. There are 11 boys and 5 girls that tried out to
sing a duet in a chorus concert. If the
director must choose two, what is the
probability that both students chosen are
boys?
We want to find the probability that the two students chosen for the duet are boys. We will find that the probability that both students chosen for the duet are boys is 0.458
If we assume that the selection is totally random, then all the students have the same probability of being chosen.
This means that, for the first place in the duet, the probability of randomly selecting a boy is equal to the quotient between the number of boys and the total number of students, this is:
P = 11/16
For the second member of the duet we compute the probability in the same way, but this time there is one student less and one boy less (because one was already selected).
Q = 10/15
The joint probability (so both of these events happen together) is just the product of the individual probabilities, this will give:
Probability = P*Q = (11/16)*(10/15) = 0.458
So the probability that both students chosen for the duet are boys is 0.458
If you want to learn more, you can read:
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Jamie is x years old. His friend Ana is the same age.
Enter an expression in the box to represent the sum of Jamie's and Ana's ages.
Explanation:
Each person is x years old. Adding those unknown ages gets us x+x = 2x
We can think of it like x being one box, so x+x represents having two boxes which shortens to 2x.
Two cards are drawn from a well-shuffled deck of 52 playing cards. Let X denote the number of aces drawn. Find P(X = 1).
Answer:
0.14479638
Step-by-step explanation:
Because 2 cards out of 52 are drawn without replacement, hypergeometric probability distribution should be used. Hence,
Combination of drawing 1 ace of 4 total aces C(4,1)
Combination of drawing 1 non-ace of 48 total non aces C(48,1)
Combination of drawing 2 cards of total 52 cards C(52.2)
C(4,1) = 4, C(48,1) = 48, C(52,2) = 1326
4*48/1326 = 0.14479638
I need help with this please hurry it's timed
Answer:
60 inches
Step-by-step explanation:
26^2+54^2 = 3592
[sqrt]3592 = 59.9 --> 60inches
Help help help help help help help math
Answer:
Angle 6
Step-by-step explanation:
They are both the same angle size
Answer:
Angle 1
Step-by-step explanation:
Refer to the attached picture
HELP ME PLEASEEEE I WILL GIVE BRAINLIEST
Answer: DE, EW WD
Step-by-step explanation:
It looks shortest to longest...i think its the best answer. good luck :>
Karen has 7/8 cup of ice cream. How many 1/3 cup servings can she make ?
Answer:
She can make 4 1/3 cups
Step-by-step explanation:
Answer:
2.625 should be your answer
Step-by-step explanation:
hope you have a good day!
the elevation of the salton sea in california is 66 meters below sea level. which integer best represents this elevaton in meters?
please help
Answer:
-66
Step-by-step explanation:
If we use 0 as the centre of all numbers, and another number is 66 below this baseline, we could say that it is -66 meters above sea level, or 66 meters below sea level.
Which of the following points lie in the solution set to the following system of inequalities?
y > -3x + 3
y > x + 2
(2, -5)
(-2, 5)
(2, 5)
(-2, -5)
Answer:
(2,5)
Step-by-step explanation:
it's the only one that fits
Answer:
(2, 5)
Step-by-step explanation:
A. y = 2x
B. y = x ÷ 2
C. y = x – 1
D. y = x + 1
Answer:
D) y = x + 1
Step-by-step explanation:
D is the answer because the slope is 1 and the y-intercept is 1
HELP PLEASE I'll give Brainly
Answer:
A is a 2 in the tenth place of the difference
If an angelfish is 6/5 inches, how many feet is it? I'm literally going to give you 100 points.
Answer:
0.1 foot
Step-by-step explanation:
1 inch = 0.083 foot
Formula: divide the length value by 12
So, multiply 0.083 to [tex]\frac{6}{5}[/tex]
[tex]\frac{6}{5} = 1.2[/tex]
1.2 × 0.83 = 0.996
approximatlry, 0.996 = 0.1
Therefore, [tex]\bold{\frac{6}{5}}[/tex] inches are equal to 0.1 foot.
B = {x|x ∈ N and 1 ≤ x < 9}
Answer:
Set membership x ∈ X means x is an element of the set X. (Non-membership is written x ∈ X.) Set inclusion X ⊆ Y means every element of X is an element of Y ; X is a subset of Y .
Step-by-step explanation:
Carry on learning
Find the slope of the line.
first you have to pick any two points on the line
(-3,4) and (0,-2)
then you subtract the y values
-2-4= -6
after that you subtract the x values
0 - (-3)= 3
the slope is -6/3, or -2
Does the table show a proportional relationship between x and y? Explain.
x y
2 4
4 16
7 79
10 100
Answer:
no
Step-by-step explanation:
if the y 79 was changed to 49 then yes(in that case y=x^2) but the x 7 y 79 messes the relationship up.
3n + 6n -4 = 2n + 2 + 5n
Answer:
3n +6n-4=2n+2+5n
9n-4=7n+2
9n-7n=2+4
2n=6
n=6÷2
n=3
1. Which calculation best matches the expression 3y + 2?
A. 3 times 2, plus y
B. 3 times y, plus 2
C. 3 times the sum ofy and 2
D. 3 times the difference of y and 2
Find the quotient: 0.12)78.6.
I need help with this question
A line with a slope of 8 goes through the point (2, 27). It also goes through the point (-2,p). What is the value of p?.
Answer:
The value of p is -5.
Step-by-step explanation:
Given the slope and a known point, you have 3 of the 4 variables and you can use them to solve for the y-intercept of the line.
[tex]y=mx+b\\(27)=(8)(2)+b\\27=16+b\\11=b\\b=11[/tex]
Now, with the slope and the y-intercept, you can write the equation of the line:
[tex]y=8x+11[/tex]
Finally, you can use that equation to solve for y at x = -2:
[tex]y=8(-2)+11\\y=-16+11\\y=-5[/tex]
The value of p is -5.
You can also see that on a graph.
How many 4/5are in 1
Answer:
If your gonna ask it on groups its one group
An office administrator earns $16 an hour, and she works 48 hours a week.
What is her weekly wage?
Answer:
768
Step-by-step explanation:
16x48= 768
Answer:
768
Step-by-step explanation:
you multiply 16 times 48 to find the weekly wage
please i need help on this question
The present year is 2014. Which year comes AFTER THE NEXT 3 years?
Answer:
2017 Pls mark me as a brainliest I really need it
How much interest will you earn if you deposit
$4000 into an account compounded semi-annually
at 2.8% for 5 years?
Answer:
45215.31
Step-by-step explanation:
$596.6 is the interest will you earn if you deposit $4000 into an account compounded semi-annually at 2.8% for 5 years.
What is compounding?
Compounding is the process whereby interest is credited to an existing principal amount as well as to interest already paid. Compounding thus can be construed as interest on interest—the effect of which is to magnify returns to interest over time, the so-called “miracle of compounding.”
According to question,$4000 into an account compounded semi-annually at 2.8% for 5 years.
We have to find interest rate.
Formula for compound interest is [tex]P[(1+i)^n-1][/tex]
Since compounding is semi-annually,
[tex]i=\frac{0.028}{2}[/tex][tex]=0.014[/tex] (since compounding is semi-annually)
[tex]n[/tex]=number of years=[tex]5[/tex] ×[tex]2=10[/tex] years (since compounding is semi-annually)
So, compound interest
[tex]=[/tex][tex]P[(1+i)^n-1][/tex]
[tex]=4000((1+0.014)^{10} -1))[/tex]
[tex]=4000[/tex]×[tex]0.1491[/tex]
[tex]=596.6[/tex]
Hence we can conclude that,$596.6 is the interest will you earn if you deposit $4000 into an account compounded semi-annually at 2.8% for 5 years.
Learn more about compound interest here:
https://brainly.com/question/14295570?referrer=searchResults
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There is a cookie jar in Julio's kitchen filled with 7 cookies. His mother bakes some more cookies. Now there are 14 cookies. How many cookies did Julio's mother bake.
Two motorcyclists, who start their journeys at the same instance from two different cities,
travel with uniform speeds of 40 km/h and 50 km/h respectively towards each other. If they meet
each other after 1.5 hours after commencing their journeys, find the distance between the two
cities.
QUICK
Answer:
54
Step-by-step explanation:
Which statement is false?
A. The lines of symmetry in a circle are too many to count.
B. A scalene triangle has no line of symmetry.
C. A trapezoid has only one line of symmetry.
D. A regular octagon has only four lines of symmetry.
Answer:
options a is answer
Step-by-step explanation:
options a is answer
y=x-5 find the four points in the inverse
The speed of a train is 90 km per hour so how much will it be in m /s .
Answer:
90km/h in m/s will be
90×1000m/3600s ( convert 1km/1h to 1000m/3600sec )
=> 25m/s
we have: 90 km/h = 90 ÷ 3,6 = 25 m/s
Ok done. Thank to me :>