Harry buys 6 yards of rope to make a swing. Lenny spends $16 on rope.
How much do the two boys spend in all?
A bag contains 4 yellow, 2 red, and 6 green marbles. two marbles are drawn. the first is replaced before the second is drawn. a random variable assigns the number of red marbles to each outcome. calculate the expected value of the random variable.
a. 0.67
c. 0.17
b. 0.56
d. 0.33
Answer:
c. 0.17
Step-by-step explanation:
The bag have 4 + 2 + 6 = 12 balls.
There are 2 red marbles, in 12, the probability to take one red is 2/12. Is important to remember that the first marble was replaced before the second outcome, so the chance for the second is also 2/12:
2/12 = 1/6 = 0.1666 ≈ 0.17
The expected value of the random variable that assigns the number of red marbles to each outcome is 0.17.
What is the probability?Probability is used to estimate how likely an event would happen. The probability the event occurs with certainty is 1 and the probability that the event does not occur with certainty is 0.
Expected value = number of red marbles / total number of marbles
2/12 = 0.17
To learn more about probability, please check: https://brainly.com/question/13234031
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Pls help me simplify thisss
9514 1404 393
Answer:
2a(a^3 +a^3 b^2 +a b^2 +b^3)/(a^2 +b^2)
Step-by-step explanation:
Division is the same as multiplication by the inverse. Multiplication and division proceed left-to-right. So, we can rewrite the expression as ...
[tex]\dfrac{a^3+a^3b^2+ab^2+b^3}{2a(a-b)^2}\times\dfrac{a^2-b^2}{a+2b}\times\dfrac{a^2+ab-2b^2}{a+b}\times\dfrac{4a^2}{a^2+b^2}\\\\=\dfrac{(a^3+a^3b^2+ab^2+b^3)(a-b)(a+b)(a+2b)(a-b)(4a^2)}{2a(a-b)^2(a+2b)(a+b)(a^2+b^2)}\\\\=\dfrac{4a^2}{2a}\cdot\dfrac{(a-b)^2}{(a-b)^2}\cdot\dfrac{a+2b}{a+2b}\cdot\dfrac{a^3+a^3b^2+ab^2+b^3}{a^2+b^2}\\\\=\boxed{\dfrac{2a(a^3+a^3b^2+ab^2+b^3)}{a^2+b^2}}[/tex]
use the distributive property to simplify the expression 1/5(2a-15b+5/6c)+7b.
Answer:
2/5a + 4b + 1/6c
Step-by-step explanation:
Distribute 1/5 throughout the parentheses (multiply it by each term enclosed in the parentheses) --> this gives you 2/5a -3b + 1/6c + 7bThen you just combine like terms to get your answer. In this case, the only like terms you need to combine are -3b and 7b to get -3bWhich of the following is not equivalent to this expression?
2m + 10m +14+3
A. m +12m +8+9
B. 2m + 10 + 10m +7
C. 6m + 6m - 1 + 18
D. 15m +15 - 3m +2
Answer:
A
Step-by-step explanation:
the given equation can be simplified to 12m+17
so if we simply the other options we see that A = 13m+17
The table shows the advertised prices of different quantities of DVDs at several discount electronics stores.
A 2-column table with 3 rows. Column 1 is labeled Store with entries Bernie's Bargains, Greg's Giveaways, Stan's Steals. Column 2 is labeled DVD Advertised Prices with entries 6 D V D s for 59 dollars and 70 cents, 10 D V D s for 99 dollars and 70 cents, 8 D V D s for 79 dollars and 68 cents.
How much do 15 DVDs cost at the store with the lowest unit price?
Answer:
149.25
Step-by-step explanation:
Man I did the question and i got it wrong so after the second time of getting it wrong it gave me the answer.
3. If 2x +9 32, then x could be
11.5?
Answer:
Yes
Step-by-step explanation:
We can see step by step how to solve for x, and get 11.5:
2x+9=32
Subtrract the 9 from both sides. You should always try to get the number on one side, and the variable on the other:
2x+9-9=32-9
=
2x=23
In the end, once the number values are on one side, and the variable value on the other, you want you varaible to be 1.
When I mean 1, I mean you want 1x, or just x.
Here we see 2x=23, meaning we need to divide both sides by 2, to get 1x:
2x/2=23/2
=
x=11.5
So x equals 11.5, and you were correct.
Hope this helps!
Two trucks leave a warehouse at the same time, traveling in opposite directions. The rate of the faster truck exceeds that of the slower truck by miles per hour. After hours, they are miles apart. What are the rates of the trucks? Use the table below to organize your work
Answer:
Speed of the slower truck = 57.5 miles/hour
Speed of the faster truck = 62.5 miles/hour
Step-by-step explanation:
Using missing information;
Assume;
Speed of the slower truck = a
Speed of the faster truck = a + 5
Distance traveled by the slower truck = d
Distance traveled by the faster truck = 600 - d
So,
a(5) = d ........ Eq1
(a+5)(5) = 600 - d
5a + 25 = 600 - d
So,
5a + 25 = 600 - 5a
10a = 575
a = 57.5
Speed of the slower truck = 57.5 miles/hour
Speed of the faster truck = a + 5
Speed of the faster truck = 57.5 + 5
Speed of the faster truck = 62.5 miles/hour
Three rays have a common vertex on a line. Write and solve equations to find the measures of m and n
Answer:
n = 90 - 62
n = 28º
m = 180 - (62 + n + 27)
m = 180 - (62 + 28 + 27)
m = 180 - 117
m = 63º
Which is the best explanation for why − √ 10 is irrational?
Step-by-step explanation:
- square root of 10 is irrational because it is less than zero. - square root of 10 is irrational because it is not a whole number.
Upon prime factorizing 10 i.e. 21 × 51, 2 is in odd power. Therefore, the square root of 10 is irrational.
Help please someone
Answer: step by step explanation
it's just that you have to multiply the number under root and it's any number is square then you can take it out of root.
Determine the equation of the graph
⚠️❗️⚠️❗️⚠️❗️10 POINTS PLEASE HELP ASAP I NEED THE ANSWER TO THE PROBLEM ANSWERED BELOW ⚠️❗️⚠️❗️⚠️❗️
What is the area❓ No links or troll answers you’ll be reported
Answer:
Step-by-step explanation:
so you have 2 rectangles and you first need to find what the area is for the side opposite 25 which is 9 because the 2 9's are the same as the missing number.
now 16x9=144
and 9x9x9=729
725x25=18225
hope that helps
have a great day/night
19NBoli
Can someone please answer this
Answer:
[tex] {7}^{3} (as \: a \: single \: power \: of \: 7)[/tex]Step-by-step explanation:
Given
[tex] {7}^{4} \div 7[/tex]
Since,
[tex] {a}^{x} \div {a}^{y} = {a}^{x - y} [/tex]
Hence,
[tex] = {7}^{4 - 3} [/tex]
[tex] = {7}^{3} (ans)(as \: a \: single \: power \: of \: 7)[/tex]
Calculate the distance between the points KL if L is located on the origin and K is 3 units to the left of y-axis and 5 units upwards from the x-axis.
Answer:
answer must be √34 in my opinion.
brett colors 25% percent of the total shapes on the paper he colors 6 shapes enetr the number of shapes on bretts paper
HELP QUICK PLS
Answer:
24 shapes
Step-by-step explanation:
Answer:
24 shapes I hope this helps :)
Step-by-step explanation:
7(-6 1/8) or 7 x -6 1/8=?? brainilist
Answer:
Step-by-step explanation:
[tex]7 \times -6\frac{1}{8} = 7 \times \frac{-49}{8} = -\frac{343}{8}[/tex]
Answer:
-343/8 or -42 7/8
Step-by-step explanation:
7(-49/8) = -343/8 or -42 7/8
Using the diagram below, what is m< S to the nearest degree?
A) 64 degrees
B) 26 degrees
C) 67 degrees
D) 23 degrees
Answer:
C
Step-by-step explanation:
tan S = opposite / adjacent
S = tan -1 ( 120 / 52) = 66.57 degree ≅ 67
A car can drive 30 miles in 25 minutes. How many miles could it drive in 75 minutes?
Answer:
90
First, divide: 75/25=3
Last 3x 30= 90
or
30
x 3
--------
90
if you had to make 1000 toys and one toy used 2 (AA) batteries. how many would you need?
Answer:
2000 batteries
Step-by-step explanation:
1000*2=2000
Translate this phrase into an algebraic expression,
17 increased by twice a number. Use a variable n to represent the unknown number.
Please help and thank you
Answer:
17+2n
Step-by-step explanation:
At the moment a certain medicine is injected, its concentration in the bloodstream is 120 milligrams per liter. From that moment forward, the medicine's concentration drops by 30% percent each hour. Write a function that gives the medicine's concentration in milligrams per liter, C(t), t hours after the medicine was injected. If anyone responds, thank you <3
Answer: [tex]C(t) = 120(1-0.30)^t[/tex]
Step-by-step explanation:
Exponential equation for decay:[tex]y= A(1-r)^t[/tex], where A = initial value, r= decay rate , t= time.
As per given, A = 120ml , r= 0.30
[tex]C(t) = 120(1-0.30)^t[/tex]
Hence, the required function that gives the medicine's concentration in milligrams per liter, C(t), t hours after the medicine was injected.
[tex]C(t) = 120(1-0.30)^t[/tex]
What multiplies to 18 and sums up to negative 19
Answer:
-18 and -1
Step-by-step explanation:
(-18) + (-1) = -19
(-18) × (-1) = 18
A square and rhombus are shown below
Answer:
B
Step-by-step explanation:
All the angles of square are 90° but in Rhombus all angles are not right angle only the angles opposite to each other are equal.
I got this answer from Gauthmath and i think you should try it to.
hope this was the answer you were looking for.
Answer:
B
Step-by-step explanation:
All the angles in a rhombus are not always 90 degrees.
Hope that this helps!
which function represents the sequence? A.f(n) =n+3 B.f(n)=7n-4 C.f(n)=3n+7 D.f(n)=n+7
Answer:
f( n ) = 7 n - 4
Step-by-step explanation:
Terms : 3,10 , 17, 24, 31
Means this = [tex]a_{1}[/tex] = 3
The differences:
d = 10-3=7
our term of the sequence =
f( n ) = 7 n - 4
Mike is completing an ORDER OF OPERATION question with the following expression 7(a-b). What is true about this problem? ,a.) It can be simplified into 3 + 4a - b, b.) It can be simplified into 7a - b, c.) It can be simplified into 7ab, d.) It cannot be simplified from its current state e.) It can be simplified to 7a - 7b
Answer:
e.
Step-by-step explanation:
it can be simplified to 7a-7b
answer and explain step by step please
Answer:
m∠6 = 110°
Step-by-step explanation:
∠6 and ∠8 are known as corresponding angles meaning they are equal to each other. Since m∠8 = 110°, m∠6 also equals 110°.
Answer:
11o degree
Step-by-step explanation:
angle 6 is 110 degree because the relation between angle 6 and angle 8 is that they are corresponding angles and corresponding angles are always equal.
a park is 9/10 mile long and 4/5 mile wide. What is the area of the park? ENTER ANSWER AS A FRACTION FOR EXAMPLE: 4/10.
The park formed like a rectangle so :
Area = length × width
Area = ( 9/10 ) × ( 4/5 )
Area = 9 × 4 / 10 × 5
Area = 9 × 2 × 2 / 5 × 5 × 2
Area = 18 / 25
pls help me solve this
Answer:
Step-by-step explanation:
5[tex]\frac{5}{6}[/tex] * 4[tex]\frac{1}{2}[/tex]
=5*6+5/6 * 4*2+1/2
=35/6 * 9/2
=35*9/6*2
=315/12
=105/4
=26[tex]\frac{1}{4}[/tex]
the radius of the cylinder is 6 m and the height is 10 m what's the volume?
