Answer:
a
[tex]P(X < 24 )= 21.186\% [/tex]
b
[tex]x = 19.78 \ months[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 26 \ months[/tex]
The standard deviation is [tex]\sigma = 4 \ months[/tex]
Generally 2 year is equal to 24 months
Generally the percentage of total production will the company expect to replace is mathematically represented as
[tex]P(X < 24 )= P(\frac{X - \mu }{ \sigma} < \frac{24 - 26}{4} )[/tex]
Generally [tex]\frac{X - \mu}{\sigma } =Z (The \ standardized \ value \ of \ X )[/tex]
[tex]P(X < 24 )= P(Z < -0.8 )[/tex]
Generally from the z-table
[tex]P(Z < -0.8) = 0.21186[/tex]
So
[tex]P(X < 24 )= 0.21186[/tex]
Converting to percentage
[tex]P(X < 24 )= 0.21186 * 100[/tex]
=> [tex]P(X < 24 )= 21.186\% [/tex]
Generally the duration that should be the guarantee period if Accrotime does not want to make refunds on more than 6% is mathematically evaluated as
[tex]P(X < x) = P(\frac{X - \mu }{\sigma} < \frac{x - 26}{4} )= 0.06[/tex]
=> [tex]P(X < x) = P(Z < \frac{x - 26}{4} )= 0.06[/tex]
From the normal distribution table the z-score for 0.06 at the lower tail is
[tex]z = -1.555[/tex]
So
[tex]\frac{x - 26}{4} = -1.555[/tex]
=> [tex]x = 19.78 \ months[/tex]
The cafeteria staff at Bryan County Middle School served 125 sixth graders on the first day of school. Out of the 125 students, 102 of them chose to drink chocolate milk. What decimal represents the fraction of students who did NOT choose to drink chocolate milk?
Answer:
[tex]Fraction = \frac{23}{125}[/tex]
Step-by-step explanation:
Given
[tex]Total = 125[/tex]
[tex]Chocolate = 102[/tex]
Required
Determine fraction who do not drink chocolate
First, we need to determine the number of those who do not drink chocolate
[tex]No\ Chocolate = 125 - 102[/tex]
[tex]No\ Chocolate = 23[/tex]
Their fraction is calculated as thus
[tex]Fraction = \frac{No\ Chocolate}{Total}[/tex]
[tex]Fraction = \frac{23}{125}[/tex]
Before beginning voice lessons, Bryan already knew how to sing 146 pieces, and he expects to learn 2 new pieces during each week of lessons. How many weeks of lessons will Bryan need before he will be able to sing a total of 300 pieces? Write and Solve an equation to find the answer.
Answer:
77 weeks
Step-by-step explanation:
Let the number of weeks be represented as x
The equation for the above question is given as:
146 + 2(x) = 300 pieces
146 + 2x = 300
2x = 300 - 146
2x = 154
x = 154/2
x = 77
Bryan would be needing 77 weeks of lessons
HELPPPP ASAPPPP New visitors to a certain website have a 0.10 probability of creating an account on their first visit. Let V be the number of new visitors who visit the site until the first one of them creates an account. Assume that each visitor's decision to create an account is independent.
Find the probability that the 6th new visitor is the first to create an account.
Round your answer to the nearest thousandth.
Answer:
0.07
Step-by-step explanation:
The probability that the 6th new visitor is the first to create an account is approximately 0.059.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
The probability of success (creating an account) on any given trial is p = 0.10, and the probability of failure (not creating an account) is q = 1 - p = 0.90.
The probability that the first success occurs on the 6th trial is then given by:
P(V = 6) = (q⁵) * p
where q⁵ is the probability of having 5 failures in a row (i.e., the first 5 visitors not creating an account), and p is the probability of the 6th visitor creating an account.
Plugging in the values,
P(V = 6) = (0.90⁵) * 0.10 = 0.059049
Rounding to the nearest thousandth,
P(V = 6) ≈ 0.059
Therefore, the probability that the 6th new visitor is the first to create an account is approximately 0.059.
Learn more about probability here:
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4x - 5y = 10 solve for y=mx+b
is 4.23x 10 exponent negative 5 greater than 1 or less than 1. explain how you know
Answer:
less than 1
Step-by-step explanation:
I know this because since it is a negative exponent you go backwards.
2. You see a TV that is normally $350 is now on
sale for 45% off. How much of a discount will you
get to save?
Answer:
You will save $157.50
Step-by-step explanation:
Multiply 350 by 0.45
This gets you 45% of 350
I need help with this asap
Answer:
3\sqrt{3}
Step-by-step explanation:
look this up and it will give you the answer
pls mark brainliest
Answer:
The sqrt of 3 is an irrational number.
The sqrt of 9 is a rational number.
Step-by-step explanation:
Which number line shows the solution to the inequality –2(3x – 1) < 8? A. Number lines from minus five to five by increament of one from left to right and each tick mark is labeled. Shaded part from minus infinity to open circle at minus one B. Number lines from minus five by increament of one from left to right and each tick mark is labeled. Shaded part from open circle at minus one to infinity C. Number lines from minus five by increament of one from left to right and each tick mark is labeled. Shaded part from minus infinity to open circle at two D. Number lines from minus five to five by increament of one from left to right and each tick mark is labeled. Shaded part from open circle at two to infinity
Answer:
The correct option is B.
Step-by-step explanation:
The inequality is: -2(3x - 1) < 8.
Solve for x as follows:
-2(3x - 1) < 8
-6x + 2 < 8
-6x < 6
-x < 1
x > -1
The solution for x is in the interval (-1, ∞].
The number line will be:
B. Number lines from minus five by increment of one from left to right and each tick mark is labeled. Shaded part from open circle at minus one to infinity
The total amount of Keira's cell phone bill, b, varies directly with the number of text messages she sends, m. Which of the following equations best models the amount of money Keira must pay for her cell phone bill?
Please Help! Will mark brainliest!
Answer:<EBA=103
Step-by-step explanation:
72+31=103
Answer:
[tex]\boxed {\tt C. \ m \angle EBA=103}[/tex]
Step-by-step explanation:
∠EBA is made up of 2 angles: ∠ABC and ∠EBC
If we want to find the measure of ∠EBA, we should add the measure of ∠ABC and ∠EBC.
m∠EBA= m∠ABC+m∠EBC
The measure of angle ABC is 72. The measure of angle EBC is 31. (m∠ABC=72 and m∠EBC=31)
m∠EBA= 72 + 31
Add.
m∠EBA=103
The measure of angle EBA is 103 and choice C is correct.
(URGENT!! PLS HELP) The color of paint used to paint a race car includes a mixture of yellow and green paint. Scotty wants to lighten the color by increasing the amount of yellow paint 30%. If a new mixture contains 3.9 liters of yellow paint, how many liters of yellow paint did he use in the previous mixture?
Answer:
3 litersStep-by-step explanation:
Let the initial amount of yellow paint be x
Then we have x increased by 30% equals 3.9 liters:
x + 0.3x = 3.91.3x = 3.9x = 3.9/1.3x = 3 litersSolve the equation 6(2x + 4)2 = (2x + 4) + 2.
Answer:
-21/11
Step-by-step explanation:
Intro:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
First I would distribute what I can...
[tex]6(2x+4)2=(2x+4)+2\\24x+48=2x+4+2[/tex]
Now we combine like terms...
[tex]24x+48=2x+6[/tex]
Subtract 2x from both sides...
[tex]22x+48=6[/tex]
Subtract 48 from both sides...
[tex]22x=-42[/tex]
Divide both sides by 22...
[tex]x=-\frac{21}{11}[/tex]
So the answer is [tex]-\frac{21}{11}[/tex]
If side a = 3 and b = 4 what is the length of leg c in a right triangle using the
pythagorean theorem?
Answer: 5
Step-by-step explanation: Leg A + Leg B= Leg C
9+16=25 the square of 25 is 5
Answer:
5 = c
Step-by-step explanation:
pythagorean theorem is simply a^2 + b^2 = c^2
so a=3 and b=4 so we plug them in
3^2 + 4^2 = c^2
which is
9 + 16 = c^2
so
25 = c^2
then we take the square root for the answer!!
sqrt(25) = sqrt(c^2)
5 = c
Use the Factor Theorem to determine whether h(x) = x – 1 is a factor of f(x) = 14x^99 – 65x^56 + 51.
a. Yes
b. No
why is eid more inportant than ramadan???
brainlest for 1
Answer:
eid is more important then Eid
Step-by-step explanation:
Eid al-Fitr - which means 'festival of the breaking of the fast - is celebrated at the end of Ramadan, , a month when many adult Muslims fast. Eid al-Adha - which means 'feast of the sacrifice' - is celebrated just over two months later, at the same time when many Muslims perform the Hajj pilgrimage.
Answer:
because we get to spend eid with family and friends.
Step-by-step explanation:
but they're equally important, in my opinion
The midpoint of TP is (3,0). If one endpoint, point T, has the coordinates
(-2,-6), what are the coordinates of the other endpoint of TP?
Answer: (7, 6)
Step-by-step explanation: Use the midpoint formula but instead you’re finding the coordinates of the other point(not sure if that makes sense). There’s a shorter way tho
A baseball field is being constructed. The builders noticed that the batters would have the sun in their eyes when batting from point A. The builders decided to rotate the model 90° counterclockwise about the origin. Where is the new location of the batter?
Answer:
[tex]A' =(-y,x)[/tex]
Step-by-step explanation:
Given
Represent point A as thus;
[tex]A = (x,y)[/tex]
Required
Determine the new position of A, when rotated counterclockwise
The new position will be denoted as A'
When a point is rotated counterclockwise, we start by switching the positions of x and y as follows:
[tex]Pos = (y,x)[/tex]
Then, y is negated to give A'
[tex]A' =(-y,x)[/tex]
if x+y=10 and x-y=6 , what is the value of x³-y³
Answer:
[tex]\huge\boxed{x^3-y^3=508}[/tex]
Step-by-step explanation:
[tex]\underline{+\left\{\begin{array}{ccc}x+y=10\\x-y=6\end{array}\right}\qquad|\text{add the sides of the equations}\\.\qquad2x=16\qquad|\text{divide both sides by 2}\\.\qquad\boxed{x=8}\\\\\text{Substitute it to the first equation}\\8+y=10\qquad|\text{subtract 8 from both sides}\\\boxed{y=2}\\\\x^3-y^3=8^3-2^3=512-8=504[/tex]
A racquetball club membership costs $22.50 per month. What would a year’s membership cost?
Answer:
270 dollars for a year, so 22.50 times 12
The cost of the membership for a year will be $270.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
A racquetball club membership costs $22.50 per month.
We know that in a year, the number of months is 12.
Then the cost of the membership for a year will be given by the multiplication of the numbers 22.50 and 12.
Cost = 22.50 x 12
Cost = $270
The cost of the membership for a year will be $270.
More about the Algebra link is given below.
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mrs.jacobson asked her students to write a world problem that describes the graph below. which world problem accurately describes the graph?
Answer:
please attach the graph
Lea received a tip of $8 on a restaurant tab of $20. What percent tip did
she receive?
Answer:
40% tip
Step-by-step explanation:
If $20 is 1/5 of $100 and that $8 tip is part of those $20 you just have to multiply by five and thats your answer
A postage box should weigh 1.0 pound. If there is a 5% error on the weight, what is the range of acceptable weight? Explain?
Answer:
.95-1.05
Step-by-step explanation:
you are able to go above 0.05 or below 1 by 0.05
since it's 95% of 1
Answer:
.05
Step-by-step explanation:
It's simple really. It's finding 5% of 1.
First you change the percent to a decimal. 5%= .05
Next you multiply .05 times 1 which is obviously 1. :)
A sailor is 30m above the water in the crow's nest on a sailboat. The sailor encounters an orca surface at an angle of depression of 15 degrees. The crows nest is 20 m horizontally from the bow (front) of the boat. How far in front of the boat is the orca?
Given :
A sailor is 30 m above the water in the crow's nest on a sailboat.
The sailor encounters an orca surface at an angle of depression of 15 degrees.
The crows nest is 20 m horizontally from the bow (front) of the boat.
To Find :
How far in front of the boat is the orca.
Solution :
Let, distance of boat front from the crow's nest is x.
So,
[tex]\dfrac{30}{20+x}=tan \ 15^{\circ}\\\\x=\dfrac{30}{tan \ 15^{\circ}}-20\\\\x=111.94-20\\\\x=91.94\ m[/tex]
Hence, this is the required solution.
bob claims that he can map rectangle 1 to rectangle 2 select all of the transformations or series of transformation that support his claim
Answer:
The first thing you need to notice is that each mark in the coordinate axis represents 2 units.
Now, let's analyze each option that maps rectangle 1 to rectangle 2.
Reflection over the line x = 1, and a translation of 2 units down.
You can see that the right end of rectangle 1 us located at x = -2
The distance between x = -2 and the line of reflection is:
1 - (-2) = 3
Then the left end of the reflected rectangle will e 3 units at the right of x = 1.
1 + 3 = 4
Will be at x = 4, same as rectangle 2.
Now we move it 2 units down, and we will have rectangle 1 mapped into rectangle 2.
Translation of 12 units right, and then 2 units down.
The right end of rectangle 1 is at x = -2
The right side of rectangle 2 is at x = 10
The difference is 10 -(-2) = 12
Then we must move rectangle 1 12 units to the right.
Now, same as before, we can move rectangle 1 2 units down and we will have rectangle 1 mapped into rectangle 2.
Rotation of 180° around the point (1, 4)
This means a reflection over the line x = 1, followed of a reflection over the line y = 4.
We already see that a reflection over the line x = 1 leaves rectangle 1 right above rectangle 2. And the line that separates them is the line y = 4, then when we do a reflection over that line, we will have rectangle 1 mapped into rectangle 2.
Answer:
D, E, and F
Step-by-step explanation:
If the domain of a relation is all whole numbers between 2.5 and 7.5, and the range contains 6 different values, can you determine whether the relation is a function? Explain your reasoning. Choose the correct answer below. A. The domain has more values than the range, so at least one range value is mapped to by more than one domain value. The relation is not a function. B. The domain has fewer values than the range, so there must be a domain value which maps to more than one range value. The relation is not a function. C. The domain has as many values as the range, but it cannot be determined whether the relation is a function with only the given information. D. The domain has as many values as the range, so each domain value maps to only one range value. The relation is a function.
Answer:
This relation is not a function as the domain has fewer values than the range, so there must be a domain value which maps to more than one range value.
Step-by-step explanation:
A relation is said to be a function if each and every element of the domain has a distinct value value in the range.
Domain of a relation is a set of all whole numbers between 2.5 and 7.5, and the range contains 6 different values.
Whole numbers between 2.5 and 7.5 are [tex]3,4,5,6,7[/tex]
This relation is not a function as the domain has fewer values than the range, so there must be a domain value which maps to more than one range value.
B. This relation is not a function as the domain has fewer values than the range, so there must be a domain value which maps to more than one range value.
As we know that:
A relation is said to be a function if each and every element of the domain has a distinct value value in the range.
It is given that Domain of a relation is a set of all whole numbers between 2.5 and 7.5, and the range contains 6 different values.
Now, whole numbers between 2.5 and 7.5 are:
[tex]3,4,5,6[/tex]
There are 4 numbers in the domain and 6 numbers in the range.
That is the elements in domain are less than the elements in the range.
Therefore, this relation is not a function as the domain has fewer values than the range, so there must be a domain value which maps to more than one range value.
Hence the correct option is A.
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Let f (x) = 3x² + 2x – 1 and g (x) = x2 – 3x + 1
Find f(x) + g(x)
4x2 - x
4x2 + 5x
2x2 - 5x + 2
4x2 - x + 2
Answer:
4x² - 1
Step-by-step explanation:
Add:
3x² + 2x - 1
x² - 3x + 1
= 4x² - x
PLEASE HELP, GIVING BRAINLIEST!!!
These triangles are congruent by _____.
A. ASA
B. AAS
C. SSS
D. Not enough information
E. None of these
Answer:
A. ASA
Step-by-step explanation:
There are two angles and sides marked as congruent\
The angles in the middle are congruent by the Vertical Angles Theorem
They have congruent side with congruent angles adjacent so it's Angle Side Angle
Sam is looking at cell phone plans.A local company offers a monthly plan for 58.95dollars . The company is having a sale and offering a discount of 4.75 off the monthly plan. Sam says that the new cost is 11.45 explain Sam's error and find the correct new cost
Given :
A local company offers a monthly plan for 58.95 dollars.
The company is having a sale and offering a discount of 4.75 off the monthly plan.
To Find :
Sam says that the new cost is 11.45 explain Sam's error and find the correct new cost.
Solution :
Correct cost = Original price - Discount offered
Correct cost = $( 58.95 - 4.75 )
Correct cost = $54.2 .
Now, Sam's cost is $11.45 because he took $4.75 as $47.5 .
Hence, this is the required solution.
Hello, i was wondering if anyone could help me with questions 2 and 3? Thanks :)
I know the page is a bit blurry so here’s what question 2 says:
Hal is munching his garden. He has 5 3/4 bags of much. Each bag covers 105.2 sq. how much area can he cover?
the options are:
A. 520.2
B. 525.75
C 574.5
D 604.9
Answer: 2:D 3: 1/3 of the fruit, or 80 oranges
Step-by-step explanation:
Answer:
Step-by-step explanation: 5x105.2=526 75% of 105.2 is 78.9 so 105.2+78.9=184.1
PLEASE HELP QUICKLY! 30 POINTS AND WILL MARK BRAINLIEST.
Write an equation for the th term of the arithmetic sequence below.
-12, -3, 6, ...
A. f(n)=-9n-21
B. f(n)=9n-21
C. f(n)=9n+21
D. f(n)=-9n+21
Answer:
c
Step-by-step explanation:
you need to find how the numbers increase each time to help you.