Probabilities are used to determine the chance of events
The probability that she did NOT choose a boy either time is 1/3
The given parameters are given as:
[tex]\mathbf{n = 10}[/tex] --- total number of students
[tex]\mathbf{Boys = 4}[/tex] --- total number of boys
[tex]\mathbf{Girls = 6}[/tex] ---- total number of girls
If she did not choose a boy in either selection, then it means that both selections are girls.
So, the probability is calculated using:
[tex]\mathbf{P = P(Girl) \times P(Girl)}[/tex]
The selection is without replacement.
So, we have:
[tex]\mathbf{P = \frac{Girl}{n} \times \frac{Girl-1}{n-1}}[/tex]
Substitute known values
[tex]\mathbf{P = \frac{6}{10} \times \frac{6-1}{10-1}}[/tex]
[tex]\mathbf{P = \frac{6}{10} \times \frac{5}{9}}[/tex]
Simplify
[tex]\mathbf{P = \frac{1}{3}}[/tex]
Hence, the probability is 1/3
Read more about probabilities at:
https://brainly.com/question/11234923
Suppose the population of a town is 100,000 in 2014. The population increases at a rate of 4.5 percent every year. What will the population of the town be in 2020? Round your answer to the nearest whole number.
Answer:
127,000 people by 2020
Step-by-step explanation:
4.5% per year
We have 6 years since 2020-2014=6 years
4.5 • 6 = 27% of 100,000 = 27,000
To find our total population, it would be 100,000+27,000=127,000 people would live there in 2020
This is assuming the birth rate is consistent
Brainliest please :)
Write
3^2 × 3√3 as a single power of 3.
Answer:
27√3
Step-by-step explanation:
please tell me what is -9d×2-d×2
Answer:
I believe it's (2d - 1) • (d + 2)
Step-by-step explanation:
Step-1 : Multiply the coefficient of the first term by the constant 2 • -2 = -4
Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is 3 .
-4 + 1 = -3
-2 + 2 = 0
-1 + 4 = 3 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -1 and 4
2d2 - 1d + 4d - 2
Step-4 : Add up the first 2 terms, pulling out like factors :
d • (2d-1)
Add up the last 2 terms, pulling out common factors :
2 • (2d-1)
Step-5 : Add up the four terms of step 4 :
(d+2) • (2d-1)
Which is the desired factorization
Answer - (2d - 1) • (d + 2)
Answer:
-20dStep-by-step explanation:
please tell me what is -9d×2-d×2
-9d×2-d×2
-18d -2d
-20d
mike deposited a sum of rs 64000 in a post office for 4 years, compound annually at 4% per annum. What amount will he get on maturity
Answer:
79507
Step-by-step explanation:
because 64000(1+15/200)^3= 79507
what times what equals 48 and adds to -16
Answer:
-4 and -12
Step-by-step explanation:
For what times what equals 48:
-4(-12) = 48
-4 - 12 = -16
Answer:
x= -4 and y= -12
Step-by-step explanation:
x*y=48
x+y=-16
solve one equation for x
y=-16-x
then plug that y into the other equation
x(-16-x)=48
-16x-x^2=48
multiply by -1
x^2+16x=-48
complete the square
x^2+16x+64=-48+64
(x+8)^2=16
solve for x
x+8=sqrt(16)
x+8=4
x=4-8
x=-4
plug x back into original equation
x+y=-16
-4+y=-16
y=-16+4
y=-12
so your answers are x=-4 and y=-12
variables combining like terms
16. x+3
17. 5y+3
18. x+5y-5
Answer:
16.3x
17. 8y
18.x+y
I thing these are the answers of these equations
3. Kyle and Michael a rup a lap around a track. Kyle gets a 50 a meter head start and runs 3 meters
per
second. Michael runs at a speed of 4 meters per second. How long will it take for Michael
to reach Kyle?
Answer:
50 second
Step-by-step explanation:
let the distance between Michael and kyle (s)
s= 50 m
we want to know how long it takes for Michael(speed 4 m/s ) to reach kyle(3m/s)
v = s/t
t = s/v
Vm = speed of Micheal
Vk = speed of kyle
v = ( Vm - Vk )
t = 50/(4-3) = 50 second
If I type 800 words in 16 minutes,
how many words do I type per minute
Answer:
50 per minute
Step-by-step explanation:
Answer:
The answer is 50 words per minute
Step-by-step explanation:
16x50=800
800/16=50
HOPE THIS HELPS!!
Mr.smith has 28 children in his class. If he wants to give each child 2 sweets how many sweets dose he need to buy?
Which expression does not belong with the other three? Explain your reasoning.
2(x+2) 5(x-8) 4+(x•4) 8(9-x)
Which one does not belong:
Explain your reasoning:
Answer:
3. 4 + (x · 4)Step-by-step explanation:
Given expressions:
2(x + 2) 5(x - 8) 4 + (x • 4) 8(9 - x)Three of them in the form of:
a(b + c)One of them in the form of:
a + (bc)Number 3 doesn't belong
JE VOUDRAI CONNAITRE LE RESULTA DE
5√200
The final grade on your math exam was determined by the function f(x) = 100 − 2x. Which statements are correct?
A) 100 is the maximum grade.
B) y equals your final grade.
C) This is an exponential function.
D) 2 is what each question is worth.
E) x is the number of correct problems.
Answer:
A. True
B. True
C. False
D. True
E. False
Step-by-step explanation:
A. True, you cannot get higher than 100 on this test , as you cannot get a negative amount of questions wrongs
B. True, as y = f(x)
C. False, as there is no exponents
D. True, as if x=1, you lose 2 points
E. False, as x is the number of wrong problems
What 5,727 dived by 83
Answer:
415
____
727
Step-by-step explanation:
Answer:
69
Step-by-step explanation:
find the sum of the first 7 terms of the geometric sequence : 3,9,27,81,...
(with solution)
PA HELP POOO THANKSSSS
Answer:
3279
Step-by-step explanation:
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a(r^n-1)}{r-1}[/tex]
where a is the first term and r the common ratio
Here a = 2 and r = a₂ ÷ a₁ = 9 ÷ 3 = 3 , then
S₇ = [tex]\frac{3(3^7-1)}{3-1}[/tex] = [tex]\frac{3(2187-1)}{2}[/tex] = 1.5 × 2186 = 3279
A local business donated 40,782 marbles to distribute equally
among 42 sixth grade classes in the district. How many marbles
did each class receive?
Answer:
971
Step-by-step explanation:
40782/42=971
Answer: 971 marbles per class
Step-by-step explanation:
40,782 marbles divided by 42 classes =
971 marbles per class
Check
971 x 42= 40782
3 feet in 4 minutes
A._______________
B._______________ per 16 minutes
Answer:
B. 12 per 16 minutes
Step-by-step explanation:
4×4=16, so multiply 3x4to get 12
A rectangular room has an area of 120 square feet. a. The length of the room is 15 feet. Find the perimeter of the room. The perimeter of the room is feet.
Paetan pays $10.73 for 3.7 pounds of cherries. What is the cost for 1 pound of cherries?
Answer:
$2.9
Step-by-step explanation:
3y-8=3y
solve for y
help asap
step by step please
Answer:
y=4/3
Step-by-step explanation:
3y-8=3y
3y+3y=8
6y=8
y=8/6=4/3
From a box of 120 mangoes, Brent sold 60%. How many mangoes were left?
Given:-
From a box of 120 mangoes, Brent sold 60%.To Find :-
How many mangoes are left .Solution :-
According to the question, box has 120 mangoes . The number of mangoes he sold will be ,
[tex]\longrightarrow[/tex] n(sold) = 60% of 120
[tex]\longrightarrow[/tex] n(sold) = 60/100 × 120
[tex]\longrightarrow[/tex] n(sold) = 3/5 × 120
[tex]\longrightarrow[/tex] n(sold) = 72
Hence the number of mangoes left will be ,
[tex]\longrightarrow[/tex] n(left) = 120 - 72
[tex]\longrightarrow[/tex] n(left) = 48
Hence the number of mangoes left is 48.
HELPPPP ME PWEASEEEEE
2y - 3 = 4y + 6
Subtract 6 from both sides
2y -9 = 4y
Subtract 2y from both sides
-9 = 2y
Divide both sides by 2
Y = -9/2 or -4.5 as a decimal
Becky invests some money that she anticipates will average an annual return of 7%. About how many years will it take Becky’s money to double at this rate? Show your work using function notation.
The number of years it would take Becky to double the amount invested is 10 years.
The rule of 70 is a rule of thumb that is used to know the number of years it would take an investment to double at the interest rate. The formula entails dividing 70 by the interest rate.
Rule of 70 = 70 / interest rate
70 / 7 = 10 years
To learn more, please check: brainly.com/question/2262294
Answer:
About 14.3 yearsStep-by-step explanation:
The function for this case would be:
f(x) = 7x, where f(x) is the average return of %, x - is the number of yearsIf we need the money to double, the return rate should be 100%:
7x = 100x = 100/7x = 14.3 years464.93 to the nearest millions
Answer:
It can not be rounded to the nearest millionths bc there is not millionths place in the decimal
Step-by-step explanation:
what does the slope of jessicas function represent?
tyia
Answer:
The slope represents the rate of change of earnings in a week for every unitary change in number of doors knocked. For Jessica's function, her earnings change by +7 units for every unit of door she knocks.
Step-by-step explanation:
So, when comparing this to the meaning of slope stated above, we can say that the slope of Jessica's function represents the rate of change of earnings in a week for every unitary change in number of doors knocked.
Find the lowest common multiple (LCM) of 18 and 21.
LMC (18,21) = 126
ok done. Thank to me :>
În figura alăturată, este un pătrat cu = 12 cm, punctul este mijlocul lui (), ∩ = {}, iar
∩ = {}
Answer:
yes
Step-by-step explanation:
Hi I really need help with this please 25POINTS!!!
What is the Point of Maximum Growth of this function?
f(x)=(7)/(1+5e^(-0.9x)
Select the correct answer:
(0,7/6)
(0.39,3.5)
(-1.79,3.5)
(1.79,3.5)
Answer:
(0,7/6)
Step-by-step explanation:
After the temperature rose 6°, the thermometer read 64°F.
What is an equation that can be used to find x, the temperature before the 6° increase.
Drag the number, symbol, or operation sign to each box to complete the equation.
Answer: 64 - 6 = x
Step-by-step explanation:
Answer:
64-6=x
Step-by-step explanation:
I took the test.
Use the model to find the missing number in the pair of equivalent expressions.
15 + 9 = ?(5 + 3)
What number is missing from the expression?
Answer:
3
Reasoning:
[tex]3(5+3)=15+9[/tex]
Distribute three to the numbers to get 15+9.
Solve 2x + 3(x+ 10) = 60.
O A. x = 6
O B. x = 5
O C. x= 3
O D. x = 7
Answer:
A. x = 6
Step-by-step explanation:
2x+3(x+10)=60
Use the distributive property to multiply 3 by x+10.
2x+3x+30=60
Combine 2x and 3x to get 5x.
5x+30=60
Subtract 30 from both sides.
5x=60−30
Subtract 30 from 60 to get 30.
5x=30
Divide both sides by 5.
x=
5
30
Divide 30 by 5 to get 6.
x=6