Answer:
0.25
0.65
Step-by-step explanation:
Looking at the question, we can see that we were not given the probability of selecting a yellow ball.
Hence the probability of this is;
1-0.35-0.4 = 1-0.75 = 0.25
The probability that the selected ball is yellow is 0.25
The probability that it is not red means it is either yellow or green
What this means is that we add the probability of yellow to the probability of green
= 0.25 + 0.4 = 0.65
Problem 10.084 An article in Knee Surgery, Sports Traumatology, Arthroscopy (2005, Vol. 13, pp. 273-279), considered arthroscopic meniscal repair with an absorbable screw. Results showed that for tears greater than 25 millimeters, 14 of 17 repairs were successful while for shorter tears, 22 of 31 repairs were successful. (a) Is there evidence that the success rate is greater for longer tears? Use alpha equals 0.05 . What is the Upper P -value?
Answer:
The p-value = 0.181186
The p-value is greater than the significance level at which the test was performed, hence, we fail to reject the null hypothesis & say that there isn't enough evidence to suggest that the success rate of repair of longer tears is greater than the success rate of repair of shorter tears.
Step-by-step explanation:
This is a two-sample hypothesis test as we want to test the whether the success rate for one group of tears is more than the other
For hypothesis testing, the first thing to define is the null and alternative hypothesis.
In hypothesis testing, especially one comparing two sets of data, the null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test. It usually maintains that, with random chance responsible for the outcome or results of any experimental study/hypothesis testing, its statement is true.
The alternative hypothesis usually confirms the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test. It usually maintains that significant factors other than random chance, affect the outcome or results of the experimental study/hypothesis testing and result in its own statement.
For this question where we are testing if the success rate of longer tears is greater than the success rate of shorter tears,
The null hypothesis is that there is no significant difference in the success rate for the two types of tears. That is, there isn't enough evidence to suggest that the success rate of longer tears is greater than the success rate of shorter tears.
The alternative hypothesis is that there is enough evidence to suggest that the success rate of longer tears is greater than the success rate of shorter tears.
Mathematically, if the success rate of longer tears is p₁, success rate of repair of shorter tears is p₂. And the difference between the two success rates is μ = p₁ - p₂,
The null hypothesis is represented as
H₀: μ = 0 or p₁ = p₂
The alternative hypothesis is represented as
Hₐ: μ > 0 or p₁ > p₂
We then calculate the test statistic
The test statistic for two samples test is given as
t = (p₁ - p₂)/σ
σ = √{[p₁(1-p₁)/n₁] + [p₂(1-p₂)/n₂]}
p₁ = success rate of repair of longer tears = (14/17) = 0.8235
n₁ = 17
p₂ = success rate of repair of shorter tears = (22/31) = 0.7097
n₂ = 31
σ =
√{[0.8235(1-0.8235)/17] + [0.7097(1-0.7097)/31]}
σ = √[(0.8235×0.1765/17) + (0.7097×0.2903/31)]
= √(0.0085498676 + 0.0066459971)
= √0.0151958647 = 0.1232715081 = 0.1233
t = (p₁ - p₂)/σ
t = (0.8235 - 0.7097)/0.1233
t = 0.92
checking the tables for the p-value of this t-statistic
Degree of freedom = df = n₁ + n₂ - 2 = 17 + 31 - 2 = 46
Significance level = 0.05
The hypothesis test uses a one-tailed condition because we're testing only in one direction.
p-value (for t = 0.92, at 0.05 significance level, df = 46, with a one tailed condition) = 0.181186
The interpretation of p-values is that
When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.
So, for this question, significance level = 0.05
p-value = 0.181186
0.181186 > 0.05
Hence,
p-value > significance level
This means that we fail to reject the null hypothesis & say that there isn't enough evidence to suggest that the success rate of repair of longer tears is greater than the success rate of repair of shorter tears.
Hope this Helps!!!
PLEEEEEEEEEEEASE HELP
The function f(n) represents an arithmetic sequence where the first term is 5 and each term increases by 5. What is f(8)?
Step-by-step explanation:
5f
5 + n times of a number
PLS ANSWER FOR BRANINETEST
Answer:
3(3/7)
Step-by-step explanation:
Just by doing the math.
Sam is baking cakes at her parents' bakery. She gets paid $20 a week in addition to $5 for every cake she bakes. She made $50 this week. Write an equation to show how many cakes Sam baked this week. 20 − 5x = 50 50 + 5x = 20 20 + 5x = 50 50 − 5x = −20
Answer:
20 + 5x = 50
Step-by-step explanation:
Let the number of cakes Sam baked this week be x
Total amount he received this week = $50
Amount he receives each week = $20
Amount he receives for baking one cake = $5
Amount he would receive for baking x cakes = $5x
Equation: 5x + 20 = 50
Answer:
20 + 5x = 50
Step-by-step explanation:
Let x be the number of cakes
Amount paid per cake = $5
Amount paid for "x" cakes = 5*x = 5x
Basic payment per week = $20
Amount paid that week = 20 + 5x
20 + 5x = 50
*WILL MARK BRAINLIEST* What solutions to the system of equations graphed below?
Answer:
(-2, 0) and (0, 4)
Step-by-step explanation:
The solutions are the intersection points. The graphs intersect at points (-2, 0) and (0, 4)
find the surface area of sphere please help me i’ll give u brainlest
Answer:
[tex]Surface Area = 84.9 cm^2[/tex]
Step-by-step explanation:
Surface Area = [tex]4\pi r^2[/tex]
Putting r = 2.6 cm
SA = 4(3.14)(2.6)²
SA = 4(3.14)(5.76)
SA = 84.9 cm²
Answer:
[tex]2.6^{2} \times \pi \times 4 = 84.9[/tex]
I NEED HELP PLEASE, THANKS! :)
Answer: b) increasing for x < -4/3 and x > 4/3
decreasing for -4/3 < x < 4/3
Step-by-step explanation:
Graph the equation and the follow the curve from left to right. When you are going up, it is increasing. When you are going down, it is decreasing.
see the image below. Red is increasing. Blue is decreasing.
The vertices occur when x = -4/3 and x = 4/3
-5(x - 1) = 2x - 7x + 5
Answer:
This is true! 1x=1
Step-by-step explanation:
So let's rewrite the question again.
-5(x - 1) = 2x - 7x + 5
So we will solve from left to right.
-5(x-1) <- In here, we cannot add a variable to a whole number. So, we simply multiply -5 by x and -1.
-5(x - 1) = -5x+5
2x - 7x + 5 <- Here, we can subtract 2x-7x. They are both variables. But, we cannot add 5 to a variable.
2x - 7x + 5 = -5x+5
Now, here is the equation that we have so far.
-5x+5 = -5x+5
+5x +5x
----------------------
5=5
-5 -5
0=0
So in here, we can have anything. 1, 2, 3, 4, 5, 6, 100, anything. So, the answer is:
All Real Numbers
8−4(−x+5) A: 4x-12 B: -4x- 12 C: 4x + 13 D: 4x + 5
Step-by-step explanation:
8-4(-x + 5)
8 + 4x - 20
4x - 12
The surface area of a sphere with a diameter of 12 units is:
Answer:
Surface area of sphere = 4πr²
r = radius
radius = diameter /2
= 12/2
= 6units
Surface area = 4π×6²
= 144π
= 452.4 square units
Hope this helps.
A square forms a semi-regular tessellation with which of the following regular polygons?
A. Trapezoid and hexagon
B. Pentagon and hexagon
C.equilateral triangle and hexagon
D. equilateral triangle and trapezoid
Answer:
a:is the answer good luck men
Answer:
Equilateral Triangle and Hexagon
Step-by-step explanation:
Am Supreme Ruler.
Which value of n makes the equation true? -1/2n = -8
A.) -16
B.) -4
C.) 4
D.) 16
Answer:
D
Step-by-step explanation:
When we divide the entire equation by -1/2 to get rid of the coefficient of n we get n = 16.
Answer:
D.) 16
Step-by-step explanation:
Solve for n:
-n/2 = -8
Multiply both sides of -n/2 = -8 by -2:
(-2 (-n))/2 = -2 (-8)
-2×(-1)/2 = (-2 (-1))/2:
(-2 (-1))/2 n = -2 (-8)
(-2)/2 = (2 (-1))/2 = -1:
--1 n = -2 (-8)
(-1)^2 = 1:
n = -2 (-8)
-2 (-8) = 16:
Answer: n = 16
Find the of this circle in terms of pi
Answer: π / 4
Step-by-step explanation:
Area of a circle = π x r^2
= π x 0.5^2
= π / 4
Answer:
A = 0.25 π m²
Step-by-step explanation:
Area = [tex]\pi r^2[/tex]
Where r = 0.5 m
A = (0.5)^2 × π
A = 0.25 π m²
Mr Frank purchased 5_1/4 pounds of rocks. He used 3/5 of a pound on one aquarium. He then split the rest of the rocks between his three remaining aquariums. How many rocks will be in one aquarium?
Answer:
1_11/20 pounds, or 1.55 pounds.
Step-by-step explanation:
Since at the beginning, he had 5 1/4 pounds and used 3/5, we subtract the amount of pounds. We are then left with 93/20 pounds, which he then splits among 3 containers. Dividing by three, we then get 31/20 pounds in one aquarium, or 1 11/20 pounds in each aquarium or 1.55 pounds.
5.
The total length of 2 pieces of rope is
108cm. If one piece is 18cm shorter, what is
the length of the longer piece?
Answer:
63 cm
Step-by-step explanation:
piece 1: x
piece 2: x - 18
First you would subtract 2x - 18 = 108
Second you would add 108 + 18 = 2x
Third you would divide 126 divided by 2x = 63
So that would mean x = 63
Answer:
63cm
Step-by-step explanation:
2 pieces of rope, and one is shorter by 18cm.
piece 1: x
piece 2: x-18
Add the equations together, combine both pieces
2x-18
2x-18 = 108
108+18 = 2x
126 = 2x
x = 63
Sylvie finds the solution to the system of equations by graphing.
y =2/3x + 1 and y = -2/3x-1. Which graph shows the solution to Sylvie's system of equations?
Answer:
The third graph is your answer.
Step-by-step explanation:
I included a graph below with the correct graphing.
En comsumo combustible de u camion durante un dia de viaje es el 21,77 litros ,el consumo del siguiente dia es de 15,22 litros¡cuanto combustible consumio el camion en total
Answer:
36.99 litros de combustible.
Step-by-step explanation:
En este problema debemos calcular el combustible total de consumió el camión, para eso debemos sumar el valor que consumió el día 1 más el valor que consumió el día 2, de la siguiente manera:
Consumo total = Consumo día 1 + Consumo día 2
Consumo total = 21.77 + 15.22
Consumo total = 36.99
Es decir que el consumo total del camión es de 36.99 litros de combustible.
What is the scale factor of the dilation?
1/5
2/5
5/2
5/1
Answer:
C. 5/2
Step-by-step explanation:
A'B'/AB = 5/2
What is the decimal multiplier to decrease by 1.7%?
Answer:
0.983
Step-by-step explanation:
100(0.983)=98.3
Answer:
[tex]0.983[/tex]
Step-by-step explanation:
[tex]\frac{100-17/10}{100}[/tex]
[tex]\frac{100-1.7}{100}[/tex]
[tex]=0.983[/tex]
The sequence -11, -5, 1...... is an arithmetic
progression. State the three consecutive terms of
this arithmetic progression where the sum of
these three terms is 93.
Answer:
25, 31, 37
Step-by-step explanation:
1 2 3 4 5 6 7 8 9 10
-11 -5 1 7 13 19 25 31 37 43
6 6 6 6 6 6 6 6 6
25 + 31 + 37 = 93
BRAINLIEST!!!!!!BRAINLIEST!!!!BRAINLIEST!!!!BRAINLIEST!!!BRAINLIEST!!!!!BRAINLIEST!!!!BRAINLIEST!!!!BRAINLIEST !!!!!!!
Answer:
answer D
Step-by-step explanation:
let s estimate the D.
(2x+5) is a common factor so we can write
[tex](2x+5)(3x^2+(-5x)+(-4)) = (2x+5)(3x^2-5x-4)[/tex]
and this is the expression of the question
hope this helps
The correct answer would be D
Hope this helps! :)
Which of the binomials below is a factor of this trinomial?
X2-16x + 28
O A. x+7
O B. x2 + 7
O c. x+4
O D. X-14
Answer:
x-14
Step-by-step explanation:
The binomial which is a factor of this trinomial is (x- 14).
What is Trinomial?An algebraic expression with three terms is called a trinomial.
Examples of a trinomial expression: x + y + z is a trinomial in three variables x, y and z.
Given:
p(x) = x²-16x + 28
If x+ a is factor of any polynomial p(x) then x= -a satisfy the polynomial.
factorizing p(x)
x²-16x + 28
= x²-14x + 2x + 28
= x( x- 14) + 2 (x+ 14)
= (x- 14)(x+ 2)
Hence, the binomial is (x- 14).
Learn more about Trinomial here:
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a hunter observes that the interval between a lightning flash and thunder clap that followed is 15 beat of his pulse. If his pulse rate is 75 per minute and sound in air is 330m/s, how far is the thunderstorm
Answer:
3600 m or 3.6 km
Step-by-step explanation:
The first thing is to take into account that the pulse rate is equal to 75 per minute, or what is the same as 75 beats per 60 seconds, then we must know how many seconds would be 15 beats:
15 beats * 60 seconds / 75 beats = 12 seconds
Therefore, we know that the velocity is equal to:
v = d / t
We know the time and the speed, therefore:
d = v * t
replacing
d = 300 * 12
d = 3600
is located at 3600 meters or 3.6 km
What is the product?
1
12
64
2
78
30
6
32
78 30
6
64
78 30
6
32
39
15
6
64
39 30
Answer:
9.3526131e+34
Step-by-step explanation:
112*642=71904*4948560=355821258240*7830*664=1.8499574e+18*7830*632=9.1546252e+24*3915*664=6.7577122e+12*3930=2.6557809e+16=9.3526131e+34
Answer:
Answer:
9.3526131e+34
Step-by-step explanation:
112*642=71904*4948560=355821258240*7830*664=1.8499574e+18*7830*632=9.1546252e+24*3915*664=6.7577122e+12*3930=2.6557809e+16=9.3526131e+34
The figure shows the dimensions of a wall having a door and window of a room. Write an algebraic expression for the area of the wall to be painted. PLEASE FAST
Answer:
Area of the wall to be painted = (11x² + 12x) square units
Step-by-step explanation:
The figure that should be attached to this question is missing. The figure was obtained and is attached to this solution provided.
From the image attached, it is given that the dimension of the rectangular wall to be painted is (4x+3) by (4x), the dimensions of the window is (2x) by (x) and the dimensions of the door is (x) by (3x).
Since, the window space and the door space cannot be painted along with the wall, the Area of the rectangular wall that will be painted will be given by the expression
(Total Area of the rectangular wall) - [(Area of window space) + (Area of door space)]
Area of a rectangular figure = Length × Breadth
Total area of rectangular wall = (4x+3) × 4x = (16x² + 12x) square units
Area of window space = (2x) × (x) = (2x²) square units
Area of door space = (x) × (3x) = (3x²) square units
Area of the wall to be painted = (16x² + 12x) - (2x² + 3x²)
= 16x² + 12x - 5x²
= (11x² + 12x) square units
Hope this Helps!!!
WILL GIVE BRAINLIEST AND 20 POINTS IF ANSWERED FULLY AND CORRECTLY. Two bikers meet at a park. Biker A needs to stop at the store that is 12 miles east of the park. Biker B heads southeast at a 61° angle at the same time for 24 miles. Once biker A leaves the store he heads southwest at an angle of 89° for 21 miles. Do NOT use the law of cosines, use your knowledge from the content of this course(geometry). a. Use your knowledge of triangles to figure out if the two bikers will be able to meet up if each biker travels the distance given. b. If they do not meet up, how much farther would one of the bikers have to travel to meet the other? c. What is the measure of the angle between the bikers? d. What is the relationship between the measure of the angles and the paths the bikers took? e. Classify the triangle the paths created. f. How many miles did they travel together?
Answer:
See below
Step-by-step explanation:
See attached for reference
The path has been created by bikers is almost a right triangle with sides of 12, 21 and 24 miles and angles of 61, 89 and 30 deg
a) Biker A travels a straight line (hypotenuse of triangle)
It is likely the bikers meet at the bottom point of the triangle
They make almost same displacement from the start point:
24 miles ≈ √12²+21² miles
b) they meet each other
c) 30 deg
d) e) as per picture attached, it is almost right triangle
f) Together they traveled 12+21+24= 57 miles
At a certain high school, 35 students play only stringed instruments, 10 students play only brass instruments, and 5 students play both. There are also 5 students who play neither stringed nor brass instruments. what is the probability that a randomly selected student plays both a string and a brass instrument?
Answer:
0.09
Step-by-step explanation:
Total = 35+5+10+5 = 55
P(string&brass) = 5/55
= 1/11 = 0.09090909
Does the table represent a function? why or why not? HELP WANTEDD
Answer:
C no, because one x value corresponds to two different y values
Step-by-step explanation:
The x value of 3 goes to two different y values
This means this cannot be a function
This is not a one to one correspondence
Answer: C
Step-by-step explanation: In order for a table to represent a function each x-value needs to correspond to exactly 1 y-value.
Notice that in the table, the 3 appears twice and it corresponds to a 5 in one case and it corresponds to a 6 in another case.
Since the x-value of 3 corresponds to more than 1 y-value,
no, this table does not represent a function.
ASAP HELP Which equation is equivalent to: 3r=90−5 ?
A. 3r+5=90
B. −3r=−90−5
C. −3r=90+5
D. 3r=90+5
Answer:
The answer is A.
This is because adding 5 to both sides of the original equation gives us A.
An equivalent equation to 3r = 90 - 5 is 3r + 5 = 90
The correct answer is an option (A)
What is an equation?"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
What is equivalent equations?"The equations that have the same answer or solution."
For given question,
We have been given an equation 3r = 90 - 5
We know that the addition property of equality which states that when the same quantity is added to both sides of an equation, the equation does not change.
⇒ 3r = 90 - 5
Add 5 on the both the sides of the equations.
⇒ 3r + 5 = 90 - 5 + 5
⇒ 3r + 5 = 90 + 0
⇒ 3r + 5 = 90
Therefore, an equivalent equation to 3r = 90 - 5 is 3r + 5 = 90
The correct answer is an option (A)
Learn more about equation here:
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Please solve it the answer is (a+b-2) (a-b+2) should be take out question a^2-b^2+4b-4
Answer:
see explanation
Step-by-step explanation:
Given
(a + b - 2)(a - b + 2)
Each term in the second factor is multiplied by each term in the first factor, that is
a(a - b + 2) + b(a - b + 2) - 2(a - b + 2) ← distribute the parenthesis
= a² - ab + 2a + ab - b² + 2b - 2a + 2b - 4 ← collect like terms
= a² - b² +4b - 4
Answer:
this may help uh to get answer..