Answer:
6;
\( {50}^{o} \)
Step-by-step explanation:
AB=DE=6
m∠F=m∠C=
\( {50}^{o} \)
1. Name of the missing segment.
2.Length of the missing segment.
Answer:
Name: FE
Length: 13
Step-by-step explanation:
The total length is 34, so you would do 34-21, which equals 13.
Answer:
1.) \(\overline{FE}\)
2.) 13
Step-by-step explanation:
For the first question you just need to see where the missing segment starts and ends. Then you could write it either way EF or FE. I prefer to keep it in order from left to right.
Now for the second question you just have to take the value of the segment that's known and subtract it from the whole segment value to find the missing segment. So in this case we would do 34 - 21 and that will give us 13, so the missing segment is 13.
The sum of the first two terms s2=34 the sum of the 3 terms 63
Answer:
sorry no answear
Step-by-step explanation:
PLESE HELP I DONT UNDERSTAND PROBABILITY
Answer:
D. 1/2 ≈ 0.083
Step-by-step explanation:
So for the coin there is a 1/2 chance because there are two sides, and only one will be "right." For the side-sided dice, there is a 1/6 chance using the same thinking as the coin.
We can multiply them by each other,
1/2 * 1/6 = 1/12
So the correct answer is D. 1/2 *about* 0.083
I hope this helps, have a nice day! :D
find the inverse for each relation:
Answer:
{(-2,1),(3,2),(3,3),(2,4)}{(2,4),(1,5),(0,6),(-1,7)}A roller coaster’s height is given by the equation h = –.067t2 7t 50, where t represents the time in seconds. how long will it take riders to pass over the hill and reach ground level? hint: set h = 0. 13.40 seconds 50.07 seconds 52.24 seconds 111.19 seconds
The time it take riders to pass over the hill and reach ground level is 111.19 seconds .
Given :
the roller coaster's height expressed by the equation below;
h = -0.067t^2 + 7t + 50
where
t is the time in seconds
The driver will hit the ground at the point where h = 0
Substitute
-0.067t^2 + 7t + 50 = 0
Multiply through by -1
0.067t^2 - 7t +-50 = 0
Factorize :
On factorizing, the positive value of "t" is 111.19 seconds
Hence the time it take riders to pass over the hill and reach ground level is 111.19 seconds
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One letter is chosen at random from the word THANKS. A letter is then chosen at random from the word STARK
1. Write out ALL of the outcomes in the sample space of this chance experiment.
. 2. How many outcomes are in the sample space?
3. What is the probability that the letters chosen are AA?
1. The outcomes in the sample space of choosing a letter from the word STARK are: S, T, A, R, K.
2. Number of outcomes in the sample space = 6 (from THANKS) × 5 (from STARK) = 30.
3. The Probability of choosing the letters AA is 0, as there are no occurrences of the letter A in both words together.
1. The outcomes in the sample space of choosing a letter from the word THANKS are: T, H, A, N, K, S.
The outcomes in the sample space of choosing a letter from the word STARK are: S, T, A, R, K.
2. To find the number of outcomes in the sample space, we multiply the number of outcomes for each word.
Number of outcomes in the sample space = Number of outcomes for the first word × Number of outcomes for the second word
Number of outcomes in the sample space = 6 (from THANKS) × 5 (from STARK) = 30.
3. The probability of choosing the letters AA would be the number of favorable outcomes (which is 0 in this case) divided by the total number of outcomes in the sample space.
Probability of choosing AA = Number of favorable outcomes / Total number of outcomes
Probability of choosing AA = 0 / 30 = 0.
Therefore, the probability of choosing the letters AA is 0, as there are no occurrences of the letter A in both words together.
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suppose that for some hypothesis test on the mean of a normally distributed population, standard deviation known, the p-value is computed as 0.11. if a level of significance of 0.05 is used, is rejecting the null hypothesis in favor of the alternative the correct decision?
If the p-value for a hypothesis test is greater than the chosen level of significance, then the null hypothesis cannot be rejected.
In this case, the p-value is 0.11 and the level of significance is 0.05. Since the p-value is greater than the level of significance, we cannot reject the null hypothesis.
Therefore, we do not have sufficient evidence to conclude that the population mean is different from the hypothesized value. In other words, we do not have enough evidence to support the alternative hypothesis.
Thus, rejecting the null hypothesis in favor of the alternative hypothesis is not the correct decision in this case.
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Find the equation of the line that passes through (1,4) and is parallel to 3 x + y + 2 = 0. Leave your answer in the form y = m x + c.
Answer:
\(y=-3x+7\)
Step-by-step explanation:
\(3x+y+2=0\\y+2=-3x\\y=-3x-2\\\\y=-3x+b\\4=-3(1)+b\\4=-3+b\\7=b\\\\y=-3x+7\)
Remember that the equation of a parallel line has the same slope but different y-intercept.
ab is tangent to circle o at a if ao=24 and bc=27 what is ab
Applying the tangent theorem and the Pythagorean theorem, the length of AB is 45 units.
What is the Tangent Theorem?According to the tangent theorem, a tangent will form a right angle with the radius of a circle at the point of tangency.
Tangents are perpendicular to the radius at the tangent point
Triangle ABO is therefore a right triangle.
AO = CO = 24 units
OC is also radius of circle O,
Therefore OC = 24
OB = OC + CB = 24 + 27 = 51
OB = √( OA² + AB²)
AB = √( OB² - OA²)
= √( 2601 - 576 )
= √2025 = 45
Therefore, the value of AB is 45.
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how can you describe performance relative to the whole class?
Performance relative to the whole class refers to an individual's academic achievement in comparison to the rest of their peers in a particular subject or course.
We describe performance relative to the whole class.
To do this, we'll be using the terms "average", "percentile rank", and "standard deviation".
Average:
Calculate the average performance of the whole class by adding all students' scores and then dividing by the number of students.
This will give you a baseline to compare individual performances against the class average.
Percentile Rank:
Determine the percentile rank of a student by calculating the percentage of students in the class who scored lower than them.
For example, if a student is in the 75th percentile, it means they performed better than 75% of the class.
Standard Deviation:
Calculate the standard deviation, which measures the spread of scores within the class.
A low standard deviation indicates that most students have similar performances, while a high standard deviation shows more variability in scores.
By considering these three factors, you can effectively describe a student's performance relative to the whole class. For example, you might say: "John scored above the class average, placing him in the 80th percentile with a moderate standard deviation, indicating that his performance is better than the majority of his classmates."
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Find the value of x that makes Triangle DEF~ triangle XYZ.
Answer:
x = 4
Step-by-step explanation:
DE / XY = EF / YZ
5 / 10 = 2x-1 / 14
cross-multiply:
10(2x-1) = 14(5)
20x - 10 = 70
20x = 80
x = 4
The ratio of their corresponding side will remain constant. Then the value of x is 4.
What is the triangle?Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
The two triangles are ΔDEF and ΔXYZ.
It is given that the ΔDEF and ΔXYZ are similar.
Then the ratio of their corresponding side will remain constant. That is
\(\rm \dfrac{5}{10} = \dfrac{2x -1 }{14} =\dfrac{11}{5x +2 }\)
From the first two, we have
\(\rm \dfrac{5}{10} = \dfrac{2x -1 }{14}\\\)
On simplifying, we have the value of x
x = 4
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Randy and two of his friends have rectangular desks of the exact same size. The sum of the perimeters of the 3 desks is 324 inches.
If the width of each of the desks is 30 inches, what is the length of each desk?
The length of each desk when the width of each of the desks is 30 inches is A. 24 inches.
How to calculate the length?From the information, Randy and two of his friends have rectangular desks of the exact same size and the sum of the perimeters of the 3 desks is 324 inches.
The perimeter for each desk will be:
= 324 / 3
= 108
The perimeter is calculated as:
= 2(length + width)
This will be
2(length + width) = 108
2(length + 30) = 108
2l + 60 = 108
Collect like terms
2l = 108 - 60
2l = 48
Divide
l = 48/2
l = 24
The length is 24 inches.
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Pls help me with this, thanks
Answer:
Choice D, the cube
Step-by-step explanation:
Select the statement that is false. A. x = 2 implies x ≤ 2. B. x < 2 implies that x ≤ 2. C. x < 2 implies that x ≥ 2. D. x=2 implies that x ≥ 2.
The false statement is C. x < 2 implies that x ≥ 2. This can be answered by the concept of Number system.
Let's break down each statement:
A. x = 2 implies x ≤ 2: This statement is true. If x is equal to 2, then x is certainly less than or equal to 2.
B. x < 2 implies that x ≤ 2: This statement is true. If x is strictly less than 2, then x is also less than or equal to 2.
C. x < 2 implies that x ≥ 2: This statement is false. If x is strictly less than 2, then it cannot be greater than or equal to 2 at the same time. This is a contradictory statement.
D. x = 2 implies that x ≥ 2: This statement is true. If x is equal to 2, then x is certainly greater than or equal to 2.
Therefore, the false statement is C. x < 2 implies that x ≥ 2.
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9. An art teacher asks a sample of students if they would be interested
in studying art next year. Of the 30 students he surveys, 81% are
already enrolled in one of his art classes this year. Only 11% of the
school's students are studying art this year. Did the teacher survey a
representative sample of the students in the school? Explain.
Answer:
No, the teacher did not survey a representative sample of the students in the school. The sample of 30 students that he surveyed had a much higher percentage of students already enrolled in art classes (81%) compared to the overall percentage of students in the school who are studying art (11%). This indicates that the sample may have been biased and not representative of the entire student population. In order to obtain a representative sample, the teacher should have taken steps to ensure that the sample of students he surveyed was representative of the overall student population in terms of characteristics such as enrollment in art classes, age, gender, and other relevant factors.
Which of the following best describes a triangle with one right angle and two congruent sides
Answer:
isosceles triangle
In ΔEFG, the measure of ∠G=90°, GF = 33, FE = 65, and EG = 56. What ratio represents the sine of ∠F?
Work Shown:
sin(angle) = opposite/hypotenuse
sin(F) = EG/FE
sin(F) = 56/65
Refer to the diagram below.
What is the measure of _____?
Answer:
95 degrees
Step-by-step explanation:
The sum of all the angles need to come to 360 degrees. We already have 2 90 degree angles, together 180 degrees. Subtract from 360 to get 180, so we know the other two angles together need to equal 180. x + x + 10 = 180
Add common terms, then subtract 10: 2x = 170
Divide by 2: x = 85
So angle F is 85 + 10, or 95 degrees.
SOMEONE PLEASE GIVE ALL THE ANSWERS I WILL GIVE ALL MY POINTS
Answer:
This is so cool.
Step-by-step explanation:
Oh my god.
A
Step-by-step explanation:
1. Analyze the following pattern: 1, 2, 5, 10, 17, ...
Part 1: Describe the pattern
Answer:
Step-by-step explanation: add 3 to 2, multiply 5 and 2 to get 10, add 5, 10, and 2 to get 17
Bert’s pizza contains x toppings.
Ernie’s pizza contains 4 times the number of toppings as Bert’s pizza.
The total number of toppings on the two pizzas is 15.
What is x, the number of toppings on Bert’s pizza?
Answer:
x=3
Step-by-step explanation:
x = number of toppings on berts pizza
Berts pizza has 1x toppings
Ernies pizza has 4x toppings
there are 15 toppings on both pizzas
x + 4x = 15 (combine like terms)-> 5x=15 (divide both sides by 5)-> x=3
(c) A non-uniform but spherically symmetric charge distribution has a charge density: rho(r)=rho 0
(1−r/R)
rho(r)=0
for r≤R
for r>R
where rho 0
=3Q/πR 3
is a positive constant. Show that the total charge contained in this charge distribution is Q. [4] Show that the electric field in the region r>R is identical to that created by a point charge Q at r=0 [2] Derive an expression for the electric field in the region r≤R. [5]
To show that the total charge contained in the charge distribution is Q, we integrate the charge density over the entire volume. The charge density is given by:
ρ(r) = ρ₀(1 - r/R) for r ≤ R,
ρ(r) = 0 for r > R,
where ρ₀ = 3Q/πR³.
To find the total charge, we integrate ρ(r) over the volume:
Q = ∫ρ(r) dV,
where dV represents the volume element.
Since the charge density is spherically symmetric, we can express dV as dV = 4πr² dr, where r is the radial distance.
The integral becomes:
Q = ∫₀ᴿ ρ₀(1 - r/R) * 4πr² dr.
Evaluating this integral gives:
Q = ρ₀ * 4π * [r³/3 - r⁴/(4R)] from 0 to R.
Simplifying further, we get:
Q = ρ₀ * 4π * [(R³/3) - (R⁴/4R)].
Simplifying the expression inside the parentheses:
Q = ρ₀ * 4π * [(4R³/12) - (R³/4)].
Simplifying once more:
Q = ρ₀ * π * (R³ - R³/3),
Q = ρ₀ * π * (2R³/3),
Q = (3Q/πR³) * π * (2R³/3),
Q = 2Q.
Therefore, the total charge contained in the charge distribution is Q.
To show that the electric field in the region r > R is identical to that created by a point charge Q at r = 0, we can use Gauss's law. Since the charge distribution is spherically symmetric, the electric field outside the distribution can be obtained by considering a Gaussian surface of radius r > R.
By Gauss's law, the electric field through a closed surface is given by:
∮E · dA = (1/ε₀) * Qenc,
where ε₀ is the permittivity of free space, Qenc is the enclosed charge, and the integral is taken over the closed surface.
Since the charge distribution is spherically symmetric, the enclosed charge within the Gaussian surface of radius r is Qenc = Q.
For the Gaussian surface outside the distribution, the electric field is radially directed, and its magnitude is constant on the surface. Hence, E · dA = E * 4πr².
Plugging these values into Gauss's law:
E * 4πr² = (1/ε₀) * Q,
Simplifying:
E = Q / (4πε₀r²).
This is the same expression as the electric field created by a point charge Q at the origin (r = 0).
To derive an expression for the electric field in the region r ≤ R, we can again use Gauss's law. This time we consider a Gaussian surface inside the charge distribution, such that the entire charge Q is enclosed.
The enclosed charge within the Gaussian surface of radius r ≤ R is Qenc = Q.
By Gauss's law, we have:
∮E · dA = (1/ε₀) * Qenc.
Since the charge distribution is spherically symmetric, the electric field is radially directed, and its magnitude is constant on the Gaussian surface. Hence, E · dA = E * 4πr².
Plugging these values into Gauss's law:
E * 4πr² = (1/ε₀) * Q.
Simplifying:
E = Q / (4πε₀r²).
This expression represents the electric field inside the charge distribution for r ≤ R.
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suppose that 3 fair die are tossed let ai be the event that a 6 shows on the ith die i = 1 2 3 does the p(a1 u a2 u a3 ) = 1/2
The probability of at least one 6 showing on any of the three dice is 91/216, which is not equal to 1/2. Therefore, the answer to the question is no, P (A1 U A2 U A3) does not equal 1/2.
The probability of an event A happening, P(A), is the number of ways that A can occur divided by the total number of possible outcomes. In this case, we want to find the probability of at least one 6 showing on any of the three dice, which is represented by P(A1 U A2 U A3).
We can use the formula P(A1 U A2 U A3) = P(A1) + P(A2) + P(A3) - P(A1 ∩ A2) - P(A1 ∩ A3) - P(A2 ∩ A3) + P(A1 ∩ A2 ∩ A3) to find the probability of at least one 6 showings.
Each die has 6 possible outcomes, so the probability of getting a 6 on any one die is 1/6. The probability of getting a 6 on two dice is (1/6)*(1/6) = 1/36, and the probability of getting a 6 on all three dice is (1/6)*(1/6)*(1/6) = 1/216.
Plugging these values into the formula, we get:
P(A1 U A2 U A3) = (1/6) + (1/6) + (1/6) - (1/36) - (1/36) - (1/36) + (1/216) = 91/216
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HEEEEELP I IS TTTTTTIIIIIMMMMMEEEEEDDDD
What is the shape of the cross section of the figure that is perpendicular to the triangular bases and passes through a vertex of the triangular bases?
A triangular prism.
a parallelogram that is not a rectangle
a rectangle
a triangle that must have the same dimensions as the bases
a triangle that may not have the same dimensions as the bases
Answer:
b
Step-by-step explanation:
Answer:
I dink Bs
Step-by-step explanation:
Can somebody help me out my grade are bad
Answer:
3, 2, 6
Step-by-step explanation:
from left, top, and bottom
Answer:
2/6
Step-by-step explanation:
Convert 1/2 to something similar to 1/6
1 times 3 is 3
2 times 3 is 6
so now do 3/6 -1/6
Dont change the denominator at all, just subtract the numerator. By doing that you get 2/6
The lines r: x+3=0 and s: y-2=0 intersect at a point P.
a) Determine the coordinates of point P.
b)What is the distance of P from the origin?
Answer:
(-3,2)
Step-by-step explanation:
The given Equations of lines are ,
\(\implies x + 3 = 0 \)
\(\implies y -2 = 0 \)
On plotting the graph of the given two equations we will get that the two lines will intersect each other at a point and that point will be the solution of the system of equation. On drawing a graph ,
On looking at graph , Point P will be ,
\(\implies Solution = P(-3,2) \)
Given the supply of a commodity, x, and the price of a commodity, y, would you expect a positive correlation, a negative correlation, or no correlation?
A. no correlation
B. positive correlation
C. negative correlation **
The expected correlation between the supply of a commodity (x) and the price of a commodity (y) depends on the nature of the commodity and market dynamics. However, in general, we would expect a **negative correlation** between the supply of a commodity and its price. Correct option is C.
The law of supply states that as the supply of a commodity increases, assuming demand remains constant, the price tends to decrease. This is because an increase in supply leads to a higher quantity of the commodity available in the market, potentially causing an excess supply or surplus. In such situations, suppliers may lower prices to attract buyers and reduce their inventory.
Conversely, when the supply of a commodity decreases, assuming demand remains constant, the price tends to increase. A decrease in supply results in a lower quantity available in the market, potentially leading to a scarcity or shortage. In such scenarios, suppliers may increase prices to maximize their profits due to the limited availability of the commodity.
It's important to note that real-world markets can be influenced by various factors, including changes in demand, production costs, technological advancements, government policies, and market competition, which can complicate the relationship between supply and price. Nonetheless, the general expectation is that a decrease in supply tends to lead to an increase in price, and an increase in supply tends to lead to a decrease in price, indicating a negative correlation.
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Find the midpoint of (-4,3) and (-11,-3)
If the allele frequency of the dominant allele is 0.4, what value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1?
The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.
According to the statement
we have given that the allele frequency of the dominant allele is 0.4, and we have to find that the value of p^2 in the equation p^2+ 2pq + q^2 = 1.
So, For this purpose, we know that the
The allele frequency represents the incidence of a gene variant in a population. Alleles are variant forms of a gene that are located at the same position, or genetic locus, on a chromosome.
And here
allele frequency is the 0.4 and represent the value of P.
So, The value of p is 0.4 and the
Then p^2 = (0.4)^2
so, the value becomes
p^2 = (0.4)^2
p^2 = 0.16.
So, The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.
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The sum of two polynomials is –yz2 – 3z2 – 4y 4. if one of the polynomials is y – 4yz2 – 3, what is the other polynomial? –2yz2 – 4y 7 –2yz2 – 3y 1 –5yz2 3z2 – 3y 1 3yz2 – 3z2 – 5y 7
Polynomial are expression that have a leading degree of 3. The other polynomial function will be 3yz^2 – 3z^2 – 4y^4 - y + 3
Difference of polynomialsPolynomial are expression that have a leading degree of 3. Given the following expression
Sum = –yz^2 – 3z^2 – 4y^4.
One of the polynomial = y – 4yz^2 – 3
Required
The other polynomial
Let the unknown polynomial be "a" such that:
a = –yz^2 – 3z^2 – 4y^4 - (y – 4yz^2 – 3)
Expand
a = –yz^2 – 3z^2 – 4y^4 - y + 4yz^2 + 3
a = 3yz^2 – 3z^2 – 4y^4 - y + 3
Hence the other polynomial function will be 3yz^2 – 3z^2 – 4y^4 - y + 3
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Answer: D. or 3yz^2-3z^2-5y+7
Step-by-step explanation: got it right on edge