Answer:
13. B. 24 cm²
14. y = 5⅝ (none of the options is correct)
Step-by-step explanation:
13. The figure is a trapezoid
Area of the trapezoid = ½(a + b)h
Where,
a = 3 cm
b = 5 cm
h = 6 cm
Area = ½(3 + 5)6
= ½(8)6
= 4*6
= 24 cm²
14. Area of the triangle = ½*b*h
The area is given to be 45 cm²
base (b) = 16 cm
height (h) = y
Plug in the values and solve for y
45 = ½*16*y
45 = 8y
Divide both sides by 8
45/8 = 8y/8
45/8 = y
5⅝ = y
y = 5⅝ (none of the options is correct)
The one-time fling! Have you ever purchased an article of clothing (dress, sports jacket, etc.), worn the item once to a party, and then returned the purchase? This is called a one-time fling. About 15% of all adults deliberately do a one-time fling and feel no guilt about it! In a group of eight adult friends, what is the probability of the following?
a. no one has done a one time fling
b. at least one person has done a one time fling
c. no more than two people have done a one time fling
Answer:
[tex](a)\ P(x = 0) = 0.2725[/tex]
[tex](b)\ P(x \ge 1) =0.7275[/tex]
[tex](c)\ P(x \le 2) = 0.8948[/tex]
Step-by-step explanation:
Given
[tex]n = 8[/tex] --- 8 friends
[tex]p = 15\%[/tex] --- proportion that one-time fling
This question is an illustration of binomial probability, and it is represented as:
[tex]P(X = x) = ^nC_x* p^x * (1 - p)^{n-x}[/tex]
Solving (a): P(x = 0) --- None has done one time fling
[tex]P(x = 0) = ^8C_0* (15\%)^0 * (1 - 15\%)^{8-0}[/tex]
[tex]P(x = 0) = 1* 1 * (1 - 0.15)^{8}[/tex]
[tex]P(x = 0) = 0.85^8[/tex]
[tex]P(x = 0) = 0.2725[/tex]
Solving (b): [tex]P(x \ge 1)[/tex]
To do this, we make use of compliment rule:
[tex]P(x = 0) + P(x \ge 1) =1[/tex]
Rewrite as:
[tex]P(x \ge 1) =1 - P(x = 0)[/tex]
[tex]P(x \ge 1) =1 - 0.2725[/tex]
[tex]P(x \ge 1) =0.7275[/tex]
Solving (c): [tex]P(x\le 2)[/tex]--- Not more than 2 has one time fling
This is calculated as:
[tex]P(x\le 2) = P(x = 0) + P(x =1) + P(x = 2)[/tex]
We have:
[tex]P(x = 0) = 0.2725[/tex]
[tex]P(x = 1) = ^8C_1* (15\%)^1 * (1 - 15\%)^{8-1}[/tex]
[tex]P(x = 1) = 8* (0.15) * (1 - 0.15)^7[/tex]
[tex]P(x = 1) = 0.3847[/tex]
[tex]P(x = 2) = ^8C_2* (15\%)^2 * (1 - 15\%)^{8-2}[/tex]
[tex]P(x = 2) = 28* (0.15)^2 * (1-0.15)^6[/tex]
[tex]P(x = 2) = 0.2376[/tex]
So:
[tex]P(x\le 2) = P(x = 0) + P(x =1) + P(x = 2)[/tex]
[tex]P(x \le 2) = 0.2725 + 0.3847 + 0.2376[/tex]
[tex]P(x \le 2) = 0.8948[/tex]
6% of 35000 is equal to:
Step-by-step explanation:
6% of 35000
6/100×35000
=2100
hope it helps you
Step-by-step explanation:2100
Look at ZV SW and ZTSW in the image below.
Which of the following is the best description for this pair of angles?
O acute
O complementary
O straight
supplementary
Answer:
Supplementary is your answer
(-0.3)2 ÷ (-0.2)+(-2.56)
Answer:
−0.2542372881
Can y’all help me please
Answer:
w = 5
Step-by-step explanation:
The perimeter of a rectangle is given by
P = 2(l+w)
28 = 2(2w-1 + w)
Combine like terms
28 =2(3w-1)
Divide each side by 2
28/2 = 2/2(3w-1)
14 = 3w-1
Add 1 to each side
14+1 = 3w-1+1
15 = 3w
Divide each side by 3
15/3 =3w/3
5 =w
Consider this linear function:
y= 1/2x+1.
Plot all ordered pairs for the values in the domain.
D: {-8, -4, 0, 2, 6}
Answer:
(-8,-3)
(-4,-1)
(0,1)
(2,2)
(6,4)
Step-by-step explanation:
One by one, substitue the x values and solve for y
Answer:
negative 4
Step-by-step explanation:
go
URGENT.. pls help NO links
Answer:
.83
Step-by-step explanation:
we want
(sports∩Senior)/Senior
we can see that sports∩senior= 25
and senior= 25+5+5=30
25/30= .83
Solve this equation 3-2.7(8-x)=16.5
Answer:
=13 :D
Step-by-step explanation:
Im bIg BrAiN
Answer:
x=13
Step-by-step explanation:
See image below:)
The radius of a circle is 6 kilometers. What is the area of a sector bounded by a 126° arc?
Give the exact answer in simplest form.
____ square kilometers. (pi, fraction,)
Answer:
[tex]12.6\pi\:\mathrm{km^2}\:\text{or }\frac{63}{5}\pi\:\mathrm{km^2}[/tex]
Step-by-step explanation:
The area of a sector with measure [tex]\theta[/tex] in degrees is given by [tex]r^2\pi\cdot\frac{\theta}{360}[/tex], where [tex]r[/tex] is the radius of the sector.
What we're given:
[tex]r[/tex] of 6[tex]\theta[/tex] of [tex]126^{\circ}[/tex]Substituting given values, we get:
[tex]A_{sec}=6^2\pi \cdot\frac{126}{360}=\boxed{12.6\pi\:\mathrm{km^2}}[/tex]
The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?
The real solutions of f(x) = 0 are; x=5, x=7 and x=8.
Solutions of the graph of a functionThe real solutions of the graph of the function, f(x) from the given graph is the set of points on which the graph intersects the x-axis.
On this note, it follows that the solutions of the graph of f(x) = 0 are; x=5, x=7 and x=8.
Read more on solutions of a graph;
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Three friends play a game, Jamila has
more points than Carter Carter has 7 more
points than Aisha Jamila has 26 points. Write
and solve an equation to find the number of
points Alsha has.
Answer:Hence.the answer is 14.
Step-by-step explanation:
Got it right on my test
If 21% of males and 15% of females in a given state play the guitar what is the probability that a randomly selected subject in the state plays the guitar given that the subject is male
Answer: if we were to say that the population was 50% male and 50% female, than 21% of the males would play the guitar and 15% of the females would also play the guitar, if it is talking about the population in geteral, than 21% of men and 15% of female play the guitar, but the remaining 64% of people don't play the guitar.... i don't think this is the answer, so if you chose my first case, the answer would be 0.105 for males or 10.5 % or percent of males play guitar in the state
Step-by-step explanation: chose one of my cases
Answer:0.21
Step-by-step explanation:
PLATO
eliminate t
If x=2at/(1+t²)
, Y=b(1-t²)/(1+t²)
Answer:
x=2at/(1+t²)
dx/dt =[(1+t²)(2at)'-(2at)(1+t²)']/(1+t²)²
dx/dt=[(1+t²)(2a)-(2at)(2t)]/(1+t²)²
dx/dt=[2a+2at²-4at²]/(1+t²)²
dx/dt=[2a-2at²]/(1+t²)²
y=[b(1-t²)]/(1+t²)
dy/dt=[(1+t²)(b(1-t²))'-b(1-t²)(1+t²)']/(1+t²)²
dy/dt=[((1+t²)(-2bt)-b(1-t²)(2t)]/(1+t²)²
dy/dt=(-2bt-2bt³-2bt+2bt³)/(1+t²)²
dy/dt=(-4bt)/(1+t²)²
dy/dx=(dy/dt)/(dx/dt)
dy/dx=[(-4bt)/(1+t²)²]/[(2a-2at²)/(1+t²)²]
Cancelling common denominator
dy/dx=(-4bt)/(2a-2at²)
dy/dx=(-2bt)/(a-at²)
dy/dx=(2bt)/(at²-a)
Differentiating the above equation
y''=d²y/dx²=D[(2bt)/(at²-a)]
y''=[(at²-a)D(2bt)-(2bt)D(at²-a)]/(at²-a)²
y''=[(at²-a)(2b)(dt/dx)-(2bt)(2at)(dt/dx)]/(at²-a)²
dt/dx=(1+t²)²/(2a-2at²)
y''=[(at²-a)(2b)[(1+t²)²/(2a(1-t²))]-
(4abt²)[(1+t²)²/(2a-2at²)]/(at²-a)²
y''=[(-b)(1+t²)²-(2bt²)[(1+t²)²/(1-t²)]/(at²-a)²
y''=[(-b)(1+t²)²(1-t²)-(2bt²)(1+t²)²]/[(1-t²)(at²-a)²]
y''=[b(1+t²)²(t²-1)-2bt²(1+t²)²]/[(1-t²)(at²-a)²]
Step-by-step explanation:
Under ideal conditions a certain bacteria population is known to double every four hours. Suppose that there are initially 50 bacteria.
(b) What is the size of the population after t hours?
(c) What is the size of the population after 17 hours? (Round your answer to the nearest whole number.)
Answer:
(b) a = 50 * 2^(t/4)
(c) 951
Step-by-step explanation:
After t hours
a = 50 * 2^(t/4)
After 17 hours
a = 50 * 2^(17/4)
a = 50 * 2^(4.25)
Use calculator
a = 951.3656920022
Rounded
a = 951
What is the first step in evaluating the expression below?
12 + 6 - 4 : (2 + 5)
O Divide 4 by 2
O Add 2 and 5
O Add 12 and 6
O Subtract 4 from 6
Answer:
add two and five is the first step beacuse there in ()
Step-by-step explanation:
Answer:
Parentheses. Add 2 and 5.
Step-by-step explanation:
Use the P.E.M.D.A.S expression. (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.) As you can see, there are parentheses in your expression, so use PEMDAS to do order of operations problems like this.
I need help I need this plz
Answer:
The correct answer is 5 2/15
Step-by-step explanation:
Since the numerators on both numbers are opposite, you have to go through an equation to make them equal.
4/5 and 1/3 don't have the same numerator. Because of this, you have to find the least common multiple.
5, 10, 15
3, 6, 9, 12, 15
Now that we found said number, we have to multiply the denominators so they match as well. How we do that is by multiplying the number by how many times the numerator has been multiplied to.
Since 5 had to be multiplied by 3 to get to 15, you would multiply 4 by three, giving you 12/15. Same goes with the other fraction, 3 times 5 got us 15, so we would multiply 1 by 5, giving us 5/15.
Now it's as simple as adding. 12/15 + 5/15 = 17/15, which will make 1 2/15. Add that to the whole numbers you have and you will get 5 2/15. (Note: You cannot simplify 2/15, so you leave it as is)
How fast was a driver going if it left skid marks that were 63 feet long on wet concrete? (The
coefficient of friction is 0.97)?
O 61 mph
31 mph
O 334 mph
43 mph
The required speed of the driver is 33.4 mph.
To determine how fast was a driver going and if it left skid marks that were 63 feet long on wet concrete. (The coefficient of friction is 0.97)?
What is speed?Speed is the ratio of distance traveled to time taken to travel that distance.
What is friction?Friction is defined as resistance force from one surface to the other between two solid materials caused by reciprocal movement is called friction. And the force applied is called friction force.
Since from given
f = 0.97
left skid marks that were 63 feet long on wet concrete.
d = 63 feets
g = 9.8
V = √( 2g * F * D )
V = √(2 * 9.8 * 0.97 * 63 )
V = 33.4mph
Thus, The required speed of the driver is 33.4 mph.
Learn more about speed here:
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#SPJ5
What is the area of the polygon given below?
6
14
13
A. 287 square units
B. 195 square units
c. 117 square units
D. 181 square units
PREVIO
Help with the slop for each one thanks
Answer:
13. zero slope
14. 1/2
15. undefined slope
16.-3/2 slope
Expand and simplify the following expression:
(2x + 1)^2 – (2x + 1)
Answer:
(2x-2)
Explanation:
(2x-1)^2-(2x+1)
(4x-1)-(2x+1)
2x+2 ans
Question 8 of 10
Use the matrix tool to solve the system of equations. Choose the correct
ordered pair.
6x + 3y = 54
5x + 2y = 43
Answer:
(x, y) =(7, 4)
Step-by-step explanation:
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Answer each question about the following arithmetic series:
12 + 18 + 24 + 30 + . . . + 198
What is the value of the arithmetic series?
630
1,260
3,360
6,336
Answer:
(c) 3360
Step-by-step explanation:
Given
The above arithmetic series where:
[tex]T_1 = 12[/tex] --- first term
[tex]d = 6[/tex] --- the common difference (18 - 12 = 6)
[tex]T_n = 198[/tex] --- The last term
Required
The value of the series
First, we calculate n using:
[tex]T_n = T_1 + (n - 1)d[/tex]
This gives:
[tex]198 = 12 + (n - 1)*6[/tex]
Collect like terms
[tex]198 - 12 = (n - 1)*6[/tex]
[tex]186 = (n - 1)*6[/tex]
Divide both sides by 6
[tex]31 = (n - 1)[/tex]
Make n the subject
[tex]n = 31 + 1[/tex]
[tex]n=32[/tex]
The sum of the series is:
[tex]S_n= \frac{n}{2}(T_1 + T_n)[/tex]
So, we have:
[tex]S_n= \frac{32}{2}(12 + 198)[/tex]
[tex]S_n= \frac{32}{2}*210[/tex]
[tex]S_n= 16*210[/tex]
[tex]S_n= 3360[/tex]
[tex]f(x)=2\frac{1}{2} - 3\frac{1}{3}[/tex]
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{f(x) = 2\dfrac{1}{2}-3\dfrac{1}{3}}[/tex]
[tex]\rightarrow\mathsf{y = 2\dfrac{1}{2}- 3\dfrac{1}{3}}[/tex]
[tex]\rightarrow\mathsf{y = \dfrac{5}{2}- \dfrac{10}{3}}[/tex]
[tex]\rightarrow\mathsf{y =( \dfrac{5}{2}\times\dfrac{3}{3}) - (\dfrac{10}{3}\times\dfrac{2}{2})}[/tex]
[tex]\mathsf{5\times3=\boxed{\bf 15}}\\\\\mathsf{2\times3=\boxed{\bf 6}}}\\\\\mathsf{10\times2=\boxed{\bf 20}}\\\\\mathsf{3\times2=\boxed{\bf 6}}[/tex]
[tex]\rightarrow{\mathsf{y =\dfrac{15}{6}-\dfrac{20}{6}}[/tex]
[tex]\rightarrow\mathsf{y = \dfrac{15-20}{6}}[/tex]
[tex]\mathsf{15-20=\boxed{\bf -5}}\\\\\\\mathsf{6= \boxed{\bf 6}}\textsf{ because \underline{6} is the LCD (\underline{L}east \underline{C}ommon \underline{D}enominator}[/tex]
[tex]\boxed{\mathsf{y =\bf -\dfrac{5}{6}}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \bf y = }\mathsf{\bf -\dfrac{5}{6}}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Which of the following should be avoided when proving a trigonometric identity?
Rewriting all expressions in terms of Sine and Cosine.
Factoring
Using a common denominator
Multiplying each side by the same value
This is part of my homework and I can't contact my teacher for it so I need some help
Answer:
cosine
Step-by-step explanation:
fundamental trigonometric identities
Which statement proves that this angle pair is the Corresponding Angles Theorem.
Criteria Laval
Answer:
its jess
here is ur ans
first option is your answer
• ANGLE 2 AND ANGLE 6 ARE CONGRUENT BECAUSE THEY ARE CORRESPONDING ANGLES.
A teacher interested in determining the effect of a new computer program on learning to read conducted a study. One hundred students were randomly assigned to one of two groups. The first group used the computer program while the second group did not. Both groups were tested to determine how much their reading levels improved. The results for the two groups were compared. What kind of study is this? (2 points)
This is an experiment because a treatment was applied to a group.
This is an experiment because students were able to choose which group to join. This is a survey because students were randomly assigned to groups.
This is a survey because a treatment was applied to both groups.
Answer:
An essay is, generally, a piece of writing that gives the author's own argument, but the definition is vague, overlapping with those of a letter, a paper, an article, a pamphlet, and a short story. Essays have traditionally been sub-classified as formal and informal. Formal essays are characterized by "serious purpose, dignity, logical organization, length," whereas the informal essay is characterized by "the personal element (self-revelation, individual tastes and experiences, confidential manner), humor, graceful style, rambling structure, unconventionality or novelty of theme," etc.[1]
Essays are commonly used as literary criticism, political manifestos, learned arguments, observations of daily life, recollections, and reflections of the author. Almost all modern essays are written in prose, but works in verse have been dubbed essays (e.g., Alexander Pope's An Essay on Criticism and An Essay on Man). While brevity usually defines an essay, voluminous works like John Locke's An Essay Concerning Human Understanding and Thomas Malthus's An Essay on the Principle of Population are counterexamples.
In some countries (e.g., the United States and Canada), essays have become a major part of formal education. Secondary students are taught structured essay formats to improve their writing skills; admission essays are often used by universities in selecting applicants, and in the humanities and social sciences essays are often used as a way of assessing the performance of students during final exams.
The concept of an "essay" has been extended to other media beyond writing. A film essay is a movie that often incorporates documentary filmmaking styles and focuses more on the evolution of a theme or idea. A photographic essay covers a topic with a linked series of photographs that may have accompanying text or captions.
Contents
1 Definitions
2 History
2.1 Montaigne
2.2 Europe
2.3 Japan
2.4 China
3 Forms and styles
3.1 Cause and effect
3.2 Classification and division
3.3 Compare and contrast
3.4 Expository
3.5 Descriptive
3.6 Dialectic
3.7 Exemplification
3.8 Familiar
3.9 History (thesis)
3.10 Narrative
3.11 Argumentative
3.12 Process
3.13 Economic
3.14 Reflective
3.15 Other logical structures
4 Academic
5 Magazine or newspaper
6 Employment
7 Non-literary types
7.1 Film
7.2 Music
7.3 Photography
7.4 Visual arts
8 See also
9 References
10 Further reading
11 External links
Step-by-step explanation:
Lin's meal cost $17.99. She left a tip that was approximately
15% of the cost of her meal. Which amount did Lin leave as
a tip?
Yesterday, Marissa walked 1 1/2 miles from school to the ice
cream shop and 2/3 of a mile from
the ice cream shop to her house. How many miles did Marissa walk in all?
Ill give brainliest
Answer:
2 1/6 miles
Step-by-step explanation:
1 1/2 miles + 2/3 miles = 2 1/6 miles
mrs smith had 27 students in her class last year and this year she had 30 students in her math class. what is the percentage change
Answer:
the answer is 24%
Step-by-step explanation:
quizzes.com
The total amount of water a tank can hold is 14 and one-half gallons. Raul wants to find out how many 1 and one-fourth-gallon buckets of water can be used to fill the tank. Which expressions could be used to represent this scenario? Select two options..
Answer:
A and C
Step-by-step explanation:
I got 100% on quiz
Answer:
A and C
Step-by-step explanation:
try it it works