Step-by-step explanation:
Divide the number of events by the number of possible outcomes. This will give us the probability of a single event occurring. In the case of rolling a 3 on a die, the number of events is 1 (there's only a single 3 on each die), and the number of outcomes is 6.
A castle has to be guarded 24 hours a day. Five knights are ordered to split each day's guard duty equally. How long will each knight spend on guard duty in one day? Record your answer in hours as a decimal.
Answer: 4.8 hours
Step-by-step explanation:
Given
The castle must be guarded 24 hr by 5 knights
If duty is split equally among them
No of hours spent by each knight on duty
[tex]\Rightarrow n=\dfrac{24}{5}=4.8\ \text{hours}[/tex]
Therefore, each guard must serve a duty of 4.8 hours
Zach is building a cage for his gerbil. The area of the cage is 42 square inches.
What is the width of the gerbil cage?
Answer:
35
Step-by-step explanation:
% 22 si 66 olan sayının % 30 u kaçtır?
lütfen kağıt üzerinde yapın :-)
Answer is in the file below
tinyurl.com/wpazsebu
4. What is the slope-intercept equation of the
line that goes through the points (1, 5) and
(2,8)?
A. y = 2x - 3
B. y = x + 1
C. y = 3x + 2
D. y =- 1.5x – 2
Answer:
Answer C: y=3x+2 because the y-intercept is positive 2 if you graph it
2g-g+h-1 when g=5 and h=0
Show your work
someone answer the blank please :/
Answer:31
Step-by-step explanation:
Answer:
I could be wrong but I am pretty sure it's 32
Step-by-step explanation:
24 divided by 15 equals 1.6, so I think if you multiply the last number with 1.6 you get your answer.
Find the excluding values for the equations a^3+3a^2-10a/5a^3-20a
Answer:
a+5/5(a+2)
Step-by-step explanation:
sorry it took so long
If QRS is dilated by a scale factor of 6 through the origin, which of the following points represent the coordinates of R'?
A.
(-12,-24)
B.
(12,24)
C.
(-24,-12)
D.
(24,12)
Answer:
C
Step-by-step explanation:
The dilated point R' of the given point will be (-12,-24). The correct option is A.
What is dilation?Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.
Given that If QRS is dilated by a scale factor of 6 through the origin, the coordinate will be calculated as:-
The dilation factor is 6 then multiply the coordinates of R by 6 to calculate the value of dilated coordinate.
( -2 , -4) ⇒ Dilated ( -2 x 6 , -4 x 6 )
( -2 , -4 ) ⇒ Dilated ( -12, -24 )
Therefore, the dilated point R' of the given point will be (-12,-24). The correct option is A.
To know more about dilation follow
https://brainly.com/question/3457976
#SPJ2
Please please please help *URGENT*
Answer:
1 = Communative property of addition
2 = distribution property
3 = Associative property of multiplacation
4 = Communative property of multiplacation
5 = Associative property of addition
Hope this helps! :) Please Ignore my bad spelling
Also, if you think this explanation is good, please mark it brainliest! It would help a lot! Thanks!
A square pyramid is shown. 4 m 6 m 6 m What is the surface area of the pyramid?
Ellie works at a camp . Her age is a multiple of 6 and a multiple of 8 . What is the youngest age Ellie could be ?
Answer:
24
Step-by-step explanation:
Write down 6 and 8 on a piece of paper. Write down all the multiples of 6 (6, 12, 18...) and do the same for 8 (8, 16, 24). Stop at the 12th multiple. (For six it's 72, and for 8 it's 96. ) Go over all the multiples and see if there are any answers that are alike. (Sometimes there isn't any so keep the pattern going.) For this example, some multiples that they share are 24, 58, and 72. The one that is the lowest is 24. Ellie is 24.
the side of the clip board appears to be a right triangle . the leg length are 2 millimeters and 2.1 millimeters and the hypotenuse is 2.9 millimeters. is the thee of the clip a right triangle ?
It is because u can only do pathagreom therom on right triangles.
2*2 + 2.1*2.1
4+4.41=8.41
square root of 8.41 is 2.9 so that confrms the therom which isaversa confirms it is a right triangle.
Given g(x)=-x-2g(x)=−x−2, find g(0)g(0).
Answer:
g(0) = -2
Step-by-step explanation:
Given - g(x) = -x - 2
To find - g(0)
Proof -
We have given the function ,
g(x) = -x - 2
For finding the value of g(0), we just have to put x = 0 in g(x),
We get
g(0) = -0 - 2 = -2
⇒g(0) = -2
please please help !!
Step-by-step explanation:
As the problem said, you need to submit a picture of your own work, but I can help nevertheless.
Blank 1:
[tex]\tan 70=\frac{x}{300}\\x=300\tan70 \approx \boxed{824.24}[/tex]
Blank 2:
[tex]\tan 53=\frac{x}{300}\\x=300\tan53 \approx \boxed{398.11}[/tex]
Blank 3:
[tex]300\tan(70)-300\tan(53)\approx\boxed{426.13}[/tex]
I've been asking this question for 3 days, can someone please help me. I need to do all my math work before I can start ice skating again and all I want is some help
Answer:
Step-by-step explanation:
If two polygons (in this case triangles) are similar, the ratio of their corresponding sides is constant (SSS)
If two polygons have equal corresponding angles, they are similar (AA)
If two polygons have two corresponding similar sides and the corresponding angle in between the sides are equal, the two polygons are similar (SAS)
Using this info, we can decide whether the triangles are similar or not
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I have uploaded #5 and #8
If you graphed this system, what would the solution be?
y=2x
y=−1x−6
Answer:
(-2, -4)
Step-by-step explanation:
[y = 2x, y = -x -6]
Solve by substitution:
-x - 6 = 2x
simplify
3x = -6
divide
x = -2
Plug back in one equation to solve for y coordinate:
y = 2(-2)
y = -4
(-2, -4)
The students of a high school are 51% males. Of the students at this high school 45% of males and 40% of females said they regularly attend concerts.
Answer:
(b) Probability that a student is male and attends concert = 22.95%
(c) Probability that a student is female and does not attend concert = 29.4%
(d) Probability that a student attends concerts = 42.55%
Step-by-step explanation:
P.S - The exact question is -
Given - The population of a high school is 51% male. 45% of the males and 40% of the females attend concerts.
To find - (a) Make a tree diagram based on the information above.
(b) Find the probability that a student is male and attends
concerts.
(c) Find the probability that a student is female and does not
attend concerts.
(d) Find the probability that a student attends concerts.
Proof -
Let the total population of the high school = 100 x
Given that,
The students of a high school are 51% males
⇒Total males in the high school = 51% × 100 x
= [tex]\frac{51}{100}[/tex] × 100 x = 51 x
⇒Total males in the high school = 51 x
⇒Total females in the high school = 100 x - 51 x = 49 x
Now,
Given that,
Of the students at this high school 45% of males and 40% of females said they regularly attend concerts.
⇒Total number of males that attend the concert = 45% × 51 x
= [tex]\frac{45}{100}[/tex] × 51 x = 22.95 x
⇒Total number of males that attend the concert = 22.95 x
And
Total number of males that do not attend the concert = 51 x - 22.95 x
= 28.05 x
⇒Total number of males that do not attend the concert = 28.05 x
Also,
Total number of females that attend the concert = 40% × 49 x
= [tex]\frac{40}{100}[/tex] × 49 x = 19.6 x
⇒Total number of females that attend the concert = 19.6 x
And
Total number of females that do not attend the concert = 49 x - 19.6 x
= 29.4 x
⇒Total number of females that do not attend the concert = 29.4 x
(a)
The tree diagram is as follows :
(b)
Probability that a student is male and attends concert = [tex]\frac{22.95 x}{100 x}[/tex] × 100 %
= 22.95%
⇒Probability that a student is male and attends concert = 22.95%
(c)
Probability that a student is female and does not attend concert = [tex]\frac{29.4x}{100x}[/tex] × 100%
= 29.4%
⇒Probability that a student is female and does not attend concert = 29.4%
(d)
Probability that a student attends concerts = [tex]\frac{22.95x + 19.6x}{100x}[/tex] ×100%
= [tex]\frac{42.55}{100}[/tex] ×100%
= 42.55%
⇒Probability that a student attends concerts = 42.55%
algebraic expression 5a² - 25b²
Answer: = 5 (a-5b)(a+b)
Step-by-step explanation:
= 5a² - 25b²
= 5 (a²-5b²)
= 5 (a-5b)(a+b)
The graph of h is the graph of f(x) = x2 translated 2 units left and 5 units up. What is the vertex form of this function?
A. h(x) = (x + 2)2 + 5
B. h(x) = (x - 2)2 + 5
C. h(x) = (x + 5)2 + 2
D. h(x) = (x + 5)2 - 2
Answer:
A. [tex]h(x) = (x+2)^{2}+5[/tex]
Step-by-step explanation:
First, we need to defined the two transformations required to derive [tex]h(x)[/tex].
Vertical translation
[tex]n(x) = m(x) +k[/tex], [tex]k \in \mathbb{R}[/tex] (1)
Where:
[tex]k > 0[/tex], upwards.
[tex]k < 0[/tex], downwards.
Horizontal translation
[tex]n(x) = g(x+k)[/tex], [tex]k\in \mathbb{R}[/tex] (2)
Where:
[tex]k > 0[/tex], leftwards.
[tex]k < 0[/tex], rightwards.
Let [tex]f(x) = x^{2}[/tex], if [tex]h(x)[/tex] is translated 2 units left and 5 units up, then we have the resulting expression:
[tex]h(x) = (x+2)^{2}+5[/tex] (3)
Hence, correct answer is A.
Simplify the expression.
30 - 7m + 5 + 16m
Answer:
[tex]35 + 9m[/tex]
Step-by-step explanation:
1) Collect like terms.
[tex](30 + 5) + ( - 7m + 16m)[/tex]
2) Simplify.
[tex]35 + 9m[/tex]
Therefor, the answer is 35 + 9m.
Please Help! Solve the equation for x.
1/3x-8= -12
A. x= -12
B. x= -6
C. x= 4
D x= 6
Answer:
A
Step-by-step explanation:
Given
[tex]\frac{1}{3}[/tex] x - 8 = - 12 ( multiply through by 3 to clear the fraction )
x - 24 = - 36 ( add 24 to both sides )
x = - 12 → A
i really need help on this.
Answer:
both are (0,0)
Step-by-step explanation:
Hello There!
When its asking for the vertical intercept its asking " at what points does the equation cross the vertical axis( y axis) so its pretty much asking for the y intercept¨
In the graph shown below the y intercept is 0 so the coordinates of the vertical intercept would be (0,0)
When its asking for the horizontal intercept its asking " at what points does the equation cross the horizontal axis ( x axis ) so its pretty much asking for the x intercept."
In the graph shown below the x intercept is 0 so the coordinates of the horizontal intercept would be (0,0)
HELP PLEASE! What’s the domain and range?
Answer:
Domain → (-∞, -1)∪(-1, ∞)
Range → (-∞, ∞)
Step-by-step explanation:
Given function is,
[tex]\frac{f(x)}{g(x)}=\frac{x^2+2x-5}{2x+2}[/tex]
This function is not defined when the denominator is zero.
2x + 2 = 0
2x = -2
x = -1
Therefore, x = -1 is not in the domain of this function.
And the domain will be,
(-∞, -1)∪(-1, ∞)
For all values of x (except x = -1) we get some output values (value of [tex]\frac{f(x)}{g(x)}[/tex]).
Therefore, range of the function will be (-∞, ∞).
1. x+1 when x=10
2. 5y-8 when y=6
3. 6t-9m when t=5 and m=3
4. 62/2 when x=10
5. 5h3-3j2+20 when h=4 and j=5
Answer:
1
X is equal to 10
10 plus 1 equals 11
2
y is equal to 6
30 minus 8
is equal to 22
3
m equals 3 and t equals 5
30 minus 27
is equal to 3
4 not written properly
5 not written properly
A bag contains 20 pink candies, 8 red candies, and 12
green candies. Without looking, Sarah pulls out a piece of
candy. Which color of candy is least likely to be pulled
out?
Answer:
The red marbles.
Step-by-step explanation:
It is because Red has the least amount of marbles, therefore it is most likely for you to not pull out a red marble.
Please help me! I need this answered fast!
Answer:
3. B
4. D
hope this helps
reflect the figure over the line y=x+2
What is 4x - 18 + 3y?
Answer:
4x + 3y − 18
Step-by-step explanation:
Simply 4x - 18 + 3y = 4x + 3y − 18
Help, I wanna pass this iready lesson or im going to get yelled at.
Answer:
1/10 is the correct answer
Step-by-step explanation:
3/5=6/10
7/10-6/10=1/10
Answer:
1/10 hour
Step-by-step explanation:
7/10
convert 3/5 to 6/10 for same denominator
7/10 - 6/10 = 1/10
Michelle has four large storage chests in her basement. each storage chest has a base of 8 square feet. Three of the storage chests have a height of 2 feet and one storage has a height of 3 feet. What is the total volume, in cubic feet, of the four storage chests?
