A bowl contains only red marbles, blue marbles and green marbles. The probability of selecting a red marble from the bowl is 3/13. The probability of selecting a blue marble from the bowl is 2/5. There are fewer than 100 marbles in the bowl. What is the probability of selecting a green marble and then a red marble from the bowl on the first two selections, assuming marbles are not returned to the bowl after being pulled
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Explanation:
3/13 = 15/65 after multiplying top and bottom by 5
2/5 = 26/65 after multiplying top and bottom by 13
Let's say there are 65 marbles in the bowl. That would mean 15 of them are red (since 15/65 reduces to 3/13) and 26 are blue. That gives 15+26 = 41 so far. Leaving 65-41 = 24 marbles that must be green.
The probability of selecting a green marble is 24/65. Once that first green marble is taken out, it is not replaced. We have 65-1 = 64 marbles left, 15 of which are red. The probability of picking red on the second selection is 15/64.
Multiply the fractions mentioned:
(24/65)*(15/64)
(24*15)/(65*64)
360/4160
9/104
Determine which postulate or theorem can be used to prove that ASEA = A PEN E O A. ASA OB. SSS O C. AAS O D. SAS
Answer:
asa is the correct answer
The postulate or theorem can be used to prove that triangles are congruent is ASA rule.
What are congruent triangles?Two triangles are said to be congruent when they have congruent corresponding parts.
Given is a figure having two triangles, we need to find the rule, that can prove that both the triangles are congruent,
∠ S ≅ ∠ P [given]
∠ SEA ≅ ∠ PEN [vertically opposite angles]
SE ≅ EP [given]
∴ Δ SEA ≅ Δ PEN by ASA rule
ASA rule :-
If any two angles and the side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle, then the two triangles are said to be congruent by ASA rule.
Hence, the postulate or theorem can be used to prove that triangles are congruent is ASA rule.
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PLEASE HELP ONLY ANSWER IF YOU KNOW ITS CORRECT
Answer:
D
Step-by-step explanation:
lx+2l+7>10 /-7
lx+2l>3
if x >0, x+2>3 /-2, x>1
if x <0, x+2<-3 /-2, x<-5
pls help me! (more info in photo)
Answer:
x+ 3/2y= 15
Step-by-step explanation:
8x+12y=120
To put the equation into standard form, the leading coefficient has to be 1. So, divide the whole equation by 8.
x+ 3/2y= 15
Determine whether the data in the table can be modeled by a linear equation. Explain.
If possible, write a linear equation that represents y as a function of x
Answer:
yes, because they're varying in a constante rate
y = -1/2x +3.5
Patrica earns $12.50 per hour. She saves $3.25 of her hourly pay. What percentage of her hourly salary does she save?
Answer:
26%
Step-by-step explanation:
Well, we need to find what percent 3.25 is of 12.50.
12.50*x=3.25
3.25/12.50=.26
26% is saved.
!BRAINLIST!
Sebastian works as a conservation scientist. His current project involves calculating how many times an oyster bed can be harvested safely in one year. One task Sebastian might do to complete his project is:
A.
travel deep underground to take soil samples in a mine.
B.
meet with large cereal companies to take test the safety of their products.
C.
collect soil and water samples in a bay.
D.
climb into an attic to inspect for termite damage.
Answer:
meet with large cereal companies to take test the safety of their products.
Step-by-step explanation:
Diving by himself into deep sea may be harmful.Cereal companies are trained and experienced in it They can easily help him to observe the oysters deep under the sea.2.03x13 using standard algorithm
It came 26 by above calculation.
Samuel bought a cement mixer for $54,205. The value of the cement mixer depreciated at a constant rate per year. The table shows the value of the cement mixer after the first and second years: Year 1 2 Value (in dollars) 47,158. 35 41,027. 76 Which function best represents the value of the cement mixer after t years? f(t) = 47,158. 35(0. 87)t f(t) = 54,205(0. 13)t f(t) = 47,158. 35(0. 13)t f(t) = 54,205(0. 87)t.
The value of cement mixer after t year is [tex]f(t) = 54,205(0. 87)^{t}[/tex]
Given to us
The value of cement mixer when bought, [tex]P[/tex]= $ 54,205
the value of cement mixer after 1 year, [tex]P_1[/tex]= $ 47,158. 35
the value of cement mixer after 2 year,[tex]P_2[/tex]= $ 41,027. 76
To find out depreciation we can use the formula for depreciation,
[tex]P_n= P(1-r)^n\\where,\\P_n= Value\ of\ asset\ after\ n\ year\\P= Value\ of\ asset\ when\ bought\\r= rate\ of\ depreciation\\n= number\ of\ years[/tex]
By putting the value, in the formula we get,
[tex]P_1= P(1-r)^n\\\\47,158.35= 54,205\times (1-r)^1\\\\\dfrac{47,158.35}{54,205} = (1-r)\\\\0.87=1-r\\\\r=0.13[/tex]
Therefore, putting the value of [tex]r[/tex] and [tex]P[/tex] in depreciation formula for [tex]t[/tex] years we get,
[tex]P_n= P(1-r)^n[/tex]
[tex]f(t) = 54,205(0. 87)^{t}[/tex]
Hence, the value of cement mixer after t year is [tex]f(t) = 54,205(0. 87)^{t}[/tex].
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Is the relation below a function? If it is a function, state its domain.
{ (-2, 3) , (-2, -3) , (8, 1) , (3, 3)}
Answer:
not a function. domain = -2, 3, 8 (you don't have to write them in any specific order and you also don't need to write -2 twice)
Step-by-step explanation:
to be a function, all of the x's must be different
Solve:
1. Square both sides of the equation.
2. Expand the left side. (3 − k)(3 − k) = 3k + 1
3. Multiply 9 − 6k + k2 = 3k + 1
4. Write the quadratic equation in standard form. k2 − 9k + 8 = 0
5. Factor the quadratic equation. (k − 8)(k − 1) = 0
6. Use the zero product property.
The solutions to the quadratic equation are
.
The true solution(s) to the radical equation
The solutions to the equation [tex]3-k=\sqrt{3k+1}[/tex] are k = 1 and 8
The given equation is:
[tex]3-k=\sqrt{3k+1}[/tex]
Square both sides of the equation
[tex](3-k)^2=3k+1[/tex]
Expand the left side of the equation above
[tex](3-k)^2=3k+1\\\\(3-k)(3-k)=3k+1\\\\3^2-3k-3k+k^2=3k+1\\\\9-6k+k^2=3k+1[/tex]
Write the quadratic equation in standard form
[tex]k^2-6k-3k+9-1=0\\\\k^2-9k+8=0\\\\[/tex]
Factor the quadratic equation
[tex](k-8)(k-1)=0[/tex]
Use the zero product property
k - 8 = 0
k = 8
k - 1 = 0
k = 1
The solutions to the equation [tex]3-k=\sqrt{3k+1}[/tex] are k = 1 and 8
Learn more here: https://brainly.com/question/25840704
answer
first one: 8 and 1
second one: is 1
Step-by-step explanation:
slay
Two sides of a rhombus are represented by (3X-6)cm and (x+14)cm. Find the length of each side in the rhombus
Answer:
24 cm
Step-by-step explanation:
in rhombuses, the rule is that all sides are the same length which means 3x - 6 = x + 14. then, you just have to solve this:
3x - 6 = x + 14
subtract x from both sides
2x - 6 = 14
add 6 to both sides
2x = 20
divide both sides by 2
x = 10.
to find the length of each side, plug this back into the original side length expressions:
3x - 6 becomes 3 * 10 - 6 = 30 - 6= 24 cm
the length is 24 cm.
Hi this is algebra math. It’s been a while since I’ve been on this app but I need some help on if the problem graphed the slope right or wrong.
A geodesic dome has a hexagonal floor. If the diagonal of the floor is to be 24ft. 8in., what is the distance around the floor?
Answer:
e
Step-by-step explanation:
e
i need help with this!!
Answer:
Answer: x <-4Step-by-step explanation:
you need to do it step by step and use something that will help
8x-4<-36
8x<-36+4
8x<-32
Answer: x<-4
Last week, Brenna's Ice Creamery sold 34 sundaes with nuts and 16 sundaes without nuts. What is the ratio of the number of sundaes with nuts to the number of sundaes without nuts?
Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.
Answer:
17/8
Step-by-step explanation:
34/16 simplified is 17/8
Answer:
17/8
Step-by-step explanation:
wn won
34 16
34/16
factors of 34 and 16 are 2
34 / 2 = 17
16 / 2 = 8
simplified, 17/8
PLEASE HELP WHAT IS THE DOMAIN AND RANGE OF THIS GRAPH
Pay attention in school bud
57 yard . ×/1 yard =171 ft.
Answer:
the answer should be b good luck
NEED HELP ASAP GEOMETRY QUESTION 20 POINTS!!!!
Answer:
X= 12
Step-by-step explanation:
is this correct ? if not what’s the correct answer?
Answer:
YES 68 is the correct answer
There are 120 people in a sport centre.
78 people use the gym.
46 people use the swimming pool.
45 people use the track.
21 people use the gym and the pool.
16 people use the pool and the track.
24 people use the gym and the track.
9 people use all three facilities.
Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool?
Answer:
62%
Step-by-step explanation:
120-46=74
74/120 don't use
simplify 37/60
to percent; 62%
Write an inequality that represents the graph.
Answer:
fncscscsdcsdcsadcsddcscsdcs
Step-by-step explanationso you do nine 9 x9
For a friend who's struggling
"Omar and Deb each have a digital music player. Deb has 37 more songs on her player than Omar on his player. Write an expression in simplest form that represents the total number of songs on both players.
Will give brainliest!
varables:
O= omar songs\
S= total # of songs
equation:
2o+37= S
Hoped that helped:)
Maya ate breakfast and wanted to leave her waitress a 15% tip. Her meal cost
$7.50. How much money should Maya leave for the TIP?
Answer:
$1.13
Step-by-step explanation:
You multiply 0.15*7.5, and you get 1.125, which you add up to $1.13
5 ex to the power of 2. minus 36 ex. + 36. = 0
Answer:
The answer is x=6
What logarithmic function represents the data in the table?
x f(x)
216 3
1296 4
7776 5
Answer:
Step-by-step explanation:
216 =6^3
1,296 = 6^4
7,776 = 6^5
x = 6^f(x)
log x = log 6^f(x) = f(x)log 6
f(x) = log x / log 6 =
Classify −3x4−x3+4x2+12 by degree.
Answer:
Fourth degree or quartic
Step-by-step explanation:
As the highest power is 4, it is a quartic.
one yard is the same as A.12 inchs. B.24 inches. C.3 feet. D.1 foot
Answer: C. 3 feet
Step-by-step explanation:
1 yard is equivalent to 3 feet.
help me please...
At least an explanation
Answer:
do u still need this question answeered?
Step-by-step explanation:
Write... the number 7 as a fraction with the denominator 3.
Answer:
[tex]\huge\boxed{7=\dfrac{21}{3}}[/tex]
Step-by-step explanation:
[tex]7=\dfrac{7}{1}=\dfrac{7\cdot3}{1\cdot3}=\dfrac{21}{3}[/tex]
Answer:2[tex]\frac{0.3}{3}[/tex]
Step-by-step explanation:
