Ms. Stewart teaches three science classes. Her students are freshmen and
sophomores. Her student data are shown in the relative frequency table.
Which statement is false?
Answers
The statement that is false is 15% of her students are in biology, the correct option is A.
How to form two-way table?Suppose two dimensions are there, viz X and Y. Some values of X are there as X_1, X_2, ... , X_n and some values of Y are there as Y_1, Y_2, ... , Y_n
List them in title of the rows and left to the columns. There will be n \times k table of values will be formed(excluding titles and totals), such that:
Value(ith row, jth column) = Frequency for intersection of X_i and Y_j (assuming X values are going in rows, and Y values are listed in columns).
Then totals for rows, columns, and whole table are written on bottom and right margin of the final table.
For n = 2, and k = 2, the table would look like:
[tex]\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&n(X_1 \cap Y_1)&n(X_1\cap Y_2)&n(X_1)\\X_2&n(X_2 \cap Y_1)&n(X_2 \cap Y_2)&n(X_2)\\\rm Total & n(Y_1) & n(Y_2) & S \end{array}[/tex]
where S denotes total of totals, also called total frequency.
n is showing the frequency of the bracketed quantity, and intersection sign in between is showing occurrence of both the categories together.
We are given that;
The relative frequency table
Now,
This is because the relative frequency table shows that 0.15 of her students are freshmen in biology and 0.2 of her students are sophomores in biology. Therefore, the total percentage of her students in biology is 0.15 + 0.2 = 0.35, which is 35%, not 15%.
The other statements are true based on the relative frequency table.
Therefore, by the two-way table the answer will be 15% of her students are in biology.
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Related Questions
4. Mr. A has 3 acres of land. He gave 1 % acres of land to his friend. How many acres of land does Mr. A have now?
Answers
Answer:
1% given away means 1/100 × 3= 0.03
therfore what is left is : 3-0.03= 0.97
Answer:
1% means 1/100, so 1% of 3 acres of land = 1/100×3 = 3/100 or 0.03 acres of land. Since he gave 0.03 acres of land away, Mr A has 3-0.03 = 2.97 acres of land
What is the area of the figure? The figure is not drawn to scale.
05.1 cm²
011.7 cm²
027.72 cm²
O55.44 cm²
Answers
Answer:
27.72 cm^2
Step-by-step explanation:
Parallelogram's area = base x height
= 3.3 x 8.4
= 27.72 cm^2
Drag each tile to the correct box.
A data set that consists of many values can be summarized using the five-number summary. Arrange these five values in order from least to greatest.
maximum
minimum
Q3
Q1
median
< < <
Answers
The five-number summary as displayed in a box plot attached below, from the least to the greatest is: Minimum < Q1 < Median < Q3 < Maximum
What is the Five-number Summary?The five-number summary can be described as a set of data points or values that summarizes the distribution of a data.
The diagram attached below shows the five-number summary as displayed by a box plot.
From the least to the greatest, the five-number summary consist of:
Minimum < Q1 < Median < Q3 < Maximum
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8. What value of n makes the equation below have
infinitely many solutions?
-2(6x+2)=nx-4
Answers
Answer:
[tex]n=-12[/tex]
Step-by-step explanation:
[tex]\text{When}~ n = -12,\\\\~~~~~-2(6x+2) = -12x-4\\\\\implies -12x -4 = -12x -4 \\\\\text{Since both sides are equal for all values of x, there are infinitely many solutions.}[/tex]
A square has a perimeter of 36x - 12. Which expression represents one side of the
square?
Answers
Answer:
9x - 3
Step-by-step explanation:
Hello!
A square has 4 sides.
We can factor out 4 from the expression to find the value of one side.
Factor:
36x - 124(9x) - 4(3)4(9x - 3)This means that each side of the square is 9x - 3 units long.
What is the measure of the arc from A to B that does not pass through C?
(Fill in the blanks)
Answers
Applying the inscribed angle theorem, the measure of the arc from A to B is: 100 degrees.
What is the Inscribed Angle Theorem?The inscribed angle theorem states that an inscribed angle in a circle is half the central angle.
Angle BAC = 40 degrees, so, central angle = 80 degrees. Arc BC would also be 80 degrees.
Measure of arc AC through point B = 180 degrees.
Arc AB = 180 - 80 = 100 degrees.
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Simplify the expression.
8 -4
x y
x−6y-6
Write your answer without negative exponents.
Enter the correct answer
Answers
Answer:
8 - 4x^2y - 6y^6
Step-by-step explanation:
If the exponent is a positive integer it's equivalent to the base multiplied by itself n times. If the exponent is O, the expression is evaluated as 1. If the exponent is a negative integer it's equivalent to 1 divided by the base multiplied by itself n times.
If the exponent is a rational expression, n/ m, it's equivalent to the mth root of the base raised to thenth power.
Using the 4 train car strategy for factoring polynomials, what is the green common factor for the 1st two train cars and the green common factor for the 3rd and 4th train car: . note: the answers are intermediary steps. do not enter the final step or factored form, but this question is asking what is the intermediate step as the answer.
2x^2 + 4x + 3xy + 6y
enter your answer in the boxes.
Answers
The completely factored expression of 2x^2 + 4x + 3xy + 6y is (2x + 3y)(x + 2)
How to factor the polynomial?The expression is given as:
2x^2 + 4x + 3xy + 6y
Group the expression into two
[2x^2 + 4x] + [3xy + 6y]
Factor out each group
2x(x + 2) + 3y(x + 2)
Factor out x + 2
(2x + 3y)(x + 2)
Hence, the completely factored expression of 2x^2 + 4x + 3xy + 6y is (2x + 3y)(x + 2)
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Answer:
Step-by-step explanation:
ans in picture
30 In right triangle PRT, m/P = 90°, altitude PQ is drawn to hypotenuse RT. RT = 17, and
PR = 15.
Determine and state, to the nearest tenth, the length of RQ
Answers
Using the cosine ratio formula, the length of RQ to the nearest tenth is: 13.2.
What is the Cosine Ratio Formula?The cosine ratio formula is given as, cos ∅ = length of adjacent side / length of hypotenuse.
Find m∠PRT in ΔPRT using the cosine ratio formula:
cos(m∠PRT) = 15/17
m∠PRT = cos^(-1)(15/17)
m∠PRT ≈ 28.07°
Find RQ in ΔPRQ using the cosine ratio formula:
cos(28.07) = RQ/15
RQ = cos(28.07) × 15
RQ ≈ 13.2
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could someone please answer this will give brainliest
Answers
Explanation:
PLEASE ANSWER THE PHOTO, BELLOW ILL GIVE HIGH RANK TYSM :}}}}}PLEASE MAKE SURE THEY ARE CORRECT :DDD
Answers
Answer:
a) 15:7
b) 1950 ml
c) There were 10 people in the group
Step-by-step explanation:
a) In its basic form, the ratio would be 750:350. However, to get it to it's most basic form, we must find the greatest common factor (GCF) of 750 and 350, which is 50. Then, we divide both numbers by the GCF so that 750 is 15 and 350 is 7. Therefore, the basic form of the ratio is 15:7.
b) First, we can find the amount of chicken stock needed for 12 people, which is just double of the recipe since the recipe is for 6 people. (900 * 2 = 1800). Then, we need to figure out how much chicken stock is required for one person since there are 13 and not 12. We can do this by multiplying 900 by 1/6 (since it's for 1 person out of the 6 people recipe) to get 150. Then, add the amount of chicken stock needed for 12 people and 1 person together. 1800 + 150 = 1950.
c) First, we must figure out how many grams of leeks are required for just one person. We can do this by taking the amount needed in the recipe (for 6 people) and dividing it by 6 to get the amount needed for 1 person. 750 divide by 6 is 125, so 125 g of leeks are required to make soup for 1 person. Then, we take the total amount of leeks that Delia used (1250) and divide that by 125 to get 10.
Given mn, find the value of x.
(7x-7)°
(6x+11)°
Answers
Answer:
x = 18
Step-by-step explanation:
the 2 angles are alternate exterior angles and are congruent, then
7x - 7 = 6x + 11 ( subtract 6x from both sides )
x - 7 = 11 ( add 7 to both sides )
x = 18
Answer:
18
Step-by-step explanation:
(7x-7)° = (6x+11)°------ (alternate exterior angles are equal)
Alternate exterior angles are the pair of angles that are located on the outer side of the parallel lines but on either side of the transversal.therefore,
7x-7= 6x+11
collect like terms
7x-6x = 11+7
x = 18
Adnan began with a number. he divided his number by 2, subtracted 6 from the quotient, took the square root of the difference, added 1 to the square root, and took the square root of the sum. his final result was 3. what was adnan's original number
Answers
Answer:
140
Step-by-step explanation:
To solve this, we must reverse all the steps Adnan took to get the final number of 3.
If the last thing he did was take the square root, we need to square 3 to get the result. [tex]3x^{2} =9[/tex], so the sum they are referring to in the prompt is 9.
Before that, it says he added 1, so we need to subtract 9-1=8 to get the previous number.
It says that he took the square root before that, so we need to square 8 to get [tex]8x^{2} =64[/tex].
It says that he subtracted 6 to get this number, so we have to add 6 to get[tex]64+6=70[/tex].
Since the first thing Adnan did was divide his number by 2, we must multiply 70 by 2 to get Adnan's original number: [tex]70*2=140.[/tex]
Adnan's original number was 140.
Hope this helps! :)
A step function h(x) is represented by y = -2Lx] Which phrase best describes the range of the function h(x)?
all real numbers
all rational numbers
all negative integers
Answers
The phrase best describes the range of the function h(x) is option A: all real numbers.
What is a range of a function?The range is the set of all values which the given function can output.
A step function h(x) is represented by y = -2|x|.
The mode of x gives the real number every time by putting the values.
The phrase best describes the range of the function h(x) is option A: all real numbers.
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The water was pumped out of a backyard pond. What is the domain of this
graph?
Water Depth
110
100
90
80
70
50
40
30
20
10
1 2 3 4 5 6 7 8 9 10 11 12 13
Time (minutes)
Depth (inches)
0
Answers
Using it's concept, it is found that the domain of the function is given by:
C. Real numbers between 0 and 12.
What is the domain of a function?
The domain of a function is the set that contains all possible input values of the function. In a graph, it is given by the values of the horizontal axis.
In the graph, the function is defined for real numbers between 0 and 12, hence option C is correct.
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Miguel wants to build a container out of sheet metal that has a volume of about 320 cubic inches . He
can choose from the following designs listed below.. Which of the objects described requires the lea
amount of sheet metal? Assume that no sheet metal will be wasted in the construction. Explain why
your answer is correct and why other options are incorrect. (Show the volume of each described objer
in your explanation).
a) A rectangular prism with length 8 in., width 8 in., and height 5 in.
b) A rectangular prism with length 10 in., width 8 in., and height 4 in.
c) A cylinder with radius 5 in., and height 4 in.
d) A square pyramid with base length 10 in., height 10 in., and slant height about 14 in.
Answers
Answer:
cylinder, has the least surface area
Step-by-step explanation:
We are to choose the shape that has the least surface area for the approximate volume desired. In general, the least area for the volume will be provided by a sphere, a "square" cylinder with height equal to diameter, and a cube, in order of increasing area.
__
We are asked to find the area and volume of two rectangular prisms, a cylinder, and a square pyramid. Then, we are to identify the shape with the least surface area. Volume and area formulas will be used for the purpose.
Rectangular PrismThe relevant formulas are ...
V = LWH
A = 2(LW +H(L +W))
for length L, width W, and height H.
a) prism 1
The given dimensions are L = W = 8 in, H = 5 in. Then the volume and area are ...
V = (8 in)(8 in)(5 in) = 320 in³
A = 2((8 in)(8 in) +(5 in)(8 in +8 in)) = 2(64 in² +80 in²) = 288 in²
b) prism 2
The given dimensions are L = 10 in, W = 8 in, H = 4 in. Then the volume and area are ...
V = (10 in)(8 in)(4 in) = 320 in³
A = 2((10 in)(8 in) +(4 in)(10 in +8 in)) = 2(80 in² +72 in²) = 304 in²
__
CylinderThe relevant formulas are ...
V = πr²h
A = 2πr(r +h)
for radius r and height h.
c) The given dimensions are r = 5 in, h = 4 in. Then the volume and area are ...
V = π(5 in)²(4 in) = 100π in³ ≈ 314 in³
A = 2π(5 in)(5 in +4 in) = 90π in² ≈ 283 in²
__
Square PyramidThe relevant formulas are ...
V = 1/3s²h
A = s(s +2H)
for base side dimension s, vertical height h, and slant height H.
d) The given dimensions are s = 10 in, h = 10 in, H = 14 in. Then the volume and area are ...
V = 1/3(10 in)²(10 in) = 1000/3 in³ ≈ 333 in³
A = (10 in)(10 in + 2×14 in) = 380 in²
__
SummaryThe proposed figures have volume and area (rounded to the nearest unit) as follows:
[tex]\begin{tabular}{|c|c|c|c|}\cline{1-4}&shape&V (in^3)&A (in^2)\\\cline{1-4}a&rect prism&320&288\\b&rect prism&320&304\\c&cylinder&314&\bf283\\d&pyramid&333&380\\\cline{1-4}\end{tabular}[/tex]
The proposed cylinder requires the least amount of sheet metal for its construction. It has the least surface area of all of the shape choices offered.
_____
Additional comment
For a volume of 320 in³, a cube would have a surface area of 280.7 in². A "square" cylinder would have an area of 260.0 in². A sphere would have an area of 226.2 in². The above areas are somewhat larger because the shapes depart from the ideal aspect ratio.
Which of the following best describes AD?
OA. Angle bisector
OB. Perpendicular bisector
OC. Median
OD. Altitude
B
17
D
17
C
Answers
Answer:
see the attachment photo!
just comment here if you need help
The best description about the line AD is,
⇒ Perpendicular bisector
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Triangle ABC is shown in figure.
Now, We have by figure;
BD = 17
DC = 17
Hence, We can say that;
Line AD is Perpendicular bisector of line BC.
Thus, The best description about the line AD is,
⇒ Perpendicular bisector
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ABCD is a quadrilateral
a) calculate the value of x.
b) when ABCD is drawn to scale would the lines be parrallel or not?
Answers
Explanation: a. 360-90=270
3x+2x+x= 6x and 6x=270 so divide both sides by 6x and x = 45
b. As you can see from the image below None of the lines would be parallel.
Evaluate the expression.
3
5
–
2
5
×
1
2
Write your answer as a fraction or as a whole or mixed number.
pls help need answer will mark brainiest
Answers
Answer:
because 3 and 5 the answer is 17
pleaseeee help me out
Answers
Answer:
78
Step-by-step explanation:
QT is a 180 straight line so 180-55-47
Hope its right!
Answer:
U-60
S-90
Q-80
ur welcome
what is the simple interest of $16000 interested for 5 years at 4% p.a?
Answers
Answer:
3200
Step-by-step explanation:
Simple interest = PRT/100
= (16000 × 5 × 4%\)/100
= 320000/100
= 3200
If f(x) = |x| + 9 and g(x) = -6, which describes the range of (f+g)(x)
Answers
The range exist on all real values. This can be written as (-infty, infty)
Range of a functionThe range is the value of the dependent variable for which it exists. Given the following functions
f(x) = |x| + 9 and;
g(x) = -6
Determine the sum
(f+g)(x) = |x| + 9 + (-6)
(f+g)(x) = |x| + 9 -6
(f+g)(x) = |x| + 3
Determine the range of the function
The range exist on all real values. This can be written as (-infty, infty)
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PLEASE HELP find the arch shown in red leave your answer in terms of pi
Answers
Answer:
Answer:1296π
Step-by-step explanation:
As we know,
Area of cicle=πr^2
= π(36)^2
=1296π
A rectangle is measured having side lengths 9.64\;\text{cm}9.64cm, correct to two decimal places, and 3.313\;\text{cm}3.313cm, correct to three decimal places. Estimate the area of the rectangle.
Answers
The area of the rectangle is 31.937 cm².
What is the area of the rectangle?A rectangle is a 2-dimensional quadrilateral with four right angles. A rectangle has two diagonals of equal length which bisect each other
Area of a rectangle = length x width
9.64 x 3.313 = 31.937 cm²
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The midpoint of AB given A (3, -12) and B (-1, -2) is (x, y). What are the
values of x and y?
Answers
Answer:
(1, - 7 )
Step-by-step explanation:
using the midpoint formula
given endpoints (x₁, y₁ ) and (x₂, y₂ ) , then
midpoint = ( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
here (x₁, y₁ ) = A (3, - 12 ) and (x₂, y₂ ) = B (- 1, - 2 )
midpoint = ( [tex]\frac{3-1}{2}[/tex] , [tex]\frac{-12-2}{2}[/tex] ) = ( [tex]\frac{2}{2}[/tex] , [tex]\frac{-14}{2}[/tex] ) = (1, - 7 )
Step-by-step explanation:
[tex] x_{m} , y_{m} \: = ( \frac{x _{1} + x_{2} }{2} ,\frac{y _{1} + y_{2} }{2}) \\ [/tex]
x1 = 3, x2 = (-1)
y1 = (-12), y2 = (-2)
[tex] x_{m} , y_{m} \: = ( \frac{3+ ( - 1) }{2} ,\frac{( - 12)+ ( - 2) }{2}) \\ [/tex]
[tex]x_{m} , y_{m} \: = ( \frac{3 - 1 }{2} ,\frac{( - 12) - 2 }{2}) \\ [/tex]
[tex]x_{m} , y_{m} \: = ( \frac{2 }{2} ,\frac{- 14 }{2}) \\ [/tex]
[tex]x_{m} , y_{m} \: = 1 ,( - 7)[/tex]
Find the quadratic equation with integral coefficients having roots 6 and 2.
Answers
The quadratic equation that has a root of 6 and 2 is x^2 - 8x + 12 = 0
How to determine the quadratic equation?The roots are given as:
x = 6 and x = 2
Rewrite as:
x - 6 = 0 and x - 2 = 0
Multiply both equations
(x - 6)(x - 2) = 0 * 0
Evaluate the product
x^2 - 6x - 2x + 12 = 0
Evaluate the difference
x^2 - 8x + 12 = 0
Hence, the equation that has a root of 6 and 2 is x^2 - 8x + 12 = 0
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30 divided by 5 - 2 + 7 = 3
Then , write down the correct equation.
Answers
Answer:
30 : (5 - 2 + 7) = 3Step-by-step explanation:
30 divided by 5 - 2 + 7 = 3
Then , write down the correct equation.
30 : (5 - 2 + 7) = 3
30 : (3 + 7) = 3
30 : 10 = 3
3 = 3
Please help me i need this finish by the hour
Answers
Answer:
60
Step-by-step explanation:
−−→
A
B
=
(
x
y
)
What values should
x
and
y
take?
−−→
A
B
=
(
x
y
)
What values should
x
and
y
take?
Note: Each horizontal or vertical division represents one unit.
X=
Y=
Answers
Answer:
X=1 and Y=4
By counting eacht vetmrtical divided units
There is a 30% chance that Jerry will have to wait for the bus for more than five minutes to go to office. What is the probability that he does not wait for more than five minutes all 5 days this week?
Answers
The probability that he does not wait for more than five minutes all 5 days this week is 0.16807
How to determine the probability?The probability that he waits for more than 5 minutes is:
p = 30%
This means that the probability that he does not wait for more than 5 minutes is
q = 70%
If he does not wait for more than five minutes all 5 days this week, the probability is:
P = q^5
This gives
P = (70%)^5
Evaluate
P = 0.16807
Hence, the probability that he does not wait for more than five minutes all 5 days this week is 0.16807
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