Answer:
2 : 3
Step-by-step explanation:
if x = 3, y = 2
The difference : x - y = 3 - 2 = 1
represents for "y":
[tex]\frac{1}{y}(100) =\frac{1}{2} (100)=50[/tex]%
Hope this helps
Teaching year is recorded as an integer, with first-year teachers recorded as 1, second-year teachers recorded as 2, and so on. Both sets of data have a mean teaching year of 8. 2, with data recorded from 200 teachers at High School A and 221 teachers at High School B. On the histograms, each interval represents possible integer values from the left endpoint up to but not including the right endpoint. (a) The median teaching year for one high school is 6, and the median teaching year for the other high school is 7. Identify which high school has each median and justify your answer. (b) An additional 18 teachers were not included with the data recorded from the 200 teachers at High School A. The mean teaching year of the 18 teachers is 2. 5. What is the mean teaching year for all 218 teachers at High School A
The mean teaching year for all 218 teachers at High School A is 7.73 if the teaching year is recorded as an integer, with first-year teachers recorded as 1, second-year teachers recorded as 2, and so on.
What is a histogram?It is defined as the numerical data representation in the graph with the help of a bar without space. The histogram gives an idea about the data's approximate distribution.
We have two histograms representing the teaching year with frequency.
From the first histogram the two reactangles represents = 45+48 = 93
From the second hisogram = 79+34 = 113
Median divided into two equal parts.
From the data:
The first graph has 200 points
The second graph has 221 points
The first graph median should be near the 100th data point
The second graph median should be the 111th data point
We obtain 93 from rectangles on a, which is less than 100, and these two rectangles include 1-4 and 4-7 (not including?) As a result, we might argue that this data covers 1-6.
We clearly need more values after we reach the medians, thus we must include the following interval. As a result, in a medium, 7 should be used.
The same reasoning applies to b), where the first two rectangles yield 113 and the median is the 111th datum point. We don't need to add these two rectangles because it includes them. So, for this median, the next interval (7-10) must be 6.
For part (b):
Mean of 18 = 2.5
= 2.5×18 ⇒ 45
Mean of 200 = 8.2
= 200×8.2 ⇒ 1640
New mean = Total/number of observation
= (45+1640)/(200+18)
= 1685/218
= 7.729
= 7.73
Thus, the mean teaching year for all 218 teachers at High School A is 7.73 if the teaching year is recorded as an integer, with first-year teachers recorded as 1, second-year teachers recorded as 2, and so on.
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The side lengths of △JKL are 60 cm, 80 cm, and 100 cm. Which formula can be used to show that △JKL is a right triangle?
Answer:
a^2 +b^2= c^2
Step-by-step explanation:
to prove that a triangle have right angles triangle you have to use the Pythagoras theorem
Determine the intercepts of the line.
Y-intercept: ( __ , __ )
X-intercept: ( __ , __ )
Answer:
x-intercept : (-1.2,0)
y-intercept : (0,-0.7)
Step-by-step explanation:
Hello!
An x-intercept is when the y-value is 0, and a y-intercept is when the x value is 0.
Another way to think about it, x-intercepts intersect with the x-axis, while the y-intercept intersects with the y-axis.
A coordinate, a point on a graph, is written as (x,y) or x-position and y-position.
x-intercept : (-1.2,0)
y-intercept : (0,-0.7)
The diagram represents the polynomial 4x2 23x – 72. a 2-column table with 2 rows. the labels for both the columns and the rows is question mark. first column entries are 4 x squared, negative 9 x. second column entries are 32 x, negative 72. what is the factored form of 4x2 23x – 72? (4x 8)(x – 9) (4x – 8)(x 9) (4x 9)(x – 8) (4x – 9)(x 8)
The factor of the given polynomial 4x^2 + 23x – 72 would be equal to (4x - 9) (x + 8).
What are polynomials?Polynomials are those algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.
The given polynomial expression
[tex]4x^2 + 23x - 72[/tex]
We factor in the highest common denominator of each group.
[tex]4x^2 + (-9+32)x - 72[/tex]
[tex]4x^2+9x-32x - 72[/tex]
[tex](4x-9)x+8(4x-9)[/tex]
Finally, the factored expression is
(4x - 9) (x + 8)
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The graph represents the journey of a bus from the bus stop to different locations:
Part B: In which parts of the graph is the function increasing, decreasing, and constant? (4 points)
Part C: Is the graph linear or non-linear? Explain your answer.
Answer:
part b)
increasing: hour 1
constant: hours 2 and 4
decreasing: hours 3 and 5
part c)
non-linear
Step-by-step explanation:
The surface area of a cube is 294 cm². What are
the dimensions of the cube?
Answer:
Read Expl.
Step-by-step explanation:
To go from a length to the surface area, you can do 6[tex]l^{2}[/tex]
So you can backtrack, you can do 294/6 which is 49
[tex]\sqrt{49}[/tex] is what you can do next and that will get you 7.
The two figures are congruent. Which of the following statements is true?
Answer:
The answer would be D
Step-by-step explanation:
Mr Gleasons math class lasts for 40 minutes. Math class starts at 9;55 AM. At what time does math class end?
Answer:
Math class ends at 10:35 AM.
Step-by-step explanation:
To find the answer, you need to add 40 minutes to the timestamp if 9:55 AM. There are 60 minutes in an hour, so you add five minutes to get to 10:00. 40-5=35. Now add 35 minutes to 10:00. The answer is 10:35 AM.
Answer:
The answer is 10:35 AM.
Step-by-step explanation:
Given;Mr Gleasons math class lasts for 40 minutes.Math class starts at 9:55 AM.To Find;At what time does math class end.Here, we know that in one hour there's 60 minutes.
1 hour = 60 minutes.
So, add 40 minutes in 9:55
9:55 + 40 minutes = 10:35 AM
Thus, Mr Gleasons math class will end at 10:35 AM.
Can someone help me quick please ?
Answer:
I think it is the second option
Step-by-step explanation:
The functions f and g are shown below. Which of the following statements is true? A. Over the interval [0, 2], the average rate of change of f is greater than that of g. The y-intercept of f is the same as the y-intercept of g. B. Over the interval [0, 2], the average rate of change of f is the same as that of g. The y-intercept of f is less than the y-intercept of g. C. Over the interval [0, 2], the average rate of change of f is the same as that of g. The y-intercept of f is greater than the y-intercept of g. D. Over the interval [0, 2], the average rate of change of f is less than that of g. The y-intercept of f is the same as the y-intercept of g.
Answer:
this is the gradient use the line to estimate and plot
Step-by-step explanation:
The volume of a cylinder is 54 1 cm3. If the radius is 3 cm, what is the height of the cylinder? 3 cm
O A. 6 cm
O B. 3 cm
O C. 18 cm
OD. 9 cm
Pls help!!
I don’t understand I’m not smart-
Answer:
47.5 ft²
Step-by-step explanation:
The formula to find the area of a semicircle: [tex]\frac{1}{2} * \pi * r^{2}[/tex], where [tex]r[/tex] is the radius (diameter ÷ 2) and the [tex]\pi[/tex] is alterable.
1) Substitute the given values into the formula. Since the diameter has been given to us, we need to divide it by two for the radius (11 ÷2 = 5.5).
= [tex]\frac{1}{2} * 3.14 * 5.5^{2}[/tex]
2) Solve it.
= [tex]\frac{1}{2} * 94.985[/tex]
= 47.4925
2) Round it off to the nearest tenth.
= 47.5
Answer:47.5 ft²Step-by-step explanation:The formula to find the area of a semicircle: , where is the radius (diameter ÷ 2) and the is alterable.1) Substitute the given values into the formula. Since the diameter has been given to us, we need to divide it by two for the radius (11 ÷2 = 5.5).= 2) Solve it.= = 47.49252) Round it off to the nearest tenth.= 47.5
13. Marcus builds a brick wall that is 23 bricks across and 130 bricks high. Which is the best estimate of about how many bricks Marcus will use to build the wall? * 1 point 2,000 4,500 1,000 3,750
The required number of bricks is 2990. None of the options are correct.
Given that,
Marcus builds a brick wall that is 23 bricks across and 130 bricks high. Which is the best estimate of how many bricks Marcus will use to build the wall is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Number of bricks in a row = 23
Number of bricks in column = 130
Total number of bricks = 23 * 130
= 2990,
Thus, the required number of bricks is 2990. None of the options are correct.
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Your friend has $100 when he goes to the fair. He spends $10 to enter the fair and $20 on food. Rides at the fair cost $2. 00 per ride. Which function can be used to determine how much money he has left over after x rides? (1 point)
the length of a rectangle is 5 cm more than twice a number. the width is 4cm less than the same number. if the area of the rectangle is 15cm2, find the number
What is the range of the function y = startroot x 5 endroot?
The domain of the function is [-5,0) and the range of the function y = startroot x 5 endroot is [0,∞)
What is range of function?Range of a function is the set of all the possible output values which are valid for that function.
The function given in the problem is,
[tex]y=\sqrt{x+5}[/tex]
This function is defined when the value of √(x+5) is greater than or equal to 0.
[tex]\sqrt{x+5}\ge0[/tex]
Solve it further,
[tex]\sqrt{x+5}\ge0\\(x+5)\ge0\\x\ge-5[/tex]
Thus, the domain of the equation is [-5,0). Now for the range,
[tex]x+5\ge0\\\sqrt{x+5}\ge0\\y\ge0[/tex]
Thus the range is [0,∞).
Hence, the domain of the function is [-5,0) and the range of the function y = startroot x 5 endroot is [0,∞)
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-10Y +8 - Y + 2X + X - 3 SIMPLIFY
The ratio of boys to girls in the school is 2:3 if there are 600 students in school how many boys are there in the school HELP
Answer:
400 boys : 200 girls
Step-by-step explanation:
For moves less than 50 miles, a moving company charges $180 per hour and a $50 gas fee.
Which function rule represents the amount in dollars, C, the company charges for h hours?
A:OC=50h - 180
B:OC=50h+ 180
C:OC=180h+ 50
D:OC= 180h - 50
Answer:
C
Step-by-step explanation:
the 50 miles don't really matter in this situation. 180$ per hour will be 180h (as we don't know the number of hours used) and the 50$ gas fee, which is what C is representing.
Answer:
C: C = 180h + 50
Step-by-step explanation:
180 per hour, with h representing how many hours, and then you need a $50 gas fee. So, the answer would be C = 180h + 50
What’s The Answer To This? Please Help Fast
Answer:
x=30
Step-by-step explanation:
you would call those alternate exterior angles meaning that they are the same angle, so all you have to do is reverse the equation meaning you do 75-15=60 and you would then divide by 2 to get X so 60/2=30, so x=30
Answer:
x = 30
Step-by-step explanation:
2x+15 should be vertical to angle 5
75 is vertical to angle 4.
If we were to look at angles 4 and 5 those are alternate interior which means they have to be congruent.
2x+15=75
2x=75-15
2x=60
x=30
An ice cream shop sold 88 scoops of strawberry ice cream, which was 25% of the total number of scoops sold that day. What was the total number of ice cream scoops sold by the ice cream shop that particular day?
Answer:
352
Step-by-step explanation:
if 88 is only a forth
88*4=352
What is the length of the dotted line? round to the nearest hundredth. 2.50 in. 3.75 in. 5.00 in. 6.25 in.
The measure of the length of the dotted line is 3.75 inches. Then the correct option is B.
What is a hexagon?The hexagon is a 2D geometry that has a 6 number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
The perimeter of the hexagon is 7.5 inches.
Then the length of the hexagon will be
[tex]\rm 7.5 = 6x\\\\x \ \ = 1.25[/tex]
The length of the hexagon is 1.25 inches.
Then the diagonal length of the hexagon will be
y = 2 × 1.25
y = 2.5
The diagonal length of the hexagon is 2.5 inches.
Then the length of the dotted line is 3.75 inches.
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anything to help with please
Guillermo desea planificar la cosecha y venta de plátano a partir de información precisa. Usando la información de que se dispone, determine la ecuación de la utilidad y calcule cuántos kilos tendría que vender Guillermo por semana bajo estas condiciones, para que la utilidad no sea menor al 15% del costo
Para planificar su cosecha y garantizar una buena ganancia, Guillerno necesita utilizar la ecuación de utilidad.
¿Qué es la utilidad?En un negocio, la utilidad se refiere a la ganancia neta de una empresa o la diferencia entre el total de dinero que se gana y los gastos o inversión.
¿Cómo se calcula la utilidad?La utilidad se calcula a partir de la siguiente ecuación:
Margen de utilidad= ingresos totales - inversión o costosEsta ecuación requiere saber los posibles costos y los ingresos totales para calcular la utilidad de un producto y así mismo planear la cantidad del producto a vender.
Nota: Esta pregunta está incompleta porque no hay información sobre los costos, posbiles ganancias, etc. de Guillermo. Debido a lo anterior, la respuesta se basa en conocimiento general.
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1.) Mrs. Tom is having triplets. What is the probability that all three children will be boys?
Answer:
1/3
Step-by-step explanation:
due to her having triplits it will be a 1/3 chance that they will all be boys because you need to take in account the three children
Answer:
Step-by-step explanation:
There are 8 different ways that the order of the children is 1/8 for each one.
So for boy * boy * boy = 1/2 * 1/2 * 1/2 = 1/8
All of the other possibilities also produce 1/8 because each child has a possibility of 1/2 to be a boy or a girl.
Robert is going to invest $640 and leave it in an account for 20 years. Assuming the interest is compounded quarterly, what interest rate, to the nearest hundredth of a percent, would be required in order for Robert to end up with $1,280?
Answer:
The answer is: 3.48%
Step-by-step explanation:
Answer :
R = 3.48%
interset rate
Solve the equation 4(x + 5) = 9x + 4x − 34, and show your work
Answer:
x = 6
Step-by-step explanation:
: 4(x + 5) = 9x + 4x − 34
Combine Like Terms:
- 4x + 20 = 9x + 4x − 34
- 4x + 20 = 13x − 34
Subtract 20 from both sides:
- 4x + 20-20 = 13x − 34-20
Subtract The numbers:
= 4x = 13x - 54
Subtract 13x from both sides:
= 4x-13x = 13x - 54-13x
Combine Like terms:
- 9x = -54
Divide both sides by the same factor:
-9x / -9 = -54 / -9
Cancel terms that are in both the numerator and denominator:
x = -54/-9
Divide the Numbers:
x = 6
6 Résolvez les équations suivantes.
a. x + 4 = 12
d. -14 = 2x
b. x + 5,1 = x + x
e. 5 = 4x
C. 6x = x - 15
f. x + 8 = 2x + 3
=
-
Step-by-step explanation:
a) x + 4 = 12
=> x + 4 - 4 = 12 - 4
=> x = 8
d) - 14 = 2x
=> -14/2 = 2x/2
=> -7 = x
x = -7
b) x + 5,1 = x + x
1 = x + x
1 = 2x
1/2 = 2x/2
x = 1/2 or 0.5
e) 5 = 4x
=> 5/4 = 4x/4
=> x = 5/4 or 0.8
c) 6x = x - 15
=> x - 15 = 6x
=> -15 = 6x - x
=> -15 = 5x
=> -15/5 = 5x/5
=> x = -3
f) x + 8 = 2x + 3
x+8=2x+3
x+8−2x=2x+3−2x
−x+8=3
−x+8−8=3−8
−x=−5
−x/−1 = −5/−1
x=5
J'espère que cela vous aidera, si vous avez d'autres problèmes, dites-le moi
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS
Montel uses 8 ounces of sugar to make 36 fluid ounces of lemonade.If he makes 108 fluid ounces of lemonade to bring to a party,how many ounces of sugar will he use? *help me pls T^T*