An empty set that represents u = {x|x is a negative real number} is {x|x ∈ U and x has a negative cube root}. Correct option is A.
An empty set is a set that has no elements or is a subset of a set with no elements. In other words, an empty set contains no elements.
In this case, U is the set of all negative real numbers. Each option describes a set of numbers that are also in U, but we need to determine if any of the options are an empty set.
Option A states that the set consists of all negative real numbers that have a negative cube root. However, every negative real number has a real cube root, whether it is positive or negative. Therefore, this set is empty.
Option B states that the set consists of all negative real numbers that have a negative square root. This set contains all negative real numbers, so it is not empty.
Option C states that the set consists of all negative real numbers that are equal to the product of a positive number and -1. This set contains only one element, which is 0, since the product of any positive number and -1 is -1. Therefore, this set is not empty.
Option D states that the set consists of all negative real numbers that are equal to the sum of one negative and one positive number. This set contains all negative real numbers, so it is not empty.
Therefore, the only option that represents an empty set is Option A.
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Complete question is:
Consider U = {x|x is a negative real number}.
Which is an empty set?
A){x|x ∈ U and x has a negative cube root}
B) {x|x ∈ U and x has a negative square root}
C) {x|x ∈ U and x is equal to the product of a positive number and –1}
D) {x|x ∈ U and x is equal to the sum of one negative and one positive number}
Every weekend me and my brother and my cousin go outside to play basketball and when i was the one who will shoot the ball to the ring i used the things i learned in math so I use SOH-CAH-TOA in measuring it. I want to measure the distance between me and the basketball ring. Supposed the height of the ring is 8ft from the ground and the distance between me and the basketball ring horizontally is 11.5 ft, and the angle of elevation from the ground is 50 degrees, now what is the distance of me and the ring?
Let x be the distance between me and the ring
need urgent answers with equation
by using SOH from SOHCAHTOA
Answer:
10 . 44 ft
Step-by-step explanation:
sin 50 = opposite leg / hypotenuse = 8 / x
8 / sin 50 = x = 10 .44 ft
Answer:
10.433cm
Step-by-step explanation:
Using SOH from TOACAHSOH,
\(sin50deg = \frac{opposite}{hypotenuse} \)
From here we know there the opposite is 8ft (height of the ring) and hypotenuse is what we want to find, distance between you and the ring.
\(sin(50) = \frac{8}{x} \\ x \sin(50) = 8 \\ x = \frac{8}{ \sin(50) } \\ x = 10.443cm(rounded \: to \: 5sf)\)
Jeremy is playing a game of roulette. Every round he plays $20 on black. If the ball lands on black he will double his money, but if it lands on green or red he will loose his entire bet. Jeremy has constructed the following probability distribution.Event Net Win Probability
Black $20 18/38
Red -$20 18/38
Green -$20 2/38
A. Calculate the expected value
B. Interpret the value you found in part A)
Jeremy Tries doubling his bet to $40 per round, which leads to the following probability distribution
Event Net Win Probability
Back $40 18/38
Red -$40 18/38
Green -$40 2/38
C. Calculate the expected value of this new distribution
D. Jeremy thinks that doubling his bet would increase his odds to win money, is he correct? Explain.
A. The expected value for Jeremy's initial distribution is:
E(X) = (18/38)$20 + (18/38)(-$20) + (2/38)(-$20) = -$0.53
B. This means that on average, Jeremy can expect to lose $0.53 per round played in the long run.
C. The expected value for Jeremy's new distribution, where he bets $40 per round, is:
E(X) = (18/38)$40 + (18/38)(-$40) + (2/38)(-$40) = -$1.05
D. Doubling his bet does not increase Jeremy's odds of winning money, as his expected value is still negative.
The expected value for Jeremy's initial distribution is calculated by multiplying the net win for each event by its probability of occurring and summing the results. The expected value for Jeremy's new distribution is calculated in the same way, but with a net win of $40 instead of $20.
The negative expected value in both cases means that, on average, Jeremy can expect to lose money over time. Doubling his bet does not increase his odds of winning money, as his expected value is still negative. In fact, increasing his bet actually increases his expected loss per round, as seen in the comparison of the expected values for the two distributions.
This is due to the fact that the increased bet size does not change the underlying probabilities of the game. Roulette is a game of pure chance, and the odds of winning or losing a given round are always the same, regardless of the size of the bet.
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f(x) = 3(4)× in an exponential function.
thank you <33
Answer:
f(x)=12x
Step-by-step explanation:
Like and give 5 star rating
Please brainlest
question in link below
Answer:
105
Step-by-step explanation:
2x17=34
17x2.5=42.5
1.5x17=25.5
1/2x2x2x1.5=3
34+42.5+25.5+3=105
Answer Po Ba Ay 11.33?
Step-by-step explanation:
Calc
basically I have to graph both equations and see where the lines intersect
pls help :)
Answer:
(—1,—4)
Step-by-step explanation:
Attached the graph...
Six increased by 1-3 of a number is 11 . Find the number
Answer:
7 is the answer
Step-by-step explanation:
6 + 1 - 3 of a number = 11
1 - 3 = -2
6 - 2 = 4
so 4 + 7 is 11
Hope it helps!
21/4 times the quantity 51/2 minus k
Need help writing a expression for this phrase
Answer:
21/4 x 51/2 - k use the app Photomate if wrong
A consumer group tested 11 brands of vanilla yogurt and found the numbers below for calories per serving.
a) Check the assumptions and conditions.
b) A diet guide claims that you will get an average of 120 calories from a serving of vanilla yogurt. Use an appropriate hypothesis test to comment on their claim.
130 165 155 120 120 110 170 155 115 125 90
a) The independence assumption _____ been violated, and the Nearly Normal Condition ______ justified. Therefore, using the Student-t model for inference been violated, _____ reliable.
b) Write appropriate hypotheses for the test.
H0: ___
НА: ___
The test statistic is t = ____
(Round to two decimal places as needed.)
The P-value is ___
(Round to three decimal places as needed.)
In the question, the independence assumption may have been violated, while the Nearly Normal Condition is likely justified. Therefore, the use of the Student-t model for inference may be unreliable.
a) In order to perform a hypothesis test on the claim made by the diet guide, we need to assess the assumptions and conditions required for reliable inference. The independence assumption states that the observations are independent of each other. In this case, it is not explicitly mentioned whether the yogurt samples were independent or not. If the samples were obtained from the same batch or were not randomly selected, the independence assumption could be violated.
Regarding the Nearly Normal Condition, which assumes that the population of interest follows a nearly normal distribution, it is reasonable to assume that the distribution of calorie counts in vanilla yogurt is approximately normal. However, since we do not have information about the population distribution, we cannot definitively justify this condition.
b) The appropriate hypotheses for testing the claim made by the diet guide would be:
H0: The average calories per serving of vanilla yogurt is 120.
HA: The average calories per serving of vanilla yogurt is not equal to 120.
To test these hypotheses, we can use a t-test for a single sample. The test statistic (t) can be calculated by taking the mean of the sample calorie counts and subtracting the claimed average (120), divided by the standard deviation of the sample mean. The p-value can then be determined using the t-distribution and the degrees of freedom associated with the sample.
Without the actual sample mean and standard deviation, it is not possible to provide the specific test statistic and p-value for this scenario. These values need to be calculated using the given data (calorie counts) in order to draw a conclusion about the claim made by the diet guide.
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Solve for x.
1/3 (3/2x-3)=-5/6x
Answer: Hello
Step-by-step explanation: The answer is
1/3 (3/2 x -3) = -5/6x
Answer: x=3/4
Hope This Helps!
Answer:
x=3/4
Step-by-step explanation:
1/3 times 3/2 x is 1/2x
1/3 times -3 is -1
1/2x-1=-5/6x
1/2 is equal to 3/6
-1=-5/6x-3/6x
-1=-8/6x
x=6/8
x=3/4
Calculate the measure of ∠AEC.
A. m∠AEC=105∘
B. m∠AEC=115∘
C. m∠AEC=125∘
D. m∠AEC=135∘
What is the equation of the line that has a slope of 5 and passes through the point (-4, 10)? * (20 Points)
Can someone plz solve
6n - 5 >55
And give me details on why that is the answer plz I need help
Answer:
Step-by-step explanation:
6n -5>55
6n >55+5
6n > 60
n> 60/6
n> 10
Or substitute any value.
Lets substitute 5: 6*5-5> 55
30-5>55
25 > 55
false, because 25 is less than 55
lets substitute 11: 6*11-5>55
66-5>55
61>55
true, because 55 is 6 less than 61
Answer:
Let's solve your inequality step-by-step.
6n−5>55
Step 1: Add 5 to both sides.
6n−5+5>55+5
6n>60
Step 2: Divide both sides by 6.
6n
6
>
60
6
n>10
Step-by-step explanation: Answer would be N>10 so greater than 10 so the line thing would have an open circle on ten then would go to the right.
Given the equation below, find y when x = ½ .
Y = -6x -8 3
Answer:
When x=1/2
Y=-6x-83
Y=-6(1/2)-83
Y=-3-83
Y=-86
Which of the following questions may be on a list about effectively using statistics in a speech?○ Are my numbers from reliable sources?○ Do I use statistics to quantify ideas?○ Do I relate the statistics to the audience?
All three options are relevant questions to consider when effectively using statistics in a speech.
1. "Are my numbers from reliable sources?" - It is crucial to use reliable and accurate data sources to ensure that your speech presents trustworthy information.
2. "Do I use statistics to quantify ideas?" - Using statistics can help support your arguments and make your points more concrete, making your speech more persuasive and engaging.
3. "Do I relate the statistics to the audience?" - Relating statistics to the audience helps make the data more relevant and understandable, allowing listeners to better grasp the importance of the information.
To effectively use statistics in a speech, you should ensure that you use reliable sources, use statistics to quantify your ideas, and relate the statistics to your audience.
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A company rents storage sheds shaped like rectangular prisms. Each shed is 12 feet long, 8 feet wide, and 10 feet tall. The rental cost is $3 per cubic foot. How much does it cost to rent one shed?
Answer:
$2880
Step-by-step explanation:
Volume of rectangular prism:First find the volume of the prism.
l = 12 ft
w = 8 ft
h =10 ft
\(\sf \boxed {\bf Volume \ of \ rectangular \ prism = l*w*h}\)
= 12 *8 * 10
= 960 cubic feet
To find the rental cost, multiply the volume of the prism by the rental cost per cubic foot.
Rental cost = 960 * 3
= $ 2880
In a circle, an angle measuring 2.4 radians intercepts an arc of length 24.4. Find the radius of the circle to the nearest
The radius of the circle is approximately 10.17 units (rounded to two decimal places).
To find the radius of the circle, we need to use the formula that relates the central angle to the length of the arc and the radius of the circle. The formula is given as:
arc length = radius x central angle
In this case, the arc length is given as 24.4 and the central angle is given as 2.4 radians. Substituting these values in the formula, we get:
24.4 = r x 2.4
Solving for r, we get:
r = 24.4 / 2.4
r ≈ 10.17
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SOMEONE PLEASE HELP I will give you brainliest it’s due in 11:59 pm TODAY!! Please
Two garden hoses are filling a kiddie pool together. Together they can fill the pool in 12 minutes. If used separately, one hose can fill the pool 10 minutes faster (not 10 times) than the other. How long does each hose take by itself to fill the pool?
Hint: 10 minutes more is x+10.
PLEASE ANSWER NEED URGENT
Answer:
Step-by-step explanation:
if the faster hose is ten minutes faster and both together only takes 12 minutes then the secound one by it self should take 22 mins. i think im not sure tho
Practice: An object is launched into the air with an initial velocity of 48ft/sec. from the topof a building 288 ft high. The height h(t) of the object after t seconds is given by h(t) =-16t2 + 48t + 288.
R)
Given the function of the height of the object, we can obtain its maximum by using its derivative, as shown below.
\(\begin{gathered} h^{\prime}(t)=0\to\text{critical point} \\ h^{\prime}(t)=-32t+48 \\ \Rightarrow h^{\prime}(t)=0 \\ \Rightarrow-32t+48=0 \\ \Rightarrow t=\frac{48}{32}=\frac{3}{2} \end{gathered}\)Then, the object will reach its maximum height at t=3/2, which is
\(h(\frac{3}{2})=-16(\frac{3}{2})^2+48\cdot\frac{3}{2}+288=324\)The time it takes for the object to reach its maximum height is 1.5 seconds.
The maximum height is 324 ft.
What is the value of the missing number in the sequence below?*
2916, 972, 324, 36
9514 1404 393
Answer:
108
Step-by-step explanation:
The common ratio is ...
972/2916 = 1/3
The ratio of the last two numbers shown is 1/9, indicating a missing number between them:
2916, 972, 324, 108, 36
The missing number is 108.
In the diagram below, AB is parallel to CD. What is the value of x?
Answer:
150 degrees
Step-by-step explanation:
You can figure this out by looking at the degrees below d, and you see it is thirty, and that it is equal to the degree above the x, so then you subtract 30 from 180 to get 150. Hopefully that makes sence, I forgot what some of the terms are called.
(6x + 7) + (8x-27) how do you solve
Answer:
x=+17
Step-by-step explanation:
6x+7=8x-27
We move all terms to the left:
6x+7-(8x-27)=0
We get rid of parentheses
6x-8x+27+7=0
We add all the numbers together, and all the variables
-2x+34=0
We move all terms containing x to the left, all other terms to the right
-2x=-34
x=-34/-2
x=+17
how many terms are in the following expression?
The number of terms in the expression, 6 + 2 x - 4 y + 5 z is 4 terms.
How to find the number of terms ?In the expression 6 + 2x - 4y + 5z, the number of terms is four, not the number of signs. The terms in this expression are:
62 x- 4 y 5 zEach term is separated by an operator (either addition or subtraction), which is represented by a sign. Therefore, the expression contains three addition signs and one subtraction sign.
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The full question is:
How many terms are in the following expression 6 + 2 x - 4 y + 5 z
Shona bought 5 bags of cement and 4 bags of gravel. The total weight of her bags was 200 kilograms.
Write down an equation to illustrate this information.
The equation illustrates the given information is 5x+4y=200
Cement= a bag x kg
Gravel =a bag of y kg
What is the equation?
An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
and the total is 200kg
Therefore we get the equation is
5x+4y=200
Therefore the equation illustrates the given information is 5x+4y=200.
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find the rectangular coordinates of the point, whose cylindrical coordinates are given. (a) (5, , 4e).
The rectangular coordinates of the point are (5, 0, 4e).
When working with points in three-dimensional space, it is often useful to describe them using different coordinate systems such as cylindrical, spherical, or rectangular.
In order to convert cylindrical coordinates to rectangular coordinates, we use a set of equations that relate the distance from the origin, the angle in the xy-plane, and the height to the corresponding x, y, and z values.
x = r*cos(theta)
y = r*sin(theta)
z = z
Where r is the radius, theta is the angle, and z is the height.
Given the cylindrical coordinates (5, , 4e), we can plug in the values into the equations to find the rectangular coordinates.
x = 5*cos() = 5*cos(0) = 5*1 = 5
y = 5*sin() = 5*sin(0) = 5*0 = 0
z = 4e
Therefore, the rectangular coordinates of the point are (5, 0, 4e).
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If James earns 2000$ every month, how much would James make in 11 months?
Answer:
$22,000
Step-by-step explanation:
2000 x 11
=22000
Answer:
500000000020000900000333000999990202i283u8
Decrease £6,000 by 4% and then by 5%.
a psychologist is studying the self image of smokers, which she measures by the self-image (si) score from a personality inventory. she would like to estimate the mean si score, , for the population of all smokers. she plans to take a random sample of si scores for smokers and estimate via this sample. assuming that the standard deviation of si scores for the population of all smokers is , what is the minimum sample size needed for the psychologist to be confident that her estimate is within of ? carry your intermediate computations to at least three decimal places. write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements).
To calculate the minimum sample size needed, we can use the formula: n = (z * σ / E)^2
Where:
z = the z-score associated with the desired level of confidence (let's assume 95% confidence, so z = 1.96)
σ = the standard deviation of the population (given in the problem statement)
E = the maximum error margin (given in the problem statement)
Plugging in the values, we get:
n = (1.96 * σ / E)^2
To determine the value of σ/E, we need more information. Let's assume that the maximum error margin E is 0.5, which means that the psychologist wants to be within 0.5 points of the true population mean si score.
Now, let's say that σ = 10 (just as an example). Then, σ/E = 10/0.5 = 20.
Plugging this into the formula, we get:
n = (1.96 * 10 / 0.5)^2 = 384.16
Rounding up to the nearest whole number, the minimum sample size needed is 385.
Therefore, the psychologist would need to take a random sample of at least 385 si scores from smokers to be confident that her estimate of the population mean si score is within 0.5 points.
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The trapezium DEFG is made up of a triangle and a parallelogram. a. Find the area of the triangle FGH. b. Find the area of the parallelogram DEFH. c.What is the sum of the areas of triangle FGH and parallelogram DEFH? d. Use the formula to find the area of the trapezium DEFG.
a. The area of triangle FGH = (b * h) / 2.
b. The area of parallelogram DEFH = DE * GH.
c. The sum of the areas of triangle FGH and parallelogram DEFH Area of triangle + Area of parallelogram.
d. The area of trapezium DEFG = (DE + FG) * GH / 2.
How do we calculate?a. Area of triangle FGH:
The area of a triangle = (base * height) / 2.
base of triangle FGH = FG
the height = GH.
Assuming that FG = b
GH = h.
The area of triangle FGH = (b * h) / 2.
b. Area of parallelogram DEFH:
The area of a parallelogram = base * height.
The base of parallelogram DEFH = DE
the height= GH
Area of parallelogram DEFH = DE * GH.
c. The Sum of the areas = Area of triangle + Area of parallelogram.
d. Area of trapezium DEFG:
The area of a trapezium = (sum of parallel sides * height) / 2.
Sum of the parallel sides= DE + FG,
The height = GH.
Area of trapezium DEFG = (DE + FG) * GH / 2.
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The missing term in the following polynomial has a degree of 5 and a coefficient of 16. Which statement best describes the polynomial? It is not in standard form because the degree of the first term is not greater than six. It is not in standard form because the degree of the first term should be equal to zero. It is in standard form because the exponents are in order from highest to lowest. It is in standard form because the coefficients are in order from highest to lowest.
Answer:
A.) It is not in standard form because the degree of the first term is not greater than six.
Step-by-step explanation: