The price to rent a bike for 2 hours is $25.
The given formula for the price, p, in dollars, to rent a bike for h hours is p = 5h + 15.
We are to find the price to rent a bike for 2 hours.
Substitute h = 2 into the formula p = 5h + 15 to find the price to rent a bike for 2 hours.
p = 5(2) + 15p
= 10 + 15p
= 25
Therefore, the price to rent a bike for 2 hours is $25.
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Which of the three equations have infinitely many solutions?
Answer:
I need to know the questions luv.
Step-by-step explanation:
Answer:
Solving the three equations in part A showed that two equations have one solution and one equation has no solution. So, no equations have infinitely many solutions.
Step-by-step explanation:
Classify the following scenarios as one-sided or two-sided tests.
one-sided hypothesis test
test whether incoming students at a business school receive better grades in their classes if they've taken an on-line program covering basic material
test whether there is a difference between men's and women's usage of a mobile fitness app
two-sided hypothesis test
test whether the number of listeners of a streaming music service has changed after they changed the user interface
test whether users of a commercial website are less likely to make a purchase if they are required to set up a user account on the site
One-sided hypothesis test: Incoming students' grades based on the online program.
Two-sided hypothesis test: Men's and women's usage of mobile fitness app, listeners of a streaming music service based on user intappserface change, and users of a commercial website making a purchase based on user account requirement.
We have,
Classifying the scenarios as one-sided or two-sided tests:
One-sided hypothesis test:
Test whether incoming students at a business school receive better grades in their classes if they've taken an online program covering basic material.
Two-sided hypothesis test:
Test whether there is a difference between men's and women's usage of a mobile fitness app.
Two-sided hypothesis test:
Test whether the number of listeners of a streaming music service has changed after they changed the user interface.
One-sided hypothesis test:
Test whether users of a commercial website are less likely to make a purchase if they are required to set up a user account on the site.
Thus,
One-sided hypothesis test: Incoming students' grades based on the online program.
Two-sided hypothesis test: Men's and women's usage of mobile fitness app, listeners of a streaming music service based on user intappserface change, and users of a commercial website making a purchase based on user account requirement.
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can someone helpppp please I’m struggling!!
2: The only contents of a bag are 4 red balls and 6 blue balls. What is the probability that two balls drawn at random from the bag will be red if the
To calculate the probability of drawing two red balls from the bag, we need to consider the total number of possible outcomes and the number of favorable outcomes.
Total number of possible outcomes: When drawing two balls at random without replacement, the total number of possible outcomes is given by the combination formula:
Total outcomes = (10 choose 2) = 10! / (2!(10-2)!) = 45
Number of favorable outcomes: We want to draw two red balls, and there are 4 red balls in the bag. The number of ways to choose 2 red balls from 4 is given by:
Favorable outcomes = (4 choose 2) = 4! / (2!(4-2)!) = 6
Now, we can calculate the probability:
Probability = Favorable outcomes / Total outcomes = 6 / 45 ≈ 0.1333
Therefore, the probability of drawing two red balls from the bag is approximately 0.1333 or 13.33%.
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Simplify √-24 usingimaginary i
Given:
\(\sqrt{-24}\)Apply the laws of exponents:
\(=\sqrt{-1}\sqrt{24}\)Apply the properties of imaginary numbers:
\(i\sqrt{24}\)Rewrite in standard complex form:
\(2\sqrt{6}i\)Answer:
\(2\sqrt{6}\text{ i}\)A product is currently made in a process-focused shop, where fixed costs are $9000 per year and variable cost is $50 per unit. The firm is considering a fundamental shift in process, to repetitive manufacture. The new process would have fixed costs of $90,000, and variable costs of $5. What is the crossover point for these processes?
Every year, 1800 units crossover point. The process focus is less expensive for volumes over 1800.
What is the crossover point?When all tax credits have been used up by a limited partnership and the limited partners are left with a tax burden, that moment is known as the crossover point.
When both projects have positive values, the crossover point is formed by the intersection of two IRR curves.
The weighted average cost of capital, also known as the crossover rate, is the rate of return at which the net present values (NPV) of two projects are equal.
The rate of return at which the net present value profiles of two projects cross each other is what this term denotes.
So, annual crossover sales are 1800 units.
Process emphasis is less expensive and less important for volumes under 1800 units; repeated manufacturing concentration is less expensive and less important for volumes exceeding 1800 units.
Fixed cost ÷ variable cost
$90000÷50 =$1800
$9,000÷5=$1800
Therefore, every year, 1800 units cross over. The process focus is less expensive for volumes over 1800.
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Correct question:
A product is currently made in a process-focused shop, where fixed costs are $9,000 per year and variable costs are $50 per unit. The firm is considering a fundamental shift in process, to repetitive manufacturing. The new process would have fixed costs of $90,000, and variable costs of $5. The cross over is at 1800 units annually. for volumes over 1800, the process focus is cheaper.
A Normality Check was conducted for a data set. The conclusion is that the data are from a normal distribution. The equation of the straight line that are closest to the data is given as
y=0.918x-0.175.
Find the estimated population mean.
a) 0
b) -0.175
c) 0.918
d) sqrt(0.918)
To find the estimated population mean from the given equation, we will use the fact that the data are normally distributed. The equation provided is a linear equation that represents the best-fit line for the data:
y = 0.918x - 0.175. The correct option is B.
Since the data follows a normal distribution, the mean will be located at the point where the line is at its highest. In a normal distribution, the peak (or the highest point) occurs when the probability density is the greatest. In the case of the given linear equation, this peak corresponds to the y-intercept, which is the point where the line crosses the y-axis (when x = 0).
Plugging x = 0 into the equation:
y = 0.918(0) - 0.175
y = -0.175
Thus, the estimated population mean is -0.175.
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we assume that with a linear relationship between two variables, for any fixed value of x, the observed ________ follows a normal distribution.
We assume that with a linear relationship between two variables, for any fixed value of x, the observed residuals follows a normal distribution.
This assumption is based on the Central Limit Theorem, which states that when the sample size is large enough, the distribution of sample means will be approximately normal, regardless of the shape of the underlying population distribution.
In the case of a linear relationship between two variables, we can assume that the residuals (the difference between the observed y values and the predicted values based on the linear regression model) follow a normal distribution with mean 0 and constant variance. This assumption is important because it allows us to use statistical methods that rely on normality, such as hypothesis testing and confidence intervals.
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What percentage of total hours were spent skiing?
Soccer 5
Jogging 20
walking 10
skiing 5
football 10
Answer:
10%
Step-by-step explanation:
5/50=x/100
5×100=500
500/50=10
x=10
10%
Percentage of total hours were spent skiing is 10%
What is the percentage?Percentage is defined as a relative value indicating 100th parts of any quantity. It is denoted by symbol of %.
Given that,
Soccer = 5 hours
Jogging =20 hours
Walking =10 hours
Skiing = 5 hours
Football = 10 hours
Total hours were spent all activity = 5+20+10+5+10=50
Let, percentage of total hours were spent skiing = x
5/50=x/100
5×100=500
500/50=10
x=10
Hence Percentage of total hours were spent skiing is 10%
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Please answer I will mark the brainiest answer :)
Factorise 3x^2 + 5x + 2
Answer:
(3x+2)(x+1)
Step-by-step explanation:
Answer:
( x + 1 ) × ( 3x + 2 )
Step-by-step explanation:
3x^2 + 5x + 2
Rewrite the expression
3x^2 + 5x + 2
Write 5x as a sum
3x^2 + 3x + 2x + 2
Factor out the 3x from the expression
3x x ( x + 1 ) + 2x + 2
Factor out 2 from the expression
3x x ( x + 1 ) + 2 ( x + 1 )
Factor out x + 1 from the expression
( x + 1 ) × ( 3x + 2 )
Therefore, the answer is ( x + 1 ) × ( 3x + 2 )
A ladder that is 21 feet long is propped against a building. The bottom of the ladder was placed 4 feet from the base of the building. How high up on the building does the ladder reach? Round the answer to the nearest tenth of a foot
Answer:
20.62 feet
Step-by-step explanation:
The ladder propped against a building forms a right angle triangle
Height of the ladder (hypotenuse) = 21 feet
Base of the ladder from the building (adjacent) = 4 feet
Height of the building (opposite) = x feet
Hypotenuse ² = opposite ² + adjacent ²
21² = x² + 4²
21² - 4² = x²
441 - 16 = x²
425 = x²
x = √425
= 20.62 feet
Answer: 20.62 ft or rounding it to 20.6 ft
Step-by-step explanation:
Can anyone help with Qs 22-25 pls !!
Or the ones you can do
Answer:
24 is C and 25 is B , ill try and do the other questions if u need me to explain 24 and 25 lmk!
Determine the horizontal, vertical, and slant asymptotes: y=x2+2x-3/x-3
Answer:
vertical asymptote: x = 3
slant asymptote: y = x+5
Step-by-step explanation:
You want the vertical and slant asymptote of the graph of the rational function ...
y = (x² +2x -3)/(x -3)
QuotientUsing synthetic division (see the first attachment), we find the quotient to be (x+5) and the remaining rational function term to be 12/(x-3).
Vertical asymptoteThere is a vertical asymptote at the value of x where the denominator is zero: x = 3.
Slant asymptoteThe slant asymptote is the polynomial part of the quotient:
y = x +5
The asymptotes are the orange dashed lines in the second attachment.
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Ann had 96 filers to post around town. Last week, she posted 1/4 of them. This week, she posted 1/3 of the remaining filers. How many filers has she still not posted
Answer:
48 [fliers]
Step-by-step explanation:
Ann starts with 96 fliers. After she posts 1/4 of them, she will have 3/4*96=72 fliers left. She now has 72 remaining flyers. After posting 1/3 of these, she will have 2/3*72=48 fliers left.
PLEASE HURRY!
2 1/3 divided by 2/5
Answer:
35/6
Step-by-step explanation:
Turn to 2 1/3 improper fraction
6+1=7/3
Dividing is multiplying by the reciprocal
7/3*5/2
7*5/3*2
35/6
Write the word sentence as an equation.
t less than 5 is 12
Answer:
t-5=12
Step-by-step explanation:
Solve the system using substitution: {y=5x-21 y=-7x+15
Answer:
code lazar
Step-by-step explanation:
Dora rents a party room for $70. She pays $5 per guest for
party favors. The expression 70+5g represents the total
cost for a party with g guests. Find the total cost for a party
with 9 guests.
Answer: $115
Step-by-step explanation:
From the question, we are informed that the expression that represents the total cost for a party with g guests was given as:
= 70 + 5g
Therefore, the total cost for a party
with 9 guests will be:
= 70 + 5g
= 70 + 5(9)
= 70 + 45
= $115
Find the percent change. Round to the nearest tenth of a percent when necessary.
From 33 to 34.
Answer:
3.03%
Step-by-step explanation:
Given the following question:
\(\frac{34-33}{33} \times100=34-33=1\div33=0.0303030303\times100=3.0303030303\)
\(3.0303030303\)
\(0<5\)
\(3.03\)
33 to 34 is a "3.03 percent increase."
Hope this helps.
Graph the systems of equations.
Answer:
Step-by-step explanation:
Britany is bringing birthday cake and cookies to her office. She has already spent $10.00 on the cake. Cookies cost $0.70 each, and she does not wish to spend more than $34.50 for all desserts. If x represents the number of cookies she can buy, which of the following inequalities symbolizes this situation?
A.
$10.00x + $0.70 < $34.50
B.
$0.70x + $10.00 < $34.50
C.
$0.70x + $10.00 < $34.50
D.
$10.00x + $0.70 < $34.50
Considering the definition of an inequality, the correct answer is option C. the inequiality $0.70x + $10.00 < $34.50 symbolize this situation
Definition of inequalityAn inequality is the existing inequality between two algebraic expressions, connected through the signs:
greater than >.less than <.less than or equal to ≤.greater than or equal to ≥.The solution of an inequality is the set of numbers that make the inequality true.
Inequality in this caseIn this case, you know that:
Britany has already spent $10.00 on the cake. Cookies cost $0.70 each. She does not wish to spend more than $34.50 for all desserts.Being "x" the number of cookies Britany can buy, the inequality that expresses the previous relationship is
10 + 0.70x <34.50
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Find the first and second derivative and draw the function for f(x)= 12x/4x²+3Show FULL steps for first and second derivative
The first derivative of f(x) is (-36x^2 + 144)/((4x^2 + 3)^2) and the second derivative is (288x(3 - 4x^2))/((4x^2 + 3)^3). The graph of f(x) has a vertical asymptote at x = 0 and a horizontal asymptote at y = 0. The function has a critical point at x = √(3/4) and a relative maximum at that point.
We can start by using the quotient rule to find the first derivative
f(x) = 12x / (4x² + 3)
f'(x) = [(4x² + 3)(12) - (12x)(8x)] / (4x² + 3)²
= (48x² + 36 - 96x²) / (4x² + 3)²
= (-48x² + 36) / (4x² + 3)²
To find the second derivative, we use the quotient rule again
f''(x) = [((4x² + 3)²)(-96x) - (-48x² + 36)(2(4x)(8x))] / (4x² + 3)⁴
= (-384x³ - 576x) / (4x² + 3)⁴
To draw the function, we can use the first and second derivatives to analyze its behavior. Note that the denominator, 4x² + 3, is always positive, so the sign of the function will be determined by the numerator
f'(x) is negative when -√(3/4) < x < 0 and positive when 0 < x < √(3/4), so f(x) is decreasing on the interval (-∞, -√(3/4)) and increasing on the interval (√(3/4), ∞). The function has a relative minimum at x = 0.
f''(x) is negative when x < 0 and positive when x > 0, so the function is concave down on the interval (-∞, 0) and concave up on the interval (0, ∞). Combining these results, we can sketch the graph of f(x).
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The school is 3.64 miles from Tonya's house and 1.27 miles from Jamal's house. How much farther from school is Tonya's house than Jamal's house? Complete the explanation on how you can use a quick picture to solve the problem.
Answer: Tonya's house is 2.37 miles farther from the school than Jamal's house.
Step-by-step explanation: To solve this problem using a quick picture, we can draw a line segment to represent the distance from the school to Tonya's house, and another line segment to represent the distance from the school to Jamal's house. We can then use a ruler to measure the length of each line segment and subtract the length of the line segment representing the distance to Jamal's house from the length of the line segment representing the distance to Tonya's house.
For example, if we draw a line segment that is 3.64 inches long to represent the distance from the school to Tonya's house and a line segment that is 1.27 inches long to represent the distance from the school to Jamal's house, then we can use a ruler to measure the lengths of the line segments and find that the line segment representing the distance to Tonya's house is 3.64 - 1.27 = 2.37 inches longer than the line segment representing the distance to Jamal's house. This means that Tonya's house is 2.37 miles farther from the school than Jamal's house.
Find the measure of the arc.
C
D
A
1469
E
B
MAB = [ ? ]°
Answer:
146 since the angle is a central that its measure is equal to the arc
if you have minimums and maximums that are far away (several standard deviations away from the mean) from the rest of the data observations, medians would be the best measure of central tendency?
Yes, if you have minimums and maximums that are several standard deviations away from the rest of the data observations, medians would be the best measure of central tendency.
Having minimums and maximums that are far away (several standard deviations away from the mean) from the rest of the data observations, medians would be the best measure of central tendency. This is because, when there are outliers or extreme values in a dataset, the mean can be influenced and it may not be an accurate representation of the central tendency.
However, the median is not affected by extreme values or outliers since it only depends on the middle value of the dataset. Therefore, if the dataset has outliers, it is better to use the median as a measure of central tendency to provide a more accurate representation of the data.
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what is the volume of this sphere? Use a 3.14 and round your answer to the nearest hundredth. cubic feet Submit Work it out Not feeling ready yet? This Area of circles 47)
Answer:
4.19 cubic feet
Step-by-step explanation:
Let f (x) = 1/ x-3and g(x) = x+5. What is the domain of (fºg)(x)?
Answer:
I can't find that file. please give it again.
Please all the steps, one by one! How can this be solved?
There are 5 full square and 6 triangles that are half squares.
5 + (6)(1/2) = 5 + 3 = 8
You could also break this into smaller shapes (like a big triangle on the top and a smaller triangle and rectangle on the bottom and use area formulas to calculate the area. But counting works well in this example.
Answer: 8
Step-by-step explanation:
First you split up this shape into two different shapes, a triangle and trapezoid
Put a line through the coordinates (-2,2) to (-1,2); the top is a triangle and the other is a trapezoid
Area of the trapezoid is A = .5x (base1 + base2) x height
base1 of the trapezoid goes from -4 to -1 which is 3
base2 goes from -2 to -1 which is 1
height is 0 to 2 whcich is 2
A = .5 x (3+1) x 2 = 4
Now area of a triangle is A = .5 x base x height
the base goes from -2 to 2 which is 4
the height goes from 2 to 4 which is 2
A = .5 x (4) x (2) = 4
Area of the Trapezoid + Area of the Triangle = Total Area
4 + 4 = 8
PLEASE HELP me ! I NEED HELP
Answer:
Step-by-step explanation:
Let x = the number of 50-cent increases in the cost of a book rental.
Right now he is renting 38 books per day at $3 per rental. If he raises his price he will lose 4 rentals per increase. The money part of this is:
$3 + .5x = the price per book rental after the increase. That's how much money he will make. The money made is NOT the same thing as the number of rentals. Therefore, they are put into separate expressions.
The number of rentals is:
38 - 4x. This is the number of books he is currently renting minus the number of book rentals he will lose per price increase. Putting those 2 expressions together and multiplying them will give you the end result of this increase in price.
(3 + .5x)(38 - 4x) = 114 - 12x + 19x - 2x², or putting it in descending powers of x and combining like terms:
-2x² + 7x + 114
3x^2-12x-15 what’s the minimum value ?
the answer to your math question is (−2,−27)
Answer:
(-2,-27)
Step-by-step explanation:
use the formula
x = b/2a
to find the maximum and minimum