Answer:
32 divided by 5 is 6.4
Step-by-step explanation:
hope this helps!
In May, Ali was charging
$20 for individual
basketball lessons and in
August started charging
$25. What percent did
she increase her prices?
Answer:
25%
Step-by-step explanation:
25 - 20 = 5
20/4 = 5
100 / 4 = 25
Answer:
20+25%=25% Ali Has increased 25%
Colin invest $600 at a rate of 1.5% per year compound interest. Calculate he has after 8 year
Colin will have a total amount of $ 675.90 with Colin.
Compound interest:
The interest charged on a loan or deposit is known as compound interest. It is the idea that we used the most frequently on a daily basis. Compound interest is calculated for an amount based on both the principal and cumulative interest.
The formula for compound interest is given by
A = P (1 + r/n)^ntHere we have
Colin invests $600 at a rate of 1.5% per year compound interest for 8 years
Here principal amount, p = $ 600
Rate of interest, r = 1.5% =
Number of compounds per year = 1
Time period, t = 8
By the Compound interest formula A = P (1 + r/n)^nt
A = 600( 1 + 0.015/1)⁽¹⁾⁽⁸⁾
A = 600(1.015)⁸
A = $675.90
Therefore,
Colin will have a total amount of $ 675.90.
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The origin of a ray can also be called an
A ray consists of a line and a point A on it. A is called the initial point of the ray, being this the origin of the ray. The answer is 'initial point'
a bus comes by every 14 minutes. the times from when a person arives at the busstop until the bus arrives follows a uniform distribution from 0 to 14 minutes. a person arrives at the bus stop at a randomly selected time. round to 4 decimal places where possible.
a) The mean of this distribution is 7 min
b) The standard deviation is 4.0414 min
a) The mean is the midpoint between the ends or 7 min
variance is (b-a)^2/12 or 196/12 or 16.3333 min
b) standard deviation is sqrt(V)= 4.0414 min
the complete question is
a bus comes by every 14 minutes. the times from when a person arives at the bus stop until the bus arrives follows a uniform distribution from 0 to 14 minutes. a person arrives at the bus stop at a randomly selected time. round to 4 decimal places where possible.
a) The mean of this distribution is
b) The standard deviation is
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ye dat's all there is
Answer: It $7.80 per hour
Hi hi
Step-by-step explanation:
if 10 shirts cost $80, what is the unit rate (the cost of 1 shirt)?
Answer:
Each shirt is $8
Step-by-step explanation:
80÷10 = 8
Answer:
$8
Step-by-step explanation:
Form your equation, there are 10 shirts at x price, and they equal $80:
10x = $80
solve for x by dividing both sides by 10
10x/10 = $80/10
x = $8
Find the angle between vector bold lower u equals 3 bold lower I plus start root 3 end root bold lower j and vector bold lower v equals negative 2 bold lower I minus 5 bold lower j to the nearest degree. A. 82° B. 38° C. 142° D. 98°
Answer:
C. 142°
Step-by-step explanation:
You want the angle between vectors u=3i+√3j and v=-2i-5j.
AngleThere are a number of ways the angle between the vectors can be found. For example, the dot-product relation can give you the cosine of the angle:
u•v = |u|·|v|·cos(θ) . . . . . . where θ is the angle of interest
You can find the angles of the vectors individually, and subtract those:
u = |u|∠α
v = |v|∠β
θ = α - β
When the vectors are expressed as complex numbers, the angle between them is the angle of their quotient:
\(\dfrac{\vec{u}}{\vec{v}}=\dfrac{|\vec{u}|\angle\alpha}{|\vec{v}|\angle\beta}=\dfrac{|\vec{u}|}{|\vec{v}|}\angle(\alpha-\beta)=\dfrac{|\vec{u}|}{|\vec{v}|}\angle\theta\)
This method is used in the calculation shown in the first attachment. The angle between u and v is about 142°.
A graphing program can draw the vectors and measure the angle between them. This is shown in the second attachment.
__
Additional comment
The approach using the quotient of the vectors written as complex numbers is simply computed using a calculator with appropriate complex number functions. There doesn't seem to be any 3D equivalent.
The dot-product relation will work with 3D vectors as well as 2D vectors.
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Find The midpoint of the segment with the given endpoints.
(10,3) and (6,-3)
Answer:
Step-by-step explanation:
You can use the midpoint formula: \(\frac{ChangeInX}{2} ,\frac{ChangeInY}{2}\)
So, the Change In X is: 10 - 6= 4
And the Change in Y is: 3 - (-3) = 6
Once you divide both of the changes by 2, you get
X: 2
Y: 3
So the midpoint is: (2,3)
Find the midpoint, M, of AB.
A = (2,-3) B=(4,5)
The cοοrdinates οf the mid pοint M οf the line segment AB are ( 3,1 ) .
What are the midpοints οf a given line segment?A midpοint οf a line segment is the pοint οn a segment that bisects the segment intο twο cοngruent segments. In οther wοrds, The midpοint is halfway between the twο end pοints.
Fοr the given line segment AB with cοοrdinates as (2, -3) and (4, 5) οf A and B respectively.
x₁ = 2 y₁ = -3 (Cοοrdinates οf A)
x₂ = 4 y₂ = 5 (Cοοrdinates οf B)
Midpοint οf a line segment = [ (x₁ + x₂ ) / 2 ; (y₁ + y₂) /2 ]
= [ (2 +4) /2 ; (-3 + 5) / 2 ]
= [ 6/2 ; 2/2 ]
= (3,1)
=> Thus, the cοοrdinates οf M are (3,1).
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True or False A vector in space may be described by specifying its magnitude and its direction angles.
True. A vector in space can be described by specifying its magnitude and its direction angles. The magnitude of a vector represents its length or size, while the direction angles determine the orientation of the vector with respect to a reference axis system.
In three-dimensional space, a vector can be decomposed into its components along the x, y, and z axes. By using trigonometric functions, the direction angles of the vector can be determined. The direction angles are typically measured with respect to the positive x-axis, the positive y-axis, and the positive z-axis.
Once the magnitude and direction angles of a vector are known, the vector can be fully described. This description allows for precise calculations and analysis of vector quantities, such as displacement, velocity, and force, in various physical and mathematical contexts.
It's worth noting that there are alternative ways to describe vectors, such as using Cartesian coordinates or unit vectors. However, specifying the magnitude and direction angles provides a convenient and comprehensive representation of a vector in space.
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A pendulum swings 80cm on its first swing,76cm on its second swing, 72.2 cm on its third swing, and 68.59 cm on its fourth swing what is the distance of the swing at the tenth swing?
The distance of the swing of a pendulum decreases by a constant amount each swing. To find the distance of the swing at the tenth swing, you can use the formula:
distance at nth swing = distance at first swing * (1 - decay factor)^(n-1)
Where decay factor is the fractional decrease in distance per swing. In this case, the decay factor is (80 - 76) / 80 = 0.05. Plugging this into the formula above, we get:
distance at 10th swing = 80 * (1 - 0.05)^9 = 53.78 cm
So the distance of the swing at the tenth swing is approximately 53.78 cm.
Factories this problem
Answer:
This expression has no factors
Step-by-step explanation:
You can't factorize it because it has no factors.
If 14 were sqrt-able then there would have been a factor
hi everyone help my math pls
show ur solutions
On solving the provided question, we can say that - the area of the provided circle is A = \(113.04 cm^2\)
What is circle?Every point in the plane that is a certain distance away from a certain point forms a circle (center). It is, thus, a curve formed by points moving in the plane at a fixed distance from a point. At every angle, it is also rotationally symmetric about the center. A circle is a closed two-dimensional object where every pair of points in the plane are equally spaced out from the "center." A line that goes through the circle creates a specular symmetry line. At every angle, it is also rotationally symmetric about the center.
here,
radius, r = 6 cm
Area of circle = \(\pi X r^2 = 3.14 X 6 X 6 \\\)
A = \(113.04 cm^2\)
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Statistically, 6s performance produces fewer than _____ defects per million opportunities for an error for defect. a)5.6 b)6 c)3.4 d)4
Statistically, 6s performance produces fewer than 5.6 defects per million opportunities for an error for the defect.
To determine the answer, we need to understand the concept of defects per million opportunities (DPMO). DPMO is a measure used to quantify the number of defects in a process per one million opportunities for an error or defect to occur.
In this case, we are given that 6s performance produces fewer than a certain number of defects per million opportunities. The question is asking for the maximum allowable value for defects per million opportunities.
Since the question is asking for the maximum allowable value, we need to choose the highest option among the given choices. Among the options provided, option a) 5.6 is the highest value.
Therefore, the answer is a) 5.6, as it represents the maximum allowable number of defects per million opportunities for 6s performance. This means that the process is expected to have fewer than 5.6 defects for every one million opportunities for an error or defect to occur.
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Elina has a gpa given in cell g6. If elina has a gpa greater than 3. 0, then she is in good standing. If elina has a gpa less than or equal to 3. 0, but greater than 2. 0, then she is in ok standing. Otherwise, she is in bad standing. The result should only show either good standing, ok standing or bad standing. Which formula correctly shows this?.
Elina's GPA is greater than 2.0. If this condition is met, the formula returns "OK standing". If neither of the conditions is met, the formula returns "Bad standing".
To determine Elina's standing based on her GPA, you can use the following formula:
=IF(G6 > 3.0, "Good standing", IF(G6 > 2.0, "OK standing", "Bad standing"))
In this formula, we use the IF function to evaluate different conditions. The first condition checks if Elina's GPA (in cell G6) is greater than 3.0. If it is, the formula returns "Good standing". If the first condition is not met, it moves to the second condition, which checks if Elina's GPA is greater than 2.0. If this condition is met, the formula returns "OK standing". If neither of the conditions is met, the formula returns "Bad standing".
By using nested IF statements, we can evaluate multiple conditions and return the corresponding standing based on Elina's GPA.
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Phillip has 9 pencils, 6 pens, and 5 markers. In ratio form, what is the percent of writing utensils that are pens or markers?
25/100
30/100
55/100
75/100
Answer:
55/100 Because 55/100=9/11
Step-by-step explanation:
There plz help me is my last question and assignment
Answer:
I believe Jamal is correct, because he is just doing it an easy way. Instead of converting the mixed number to an improper fraction he is adding the measurements step by step.
Hope it Helps!
:)
Ple answer if you can! ASAP
Charlie graphs the equation y= –12x+2
Select all statements about Charlie's graph that are true.
a.The graph is a straight line.
b.The line does not pass through the origin.
c.The line passes through the point (0, –2).
d.The slope of the line is 1/2.
e.The y-intercept of the line is 2.
Answer:
Step-by-step explanation:
The answer is a,b, and e
This equation is in the form of y=Mx+b where b is the y intercept and m is the slope.
a comprehensive report called the statistical report on the health of canadians was produced in 1999. in it was reported that 42% of canadians, 12 years of age or older, had their most recent eye examination within the previous year. if a sample of 100 individuals, 12 years of age or older, were selected at random from the canadian population, we could use the normal distribution to approximate the probability that more than 38 of the sampled people had their most recent eye examination in the previous year because
The probability that more than 38 of the sampled people had their most recent eye examination in the previous year, using the normal distribution approximation, is approximately 0.1922.
To solve this problem, we can use the normal approximation to the binomial distribution. Here are the steps:
1. Identify the relevant information from the question:
- In the statistical report, it was reported that 42% of Canadians, 12 years of age or older, had their most recent eye examination within the previous year.
- We have a sample of 100 individuals, 12 years of age or older, selected at random from the Canadian population.
2. Calculate the mean and standard deviation for the binomial distribution:
- The mean (μ) of a binomial distribution is given by n * p, where n is the sample size and p is the probability of success.
- In this case, the sample size (n) is 100, and the probability of success (p) is 0.42.
- So, the mean (μ) is 100 * 0.42 = 42.
- The standard deviation (σ) of a binomial distribution is given by √(n * p * (1 - p)).
- Using the same values for n and p, the standard deviation (σ) is √(100 * 0.42 * 0.58) ≈ 4.58.
3. Convert the problem into a standard normal distribution:
- We want to find the probability that more than 38 of the sampled people had their most recent eye examination in the previous year.
- To convert this into a standard normal distribution, we need to calculate the z-score.
- The z-score is given by (x - μ) / σ, where x is the number of successes.
- In this case, x = 38, μ = 42, and σ ≈ 4.58.
- So, the z-score is (38 - 42) / 4.58 ≈ -0.87.
4. Find the probability using a standard normal distribution table or calculator:
- We want to find the probability of having more than 38 successes, which is equivalent to finding the probability to the right of the z-score of -0.87.
- Using a standard normal distribution table or calculator, we can find that the probability to the right of -0.87 is approximately 0.8078.
- However, we are interested in the probability of more than 38 successes, so we need to subtract this probability from 1.
- Therefore, the probability that more than 38 of the sampled people had their most recent eye examination in the previous year is approximately 1 - 0.8078 ≈ 0.1922.
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2. The Biology club budgeted $200 for their pancake breakfast. Each meal costs $1.50 to prepare. Write an inequality that represents the number of meals that can be prepared without going over budget. What is the maximum number of meals that the biology club can prepare for $200?
Answer:
$1.00
Step-by-step explanation:
Use the exponential growth model, y(t) = yo et, to find the time it takes a population to quadruple (to grow from yo to 4y). t= (Simplify your answer.)
The time it takes for a population to quadruple can be found using the exponential growth model as t = ln(4) / r, where r is the growth rate.
How can we determine the time it takes for a population to quadruple using the exponential growth model?The exponential growth model, y(t) = yo * e^(rt), describes the growth of a population over time. In this model, y(t) represents the population size at time t, yo represents the initial population size, and e is the base of the natural logarithm.
To find the time it takes for a population to quadruple (grow from yo to 4y), we need to solve the equation 4yo = yo * e^(rt) for t. By dividing both sides of the equation by yo and taking the natural logarithm of both sides, we can isolate t:
4 = e^(rt)
ln(4) = rt
t = ln(4) / r
Thus, the time it takes for a population to quadruple is given by t = ln(4) / r, where ln represents the natural logarithm and r is the growth rate.
Exponential growth models play a crucial role in various fields such as biology, economics, and population studies. Understanding the dynamics of population growth is essential for predicting and managing resources, estimating future demands, and making informed decisions. The exponential growth model allows us to mathematically represent the rapid increase in population size over time under certain assumptions.
The model assumes that the growth rate, r, remains constant over the entire time period considered. This assumption may not hold true for all populations, as factors like limited resources, competition, and environmental constraints can affect growth rates. However, the exponential growth model provides a useful approximation in situations where growth remains relatively unconstrained.
By utilizing the model's formula, y(t) = yo * e^(rt), we can calculate population size at any given time, t, by knowing the initial population size, yo, and the growth rate, r. In the case of determining the time it takes for a population to quadruple, we rearrange the formula to solve for t, yielding t = ln(4) / r.
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Jalisa earned $71. 25 today babysitting, which is $22. 50 more than she earned babysitting yesterday. The equation d 22. 50 = 71. 25 can be used to represent this situation, where d is the amount Jalisa earned babysitting yesterday. Which is an equivalent equation that can be used to find the amount Jalisa earned babysitting yesterday? 71. 25 minus 22. 50 = d 71. 25 22. 50 = d d 71. 25 = 22. 50 d minus 22. 50 = 71. 25.
The equivalent equation that can be used to find the amount Jalisa earned babysitting yesterday is d = 71.25 - 22.50.
To find the amount Jalisa earned babysitting yesterday, we need to subtract the additional amount she earned today from her total earnings. The equation given, d + 22.50 = 71.25, represents the relationship between the amount she earned yesterday (d) and the total amount she earned today (71.25).
To rearrange the equation and isolate the value of d, we can subtract 22.50 from both sides of the equation. This gives us d + 22.50 - 22.50 = 71.25 - 22.50. Simplifying, we get d = 71.25 - 22.50.
Thus, the equivalent equation that can be used to find the amount Jalisa earned babysitting yesterday is d = 71.25 - 22.50. By substituting the values into this equation, we can calculate that Jalisa earned $48.75 babysitting yesterday.
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If we are testing for the difference between the means of two paired populations with samples of n20 and n20, what is the number of degrees of freedom?.
The number of degrees of freedom is 19.
What is the Degree of freedom?The largest number of logically independent values—that is, values with the freedom to change—in the data sample is referred to as the degree of freedom. When calculating degrees of freedom, one is subtracted from the total number of items in the data sample.Given:
sample size of first sample, n₁ = 20
sample size of second sample, n₂ = 20
Counts of differences between the paired observations of the two groups are used to calculate the degrees of freedom of two related populations.
In paired data, n = n1 = n2 means that there are the same number of observations in each group.
Here we have n = n₁ = n₂= 20
Degree of freedom is,
df = n - 1
= 20 - 1
= 19
Hence, the number of degrees of freedom is 19 when the sample size is 20.
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Round 25.395 to the nearest hundredths.
Answer:
25.40
Step-by-step explanation:
Answer:
25.40
Step-by-step explanation:
5 rounds up but 9 rounds up to ten so you add one to the tenths
Chris has a job selling newspapers every morning. He received a base pay of $7.45 a day and also gets 15 cents for every paper he sells. One morning he made $16.45. How many papers did he sell?
browns books are 2 for $11 and noble books are 5 for $31 who’s is cheaper
Therefore , the solution of the given problem of unitary method comes out to be Browns books are less expensive than Noble books at $5.50 each.
What is unitary method ?Take the lengths of this minute subsection and split the sum by two to complete a task using a unitary variable technique. The unit technique, in a nutshell, removes a wanted item both from the specific sets and color subsets. For instance, 40 pencils will cost Rs/kg ($1.01). It's possible that one country will have total influence over the approach taken to accomplish this. Almost every living creature has a distinctive quality. There are unanswered questions and changes (mathematics, algebra).
Here,
We must ascertain the price per book for each retailer in order to evaluate the costs of Browns and Noble books.
Two of Brown's books cost $11, so each volume costs $5.50 (11/2 = 5.50).
Five novels from Barnes & Noble cost $31, making each book $6.20 (31/5 = 6.20).
Browns books are less expensive than Noble books, which cost $6.20 per volume, at $5.50 each.
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Jake had 23 apple he game 9 to his ex girlfriend and he devide the rest into 2 bros how many do he have left
Answer:X×2+9=23
Step-by-step explanation:2x+9=23
2x=23-9
=14
X=14/2
=7( he gave to his bros)
But since he gave all the apples to his ex and brothers he probably doesn't have any left
Mark me as Brainliest if I'm right (though I doubt it )
Solve for m.
−2.4(m−5/6)=−5
Enter your answer as a simplified mixed number in the box.
m = plzzzzzzz helpppppp meee i willl give you all my points
Answer:
2 11/12
Step-by-step explanation:
This is what I got for the answer in the test.
The value of m in the given equation would be; m = 2.91
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We need to find the value of m.
This equation could also be given by;
−2.4(m−5/6)=−5
Distribute the negative;
−2.4(m−5/6)=−5
- 2.4m + 2.4 x 5/6 = -5
Now we get;
- 2.4m = -5 - 2
- 2.4m = -7
m = 2.91
Hence, the value of m in the given equation would be; m = 2.91
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LOOK AT THE IMAGE ABOVE!
Can someone please do this for me. I literally don’t understand what this is. (I’ll give 20 points) DO NOT ANSWER IF YOU DONT KNOW OR DONT SHOW STEPS! I will REPORT you!
PLEASE SOMEONE HELP!!
Answer:
1a. Angle E is 15 because the three angles must equal 180 degrees
1b. x= 12, so angle D would be 50 degrees
1c. The triangle is an equilateral triangle
2a. y=-2/3 + 4
2b. It is perpendicular because the slope is negative reciprocal
2c. You can draw the line, but the equation is
y= x/2 + 5
2d. y= -2x + 11
why couldn't Pythagoras use the pythagorean theorem as we know it?
Pythagoras was an ancient Greek mathematician who founded the Pythagorean school of thought. The Pythagorean theorem is a fundamental concept in mathematics that is attributed to Pythagoras and his followers.
It states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. While this theorem is considered a cornerstone of mathematics today, it is important to understand that Pythagoras did not have access to the advanced mathematical tools and methods that we have today.
He had to rely on geometric constructions and reasoning to prove his theorem. Furthermore, Pythagoras believed that all numbers could be expressed as ratios of whole numbers, which is not always true in reality. Despite these limitations, the Pythagorean theorem has stood the test of time and continues to be a crucial tool in mathematics and other fields.
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