Orange Mobiles claims that the average battery life of their flagship mobile is at least 7 hours. They try to verify this claim on 150 mobiles. They find that the average battery life of these 150 mobiles is 6.9 hours with a standard deviation of 2 hours. Choose the most appropriate answer form below: a. P value is about 0.7294 and is to the left of the mean b. P value is about 0.7294 and is to the right of the mean c. P vilue is a about 02706 and is to the right of the mean d. P value is about 02706 and is to the left of the mean
Based on the information provided, the most appropriate answer is option (c): P value is about 0.2706 and is to the right of the mean.
To determine whether the claim made by Orange Mobiles is supported by the data, a hypothesis test can be conducted. The null hypothesis (H0) would state that the average battery life is 7 hours, while the alternative hypothesis (Ha) would state that the average battery life is less than 7 hours.
By comparing the sample mean (6.9 hours) to the claimed population mean (7 hours) and considering the standard deviation (2 hours), a t-test or z-test can be performed to calculate the p-value. The p-value represents the probability of observing a sample mean as extreme or more extreme than the observed value, assuming the null hypothesis is true.
In this case, the p-value is approximately 0.2706, and since it is greater than the conventional significance level (e.g., 0.05), we fail to reject the null hypothesis. This suggests that there is insufficient evidence to conclude that the average battery life is less than 7 hours.
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Solve the system of linear equations by elimination.
x+3y=5
−x−y=−3
i hope this helps! Let me know if I have to explain it more or if i got it wrong.
Hank has the choice of taking out a 30-year loan for $165,000 at 9.1% interest, compounded monthly, or the same loan at 20 years for a higher monthly payment. How much more is the monthly payment for the 20-year loan than the monthly payment for the 30-year loan? O A. $56.47 O B. $155.66 O c. $99.19 OD. $90.05
If Hank has the choice of taking out a 30-year loan for $165,000 at 9.1% interest. The amount that the monthly payment for the 20-year loan is more than the monthly payment for the 30-year loan is: B. $155.66.
How to find the monthly payment?For 30-year loan
P= principal = $165,000
r = Rate = 9.1% /12 = 0.00758
n = Number of months= 30years × 12 months = 360
So,
Monthly payment = 165,000×0.00758 × ( 1+0.00758)^360 / (1+0.00758)^360 -1
Monthly payment = 165,000×0.00758 × ( 1.00758)^360 / (1.00758)^360 -1
Monthly payment = 18,957.7574/14.15771760
Monthly payment = $1,339.04
For 20-year loan
P= principal = $165,000
r = Rate = 9.1% /12 = 0.00758
n = Number of months= 20years × 12 months = 240
So,
Monthly payment = 165,000×0.00758 × ( 1+0.00758)^240 / (1+0.00758)^240 -1
Monthly payment = 165,000×0.00758 × ( 1.00758)^240 / (1.00758)^240 -1
Monthly payment = 7,660.239666/5.12476186615
Monthly payment = $1,494.7
Difference = $1,339.04 - $1,494.7
Difference = $155.66
Therefore the correct option is B.
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what is the slope of a line parallel to the line y=3x-4=8y+1
Answer: If the original equation is y = 3x -4, the slope is 3.
Any equation of a line parallel to the line y = 3x -4 will have a slope of 3.
Step-by-step explanation:
In slope-intercept form, y =mx + b the coefficient of x, m is the slope.
Here 3 is that value.
It is very unusual to have two equal signs in a question about slope.
I am not sure what to do with the =8y + 1
Is this supposed to be another equation in the system, missing a term?
show that if g is a connected graph, then it is possible to remove vertices to disconnect g if and only if g is not a complete graph.
A connected graph can be disconnected by removing vertices if and only if it is not a complete graph.
A connected graph is one where there exists a path between any pair of vertices. Removing any vertex from a complete graph will result in a disconnected graph since there will be at least one pair of vertices that are no longer connected. Therefore, a complete graph cannot be disconnected by removing vertices.
On the other hand, if a graph is not a complete graph, it means that there exist at least two vertices that are not connected by an edge. By removing these vertices, we effectively disconnect the graph since there is no longer a path between them.
Thus, it is possible to remove vertices to disconnect a graph that is not a complete graph.
A complete graph cannot be disconnected by removing vertices, while a non-complete graph can be disconnected by removing appropriate vertices.
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GIVING BRAINLIEST!!
POLY ≅ SIDE
A. List four pairs of congruent sides.
B. List four pairs of congruent angles
Answer:
ANGLES-
P=S
O=i
L=D
Y=E
SIDES-
PO=SI
OL=ID
LY=DE
YP=ES
Step-by-step explanation:
pretend the equal signs are congruency signs
answer the following this is reading!
Answer:
The first one, "A survey..."
Hope this helps!
Step-by-step explanation:
Answer:
i think the first one I am not sure
3 part question. At the highest point, the elevation of a county is 5,762 feet above sea level. At its lowest point, the elevation of the county is 8 feet below sea level. Answer parts a through c.a. Write an expression using integers to represent the difference between the elevations.b. write the integer that represents the elevation of a county 6 feet below sea level.c. Write an expression using integers to represent the difference between the elevations. Subtract the lower elevation from the higher elevation.
a) To determine the difference between elevation you have to subtract the lower value to the higher one:
Highest point= 5762feet (the value is + because it is above sea level)
Lowest point= -6 feet (the value is - because is below sea level)
The difference (d) is:
\(d=5762-(-6)=5762+6\)b) Lowest elevation = -6 feet
c) d=5762+6= 5768feet
i have i need to use the substitution method to work out what x and y is
5y−2x=10
8x+5y=60
Answer:
pick the simplest of the 2 equations
Step-by-step explanation:
5y-2x=10
5y = 2x +10
y = 2/5x + 2
now substitute
8x + 5(2/5X +2)=60
8x + 2x + 10 = 60
10x = 50
x = 5
y = 4
Find the space inside a parallelogram with a base of 14 and a height of 18.
Answer:
252
Step-by-step explanation:
Formula for find the area of a parellogram is B*H
B=14
H=18
14*18=252
Answer:
Area = 252 units²
Step-by-step explanation:
Find the space inside a parallelogram with a base of 14 and a height of 18.
the space inside a parallelogram is the area
Area = b × h (where b is the base and h the height)
Area = 14 × 18
Area = 252 units²
5. Find the area between the graph of \( y=4-x^{2} \) and the \( x- \) axis.
The area of the region between the graph of y=4−x2 and the x-axis is 10.67 square units. The solution has been obtained by using the integration method.
The area between the graph of y = 4−x2 and the x-axis is obtained by finding the integral from a to b of the function f(x), which is given by f(x) = 4-x2 .
Therefore, the area of the region between the graph of y=4−x2 and the x-axis is given by the definite integral as follows:
Integral of f(x) = Integral of 4 - x2 dx = [4x - (x3/3)] as limits of integration (x = -2 and x = 2)
By plugging in these limits of integration, we get the value of the area of the region as follows:
Therefore, the area of the region between the graph of y=4−x2 and the x-axis is 10.67 square units.
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Which table shows the reflection of f(x) across the y-axis?
answer 4 brainliest
The Correct graph is fourth one !
Answer:
The last one is correctStep-by-step explanation:
Comparison with the gradientQUESTION :
m = (-3--1)/(-5-6) = 2/11
LAST ONE :
m = (-3--1)/(5--6) = -2/11
WITH THE REFLECTION OF F(X) , NORMALLY THE X-INTERCEPTS OF THE REFLECTED VALUE REMAIN THE SAME BUT CHANGE SIGNS. THE Y-INTERCEPTS DON'T CHANGE INCLUDINGVTHE SIGNS.
HOPEFULLY THIS MAKES SENSE :)Identify the property that does NOT belong with the other three.
A. x+12=12+x
B. 7h=h•7
C. 1+a=a+1
D. (2j)k=2(jk)
1.
A- (-15) ÷ (-16 + 1)
B- [(-10) + 5] ÷ [ 20 + (-15)]
2nd question is in the pic
Answer:
Step-by-step explanation:
1A
SOL:
=-15 ÷ -15
=1 ANS
B:
SOL:
= -5÷5
= -1 ANS
There are two coins in a bin. When one of them is flipped it lands on heads with probability 0.6 and when the other is flipped, it lands on heads with probability 0.3. One of these coins is to be chosen at random and then flipped. a) What is the probability that the coin lands on heads? b) The coin lands on heads. What is the probability that the chosen coin was the one that lands on heads with probability 0.6?
The probability that the coin lands on heads if one of them is flipped and lands on heads with probability 0.6 is 0.6 × 1/2 + 0.3 × 1/2 = 0.45. Therefore, the probability that the coin lands on heads is 0.45.
a) Let A be the event that the chosen coin is the one that lands on heads with probability 0.6 and B be the event that the coin lands on heads. Then, the required probability is P(A | B) = P(A and B) / P(B) .
Here, P(A and B) = probability that the chosen coin is the one that lands on heads with probability 0.6 and it actually lands on heads.
Since the probability that the coin lands on heads are 0.45 and the probability that the chosen coin is the one that lands on heads with a probability of 0.6 is 1/2, we have P(A and B) = 0.6 × 1/2 = 0.3. The probability that the coin lands on heads is 0.45.
So, P(B) = probability that the coin lands on heads = 0.45.P(A | B) = P(A and B) / P(B) = 0.3 / 0.45 = 2/3.
Hence, the probability that the chosen coin was the one that lands on heads is 0.6 if the coin lands on heads are 2/3.To learn more about “probability” refer to the: https://brainly.com/question/13604758
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A bricklayer lays 4 bricks the first day of the job. On each day thereafter, he lays three times the number of bricks he laid on the previous day. If he continues this pattern, how many bricks in total will he have laid at the end of the fifth day? Responses 10 bricks 10 bricks 24 bricks 24 bricks 324 bricks 324 bricks 484 bricks
At the end of the fifth day, a bricklayer has laid 324 bricks on the job.
What is multiplication?Multiplication is a mathematical arithmetic operation.
It is also a process of adding the same types of expression to some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given, a bricklayer lays 4 bricks on the first day on the job.
On each day thereafter, he lays three times the number of bricks he laid on the previous day.
And he continued his pattern.
Let x be the number of bricks he laid in the previous day.
Then according to the question,
The number of bricks in total is = 3x
For the second day, x =4
Number of the bricks he laid on the second day = 12
Now the x =12 for the third day.
Number of the bricks he laid on the third day = 36
Now x = 36 for the fourth day.
Number of the bricks he laid on the fourth day = 108
Now the x = 108 for the fifth day.
Number of the bricks he laid on the fifth day = 324
Therefore, 324 bricks he has laid at the end of the fifth day.
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Harry fills up his Jeep with gasoline and notes that the odometer reading is 23,408.1 miles. The next time he fills up his Jeep, he pays for 15.5 gallons of gasoline. He notes his odometer reading is 23,684 miles. How many miles per gallon did he get? (Round the answer to the nearest tenth, if necessary.)
First let's find how many kilometers the jeep traveled, by subtracting the odometer readings:
\(23684-23408.1=275.9\)Now, to find the miles per gallon, we just need to divide the kilometers by the amount of gallons of gasoline:
\(\frac{275.9}{15.5}=17.8\)So Harry got 17.8 miles per gallon with the Jeep.
\(\sqrt{25} is an irrational
Answer:
Is Square Root of 25 Rational or Irrational?
Step-by-step explanation:
A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.
The answer is:
⇨ √25 is a rational numberWork/explanation:
What are rational numbers?
Rational numbers are integers and fractions.
Irrational numbers are numbers that cannot be expressed as fractions, such as π.
Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.
Hence, √25 is rational.5. invests $25,000 in a retirement fund that earns a 4.03% annual interest rate which is compounded continuously. The formula that shows the value in the account after tyears is A(t) = 250000.04036 A. (4 pts) What is the value of account after 10 years? (Round to 2 decimal places) Label with the correct units.
Since your retirement fund earns a 4.03% annual interest rate compounded continuously, we'll need to use the continuous compounding formula: A(t) = P * e^(rt)
where:
A(t) = value of the account after t years
P = principal amount (initial investment)
e = the base of the natural logarithm, approximately 2.718
r = interest rate (as a decimal)
t = number of years
Given that you've invested $25,000 (P) at a 4.03% interest rate (r = 0.0403), we'll find the value of the account after 10 years (t = 10).
A(10) = 25000 * e^(0.0403 * 10)
Now, calculate the value:
A(10) = 25000 * e^0.403
A(10) = 25000 * 1.4963 (rounded to 4 decimal places)
Finally, find the total value:
A(10) = 37357.50
After 10 years, the value of the account will be $37,357.50 (rounded to 2 decimal places).
Note that there is no indication of fraud in this scenario, and the interest rate used is 4.03%.
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what is the slope of a line perpendicular to the line y=1/2x+2?
Answer:
-2
Step-by-step explanation:
y = (1/2)x + 2
Slope = 1/2
Slope of the perpendicular line = -1/m = -1 ÷ (1/2)
\(= -1*\dfrac{2}{1}\\\\= -2\)
Helppp i need HELP :'))))
Can someone please help me with the red one in the purple one please no links thank you
Does anyone know the answer?
Answer:
6i+9j-15k
Step-by-step explanation:
multiply every thing by 3
URGENT!!!
A chemist has two acid solutions. Solution A contains
acid, and solution B contains
acid. He will mix the two solutions to make
liters of a third solution, solution C, containing
acid.
The system of equations shown can be used to represent this situation.
A statement about the system of equations that is true is: A. in the system of equations, x represents the number of liters of acid in solution A, and y represents the number of liters of acid in solution B.
The expression 0.30y represents: B. the number of liters of acid in solution C that come from solution B.
If the system of equations is graphed in a coordinate plane, the x-coordinate of the intersection of the two lines is 2.5.
The number of liters of solution B the chemist mixes with solution
A to create solution C containing 25% acid is 7.5 liters.
How to write an equation to model this situation?In order to write a system of linear equations to describe this situation, we would assign variables to the number of liters of acid in solution A and the number of liters of acid in solution B respectively, and then translate the word problem into an algebraic equation (linear equations) as follows:
Let the variable n represent the number of liters of acid in solution A.Let the variable l represent the number of liters of acid in solution B.Since the chemist mixed the two solutions to make 10 liters of a third solution, solution C, containing 25% acid, a system of linear equations that models the situation is given by;
x + y = 10
10%x + 30%y = 25% ⇒ 0.10x + 0.3y = 2.5
By solving the system of linear equations simultaneously, we have:
0.10(10 - y) + 0.3y = 2.5
y = 7.5 liters.
x = 10 - y = 10 - 7.5 = 2.5 liters.
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Segment A'B' iS parallel to segment AB.
What is the length of segment A'A?
answer:18
Step-by-step explanation:
From the figure, we can see that ABC and A'B'C are similar triangles.
Because Segment A'B' is parallel to segment AB.
then angleA'B'C=ABC CA'B'=CAB A'CB'=ACB
A'B':AB=8:20 rate=0.4
A'C:AC=12:?
12/0.4=AC=30
AC-A’C=30-12=18
calculate the number of waffles produced if you start with 15 eggs, assuming you have enough of all other ingredients? given: 4 cups flour 6 eggs 2 tbsp oil 8 waffles
The number of waffles can be made from 15 eggs are, 20 waffles.
the waffles can be calculates as follows
4 cups of fluor + 6 eggs +2 tbsp oil = 8 waffles
we need 6 eggs to make 8 waffles
So, the waffles can we make from 15 eggs = \(\frac{8}{6} X 15 = 20\) waffles
Hence, the number of waffles can be made from 15 eggs are 20 waffles.
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On a bike trip, you traveled 21 miles on the first day, 19 miles on the second day, and n miles on the thirdday.
a. Write an expression for the number of miles traveled all three days.
b. Simplify the expression.
PLZ DONT WASTE MY POINTS
Answer:
21 + 19 + x
40 + x
Step-by-step explanation:
well you would just add up 21 + 19 + x. that would be 40 + x. That would be the number of miles
Can someone please help me with math.
Answer:
The answer would be B
Step-by-step explanation:
From 1 second to 3 seconds Denise had stopped
We can tell that this is true because looking at the graph we can see that from 1 to 3 seconds the distance stayed the same which indicates that Denise was not walking
Answer:
I think it is B between 1 and 3 bc a flat line shows no progress and the only area where is show a flat line is between 1 and 3 so he stopped walking at that point
Step-by-step explanation:
In 1980 the population of alligators in a particular region was estimated to be 1200. In 2008 the population had grown to an estimated 7500. Using the Malthusian law for population growth, estimate the alligator population in this region in the year 2020.
The Malthusian law for population growth states that the rate of population growth is proportional to the current population size.
Mathematically, we can express this as:
dP/dt = rP
where P is the population size, t is time, and r is the growth rate.
Assuming a constant growth rate, we can integrate this equation to get:
ln(P) = rt + C
where C is an integration constant. We can solve for C using the initial population estimate:
ln(1200) = r(1980) + C
C = ln(1200) - r(1980)
Substituting the values of C and P from the second estimate (P=7500 in 2008), we get:
ln(7500) = r(2008) + ln(1200) - r(1980)
Solving for r, we get:
r = [ln(7500) - ln(1200)] / (2008 - 1980) = 0.0496
Using this value of r, we can predict the alligator population in 2020, which is 12 years after the second estimate (2008). We have:
ln(P) = rt + ln(7500)
ln(P) = 0.0496(12) + ln(7500) = 9.058
P = e^9.058 = 8656
Therefore, the estimated alligator population in the region in the year 2020 is 8656.
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A weather balloon holds 2,600 cubic meters of helium. The density of helium is 0.1755 kilograms per cubic meter. How many kilograms of helium does the balloon contain?
Answer:
The balloon contains 456.3 kg of helium
Step-by-step explanation:
Density=mass / volume
Volume=2600 cubic meters of helium
Density=0.1755 kilograms per cubic meters
Mass=x
Find mass, x
Density=mass / volume
Mass=Density × volume
=0.1755 * 2600
=456.3 kg
The balloon contains 456.3 kg of helium