Answer:
P(all female)= 1/2 x 1/2 x 1/2 = 1/8
P(all male ) = 1/2 x 1/2 x 1/2 = 1/8
P(all one gender) = P(all female) + P(all male) = 1/8 + 1/8 = 1/4
What is the probability that a three-child family is two girls and one boy?
Each possible birth order has P=1/8. That is, P(G,G,B)=P(G,B,G)=P(B,G,G)=1/8.
So, P(2G,1B)= 3/8 and P(1G,2B)= 3/8.
This allows us to write the overall gender probability distribution for families of three children as follows:
1/8 will be three girls
3/8 will be two girls and one boy
3/8 will be one girl and two boys
1/8 will be three boys
Adding it all up, we have 1/8 + 3/8 + 3/8 + 1/8 = 1 (100%)
Step-by-step explanation:
Plz show how u got the answer
The perimeter of a triangle is 173 - 5 units. One side is 3x + 5
units and another is 82 – 3 units. How many units long is the third side?
A.6x-7
B.6x-13
C.12x-7
D.22x-23
Ally's tricycle has two different wheel sizes: one larger wheel and two smaller wheels. As Ally travels the distance between her house and her neighbor's house on the tricycle, the larger wheel revolves 10 times and each of the smaller wheels revolve 25 times. If half the circumference of the larger wheel is 5 inches more than the circumference of one of the smaller wheels, what is the distance, in inches, traveled by the tricycle between Ally's house and her neighbor's house?
Answer:
500 inches
Step-by-step explanation:
Let C₁ and n₁ be the circumference and the number of rotations of the larger wheel. Also, let C₂ and n₂ be the circumference and the number of rotations of the smaller wheel. Since the distance moved by both wheels from Ally's house to her neighbor's house is the same, n₁C₁ = n₂C₂. (1)
Also it is given that half the circumference of the larger wheel is 5 inches more than the circumference of one of the smaller wheels.
So, C₁/2 = C₂ + 5
C₁ = 2(C₂ + 5) (2)
Substituting C₁ into (1), we have
n₁C₁ = n₂C₂.
n₁[2(C₂ + 5)] = n₂C₂.
Since n₁ = 10 and n₂ = 25, we have
10[2(C₂ + 5)] = 25C₂
20(C₂ + 5) = 25C₂
expanding the bracket,
20C₂ + 100 = 25C₂
collecting like terms, we have
25C₂ - 20C₂ = 100
5C₂ = 100
dividing both sides by 5, we have
C₂ = 100/5
= 20 inches
So, the distance between Ally's house and her neighbor's house is d = n₂C₂ = 25(20)
= 500 inches
The distance travelled by Ally's tricycle is [tex]500inches[/tex]
Let
[tex]d=\text{the distance between Ally's house and her neighbor's house}\\C_b=\text{the circumference of the larger wheel}\\C_s=\text{the circumference of each of the smaller wheels}[/tex]
Then, from the question
[tex]d=10C_b=25C_s\\\\\frac{C_b}{2}=C_s+5[/tex]
Eliminating [tex]C_s[/tex] from the second statement, we get
[tex]\frac{C_b}{2}=5+\frac{2C_b}{5}[/tex]
Solving for [tex]C_b[/tex],
[tex]C_b=50inches[/tex]
To calculate the distance travelled between her house and her neighbor's house,
[tex]d=10C_b\\\implies d=10\times 50inches=500 inches[/tex]
Therefore, the distance travelled between Ally's house and her neighbor's house is [tex]500inches[/tex]
Learn more about circumferences here: https://brainly.com/question/3131741
There are 425 vegetables at a farmers market stand. Of the vegetables, 125 of them are carrots. What is the ratio of the number of carrots to the number of other vegetables at the stand?
Answer:
the ratio of the number of carrots to the number of other vegetables is 25 : 12
Step-by-step explanation:
The computation is shown below:
Given that
Total vegetables = 425
Out of which 125 vegetables represent carrot
the other vegatables should be
= 425 - 125
= 300
Now the ratio of the number of carrots to the number of other vegetables is
= 125 : 300
= 25 : 12
Hence, the ratio of the number of carrots to the number of other vegetables is 25 : 12
HELPPPP PLEASE MATH FUNCTION
Answer:
a. f(x)=-x+1
Step-by-step explanation:
What is the solution of StartRoot x + 2 EndRoot minus 15 = negative 3?
x = 142
x = 232
x = 322
no solution
Answer:
x = 142
Step-by-step explanation:
The problem;
[tex]\sqrt{x+2} - 15 = -3[/tex]
Inverse operations;
[tex]\sqrt{x+2} -15 = -3\\ +15 +15\\\\\\\\\sqrt{x+2} = 12\\\\[/tex]
Now undo the square, by squaring both sides;
[tex]\sqrt{x+2} = 12\\.^{2} \\\\\\ \\x+2 = 144[/tex]
Inverse oeprations;
x + 2 = 144
-2 -2
x = 142
Answer:
x = 142
Step-by-step explanation:
(:
A human bone is made up of 14 water and 920 minerals, and the rest is living tissue. What decimal represents the amount of a human bone that is living tissue?
A.
0.30
B.
3.30
C.
1.43
D.
0.70
Which of the following triangles is a unique triangle that could not be
rearranged into a different size or shape?
Answer:
im pretty sure its option 3
Step-by-step explanation:
its unique
Answer:
Option 2
Step-by-step explanation: Option 2 is the only one with all three angles. this leads to it not being able to change shape without messing this size and angles up.
Makayla's car used 4 gallons to travel 148 miles. How many miles can the car go on one gallon of gas?
Answer:
34
Step-by-step explanation:
184 divided bye 4
Answer:
37 miles
Step-by-step explanation:
148/4
Look at the picture!!! Which of the following set of coordinate points are ALL solutions to the given system of inequalities? (0, 3); (1, 0); (0, 2) (2, 0); (0, 2); (0, 1) CO, OD: (0, -D: (-1, 0)
Answer:
soo whats the question
please repost question without this drawings
Seven less than three times a number is two.
Answer:
let x be the number
seven less than three times a number ==> 3x - 7
Step-by-step explanation:
The wait times on a computer help line average 4.2 minutes. The standard deviation is 1.3 minutes. Sketch the normal curve showing the wait times at one, two, and three standard deviations from the mean.
Answer:
L
Step-by-step explanation:
1
2
3
4
5
6
7
8
8
0
1
this is dueeeeeee tomorow please help
Answer:
What’s the question?
Step-by-step explanation:
Five out of eight birds that visited the feeder ate the birdseed. If 60 birds ate the birdseed today, how many birds visited the feeder?
Answer:
Therefore, the birds visited the feeder = 96
Step-by-step explanation:
Five out of eight birds that visited the feeder ate the birdseed.
i.e. the ration is: 5/8
Given that 60 birds ate the birdseed today.
Note that if we multiply '5' by '12', we get the number 60.
Now, all we need to is to also multiply '8' by '12' to maintain the initial ratio which is 5/8.
i.e. (5×12) / (8×12) = 60/96
Therefore, the birds visited the feeder = 96
Line t has a slope of -9/2 line u is parallel to t what is the slope of u
Answer:
the slope of the parallel line would also be -9/2
Step-by-step explanation:
Pls help me :)?!!!!!!!
Order the Numbers from least to greatest
8.1 x 10-5
6.5 x 10-4
5.2 x 10-3
Help me please! I'll mark brainliest
Answer:
your going to need to show the whole question
Answer:
One solution
Step-by-step explanation:
Saw it in another answer that was right xD
Slope-intercept form: write an equation from a graph
Answer:
Step-by-step explanation:
y = mx + b
m = slope
b = intercept
Logan invested $180 in an account paying an interest rate of 2,6% compounded
continuously. Assuming no deposits or withdrawals are made, how much money, to
the nearest ten dollars, would be in the account after 12 years?
Answer:
250
Step-by-step explanation:
Compounded Continuously:
A=Pe^{rt}
A=Pe
rt
P=180 r=0.026 t=12
Given values
A=180e^{0.026(12)}
A=180e
0.026(12)
Plug in
A=180e^{0.312}
A=180e
0.312
Multiply
A=245.90784475
A=245.90784475
Use calculator (with e button)
A\approx 250
A≈250
Round to nearest ten dollars
please heart!
VVV and pls rate stars!VVV :D
By calculating on the basis of compound interest, after 12 years Logan will have $242.9 in his account.
What is a compound interest?Compound interest is a type of interest that is compounded after time period it is said to be compounded. After that particular period, the interest is calculated and then added with the principle. For the next duration, the interest is calculated on the sum.
Here, the amount of money after n years as per compound interest,
S = P(1 + r)ⁿ.
Where, P = Principle = $180, r = rate of interest = 2.6%, n = time period = 12 years
Now, S = $180(1 + 2.6/100)¹² = $180(1 + 0.026)¹² = $180(1.026)¹² = $242.9
Hence, after 12 years, Logan will have $242.9 in his bank account.
Learn more about compound interest here: brainly.com/question/25857212
#SPJ2
One brand of cookies is sold in three different box sizes small medium and large the small box has half the volume of the Box the volume of the medium box the volume of the medium boxes X if someone buys one of each size which expression shows the combined volume of the three boxes?
Answer:
3.5x
Step-by-step explanation:
the medium box would be 1x, if small is half the size, its 0.5x, and large is 2x since its 2x the size of medium. add all of them up and its 3.5x size
please help i’ll give brainliest please tysm :))
Answer:
Grape juice has 180 containers.
Step-by-step explanation:
Given that the ratio of containers of orange juice to containers of grape juice in a store is 5 orange juices to 4 grape juices.
i.e.
Orange Juice containers : Grape Juice containers = 5 : 4
Total containers = 405
It means if we divide 405 by 9, we get the 9 equal parts of 45.
i.e. 405 / 9 = 45
as
Orange Juice containers : Grape Juice containers = 5 : 4
It means the share of Grape Juice containers is 4 parts out of 9 parts.
Thus, multiply 45 by 4 to determine the number of containers grape juice have:
45 × 4 = 180 containers
Therefore, grape juice has 180 containers.
evaluate the expression
(7×18+45)÷3×2
please help
Answer:
28.5
Step-by-step explanation:
(7×18+45)÷3×2
7x8 = 126
3x2 =6
(126+45) / 6
126+45= 171
171 /6
171/6 = 28.5
whats the simplified expression of the area 3 feet times 4c feet? I can't figure it out.
Answer:
12c ft.
Step-by-step explanation:
Since multipication is just repeated adding...
3·4c=4c+4c+4c=c+c+c+c+c+c+c+c+c+c+c+c=12c
Or you can do it like this: 3·4·c
3·4=12, 12·c=12c
Given that the following angles are vertical. What is the measure of the missing angle?
(i accidentally clicked 115 ignore that)
Answer:
65
Step-by-step explanation:
I just need 20 words in my answer oh and it's a vertical angle
Dawn is buying a pair of pants that cost $34.98. Tax is 8.2%. What is the total cost of the pants with tax included?
Answer:
$37.85
Step-by-step explanation:
the answer is 37 dollars and 85 cents
What is Slope from two points
What is the slope of the line through (-10, 1) and
(0, –4)?
Answer:
1/2
Step-by-step explanation:
Tom has $60 dollars. He spends $7 for lunch each day. Which equation
shows how much money c he has left after d days?
D. None of these
A. c = 60 + 7d
B. = 60 - 7d
C. = 60 - 75
B seems like the corrects answer because wen dont know how many days and he has 60 dollars
Answer:
B
Step-by-step explanation:
7d is how much money he spends on lunch in all
then you need to subtract from 60 because that is the total amount of money he has
It costs £8 to go on a bowling trip.
A year group of 78 students go on
the trip.
How much do they pay in total?
Answer:
£624
Step-by-step explanation:
£ (78 * 8)
= £624
Hope this helped!
Help
A fair number cube is rolled and then rolled again. Which statement
represents the probability of rolling an odd number and then rolling
another odd number? *
Step-by-step explanation:
Everytime the dice is rolled, there is a 50% chance to get an odd number.
Hence 50% * 50% = 25%.
Find the exact length of the third side.
68
51
Answer:
The value of c is:
c=85 unitsStep-by-step explanation:
Given the right-angled triangle
a=68b=51And we have to determine the value of the hypotenuse 'c'.
c=?
Pythagorean Theorem:
For a right-angled triangle with sides a and b the hypotenuse c
[tex]c=\sqrt{a^2+b^2}[/tex]
[tex]a=68[/tex]
[tex]b=51[/tex]
[tex]c=\sqrt{68^2+51^2}[/tex]
[tex]c=85[/tex] units
Thus, the value of c is:
c=85 units