The number of times Leah is expected to select a pen that is red or green is 460 and the expression is 23/40 * 800
How to determine the expected selection of red or green pen?The distribution of the pen is given as:
Red = 5
Green = 18
Blue = 17
The number of red or green pen is:
Red or green = 5 + 18
Evaluate
Red or green = 23
In a selection of 800 pen, the expected number of red or green pen is:
E(x) = 23/(5 + 18 + 17) * 800
Evaluate the sum
E(x) = 23/40 * 800
Evaluate the expression
E(x) = 460
Hence, the number of times Leah is expected to select a pen that is red or green is 460
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An atrium is being designed to house an exhibit of tropical birds. The atrium must enclose 250,000 cubic feet of space, and the designer wants it to have the shape of a hemisphere. Is such a design possible given that the plot of land on which it will be built is a rectangle 90 feet wide and 100 feet long?
The proposed design of the atrium (V < V') is possible since its volume is less than the maximum possible atrium.
Can this atrium be built in the rectangular plot of land?
The atrium with the maximum allowable radius (R), in feet, is represented in the image attached. The real atrium is possible if and only if the real radius (r) is less than the maximum allowable radius and therefore, the real volume (V), in cubic feet, must be less than than maximum possible volume (V'), in cubic feet.
First, we calculate the volume occupied by the maximum allowable radius:
V' = (8 · π / 3) · (45 ft)³
V' ≈ 763407.015 ft³
The proposed design of the atrium (V < V') is possible since its volume is less than the maximum possible atrium. [tex]\blacksquare[/tex]
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Latoya drove 585 miles in 9 hours. At the same rate, how many miles would she drive in 13 hours?
Answer:
845 miles
Step-by-step explanation:
Hope this helps!
Please I Need Help 20pts
To rent a certain meeting room, a college charges a reservation fee of $39 and an additional fee of $9.80 per hour. The math club wants to spend at most $117.40 on renting the meeting room. What are the possible amounts of time for which they could rent the meeting room? Use t for the number of hours the meeting room is rented, and solve your inequality for t.
Answer:
0 < t ≤ 8 (in hours)
Up to (and including) 8 hours
Step-by-step explanation:
Let t = number of hours the room is rented
Given:
Reservation fee = $39Fee per hour = $9.80Maximum total cost = $117.40Create an equation using the given information and solve for t:
⇒ 39 + 9.8t ≤ 117.4
Subtract 39 from both sides:
⇒ 9.8t ≤ 78.4
Divide both sides by 9.8
⇒ t ≤ 8
Therefore, the possible amounts of time for which they could rent the meeting room is 0 < t ≤ 8 (in hours)
Answer:
8 is the very maximum number of hours the room can be rented. As long as 8 is not exceeded, the room is rentable for what money the math club has.
Step-by-step explanation:
Givens
Maximum payment = 117.40Cost per hour = 9.80Fixed charge = 39 dollarsFormula
payment ≥ 39 + 9.80*t where t is in hours.
Solution
117.40 ≥ 39 + 9.80*t Subtract 39 from both sides.
117.40 - 39 ≥9.80*t
78.40 ≥ 9.80*t Divide by 9.8
78.40/9.80 ≥ 9.80*t/9.80
8 ≥ t
Answer t≥ 8
What is the definition of Comparative Advantage?
Answer:
When one country has a commercial advantage over another country.
Step-by-step explanation:
(This is actually an AP Human Geography question). Ex: Florida grows oranges better than Maine due to Florida’s tropical climate. Florida has the comparative advantage.
I need to put this equation into standard form help please!
-4.9t²+7.5t+1.8=21
20.5 yeah :)
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help me I need to make sure I got the correct answer.
Answer:
I dont know pls ask you parents...
Step-by-step explanation:
I dont know
line A is perpendicular to line B. if the slope of line A is -5/3, what is the slope of line B?
Answer: 3/5
Step-by-step explanation:
Perpendicular lines have slopes that are negative reciprocals of each other.
The variables a, b, and c represent polynomials where a = x2, b = 3x 2, and c = x – 3. what is ab – c2 in simplest form? 3x3 2x2 – x 3 3x3 2x2 – x – 3 3x3 x2 – 6x 9 3x3 x2 6x – 9
The simplest form of a^2-ab is given by 3x^3 + x^2 + 6x - 9.
We have given that,
a = x^2,
b = 3x + 2,
c = x – 3
We have to determine ab- c^2.
What is the meaning of the simplest form?
A fraction is in its simplest form when the numerator and the denominator have no common factors besides one.
ab- c^2
[tex]=x^2(3x+2) - (x-3)^2\\ =3x^3 + 2x^2 - (x^2 - 6x + 9) \\=3x^3 + 2x^2 - x^2 + 6x - 9 \\=3x^3 + x^2 + 6x - 9\\[/tex]
The simplest form of a^2-ab is given by 3x^3 + x^2 + 6x - 9.
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9(3+x)=4(3+x)
Answer with steps
Answer:
x = 2.5
Step-by-step explanation:
Expand the brackets[tex]27+9x=12+3x[/tex]Subtract 3x from both sides[tex]27+6x=12[/tex]Subtract 27 from both sides[tex]6x=-15[/tex]Divide both sides by 6[tex]x=2.5[/tex]Answer:
x = -3
Step-by-step explanation:
9(3+x) = 4(3+x)
9(3+x) - 4(3+x) = 0
(9-4)(3+x) = 0
5(3+x) = 0
15+5x = 0
-15 = 5x
x = -3
PLEASE PLEAS HELP ME !!!
please help me I will give BRAINLY , 5 STARS and a THANKS
Answer:
2, 4, 8
Step-by-step explanation:
Well, it says Max put $1 on the first day(which is already entered for you), then it says that he put in $2 on the second day. Then it says that he doubles how much he puts in each day after, which just means to multiply the last entered amount by 2. So, he put in 2 x 2 = $4 on the third day, and lastly, 4 x 2 = $8 on the fourth day.
Hope this helps :)
Madden needs to choose an object for his math project that shows volume. He has a choice between a container for catching bugs and a poster from his favorite movie. Which item should Madden choose and why?
Answer:
container for catching bugs because posters have nothing to do with volume
Answer:
I think Madden should go for the poster because poster have more angles as well as width length and height.
Step-by-step explanation:
Brainliest??????
PLS HELPPP I HAVE NO IDEA WHAT THIS IS HELPPPPP
Pls Pls help!! It's due soon!!
Answer:
-2,4
Step-by-step explanation:
to do a reflection across the y axis, apply -x,y to your coordinates
Find the volume, in cubic centimeters, of the rectangular prism pictured below.
3 cm
| 21 cm
2 cm
(Your answer must be entered as a mixed number with a simplified fraction)
HURRY
Answer:
Step-by-step explanation:
Formula
Use V = L*w* h
Givens
L = 3 cm
w = 2 1/2 cm
h = 2 1/2 cm
Solution
V = 3 * 2 1/2 * 2 1/2
Answer: V = 18 3/4 cm^3
A number, n, is multiplied by −0. 7. The product is -1/2. What is the value of n?
Step-by-step explanation:
-0.7n = -1/2
-0.7n = -0.5
n = 0.5/0.7
n = 0.715
$6.62 for 2 pounds of tomato’s
Answer:
$3.31 for each
Step-by-step explanation:
$6.62 divided by 2 = $3.31
Answer:
$6.62 divided by 2= $3.31
Step-by-step explanation:
What your going to do is divide 6 by 2 = 3
Next divided 62 by 2 = 32
Easy =)
Have a great day/night
Can someone help me solve this problem? 100-[5×(3+4)]
Answer:
65
Step-by-step explanation:
Use PEDMAS
P - Parenthesis ; E - exponents ; D -division ; M - mulitplication ;
A - Addition ; S- subtraction.
First do the operation in the inner most parenthesis.
100 - [ 5 *(3 + 4)] = 100 - [ 5* 7 ] {Now the outer parenthesis}
= 100 - 35
= 65
A 40-pound case of bananas costs $23.60. How much would a 70-pound case cost?
Answer:
$41.30
Step-by-step explanation:
First, divide 23.60 by 40
23.60/40 = 0.59
0.59 is the unit price, (or the worth of one {1} pound case)
0.59 * 70 = 41.3
$41.30 is the cost of a 70-pound case of bananas
hope this helps :)
Need help
read the question first
Answer:
A. horizontal velocity is constant at 25 m/s in every interval
B. downward velocity increases by 9.8 m/s each second, to 19.6 m/s, 29.4 m/s, 39.2 m/s, 49.0 m/s
Step-by-step explanation:
A.Since the ball is not rocket-powered, it has no acceleration in the horizontal direction. (We ignore slowing due to air friction.) The horizontal velocity remains constant at 25 m/s.
__
B.The vertical acceleration is given as 9.8 m/s² in the downward direction. That is, each second the ball is in motion, its velocity downward increases by 9.8 m/s. The table can be filled with ...
t = 2 s, v = -19.6 m/s
t = 3 s, v = -29.4 m/s
t = 4 s, v = -39.2 m/s
t = 5 s, v = -49.0 m/s
__
The sign is negative because the direction is downward. Positive is up.
A bag contains 6 blue marbles, 5 yellow marbles, 3 white marbles, and 1 red marble.
What is the probability of not selecting a white marble?
A. 2/3
B. 3/4
C. 4/5
D. 1/5
Please explain how you got the answer so I can learn
Any links and you will be reported please help
[tex]6 + 5 + 3 + 1 = 15 \: marbles[/tex]
Total number of possibilities excluding white marbles:[tex]6 + 5 + 1 = 12 \: marbles[/tex]
The probability of an event occuring is given by:[tex]p(a) = \frac{number \: of \: possibilities}{total \: number \: of \: possibilities} [/tex]
[tex]p(a) = \frac{12}{15} = \frac{4}{5} [/tex]
Letter CAnswer:
The total number of marbles in the bag is:
6 blue marbles + 5 yellow marbles + 3 white marbles + 1 red marble = 15 marbles
The probability of not selecting a white marble can be calculated as follows:
Number of non-white marbles / Total number of marbles
There are a total of 15 - 3 = 12 non-white marbles in the bag (6 blue marbles + 5 yellow marbles + 1 red marble).
So the probability of not selecting a white marble is:
12 / 15 = 4/5
Therefore, the answer is C) 4/5.
Step-by-step explanation:
What is b if a=2x and c= 8x on a right triangle
B is 5.625
A=2x
C=8x
5.625x2(x)*8(x)=90
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Find an equation for the line that passes through the points (6, -1) and (-6, 2).
Answer:
[tex]D : y = \frac{-1}{4}x + \frac{1}{2}[/tex]
Step-by-step explanation:
let D be the line that passes through the points (6, -1) and (-6, 2)
Then D has an equation of the form D: y = ax + b
Now we need to find a and b in order to be able to write the equation of the line D:
[tex]a = \frac{-1-2}{6-(-6)}= \frac{-3}{12}= \frac{-1}{4}[/tex]
Since the point (6 , -1) lies on the line D then :
-1 = (-1/4) × (6) + b
then
-1 = (-6/4) + b
then
b = -1 - (-6/4) = -1 + 6/4 = -4/6 + 6/4 = (-4+6)/4 = 2/4 = 1/2
then
b = 1/2
Conclusion:
Since a = -1/4 and b = 1/2 then
[tex]D : y = \frac{-1}{4}x + \frac{1}{2}[/tex]
Determine the amplitude or period as requested.
Period of y = negative one-third sine 2 x
a.
Negative one-third
b.
StartFraction pi Over 3 EndFraction
c.
One-third
d.
Pi
The time period of the given function will be π.
What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.We have the following expression -
y = (-1/3)sin(2x)
We have -
y = (-1/3)sin(2x)
We can write -
ωx = 2x
Now -
ω = 2π/T
(2π/T)x = 2x
2π/T = 2
T = 2π/2
T = π
Therefore, the time period of the given function will be π.
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Umberto bought a car for 28,000 the car is depreciating ata rate of 9% per year what wil be the approximent value of the car after 5 years
[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &28000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years\dotfill &5\\ \end{cases} \\\\\\ A=28000(1 - 0.09)^{5}\implies A=28000(0.91)^5\implies A\approx 17472.90[/tex]
Simplify ratio
1. 65:15
2. 56:45
3. 98:24
4. 380:56
5. 246:39
6. 98:112
7. 54:12
8. 87:15
9. 47:17
10. 90:117
1) 13:3
2) Same
3) 49:12
4) 95:14
5) 82:13
6) 7:8
7) 9:2
8) 29:5
9) Same
10) 10:13
Your basically dividing them by each other on a calculator
E.g. 90 ÷117 = 10/13
(10:13)
Or
20:30
20÷30=2/3
(2:3)
So, you could find the HCF of both numbers.
( highest factor of 20 & 30 is 10)
Hope this helps!
What is the y-intercept of the line: 8x - 4y = 20
Answer:
The y-intercept is 5
Step-by-step explanation:
First Step is to set y by itself:
4y = -8x + 20
y = -2x + 5
Remember: y = mx + b and b is the y intercept
b = 5
How to solve (3x)^0 for applying the exponent rule for zero exponents
0.21 Divided by 7 I would like to know how to solve the equation
Answer:
0.03
Step-by-step explanation:
[tex] \frac{0.21}{7} [/tex]
==>
[tex] \frac{0.21 \times 100}{7 \times 100} [/tex]
===>
[tex] \frac{21}{7} \times \frac{1}{100} [/tex]
==>
[tex]3 \times \frac{1}{100} [/tex]
==>
[tex] \frac{3}{100} [/tex]
==>
[tex]0.03[/tex]
Harry takes medicine every day. If the dosage is 0.2 of a gram per day, what is the total amount of medicine he consumes in a week?
Answer:
1.4 grams of medison for thr whole week combinded
Answer:
1.4 g
Step-by-step explanation:
0.2 gram per day x 7 days = 1.4 g total consumed in a week
WILL GIVE BRAINLIESTTT, FIVE STARS, AND THANKS
can someone explain this to me and what the question means and is asking?
In other words, it shows when the ball hits the ground.