Since the probabilities must add up to 1, we have to solve this equation :
1/5 + 1/5 + 1/2 + x = 1
2/5 + 1/2 + x = 1
4 / 10 + 5 / 10 + x = 1
9/10 + x = 1
x = 1 - 9/10
x = 10/10 - 9/10
x = 1/10
So the value of x is 1/10
Option A is correct, the value of x should be 1/10.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
In a valid probability distribution, the sum of all probabilities must be equal to 1.
We know that the given probability distribution is 1/5, 1/5, 1/2, x. Therefore, we can write an equation:
1/5 + 1/5 + 1/2 + x = 1
Simplifying the equation, we get:
2/5 + x = 1/2
Subtract 2/5 from both sides
x=1/2-2/5
x=5-4/10
x=1/10
Hence, option A is correct, the value of x should be 1/10.
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Plz solve. I will give brainliest
Answer:
x = 9x ∈ all real numbersStep-by-step explanation:
1)[tex]\sqrt{x}-3=0\\\\\sqrt{x}=3\qquad\text{add 3 to both sides}\\\\\boxed{x=9}\qquad\text{square both sides}[/tex]
__
2)The expression ...
[tex]\sqrt{|x|+1}[/tex]
is defined for all values of x. The expression makes sense for all real numbers.
_____
Additional comment
The expression in the second question makes sense for all numbers, real or complex. The value of |x| is never negative, so the value under the radical is always positive.
A football coach buys a bottle of water for each child in a football club.
All the bottles of water are the same price, There are 42 boys in the club.
3)
He spends £$2.50 on water for the boys. He spends £35 on water for the girls.
How many girls are there in the football club?
Answer: 28
Step-by-step explanation:
£52.50/£35 = 1.5
Therefore £52.50/ 1.5 =£35
42/ 1.5 = 28
i need help on i ready what is the length of the breathing tube
Answer:
The average size of the tube for an adult male is 8.0, and an adult female is 7.0,
The typical depth of the endotracheal tube is 23 cm for men and 21 cm for women
What does the A stand for in the star problem solving process
Affect
Agree
Add
Act
The answer is D. Act.
STAR stands for Situation, Task, Action, Result.
Answer:
act
Step-by-step explanation:
A stands for act. Act on your plan and work the problem out.
Your above-ground pool has sprung a leak, and you do not have a way to fix it. At 12 noon, the water in the pool is 5 feet deep (in other words, the water level is 5 feet above the ground). You are not sure how quickly the pool level is falling, so you check again after 40 minutes and see that the height of the water level is now feet. You notice that there is a relationship between the time that has passed to the height of the water level in the pool.
Answer:
Step-by-step explanation:
1. The amount of Kelly's paycheck varies directly with the number of hours
she works. Kelly receives $139.80 for 12 hours of work.
(a) Write a direct variation equation that relates the amount of Kelly's paycheck, y, to the number of hours, x,
that Kelly works.
(b) Use the equation to find the amount of Kelly's paycheck when she works 40 hours.
Answer:
Step-by-step explanation:
y = kx ; k = [tex]\frac{y}{x}[/tex]
~~~~~~~~~~
(a). 139.8 = k × 12
k = 139.8 ÷ 12 = 11.65 ⇒ Kelly earns $11.65 per hour
y = 11.65x
(b). y = 11.65 × 40 = 466
Kelly's paycheck when she works 40 hours is $466.00
Find the equation of the straight line passing through the point (3,5) which is perpendicular to the line y=3x+2
Answer:
the desired equation is y = (-1/3)x + 6
Step-by-step explanation:
Let the given line be A: y=3x+2
The slope of line A is m = 3.
The slope of any line B which is perpendicular to line A is the negative reciprocal of the slope of A: m = -(1/3).
The particular perpendicular line that passes through (3, 5) is then
5 = (-1/3)(3) + b, which simplifies to 5 = -1 + b, or b = 6.
Thus, the desired equation is y = (-1/3)x + 6
A Converse Statement is when you turn the statement into a double negative?
A. True
B. False
Answer:
False
Step-by-step explanation:
This is because there is no such thing! A double negative becomes a positive! Plz give brainliest!
Answer:
False if its in double negative.
How many months would it take the bamboo plant shown in the graph to be 66 inches tall
Answer:
Step-by-step explanation:
Choose the equation that represents the graph shown?
The graph shown represents an absolute function.
The equation of the graph is [tex]\mathbf{y = -\frac 12|x|}[/tex]
Considering the straight on the right, we have the following points
[tex]\mathbf{(x,y) = (0,0) (4,-2)}[/tex]
Start by calculating the slope (m)
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 -x_1}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{-2 - 0}{4-0}}[/tex]
[tex]\mathbf{m = \frac{-2 }{4}}[/tex]
Simplify
[tex]\mathbf{m = -\frac{1}{2}}[/tex]
So, the slope of the line is -1/2
The equation is then calculated as:
[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]
This gives
[tex]\mathbf{y = -\frac 12(x -0) + 0}[/tex]
[tex]\mathbf{y = -\frac 12(x)}[/tex]
Represent x as an absolute value
[tex]\mathbf{y = -\frac 12|x|}[/tex]
Hence, the equation of the graph is [tex]\mathbf{y = -\frac 12|x|}[/tex]
Read more about absolute graphs at:
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1. Since his last vet appointment, a cat lost
2 ounces.
Explain the meaning of zero in this situation
Answer: -2
Step-by-step explanation: I think I’m not sure
Mary has 2 1/5 hours before she needs to meet her friend. She needs to take care of 7 chores before then. How much time can she allocate to each chore?
around 19 minutes ^^
(18.85 minutes)
Mary can allocate to each chore around 18.85 minutes.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
It is given that Mary has 2 1/5 hours before she needs to meet her friend. She needs to take care of 7 chores before then.
Hence, we get
2 and 1/5 hours = 132 minutes (120 + 12)
thus, Mary will have 132/7 = 18.85714285714286 minutes for each chore.
Or around 18.85 minutes for each chore
Therefore, she can allocate to each chore around 18.85 minutes.
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Need help with this please
AB = DC
BC = BC
both have an angle of 90°
not only are they congruent, they're also completely identical.
Given f(x) = 5x + 4 , find f(-10)
Answer:
-46
Step-by-step explanation:
5 x -10 + 4 = -50 + 4 = -46
What is the area of this triangle?
Answer:
all side equal is formula of triangle.But i think in our class 7 book is traingle formula is all side equal
What is the estimated quotient of 8 455 divided by 17? *.
Answer:
34.7647058824
Step-by-step explanation:
help algebra 2 please
Step-by-step explanation:
your answer is 1 option
thanks for extraaaaaa points
Knock Knock Whos there leader of the knockdown thats who!
Have a fun time with the points!
Answer: knock knock whos there nobody 2+2 = xyz
Step-by-step explanation:
Answer:
Thanks that was a good joke!
Need help with this
Answer:
huh??
Step-by-step explanation:
solve for x and there is no need for an explanation!
Answer:
x=1.3 or x= 4/3
Step-by-step explanation:
Help ! Find X and others. ANGLES!!!!
Answer:
x = 12°
∠RST = 40°
∠STR = 100°
Step-by-step explanation:
if 5/6 of the 30 motorcycles were new, how many motorcycles were used
Answer:
5 Motorcycles are used
30÷6= 5
5×5= 25
30-24=5
so the answer is 5
Answer:
5 out of the 30 motorcycles are used
Step-by-step explanation:
First, we should look at what we know. We know that there are 30 motorcycles in total. As a fraction, that'd be 30/30. We also know that of that 30, the equivalent of 5/6 are brand new.
Our next step is to figure out how much 5/6 is out of 30. Since we know that in total there 30/30 motorcycles, we need to convert 5/6 to have a denominator of 30. So what times 6 equals 30.
30 ÷ 6 = ? opposite of 6 x ? = 30
5 divide
So now we now that 6 times 5 equals 30. What we do to the denominator we must do to the numerator.
[tex]\frac{5}{6}[/tex] × [tex]\frac{5}{5}[/tex]
[tex]\frac{25}{30}[/tex]
Now we know that 25 of the 30 motorcycles are new and all we need to do is subtract that 25 from the total 30 to get 5. This tells us that 5 of the total motorcycles are used.
I hope this helped :)
Difference between complementary and Supplementary
Complementary angles sum to 90°. Supplementary angles sum to 180°.
Answer:
See below.
Step-by-step explanation:
Complementary: The sum of 2 angles is 90°.
Supplementary: The sum of 2 angles is 180°
4 2/3 + 6 1/5
1 13 /15
10 13/15
13 5/10
Answer:
4+6+ (10/15+3/15):10 13/15
Sam completed the square for the quadratic equation y=12x2−2x+3 in order to determine the minimum value of the equation, as shown.
Step 1: y=12(x2−1x+32)
Step 2: y=12(x2−x+14−14+32)
Step 3: y=12((x−12)2−14+32)
Step 4: y=12((x−12)2+54)
Step 5: y=12(x−12)2+58
What mistake, if any, did Sam make?
In Step 1, she incorrectly factored out 1/2. She should have written y=1/2(x^2−4x+6).
Please help I don't can't figure out the answer
There are 135 people in a sport centre. 73 people use the gym. 59 people use the swimming pool. 31 people use the track 19 people use the gym and the pool. 9 people use the pool and the track 16 people use the gym and the track, 4 people use all three facilities. Given that a randomly selected person uses at least two facilities, what is the probability they use all the facilities?
Answer:
1/9
Step-by-step explanation:
4 people use all three facilities, then
16 - 4 = 12 people use the gym and the track and do not use the pool;
9 - 4 = 5 people use the pool and the track and do not use the gym;
19 - 4 = 15 people use the gym and the pool and do not use the track.
At least two facilities use 4 + 12 + 5 + 15 = 36 people, 4 of them use all three facilities. Thus, the probability that a randomly selected person which uses at least two facilities, uses all the facilities is 4/36
12 ≤ 4n < 28
SOLVE THE COMPOUND INEQUALITY
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
[tex] \boxed{ \boxed{3 \leqslant n < 7}}[/tex]
The equivalent expression is ~
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve ~
[tex]12 \leqslant 4n < 28[/tex]Now divide each term with 4
[tex]12 \div 4 \leqslant 4n \div 4 < 28 \div 4[/tex][tex]3 \leqslant n < 7[/tex][tex] \sf \: 12 ≤ 4n < 28[/tex]
Divide all parts by 4[tex]\sf \longmapsto \frac{12}{4}≤ \frac{4n}{4} < \frac{28}{4} [/tex]
[tex] \sf \longmapsto3≤n<7[/tex]
Result:
[tex]\boxed{ \sf 3 \leqslant n<7}[/tex]
Number line attached10x + 8 = 3(x – 2)
10x + 8 = 3x
Answer:
dfq
Step-by-step explanation:
1.
10x + 8 = 3(x – 2)
10x + 8 = 3x - 6
10x - 3x = -8 -6
7x = -14
x = -14/7
x = -2
2.
10x + 8 = 3x
10x - 3x = -8
7x = - 8
x = -8/7
If 35 men can reap a field in 8 days; in how many days can 20 men reap the same field?
Answer:
87.5 days
Step-by-step explanation:
35/8=4.something
that answer*20=87.5
: Is the relation a function? If so, is it one-to-one or not one-to-one?
Answer:
Linear Function
Step-by-step explanation:
Ok, so this is a function. This is because none of the X's repeat with a different Y. "Every Input has EXACTLY one Output"
BUT: I don't know what a One-to-one is. I would guess it means linear, which means it's a straight line on a graph. If that's the case, then it would be infact a Linear Function.
Answer:
Step-by-step explanation:
honestly, it's most likely a function. I know it's a function, but I don't understand what not one-to-one means, so, I guess it's just a function and nothing else?
