Given:
Two cards are drawn from a standard deck of 52 cards without replacement.
To find:
The probability that both cards selected for black.
Solution:
We know that,
Total number of cards = 52
Total number of red cards = 26
Total number of black cards = 26
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
Probability of selecting first black card is
[tex]\text{Probability}=\dfrac{26}{52}[/tex]
[tex]\text{Probability}=\dfrac{1}{2}[/tex]
Number of remaining total cards = 52-1 = 51
Number of remaining black cards = 26-1 = 25
Probability of selecting second black card is
[tex]\text{Probability}=\dfrac{25}{51}[/tex]
So, the probability that both cards selected for black is
[tex]\text{Probability}=\dfrac{1}{2}\times \dfrac{25}{51}[/tex]
[tex]\text{Probability}=\dfrac{25}{102}[/tex]
Therefore, the required probability is [tex]\dfrac{25}{102}[/tex].
I have no idea how to solve this, please help with the answer
Chris bought a pizza that was cut into 8 slices. He saw olives on 2 of the slices. If he chooses a slice at random, what is the probability that he gets a slice without olives?
2/8
If you are thinkinking logically, however, it's 50/50 since it's either you get them or not
Answer:he has a 75% chance of getting a piece without olives
Step-by-step explanation:
Find the midpoint of the segment with the following endpoints.
(4,7) and (10,3)
Answer:
7, 5
Step-by-step explanation:
Answer:
I hope this may helps you
Help with this problem
Answer:
18
Step-by-step explanation:
side length of triangle RST is 4 ✓ 3, 3 ✓ 3
So, area of triangle RST = 1/2 × 4✓ 3 × 3✓ 3 =18
sorry can u delete this my answer is wrong lol
-14 + 9x in standard form
Answer:
9x-14
Step-by-step explanation:
the format of the slope intercept formula mx+b
Evaluate the expression when y = 4 y/2-8
Answer:
-6
Step-by-step explanation:
Using PEMDAS , division comes first.
4 ÷ 2 - 8
= 2 - 8
= -6
83, 15, 50, 28, 52, 96 - What is the mean? What is the mode? What is the median?
Answer:
Mean: 54
Mode: There is none
Median: (50+52)/2 = 51
Step-by-step explanation:
Hope this helps!!! :D
PLEASEE HELP 51 POINTS PLEASEE
Answer:
Part A is $21 and part B is $30.21
10 of 14
A car travels 48 km in 33 minutes.
What is its average speed in km/h?
Give your answer rounded to 1 decimal place.
Answer:
why in kilometers? 87.3 km/h
How can you express (15 + 30) as a multiple of a sum of whole numbers with no common factor?
A.
2 × (7.5 + 15)
B.
3 × (5 + 10)
C.
5 × (3 + 6)
D.
15 × (1 + 2)
Answer:b because the equation is right.
Step-by-step explanation:
Step-by-step explanation:
D.
15 × (1 + 2) is you're answer
With individual lines at its various windows, a post office finds that the standard deviation for normally distributed waiting times for customers on Friday afternoon is 7.2 minutes. To test this claim, the post office experiments with a single, main waiting line and finds that for a random sample of 25 customers, the waiting times for customers have a standard deviation of 3.5 minutes.With a significance level of 5 percent, test the claim that a single line causes lower variation among waiting times (shorter waiting times) for customers. Degrees of freedom test statistic pvalue accept or reject
Answer:
We reject H₀ we found that at 5% significance level the single file causes shorther waiting times
Step-by-step explanation:
We will develop a chi-square test since it is a standard deviation test.
Conditions for chi-square test
1.-Population follows a normal distribution
2.-We have a random sample
Therefore
Test Hypothesis
Null hypothesis H₀ σ = 7,2
Alternative hypothesis Hₐ σ < 7,2
So it is a one tailed-test to the left
Sample size n = 25
Then df = 25 - 1 df = 24
Significance level α = 5% α = 0,05
With df = 24 and α = 0,05 we find
Χ₀ = 36,415
Computing X(s)
X(s) = ( n - 1 ) * σ² / (7,2)²
X(s) = 24* (3,5)² / 51,84
X(s) = 294/51,84
X(s) = 5,67
Comparing Χ₀ and Χ(s)
X(s) < Χ₀
So X(s) is in the rejection region and we reject H₀
factor out the coefficient of the variable : 2/3j - 2/9
Answer:
j3a3
Step-by-step explanation:
of the 8 friends sitting around the table at lunch, 6 brought their lunch from home. Which
grid represents the percent of the friends who brought their lunch from home?
You didn't provide any grid, but I can tell you how to turn fractions into percentages: just build the following proportion
[tex]6\div 8=x\div 100[/tex]
and solve for [tex]x[/tex]:
[tex]x=\dfrac{600}{8}=75[/tex]
So, 75% of the friends brought their lunch from home.
It costs Guido $0.20 per minute to forward voicemail messages as texts to his cell phone. He already spent $4 in forwarding messages this month. His mom has spent $2 forwarding messages. It costs her $0.40 per minute so she can call long distance. Guido’s mom said they have to spend the same amount. How many minutes can he talk?
Answer:
10 Minutes
Step-by-step explanation:
To talk the same amount of time he would have to spend $2. So $0.20 per minute would mean that for 5 minutes it is $1, so he can have 10 minutes
A certain bacteria can divide every hour. Which of the following equations represents the number of cells, N, that is present after t hours?
A
N(t)=2t
B
N(t)=2/t
C
N(t)=2t
D
N(t)=t2
Answer:
N(t) = N0/2^t
Step-by-step explanation:
Given that:
Number of cells present after t hours = N
Let initial number of cells = N0
Using the exponential decay relation:
N(t) = N0(1/2)^t
N(t) = N0/2^t
Hence, the number of cells N present after t hours is N(t) = N0/2^t.
A 6-ounce can of Frozen orange juice costs $1.02. Give the unit price in cents per ounce
The unit price in cents per ounce will be 17 cents / ounce.
The cost of the 6 ounce frozen orange juice is given as:
Cost = $ 1.02
We know that:
$ 1 = 100 cents.
So, by using multiplication, we get that:
$ 1.02 = 1.02 × 100 cents
$ 1.02 = 102 cents.
Now, Number of ounces = 6 ounces
Unit price in cents per ounce = 102 cents / 6 ounce
Unit price in cents per ounce = 51 cents / 3 ounce
Unit price in cents per ounce = 17 cents / ounce
Therefore, the unit price in cents per ounce will be 17 cents / ounce.
Learn more about unit price here:
https://brainly.com/question/25109150
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What postulate/theorem can be used to prove the following triangles congruent?
Answer:
SAS
Step-by-step explanation:
2 sides and 1 angle are congurent
Answer:
The S.A.S rule can be used to prove the following triangles congruent.
Step-by-step explanation:
The S.A.S rule is when 2 sides and the angle in that triangle are equal to the 2 sides and angle of the other triangle, then u can considere that triangle congruent.
brittany is listening to a song on the internet. the song is streaming at a rate of 128 kilobits per second. There are 8 kilobits in 1 kilobyte. What is the streaming rate in kilobytes per second?
Step-by-step explanation:
16 because 128 divided by 8 is 16
Omg I don’t get it look at the picture:(
Answer:
Cevap B
Step-by-step explanation:
fcxssazhgfxghfhdhddd
Given sin theta and angle θ is in Quadrant III, what is the exact value of cosθ in simplest form? Simplify all radicals if needed.
Answer:
Unfortunately, you have to give the exact value of sin theta in order to solve this problem. Therefore, this problem, at least for the meantime, is unsolvable. Please rectify this! Thank you!
Answer:
sin theta in Quadrant III,
sin theta =√(1-cos²theta)
1) There are 56 people at a party. Each table has 8 seats. How many tables are
needed so all of the people have a seat?
56 +
= 8
6
54
Answer:
56 / 8
Step-by-step explanation:
What is the equation of the line written in slope intercept form
Answer:
Where is the graph, once you upload it, I will change the answer
Step-by-step explanation:
my question is down there
what is the sum
56+90=_____
Answer:
146
Step-by-step explanation:
find the measure of the line segment TV
9514 1404 393
Answer:
18
Step-by-step explanation:
When chords cross, the product of the lengths of the pieces is the same for each chord:
EU·ES = ET·EV
8·9 = (12x)(6x)
72 = 72x^2
x^2 = 1 ⇒ x = 1
Then the length of interest is ...
TV = ET +EV = 12·1 +6·1
TV = 18
PLZ HELP! WILL GIVE BRAINLIEST!! PLZ SOLVE QUICK!!
Find the value of x by filling in the blanks in the provided statement - reason solution.
I NEED THE WHOLE STATEMENT REASON CHART FILLED OUT!! THANK YOU SO MUCH IF YOU HELP!
Answer:
30
Step-by-step explanation:
15r-15s=
can you help
Answer:
i dlnt know 15 I think not sure
Answer: 0 i guess i dont know
Step-by-step explanation:
What is the least common denominator of 1/2,2/3 and 3/8 OA) 48 OB) 24 O C) 16 OD) 12 plz help me
Answer:
24
Step-by-step explanation:
The required least common denominator (LCD) of 1/2, 2/3, and 3/8 is 24.
What is the least common denominator?The least common denominator has a defined factor that is least common among the factors of the denominator is called the least common denominator.
Here,
Rewrite each fraction with the least common denominator (LCD) of 24 by multiplying both the numerator and denominator by the appropriate factor:
1/2 = (1/2) * (12/12) = 12/24
2/3 = (2/3) * (8/8) = 16/24
3/8 = (3/8) * (3/3) = 9/24
Check that the fractions have the same denominator:
12/24, 16/24, and 9/24
Therefore, the least common denominator (LCD) of 1/2, 2/3, and 3/8 is 24.
Learn more about the least common denominator here: https://brainly.com/question/11221202
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How can you determine the domain of a sine function?
Answer:
Step-by-step explanation:
Note that the domain of the function y=sin(x) ) is all real numbers (sine is defined for any angle measure), the range is −1≤y≤1 . The graph of the cosine function looks like this: The domain of the function y=cos(x) is all real numbers (cosine is defined for any angle measure), the range is −1≤y≤1 .
Need help plz need to solve for x.
1) 2x-7= -2x+1
2) 2(x-7)=6-2x
Answer:
1( ×=2
2( x=5
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