Answer:
0.0625 = 6.25% probability that the first card drawn is a diamond and the second card is a club
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Probability of independent events:
The probability of independent events happening at the same time is the multiplication of the probabilities of each events.
First card:
A standard deck has 52 cards, of which 13 are diamonds. So
[tex]P(A) = \frac{13}{52} = \frac{1}{4}[/tex]
Second card:
The first card is replaced, so still 52 cards, of which 13 are clubs. So
[tex]P(B) = \frac{13}{52} = \frac{1}{4}[/tex]
What is the probability that the first card drawn is a diamond and the second card is a club?
Each drawing is independent, so
[tex]P(A \cap B) = P(A)*P(B) = \frac{1}{4}*\frac{1}{4} = \frac{1}{16} = 0.0625[/tex]
0.0625 = 6.25% probability that the first card drawn is a diamond and the second card is a club
Answer:
0.0625 = 6.25% probability that the first card drawn is a diamond and the second card is a club
Step-by-step explanation:
Consider the spreading of a rumor through a company of 1000 employees, allworking in the same building.We assume that the spreading of a rumor is similar to the spreading of a contagious disease (see Example 3, Section 1.2) in that the number of people hearing the rumor each day is proportional to the product of the number who have heard the rumor previously and the number who have not heard the rumor. This is given by
rn+1 = rn + 1000krn(1000 ? rn)
where k is a parameter that depends on how fast the rumor spreads and n is the number of days. Assume k = 0.001 and further assume that four people initially have heard rumor. How soon will all 1000 employees have heard the rumor?
Answer:
On the 12th day, the rumor would have has to all the 1000 employees
Step-by-step explanation:
Given the data in the question;
so, lets consider the rumor spreading thorough the company of 1000 employee;
the given model is; [tex]r_{n+1}[/tex] = [tex]r_{n}[/tex] + 1000k[tex]r_{n}[/tex] ( 1000 - [tex]r_{n}[/tex] )
where k is the parameter that depends on how fast the rumor spreads, n is the number of days.
now, lets assume k = 0.0001, lets also assume r₀ = 4
so to find how soon all 1000 employees will have heard the rumor ;
let n be;
then r1 will be;
r1 = r₀ + ( 0.001)r₀(1000-r₀ )
so
r1 = 4 + ( 0.001) × 4× (1000 - 4 )
r1 = 7.984
r2 will be;
r2 = r1 + ( 0.001)r1(1000-r1 )
r2 = 7.984 + ( 0.001) × 7.984 × (1000 - 7.984 )
r2 = 15.904255744
r3 will be;
r3 = r2 + ( 0.001)r2(1000-r2 )
r3 = 15.904255744 + ( 0.001) × 15.904255744 × (1000 - 15.904255744 )
r3 = 31.555566137
Using the same formula and procedure by substituting n = 1,2,3,4,5,6,7,8,9,10,11,12.
we will have;
n rₙ
0 4
1 7.984
2 15.904255744
3 31.555566137
4 62.1153785
5 120.372437
6 226.25535
7 401.319217
8 641.58132
9 871.53605
10 983.497013
11 999.727651
12 999.999926
Therefore, On the 12th day, the rumor would have has to all the 1000 employees
How many strikeouts per inning if there were 36 strikeouts in 60 innings
Answer:
0.6 strikeouts per inning
Step-by-step explanation:
36 strikeouts in 60 innings = 36/60 = 6/10 = 0.6
Answer: 0.6 strikeouts per inning
Bir kırtasiyeci aldığı kalemlerin tanesini
2 liradan satarsa 40 lira kâr, 1,5 liradan
satarsa 20 lira zarar ediyor.
Bu kırtasiyeci kaç kalem alıp satmış-
tır?
A) 125 B) 120 C) 115 D) 110
Answer: Option B: 120.
Step-by-step explanation:
I will answer in English
This problem can be translated to:
A man bought N pens, (at a cost C) if he sells each pen at 2 lira, he will have a profit of 40 lira.
If he sells each pen at 1.5 lira, he will loss a total of 20 lira.
We want to find N, the number of pens that he bought.
if he sells the N pens at 2 lira each, the revenue is:
N*2 lira
And the profit is the difference between the revenue and the cost, then the profit (40 lira in this case) is:
N*2 lira - C = 40 lira.
When he sells each pen at 1.5 lira the equation is:
N*(1.5 lira) - C = -20 lira.
Then we have two equations:
N*2 lira - C = 40 lira.
N*(1.5 lira) - C = -20 lira.
To solve this we need to isolate the variable C in one of the equations, i will isolate C in the second equation:
N*(1.5 lira) + 20 lira = C.
Now we can replace this in the first equation to get:
N*(2 lira) - (N*(1.5 lira) + 20 lira) = 40 lira.
We can solve this for N.
N*(2 lira) - N*(1.5 lira) - 20 lira = 40 lira
N*(2 lira - 1.5 lira) = 60 lira
N*(0.5 lira) = 60 lira
N = (60lira/0.5lira) = 120
N = 120
This means that he bought 120 pens.
The correct option is B.
Find the slope, I don't know how though.
Answer:
slope is -2
Step-by-step explanation:
Easy
5
If 3x + 5y = 15 and x – 2y = 10, what is the value of 2x
+7y?
Answer:
5
Step-by-step explanation:
dont really understand why you answered your own question?
What expressions can be used to find 1/3 of 12
Answer:
The answer is this:
1/3*12=4/1=4
The expression can be written as 1/3 × 12 and its value is 4.
What are arithmetic operations?The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.
The given fraction is 1/3.
And, the number is 12.
Now, the expression to find the 1/3 of the given number can be written using the multiplication operation as,
⇒ 1/3 × 12
Its value can be evaluated as,
⇒ 1/3 × 12 = 4
Hence, the required expression is 1/3 × 12 and its value is 4.
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Nicole swims 6 times as many laps as Evan. What multiplication equation compares the laps Nicole and Evan swim?
Answer:
6E
Step-by-step explanation:
If Evan swims 5 laps (for example) that automatically means that Nicole sawm 6 more laps, so it would be 6 times "E" as in Evan
Hope this helps! :D
35=7x. please help me fasttt
Answer:
x=5
Step-by-step explanation:
35 divided by 7 is 5, so in that case, 7 times 5 is 35.
can you guys please help me
9514 1404 393
Answer:
see below
Step-by-step explanation:
Each vertex has a single-letter label.
Each edge joins two vertices, and is named by naming those two vertices.
Each polygon is named by listing the vertices at its corners. It is a plane figure.
The base is the polygon opposite the point where all of the triangles come together.
__
16. figure: pentagonal pyramid ABCDEF
17. base: ABCDE
18. faces: ABF, BCF, CDF, DEF, AEF, ABCDE (the bottom face, or base)
19. edges: AB, BC, CD, DE, AE, FA, BF, CF, DF, EF
20. vertices: A, B, C, D, E, F
What is the measure of the missing angle
in the triangle below?
38
A 58°
B 52°
C 48°
D 42°
Answer:
B. 52°
Step-by-step explanation:
x + 38 + 90 = 180
x + 128 = 180
x = 180 - 128
x = 52°
set up and solve a quadratic equation to work out the value of x
function not a function ?
Answer:
not a function
Step-by-step explanation:
Classify the following triangle. Check all that apply. A. Scalene B. Right C. Acute D. Equilateral E. Obtuse F. Isosceles
Answer:
E and F
Step-by-step explanation:
The triangle given has two equal sides, and an obtuse angle that is more than 90° that measures 120°. The other two angles are of equal measure since their opposite sides are of the same length. Thus, this implies that it is an isosceles triangle because it has two equal base angles and two equal sides. It also implies that it is an obtuse triangle since one of it's angles is more than 90°.
Answer:
the correct answer is acute and scalene
Pls hurry and help!!!3X-2y=4
6x-2y = -2
Solve the equations by using elimination Adding.
Answer:
The answer will be the following :
Step-by-step explanation:
Let's solve for x.
3x−2y=46x
Step 1: Add -46x to both sides.
3x−2y+−46x=46x+−46x
−43x−2y=0
Step 2: Add 2y to both sides.
−43x−2y+2y=0+2y
−43x=2y
Step 3: Divide both sides by -43.
−43x
−43
=
2y
−43
What is the slope of the line below?
(5,5)
(5,-2)
A. zero
B. negative
C. undefined
D. positive
Answer:
Undefined
Step-by-step explanation:
Vertical lines cannot be functions, since they yield multiple y-values for one single x-value.
Explain your answer
Thank you so much !
Will give brainlst
Answer:
Good luck with that
Step-by-step explanation:
We r to lazy to do it
Answer:
C
Step-by-step explanation:
Granite is mined worldwide but the most exotic colours are obtained from granite deposits in Brazil, India, China, Finland, South Africa and North America. Granite mining is a capital and labour intensive process. Chunks of granite are extracted from deposits by cutting or blasting procedures.
If AD = 21, BF = 8, and DF = 8, what is the value of AB?
Answer:
AB would be 21
Step-by-step explanation:
Sides BF and DF equal 8, because triangles BFC and DFC are both right triangles and they have two equal sides (hypotenuses are equal and both triangles share side FC), triangles BFC and DFC are congruent triangles, which means side DC is equal to BC. Since right triangles ADC and ABC share side AC and BC = DC, they are congruent triangles, meaning AB will equal AD, which is 21.
Margarita's gross paycheck last week was $204.75 from working 21 hours. What is her hourly pay rate?
Answer:
$9.75
Step-by-step explanation:
This problem requires division. All factors are already provided in the problem, so all you have to do to solve this is divide 204.75/21, and get your answer! Hope this helps :)
Put together, Edward and Jamie have 56 total rocks. Jamie's collection has 3 times as many rocks in it as Edward's collection. How many rocks are in Jamie's collection?
How many rocks does Edward have?
Select the person with more rocks: Jamie
Answer:
How many rocks does Edward have? 14
Select the person with more rocks: Jamie
(Edward: 14, Jamie: 42)
Write the equation for the horizontal line passing through (3, 4).
Answer:
equation for a straight horizontal line passing through the coordinates (3,4):
y=4
Step-by-step explanation:
3
What is the solution to the equation 9x = 54?
x = 6
B) x = 7
C
X = 8
x = 9
Answer:
6
Step to Step:
9x6=54
Answer:
Option A
Step-by-step explanation:
In order to find the answer to this equation you must remember to divide if there is a variable right next to the number.
[tex]9x=54[/tex]
[tex]\div9[/tex]
[tex]54\div9=6[/tex]
[tex]x=6[/tex]
Hope this helps.
What is the value of 3 in the figure shown below?
E
с
20
3.6 3.6
118°
3.8 3.8
30
D
B
9514 1404 393
Answer:
32
Step-by-step explanation:
Angle E is congruent to angle C, so is the value required to make the sum of angles in triangle ABC be 180°.
∠E = 180° -118° -30° = 32°
The value of x is 32.
The volume of a cube is 1.5 mº. Find the length of its edge to the nearest tenth of a meter.
Answer:
About 1.1 meters.
Step-by-step explanation:
Hope this helps! :D
Erin wants to buy a set of paint brushes:
Store A sells a set for $25.00 and offers a 10% discount
Store B sells a set for $27.00 and offers a 20% discount
Store C sells a set for $26.00 and offers a 15% discount
I NEED THIS ASAP! worth 20 points!
Answer:
m
Step-by-step explanation:
Which of the following is equivalent to 2 x (4 x 3)? *
2 + (4 + 3)
2 x (6 x 4)
(2 x 4) x 3
8
2×(4×3)?24
4×3=12
12×2=24
(2×4)×3=24
Pls help me ASAP I will give brainliest
Answer:
[tex]y = 40000(1.02)^8[/tex]
Step-by-step explanation:
Given
[tex]a = 40000[/tex] -- Initial population
[tex]r = 2\%[/tex] --- Rate
Required
Determine the population in 8 years
The question shows an exponential distribution and the final population will be calculated using:
[tex]y = a(1 + r)^x[/tex]
Where x is the number of years.
So, we have:
[tex]y = 40000(1 + 2\%)^8[/tex]
Convert % to decimal
[tex]y = 40000(1 + 0.02)^8[/tex]
[tex]y = 40000(1.02)^8[/tex]
(b) is correct
16^5/4 times 16^1/4/(16^1/2)^2
Answer:
4
Step-by-step explanation:
its four trust me
Answer:
4
Step-by-step explanation:
:)
What is 5% of 40? Need help please.
Answer:
it is 2
Step-by-step explanation:
I am having an issue in figuring out how the answer is 247,700.
Answer:
its 1,108,582
Step-by-step explanation:
u add them to get how much it fits
Select five numbers that have 7, 13, and 3 as prime factors.
А
1,092
B
897
с
2,093
D
819
483
F
1,365
G
273
H
546
Answer:
ADFGH
Step-by-step explanation:
Good luck on your test!
The numbers having the prime factors 7, 13, and 3 are 1,092,819,1,365,273, and 546.
What is a prime factor?A natural number other than 1 whose only factors are 1 and itself is said to have a prime factor. In actuality, the first few prime numbers are 2, 3, 5, 7, 11, and so forth. Now, we may also apply the so-called prime factorization, which actually involves using factor trees, for numbers.
The numbers having the prime factors 7, 13 and 3 are 1,092,819,1,365,273, and 546. Because all the numbers are completely divisible by the numbers 7, 13, and 3.
Therefore, the numbers having the prime factors 7, 13, and 3 are 1,092,819,1,365,273, and 546.
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