Answers
Answer:
less than
Step-by-step explanation:
Answer:
B) less than
Step-by-step explanation:
We can start by looking at the number infront of the fractions. We know that 2 is less than 3 which also means that 2 and 7/8 is less than 3 and 1/4.
I hope this helps!!
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Related Questions
A vessel is in the shape of a right circular cone. The
radius of the top is 8 cm and the height is 40 cm.
Water is poured into the vessel at a rate of 20 cm /s.
Calculate the rate at which the water level is rising
when
(i) the water level is 12 cm from the vertex,
(ii) the vessel is one-quarter full.
Answers
The conic water vessel of height 40 cm and radius 8 cm filled at 20 cm^3/s gives;
The rate at which the water level is rising when the water level is 12 cm from the vertex is approximately 1.1 cm/s.When the vessel is one-quarter filled the rate at which the water level is rising is approximately 0.21 cm/s.How can the water level rate be found?The volume of the vessel, v = π•r^2•h/3
[tex] \frac{h}{r} = \frac{40}{8} = 5[/tex]
h = 5•r
Therefore;
v = π•r^2•(h)/3 = π•(h/5)^2•h/3
v = π•h^3/75
By chain rule of differentiation, we have;
[tex] \frac{dv}{dh} = \frac{dv}{dt} \times \frac{dt}{dh} [/tex]
Which gives;
[tex]π• \frac{ {h}^{2} }{25} = 20 × \frac{dt}{dh} [/tex]
[tex] \frac{dh}{dt} = \frac{20}{\pi \frac{ {h}^{2} }{25} } [/tex]
When the height is 12 cm from the vertex, we have;
[tex] \frac{dh}{dt} = \frac{20}{\pi \frac{ {12}^{2} }{25} } = 1.1 [/tex]
The rate at which the water level is rising when the water level is 12 cm from the vertex is approximately 1.1 cm/s.When the vessel is one-quarter filled, we have;
v = π•h^3/75
π•(40)^3/(75×4) = π•h^3/75
10•(40)^2 = 16,000 = h^3
h = (16,000)^(1/3) = 25 (approx)
Which gives;
[tex] \frac{dh}{dt} = \frac{20}{\pi \frac{ {25}^{2} }{25} } = 0.21 [/tex]
When the vessel is one-quarter filled the rate at which the water level is rising is approximately 0.21 cm/s.
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2 If a hockey team loses 33% of the games they play, what is the probability that this team will win exactly 10 games out of their next 15?
a. 0.6%
b. 21.4%
c. 19.8%
d. 11.1%
Answers
So
P(A)=0.33P(A')=0.67Now
They win from 15games=10They lose=5The required probability
[tex]\\ \rm\rightarrowtail P(A')^{10}\times P(A)^5\times ^{15}C_{10}[/tex]
[tex]\\ \rm\rightarrowtail (0.33)^{5}\times (0.67)^{10}\times \dfrac{15!}{5!10!}[/tex]
[tex]\\ \rm\rightarrow 0.0039(0.0182)\times\dfrac{15(14)(13)(12)(11)10!}{5!10!}[/tex]
[tex]\\ \rm\rightarrowtail 0.00007098\times \dfrac{360360}{120}[/tex]
[tex]\\ \rm\rightarrowtail 0.00007098(3003)[/tex]
[tex]\\ \rm\rightarrowtail 0.213[/tex]
So probability
0.213(100)=21.3%Option B
Answer:
b. 21.4 % (nearest tenth)
Step-by-step explanation:
P(lose) = 33% = 0.33
P(win) = 1 - 0.33 = 0.67
Using binomial distribution X ~ B(n, p)
where n is the number of trials and p is the probability of success
⇒ X ~ B(15, 0.67)
Binomial probability formula:
[tex]\sf P(X=x)= \ _nC_x\cdot p^x \cdot(1-p)^{n-x}[/tex]
[tex]\sf \implies P(X=10)=15C10\cdot 0.67^{10} \cdot(1-0.67)^{15-10}[/tex]
[tex]\sf =3003 \cdot 0.67^{10} \cdot 0.33^5[/tex]
[tex]\sf =0.214226434...[/tex]
Converting to percentage:
0.214266434... x 100% = 21.4 % (nearest tenth)
Researchers randomly surveyed people at two amusement parks, Funland and Thrillville, to find out how many times they visit the park per year. Following are the data from the two surveys.
Funland: 4,1,2,1,5,6,3,2,4,3,2,6,1,3,2
Thrillville: 8,6,5,7,2,5,4,2,1,9,3,8,3,7,5,2,9,4,2,8
How many more times per year, on average, do people visit Thrillville than Funland?
Answers
On average, people visit Thrillville 2 more times per year than Funland.
AveragesTo determine how many more times per year, on average, do people visit Thrillville than Funland, the following calculation must be performed:
Funland: 4,1,2,1,5,6,3,2,4,3,2,6,1,3,2 = 4545 / 15 = 3Thrillville: 8,6,5,7,2,5,4,2,1,9,3,8,3,7,5,2,9,4,2,8 = 100100 / 20 = 55 - 3 = 2Therefore, on average, people visit Thrillville 2 more times per year than Funland.
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What are the new coordinates of the figure above if it is rotated 90 degrees clockwise about the origin ?
A. A’(1,-3), B’(1,-7),C’(-3,-7),D’(-3,-3)
B. A’(-3,-1),B’(-7,-1), C’(-7,3) D’(-3,3)
C. A’(-3,-1),B’(-7,-1),C’(-7,3),D(-3,3)
D.A’ (1,-3),B’(1,-7),C’(3,-7),D’(3,-3)
Answers
Answer: A
Step-by-step explanation:
PLEASE helpppppppp!!!!!!
Answers
Answer:
the correct answer is the second
Car #1 travels 288 miles in 4 hours. Car #2 travels 276 miles in 3
hours. What is the speed of car #1 in miles per hours
PLEASE HELP AURGENT
Answers
Step-by-step explanation:
288÷60(60 minutes in an hour) = 4.8
is this what you asked for?
giving brainlist please help me out
Answers
Answer:
681 m^3
Step-by-step explanation:
Winder only found part of the volume. He also needs to find the volume of the hemisphere.
I would first find the volume of the cylinder like Winder, then proceed to calculate the volume of the hemisphere, which is V = 4/3π(4^3)=27.16 m^3. The total volume inside the storage tank is 681 m^3 when rounded to the nearest cubic meter.
Farm workers plant 980 beans in 35 rows. How many beans do they plant in one row
Answers
Computer World ships
10 computer monitors at one time. The total mass of the shipment is
40 kilograms.
All of the monitors in the box have the same mass.
What is the mass of one of the computer monitors?
Answers
Answer:
4kg
Step-by-step explanation:
Computer World ships
10 computer monitors at one time. The total mass of the shipment is
40 kilograms.
All of the monitors in the box have the same mass.
What is the mass of one of the computer monitors?
10÷40=4kg
Answer:
4km
Step-by-step explanation:
Rose is 60 inches tall. how many feet tall is Rose
Answers
Answer:
5 feet
Step-by-step explanation: 60 divided by 12 inches is 5 feet
What is the difference between a factor of a number and a multiple of a number? use the number 25 has an example
Answers
Answer:
factor: a submultiple; an integer value that gives an integer quotient when the number is divided by it.multiple: the product of the number and another integerStep-by-step explanation:
FactorsA set of factors of a number (N) is a set of integers {f1, f2, f3, ...} whose product is the number:
f1 × f2 × f3 × ... = N
Often the term "factors" is used to mean "prime factors," the set of prime numbers whose product is N.
When N = 25, the prime factors are {5, 5}. That is ...
5×5 = 25
__
DivisorsA "divisor" of a number is a sub-multiple of N. That is, the quotient N/k is an integer for some divisor k of N. Usually, we're interested in integer divisors. All prime factors will be integer divisors of N. The term "factor" is often used when the term "divisor" is meant.
Divisors of N = 25 include 1, 5, and 25. There will be an odd number of integer divisors (as here) if the number N is a perfect square.
__
MultiplesFor an integer k, the value k×N is called a multiple of N, often, the k-th multiple of N.
Multiples of 25 include 25, 50, 75, 100, 125, and any other decimal number ending in 25, 50, 75, or 00.
__
Another example
When N=30, the prime factors are {2, 3, 5}. The divisors are {1, 2, 3, 5, 6, 10, 15, 30}. (Note there are an even number of divisors.) Multiples of 30 include 30, 60, 90, 120, ....
C.between which years would you guess the new stadium was built .explain your reasoning
Answers
Answer:
1996
Step-by-step explanation:
because the line chart started st 1996
A student wants to survey the sophomore class of 200 students about whether the school should require uniforms. A
random sample of 50 sophomores is surveyed and asked whether they support the school adopting uniforms. Of
the 50 sophomores, 12 say they would favor school uniforms. Assuming the conditions for inference have been met,
what is the 90% confidence interval for the true proportion of sophomores who favor the adoption of uniforms?
0.24 +1.96
0.24(1-0.24)
200
O 0.7601.964
0.76(1 -0.76)
200
O 0.24 +1.657
0.24(1-0.24)
50
O 0.76 +1.95
0.76(1-0.76)
50
Answers
Answer: C
Step-by-step explanation:
Given:
Sample size (n) = 50
x = 12
[tex]\widehat{\mathbf{p}}=\frac{\mathbf{x}}{n}=\frac{12}{50}=0.24[/tex]
Confidence level = 90%
α = 1 − 0.90 = 0.10
α/2 = 0.05
[tex]\text { Critical value }\left(z_{c}\right)=z_{\frac{\alpha}{2}}=z_{0.05}=1.6449[/tex]
(from standard normal table)
90% Confidence interval is,
[tex]\begin{aligned}&\text { Confidence interval }=\widehat{\mathbf{p}} \pm z_{c} \times \sqrt{\frac{\hat{\mathbf{p}}(1-\hat{\mathbf{p}})}{n}} \\&\text { C. I }=0.24 \pm 1.6449 \times \sqrt{\frac{0.24(1-0.24)}{50}} \\&\text { C. I }=0.24 \pm 1.65 \times \sqrt{\frac{0.24(1-0.24)}{50}}\left\end{aligned}[/tex]
Therefore, 90% confidence interval for the true proportion of sophomores who favour the adoption of uniforms is C
1. What number, when substituted for x in the following problem, will make the problem true?
6X + 8% = 107
Answers
Answer:
x = 17.82
Step-by-step explanation:
6x + 8% = 107
-8% -8%
or
107 - 0.08 = 106.92
-----------------------------------
6x = 106.92
÷6 ÷6
x = 17.82
------------------------------------
I hope this helps!
HELLLPPPPPPPP!!!!!!!!
An experiment consists of randomly drawing a card from a standard deck and recording its color, then rolling a die and recording its value.
The following tree diagram shows the possible outcomes.
A 2-column tree diagram: card & die. The card column has B & R. B & R each branch to the numbers 1 through 6 in the die column.
What is the probability of selecting a red card and rolling a number less than 3?
Enter your answer as a reduced fraction, like this: 3/14
Answers
The experiment of rolling the dice and selecting a card is an illustration of probabilities
The probability of selecting a red card and rolling a number less than 3 is 1/6
How to determine the probability?From the figure, we have:
Total outcomes = 12
Red card with a number less than 3 = 2
So, the probability of selecting a red card and rolling a number less than 3 is:
p = 2/12
Simplify
p = 1/6
Hence, the probability of selecting a red card and rolling a number less than 3 is 1/6
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The diagram shows a convex polygon. What Is The Value Of T?
Answers
Answer:
t = 9
Step-by-step explanation:
the sum of the exterior angles of a polygon is 360°
sum the exterior angles and equate to 360
10t + 16t + 53 + 73 = 360 , that is
26t + 126 = 360 ( subtract 126 from both sides )
26t = 234 ( divide both sides by 26 )
t = 9
Given that PO and overline WE are equidistant from the center, determine the value of m and n in the circle below.
US = 3m + 2
RU = -m + 9
PO = 20 - 14
EW = -2(2m + 1)
Answers
Based on the equidistant chords theorem, the value of m and n in the circle are:
m = 7/4 = 1.75
n = 1/2 = 0.5
What is the Equidistant Chords Theorem?The equidistant chords theorem states that, two chords are congruent if they are equidistant to the center of the same circle.
Given:
US = 3m + 2 RU = -m + 9 PO = 20 - 14 EW = -2(2m + 1)Thus, since US = RU, therefore chords PO and EW are congruent based on the equidistant chords theorem.
Therefore:
3m + 2 = -m + 9
Add like terms
3m + m = -2 + 9
4m = 7
m = 7/4
m = 1.75
20n - 14 = -2(2n + 1)
20n - 14 = -4n - 2
20n + 4n = 14 - 2
24n = 12
n = 12/24
n = 1/2 = 0.5
Therefore, based on the equidistant chords theorem, the value of m and n in the circle are:
m = 7/4 = 1.75
n = 1/2 = 0.5
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5. A ball is thrown into the air. It went 14 inches into the air is represented by the equation
h = -14t2 + 28t, where h represent the height and t represents the time. Determine when
the ball is thrown and how long it takes to hit the ground?
Answers
By defining that h(t) = 0 means that the ball is in the ground, we conclude that the ball is thrown at t = 0, and hits the ground again at t = 2.
When the ball is thrown?The height equation is:
h(t) = -14*t^2 + 28*t
When t = 0, we have: h(0) = 0
So it is in the ground, meaning that it is thrown at the time t = 0.
How long does it take to hit the ground?We need to find the other root of the quadratic equation, so we need to solve:
-14*t^2 + 28*t = 0
We can rewrite this as:
t*(-14*t + 28) = 0
The parenthesis is zero when:
-14*t + 28 = 0
t = 28/14 = 2
So at t = 2, the ball hits the ground.
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Whats the mean of 72+72+72+79+82+82+88?
Answers
Answer:
78.1428571429
Step-by-step explanation:
What is the solution of the inequality 9 - x^2<0?
Answers
Answer:
[tex]x < -3\quad \mathrm{or}\quad \:x > 3[/tex]
Step-by-step explanation:
Given:
[tex]9-x^2 < \:0[/tex]
Solve:
[tex]\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}[/tex]
[tex]9-x^2-9 < 0-9[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-x^2 < -9[/tex]
[tex]Multiply\:both\:sides\:by\:-1\:[/tex]
[tex]\left(-x^2\right)\left(-1\right) > \left(-9\right)\left(-1\right)[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x^2 > 9[/tex]
[tex]\mathrm{For\:}u^n\: > \:a\mathrm{,\:if\:}n\:\mathrm{is\:even}\mathrm{\:then\:}u\: < \:-\sqrt[n]{a}\:or\:u\: > \:\sqrt[n]{a}[/tex]
[tex]x < -\sqrt{9}\quad \mathrm{or}\quad \:x > \sqrt{9}[/tex]
[tex]\sqrt{9}=3[/tex]
[tex]x < -3\quad \mathrm{or}\quad \:x > 3[/tex]
~lenvy~
Jade is going out for pizza with her friend.For 60 dollars how many pizzas can she buy if each pizza costs 12 dollars
Answers
Answer:
jade can by 5 pizzas
60/12=5
he can buy 5 pizzas
p=5
The amount of time it takes for water to flow down a drainage
pipe is inversely proportional to the square of the radius of the
pipe. If a pipe of radius 1 cm can empty a sink in 22 seconds,
find the radius of the pipe that would allow the sink to drain
completely in 14 seconds.
PLEASE ANSWER FAST!
Answers
Using the proportional relationship, it is found that the radius of the pipe that would allow the sink to drain completely in 14 seconds is of 1.25 cm.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
[tex]y = kx[/tex]
In which k is the constant of proportionality.
If they are inverse proportional, the relationship is:
[tex]y = \frac{k}{x}[/tex]
In this problem, the amount of time is inversely proportional to the square of the radius of the pipe, hence:
[tex]t = \frac{k}{r^2}[/tex]
A pipe of radius 1 cm can empty a sink in 22 seconds, hence k = 22.
The radius for 14 seconds is:
[tex]t = \frac{k}{r^2}[/tex]
[tex]14 = \frac{22}{r^2}[/tex]
[tex]r^2 = \frac{22}{14}[/tex]
[tex]r = \sqrt{\frac{22}{14}}[/tex]
[tex]r = 1.25[/tex]
The radius of the pipe that would allow the sink to drain completely in 14 seconds is of 1.25 cm.
More can be learned about proportional relationships at https://brainly.com/question/25890103
Someone Help me please
Answers
Which expressions represent rational numbers? select all the apply. startroot 100 endroot startroot 100 endroot 13.5 startroot 81 endroot startroot 9 endroot startroot 729 endroot startroot 64 endroot startroot 353 endroot one-third startroot 216 endroot three-fifths 2.5
Answers
The expressions are irrational 1/3 + √216 and √64+ √353 and the expressions √100 × √100, 13.5 + √81, √9 + √729, and 1/5 + 2.5 are rational number.
What is a rational number?If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.
1. √100 × √100
→ √100 × √100
→ 10 × 10 = 100
This is a rational number.
2. 13.5 + √81
→ 13.5 + √81
→ 13.5 + 9 = 22.5
This is a rational number.
3. √9 + √729
→ √9 + √729
→ 3 + 27 = 30
This is a rational number.
4. √64+ √353
→ √64 + √353
→ 8 + √353
This is an irrational number.
5. 1/3 + √216
→ 1/3 + √216
→ 1/3 + √216
This is an irrational number.
6. 1/5 + 2.5
→ 1/5 + 2.5
→ 0.2 + 2.5 = 2.7
This is a rational number.
More about the rational number link is given below.
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Answer:
A, B, C, F
Step-by-step explanation:
edge
PLS PLS PLS HELP ME!!!
Answers
Answer:
68.
Step-by-step explanation:
90-degree angles.
90 - 22 = 68.
find the next three terms of the sequence 2000,200,20,...and write the term to term rule.
Answers
Answer:
2, 0.2, 0.02
The first number is 2000. The term to term rule is 'divide by 10'.
Step-by-step explanation:
To calculate the next term, divide the previous term by 10:
2000 ÷ 10 = 200
200 ÷ 10 = 20
Therefore, the next three terms will be:
20 ÷ 10 = 2
2 ÷ 10 = 0.2
2 ÷ 10 = 0.02
Term to term rule
To work out the term to term rule, give the initial number of the sequence and then describe the pattern:
The first number is 2000. The term to term rule is 'divide by 10'.
Select the correct answer.
Given the formula below, solve for x.
A.
B.
C.
D.
help me please
Answers
Answer:
C is the answer
Good luck! :)
in which quadrant is point (-4,5) located?
Answers
First quadrant (positive, positive)
Second quadrant (negative, positive)
Third quadrant (negative, negative)
Fourth quadrant (positive, negative)
What is the probability of rolling a sum of 8 with a pair of dice?
Answers
Answer:
[tex]\frac{5}{36}[/tex]
Step-by-step explanation:
the total number of possible combinations of rolling two dice is 36 because a side has 6 sides and [tex]6^{2}=36[/tex]
and possible combinations that sum to 8 are
2 and 63 and 54 and 45 and 36 and 2which are 5 possible combinations which gives [tex]\frac{5}{36}[/tex]
Find the length of side a.
A. 4
B. 2
C. 34
D. 16
Answers
Answer:
Side A is 4
Step-by-step explanation:
Answer:
A.4
Step-by-step explanation:
a = √(c² - b²)
a= √(5² -3b²)=4