Answer:
1 1/3 or 4/3
Step-by-step explanation:
order of operations
Washing his dad's car alone, Jeff takes 4 hours. If his dad helps him, then it takes 3 hours. How long does it take Jeff's dad to wash the car by himself?
We know that the time is inversely proportional to the work.
Let t₁ is the time taken by Jeff and t₂ is the time taken by Jeff's dad.
We know that the formula:
\(\frac{1}{t_1}+\frac{1}{t_2}=\frac{1}{t}\)Given:
\(\begin{gathered} t_1=4hours \\ t_2=? \\ t=3hours \end{gathered}\)Therefore,
\(\begin{gathered} \frac{1}{4}+\frac{1}{t_2}=\frac{1}{3} \\ \frac{1}{t_2}=\frac{1}{3}-\frac{1}{4} \\ \frac{1}{t_2}=\frac{4-3}{12}=\frac{1}{12} \\ \frac{1}{t_2}=\frac{1}{12} \\ Cross\text{ multiply} \\ 1\times12=1\times t_2 \\ 12=t_2 \\ \therefore t_2=12 \end{gathered}\)Hence, it took Jeff's dad 12hours to wash the car himself.
Jazz music accounts for 13% of iTunes sales if they plan to sell 720,000 albums how many will be of jazz music
well, it'll just be 13% of 720,000
\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{13\% of 720000}}{\left( \cfrac{13}{100} \right)720000}\implies 93600\)
Select the correct answer. the world population in 2013 was about 7.125 billion. in 2003, it was about 6.357 billion. which number represents the increase in the world population between 2003 and 2013?
a. 0.0768 × 107
b. 0.768 × 108
c. 7.68 × 109
d. 7.68 × 108
Answer:
The number represent the increase in the world population is 0.768 billion.
Step-by-step explanation:
Given : The world population in 2013 was about 7.125 billion. In 2003, it was about 6.357 billion.
To find : Which number represents the increase in the world population between 2003 and 2013?
Solution :
The world population in 2013 was about 7.125 billion.
The world population in 2003 was about 6.357 billion.
The world population between 2003 and 2013 is
The population of 2013- The population of 2003
=7.125\text{ billion}- 6.357\text{ billion}=7.125 billion−6.357 billion
=0.768\text{ billion}=0.768 billion
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Can you show this answer to me
Selena got 5 out of 6 answers correct on her science quiz her friends Ana got 4 answers out of 6 correct on her quiz her which friend answered a greater fraction of the questions correctly
Selena got the greater fraction of the questions correctly as 5/6 > 4/6.
Explain the term fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator as well as denominator of a complex fraction. The numerator of a proper fraction is smaller than the denominator.For the stated data in the question.
Correctly answered by Selena in science quiz = 5/6
In decimal form.
5/6 = 0.833
Correctly answered by Ana in science quiz = 4/6 .
In decimal form;
4/6 = 0.666
Now,
0.666 > 0.8333
Thus,
5/6 > 4/6
Therefore, Selena got the greater fraction of the questions correctly as 5/6 > 4/6.
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Two places X and Y on the equator are on the longitude 67°E and 123°E respectively
a) What is the distance between them along the equator?
b)How far is X from the North Pole
(take π to be 22/7 and Earth to be 6400km).
i) Distance between X and Y along the equator ≊ 6258 km
ii) Distance of X from the North pole ≊ 10057 km
What is the equator ?
The Equator is a fictitious line that circles the globe's center. The line that separates the Northern Hemisphere from the Southern Hemisphere is located halfway between the North and South Poles.
The Longitude difference = 123° - 67° = 56°
(i) Distance between X and Y along the equator
= (56/360)×2×(22/7)×6400cos(0)
= (56/360)×2×(22/7)×6400
= 6257.78 km
≊ 6258 km
(ii) Latitude difference = 90°
Distance from the North pole
= (90/360)×2×(22/7)×6400
= 10057.14 km
≊10057 km
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Last year, Jackson made 24 one-cup servings of chili for a school party. This year, he will make ten times the amount of chili that he made last year. If there are 4 cups in 1 quart and 4 quarts in one gallon, how many gallons of chili will Jackson make this year?
Answer: 15
Step-by-step explanation:
You have to multiply what Jackson made last year (24 cups) times 10 which equals 240. after that you do 240 divided by 4, which equals 60, and 60 divided by 4 again, which gives us the answer (15) (hope you could understand that) Also sorry for not answering in time!
Not so sure on this….
I am less than a whole. I am 3 decimal places.when rounded to the nearest tenth I am 0.78.what number am i
The number that is less than a whole, in 3 decimal places and when rounded to the nearest tenth is 0.78 will be 0.775.
When is a decimal?A fraction expressed in a particular way is called a decimal. As an alternative to expressing 1/2, you might write 0.5 instead, with the zero in the ones place and the five in the tenths position. The word decimus, which means tenth in Latin, is derived from the base word decem, or 10.
It should be noted that 0.775 is in 3 decimal places. In this case, the last 5 will be converted and this will become 0.78.
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The table of values below represents a linear function and shows Marco’s progress as he is pumping gas into his car. What is the output for the initial value?
Gas in Marco’s Car
Seconds Spent Pumping Gas
0
12
24
36
48
Gallons of Gas in Car
3
5
7
9
11
3 gallons are the starting value determined by the slope-intercept relation.
What is slope intercept form?One of the most popular ways to represent a line's equation is in the slope intercept form of a straight line. When the slope of the straight line and the y-intercept are known, the slope intercept formula can be used to determine the equation of a line ( the y-coordinate of the point where the line intersects the y-axis). The equation of a line is the equation that each point on the line fulfils.
To determine how much gas is entering his car each second, we must determine the rate of change:
Rise / Run is the rate of change.
Rate of change: (11 - 3 - 11) / (48 - 0)
Change rate: 8/48 = 1/6 gallons
Making use of the slope-intercept relationship:
Y = b(x) + c(slope); c(initial gas amount)
Choose any (x, y) point pair on the table:
(0, 3)
3 = 1/6x + c 3 = 1/6(0) + c\s3 = 0 + c\sc = 3
As a result, the starting point is 3 gallons.
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Evaluate the expression. 54 + 3 = 4096
Answer:
38
Step-by-step explanation:
when P is not on the line l, the image and pre image are
a. parallel
b.not parallel
When P is not on the line l, the image and pre-image are: a. parallel.
What is dilation?In Geometry, a dilation is a type of transformation which typically transforms the dimensions or side lengths of a geometric object, without affecting its shape.
Generally speaking, a dilation is not a rigid transformation because it can preserve angle measure, orientation, perpendicular lines, betweenness of points, parallel lines, and collinearity in any geometric figure.
In conclusion, we can reasonably infer and logically deduce that the the image and pre-image are still parallel lines when P is not on the line l.
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Desde una casa se lanza verticalmente hacia arriba una moneda con una velocidad de 5.2m/s . Si llega al suelo 4 segundos después de ser lanzada: Determinar la altura máxima que alcanza la moneda tomando en cuenta que la altura de la casa es de 3m
Con que velocidad llega la moneda al suelo?
The magnitude of the velocity is 34.2 m/s.
The given problem can be solved using kinematic equations. We have been given the initial velocity of the coin, u = 5.2 m/s, the time taken by the coin to reach the ground, t = 4 seconds and the height of the house from where the coin was thrown, h = 3 m.Let's solve the first part of the problem to find out the maximum height the coin reaches.We know that when the coin reaches its maximum height, its vertical velocity becomes zero. So we can use the following equation:v² = u² + 2asHere, v = 0, u = 5.2 m/s, s = h (height reached by the coin), and a = -9.8 m/s² (acceleration due to gravity).0 = (5.2)² + 2(-9.8)s⇒ s = (5.2)²/2(9.8)⇒ s ≈ 1.35 m
Therefore, the maximum height that the coin reaches is approximately 1.35 m.Now let's solve the second part of the problem. We need to find out the velocity of the coin when it hits the ground. We can use the following equation to find the final velocity:v = u + atHere, u = 5.2 m/s, a = -9.8 m/s², and t = 4 seconds.v = 5.2 + (-9.8)(4)⇒ v ≈ -34.2 m/sThe negative sign indicates that the coin hits the ground with a downward velocity of 34.2 m/s.
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Given g(x)=kf(x), identity a value of k that transforms f into g. k=
Explanation:
Both functions are lines. The equation of a line in slope-intercept form is:
\(f(x)=mx+b\)Where m is the slope and b is the y-intercept.
For function f(x) the slope is 1/2 and the y-intercept is -1.
For function g(x) the slope is 3/2 and the y-intercept is -3.
It is clear that the slope of function g(x) is three times the slope of function f(x). Also, the y-intercept of g(x) is three times the y-intercept of f(x). Therefore the constant k is 3
Answer:
k = 3
cos s=-2/5 and sin t=4/5, s and t are in quadrant II
find cos(s+t) and cos(s-t)
Answer:
•cos(s+t) = cos(s)cos(t) - sin(s)sin(t) = (-⅖).(-⅗) - (√21 /5).(⅘) = +6/25 - 4√21 /25 = (6-4√21)/25
•cos(s-t) = cos(s)cos(t) + sin(s)sin(t) = (-⅖).(-⅗) + (√21 /5).(⅘) = +6/25 + 4√21 /25 = (6+4√21)/25
cos(t) = ±√(1 - sin²(t)) → -√(1 - sin²(t)) = -√(1 - (⅘)²) = -⅗
sin(s) = ±√(1 - cos²(s)) → +√(1- cos²(s)) = +√(1 - (-⅖)²) = √21 /5
What is the minimum number of points required to mark all maximum minimum and zeros of a sinusoid.
The minimum number of points required to mark all maximum, minimum, and zeros of a sinusoid is 3. A sinusoid is a wave-like pattern that repeats itself over time. The minimum number of points required to mark all maximum, minimum, and zeros of a sinusoid is 3.
It consists of maximum points (the highest points of the wave), minimum points (the lowest points of the wave), and zeros (the points where the wave crosses the x-axis). To mark all of these points, you only need to identify three points on the sinusoid. One point should be a maximum point, another should be a minimum point, and the third should be a zero.
These three points are enough to determine the entire wave pattern and mark all the maximum, minimum, and zeros.
So, in conclusion, the minimum number of points required to mark all maximum, minimum, and zeros of a sinusoid is 3.
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The resistor in the parallel circuit shown both have values of 4 Ω ( ohms). The battery has a value of 12 volts. What's the total circuit resistance?
A. 3 Ω
B. 6 Ω
C. 4 Ω
D. 2 Ω
The equivalent resistance of the circuit is given by:
D. 2 Ω
How to find the equivalent resistance of a circuit?If the resistors are in series, the resistances are added.If two resistors are in parallel, the equivalent resistance is the product of the resistances divided by the sum.In this problem, there are two resistors in parallel, with resistances of 4 Ω, hence:
Req = 4 x 4/(4 + 4) = 16/8 = 2 ohms.
Hence option D is correct.
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Hiiiooo! Can someone please help me if you can’t see the picture I will gladly explain it in the comments!
Answer:
b
Step-by-step explanation:
5 to the power of 2x=20
The approximate value of x in the equation 5 to the power of 2x=20 is 0.93
Calculating the value of xFrom the question, we have the following parameters that can be used in our computation:
5 to the power of 2x=20
As an expression, we have
5^(2x) = 20
Take the natural logarithm of both sides
so, we have the following representation
2x = ln(20)/ln(5)
Evaluate the quotients
This gives
2x = 1.86
So, we have
x = 0.93
Hence, the value of x is 0.93
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hello pleASE I need helppppppp
I can help you with that problem i just did that on my own.
The probability that a company A finishes a project in time is 0.49 and that of company B is 0.43. Assuming that they work independently, find the probability that project is done in time by either of these company.
The probability that the project is done in time by either Company A or Company B is 0.75.
To find the probability that the project is done in time by either Company A or Company B, we can use the concept of independent events. The probability of an event happening is equal to 1 minus the probability of the event not happening.
Step 1: Calculate the probability of the project not being done in time by either company.
The probability that the project is not done in time by Company A is 1 - 0.49 = 0.51.
The probability that the project is not done in time by Company B is 1 - 0.43 = 0.57.
Step 2: Calculate the probability of the project not being done in time by both companies.
Since the events are assumed to be independent, we can multiply the probabilities.
The probability that the project is not done in time by both companies is 0.51 * 0.57 = 0.2907.
Step 3: Calculate the probability that the project is done in time by either company.
To find the probability that the project is done in time by either company, we subtract the probability of the project not being done in time by both companies from 1.
The probability that the project is done in time by either Company A or Company B is 1 - 0.2907 = 0.7093, which can be approximated to 0.71.
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5. If the cost of two tires is $130,56, how much will it cost
Answer:6528
Since there are 2 tires, both of which are $130,056 you would need to divide by 2 to get the price of the tires separately.
how many steps in a mile walking
On average, there are 2,000 to 2,500 steps in a mile while walking.
Used the concept of measurement unit that states,
A measurement unit is a standard quality used to express a physical quantity. Also, it refers to the comparison between the unknown quantity with the known quantity.
Ask about the steps in a mile walking.
Since we know that;
There are approximately 2,000 to 2,500 steps in a mile while walking.
That means that it takes over 2,000 steps to walk one mile and 10,000 steps would be almost 5 miles.
However, this can vary depending on factors like stride length, walking speed, and individual differences.
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The amount of coffee that people drink per day is normally distributed with a mean of 17 ounces and a standard deviation of 6.5 ounces. 35 randomly selected people are surveyed. Round all answers to 4 decimal places where possible.Find the IQR for the average of 35 coffee drinkers.Q1 = ouncesQ3 = ouncesIQR: ounces
The IQR for the average of 35 coffee drinkers is approximately 1.4828 ounces.
To find the IQR (interquartile range) for the average of 35 coffee drinkers, we need to first find the standard error of the mean, which is the standard deviation divided by the square root of the sample size:
Standard error of the mean = 6.5 / sqrt(35) = 1.0967
Next, we can use the formula for the IQR:
IQR = Q3 - Q1
To find Q1 and Q3, we need to use the normal distribution table or a calculator that can perform normal distribution calculations. Using a standard normal distribution table, we can find the z-scores corresponding to the 25th and 75th percentiles, which are -0.6745 and 0.6745, respectively.
We can then use the formula:
Q1 = mean - z-score * standard error of the mean
Q3 = mean + z-score * standard error of the mean
Q1 = 17 - (-0.6745) * 1.0967 = 17.7499
Q3 = 17 + 0.6745 * 1.0967 = 17.9501
Therefore, the IQR for the average of 35 coffee drinkers is:
IQR = 17.9501 - 17.7499 = 0.2002 ounces (rounded to 4 decimal places).
Based on the information provided, we have a normal distribution with a mean of 17 ounces and a standard deviation of 6.5 ounces for daily coffee consumption. Since 35 people were surveyed, we can calculate the IQR (Interquartile Range) for the average of these 35 coffee drinkers.
First, we need to find the standard error (SE) of the sample mean, which is the standard deviation divided by the square root of the sample size:
SE = σ / √n = 6.5 / √35 ≈ 1.0987
Now, we need to find the z-scores corresponding to the first quartile (Q1) and the third quartile (Q3). For a normal distribution, Q1 corresponds to the 25th percentile (0.25) and Q3 corresponds to the 75th percentile (0.75). Using a z-table or calculator, we find:
z(Q1) ≈ -0.6745
z(Q3) ≈ 0.6745
Next, we find the corresponding ounce values for Q1 and Q3 by using the z-scores, the mean, and the standard error:
Q1 = μ + z(Q1) * SE ≈ 17 + (-0.6745) * 1.0987 ≈ 16.2586 ounces
Q3 = μ + z(Q3) * SE ≈ 17 + 0.6745 * 1.0987 ≈ 17.7414 ounces
Finally, we calculate the IQR by subtracting Q1 from Q3:
IQR = Q3 - Q1 ≈ 17.7414 - 16.2586 ≈ 1.4828 ounces
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How do I work this out?
a.) The mode for the chart is 24.
b.) The probability that the winning score will be 25 = 7/50
C.)The probability that the winning score will be 23 or more = 37/50.
How to calculate the probability of the selected outcomes?The number of times the game is played = 50 times
The number of games that showed the score of 25= 7
The probability of winning a score of 25 = 7/50
The scores that are 23 and above; 10+14+7+4+2= 37
The probability of winning a score of 23 and above = 37/50
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Hershey Park is a popular field trip destination. This year Peirce and Stetson both planned trips there. Peirce rented and filled 16 vans and 8 buses with 752 students. Stetson rented and filled 5 vans and 5 buses with 380 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?
Divide 500g into the ratio 2:3
Answer:
200g:300g
Step-by-step explanation:
2+3=5
500g/5=100g
100x2=200g
100x3=300g
Question 1
Perform the following calculations
1.2. 24 356÷5 using long division
Answer:
Step-by-step explanation:
0 7 1
5 3 5 6
− 0
3 5
− 3 5
0 6
− 5
1
One reason for a t distribution instead of the normal curve to find critical values when calculating a level C confidence interval for a population mean is that O the standard normal table doesn't include confidence levels at the bottom. O a z critical value will lead to a wider interval than a t critical value. O z requires that you can regard your data as an SRS from the population. O z requires that you know the population standard deviation sigma. O z can be used only for large samples.
The fact that z requires that you know the population standard deviation sigma is one reason why a t distribution rather than the normal curve is used to identify critical values when determining a level C confidence interval for a population mean.
C is the right response. The fact that z requires that you know the population standard deviation sigma is one reason why a t distribution rather than the normal curve is used to identify critical values when determining a level C confidence interval for a population mean.
Depending on whether we know the population standard deviation or not, we either use a z distribution or a t distribution when computing a confidence interval for a population mean. We use a z distribution when we know the group standard deviation. We employ a t distribution when it is unclear what the population standard deviation is.
The population standard deviation is not known, so we use the sample standard deviation to determine it.
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Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper.
The graph of 2x + 3y = 1470 have a y intercept of 490
What is an equation?An equation is a expression that shows the relationship between numbers and variables.
The standard form of a linear equation is:
y = mx + b
Where m is the rate of change and b is the y intercept
Let x represent the number of sandwich and y represent the number of wraps.
The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. Hence:
2x + 3y = 1470
The graph is attached
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A 8.50 kg object has the given x and y acceleration components. aₓ = (0.43 m/s²) + (0.79 m/s³) t
aᵧ = (11.9 m/s²) - (0.63 m/s³) t What is the magnitude Fₙₑₜ of the net force acting on the object at time = 6.87 s? Fₙₑₜ = 81.37
What is the angle θ of the net force at this same time? Give your answer as a number of degrees counter-clockwise from the +x-axis.
θ = .......
Incorrect
To find the angle θ of the net force at time t = 6.87 s, we need to first find the x and y components of the net force, and then use the inverse tangent function to find the angle.
The x component of the net force is given by:
Fₙₑₜ,ₓ = m aₓ = (8.50 kg)(0.43 m/s² + 0.79 m/s³(6.87 s)) = 3.63 N
The y component of the net force is given by:
Fₙₑₜ,ᵧ = m aᵧ = (8.50 kg)(11.9 m/s² - 0.63 m/s³(6.87 s)) = 92.52 N
The magnitude of the net force is given by:
|Fₙₑₜ| = sqrt(Fₙₑₜ,ₓ² + Fₙₑₜ,ᵧ²) = sqrt(3.63² + 92.52²) = 92.67 N
The angle θ of the net force is given by:
θ = tan⁻¹(Fₙₑₜ,ᵧ / Fₙₑₜ,ₓ) = tan⁻¹(92.52 N / 3.63 N) = 86.5°Therefore, the angle θ of the net force at time t = 6.87 s is approximately 86.5° counter-clockwise from the +x-axis.
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