Answer:
Hence the probability that the number is divisible by 18 is 4/9 or approx. 0.4444. or even 44.4%
Step-by-step explanation:
If we have 9 digits 1–9 placed randomly to form a 9-digit number without repetition and we want the probability of that number is divisible by 18, then we only need to look at the fact if it is divisible by 18, then it is also divisible by 2 and 9. Adding the digits 1–9 would give us the following (including checking for divisibility by 9):
(9 x 10)/2 =90/2 = 45
45÷9=5
By divisibility of 9, if the sum of the digits is divisible by 9, then the original number itself is divisible by 9. Since the number 45 is divisible by 9, we know that all the possible 9-digit numbers will be as well. The only thing we would have to look at is if it is even since the number has to be divisible by 2.
There are 9 digits of which 4 are even (2, 4, 6 or 8).
So the probability that the number is divisible by 2 is 4/9.
Hence the probability that the number is divisible by 18 is 4/9 or approx. 0.4444.
Write an algebraic expression that corresponds to "the opposite of a number "
Answer:
-n
Step-by-step explanation:
If n represents "a number", then the opposite of the number is ...
-n
__
Examples:
The opposite of -3 is -(-3) = 3. The opposite of 10 is -10.
Find the perimeter of ABC with vertices A(0,-4), B(4,-4), and C(0,-1).
A. 7 units
B. 14 units
C. 12 units
D. 32 units
Answer:
C .12 units I think so if wrong I am sorry
Please help me ASAP!!
Thx
Answer:
8
Step-by-step explanation:
The fraction simplifies to 9 ^5
9^5 x 9^3 = 9^8
The temperature at 7:00 a.m, was 12 C, and by 7:00 p.m, it had dropped
to -10°C. Which expression represents the change in temperature:
(A 12 + (-10)
(B 12 - 10
(C -10 + 12
(D -10 - 12
Answer: D -10 - 12
Step-by-step explanation:
Temperature change is (Final T) - (Initial T)
(Final T) = -10C
(Initial T) = 12
(Final T) - (Initial T) = -10C - 12C
Temp Change - 22C
The Zenith occurs in fall equinox. At the same day, find the altitude of the sun at noon at Phnom Penh city (11.50N).
Note: subject Earth Science.
Answer:
78.50°
Step-by-step explanation:
On either equinox, the sun is overhead at the equator. At 11.50 N, the sun will be at elevation ...
90° -11.50° = 78.50°
What two numbers multiplied together equal 42 but when added they equal -13
Answer: -7 and -6
Step-by-step explanation:
I need help with my math homework from The Hung Vuong Learning Centre Incorporated, like immediately please!!! Here is an image for you to answer the questions will receive the Brainliest award if you answer the questions completely! Well anyways, good luck on answering the questions and I will check the answers are appropriate! :)
Answer:
Give me some hint please
Answer:
2. d) L = 10, W = 20
3. c) P = 100
Step-by-step explanation:
2. 2L + W = 40
W = 40 - 2L
A = L x W
= L (40 - 2L)
= 2L^2 + 40L
=-2 (L^2 - 20L)
= -2 (L^2 - 20^2 + 100 - 100)
= -2 (L^2 - 20L + 100) +200
= -2 (L - 10)^2 +200
L = 10
W = 40 - 2(10
=20
3. c. P = 2(L + W)
= 2(49 + 1)
= 100
a. P = 53
b. P = 32.5
d. P = 28
A survey of 500 college students moving into their dorm revealed that 425 brought a microwave, 380 brought a video game console, and 50 brought neither a microwave nor game console. A survey participant is randomly selected. Let M be the event the participant brought a microwave and let C be the event the participant brought a video game console. Organize these events in a two-way table. What is the probability that the participant did not bring a microwave or did not bring a console, P(MC or CC)?
0.10
0.29
0.39
0.90
Answer:
0.90
Step-by-step explanation:
I’m doing the unit test
Answer:
0.29
Step-by-step explanation:
The probability that they brought both is .90
The probability of neither is .29, which is what this question is asking
1. Which of the following is equivalent to x5/2?
1
(1)
5x
2
(3) Vr
2x
(2)
(4) Vx?
Given that the expression in the question is [tex]\displaystyle x^{\frac{5}{2} }[/tex], the equivalent expression
can be found using the rules of indices.
[tex]\displaystyle \underline{x^{\frac{5}{2} } \ is \ equivalent \ to \ x^2 \cdot\sqrt{x}}[/tex]Reasons:
The given expression is [tex]\displaystyle x^{\frac{5}{2} }[/tex]
Required:
To find the equivalent expression
Solution:
According to the rules of indices, we have;
[tex]a^{n + m} = a^n \times a^m[/tex]
[tex]a^{\frac{n}{m} } = \sqrt[m]{a^n}[/tex]
Therefore, the above expression can be expanded as follows;
[tex]\displaystyle x^{\frac{5}{2} } = x ^{2.5} = \mathbf{x^{2 + 0.5}}[/tex]
[tex]\displaystyle x^{2 + 0.5} =\mathbf{ x^2 \times x^{0.5}}[/tex]
Which gives;
[tex]\displaystyle x^2 \times x^{0.5} = \mathbf{x^2 \times \sqrt{x}}[/tex]
Therefore;
[tex]\displaystyle x^{\frac{5}{2} } \equiv x^2 \cdot\sqrt{x}[/tex], which is the form [tex]a^{\frac{n}{m} } = \sqrt[m]{a^n}[/tex]
[tex]\underline{An \ expression \ \mathbf{equivalent} \ to \ x^\frac{5}{2} \ is \ x^2 \cdot \sqrt{x}}[/tex]
Learn more about the rules of indices here:
https://brainly.com/question/8959311
Which triangle congruence postulates can be used to prove that Triangle ABD is congruent to Triangle CDB in Rectangle ABCD?
Answer:
SSS, SAS, ASA, AAS, HL
Step-by-step explanation:
1. SSS (side side side) says if 3 sides of one triangle are congruent to 3 sides of another triangle, then the 2 triangles are congruent.
2. SAS (side angle side) says if 2 sides and the included angle of a triangle are congruent to 2 sides and the included angle of another triangle, then the 2 triangles are congruent.
3. ASA (angle side angle) says if 2 angles and the included side of a triangle are congruent to 2 angles and the included side of another triangle, then the 2 triangles are congruent.
4. AAS (angle angle side) says if 2 angles and the none included side of one triangle are congruent to the corresponding parts of another triangle, then the 2 triangles are congruent.
5 HL (hypotenuse leg) says if 2 right triangles that have a congruent hypotenuse and a corresponding congruent leg, then the 2 triangles are congruent.
Because it is a rectangle, the sides are equal, and they share the same hypotenuse.
Help please please please
Answer:
Step-by-step explanation:
All angles in a triangle add up to equal 180
22x+4=180
22x=176
x=8
20x=?
20(8)=160 degrees
Write a fraction pair of fractions with a common denominator: 1/3 and 3/4
How many points are on this plane?
Answer:
5
Step-by-step explanation:
A,B and C would be the inside of the plane not outside.
8. If APTS – APQR, find the value of x.
5x + 13
T
36
Q
P
30
6x-2
-
S
R
Answer:
x = 7
Step-by-step explanation:
you can create a proportion:
PT / ST = PQ / RQ
36 / 30 = (5x+13) / (6x-2)
cross-multiply:
36(6x-2) = 30(5x+13)
distribute:
216x - 72 = 150x + 390
216x = 150x + 462
66x = 462
x = 7
The value of x for the given triangle sides is x = 7.
What is geometry?Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial properties such as figure distance, shape, size, and relative position. A geometer is a mathematician who works in the field of geometry.
Given that the side PQ = 5x + 13 and the QR is 6x- 2. The value of x will be calculated by the concept of similarity.
PT / ST = PQ / RQ
36 / 30 = (5x+13) / (6x-2)
Cross-multiply the equations,
36(6x-2) = 30(5x+13)
Distribute:
216x - 72 = 150x + 390
216x = 150x + 462
66x = 462
x = 7
To know more about geometry follow
https://brainly.com/question/28832881
#SPJ2
Please help! I highly appreciate it! :D
Here's some required measures !
1 ft = 12 inches 0.4 ft = 0.5 × 12 = 6 inchesLet's calculate its surface area ~
[tex] \sf2[(12 \times 10) + (11 \times 12) + (10 \times 11) ] - 2(7 \times 7) [/tex][tex] \sf2[120 + 132 + 110 ] - 2(49) [/tex][tex] \sf{2(362)} - 98[/tex][tex] \sf724 - 98[/tex][tex]6 \sf26 \: \: in {}^{2} [/tex]2. The sum of the two number is 5 and difference of their squares is 5. Find the difference of the numbers?
help me solomon user.
Answer:
see the attachment
I hope it's help you
Let the two numbers be X and Y
Sum of the two numbers = 5
⇛ X+Y = 5-----(1)
Difference of their squares = 5
⇛ X²-Y² = 5
⇛(X+Y)(X-Y) = 5
⇛5(X-Y) = 5
⇛X-Y = 5/5
⇛ X-Y = 1
The difference of the two numbers = 1. Ans.
also read similar questions: Two numbers differ by 5. The sum of their squares is 193. Find the numbers.
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Lisa is using the equation x2 (x – 5)2 = 157 to find two numbers that differ by 5 and that have squares that sum to 157. when lisa solves the problem using the ...
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What is the simplified expression for 6^4.6^3 over 6^5
6^1
6^2
6^3
6^7
Answer:
6^2Step-by-step explanation:
Question:-To simplify the given expression Expression:-[tex] \frac{ {6}^{4} . {6}^{3} }{ {6}^{5} } [/tex]Solution:-[tex] = \frac{ {6}^{4} . {6}^{3} }{ {6}^{5} } [/tex]
[As we know, a^x . a^y = a^(x+y)][tex] = \frac{ {6}^{(4 + 3)} }{ {6}^{5} } [/tex]
[On Simplification][tex] = \frac{ {6}^{7} }{ {6}^{5} } [/tex]
[As we know, a^x / a^y = a^(x-y)][tex] = {6}^{(7 - 5)} [/tex]
[On Simplification][tex] = {6}^{2} (ans)[/tex]
A sports teacher had 1025 sweets. After distributing these equally amongst all the participants in a sports meet, he had just 1 sweet left with him. Which of these could be the number of sweets given away to each participant?
Step-by-step explanation:
Since it remains only 1 sweet, we can subtract it from the total and get the amount of sweets distributed (=1024).
As all the sweets are distributed equally, we must divide the number of distributed sweets by all its dividers (excluding 1024 and 1, we'll see later why):
1) 512 => 2 partecipants
2) 256 => 4 partecipants
3) 128 => 8 partecipants
4) 64 => 16 partecipants
5) 32 => 32 partecipants
6) 16 => 64 partecipants
7) 8 => 128 partecipants
9) 4 => 256 partecipants
10) 2 => 512 partecipants
The number on the left represents the number of sweets given to the partecipants, and on the right we have the number of the partecipants. Note that all the numbers on the left are dividers of 1024.
Why excluding 1 and 1024? Because the problem tells us that there remains 1 sweet. If there was 1 sweet for every partecipant, the number of partecipants would be 1025, but that's not possible as there remains 1 sweet. If it was 1024, it wouldn't work as well because the sweets are 1025 and if 1 is not distributed it goes again against the problem that says all sweets are equally distributed.
help please anybody Pls
Answer:
the 2nd one and the 3rd one
Step-by-step explanation:
hope this helps
what would be the linear equation for (0,2) and (4,-4)
Answer:your mom
Step-by-step explanation:
srry had to do it
Simplify the expression: 4s+10–2+4s
Answer:
8s+8
Step-by-step explanation:
Put it into groups: (4s+4s)+(10-2)=8s+8
Brainliest is appreciated
Answer:
(4s+4s)+(10-2)= 8s/8 =1 so s=1
Step-by-step explanation:
What's the answer to the picture I cant figure it out...
Answer:
(p.s area is [tex]a[/tex])
To find the area of a rectangular prism you multiply [tex]l*w*h[/tex]
So then we multiply [tex]4*2*3[/tex] to get 24 the answer is
[tex]a=24[/tex]
brainliest pls
15+25 distributive property
Answer:
(5 x 3) + (5 x 5)
Step-by-step explanation:
hope thats what your looking for
50 yards would be approximately how many meters
Answer:
45.72 meters hope this helps!
Solve the inequality.
-7x - 4 > 17
Answer:x<-3
Step-by-step explanation:
Answer:
x < -3
Step-by-step explanation:
[tex]-7x-4>17\\\\-7x-4+4>17+4\\\\-7x>21\\\\\frac{-7x}{-7}>\frac{21}{-7}\\\\x<-3[/tex]
Eliza fell asleep at 9:35 pm she awoke at 8 hours 45 minutes later what time did she wake up??
Answer:
6:20 AM
Step-by-step explanation:
pi(r^2)(12)=324 , how do you find the radius of this equation?
Answer:
[tex]r=\sqrt{\frac{27}{\pi } }[/tex]
Step-by-step explanation:
[tex]\pi r^{2} (12)=324[/tex]
[tex]\pi r^{2} =27[/tex]
[tex]r^{2} =\frac{27}{\pi }[/tex]
[tex]r=\sqrt{\frac{27}{\pi } }[/tex]
A triangle has two sides of length 6 and 18. What is the smallest possible whole-number length for the third side?
Answer:
Step-by-step explanation:
A triangle has two sides of length 14 and 5. What is the largest possible whole-number length for the third side?
Answer:
11 units
Step-by-step explanation:
Between 18-8 = 10 and 18+8 = 26, the smallest integer number INSIDE this interval is 11.
Simplify this question
[tex] \frac{8 - \sqrt{ - 36} }{2} \\ = \frac{8 - \sqrt{ 2 \times \: 2 \times 3 \times - 3} }{2} \\ = \frac{8 -2 \sqrt{ - 9} }{2} \\ = \frac{2(4 - \sqrt{ - 9} )}{2} \\ = 4 - \sqrt{ - 9} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Answer:
Unfortunately, the problem could not be solved because there is a minus in √36. This basically means that this problem has no answer. Remember, if there is a minus in a root system, that basically means that the answer is Un-defined.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
PLEASE HELP!! the polynomial expression x(2x^2+15)(4x^2+5x+3 where x is in inches can be used to model the number of cubic inches of cement that will be needed for a new porch. The cement contractor used 2 for the value of x. Determine the dimensions in inches of the cement needed for the porch. Height(shortest length side) width(medium length side) and length(longest length side)
Answer:
height 2 incheswidth 23 incheslength 29 inchesStep-by-step explanation:
For x=2, the dimensions are ...
height = x = 2 inches
width = 2x² +15 = 2(2²) +15 = 8 +15 = 23 inches
length = 4x² +5x +3 = (4x +5)x +3 = (4·2 +5)2 +3 = 29 inches