Using the given proportions, it is found that the joint relative frequency of high school students who ride the bus is of 0.28.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The proportions relative to riding the bus in this problem are of 0.15 for middle school and 0.13 for high school, for a total of 0.28, hence, the joint relative frequency of high school students who ride the bus is of 0.28.
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Graph and label each figure and it’s image under the given translation. Give the coordinates of the image.
Answer:
See below ~
Step-by-step explanation:
Question 3 : (x, y - 5)
K' = (-3, 2 - 5) = (-3, -3)L' = (1, 4 - 5) = (1, -1)M' = (-1, 0 - 5) = (-1, -5)N' = (-5, -2 - 5) = (-5, -7)Question 4 : (x + 4, y + 1)
D' = (-4 + 4, 3 + 1) = (0, 4)E' = (0 + 4, 2 + 1) = (4, 3)F' = (-2 + 4, -6 + 1) = (2, -5)G' = (-6 + 4, -5 + 1) = (-2, -4)Find the value of X
Answer:
x = 14
Step-by-step explanation:
By tangent secant theorem[tex] x^2 = 7(7+21)[/tex][tex]\implies x^2 = 7(28)[/tex][tex]\implies x ^2=196[/tex][tex]\implies x=\pm\sqrt{196}[/tex][tex]\implies x=\pm 14[/tex]x can not be negative[tex]\implies x=14[/tex]Which biconditional statement is NOT true?
The biconditional statement that is not true from the given option is "a triangle is equilateral if and only if it has three sides.
What is a Biconditional Statement?A biconditional statement is one of the logical statements that contain the words "if and only if."
A biconditional statement is true for p ⇔ q provided that both p and q have an exact truth value, and it is false if otherwise.
The biconditional statement that is not true from the given option is "a triangle is equilateral if and only if it has three sides. For a triangle to be equilateral, it is supposed to have three equal angles and three equal sides.
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Answer:
A quadrilateral is rectangle if and only if it has at least two right angles
Step-by-step explanation:
IMAGINE mATH!
the factory makes light bulbs the probability that a bulb is defective is 1/15 if 300 light bulbs are tested about how many are expected to be defective
a 20
b 66
c 15
d 30
The inside of a baking pan is to be lined with tinfoil. the pan is 12 inches long, 9 inches wide, and 1.5 inches tall. how many square inches of tinfoil are needed?
The inside of a baking pan is to be lined with tinfoil. Then the amount of tinfoil needed will be 171 square inches.
What is a rectangle?It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
The inside of a baking pan is to be lined with tinfoil. the pan is 12 inches long, 9 inches wide, and 1.5 inches tall.
Then the amount of the tinfoil will be
The surface area of the rectangle with an open lid is given as
Surface area = 2(LH + WH) + LW
Then the surface area of the tinfoil will be
Surface area = 2(12 x 1.5 + 9 x 1.5) + 12 x 9
Surface area = 2 (18 + 13.5) + 108
Surface area = 2 x 31.5 + 108
Surface area = 63 + 108
Surface area = 171 square inches
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Help me please help me
the answer to that is -120
Step-by-step explanation:
-120+74=-46
Answer:
k = -120
Step-by-step explanation:
k + 74 = -46
Subtract 74 from both sides:
k + 74 = -46
- 74 - 74
k = -120
Final answer: k = -120
Hope this helps!
Does anyone know how to do this please help
Step-by-step explanation:
the photo should explain
An equilateral triangle has all sides the same length and all angles the same measure.
Which is the measure of one angle of an equilateral triangle?
30°
45°
60°
90°
Graph on the same axes: y =x^2-4 and y=4-x^2. Write an equation for the part of the graph which is above of the x-axis.
The upper part of the x-axis is a quadratic function and the equation of the upper part is: y = 4 - x^2; -2 < x < 2
How to determine the equation of the graph?The equations are given as:
y = x^2 - 4
y = 4 - x^2
When these equations are plotted, the upper part of the x-axis is a quadratic function that has the following properties:
Zeros = -2 and 2
Because the upper x-axis is open upwards, the equation of the graph is:
y = -(x - zeros)
So, we have:
y - (x - 2)(x + 2)
Evaluate
y = 4 - x^2
Hence, the equation of the upper part is:
y = 4 - x^2; -2 < x < 2
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Emilia has a pencil box that is 12 inches long, 5 inches wide, and 3 inches tall. Richard's pencil box is 8 inches long and 5 inches wide, but it is twice as tall as Emilia's pencil box. How many cubic inches larger is Richard's pencil box than Emilia's pencil box?
Answer:
Twice as large, or 180 cubic inches more
Step-by-step explanation:
To find the volume/ cubic inches of Emilia's pencil box, multiply base x width x height.
12 · 5 · 3 = 180
Do the same with Richard's pencil box, but multiply the height by 2
12 · 5 · 3(2) = 360
Subtract 180 from 360 to get 180.
Richard's pencil box is 180 cubic inches larger than Emilia's
Hope this helps!
write down all the prime numbers
Answer:
The prime numbers from 1 to 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
Step-by-step explanation:
also it goes on and on so i dont think you meant but i hope this helps if it dosnt m very sorry
Need help asap
the garcia family has a monthly car loan payment of $400, and their average monthly credit card bill is $4,800. mr. garcia
is also paying $1,000 per month to support his elderly parents. compute the back-end ratio to the nearest percentage.
type the correct answer in the box. use numerals instead of words.
Answer:
70%
Step-by-step explanation:
Two points of a parallelogram are (1,2) and (2,5). The base of the parallelogram is parallel to the x axis and is 4 units long. Find the coordinates of the other two points of this parallelogram and also find the length of the other pair of parallel sides of the parallelogrma. What would the area of this parallelogram be?
Answer:
(5,2) and (6,5)
length of side = sqrt10 ~= 3.16 units
Area = 12 sq units
Step-by-step explanation:
It really helps to graph the given information. See image. The sides have the same slope bc they are parallel. If you go UP3 & OVER1 to get from the first point to the second point, then do that again on the right side. See image. Use distance formula or pythagorean thm to find the length:
c^2 = 3^2 + 1^2
c^2 = 9+1
c^2 = 10
c = root10 ~= 3.16
Area of a parallelogram is b•h
A = 4•3
= 12
see image.
como resolver
(-2 )² x (-2 )³
aplica propiedades de la potenciación en este caso seria potencia de un producto
Answer:
-32
Step-by-step explanation:
-2^2 is 4
-2^3 is -8
So 4•-8
=-32
Hope this helps. Brainliest would be appreciated.
Find uv.
v
u
640
10
w
write your answer as an integer or as a decimal rounded to the nearest tenth.
uv =
The value of uv to the nearest tenth or as an integer is 3.1 units
How to find side of a right triangle?uv is the adjacent side of the right triangle.
uv can be found using trigonometric ratios as follows:
Therefore,
tan 63 = opposite / adjacent
Hence,
tan 63 = 6 / adjacent
cross multiply
uv tan 63 = 6
divide both sides by tan 63
uv = 6 / tan 63
uv = 6 / 1.96261050551
uv = 3.05716906145
uv = 3.1 units
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A fish is at 125 m below the sea level it rises 56m, then dives
48m and then rises 25m again. Find the fish’s position from the
sea level
What is the sum? startfraction x over x 3 endfraction startfraction 3 over x 3 endfraction 2 over x 3 endfraction five-thirds startfraction x 5 over x 3 endfraction startfraction x 5 over 3 x 27 endfraction startfraction 6 x over x 3 endfraction
The value of the sum expression [tex]\frac{x}{x +3} + \frac{3}{x + 3}[/tex] is 1
How to determine the sum?The expression is given as:
[tex]\frac{x}{x +3} + \frac{3}{x + 3}[/tex]
Take the LCM of terms of the expression
[tex]\frac{x}{x +3} + \frac{3}{x + 3} = \frac{x + 3}{x +3}[/tex]
Evaluate the quotient of x + 3 and x + 3
[tex]\frac{x}{x +3} + \frac{3}{x + 3} = 1[/tex]
Hence, the value of the sum expression [tex]\frac{x}{x +3} + \frac{3}{x + 3}[/tex] is 1
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h(x) = x2 + 1 k(x) = x – 2
(h + k)(2) =
(h – k)(3) =
Evaluate 3h(2) + 2k(3) =
.
The sum of two numbers is 23. The difference of the numbers is 7.4. What are the two numbers?
[tex]\huge\color{yellow}\underline \colorbox{violet} {\color{red}{QUESTION}}[/tex]
need answer guys
Answer:
26. c. 6 cm
27. c. 70 cm³
Step-by-step explanation:
Question 26
Volume = Length × Width × Height360 = 10 × 6 × WidthWidth = 6 cmc. 6 cmQuestion 27
Volume = Length × Width × HeightVolume = 7 × 5 × 2Volume = 70 cm³c. 70 cm³Question 28 (not entirely visible)
Solve:
1)
Find Width
10 * W * 6 = 360
W = 360/60
W = 6 cm
2)
Volume
LWH
(2)(7)(5)
70 cm³
3)
Volume
LWH
(7)(3)(4)
84 m³
A fish is 18 feet below the surface of a lake. The fish swims up 12 feet before diving 45 feet. What equation can be used to find the current depth of the fish in feet?
Some newer phones provide a screen time summary, which shows the amount of screen time for a user in a given week. A student would like to estimate the mean screen time for all phone users. She asks a random sample of 50 students at her school to share their screen time for the past 24 hours. The mean screen time for the chosen students is 2.73 hours. Which statement is an appropriate interpretation of the results?
A.)All students probably have screen times close to 2.73 hours.
B.)To obtain a better estimate of mean screen time, more students should be surveyed.
C.)Because of undercoverage, 2.73 likely underestimates the mean screen time of all phone users.
D.)2.73 hours is a suitable estimate for mean screen time of all phone users because a random sample was taken.
Answer:
c
Step-by-step explanation:
got it right on edge
how do u find the surface area of all the prisms?
Which of the following points is a possible solution to the system? y ≤ 3x − 1 y ≥ -x − 1
Plotting the inequalities y ≤ 3x − 1 and y ≥ -x − 1 using the geogebra graphing tool, a possible solution to the system is (3, 1)
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the inequalities y ≤ 3x − 1 and y ≥ -x − 1
Plotting the inequalities y ≤ 3x − 1 and y ≥ -x − 1 using the geogebra graphing tool, a possible solution to the system is (3, 1)
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Which expression is equivalent to the one that is modeled?
Answer:
What are the equivalent expressions?
Two expressions are said to be equivalent if they have the same value regardless of the value of the variable(s) in them.
Step-by-step explanation:
Factor this trinomial
X^2 + 3x - 4
Answer:
(x - 1)(x + 4)
Step-by-step explanation:
What multiplies to (-4) but adds to (3)?
These two values are (4) and (-1). Therefore, these are the values that make up the factored trinomial.
x² + 3x - 4 -----> (x - 1)(x + 4)
You can check your answer by expanding the factors. This is done by multiplying each term within the first parentheses by each term within the second parentheses.
(x - 1)(x + 4) -----> x² - 1x + 4x - 4 -----> x² + 3x - 4
Please, try to answer quickly Due in 1 hr!
Take your values from the previous chart (in question 2) and convert them from Celsius to Fahrenheit follow the example below and use the conversion rule to fill out the chart for degrees Fahrenheit when t = 12 and t = 24 (2 points: 1 point for each row)
The previous chart from question 2 is below. The chart I am trying to fill out is the bigger one That has the above question written on the picture.
All other times this question has been asked it has gone unanswered or with incorrect and incomplete answers please answer the question no matter how old it is because even if I have figured it out someone else can get help from this.
The values of the temperature in degree Celsius (12 and 24) converted to degree Fahrenheit are 53.6°F and 75.2°F respectively.
How to convert the value of temperature?In this exercise, you're required to convert the value of temperature in degree Celsius to degree Fahrenheit. Thus, we would use the following mathematical expression to do the conversion:
F(t) = 9/5C(t) + 32
When t = 12, we have:
F(t) = (9/5 × 12) + 32
F(t) = 21.6 + 32
F(t) = 53.6°F.
When t = 24, we have:
F(t) = (9⁄5 × 24) + 32
F(t) = 43.2 + 32
F(t) = 75.2°F.
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Mario borrows $620 from his parents and agrees to pay them back the same amount each month without interest. After 6 months of payments, he still owes them $320. Write a linear function to model the remaining amount over time that Francisco has to repay. Identify the slope and the y-intercept in terms of the context.
A linear function that models the remaining amount he would have to repay is y =620 - 50x. The slope is -50 and the y-intercept is 620.
What is the linear function?A linear function is a function in which there is only one variable that is raised to the power of one. Linear functions usually have the form: mx + b.
Where:
x = slope b = y -interceptThe first step is to determine the amount that would be repaid each month: (620 - 320) / 6 = $50
The linear function: =620 - 50x.
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A 13-foot ladder is leaning against a building, forming a right triangle.
The height where the ladder touches the building is seven feet more
than the distance from the base of the ladder to the building. At what
height does the ladder touch the building?
The height from the ground at which the ladder touched the building is 12feet.
What is a right-angled triangle?A right-angled triangle is a type of triangle that has three sides and one of its three angles as 90°.
Analysis:
The ladder length, height of the ladder from the ground, and the distance of the foot of the ladder from the foot of the building form a right angle triangle.
let x, be the distance from the foot of the building to the foot of the ladder.
x+7 = height of ladder from building to foot of building.
length of ladder = 13 feet
using Pythagoras, we have
[tex](13)^{2}[/tex] = [tex]x^{2}[/tex] + [tex](x+7)^{2}[/tex]
169 = [tex]x^{2}[/tex] + [tex]x^{2}[/tex] + 7x + 7x + 49
169 = 2[tex]x^{2}[/tex] + 14x + 49
2[tex]x^{2}[/tex] + 14x = 169-49
2[tex]x^{2}[/tex] + 14x = 120
divide through by 2
[tex]x^{2}[/tex] + 7x - 60 = 0
[tex]x^{2}[/tex] +12x -5x - 60 = 0
(x+12) -5(x+12) = 0
(x+12)(x-5) = 0
x = -12 or 5
Since measurement cannot be negative, therefore x = 5
Height the ladder touches the building is x+7 = 5+7 = 12 feet
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A convoy must carry 44 tons of goods. Because there are 3 trucks that are assigned to other jobs, each of the remaining trucks has to carry an additional 1.5 tons. How many cars did the group have at the beginning? (Know that each truck carries the same number of goods).
please help me!!