Answer:
Yes, the game is fair because Christopher and Janet have an equal probability of winning.
Step-by-step explanation: Christopher - Red marble=8
Janet - blue + green= 5+3= 8
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QUESTION 8
The hospital has allotted 120 days of inservice for every 15 departments. How many days of inservice can each department use?
I
Answer:
in 8 days
Step-by-step explanation:
soln
given,
total days=120
department=15
we know,
120/15
=8
•°•8days are given to each department.
(Kind of urgent!) Using the figure below, find the value of a. Enter your answer as a simplified radical or improper fraction (if necessary)
Answer:
15/4
Step-by-step explanation:
sin60 =z/15
z=15sin60 =(15√3)/2
cos30 =b/z
b = zcos30 = (15√3)/2 * √3/2 = 45/4
a = 15-b = 15-45/4 = 15/4
The value of a is 15/4
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
According to the given figure,
Here is a right triangle
Let, The hypotenuse = 15
perpendicular = z and base = 15 = a + b
⇒ sin60 = perpendicular/hypotenuse = z/15
⇒ z = 15sin60 = (15√3)/2
⇒ cos30 = base/hypotenuse = b/z
⇒ b = zcos30 = (15√3)/2 * √3/2 = 45/4
⇒ a + b = 15
Substitute the value of b in the above equation,
⇒ a = 15-b = 15-45/4 = 15/4
Hence, the value of a is 15/4.
Learn more about the right triangle here:
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Mr jones rolls a 6 sided cube mumbered 1,2,3,4,5,6, what is the probability he rolls a three.
Answer:1.5
Step-by-step explanation:
calculate the effective yearly rate if an investment offers a nominal interest rate of 9.5% compounded quarterly
Answer:
9.725%
Step-by-step explanation:
(1.0475)^2 =1.09725
one year 2 periods 4.75% per period
Change the word phrase to an algebraic expression. Use x as the variable to represent the number.
16 subtracted from a number
Let x = the number.
16 subtracted from a number can be written as…
Answer:
I think the answer is
x-16
since 16 is subtracted from x.
I hope this helps
100 x 20 + 30 help me
[tex]\boxed{\underline{\bf \: Answer}}[/tex]
[tex] \sf100 \times 20 + 30[/tex]
First multiply 100 & 20 together.
[tex] \sf= 2000 + 30[/tex]
Now add 2000 & 30. You'll get :-
[tex]= \boxed{ \bf 2030}[/tex]
____
Hope it helps.
RainbowSalt2222
[tex]\\ \rm\longmapsto 100\times 20+30[/tex]
[tex]\\ \rm\longmapsto (100\times 20)+30[/tex]
Solve bracket[tex]\\ \rm\longmapsto 2000+30[/tex]
[tex]\\ \rm\longmapsto 2030[/tex]
Solve for
x. Round to the nearest tenth of a degree, if necessary.
Answer:
[tex]\displaystyle x \approx 30.8[/tex]
Step-by-step explanation:
Note that the figure is a right triangle, and that we are given the length of the side adjacent to x and the hypotenuse of the triangle.
Therefore, we can use the cosine ratio. Recall that:
[tex]\displaystyle \cos \theta = \frac{\text{adjacent}}{\text{hypotenuse}}[/tex]
The adjacent side is 8.5 and the hypotenuse is 9.9. Therefore:
[tex]\displaystyle \cos x = \frac{8.5}{9.9}[/tex]
We can take the inverse cosine of both sides:
[tex]\displaystyle x = \cos^{-1} \frac{8.5}{9.9}[/tex]
Use a calculator. Hence:
[tex]\displaystyle x \approx 30.8[/tex]
Can someone help me out
Answer:
π×64×4=804.25
Step-by-step explanation:
Formula of cylinder is π×square of radius×height
Answer:
803.8
Step-by-step explanation:
it's 3.14×8×8×4 which would give you 803.84 and then you round which would give you 803.8
PLEASE HELP
-6/5k = 12
Show your work in details if you can, I have a hard time understanding this.
[tex] \begin{cases}\large\bf{\green{ \implies}} \tt \: \frac{6}{5} \: k \: = \: 12 \\ \\ \large\bf{\green{ \implies}} \tt \: \frac{6k}{5} \: = \: 12 \\ \\ \large\bf{\green{ \implies}} \tt \: 6k \: = \: 12 \: \times \: 5 \\ \\ \large\bf{\green{ \implies}} \tt \: 6k \: = \: 60 \\ \\ \large\bf{\green{ \implies}} \tt \: k \: = \: \cancel\frac{60}{6} \\ \\ \large\bf{\green{ \implies}} \tt \: k \: = \: 10 \end{cases}[/tex]
Answer:
k = -10
Step-by-step explanation:
In order to solve for k, we need to isolate the variable. This means we need k to be on one side of the equation by itself.
We are given:
[tex]-\frac{6}{5}k=12[/tex]
The first thing I would do is multiply both sides of the equation by 5:
[tex](5)-\frac{6}{5}k=12(5)[/tex]
This leaves us with:
[tex]-6k=60[/tex]
Now, in order to get k by itself, we need to divide by -6 on both sides:
[tex]\frac{-6k}{-6}=\frac{60}{-6}[/tex]
Therefore:
[tex]k=-10[/tex]
Find the missing side length. Leave your answers radical in simplest form. PLEASE HURRY
Answer:
the answers for x and y are both 12
a new automobile cause 11300 which is 100 more than 25 times a certain number what is the number
Answer:
25x + 100 = 11300
25x = 11200
448 = x
Step-by-step explanation:
the certain number is 448
Find the missing side lengths leave your answer as a racials simplest form
Answer:
x = 20
y = 10
Answered by Gauthmat
what are two examples of acute angle
Answer:
Ex. 45° & 89°
Step-by-step explanation:
Acute angles are angles less than 90°. Therefore, any angle less than 90° will do.
Answer:
acute angles are angles which are less than 90° .
For example . A angle with 50°.
more examples of acute angels are : 78° , 60° , 45° , 30 ° .
hope this helps you
mrk me braniliest
Use the graph of ƒ to find ƒ(2).
0.5
–8
–0.5
Does not exist
Answer:
Step-by-step explanation:
When you're looking to find things like f(2) and f(4) and f(-3000), etc. the number inside the parenthesis is an x value. Look to the graph, find that x value, and locate the y value that corresponds to it. f(2) = -8. f(-1) = 4. f(1) = -4. See?
Answer:
does not exist
Step-by-step explanation:
that what i put hope it helps
a shopkeeper gains #1.75 by selling an article for #6.25. what is the percentage gain.
Answer:
≈ 38.89%Step-by-step explanation:
The cost is:
6.25 - 1.75 = 4.50Percentage gain:
1.75/4.50*100% ≈ 38.89%After the release of radioactive material into the atmosphere from a nuclear power plant at Chernobyl (Ukraine) in 1986, the hay in Austria was contaminated by iodine 131 (half-life 8 days). If it is safe to feed the hay to cows when 10% of the iodine 131 remains, how long did the farmers need to wait to use this hay?
Given the data provided, it follows that the farmers must wait for 26 days before feeding the hay to cows.
What is half life?The term half life is defined as the time taken for half of the original amount of the radioactive sample to remain.
Now we know that;
half life = 8 days
Original amount = No
Amount left after t days = 0.1No
time taken = t days
Hence;
0.693/8 = 2.303/t log (No/0.1No)
0.087 = 2.303/t
t = 2.303/0.087
t = 26 days
Learn more about radioactivity: https://brainly.com/question/14356798
The gcf of two numbers is 3 and their lcm is 180, if one of the numbers is 45 then found the second number
Answer:
answer is 12
Step-by-step explanation:
gcf = 3
lcm = 180
let 45 be y
let unknown be X
to get x
X=( lcm * gcf) / y
X=(180*3)/45
X=(540)/45
X=12
the other number is 12
What is 3x+8x=13+31?
Answer:
x = 4
Step-by-step explanation:
3x+8x=13+31
Combine like terms
11x =44
Divide by 11
11x/11 = 44/11
x = 4
The answer you are looking for is x=4.
Solution:
3x+8x=13+31
Combining and adding similar terms,
11x=44
Dividing both sides by 11,
So, therefore,
The final answer is x=4.
Use the graph to determine the input values that correspond with f(x) = 1.
Answer:
[tex]x = -7[/tex] and [tex]x = 2[/tex]
Step-by-step explanation:
Given
See attachment for graph
Required
Find x, for [tex]f(x)= 1[/tex]
From the graph, we have the following readings
[tex]f(x)= 1[/tex] when:
[tex]x = 2[/tex] and [tex]x = -7[/tex]
Hence, (d) is correct
For what values are 2x^2=10x
[tex]\\ \sf\longmapsto 2x^2=10x[/tex]
Take to to right[tex]\\ \sf\longmapsto x^2=\dfrac{10x}{2}[/tex]
[tex]\\ \sf\longmapsto x^2=5x[/tex]
Cancel a x from both sides[tex]\\ \sf\longmapsto x=5[/tex]
Đại biểu ĐBTQ lần thứ VIII (1996) của Đảng, xác định “phát huy nguồn lực con người là yếu tố cơ bản cho sự phát triển nhanh và bền vững trong quá trình CNH,HĐH đất nước”, anh/chị hãy phân tích quan điểm này và liên hệ thực tiễn Việt Nam hiện nay?
Piecewise functions alg1
Answer:
C. 0
Step-by-step explanation:
Since we are finding f(-4), we use the first function since -4 is less than -2.
f(-4) = (-4) + 4 = 0
Therefore, the answer is C.
The total number of branches in a tree diagram will be which of the following values?
the probability of an event occurring
the denominator of a probability
the numerator of a probability
Answer:
The total number of branches = total possibilities = the denominator of a probability.
So the second choice is correct.
Let me know if this helps!
Answer:
Step-by-step explanation: answer B (the denominator of a probability)
What is the area of the trapezoid?
Answer:
A=a+b
2
Step-by-step explanation:
To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.
In GeoGebra, display the slope of AB and the slope of the perpendicular line passing through C. Use this to verify your responses in parts B and C. Then move points A, B, and C on the grid to several different locations, and record the slopes of the two lines and the coordinates of A, B, and C.
Answer:
plato screenshot!
Step-by-step explanation:
I don't personally know *how* to find the answers, but here's the screenshot of the suggested answer on Plato
Answer:
A B Slope of C Slope of Line Through C
(−5,4) (−1,−1) −1.25 (1,2) 0.8
(−5,4) (−3, 5) 0.5 (−2, 1) −2
(−4, 1) (−3, 5) 4 (−2, −2) −0.25
(−5, −2) (−1, 1) 0.75 (−4, 3) −1.33
(−5, −2) (1, −1) 0.17 (−3, 1) −6
Step-by-step explanation:
that way you can copy and paste each one but Plato
a number t is less than 7
Answer:
6 or 5 or 4...........
Step-by-step explanation:
Answer:
x=N :x<7
Step-by-step explanation:
123456
hope it's helpful
in a survey survey of 1200 students who have passed SEE 150 like to admit in science Faculty 600 in humanity first and 240 like to admit either of faculties and the rest were found not to be admitted in both faculties
Step-by-step explanation:
here is your answer it may help you
There are 700 don't like to admit in both faculties.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
In a survey, survey of 1200 students who have passed SEE 150 like to admit in science Faculty 600 in humanity first and 240 like to admit either of faculties and the rest were found not to be admitted in both faculties
Hence, not to be admit in any faculty = N
Science + Humanity - Either + None = 200
=> 150 + 600 - 240 + N = 1200
=> 750 - 240 + N = 1200
=> N = 700
Hence, 700 don't like to admit in both faculties.
Learn more about the addition visit:
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What is the probability of rolling a 2 and 3 with 2 die
Help! Please? Dont understand
What is 3.24 ( 4 repeating) as a fraction?
Answer:
81/25
Step-by-step explanation:
change 3.24 into faction
324 over 100 because there are two decimal points .
simplfy into the smallest fraction
the answer is 81 over 25