The correct option regarding the difference in the length of the worms is given by:
6.5 cm; this is found by determining the range which is found by finding the difference between the greatest length and the least length.
What is the range of a data-set?It is given by the difference of the highest value by the lowest value in the data-set.
In this problem, the difference is exactly what we want to estimate, hence we need to consider all measures(which removes the mode and the median), and find the largest lowest and the highest, which is the range, hence:
19 cm - 12.5 cm = 6.5 cm.
Which means that the correct option is given by:
6.5 cm; this is found by determining the range which is found by finding the difference between the greatest length and the least length.
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Two cars, A and B, are travelling along a straight road and in the same direction. Car B is 20 km
ahead of Car A. Car A is travelling at 60 km · while Car B at 50 km 1. They both start at 12:00
hours. At what time Car A will overtake Car B?
Answer:
2 o'clock
Step-by-step explanation:
Their 'closing speed' is 60 - 50 = 10 km/hr
they have 20 km between them
at closing speed this will take 20 km / 10 km/hr = 2 hours for the cars to meet....this would be at 14:00 or 2 oclock
two supplementary angles have measures 6x° and 12x°. find each angle measure’
Select the expression that represents the following statement multiply 6 by 2, and then subtract 4. 2 - 4x6
6 x 2 - 4
6 + 6 + 4 - 2
6 × 4 - 2
What is the image point of (1, -2) after a translation right 4 units and down 4 units?
Answer:
Hello!!!!
THE ANSWER: (5, -6)
Please read the explanation... it always helps... trust me...
Step-by-step explanation:
Okkeeeee lets beginnnn....
A translation is when you move a point of shape in a coordinate plane
so a translation of a point to the right means you are moving the point to the right of the coordinate plane meaning the positive side of the x-axis... so in this case you will need to add 4 to the x-coordinate....
simarily to the "down four units"
moving it down means subtraction.... meaning you need to subtract 4 from -2 which gets you -6...
I REALLY HOPE THIS HELPS!!! :)
This is frying my brain, can anyone help and explain?
Answer:
1) Answer is D
2) Answer is C
3) Answer is D
Step-by-step explanation:
Problem 1
Since we are given 12 numbers to choose from, there's a 2/12 chance of selecting a 2. Additionally, there's a 3/11 chance of selecting a number divisible by 4 AFTER selecting a 2. Thus, since the two events are independent, their probabilities are multiplied, so the probability of selecting a 2 and then a number divisible by 4 is (2/12)(3/11) = 6/132 = 1/22, so option D is correct.
Problem 2
There's a 4/12 chance of selecting an odd number and a 6/11 chance of selecting an even number AFTER selecting an odd number (remember that 0 is neither even nor odd). Multiplying the probabilities, the probability of drawing an odd number and then drawing an even number is (4/12)(6/11) = 24/132 = 2/11, so option C is correct.
Problem 3
There's a 2/12 chance of selecting a zero and a 1/11 chance of selecting a second zero. Thus, multiplying their probabilities, the probability of drawing 2 zeroes is (2/12)(1/11) = 2/132 = 1/66, so option D is correct.
HELP ASAP PLEASE!!!!!!!
You have found the ages (in years) of 5 gorillas. Those gorillas were randomly selected from the 29 gorillas at your local zoo: 8,4,14,16,8
Find the Average Age
Standard Devaluation
Answer:
the answer is 10
Step-by-step explanation:
(8+4+14+16+8)/5
Part 1: Complete the operations geometrically.
Use vector operations to draw the resultant vector.
⦁ Draw 2u + 4v.
Answer:
Step-by-step explanation:
The geometrically operations 2u + 4v is (2,12).
For immediately line graphs there is a linear relationship between the x and y values and so the line is instantly and should be drawn with a ruler. The gradient determines how steep the road is and the y-intercept tells us the vicinity wherein the immediate line intersects the y-axis.
Why is a graph a direct line?It continually goes up in steps of equal length, so it is a straight line. that is first-class as a way because it goes. It identifies the defining assets of a linear feature—that it has a constant rate of exchange—and relates that property to a geometric feature of the graph.
What is a straight line graph?The graph follows a straight line equation shows a straight line graph.
equation of a straight line is y=mx+cy represents vertical line y-axis.
x represents the horizontal line x-axis.
m is the slope of the line
slope(m)=tan∅=y axis/x axis.
c represents y-intercepts (it is the point at which the line cuts on the y-axis)Straight line graphs show a linear relationship between the x and y values.Learn more about geometry here:-https://brainly.com/question/19241268
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Adelle keeps track of the time her bus arrives at her stop. Since she has been keeping track, her bus has arrived on time 16 days and has been late on 4 days. Based on her data, what percentage of the time should Adele expect the bus to be late?
Answer:
25%
Step-by-step explanation:
4 days of 16 days is 25% or 1/4
Hope this helps! ;-)
Write 6 41 100 as a decimal number.
Answer:
From my calculation I think it is 6.4×10^5
It is in standard form
OR
641100÷100,000=6.411
I'm not sure yet,but you can confirm it
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\huge\textbf{Assuming:}[/tex]
[tex]\mathsf{6\dfrac{41}{100}}[/tex]
[tex]\huge\textbf{If so:}[/tex]
[tex]\mathsf{6\dfrac{41}{100}}[/tex]
[tex]\mathsf{= \dfrac{6 \times100 + 41}{100}}[/tex]
[tex]\mathsf{= \dfrac{600 + 41}{100}}[/tex]
[tex]\mathsf{= \dfrac{641}{100}}[/tex]
[tex]\mathsf{= 641\div100}[/tex]
[tex]\mathsf{= 6.41}[/tex]
[tex]\huge\textbf{Therefore, your answer should be: \boxed{\mathsf{6.41}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
What comes next in this pattern? 7/2, 6/3, 5/4, ... 4/9 4/7 4/5
Answer:4/3
4/3
Step-by-step explanation:
47/6m+n- 7/2m-6/5n
Simplify
Answer:
[tex]\frac{13m}{3}-\frac{n}{5}[/tex]
Step-by-step explanation:
1) Simplify [tex]\frac{47}{6}m[/tex] to [tex]\frac{47m}{6}[/tex]
[tex]\frac{47m}{6}+n-\frac{7}{2}m-\frac{6}{5}n[/tex]
2) Simplify [tex]\frac{7}{2}m[/tex] to [tex]\frac{7m}{2}[/tex]
[tex]\frac{47m}{6}+n-\frac{7m}{2}-\frac{6}{5}n[/tex]
3) Simplify [tex]\frac{6}{5}n[/tex] to[tex]\frac{6n}{5}[/tex]
[tex]\frac{47m}{6}+n-\frac{7m}{2}-\frac{6n}{5}[/tex]
4) Collect like terms.
[tex](\frac{47m}{6}-\frac{7m}{2})+(n-\frac{6n}{5})[/tex]
5) Simplify.
[tex]\frac{13m}{3}-\frac{n}{5}[/tex]
a) Let A x B = {(1, 5), (1, 6), (2, 5), (2, 6), (3, 5), (3, 6)} then, find A, B, n(A), n(B)
Step-by-step explanation:
A={1,2,3}
B={5,6}
n(a)=3
n(b)=2
Which is not a reason an athlete uses technology to assess performance?
A. To monitor development.
B. To tailor to their training program.
C. To send to college recruiters.
D. To analyze technique.
The reason for which an athlete does not use technology to assess performance is To send to college recruiters.
What is technology?Technology is the culmination of collected knowledge and the application of skills, methods, and procedures utilized in manufacturing and scientific research. Technology is incorporated into the functioning of all machinery, with or without a thorough understanding of its function, for an organization's stated purpose.
The reason for which an athlete does not use technology to assess performance is To send to college recruiters.
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Alex believes the honor roll students at his school have an unfair
advantage in being
assigned to the science class they request. He asked 500 students at his school the
following questions: Are you on the honor roll?" and "Did you get the science class you
requested?" The results are shown in the table below:
Honor roll Not on honor roll Total
Received science class requested
64
315
379
Did not get science class requested 80
41
121
Total
144
356
500
Help Alex determine if all students at his school have an equal opportunity to get into
the science class they requested. Show your work, and explain your process for
determining the fairness of the class assignment process.
According to the information provided, it can be inferred that the conclusion reached by Alex is that there are no advantages to honor roll students.
How to calculate the percentage of students who received the requested classes?To calculate the percentages of students who received the requested classes, we must take into account the data in the table. Additionally, we must perform the following operations:
144 ÷ 100 = 1.44
64 ÷ 1.44 = 44.44%
According to the above, the percentage of students who are on the honor roll and receive their classes is 44.44%.
To calculate the percentage of students who are not on the honor roll and receive their classes, we do the following operation.
356 ÷ 100 = 3.56
315 ÷ 3.56 = 88.48%
According to the above, it can be inferred that the students who are on the honor roll do not have advantages over the others because the percentage of students who are not on the honor roll and receive their science classes is greater than the percentage of students who are on the honor roll and receive their classes.
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4 divided by 5yards 1 foot
Jack's bicycle has a mass of 9 kilograms. What is the
mass of Jack's bicycle in grams?
Answer:
9000 grams
Step-by-step explanation:
1 kg = 1000 g
1 * 9 kg = 1000 * 9 g
9 kg = 9000 g
What is the value of tan(60°)?
A
01
12
300
03
03
2.
В
60°
6
п
с
Answer:
√3 is the answer
Step-by-step explanation:
the value of tan60 is √3
HELP PLEASE 100 POINTS!!!
Given that triangle PHT is a right triangle and Line HY is an altitude, what is the missing justification in the proof that (PH)^2 + (HT)^2 = (PT)^2?
The missing reason is reflexive property.
Therefore, the correct option is D.
What is a triangle?A triangle is a type of polygon, which has three sides, and the two sides are joined end to end is called the vertex of the triangle.
Given that a triangle PHT is a right triangle and Line HY is an altitude.
According to the reflexive property, a side or an angle is congruent to itself.
If A is an angle of a triangle, then using reflexive property.
∠A ≅ ∠A
∠PHT ≅ ∠HYT (Both are right angles)
∠T ≅ ∠T (Reflexive property)
ΔPHT ~ ΔHYT (AA rule of similarity)
Other statements and reasons are already in the table.
Hence the correct option is D.
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the camera cost $540 if the sales tax is 7.2% what is the tax change and the total cost?
Answer:
38.88
Step-by-step explanation:
Convert the problem to an equation using the percentage formula: P% * X = Y.
P is 10%, X is 150, so the equation is 10% * 150 = Y.
Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.
Can you match the teacher's comments to the definitions?
Answer:
Daniel =Were you thinking of perpendicular lines?
Oris= It seems like you've got the basic idea, but your definition could be more precise.
Kaoris= Yes well done...
. Use the vectors v = -i +2j and w= -3i + 4j to find 5v + 8w.
O-29i+42j
O 10i-16j
O-4i + 7j
O2i+ 6j
put values
5(-i+2j)+8(-3i+4j)Do like you do algebraic addition
-5i+10j-24i+32j-5i-24i+10j+32j-29i+42jOption A
5. A rectangle whose length and width are 10 and 6, respectively, is shown below. The rectangle is continuously
rotated around a straight line to form an object whose volume is 150.
6
10
hich line could the rectangle be rotated around?
A. a long side
B. a short side
C. the vertical line of symmetry
D. the horizontal line of symmetry
TheThe line that the rectangle could be rotated around is: C. the vertical line of symmetry.
Vertical line of symmetryAnalysis
Volume=Base area×height
If the rectangle rotated around horizontal line of symmetry
V1=Ah=πr²h
=π×9×10
=90π
If the rectangle rotated around short line
V2=Ah=πr²h
=π×10²×6
=π×100×6
=600π
If the rectangle rotated around vertical line of symmetry
V3=Ah=πr²h
=π×5²×6
=π×25×6
=150π
Therefore the correct option is C.
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How do I solve
[tex]2x^{2}+5x+2=0[/tex]
see the attachment...
hope it helps...!!!
Answer:
There are two solutions.
[tex]x_1 = -0.5\\x_2 = -2[/tex]
Step-by-step explanation:
Step 1
Use the formula of ax^2 + bx + c = 0 to find the coefficients.
[tex]a = 2\\b = 5\\c = 2[/tex]
Step 2
[tex]x=\frac{ (-b+/-sqrt(b^2-4ac))}{(2a)}\\x=\frac{ (-5 +/- sqrt(5^2-4*2*2))}{(2*2)}\\x=\frac{(-5 +/- sqrt(25-4*2*2))}{(2*2)}\\x=\frac{(-5 +/- sqrt(25-8*2))}{(2*2)}\\x=\frac{(-5 +/- sqrt(9))}{(2*2)}[/tex]
[tex]x = \frac{-5 +/- \sqrt{9} }{4}[/tex]
Step 3
[tex]9 = 3^2\\\sqrt{9} = \sqrt{3*3}\\\sqrt{3*3} = \sqrt{3^2}\\\sqrt{3^2} = 3[/tex]
Step 4
[tex]x_1=\frac{(-5+3)}{4} -- > x_2=\frac{(-5-3)}{4}\\x_1=\frac{(-5+3)}{4}\\x_1=\frac{-2}{4}\\x_1=-0,5[/tex]
[tex]x_2=\frac{(-5-3)}{4}\\x_2=\frac{(-8)}{4}[/tex]
[tex]x_2=-2[/tex]
Hope this helps.
If f(x) = 3x - 1 and g(x) = x + 2 , find (f + g)(x)
Answer:
Answer:4x + 1
Step-by-step explanation:
(f + g)(x)=(3x - 1)+(x + 2)
=3x + x - 1 + 2
=4x + 1
f(x) = x² + 2x − 3
Find f (2)
f(2) is equal to type your answer...
Answer:
f(2) = 5
Step-by-step explanation:
Given: f(x) = x² + 2x - 3
We are asked to find the value of the function when x = 2.
In the function, substitute 2 as the value of x and simplify:
f(2) = (2)² + 2(2) - 3
f(2) = 4 + 4 - 3
f(2) = 8 - 3
f(2) = 5
When x is equal to 2, the value of the function is 5.
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| 3. Two lines are intersecting. What is the
value of x?
(x+23)
(2x + 4)°
Answer:
Step-by-step explanation:
2x + 4 + x + 23 = 180
3x + 27 = 180
3x = 153
x = 51
Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $30 and same-day tickets cost $15. For one performance, there were 65 tickets sold in all, and the total amount paid for them was $1500 . How many tickets of each type were sold?
The advance tickets were 35 in number and the same day ticket will be 30 in number.
What will be the number of tickets?To find out the number of the tickets sold we will give some notations so the notations are as follows:-
A= Cost of advance tickets=$30
S= cost of same-day ticket-=15
[tex]N_A=[/tex] Number of the advance tickets
[tex]N_S=[/tex]Number of same-day tickets.
The equations made by the given data will be:-
[tex]30N_A+15N_S=1500\\\\\\N_A+N_S=65[/tex]
By solving the above equations:-
[tex]N_S=30\ \ \ \ \ \ N_A=35[/tex]
Hence the advance tickets were 35 in number and the same day ticket will be 30 in number.
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Help please
50 points
Answer:
The answer would be B
Step-by-step explanation:
Select the correct answer.
Given: , and
Prove:
Statements Reasons
vertical angles theorem
given
given
alternate interior angles theorem
??
definition of congruence
Which step is missing in the proof?
Based on the SAS congruence criterion, the statement that best describes Angie's statement is:
Two triangles having two pairs of congruent sides and a pair of congruent angles do not necessarily meet the SAS congruence criterion, therefore Angie is incorrect.
What is congruency?The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle.
An included angle is found between two sides that are under consideration.
See image attached below that demonstrates two triangles that are congruent by the SAS Congruence Theorem.
Thus, two triangles having two pairs of corresponding sides and one pair of corresponding angles that are congruent to each other is not enough justification for proving that the two triangles are congruent based on the SAS Congruence Theorem.
The one pair of corresponding angles that are congruent MUST be "INCLUDED ANGLES".
Therefore, based on the SAS congruence criterion, the statement that best describes Angie's statement is:
Two triangles having two pairs of congruent sides and a pair of congruent angles do not necessarily meet the SAS congruence criterion, therefore Angie is incorrect.
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