Answer:
1/4
Step-by-step explanation:
Given an event A and event B, the probability of both happening can be determined by multiplying the two individual probabilities.
We can start by finding the individual probabilities
The probability of rolling an odd number is 3/6 = 1/2, as there are 3 odd numbers (1,3,5) on a die and 6 possibilities total. Furthermore, there is a equal chance of rolling each number as it is a fair die
The probability of flipping a head is 1/2, as there are two equal possibilities (heads and tails), with one of them being heads
To find the probability of both happening, we can multiply them to get (1/2) * (1/2) = 1/4
Divide. Write your answer as a fraction in simplest form.
−1/5÷20=
Answer:
-1/100
Step-by-step explanation:
Answer:-1/100
Step-by-step explanation:
Please help me anyone
It's very blurry can u retake it?
What is the volume of the sphere below PLEASE HELP FAST
Answer:
c. 256π/3 units^3
Step-by-step explanation:
Recall that the volume V of a sphere with radius r is given as
V = 4 /3πr3
Hence from the image given, the radius of the sphere which is the distance from the center to any point on the circumference is 4 units hence the volume
V = 4/3 * π * 4^3
= 4/3 * π * 64
= 4*64/3 * π
= 256π/3 units^3
Option c is right
PLEASE HELP ME WITH THIS MATH QUESTION!
Answer:
C
Step-by-step explanation:
First, let's say 4³ is a and 5⁻² is b. We know that (a/b)ⁿ = aⁿ/bⁿ for any n, so
(a/b)⁵ = a⁵/b⁵
= (4³)⁵ /(5⁻²)⁵
Next, one power rule states that (4³)⁵ = 4 ⁽³ˣ⁵⁾ = 4¹⁵ and (5⁻²)⁵ = 5 ⁽⁻²ₓ⁵⁾=5⁻¹⁰, so
(4³)⁵ /(5⁻²)⁵ = 4¹⁵ / 5⁻¹⁰
Next, anything to a negative power (e.g. x⁻ⁿ) is equal to 1 over the absolute value of the power, so x⁻ⁿ = 1/xⁿ. Applying that here, we can say that
5⁻¹⁰ = 1/5¹⁰
4¹⁵ / 5⁻¹⁰ = 4¹⁵ / (1/5¹⁰) = (4¹⁵/1) / (1/5¹⁰) = 4¹⁵ * 5¹⁰
Which of the following sets represent D ∪ E?
{2, 4, 5, 6, 8, 15}
{2, 4, 5, 6, 8, 10, 15, 20}
{10, 20}
{3, 7, 9, 11}
Answer:
{2,4,5,6,8,10,15,20}
Answer:
{ 2,4,5,6,8,10,15,20}
Step-by-step explanation:
D ∪ E
This means the union of the two sets or what is in both circles with no duplicates
{ 2,4,5,6,8,10,15,20}
What’s the answer to this question ?
Answer:
Step-by-step explanation:
[tex]\frac{3}{4} x \frac{8}{3} =2[/tex]
24 is between what integers
Answer:
23 and 25
Step-by-step explanation:
Integers are whole numbers that are either positive, negative, or zero. Fractions and decimals are not integers. Therefore, 24 is between 23 and 25.
Answer:
Positive 23 and positive 25
Step-by-step explanation:
How do you solve combination (working together) rate problems example, if john can do a particular job in 4 hours, but Mitch can do the same job in 3, how long will it take them to do the same job if they work together?
3 hours and 30 minutes as ambod will work half the time
The hypotenuse of a right triangle is 52 in. One leg of the triangle is 8 in. more than twice the length of the other. What is the perimeter of the triangle?
20 in.
26 in.
120 in.
138 in.
Answer:
its c 120in
Step-by-step explanation:
The perimeter of the triangle is,
⇒ 138 in.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The hypotenuse of a right triangle is 52 in.
And, One leg of the triangle is 8 in. more than twice the length of the other.
Hence, We get;
Lengths of legs are,
⇒ x
And, ⇒ 8 + 2x
Hence, We can formulate;
⇒ 52² = x² + (2x + 8)²
⇒ 2704 = x² + 4x² + 64 + 24x
⇒ 5x² + 24x - 2640 = 0
⇒ x = 20 and x = - 132/5
For perimeter;
Take x = 20
Hence, The perimeter of the triangle is,
⇒ 52 + x + (2x + 8)
⇒ 52 + 20 + (2 × 20 + 8)
⇒ 52 + 20 + 48
⇒ 138 in.
Thus, The perimeter of the triangle is,
⇒ 138 in.
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ7
PLEASE HURRY!!
3cx + cx =7
Find the measure of the indicated angle to the nearest degree
We know
[tex]\boxed{\sf cos\theta=\dfrac{B}{H}}[/tex]
[tex]\\ \sf\longmapsto cos\theta=\dfrac{8}{16}[/tex]
[tex]\\ \sf\longmapsto cos\theta=\dfrac{1}{2}[/tex]
[tex]\\ \sf\longmapsto cos\theta=cos60[/tex]
[tex]\\ \sf\longmapsto \theta=60[/tex]
Q:1)A ball is thrown upwards and it goes to the height of 100meter and comes down. What is the net displacement?
Q:2)An athlete completes one round of a circular track of diameter 200m in 30 seconds. Find the distance covered by the athlete at the end of 30 second.
$\sf\underline\bold{Question:1-}$
A ball is thrown upwards and it goes to the height of 100meter and comes down. What is the net displacement?
$\sf\underline\bold{Solution}$
$\sf{According \: to\:the\: question,}$
Displacement for the above situation is 0. As we know, that displacement is the shortest path from the initial to the final point. Here, the initial and the final points are the same, and henceforth, it takes no time to travel. So the displacement is 0.
_________________________$\sf\underline\bold{Question:2-}$
An athlete completes one round of a circular track of diameter 200m in 30 seconds. Find the distance covered by the athlete at the end of 30 second.
$\sf\underline\bold{Solution:}$
$\sf\bold{Given\:parameters:}$
$\sf\small{☆The\:diameter\:of\:the\:circular\:track:200m}$
$\sf{Radius=}$ $\sf\dfrac{200}{2}$ → $\sf\underline{Radius = 100m}$
☆Time taken by an athlete to complete one round : 30 seconds.
$\space$
$\sf\bold{To\:find:}$
❍Distance travelled by an athlete in 30 seconds.
$\space$
❍ AND,Distance travelled by the athlete will be equal to the cumference of the circle.
$\space$
$\space$ $\space$ $\space$ $\space$ $\space$ $\space$ $\sf{So,}$
$\mapsto$ $\sf{Circumference\:of\:the\:circle: 2 πr}$
$\space$
$\mapsto$ $\sf{Circumference=2\times}$ $\sf\dfrac{22}{7}$ $\sf{\times 100}$
$\space$
$\mapsto$ Circumference of the circle : $\sf\dfrac{4400}{7}$
$\space$
[tex]\sf\underline\bold{∴Circumference = 628.57m}[/tex]
$\space$
||Therefore,The distance travelled in 30 seconds, by the athlete is 628.57m.||
______________________0 = 1st answer
628.57 m = Question 2 answer.
1. Sederhanakan dan nyatakan hasilnya dalam bentuk eksponen.
2. Nyatakan soal berikut dalam notasi ilmiah.
Answer:
>
Step-by-step explanation:
HELP QUICK PLS!!!
Which is the lateral area of the cone?
8V3 yd
-60°
O 1287 yd?
2567 yd?
O (64/3) + yd
O (128/2) + yd?
Answer:
A
Step-by-step explanation:
The lateral surface area is given by pi*r*l, we can use trigonometry to find l. 8*sqrt(3)/l=sin(60), l=16 and r is given by tan(60)=8*sqrt(3)/r, r=8. The lateral surface area is 16*8*pi=128*pi
Refer to Table 20-3.A
3. Accofding to the table, what percent of families in Edgerton have income levels below $69,000?
Select one:
O a. 60 percent.
O b. 80 percent.
O C. 40 percent.
O d. 20 percent.
Answer:
A. 60 Percent
Step-by-step explanation:
Quintle means 5.
Below $69,000 covers three of the five quntiles (bottom, second, and middle).
3/5 equals .6 or 60%
x-1 = [tex]\sqrt{x} -1[/tex]
Answer:
[tex]x = 0[/tex] or [tex]x = 1[/tex].
Step-by-step explanation:
Start by adding [tex]1[/tex] to both sides of this equation:
[tex](x - 1) + 1 = (\sqrt{x} - 1) + 1[/tex].
[tex]x = \sqrt{x}[/tex].
If two numbers are equal, their square should also be equal. Therefore, since[tex]x = \sqrt{x}[/tex], it must be true that [tex]x^{2} = (\sqrt{x})^{2}[/tex]. That is: [tex]x^{2} = x[/tex].
Notice that since [tex]x[/tex] is under a square root, the result must ensure that [tex]x \ge 0[/tex].
Subtract [tex]x[/tex] from both sides of the equation:
[tex]x^{2} - x = x - x[/tex].
[tex]x^{2} - x = 0[/tex].
Factor [tex]x[/tex] out:
[tex]x\, (x - 1) = 0[/tex].
Hence, by the Factor Theorem, [tex]x = 0[/tex] and [tex]x = 1[/tex] would satisfy this rearranged equation. Because of the square root in the original equation, these two value must be non-negative ([tex]x \ge 0[/tex]) to qualify as actual roots of that equation.
In this example, both [tex]x = 0[/tex] and [tex]x = 1[/tex] qualify as roots of that equation.
x-1 = \sqrt{x} -1
Math For Solution#BrainliestBunch
Find the length of the third side. If necessary, round to the nearest tenth.
4
Submit Answer
Answer:
attempt 1 out of 2
PLS HELP ASAP
Answer:
5
Step-by-step explanation:
p=4 b=3 h=?
h²=p²+b²
=4²+3²
=16+9
h²=25
h=5
Please help, 20 points. Answer choices in the photo
The graph below shows the height of an object that has been launched off a 50 foot high wall. Approximately how long will it take to hit the ground?
Answer:
4.4
Step-by-step explanation:
Answer:
t = 4.4 seconds
Step-by-step explanation:
It hits the ground when the height is equal to zero
This occurs just before 4.5 seconds
t = 4.4 seconds
if A = 1 2 1 1 and B= 0 -1 1 2 then show that (AB)^-1 = B^-1 A^-1
help meeeee plessss
[tex]A = \begin{bmatrix}1&2\\1&1\end{bmatrix} \implies A^{-1} = \dfrac1{\det(A)}\begin{bmatrix}1&-1\\-2&1\end{bmatrix} = \begin{bmatrix}-1&1\\2&-1\end{bmatrix}[/tex]
where det(A) = 1×1 - 2×1 = -1.
[tex]B = \begin{bmatrix}0&-1\\1&2\end{bmatrix} \implies B^{-1} = \dfrac1{\det(B)}\begin{bmatrix}2&1\\-1&0\end{bmatrix} = \begin{bmatrix}2&1\\-1&0\end{bmatrix}[/tex]
where det(B) = 0×2 - (-1)×1 = 1. Then
[tex]B^{-1}A^{-1} = \begin{bmatrix}2&1\\-1&0\end{bmatrix} \begin{bmatrix}-1&1\\2&-1\end{bmatrix} = \begin{bmatrix}-1&3\\1&-2\end{bmatrix}[/tex]
On the other side, we have
[tex]AB = \begin{bmatrix}1&2\\1&1\end{bmatrix} \begin{bmatrix}0&-1\\1&2\end{bmatrix} = \begin{bmatrix}2&3\\1&1\end{bmatrix}[/tex]
and det(AB) = det(A) det(B) = (-1)×1 = -1. So
[tex](AB)^{-1} = \dfrac1{\det(AB)}\begin{bmatrix}1&-3\\-1&2\end{bmatrix} = \begin{bmatrix}-1&3\\1&-2\end{bmatrix}[/tex]
and both matrices are clearly the same.
More generally, we have by definition of inverse,
[tex](AB)(AB)^{-1} = I[/tex]
where [tex]I[/tex] is the identity matrix. Multiply on the left by A ⁻¹ to get
[tex]A^{-1}(AB)(AB)^{-1} = A^{-1}I = A^{-1}[/tex]
Multiplication of matrices is associative, so we can regroup terms as
[tex](A^{-1}A)B(AB)^{-1} = A^{-1} \\\\ B(AB)^{-1} = A^{-1}[/tex]
Now multiply again on the left by B ⁻¹ and do the same thing:
[tex]B^{-1}\left(B(AB)^{-1}\right) = (B^{-1}B)(AB)^{-1} = B^{-1}A^{-1} \\\\ (AB)^{-1} = B^{-1}A^{-1}[/tex]
62+2{56/(4 multipied by 2)-5
Answer:
Hence The Answer is 66.
Step-by-step explanation:
I Hope It Helps You.
• • •
The simplified expression is 99.3333 (rounded to four decimal places).
To simplify the expression 62 + 2{56/(4 multiplied by 2) - 5}, we'll follow the order of operations (also known as PEMDAS).
First, within the innermost parentheses, we have 4 multiplied by 2, which equals 8. Then, we subtract 5 from 8, resulting in 3.
Next, we have 56 divided by 3, which equals 18.6667 (rounded to four decimal places).
Now, we'll move to the outer set of curly braces. We multiply 18.6667 by 2, giving us 37.3333 (rounded to four decimal places).
Finally, we add 62 to 37.3333, resulting in 99.3333 (rounded to four decimal places).
To learn more about expressions click on,
https://brainly.com/question/19555499
#SPJ2
Complete question is:
Simplify 62+2{56/(4 multipied by 2)-5.
Can you Help me on 23 ?
Answer:
x is 11
Step-by-step explanation:
[tex]{ \sf{ \sqrt{x + 5} - 3 = 1}} \\ { \sf{ \sqrt{x + 5} = 4 }} \\ { \sf{x + 5 = 16}} \\ { \sf{x = 11}}[/tex]
Answer:
[tex]x = 11[/tex]
Step-by-step explanation:
[tex] \sqrt{x + 5} −3=1[/tex]
[tex] \sqrt{x + 5} = 1 + 3[/tex]
[tex] \sqrt{ {x} + 5 } = 4[/tex]
[tex] \sqrt{x + {5}^{2} } = {4}^{2} [/tex]
[tex]x + 5 = 16[/tex]
[tex]x = 16 - 5[/tex]
[tex]x = 11[/tex]
Hope it is helpful....someone please help me I really need help on this or ill fail
Answer:
a. Smart Dot Company: C = 12 + 0.5·t
Communications Plus: C = 2.5·t
b. Please find attached the required tables created using MS Excel cell function tool
c. Please find attached the graph of both relationship created on the same grid with
Step-by-step explanation:
a. The monthly cost of the Smart Dot Company = $12
The hourly cost for internet use on Smart Dot Company = $0.50
The hourly cost of using the Communications Plus = $2.50
Therefore, the total monthly cost, C, for the duration of hours used, t, is given as follows;
Smart Dot Company: C = 12 + 0.5·t
Communication Plus: C = 2.5·t
b. The table of values are created using MS Excel as follows;
[tex]\begin{array}{ll}Smart \ Dot \ Company&\\Time \ (hours)&Cost \ (dollars)\\0&12\\2&13\\4&14\\6&15\\8&16\\10&17\end{array}[/tex] [tex]\begin{array}{ll}Communications\ \ Plus&\\Time \ (hours)&Cost \ (dollars)\\0&0\\2&5\\4&10\\6&15\\8&20\\10&25\end{array}[/tex]
c. Please find attached the graph of both relationship created on the same grid with MS Excel
a, 0,03m3=............ dm3=...........cm3
Answer:
0.03 m³ = 30 dm³ = 30000 cm³
Tricia starts school at 7:00 AM and has lunch at 12:00 PM. She wants to make sure she has something to eat in between. Determine what time she should eat her snack if she is to eat at exactly a time between starting school and eating lunch. (Hint: Set up a horizontal number line as a timeline.) A. A. 9:30 AM
B. 10:00 AM
C. 9:00 AM
D. 10:30 AM
Answer:
D) 9:00 am
Step-by-step explanation:
Because 9:00 is the midpoint of 7 and 12
Item 4
Ellie has 20 books on her shelf. Four of these books are nonfiction, and the rest are fiction.
What is the ratio of fiction books to nonfiction books on the shelf?
5:4
5:1
4:1
I don't know.
Answer:4:1 just taking to test as soon as you
Step-by-step explanation:
The ratio of fiction books to nonfiction books on the shelf is, 4
What is the ratio?A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.
Given that,
Ellie has 20 books on her shelf
Four of these books are nonfiction
The rest are fiction
The ratio of fiction books to nonfiction books on the shelf = ?
The number of fiction books = ?
The number of fiction books = 20 - 4
= 16
Ratio = fiction/nonfiction
= 16/4
= 4
Hence, the ratio is 4
To know more about Ratio check:
https://brainly.in/question/7996583
#SPJ2
The sale price for a jacket that regularly costs $102.00 is now $74.00. With sales tax, a customer pays $82.40.
The polygons in each pair are similar. find the missing side length
If polygons are similar ratio of sides will be same
[tex]\\ \sf\longmapsto \frac{6}{14} = \frac{3}{x} \\ \\ \sf\longmapsto 6x = 14 \times 3 \\ \\ \sf\longmapsto 6x = 42 \\ \\ \sf\longmapsto x = \frac{42}{6} \\ \\ \sf\longmapsto x = 7[/tex]
Describe how to determine the average rate of change between x = 4 and x = 6 for the function f(x) = 2x3 + 4. Include the average rate of change in your answer.
Answer:
152
ΔY = 436 - 132 =304
Δ X = 6-4 = 2
ΔY/X = 304/2 = 152
Step-by-step explanation:
Circle the graphs of the functions.
How did you know which graphs showed a function?
i will mark brainliest
Answer:
Step-by-step explanation:
Relations are only functions if they do not share any x values at all! The 2 graphs there that do not have any of the same x values are graphs A and D. Notice that on graph B, there are several y values that share the x value of 2; on graph C, there are several y values that share the x value of 2.
Answer:
A and D only
Step-by-step explanation:
A function is a relation where each input has its own output ( each x values has its own corresponding y value ) If an input has more than one output than the relation is not a function.
We can tell if a graph shows a function or not by using the vertical line test. If you draw vertical lines on the graph and more than one point is on the vertical line drawn then the graph does not show a function.
For graph B if you draw a vertical line at x = -2 more than 1 point will be on the line meaning that the graph does not show a function.
For Graph C if you draw a vertical line at x = 2 more than 1 point will be on the line meaning that Graph C also does not show a function.
For Graphs A and D you can draw a vertical line anywhere on the graph and no more than 1 point will be on the line therefore Graphs A and D show functions.
Finding Inverses
Find an equation for the inve
3.
y = 3x + 2
