Since Sally replaces the card after each draw, there are 52 choices for each card that can be drawn.
In a standard deck of cards, there are 4 aces. Then the probability of drawing an ace is 4/52 = 1/13. The same reasoning applies to drawing a queen or a six. Then the probability of drawing an ace, queen, and six (in that particular order) is 1/13³.
But Sally can also draw these 3 specific cards in any order to end up with the same hand. There are 3! = 6 ways of doing so:
AQ6, A6Q, QA6, Q6A, 6AQ, 6QA
That is, 3 choices for the first card; 2 choices for the second; and 1 for the third, so a total of 3 • 2 • 1 = 3! = 6 hands.
Then the probability of getting a hand consisting of an ace, queen, and six is
3! • 1/13³ = 6/2197 ≈ 0.002731
Find the Volume of the triangular prism
Answer:
72 cubic yards
Step-by-step explanation:
The volume of a prism is given by ...
V = Bh
where B is the area of the base, and h is the distance between bases.
Here, the base is a triangle, so its area is given by ...
A = 1/2bh
where b is the base of the triangle, and h is the height perpendicular to the base.
__
Using these formulas with the dimensions given, we have ...
B = 1/2(8 yd)(3 yd) = 12 yd²
V = (12 yd²)(6 yd) = 72 yd³
The volume of the triangular prism is 72 cubic yards.
_____
Additional comment
Effectively, the volume of a triangular prism is half the volume of a rectangular prism with the same length, width, and height.
#57 will give brainliest to the best answer. please explain
Answer:
(x+y)(z+1)
Step-by-step explanation:
trust me .......
Answer:
(x+y) (z+1)
Step-by-step explanation:
xz + x + yz + y
- group the first two terms and the last two terms.
(xz + x ) + yz + y
- factor out the greatest common factor (GCF) from each group.
x (z + 1) + y (z + 1)
- factor the polynomial by factoring out the greatest common factor, z + 1.
(x+y) (z+1)
If the volume is 7 and the density is 1.420 what's thr mass
Answer:
9.94
Step-by-step explanation:
Density = mass/ volume
1.420 = mass / 7
7 x 1.42 = mass
9.94 = mass
A popular social networking website wants to upgrade its webpage design, but it is unsure how its audience would respond to the change. what is the best step for the website to take in order to gauge the target audience’s response if it wants to limit the risk of alienating the entire target audience?
To limit the risk of alienating the entire target audience it needs to release the design to a small number of randomly chosen members .
Who are the target audience?target audience serves as a term that describes the people that a particular work or a product is been directed to.
Therefore, as a popular social networking website who want to limit the risk of alienating target audience, it should work randomly.
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2.4 divided by 0.24 pllss help
Answer:
your answer is 10 Goodluck
David has kept track of his family’s grocery bills for the past
10 weeks, as shown in the table.
Week 1 2 3 4 5 6 7. 8 9 10
Bill ($) 92 106 129 115 100 84 110 156
98 87
Would you choose to use a histogram, a circle graph, or a line graph to
display the data? Explain your choice.
Answer:
it is more easier to use a histogram and accurate
Answer:
Line graph
Step-by-step explanation:
A line graph is specifically used to display data that changes over time, a line plot uses several points connected by straight lines on an x and y axis.
I wouldn't choose a histogram because a histogram is used to summarize continuous data.
As well as I wouldn't use a circle graph becasue it is often used to show the percentage of of population who gave a certain answer.
Select the correct answer. which expression shows the factors of 9x2 3x − 2? a. (3x − 1)(3x − 2) b. (3x 1)(3x − 2) c. (3x 2)(3x − 1) d. (9x − 2)(x 1)
The complete factor of the expression 9x² + 3x - 2 is (3x - 1)(3x + 2)
How to determine the complete factorization?The expression is given as:
9x² + 3x - 2
Expand the equation
9x² + 3x - 2 = 9x² + 6x - 3x - 2
Factorize the expression
9x² + 3x - 2 = 3x(3x + 2) - 1(3x + 2)
Factor out 3x + 2
9x² + 3x - 2 = (3x - 1)(3x + 2)
Hence, the complete factor of the expression 9x² + 3x - 2 is (3x - 1)(3x + 2)
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The zeroes of the function are___
Answer:
The zeros are x = -2, x = 0, x = 4.
Step-by-step explanation:
The zeros describe where the function crosses the x-axis, or where the y-value is zero. In this case, the zeros are x = -2, x = 0, x = 4.
The formula for the distance traveled over time ttt and at an average speed vvv is v\cdot tv⋅tv, dot, t.
Amit ran for 404040 minutes at a speed of about 555 kilometers per hour
What calculation will give us the estimated distance Amit ran in kilometers?
i would really appreciate some help with this question, thank you!
if A(4,5), B(6,8), then vec AB is .......
answer choices;
a)(24,40)
b)(10,13)
c)(2,3)
d)(40,24)
Answer:
A is the answer to the question
Step-by-step explanation:
4*6=24
5*8=40
GIVING BRAINLIESST TO ANYONE WHO HELPS PLEASE EXPLAIN THANK U
Answer:
3:1 or 9:3
Step-by-step explanation:
It wants a ratio of larger rectangle : smaller rectangle.
All we have to do is replace the values and we get 9:3, or simplified, 3:1
Hope this helped! I would appreciate a Brainliest if you wouldn't mind!
Which situation best describes conditional probability?.
Using it's concept, it is found that the situation that best describes conditional probability is given by:
4. Finding the probability of an event occurring given another event had already occurred.
What is Conditional Probability?Conditional probability is the probability of one event happening, considering a previous event. The formula is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which:
P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.The key-word is previous, that is, we have to consider a previous event that already happened. Hence, researching the problem on the internet, the correct option is given by:
4. Finding the probability of an event occurring given another event had already occurred.
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Two similar spheres have a scale factor of 2:5. What is the ratio of their surface areas?
Answer:
4:25
Step-by-step explanation:
Sphere surface area = 4 pi r^2
now change r to 2.5 r ( to maintain the 2:5 ratio)
area2 = 4 pi (2.5 r)^2 = 6.25 * 4 pi r^2
so ratio of surface areas is 1 : 6.25 = 4:25
If two similar spheres have a scale factor of 2:5. Then the ratio of their surface areas will be 4 / 25.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Two similar spheres have a scale factor of 2:5.
Let the r₁ and r₂ be the radius of the spheres. Then we have
r₁ / r₂ = 2 / 5
Then the surface area of the sphere is given as
Surface area = 4πr²
Then the ratio of their surface areas will be
[tex]\rightarrow \dfrac{4\pi r_1^2 }{4\pi r_2^2} = \left (\dfrac{r_1}{r_2} \right )^2[/tex]
Then we have
→ (2 / 5)²
→ 4 / 25
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(see image) please help i give brainlist What will the equation be if the following equation is translated 5 units right and 6 units down?
Answer:
The equation is
g(x) = (x+5)² - 6
Given h(x)=2x3 + x2 +7, what is the value of h(−3)?
With the steps please.
Answer:
-38.
Step-by-step explanation:
Plug x = -3 into the given function
h(-3) = 2(-3)^3 + (-3)^2 + 7
= -54 + 9 + 7
= -54 + 16
= -38.
Solve for x, y and z. Round your answers to the nearest tenth.
Answer:
Step-by-step explanation:
What is the answer to number 2 on this sheet?
Answer:
J
Step-by-step explanation:
Use the Volume formula for cylinders first.
V=πr^2•h.
Radius=Diameter/2
R=5.
Plug it in.
V=π5^2•36
V=2,826.
Multiply the rest of the answers out to see what matches.
J.) 78.5•36=2,826
Write an expression that represents the weigh of and object that weighs 12 pounds and increases by 0.5 pound per month, m.
three-quarters of a number is 12 more than two-third of the number what is the number
Answer:
oww my brain but umm 3 i think
Step-by-step explanation:
pretty sure
Ajay has a piggy bank which has one-rupee and two-ruppe coins. The number of 2 rupee coins is twice the number of 1 rupee coins.the total amount of money in the piggy bank is 30 rupees. How many 1 rupee and 2 rupee coins are there in the piggy bank?
Answer:
6 one rupee and 12 two rupee coins.
Step-by-step explanation:
If the number of rupee coins is x then the number of 2 rupee coins is 2x.
x + 2*2x = 30
5x = 30
x = 6.
Owen owns a small business selling ice-cream. He knows that in the last week 102 customers paid cash, 3 customers used a debit card, and 8 customers used a credit card.
The probability that the next costumer will pay with a credit card is 0.07.
What is the probability?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that the next costumer will pay with a credit card = number of customers that paid with a credit card / total number of customers
8 / ( 8 + 3 + 102)
= 8 / 113 = 0.07
Here is the complete question:
Owen owns a small business selling ice-cream.He knows that in the last week 102 customers paid cash, 3 costumers used a debit card, and 8 costumers used a credit card. Based on these results,express the probability that the next costumer will pay with a credit card as a decimal to the nearest hundredth
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Juan can type 27 words in 9 minutes.
What is his rate in words per minute?
words per minute?
Answer:
3 words per minute
Step-by-step explanation: First you divide 9 by 9 to get one then you divide 27 by nine to get 3 simple
Answer:
y=3
Step-by-step explanation:
27=y x 9
27/9= y x 9/9
3=y
3words x9minutes =27words in 9 minutes 3 words a minute.
I used y because x would look tacky next to another x
5. Tyrone has a deck of cards numbered 1 - 5.
He chooses one card, replaces it, and then
chooses another card. Find the probability
that he draws a 2 first and then chooses a
card less than 4.
Answer:
3/25
Step-by-step explanation:
1/5 x 3/5 = 3/25
A 20 ft. long piece of lumber is cut such that the first piece is 4 ft. longer than three times the second piece. what is the length of each piece?
Answer:
2nd = 4ft.
1st = 16ft
Step-by-step explanation:
2nd = x
1st = 3x + 4
Piece of rope = 20ft.
(3x + 4) + x = 20
4x + 4 = 20
4x = 16
x = 4 (second piece)
First
3x + 4
3(4) + 4
12 + 4 = 16
Need help please answer ASAP!
Answer:
29. (2) 12
30. (1) a slope of 3/2 and a y-intercept of -6
31. (1) 12
32. (4) 8%
33. (1) -5
Step-by-step explanation:
Question 29
2x/3 - 5 = x/42x/3 - x/4 = 5(8x - 3x)/12 = 55x = 60x = 12(2) 12Question 30
3x - 2y = 122y = 3x - 12y = 3x/2 - 6It has a slope of 3/2 and y-intercept of -6(1) a slope of 3/2 and a y-intercept of -6Question 31
(x - 4)(x + a) = x² - x + w = 0a - 4 = -1a = 3(x - 4)(x + 3) = x² - x - 12 = 0w = 12(1) 12Question 32
Sales tax = $20.51 - $18.99 / $18.99Sales tax = $1.52/$18.99Sales ≈ 8%(4) 8%Question 33
C = 5/9 [23 - 32]C = 5/9 (-9)C = -5(1) -533, EDUCATION In a certain small town,
65% of the adults are college graduates.
How many of the 240 adults living in
the town are college graduates?
tooo
Answer:
156 adults are college graduates
Step-by-step explanation:
To find the answer we have to find 65% of 240.
[tex]240 \times \frac{65}{100} = \\ \\ \frac{15600}{100} = \\ \\ 156[/tex]
If a sprinkler rotated 90˚, paused, and then rotated another 90˚, how many degrees
did it rotate altogether
Answer:
180°
Step-by-step explanation:
Since a sprinkler rotates 90°, pauses,and then rotates another 90°
So, here total degrees be like
= 90° + 90°
= 180°
hence, The number of degrees did it rotate altogether should be considered as the 180 degrees.
Mai put $4250 in the bank at 4.4% interest compounded annually. How much was in her
account after 7 years?
Answer:
$5745.03
Step-by-step explanation:
A = 4250(1 + 0.044)7 = $5745.03
The required amount in the Mai accounts after 7 years will be $5745.03.
What is compound interest?Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.
Amount = principal[1 + r/n]ⁿᵃ
Here,
Principal = 4250, rate = 4.4%, Time = 7 ,
Amount = 4250[1 + 0.044]⁷
Amount = $5745.03
Thus, the required amount in the Mai accounts after 7 years will be $5745.03.
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What is the factor form pls yall I need help lol and put how to solve it
Answer:
y = -1/2(x - 3)(x - 7)
Step-by-step explanation:
we already have the x intercepts so we can first put those in our equation
y = a(x - 3)(x - 7)
then we can plug in the vertex to find what our a value is
2 = a(5 - 3)(5 - 7)
2 = a(2)(-2)
2 = -4a
a = -1/2
so your equation is
y = -1/2(x - 3)(x - 7)
If B=94, Then what is B-(8x4)?
Answer:
62
Step-by-step explanation:
If B = 94, then it'd be 94 - (8*4)
94 - 32
62