Answer: v = yx/-w + u
Step-by-step explanation:
cancel -w by dividing and cancel u by dividing
On a baseball team, there are infielders and outfielders. Some players are great hitters, and some players are not great hitters.
Let I = the event that a player in an infielder.
Let O = the event that a player is an outfielder.
Let H = the event that a player is a great hitter.
Which is the correct symbol for the probability that a player is an infielder or is not a great hitter?
a. P(I|¯H)
b. P(¯H|I).
c. P(I or ¯H).
d. P(I and ¯H).
Answer: c. [tex]P(I \text{ or }\overline{H})[/tex]
Step-by-step explanation:
Notation to show "not an event E" : [tex]\overline{E}[/tex]
Given: I = the event that a player in an infielder.
H = the event that a player is a great hitter.
= the event that a player is not a great hitter.
The correct symbol for the probability that a player is an infielder or is not a great hitter : [tex]P(I \text{ or }\overline{H})[/tex]
hence, the correct option is c. [tex]P(I \text{ or }\overline{H})[/tex]
Question 9 20% of a particular brand of light bulbs fail in one year. What is the probability that three bulbs out of a random collection of 8 bulbs fail in one year
Answer:
The correct answer is 0.15
Step-by-step explanation:
According to the given scenario, the probability is as follows:
X[tex]\sim[/tex] Bin (n,p)
Here
n = 8
p = 0.20 or 20%
Now this is a binomial probability distribution
[tex]P(X) = ^nC_x \times p^x \tmes (1 - p)^{n-x}\\\\P(3) = ^8C_3 \tims 0.20^3 \times (1 - 0.20)^5[/tex]
= 0.15
Hence, the correct answer is 0.15
Identify the expressions for which limits exist.
The first and last expressions are identified as a limit that exists.
What is a limit?'In Mathematics, a limit is defined as a value that a function approaches the output for the given input values.'
According to the given problem,
For expression 1,
[tex]\lim_{n \to4}\frac{x^{2}-x-12 }{2-x}[/tex]
⇒ [tex]\lim_{n \to4} \frac{x^{2}-4x+3x-12 }{4-x}[/tex]
⇒ [tex]\lim_{n \to4}\frac{-x(4-x)-3(4-x)}{4-x}[/tex]
⇒ [tex]\lim_{n \to4}\frac{(4-x)(-x-3)}{4-x}[/tex]
⇒ [tex]\lim_{n \to4 }(-x-3)[/tex]
Now, we put the value of x as 4
⇒ - 4 - 3
= -7
Therefore, the limit exists.
For the last expression,
[tex]\lim_{x \to 2} \frac{x^{2}+3x-10 }{x^{2} -4}[/tex]
⇒ [tex]\lim_{x \to 2} \frac{x^{2}+5x - 2x-10 }{(x+4)(x-4)}[/tex]
⇒ [tex]\lim_{x \to2} \frac{x(x+5) -2(x+5)}{(x+4)(x-4)}[/tex]
⇒ [tex]\lim_{n \to 2} \frac{(x+5)(x-2)}{(x+4)(x-4)}[/tex]
Now, putting the value of x = 2 in the expression,
⇒ (2+5)(2-2) / (2+4)(2-4)
⇒ 7*0 / 6*(-2)
= 0
Therefore, the limit exists.
For the other expressions, we cannot factorize the numerator or the denominator to cancel out the denominator because of which if we put the values of x directly into the denominator without cancelling it out, the denominator would be zero, which means infinity because zero in the denominator of a fraction means infinity or undefined or does not exist.
Hence, we can conclude that expressions 1 and 6 are limits that exist.
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Help me out please I’m kinda struggling with this
Answer:
Think of a =1 and b=3
All three choices are false
Step-by-step explanation:
Answer:
Step-by-step explanation:
a is less than b in all the cases... if a or b were below zero... it might make a difference.. but b/c they are both positive.. the abs signs make no difference
all the answers are false
1 + 4.25n + 32p – 3 + (–2p) + 54n=
Answer:
58.25n+30p-2
Step-by-step explanation:
Answer: I got 233n + 120p - 8
———————————————
4
Step-by-step explanation:
Instructed to give 300mg the medication is supplied 200mg 5 ml how much do you give
Answer:
200mg is in 5 ml. So how much is in 1 ml? 200÷5=40mg per ml. 300÷40=7.5ml
I need help finding the m
need the answer thanks!
Answer:
The sum does not exist, but if you are in a senior math class, it could be - infinity.
Step-by-step explanation:
If the sum does not have an endpoint (and it looks like it does not), then the sum really does not exist.
Consider this question.
Does the sum stop at 0 as in
50 + 40 + 32 + 24 + 16 + 8 + 0
But why not - 8 or - 16 or ...
So it is not that the sum does not exit. It is that we do not know where that stop is. Depending on your grade level, you could answer - infinity, but I doubt that is the expected answer.
Owen earns $27,980 per year in take-home pay. What is the most money a
housing expert would advise him to spend on a monthly mortgage payment?
O A. $2798.00
B. $582.92
C. $279.80
O D. $466.33
y = a(b), a represents
Answer:
The equations are x=a and y=b.
The graph of x=a is a line parallel to y-axis and y=b is a line parallel to x-axis.
∴ the angle between them is 90o, i.e. they intersect.
So, the equations are consistent.
Now solving simultaneously, the solution is (a,b).
So, the point of intersection is (a,b).
Hence, option D is correct.
When beginning a new job, which form does an employee fill out to establish tax withholding from a paycheck? A. Form W-4 B. Form W-2 C. Form 1040 D. Form 1099
Answer:
Form W-4
Step-by-step explanation:
Got a 100 on the test :)
The correct form which does an employee fill out to establish tax withholding from a paycheck is,
⇒ Form W - 4
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
To find for beginning a new job, which form does an employee fill out to establish tax withholding from a paycheck.
We know that;
Form W-4, Employee's Withholding Certificate, is generally completed at the start of any new job.
This form tells your employer how much federal income tax withholding to keep from each paycheck.
Hence, The correct form which does an employee fill out to establish tax withholding from a paycheck is,
⇒ Form W - 4
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A researcher claims that an ancient scroll originated from Greek scholars in about 500 BCE. A measure of its carbon-14 decay rate gives a value that is 89%% of that found in living organisms. How old is the scroll
Answer:
[tex]963.34\ \text{years}[/tex]
Step-by-step explanation:
[tex]t_{1/2}[/tex] = Half life of carbon = 5730 years
[tex]\dfrac{N}{N_0}[/tex] = Decay rate = [tex]89\%=\dfrac{89}{100}[/tex]
Duration of time passed is given by
[tex]t=t_{1/2}\dfrac{\ln\dfrac{N}{N_0}}{\ln\dfrac{1}{2}}\\\Rightarrow t=5730\times\dfrac{\ln\dfrac{89}{100}}{\ln\dfrac{1}{2}}\\\Rightarrow t=963.34\ \text{years}[/tex]
The scroll is [tex]963.34\ \text{years}[/tex] old.
Evaluate ab – 0.5b when a = 1 and b = 5.
Answer:
2.5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
ab - 0.5b
a = 1
b = 5
Step 2: Evaluate
Substitute: 1(5) - 0.5(5)Multiply: 5 - 2.5Subtract: 2.5What is the inverse of the function f(x) = 2x - 10?
Answer:
f⁻¹(x) = (x + 10)/2
General Formulas and Concepts:
Algebra I
Equality PropertiesInverse FunctionsStep-by-step explanation:
Step 1: Define
f(x) = 2x - 10
Step 2: Rewrite
Redefine: y = 2x - 10Swap x/y: x = 2y - 10Step 3: Find Inverse
Solve for the new y.
Add 10 to both sides: x + 10 = 2yDivide 2 on both sides: (x + 10)/2 = yRewrite: y = (x + 10)/2Redefine: f⁻¹(x) = (x + 10)/2Answer:
[tex]let \: the \: {f}^{ - 1}(x) \: be \: m \\ m = \frac{1}{2x - 10} \\ m(2x - 10) = 1 \\ 2x - 10 = \frac{1}{m} \\ x = \frac{1}{2m} + 5 \\ therefore \\ {f}^{ - 1} (x) = \frac{1}{2x} + 5[/tex]
A bag contains red marbles and blue marbles. If two marbles are chosen at random without replacement, the probability that both marbles are red is , and the probability that both marbles are blue is also . How many marbles are in the bag?
Answer:
So, a + b = 3 + 3 = 6
Hence,
There will be 6 marbles in the bag, 3 red and 3 blue.
Step-by-step explanation:
In this question probabilities are not given which should be given in order to calculate the number of marbles in the bag.
So, let's assume the probability that both marbles are red = 0.5
And probability that both marbles are blue = 0.5
Total Probability = 1
Furthermore, Let's suppose the bag contains
a number of red marbles and b number of blue marbles.
This problem includes the concepts of combination.
So,
[tex]\frac{_{2} C^{a} }{_{2} C^{a+b} }[/tex] = 0.5 Equation 1
[tex]\frac{_{2} C^{b} }{_{2} C^{a+b} }[/tex] = 0.5 Equation 2
Dividing Equation 1 and equation 2 we will get
[tex]\frac{_{2} C^{a} }{_{2} C^{b} }[/tex] = 1
It means, we can write:
[tex]_{2} C^{a} = _{2}C^{b}[/tex]
Hence, we can conclude that:
a = b
Now, from equation 1, we can write:
[tex]\frac{_{2} C^{a} }{_{2} C^{2a} }[/tex] = 0.5
Breaking down the combinations, we will get:
[tex]\frac{\frac{a!}{2! (a-2)!} }{\frac{2a!}{2! (2a - 2)!} }[/tex] = 0.5
[tex]\frac{a ( a-1)}{2a (2a-1)} = \frac{1}{5}[/tex]
(a-1)5 = 4a - 2
5a - 5 = 4a - 2
5a -4a = 5-2
a = 3
As, we know, a = b
So, a + b = 3 + 3 = 6
Hence,
There will be 6 marbles in the bag, 3 red and 3 blue.
Multiply. Write your answer as a fraction in simplest form.
Answer: 9/11
Step-by-step explanation:
Answer:
9/11
Step-by-step explanation:
3/22 * 6/1= 18/22
18/22 divided by 2 = 9/11
You are on vacation and want to buy a pair of sunglasses for $10 or less. You find a pair with a price tag
of $10. The cashier says the total cost will be $10.45.
$10.45
$10.00
What do you notice?
What do you wonder?
The price of sunglasses is greater original price and 0.45 is tax amount.
What is Tax?A tax is a mandatory fee or financial charge that a government imposes on a person or a business in order to raise money for public projects like building the greatest infrastructure and services.
Taxes are required financial contributions imposed by a government body, whether local, regional, or federal, on people or businesses. Tax revenues are used to fund a variety of government initiatives, such as Social Security and Medicare as well as public infrastructure and services like roads and schools.
Given:
Original price of sunglasses = $10.
Price according to cashier= $10.45
So, the price of sunglasses is greater original price.
and, the difference both price
= 10.45 - 10
= 0.45 is tax amount.
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Imani is training for a half marathon. The graph shows her distance during a 60-minute practice run.
can you help me with this plz
=======================================================
Explanation:
First we need to find the slope of this given line.
The two points on here are (0,-3) and (3,0)
Apply the slope formula
m = (y2-y1)/(x2 - x1)
m = (0-(-3))/(3-0)
m = (0+3)/(3-0)
m = 3/3
m = 1
The slope of the given line is 1. The negative reciprocal of this is -1, which is the perpendicular slope.
Side Note: Any two perpendicular lines always have their slope multiply to -1, as long as neither line is vertical.
Answer:
perpendicular lines have an inverse slope and place a negative sign on it too so our give line is as below
Step-by-step explanation:
P1 = (0, -3) in the form ( x1, y1)
P2 = (3 , 0 ) in the form (x2, y2)
m= slope
m = y2-y1 / x2 - x1
m = 0-(-3) / 3 - 0
m = 3 / 3
m = 1
since our slope of the given line is 1 then a perpendicular line will have -1
every line perpendicular to the given line has a slope of -1
Riley wants to make 100 ml of 25% saline solution but only has access to 12% and 38% saline mixtures.
To make 100 ml of 25% saline solution, Riley will need 50 ml = 12% saline mixture and 50 ml= 38% saline mixture.
Given,
We have 12% and 38% of saline mixtures.
We need to find the amount in ml from each saline mixture which would give us 100 ml of 25%.
What are the methods to solve a system of linear equations?
There are a number of methods but the most and easiest used method is the substitution method and the elimination method.
We can make two linear equations from the given statements.
Let x = amount from 12% saline mixture and y = amount from 38% saline mixture.
Now we need to make 100 ml of 25% saline.
so,
x + y = 100.
So we have two equations.
x + y = 100..............(1)
12% of x + 38% of y = 100 x 25%
0.12x + 0.38 = 25 ...............(2)
Using the substitution method we have,
x = 100 - y
Putting x = 100 - y in {2}
0.12 ( 100 - y ) + 0.38y
= 2512 - 0.12y + 0.38y
= 250.38y - 0.12y
= 25 - 120.26y = 13y
= 13 / 0.26y = 50.
Putting y = 50 in (1)
x + y = 100x
100 -50x = 50.
So Riley will need 50 ml = 12% saline mixture and 50ml = 38% saline mixture to make 100 ml of 25% saline solution.
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can you help me with this question please
A. 48
B. 56
C. 63
D. 102
Answer: 63 cupcakes
Step-by-step explanation:
1. Find the amount it took to bake 3 cakes:
3*30=90 minutes
2. Subtract 90 minutes from total minutes(12 hours):
720 mins-90 mins=630 mins
3. Find how many cupcakes you can make in 630 mins:
630/10=63
Solved
Have a nice day :D
Is there enough information to prove that the triangles are congruent?
If yes, provide the correct Triangle Congruence Postulate or Theorem and a
congruence statement,
If no, justify your answer.
Answer:
In triangle ABC and triangle CDA
AB=CD(given)
BC=DA(given)
AC=AC(common)
Thus triangle ABC and triangle CDA are congruent by SSS rule
Answer:
YesStep-by-step explanation:
Given:
AB = CDAD = BCAC = ACThree congruent sides, two given and one shared
Side-side-side postulate SSS
Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the height of a man with a z-score of 0.2 (to 2 decimal places)
Answer:
69.04
Step-by-step explanation:
Given that:
Mean (m) = 69.0
Standard deviation (s) = 2.8
Zscore = 0.2
Find the corresponding height (x) ;
Using the relation :
Zscore = (x - m) / s
0.2 = (x - 69.0) / 0.2
0.04 = x - 69.0
0.04 + 69.0 = x
69.04 = x
Hence, the height of a man with a Zscore of 0.2 is 69.04
What is the constant of proportionality between y and x in the graph
Answer:
5.1
Step-by-step explanation:
Help Please Help Please Help
Answer:
0.7 inches/day
Step-by-step explanation:
There are 3 counties, but the only one we care about is Broward County (because it only asks for the rainfall there), so we can disregard the other two. Next, we need to find the average over 5 days, and we can find that by doing (3.5)/5 = 0.7
The coordinate grid below shows the graph of supply and
demand functions for the sales of wooden chairs. For the
functions, x represents the number of chairs, in hundreds,
and y represents the price of each chair, in dollars.
The equilibrium point for the functions can be found by
locating the point where the two functions are equal. Which
of these appears to be the number of chairs, in hundreds,
that must be sold to achieve equilibrium?
20
35
40
90
Answer:
A. 20
Step-by-step explanation:
The two functions are equal at the point where the line of both function intercept. At this point, equilibrium is achieved.
The number chairs demanded and the number of chairs supplied are equal at this point.
Both lines intersect at x = 20. This means 20 (in hundreds) chairs must be sold for equilibrium to be achieved.
HURRY PLS ILL GIVE THE FIRST BRAINLYEST Isabella’s mom takes her and two other friends mini-golfing. The table below shows how much different things cost at the mini-golf park. Price Sheet Item Cost Adult Game $7.00 Child Game $3.50 Pirate Hat $17.25 10 Arcade Tokens $4.00 Isabella’s mom purchases 1 adult game, 6 child games, a pirate hat, and 30 arcade tokens. She has a coupon for StartFraction 1 over 10 EndFraction off the total bill. How much did Isabella’s mom spend at the mini-golf park? $31.75 $44.25 $51.53 $57.25
Answer:
yea its C
Step-by-step explanation:
he is right.
Answer:
c
Step-by-step explanation:
Please help, and explain step by step, thanks!
Both attachments are part of the same problem
Answer:
Answer: B San Francisco
Step-by-step explanation:
It can be read that Geneva is 12°C colder than Nikki's hometown. It can be seen in the table that Geneva is at -3°C.
This means that Nikki's hometown is 12°C hotter than Geneva, thus:
Temperature of Nikki's hometown = -3°C + 12°C = 9°C.
The only city with a temperature of 9°C is San Francisco.
Answer: B San Francisco
A leak springs from an oil tanker in the ocean, spreading oil from the boat in a circle. If the oil patch gets 5 inches wider a minute, how quickly is the area of the oil spill increasing when the patch is 20 feet wide
Answer:
150π in^2/min.
Step-by-step explanation:
Area of circle A = πD^2/4
where D is the diameter of the circle.
now, taking differentiation w.r.t. to time t we get
dA/dt = π/4 ×2D×dD/dt
given dD/dt = 5in/min
therefore, dA/dt = π/4×2×5×(20×12)
=π/4×600
=150π in^2/min.
Answer:
600π in^2/min
I GIVEEEE BRAINLILSTER
Answer:
B i think it is
Step-by-step explanation:
Answer:
Its is B
Step-by-step explanation:
There are 24 snake. the ratio is 3 frogs fro every 4 snakes. 24 divided by 4 is 6. 3 x 6 is 18. 18 + 24 is 42.