Answer: C
Step-by-step explanation:
We know the total sample size is 2 + 3 + 3 + 5 = 13 people.
So the median is at the (13+1)/2 = 7th person.
We can see this person lies in the interval of 10-15, so that's our answer.
Fill in the P (X=x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -3, 1, 3, 5, and 6.
P(X=x)
-3: 0.14
1:
3: 0.13
5: 0.30
6:
These are a legitimate probability distribution:
P(X=-3) = 0.14P(X=1) = 0.1P(X=3) = 0.135P(X=5) = 0.306P(X=6) = 0.319How to determine legitimate probability distribution?To have a legitimate probability distribution, the probabilities for all possible values of X must satisfy two conditions:
Each probability value must be between 0 and 1, inclusive.
The sum of all probability values must equal 1.
Check if the given probabilities satisfy these conditions:
P(X=-3) = 0.14 (valid)
P(X=1) = 0.1 (valid)
P(X=3) = 0.135 (valid)
P(X=5) = 0.306 (valid)
Now, calculate the remaining probability to check if it satisfies the second condition:
P(X=6) = 1 - (P(X=-3) + P(X=1) + P(X=3) + P(X=5))
P(X=6) = 1 - (0.14 + 0.1 + 0.135 + 0.306)
P(X=6) = 1 - 0.681
P(X=6) = 0.319
Since the calculated probability is valid (between 0 and 1), There is a legitimate probability distribution for the discrete random variable X:
P(X=-3) = 0.14
P(X=1) = 0.1
P(X=3) = 0.135
P(X=5) = 0.306
P(X=6) = 0.319
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use the following formula to solve the following quadratic equation 2x^+7a=15
Answer:
Hope this helps pls mark me Branliest
Step-by-step explanation:
that's my answer
Pic includes all informatin
Answer: 8squares
Step-by-step explanation:
When planning a more strenuous hike, Erin figures that she will need at least 0.8 liters of water for each hour on the trail. She also plans to always have at least 1.50 liters of water as a general reserve. If x represents the duration of the hike (in hours) and y represents the amount of water needed (in liters) for a hike, the following inequality describes this relation: y greater or equal than 0.8 x plus 1.5
Answer:
the inequality y ≥ 0.8x + 1.5 accurately describes the relation between the duration of the hike (x) and the amount of water needed (y). This inequality means that for any duration of the hike (x), the amount of water needed (y) must be greater than or equal to 0.8x + 1.5.
Answer:
Step-by-step explanation:
3 liters of water for 4 hours of hiking.
Find the y intercept of the linear equation y + 1 = 4/3x
Answer:
b=-1
Explanation:
Given the linear equation
\(y+1=\frac{4}{3}x\)The y-intercept of the function is the value of y when x=0
\(\begin{gathered} \text{When x=0} \\ y+1=\frac{4}{3}x \\ y+1=0 \\ y=-1 \end{gathered}\)The y-intercept of the linear function is -1.
Skip and Jena are selling raffle tickets to raise money for new basketball uniforms. Skip sold 2 tickets for every 7 tickets that Jena sold. If Jena sold 63 tickets how many did Skip sell? Use a double number line and equivalent ratios to justify your answer. please use a double number line to show your work
Answer:
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Answer:
Let J represent the number of tickets Jose sells. Let M represent the number of tickets Mark sells. Make equations, if Mark sells 15 more tickets than Jose, the equation is J+15=M. Because we know that in between both of them they sell 63 raffle tickets, then M+J=63. Now plug in the value of M (J+15) into M+J=63. And you get (J+15)+J=63, which is 2J+15=63. Subtract 15 from both sides and get 2J=48. Now divide 48 by 2, J=24. So now you know Jose sold 24 tickets, and to find how many Mark sold, plug in 24 into J+15=M and get 24+15=M where M is 39. Now check, 24+39=63. So Mark sold 39 tickets and Jose sold 24.
Step-by-step explanation:
Lily drew 9 hearts and 20 circles what is the ratio of circles to all shapes
Answer:
20:29
Step-by-step explanation:
Add number of hearts and circles to get total shapes.
Make sure the word placement of the ratio matches the numbers. So circles to all shapes.
20:29
circles : total shapes
Answer:
MY ANSWER IS 20 :9
BECAUSE THIS QUESTION SAID THAT LILY DREW 9 HEARTS AND 20 CIRCLES WHAT IS THE RATIO OF CIRCLES TO ALL SHAPES ?SO MY ANSWER IS 20:9
Step-by-step explanation:
BECAUSE IT SAID RATIO
MARK ME BRAINLIEST
Mr. Borden also asked his students, How do you get to school each day ? Is this question statistical? Explain.
Answer:
That question is statistical because there can be multiple answers such as, biking, walking, carpooling, and taking a bus.
Step-by-step explanation:
PLEASE HELP I REALLY NEED IT PLEASEEEE
what is the geometric sequence mean of 2 and 8
Answer:
4
Step-by-step explanation:
If you multiply 2 and 8, then take the square root, the answer is 4
According to your graphing calculator, what is the approximate solution to the trigonometric inequality cos(0.65x)>.44 over the interval 0
Answer:
the solution to the trigonometric inequality cos(0.65x) > 0.44 over the interval 0 ≤ x < 4.834.
Step-by-step explanation:
The given inequality is:
cos(0.65x) > 0.44
To solve this inequality, we need to isolate the variable x.
First, let's take the inverse cosine (arccos) of both sides to remove the cosine function:
arccos(cos(0.65x)) > arccos(0.44)
Since the range of the inverse cosine function is limited to [0, π], we can rewrite the inequality as:
0 ≤ 0.65x < π
Now, let's solve for x by dividing each part of the inequality by 0.65:
0/0.65 ≤ x < π/0.65
Simplifying, we have:
0 ≤ x < π/0.65
Now, let's calculate the approximate value of π/0.65 to determine the interval for x:
π/0.65 ≈ 4.834
i hope i helped!
A company uses the graph to show how many packages each truck driver delivers .How many packages will one truck driver deliver in a 7-hour day?
The truck driver would deliver 105 packages in a 7 hours day
What is an equation?An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.
Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:
y - 15 = [(60-15)/(4-1)](x - 1)
y = 15x
For a 7 hour day (x = 7):
y = 15(7) = 105
The driver would deliver 105 packages in 7 hours
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A researcher examines the records of all registered voters in one city and finds that 43% are registered democrats. Is the evaluated group a population or a sample?
Answer: Population
Step-by-step explanation: Population is refers to the whole or entire members or of a given set. This is different from a sample which is used to refer to members of a subset (a subset is a certain portion or fraction of an entire set). In the scenario above, since the evaluation was based on the entire number of registered voters in the country, this means we are referring to a population. The inference about the percentage of democratic voters was drawn from a pool of all the entire number of registered voters available in the country and not from a certain subset or portion of registered voters. Hence, the evaluated group is a population.
Is 9 a solution to the equation: 3x – 5 = 4 + 2x?
Answer:
Yes, 9 will be the answer...
Step-by-step explanation:
3x-5 =4+2x
3x-2x = 4+5 (By transposing method)
x =9
Hope this is correct
Answer:
yeah it is ,
putting the value of x as 9
=> 3x – 5 = 4 + 2x
=> 3×9-5=4+2×9
=> 27-5 = 4+18
=> 22 = 22
✌️
Cierto turista contrata un paquete de viaje internacional a un costo
de 720 dólares, pero también recibe la información, que si desea
tours extras a los que contiene su paquete de viaje le costará 35
dólares por cada tour adicional. Determinar ¿Cuál es la función de
inversión del turista?
The tourist's investment function can be expressed as follows:
f(x) = 720 + 35x
According the question,
The tourist's investment function can be expressed as follows:
f(x) = 720 + 35x
Where x represents the quantity of additional tours that the tourist wants to add to their travel package.
The function f(x) represents the total cost of the travel package plus the additional cost of the extra tours.
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Choose the correct graph of the function
Alex made $28.74 for three hours of work at his job at the pet store . If he works a total of 40 hours in one week , how much money would he make before taxes are taken from his paycheck
Answer:
$383.20
Step-by-step explanation:
28.74 ÷ 3 = $9.58 per hour
9.58 x 40 = 383.20
AABC has vertices A(8,9), B(10, 3), C(3, 4). Show that median CM is also an altitude.
It is proved that median CM is also an altitude of triangle ABC.
What is altitude?A perpendicular line from a triangle's vertices to one of its opposing sides can be used to calculate the triangle's altitude. The base and the altitude combine to produce a right-angle triangle, which is frequently referred to as the triangle's height.
Find the coordinates of M
Given coordinates of A(8,9), B(10,3) and C(3,4)
We know, M the is midpoint of AB.
So,
M(x,y) = \(\frac{8+10}{2} , \frac{9+3}{2}\)
M(x,y) = (9,6)
Using distance formula,
AM = \(\sqrt{(9-8)^2+(6-9)^2}\)
AM =\(\sqrt{1+9}\)
AM = \(\sqrt{10}\).
Now,
AC = \(\sqrt{(8-3)^2+(9-4)^2}\)
AC = \(\sqrt{25+25}\)
AC = \(\sqrt{50}\)
Now,
CM = \(\sqrt{(9-3)^2+(6-4)^2}\)
CM = \(\sqrt{36+4}\)
CM= \(\sqrt{40}\)
Apply Pythagoras' theorem in triangle AMC
AC² = AM² + CM²
\(\sqrt{50^{2} } = \sqrt{10^{2}} + \sqrt{40^{2}\)
50 = 10 + 40
50 = 50
Hence, CM is an altitude.
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Nao and Arban drive to work.
Nao drives 95 miles in 2.5 hours.
Arban drives 128 km in 1 hour 15 min.
Work out the difference between their average speeds in km/h.
1 mile = 1.6 km
Thank You.
Answer:
41.6 km/h
Step-by-step explanation:
Nao drives 95mi/2.5hr or 38 miles per hour, or 60.8 km/h
1 hr 15 min is the same as 1.25 hours
Arban drives 128km/1.25hr or 102.4 km/h
The difference is 102.4-60.8 = 41.6
Coordinate Proof!
Given: Isosceles ∆ABC; M is the midpoint of AC-.
Prove: area ∆ABM = area ∆CBM
Proof
AM = √(x₂ − x₁)² + (y₂-y₁)²
= √(4-0)² + (0-0)²
= √4² = _
BM = √(x2-x₁)² + (1₂-y₁)²
= √(4-4)² + (6-0)2
= √6² = _
AM- ≅ CM- ____
AM = CM ____
CM = 4. Subst.
area ∆ABM
A = 1/2 bh
= 1/2 ___
= ___
area ∆CBM
A = 1/2 bh
= 1/2 ___
= ___
Therefore: Area ∆ABM = area ∆CBM by ___
The completed calculation with regards to the area of the congruent triangles can be presented as follows;
The distance formula indicates;
AM = √((x₂ - x₁)² + (y₂ - y₁)²)
Therefore, we get;
AM = √((4 - 0)² + (0 - 0)²) = √(4²)
AM = √(4²) = 4
BM = √((x₂ - x₁)² + (y₂ - y₁)²)
BM = √((4 - 4)² + (6 - 0)²) = √(6²)
BM = √(6²) = 6
AM ≅ CM Definition of the midpoint of AC
AM = CM Definition of congruent segments
CM = 4 Substitution property
Area ΔABM
A = (1/2)·b·h
= (1/2) × 4 × 6
= 12
Area ΔCBM
A = (1/2)·b·h
= (1/2) × 4 × 6
= 12
Therefore Area ΔABM = area ΔCBM by congruence
What are congruent triangles?Triangles are congruent if they have the same size and shape.
The details of the reasons for the calculation steps and values are presented as follows;
Definition of midpoint of a segment
The midpoint of a line segment is the point that divides the segment into two parts of the same length
Definition of congruence?
Congruence refers to the existence of compatibility or harmony between objects, which in geometry indicates that the two geometric figures have the same measurement
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Solving systems of inequalities
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
y < 6x + 9 eq. 1
Step 02:
systems of inequalities
y > 6x + 7 eq. 1
<9
Graph
y = 6x + 9 eq. 2
Unlimited/Infinite solutions
The answer is:
(-4 , 32)
(3 , 25)
\(f(x)= √x + 10\) find inverse of f(x) and its domain
The inverse function is g(x) = x² - 10, and the domain is the set of all real numbers.
How to find the inverse of the function?Two functions are inverses if the composition between them is equal to the identity (so it is equal to x)
So, if g(x) is the inverse function, then we must have that:
f(g(x)) = x
√(g(x) + 10) = x
g(x) + 10 = x²
g(x) = x² - 10
That is the inverse, and this is a quadratic function, so the domain is the set of all real numbers.
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Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. A pollster contacts 89 people in the 18-21 age bracket and finds that 76 of them respond and 13 refuse to respond. When 292 people in the 22-29 age bracket are contacted, 274 respond and 18 refuse to respond. Assume that 1 of the 381 people is randomly selected. Find the probability of getting someone in the 18-21 age bracket or someone who refused to respond.
the probability of gtting someone in the 18- 21 age bracket on someone who agreed to respond = 86/341 = 1/A an pencentage = 1/4 x 100 = 25
Hope it helps
Add: 2.32 + 71.4 +0.003
Answer:
the answer is 73.723, of course that's with out rounding
Answer:
73.723
Step-by-step explanation:
no need for an explanation its just addition
A marching band performs on the football field at half-time. As they perform, the members of the band stand in
the shape of a sinusoidal function. While playing, they move, but still maintain the sinusoidal function,
transforming it in different ways.
Darla is a member of the marching band. As the band begins to play she is positioned in the exact center of the
field. The person closest to her on the same horizontal line, stands 10 yards away. The sinusoidal function
extends to the ends of the playing field.
The playing area of football field measure 300 feet by 160 feet. Place the playing area of a football field on the
coordinate plane such that the origin is the lower left comer of the football field.
(Score for Question 1: of 2 points)
1. What is the period and the amplitude of the sine function representing the position of the band members as
they begin to play?
Answer.
The period of the sine function representing the position of the band members is 60 feet, and the amplitude is approximately \(170.3 feet.\)
What is the coordinate plane?Since the band members are standing in the shape of a sinusoidal function, we can assume that their positions can be represented by the equation:
\(y = A sin(Bx)\)
where y is the vertical position of a band member, x is the horizontal position on the field, A is the amplitude, and B is the period.
Since Darla is positioned in the exact center of the field, and the person closest to her on the same horizontal line stands 10 yards away, we can assume that the sinusoidal function has a phase shift of 0. This means that the midline of the function passes through the point (0, 0).
To find the amplitude, we need to determine the maximum and minimum heights of the function.
Since the playing area of the football field measures 300 feet by 160 feet, the distance between the two farthest points on the field is the diagonal distance, which can be calculated using the Pythagorean theorem:
\(sqrt(300^2 + 160^2) \approx 340.6 feet\)
Since the distance between the farthest points on the field is equal to the distance between two peaks or two valleys of the sinusoidal function, the amplitude is half of this distance:
\(A = 340.6/2 \approx170.3 feet\)
To find the period, we can use the fact that the distance between two consecutive peaks or valleys is equal to the period of the function.
Since the person closest to Darla stands 10 yards away, or 30 feet away, we can assume that this person is standing at a peak or a valley of the function. This means that the period is twice the distance between Darla and the person closest to her:
\(P = 2(30) = 60 feet\)
Therefore, the period of the sine function representing the position of the band members is 60 feet, and the amplitude is approximately \(170.3 feet.\)
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The graph of the quadratic function y=-x^2-2x+3.What statement about the graph is true.select all that apply.
Answer:
the graph has an x intercept at 1, 0 has a vertex of -1,4 axis of symmetry x = -1 relative min of -1, 4has the roots of 3 and 1see if you can answer this
Abdul's average speed is 30 mph in heavy traffic, and his average speed is 60 mph in light traffic. If he was in heavy traffic for 1 hour and light traffic for 3 hours, how far did Abdul travel?
A.
48 miles
B.
210 miles
C.
90 miles
D.
270 miles
Answer:
210
Step-by-step explanation:
add 30 with 60 multiplied by 3
What is 600 minus 258?
Answer:
342
Step-by-step explanation:
Answer:
342
Step-by-step explanation:
600 - 258 = 342
Note:
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Joyce saved $220 on an item that was 75% off what was the original price
Answer:
$880
Step-by-step explanation:
Use the equation:
\(P=(1-d)x\) with d being the discount in a decimal form, and P being the price that was bought at.
220=(1-0.75)x
simplify parenthesis terms
220=0.25x
divide both sides by 0.25
880=x
So, the original price was $880.
Hope this helps! :)