotheses. The null hypothesis (H0) being tested here is that the true proportion of boys is 51.5% (p = 0.515), while the alternative hypothesis (H1) is that the proportion of boys is not 51.5% (p ≠ 0.515). The correct choice here would be A: Upper H0: p=0.515, Upper H1: p ≠ 0.515.
To calculate the test statistic, we would use the formula [(p' - p) / sqrt[(p(1 - p) / n]], where p' is the observed proportion in our sample (434 boys out of 850 births or 0.51), p is the claimed proportion (0.515), and n is the sample size (850). After calculating this, you would compare it to a critical value associated with the 0.10 significance level to decide whether to reject or fail to reject the null hypothesis.
Without the specific calculations, I can't tell you what your final test statistic will be, but this should guide you in the right direction.
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The null and alternative hypotheses are H₀: p = 0.515 and H₁: p ≠ 0.515. The test statistic for this hypothesis test is the z-score.
Explanation:The null and alternative hypotheses for this test are:
H₀: p = 0.515H₁: p ≠ 0.515The test statistic for this hypothesis test is the z-score. To calculate the z-score, you can use the formula:
z = (p' - p₀) / sqrt((p₀ * (1 - p₀)) / n)
Substituting the given values:
z = (434/850 - 0.515) / sqrt((0.515 * (1 - 0.515)) / 850)
Calculating the z-score, we can compare it to the critical value(s) from the standard normal distribution to make a conclusion about the null hypothesis.
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please help me and please help me do it in a way i could understand :) ty
helpppp me plz i need help
Answer:
The answer is D
Step-by-step explanation:
I learned this in school
Help plz will mark brainliest
Answer:
for 33 its C
Step-by-step explanation:
4 times blue parakeets is 4b
y=4 times blue parakeets so y=4b
Answer:
D.) [tex]y=\frac{1}{7} g[/tex]
Step-by-step explanation:
Yellow parakeets = y
Green parakeets = g
Blue parakeets = b
There are 7 times as many yellow as green, which leaves us with the following equation:
[tex]7y = g[/tex]
We also know that there are 4 times as many green as blue - but this is just a distractor, this equation is irrelevant!:
[tex]4g =b[/tex]
The proper equation to solve for is [tex]7y=g[/tex]!
To solve, we do the following:
[tex]7y = g\\*\frac{1}{7}\\y = \frac{1}{7} g[/tex]
Suppose you purchase a $500 bond with a 6.5% coupon. What is the periodic
interest rate of this bond?
O A. 6.5%
O B. 0.5%
O C. 3.25%
O D. 1.5%
Answer:
C. 3.25
Step-by-step explanation:
A was wrong I seen the real answer which was C
if a circle has a circumference of 100 pi units what is its area
Step-by-step explanation:
We have,
Circumference of a circle is 100 π.
Formula for circumference is :
[tex]C=2\pi r[/tex]
r is radius of circle
[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{100\pi }{2\pi}\\\\r=50\ \text{units}[/tex]
Formula for area of circle is :
[tex]A=\pi r^2\\\\A=\pi (50)^2\\A=2500\pi\ \text{units}^2[/tex]
the area of the circle is 2500π square units.
To find the area of a circle when given the circumference, we must first determine the radius of the circle. The formula for the circumference of a circle is C = 2 π r, where C is the circumference and r is the radius. In this case, the circumference is 100 π units.
We can solve for the radius (r) as follows:C = 2 π r100 π = 2 π rr = 100 π / (2 π)r = 50 unitsSubstitute the radius (50 units) into the area formula:
A = π * (50 units)²A = π * 2500 units²A = 2500 π units²NEED HELP PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
c-5 inches
Step-by-step explanation:
The table shows the results of an experiment in which subjects taking either a drug or a placebo either reported fatigue or did not report Teague.
Which statements are true?
Chose all answers that are correct.
- more subjects took the drug than took the placebo.
- twenty-eight percent of the subjects did not report fatigue.
- a greater percent of the subjects did not report fatigue.
-a greater percentage of subjects taking the placebo did not report fatigue.
Answer:
- more subjects took the drug than took the placebo.
- a greater percent of the subjects did not report fatigue.
- a greater percentage of subjects taking the placebo did not report fatigue.
Step-by-step explanation:
60% of the subjects took the drug and 40% took the placebo.
56% of the subjects did not report fatigue and 44% reported fatigue.
28% of subjects taking the placebo did not report fatigue and 12% report fatigue.
Answer:
- More subjects took the drug than took the placebo.- A greater percent of the subjects did not report fatigue.Step-by-step explanation:
A cross-table is about several variables, where we can get different analysis about each aspect of each variable.
In this case, we have Drug and Placebo, each of them has certain percentage about Reported Fatigue and Did not Report Fatigue.
According to the table, 60% of the people took drug, and 40% took placebo. That means more subjects took the drug than took the placebo.
Additionally, 56% of the people didn't report fatigue, and 44% reported fatigue. Therefore, a greater percent of the subjects did not report fatigue.
Solve.
2.5z=−15
z=
What is the answer answer in the box
Answer:
Z = -6
Step-by-step explanation:
Who knows the correct answer to this???
Answer:
A. y = 3x + 1
Step-by-step explanation:
Slope-intercept form y = mx + b
m = slope
b = y - intercept
For a normal distribution given a standard deviation of 3.8 in a mean of 54 what percent lies above 48
A 0.1690
B 0.0571
C 0.7660
D 0.9429
Answer:
choice D.) 0.9429
Step-by-step explanation:
Given a Normal data set
mean u = 54
standard deviation s = 3.8
we want P( X > 48)
Standardize this probability so we can use Z-scores.
P( X > 48) = P( (X - u)/s > (48 - 54)/3.8 ) = P(Z > -1.5789)
so I look for P ( Z > 1.5789) = 0.0571
so P(Z > -1.5789) = 1 - P(Z > 1.5789) = 1 - 0.0571 = 0.9429
Which of the following is a complex number?
Answer:
The correct answer is B.
In an aquarium, there are 10 large fish and 5 small fish. Half of the large fish are red.
One fish is selected at random. Find the probability that it is a large, red fish.
Write your answer as a fraction in simplest form.
Answer: I would think 1/3
Step-by-step explanation:
If there are 10 large fish and half are red that would mean there is a 5/10 chance of getting a red fish from the large fish.. because there are 15 fish in total you would do 5/15 because there are 15 and 10 of those fish are large and 5 of the large fish are red. And 5/15 to its simplest form is 1/3! If this is right please give brainlist!
The probability of randomly selecting a large, red fish from an aquarium with 5 red large fish and 10 total large fish is 1/3.
Explanation:This question falls under the category of probability in mathematics. In the given aquarium, we have 10 large fish, 5 of which are red, and 5 small fish. That makes a total of 15 fish. So, when you randomly select one fish, you have 15 possible outcomes. If you want to select a large, red fish, you have 5 such fish in the aquarium. The probability of an event is calculated by dividing the number of desired outcomes by the total number of outcomes. Therefore, the probability of selecting a large, red fish from the tank is 5/15 which simplifies to 1/3, this is the fraction in simplest form that represents the probability.
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Which statement best describes ionic bonding?
Answer:
Electrons are transferred from one atom to another
Step-by-step explanation:
I knoww
Garrett throws a dart at a circular dartboard. The dartboard has a radius of 18 inches, and the bull’s eye in the center of the dartboard has a radius of 4 inches. What is the probability that a dart thrown at random within the dartboard will hit the bull’s eye? Round your answer to the nearest tenth, if necessary.
A. 20.3%
B. 4.9%
C. 22.2%
D. 4.5%
Answer:
B.
Step-by-step explanation:
radius of dart board = 18 inches
radius of bull's eye= 4 inches
(4/18)^2= about 04.9%
so B. 4.9% is your answer
1. How long is a whales head?
its 1/3 of the length of its body
Answer:
Whales head
Step-by-step explanation:
1/3
please help me asap!!
Answer:
this is true!!
Step-by-step explanation:
does anybody know the answer
Answer:
yes
Step-by-step explanation:
i know the answer
Answer:
[tex]111g[/tex]
Step-by-step explanation:
[tex]2 : 3 = 2 + 3 = 5 \\ \frac{185}{5} = 37 \\ \\ \: 2 \: \: \: \: \: \: \: \: \: \: \: \: \: : 3 \\ 37 \times 2 : 37 \times 3 \\ 74 g\: \: \: \: \: \: \: \: \: \: : 111g[/tex]
You are taking a multiple choice test. There are 4 answer choices for each problem. You randomly guess on one. What is the probability, as a PERCENT, you will get it right?
1/4
75%
3/4
25%
NEED HELPP
Answer:25%
Step-by-step explanation: there is 4 choices and you pick one so it means 1/4 chance. You then got to put it in percent form and 1/4 is 0.25 but you then have to move the decimal twice to the right to get 25%
Which geometric series converges? 1 5 + 2 5 + 4 5 + 8 5 + 1 5 + 6 5 + 36 5 + 216 5 +... 1 5 +2+20+200+ 1 5 + 1 20 + 1 80 + 1 320 +.
Answer:
D. 1/5 + 1/20 + 1/80 + 1/320
Step-by-step explanation:
Edge
Option D.) 1/5 + 1/20 + 1/80 + 1/320 is correct
Geometric progression is kind of progression that the ratio to the adjacent values always same.
ratio in every option is not same except option D. 1/5 + 1/20 + 1/80 + 1/320
i.e. (1/5)/(1/20) = (1/80)/(1/20)
Thus the Option D.) 1/5 + 1/20 + 1/80 + 1/320 is correct
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a 11/18
b 13/18
c 5/18
d 18/13
write an expression that represents "the product of 12 and n"
Answer:
12n
Step-by-step explanation:
12 * n= 12n
Answer:
12n
Step-by-step explanation:
You don't really need to do anything it's as simple as it can be!
Can someone help and answer this problem please!
Answer:
C.) [tex]\frac{a^6}{b^5}[/tex]
Step-by-step explanation:
[tex]\frac{a^2b^{-7}}{a^{-4}b^{-2}}[/tex]
Use the quotient rule [tex]\frac{x^a}{x^b}=x^{a-b}[/tex] :
[tex]a^{2+4}b^{-7+2}\\\\a^6b^{-5}\\\\[/tex]
Use the negative power rule [tex]x^{-a}=\frac{1}{x^a}[/tex] :
[tex]a^6*\frac{1}{b^5}\\\\\frac{a^6*1}{b^5}\\ \\\frac{a^6}{b^5}[/tex]
:Done
Answer:
D
Step-by-step explanation:
[tex]\dfrac{a^2b^{-7}}{a^{-4}a^{-2}}=\\\dfrac{a^2}{a^{-4}}\cdot \dfrac{b^{-7}}{b^{-2}}=[/tex]
[tex]a^6b^{-5}[/tex], or option D. Hope this helps!
5 friends go out to lunch and order 3 large pizzas. The friends divided the pizzas evenly. Find how much pizza each friend got as a decimal
Answer:4.8 slices
Step-by-step explanation:there are 8 slices in a pizza times 3 pizzas divided by 5 friends
Each of the 5 friends gets 0.6 of a pizza when they evenly divide 3 large pizzas.
When 5 friends go out to lunch and order 3 large pizzas, dividing the pizzas evenly, we can calculate the amount of pizza each friend got. To start, we need to determine the total amount of pizza available in terms of 'pizza units'. Since there are 3 pizzas and 5 friends, we divide the pizzas into 5 equal parts. This means that each of the 3 pizzas is divided into 5 slices (assuming each pizza can be divided into equal parts).
We can represent this as a fraction where the numerator is the total number of pizzas (3) and the denominator is the number of friends (5). So, each friend gets
3/5 of a pizza. Now, converting that fraction into a decimal, we divide the numerator by the denominator. Thus, 3 divided by 5 equals 0.6. Therefore, each friend gets 0.6 of a pizza as a decimal.
(Sorry forgot to put picture)
What is the value of x?
A. X=3
B. X=8.5
C. X=6.5
D. X=14
In ΔHIJ, i = 900 cm, ∠H=95° and ∠I=28°. Find the length of j, to the nearest centimeter.
Answer:
J=1607.77cm
Step-by-step explanation:
Answer:
1608
Step-by-step explanation:
fair coin is tossed 3 times in a row. What is the probability that heads appears on only the last toss?
Answer:
1/1
Step-by-step explanation:
SO the chances are 1/1, or 100%. There are 2^3 = 8 possible outcomes after tossing a fair coin fairly 3 times. The 8 possible outcomes are: TTT, HTT, THT, TTH, HHT, HTH, THH, HHH.
The probability of getting heads only on the last toss of three tosses of a fair coin is 0.25 or 25%. This theoretical probability, according to the law of large numbers, tends to become closer to the observed frequency as the number of repetitions increases.
Explanation:The subject of this question can be classified under Mathematics. It falls under the area of probability, specifically the concept of binomial probability. When a fair coin is tossed, there are two possible outcomes: heads (H) or tails (T). The probability of getting either outcome is 0.5. This is the theoretical probability based on the assumption that the coin is fair and unbiased.
Tossing the coin three times introduces eight possible combinations (HHH, HHT, HTH, HTT, THH, THT, TTH, TTT). Out of these, only two combinations (TTH, THT) yield heads (H) on the last toss alone.
Therefore, the probability of getting heads only on the last toss is the number of successful outcomes divided by the total number of outcomes, i.e., 2 out of 8 or 0.25 (25%). This probability is a theoretical probability that deals with long-term expectation and it tends to become closer to the observed or empirical frequency as the number of repetitions increases (law of large numbers).
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Which of the following scatter plots shows a strong, negative linear association between variables ?
The scatter plot that shows a strong, negative linear association between variables is Scatter Plot A.
Option A is the correct answer.
What is a scatterplot?A scatterplot is a type of graphical display that is used to represent the relationship between two continuous variables.
In a scatterplot, each point represents the values of the two variables, with one variable being plotted along the x-axis and the other variable being plotted along the y-axis.
The position of each point on the graph represents the values of both variables for that particular observation.
We have,
A strong, negative linear association between variables means that as one variable increases, the other variable decreases consistently and predictably.
This relationship is described as negative because the two variables move in opposite directions.
For example, if you were studying the relationship between temperature and the demand for ice cream, you would expect a strong, negative linear association because as the temperature increases, the demand for ice cream decreases.
In terms of a scatterplot, this relationship would be seen as a cluster of points that form a straight line sloping downwards from left to right.
Thus,
The scatter plot that shows a strong, negative linear association between variables is Scatter Plot A.
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Emery's blueberry farm can produce 535 bushels of blueberries in 2 days. At this rate, how many bushels of blueberries can Emery's farm produce in 9 days? A. 2,675 B. 1,872.5 C. 2,140 D. 2,407.5
Answer: THE ANSWER IS D 2,407.5
Step-by-step explanation:
Can someone answer this plzz
Answer: 5
Step-by-step explanation: