Given:
Number of girls = 10
Number of boys = 15
To find:
The probability that the first, second and third place winners will be boys.
Solution:
Total number of boys and girls:
[tex]10+15=25[/tex]
The probability that the first place winner will be a boy is
[tex]P(\text{Boy at first place})=\dfrac{15}{25}[/tex]
Now, the remaining number of boys is 14. So, the probability that the first place winner will be a boy is
[tex]P(\text{Boy at second place})=\dfrac{14}{24}[/tex]
Now, the remaining number of boys is 13. So, the probability that the first place winner will be a boy is
[tex]P(\text{Boy at third place})=\dfrac{13}{23}[/tex]
The probability that the first, second and third place winners will be boys is
[tex]P(BBB)=\dfrac{15}{25}\times \dfrac{14}{24}\times \dfrac{13}{23}[/tex]
[tex]P(BBB)=\dfrac{3}{5}\times \dfrac{7}{12}\times \dfrac{13}{23}[/tex]
[tex]P(BBB)=\dfrac{1}{5}\times \dfrac{7}{4}\times \dfrac{13}{23}[/tex]
[tex]P(BBB)=\dfrac{91}{460}[/tex]
Therefore, the probability that the first, second and third place winners will be boys is [tex]\dfrac{91}{460}[/tex].
tengo cierta cantidad de caramelos . si los agrupo de a 3 me sobran dos, de a 4 me sobra uno y de a 5 no me sobra ninguno . cuantos caramelos puedo tener ? ? ayuda
Answer:
5 porque 3 mas 2 es 5, 4 mas 1 es 5
Kristin and Alex went to track practice. Kristin ran four more than twice as many
yards as Alex. Together, they ran 175 yards. Which equations would represent the
system of equations for this scenario?
Answer:
175/8
Step-by-step explanation:
first 4*2=8 then 8*x=175/8
In ΔPQR, the measure of ∠R=90°, the measure of ∠P=62°, and RP = 8.6 feet. Find the length of QR to the nearest tenth of a foot.
Answer:
in triangle PQR
relationship between base and perpendicular is given by tan angle
tan 62=p/b
tan62=x/8.6
x=tan62×8.6=16.17ft
the length of QR to the nearest tenth of a foot is 16ft.
can someone help please <3
Answer:
-2
Step-by-step explanation:
one minus three equals to negative two
(ONLY TWO CAPITAL LETTERS FOR EACH)WHAT IS THE ANSWER CORRECTLY !!!!!! WILL MARK BRIANLIEST !!!!!! URGENT
Answer:
M and N
Step-by-step explanation:
Which of the following is NOT true? HURRY NOWWWWWW
A. Parallel lines are always in the same plane.
B. Perpendicular lines never intersect at right angles.
C. Parallel lines never intersect each other.
D. Perpendicular lines are always in the same plane.
Answer:
B
Step-by-step explanation:
Perpendicular lines DO in fact intersect and right angels.
Answer:b
Step-by-step explanation:
What is the value of 3n2 - 4m/6 when n = 4 and m = 18?
0 132
0 36
О O
-3
-4.
Get 40 points for helping me
Answer:
send screenshot if u want me to help u please.
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
3*4^(2) - (4*18)/(6)= 36
this is the question...plz hurry..thx
Answer:
20x-21y+14
Step-by-step explanation:
1/5(100x-105y+70)
20x-21y+14
2. True or false: In an exponential expression, you multiply the base by the exponent.
True
False
Answer:
true
Step-by-step explanation:
helppppppppppppppppppp
Evaluate 5÷9(F - 32) when f=50
Find BD
a.4
b.16
c.6
d.12
PLEASE ANSWER WILL MARK BRAINLIEST
la temperatura actual en una ciudad de europa es de 4°c y en en noticiero se imforma q bajara a lo largo del dia a 10°c cual es la temperatura minima
Answer:i dont speak your laguage but i think you talking about tempature so 14c
Step-by-step explanation:
What is the equation of the line that passes through the point (-6, -2) and has a
slope of 1/6 ?
Answer:
y = 1/6x - 1
Step-by-step explanation:
We already know that the slope is 1/6, which will be the m in the equation.
To find the y-intercept, you will have to plug the values of x and y into the equation so far, which is y = 1/6x + b.
-2 = 1/6 (-6) + b
-2 = -1 + b
-1 = b
Someone help plz! And plz make sure it’s right !
Answer:
16^2 = 8^2 + x^2
x^2 = 16^2 -8^2
x^2 = 256 -64
x^2 = 192
x = sq root (192) = 13.8564064606
Step-by-step explanation:
i don't know if this is right, if it is wrong i'm sorry, but basically it is 12.7m
Find the value of x if
[tex]3 \times {5}^{x} = \frac{3}{125} [/tex]
Obie Trice
Real name no gimmicks
Two trailer park girls go round the outside
Round the outside, round the outside
Two trailer park girls go round the outside
Round the outside, round the outside
Guess who's back, back again
Shady's back, tell a friend
Guess who's back, guess who's back?
Guess who's back, guess who's back?
Guess who's back, guess who's back?
Guess who's back?
I've created a monster, 'cause nobody wants to see Marshall no more
Answer:
they want shady im chop liver come on dip im on your lips its time to settle all my law suites frick you debby
Step-by-step explanation:
HELP :(
1. Your friend Shawn tells you that he has been practicing flipping coins so that they will land on heads more frequently than tails. He claims that he can now flip a coin and yeh probability it will land on head is 4/3. Do you believe him? Why or Why not?
Use the Pythagorean Theorem to find the missing length and then round the result to the nearest tenth. a = 6, b = 3, C =
Answer:
I got 6.7 but I'm not entirely sure
Step-by-step explanation:
Pythagorean Theorem is A² + B² = C²
So you take 6² + 3² = 45
Take 45 and square root it
The answer should be 6.708, but rounding to the nearest tenth, the answer is 6.7
9. There are 150 fruits on a market stall.
54 are oranges and 72 are apples and the rest are pears.
What percentage of the fruit are pears?
You must show your calculations. 015)
(2 Points)
Answer:
24%
Step-by-step explanation:
150 = 54 + 72 = 126 + 24 = 150
24/100 = 24%
Ahhh...first we need to find out the percentage of the oranges+the apples. then take it away from 100%.
I did a bit of tinkering and figured out that the orange percentage is 36% of it.
([tex]\frac{150}{54} =\frac{75}{27} =36%[/tex]%)
That means that the apples are 48% and the pears are 100-(36+48)=100-84=16%
이 표현을 확장하도록 도와주세요-(4-x)
Answer:
Step-by-step explanation:
[tex]\mathrm{Expand\:}-\left(4-x\right):\quad -4+x[/tex]
Steps
[tex]-\left(4-x\right)[/tex]
[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:-\left(a-b\right)=-a-\left(-b\right)[/tex]
[tex]-\left(4-x\right)=-4-\left(-x\right)[/tex]
[tex]=-4-\left(-x\right)[/tex]
Simplify
[tex]=-4+x[/tex]
도움이되기를 바랍니다
1. Find the 90% Cl for the population mean if sample
mean= 12, SD=2.3 and sample size is 65.
2. Find the 88% Cl for the population mean if sample
mean=23, SD=12, and sample size is 45.
3. Interpret #1 and #1.
Answer:
The answer is below
Step-by-step explanation:
1)
mean (μ) = 12, SD(σ) = 2.3, sample size (n) = 65
Given that the confidence level (c) = 90% = 0.9
α = 1 - c = 0.1
α/2 = 0.05
The z score of α/2 is the same as the z score of 0.45 (0.5 - 0.05) which is equal to 1.65
The margin of error (E) is given as:
[tex]E=Z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } =1.65*\frac{2.3}{\sqrt{65} } =0.47[/tex]
The confidence interval = μ ± E = 12 ± 0.47 = (11.53, 12.47)
2)
mean (μ) = 23, SD(σ) = 12, sample size (n) = 45
Given that the confidence level (c) = 88% = 0.88
α = 1 - c = 0.12
α/2 = 0.06
The z score of α/2 is the same as the z score of 0.44 (0.5 - 0.06) which is equal to 1.56
The margin of error (E) is given as:
[tex]E=Z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } =1.56*\frac{12}{\sqrt{45} } =2.8[/tex]
The confidence interval = μ ± E = 23 ± 2.8 = (22.2, 25.8)
WILL GIVE BRAINLIEST!
The cellular phone service for a business executive is $35 per month plus $0.40 per minute of phone use over 900 min. For a month in which the executive's cellular phone bill was $98.20, how many minutes did the executive use the phone?
Which exponential functions have been simplified correctly? Check all that apply.
f (x) = 5 RootIndex 3 StartRoot 16 Endroot Superscript x Baseline = 5 (2 RootIndex 3 StartRoot 2 EndRoot) Superscript x
f (x) = 2.3 (8) Superscript one-half x Baseline = 2.3 (4) Superscript x
f (x) = 81 Superscript StartFraction x Over 4 EndFraction Baseline = 3 Superscript x
f (x) = three-fourths StartRoot 27 EndRoot Superscript x Baseline = three-fourths (3 StartRoot 3 EndRoot) Superscript x
f (x) = (24) Superscript one-third x Baseline = 2 (RootIndex 3 StartRoot 3 EndRoot) Superscript x
Answer:
Option A, C, D, are the correct options.
Step-by-step explanation:
Answer:
A, C, and D are correct
Step-by-step explanation:
help
.....................
I Think the answer is D!! Please mark me brainliest! Thank you in advance!
Find the slope between the points (-8,-4) and (0,0).
Answer:
1/2
Step-by-step explanation:
slope = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
(0-(-4))/(0-(-8)) = 1/2
2$ is what percent of 20$
Answer:
10%
Step-by-step explanation:
If you do 2x^10 = 20. Plus, 20 divide by 2 = 10. :) Hope this helps!
Answer:
10%
Step-by-step explanation:
(Explanation in picture below :P)
Hopefully this helps :3 sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
For each fraction, write an equivalent fraction that has a denominator of 36.
1. 5/12 2. 1/6 3. 7/9
Answer:
Step-by-step explanation:
1) 5/12
To make the denominator to 36, 12 should be multiplied by 3. As we are multiplying the denominator by 3, numerator also should multiplied by 3
[tex]\frac{5}{12}=\frac{5*3}{12*3}=\frac{15}{36}[/tex]
2) 1/6
[tex]\frac{1}{6}=\frac{1*6}{6*6}=\frac{6}{36}\\[/tex]
3) 7/9
[tex]\frac{7}{9}=\frac{7*4}{9*4}=\frac{28}{36}[/tex]
Please help!!! I’ll give you the Brainliest answer!! Thank you!!
Answer:
hi its C
Step-by-step explanation:
this question can be solved by thales law
[tex] \frac{x}{5} = \frac{x - 6}{3} \\ \\ 3x = 5x - 30 \\ \\ 2x = 30 \\ x = 15[/tex]
hope this help
I Need This One Also ASAP Plz
Y= x2 - 2 =7