If we want to know how many songs are in the playlist, what we have to do is add up all the songs of each of the genres:
\(\begin{gathered} \text{hiphop}\to31 \\ \text{rock}\to44 \\ \text{popular}\to13 \end{gathered}\)\(31+44+13=88\)In total the playlist has 88 songs
3. A seed company says that 4 out of every 5 of its seeds grow. If Nat
planted 10 of the seeds, how many can he expects to grow?'
O A. 6
O B.7
O C. 8
O 0.9
Answer:
C
Step-by-step explanation:
The answer is C. 8 sorry if its wrong
Answer:
C. 8
Step-by-step explanation:
4 out of every five seeds will grow means 4/5 of them will grow. 10 is times two of 5 so just multiply both numbers by 2. 4/5 times 2 equals 8/10. Eight will grow.
An office store pays a whole price of $120 for a laser printer and sells it for $174. What is the pecent mark up
Answer:
its by 54%
Step-by-step explanation:
because it is raising the price by making money by 54%. and that its using the calculator in any way.
what quadrilateral has exactly two pairs of consecutive angles that are supplementary and none of the opposite angles are congruent?
Answer:
If a quadrilateral is a parallelogram, then consecutive angles are supplementary. If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
Step-by-step explanation:
Please Help Me!!!
The ratio of men to women working for a company is 4 to 3. If there are 161 employees total, how many men work for the company?
Answer:
I dont know
Step-by-step explanation: I hope someone can help you
How can you find the growth when graphing ?
Answer:
The formula used for the average growth rate over time method is to divide the present value by the past value, multiply to the 1/N power and then subtract one. "N" in this formula represents the number of years.
Step-by-step explanation:
A microscope is set so it makes an object appear 4 x 10^2 times larger than its actual size. A virus has a diameter of 2 x 10^-7 meter. How large will the diameter of the virus appear when it is viewed under the microscope?
We know that the actual size of the virus is 2x10^-7 and the scale of microscope is 4x10^2, so we just have to multiply the actual size by the scale:
2x10^-7*4x10^2=8x10^-5 meters
So, the size of the diameter of the virus is 8x10^-5 under the microscope.
A biologist wants to estimate how many fish are in a lake. The biologist takes a sample of 10 fish from the lake and tags all 10 fish. The biologist then releases the fish back into the lake. The nex day, the biologist retums to the lake and takes a sample of 7 fish. Of those fish, 2 of them have tags. Using this information, estimate the number of fish in the lake.
If the nex day, the biologist retums to the lake and takes a sample of 7 fish. Of those fish, 2 of them have tags. The estimated number of fish in the lake is 35 fish.
How to find the estimated number?Let x represent the estimated number of fish in the lake
Hence,
x /10 = 7/2
Cross multiply
2x = 10 × 7
2x = 70
Divide both side by 2x
x =70/2
x = 35 fish
Therefore 35 is the number of fish.
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I write down three consecutive even numbers. Six times the smallest plus two times the largest equals seven times the middle number. Find the three numbers.
please help me and use laws of exponents
Answer:
1/8*1/3^3
1/8*1/27
1/216
Step-by-step explanation:
just bring 3^-3 down then it will be positive.when u do so it will be1/3^3 .
QUESTION 1 PLS HELP ME!!
Answer:
It is D
Step-by-step explanation:
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Indicate, in standard form, the equation or inequality that is shown by the graph.
The equation that is shown by the graph is y = -x + 4
How to determine the equation or inequality that is shown by the graph?From the graph, we have the following observation:
The line of the graph is a straight lineNo parts of the graph are shadedThe above means that the graph represents a linear equation
The points on the graph are
(0, 4) and (4, 0)
Calculate the slope using
m = (y2 - y1)/(x2 - x1)
This gives
m = (0 - 4)/(4 - 0)
Evaluate
m = -1
The linear equation is represented as
y = mx + c
So, we have
y = -x + c
Where c = y, when x = 0
So, we have:
c = 4
This means that
y = -x + 4
Hence, the equation that is shown by the graph is y = -x + 4
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a 10-ft ladder is leaning against a house the basically ladder is 5 ft from the side of the house at what height does the letter touch the house
hello
to slve this question, we need to draw a diagram to illustrate the situation
this would give us a better insight to solve the problem
to solve this question, we would use pythagorean theorem
\(\begin{gathered} \text{hyp}^2=\text{adj}^2+\text{opp}^2 \\ \text{hypothen }=10 \\ \text{adjacent}=5 \\ \text{opposite}=y \end{gathered}\)this can be rewritten as
\(\begin{gathered} x^2=y^2+z^2 \\ x=10 \\ z=5 \\ 10^2=y^2+5^2 \\ 100=y^2+25 \\ \text{collect like terms} \\ y^2=100-25 \\ y^2=75 \\ \text{take the square root of both sides} \\ y=\sqrt[]{75} \\ y=8.66\approx8.7ft \end{gathered}\)the height at which the ladder touches the wall of the house is at 8.7ft
What is the ratio of 6 inches to 2 feet?
Answer:
3
Step-by-step explanation:
Answer:
1 : 4
Step-by-step explanation:
2 feet is 24 inches so we are finding the ratio between
6 and 24
Simplify
1 : 4
What are the unknown angles?
10 points Trapezoid ABCD is similar to trapezoid WXYZ(Pictured Below). Which statement must be true?* 4 B C 10 5 A D N 12.5 W Z WZ is 10 units long CD corresponds to XW O AD is congruent to WZ O AD is corresponding to WZ O None of the above
Given:
The trapezoids ABCD and WXYZ are similar
then looking at the options provided.
side AD corresponds to WZ
Option D is correct
All three sides of a triangle are initially 4 m in length. One of the triangle's sides is oriented horizontally. The triangle is scaled down in size without changing any of the angles. What is the new height of the triangle when the area is exactly half of the original triangle's area
Answer:
the new height of the triangle = 2.449
Step-by-step explanation:
Given that:
the sides of the triangle are 4m in length i.e they are equal. It shows that the triangle is known to be an equilateral triangle.
Let say the triangle is a triangle IJK
Let the length of the side to be i = 4
Definitely
IJ = JK = IK = i = 4
If a midline is drawn and cuts the equilateral triangle in two equal halves of a right-angle triangle. Then, suppose the midline is L
Then ;
\(JL = \dfrac{1}{2} JK\)
\(JL = \dfrac{1}{2} i\)
Let consider triangle IJL
(IL)² = (IJ)² - (JL)²
\((IL)^2 = i^2 - \dfrac{i^2}{4}\)
\((IL)^2 = \dfrac{3i^2}{4}\)
\((IL) =\sqrt{ \dfrac{3i^2}{4}}\)
\(IL =\sqrt{3} \dfrac{i}{2}\)
Area of triangle IJK can be expressed as:
\(Area = \dfrac{1}{2}\times Base \times Height\)
\(Area = \dfrac{1}{2}\times i \times \sqrt{3}\dfrac{i}{2}\)
\(Area = \sqrt{3}\dfrac{i^2}{4}\)
where, i = 4
Then:
\(Area = \sqrt{3}\dfrac{4^2}{4}\)
\(Area = \sqrt{3} \dfrac{16}{4}\)
\(Area =4 \sqrt{3}\)
when the area is exactly half of the original triangle's area, the new height is :
\(A = \dfrac{1}{2} \times Area\)
\(\sqrt{3} \dfrac{i^2}{4} = \dfrac{1}{2} \times 4\sqrt{3}\)
\(\dfrac{i^2}{4} = \dfrac{1}{2} \times 4\)
\(\dfrac{i^2}{4} =2\)
\(i^2 = 8\)
\(i= \sqrt{8}\)
\(i= \sqrt{4 \times 2}\)
\(i= 2 \sqrt{2}\)
Finally, the new height of the new triangle is:
\(IL =\sqrt{3} \dfrac{i}{2}\)
\(IL =\sqrt{3} \dfrac{2 \sqrt{2}}{2}\)
\(IL =\sqrt{3 \times 2}\)
\(IL =\sqrt{6}\)
IL = 2.449 m
A positive real number is 2 more than another. If the sum of the squares of the two numbers is 42, find the numbers.
Answer:
Step-by-step explanation:
From the first sentence x (the number) is 2 more than another number (y). So, x+2=y. The sum of the squares of the two numbers is 42, meaning that \(\\ (x+2)^{2}\)+\(y^{2}\)=42. First, we square root the ENTIRE equation to get rid of the square. If you do one thing to one side, you have to do it to the other. After this, we have x+2+y=\(\sqrt{42}\). Now, we subtract 2 from the other side to isolate the variable. You can isolate either one but normally I go for x. Now we have x+y=\(\sqrt{42}\)+2. Now, we want to get y to the other side so we subtract it from the left side and the right side which gives us x=-y+\(\sqrt{42}\)+2. now we know what X is equal to. Now we plug in x for \(\\ (x+2)^{2}\)+\(y^{2}\)=42, which gives us \((-y+\sqrt42}+2+2)^{2}\)+\(y^{2}\)=42. Now we only have one variable which is what we want. Next, we square root the entire thing to get rid of the squares, which gives us -y+\(\sqrt{42}\)+4+y=\(\sqrt{42}\). I got lost in my work. I must have done something wrong I cant find out. If anyone wants to pick up where I left off go ahead but there's a timer and I have one minute left. I cant finish the problem in a minute. I'm sorry and hopefully I lead you somewhere.
Which statement is true about the relation shown on the graph below?
A)It is not a function because an input has more than one output.
B)It is a function because each output has exactly one input.
C)It is a function because each input has exactly one output.
D)It is not a function because an output has more than one input.
Answer:
b should be the correct one
thank you
Answer:
A. It is not a function because an input has more than one output
Step-by-step explanation:
Every point on the graphed relation besides (0, 0) has more than one output for each input.
Any relation that results in multiple outputs for one input is not a function.
Another way to test if a relation is a function or not is to use the vertical line test, in which you draw a vertical line through the graphed relation and if the vertical line intersects the graph at 2 or more points, the graphed relation is not a function.
:)
The figure shows four box-and-whisker plots. These represent variation in travel time for four different types of transportation from the beginning to the end of one route.
Conrad is at one end of the route. He is trying to decide how to get to an appointment at the other end. His appointment is in 30 minutes. Which type of transportation is LEAST likely to take more than 30 minutes?
Select one:
a.
bus
b.
car
c.
subway
d.
train
Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.
How to Interpret a Box-and-whisker Plot?
In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.
The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.
Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.
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Add or subtract. Th S. 29 + 46
Answer:
Add I think
If there is a plus sign shouldnt it be adding
Scores of an IQ test have a bell-shaped distribution with a mean of and a standard deviation of . Use the empirical rule to determine the following. (a) What percentage of people has an IQ score between and ? (b) What percentage of people has an IQ score less than or greater than ? (c) What percentage of people has an IQ score greater than ? (a) 68% (Type an integer or a decimal.) (b) 32% (Type an integer or a decimal.) (c) 0.15% (Type an integer or a decimal.)
This Question is Incomplete
Complete Question
Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 11. Use the empirical rule to determine the following:
a. What percentage of people has an IQ score between 89 and 111?
b. What percentage of people has an IQ score less than 89 or greater than 111?
c. What percentage of people has an IQ score greater than 133?
Answer:
a) 68%
b) 32%
c) 0.15%
Step-by-step explanation:
The Empirical rule formula:
1) 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .
2)95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
3) 99.7% of data falls within 3 standard deviations from the mean - between μ – 3σ and μ + 3σ .
a. What percentage of people has an IQ score between 89 and 111?
Using :μ - σ , μ + σ
μ = Mean = 100
σ = Standard deviation = 11
μ - σ
100 - 11 = 89
μ + σ
100 + 11 = 111
Hence, from the above calculation, this data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ . Hence, it satisfied the first rule in the Empirical formula.
Therefore, 68% of data falls within 1 standard deviation from the mean.
b. What percentage of people has an IQ score less than 89 or greater than 111?
Using :μ - σ , μ + σ
μ = Mean = 100
σ = Standard deviation = 11
μ - σ
100 - 11 = 89
μ + σ
100 + 11 = 111
Hence, from the above calculation,68% of this data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ . Hence, it satisfied the first rule in the Empirical formula.
But we are told to find the percentage of people that score less than 89 and above 111
100 - 68 = 32%
c. What percentage of people has an IQ score greater than 133?
We apply the third rule of the Empirical rule formula
99.7% of data falls within 3 standard deviations from the mean - between μ – 3σ and μ + 3σ .
μ = Mean = 100
σ = Standard deviation = 11
μ + 3σ
100 + 3(11)
100 + 33
= 133
Since we are to find the percentage greater than 133
Hence: 100 - 99.7%
= 0.3%
The percentage greater than 133(the right hand side)
= 0.3%/2
= 0.15%
the questions in this activity refer back to prelab 0, which would be a good place to look if you need any help. in test a, suppose you make 100 experimental measurements of some quantity and then calculate mean, standard deviation, and standard error of the numbers you obtain. in test b, suppose you make 400 experimental measurements of the same quantity and you again calculate mean, standard deviation, and standard error.
1) Which of the following statements is the most likely description of the comparison of the standard deviations found in Test A and Test B? o The standard deviations found in Test A and Test B will be about the same. o The standard deviation found in Test A will about be twice as big as the standard deviation found in Test B. o The standard deviation found in Test A will about be four times as big as the standard deviation found in Test B. o The standard deviation found in Test B will about be twice as big as the standard deviation found in Test A. o The standard deviation found in Test B will about be four times as big as the standard deviation found in Test A. Submit 2) Which of the following statements is the most likely description of the comparison of the standard errors found in Test A and Test B? o The standard errors found in Test A and Test B will be about the same. o The standard error found in Test A will about be twice as big as the standard error found in Test B. o The standard error found in Test A will about be four times as big as the standard error found in Test B. o The standard error found in Test B will about be twice as big as the standard error found in Test A. o The standard error found in Test B will about be four times as big as the standard error found in Test A. Submit 3) This question and the next one refer to a hypothetical experiment in which you slide red and green blocks down an identical ramp to see how far they go before stopping. After doing three trials of each case you find that the best estimate of the distance slid by red blocks is 15 + 3 feet and that the best estimate of the distance slid by green blocks is 25 + 4 feet. Find the t' parameter for the comparison of the distance slid by red and green blocks. o t' = 2.0 o t' = 2.5 o t' = 3.0 o t' = 3.5 o t' = 4.0 Submit 4) Suppose the experiments described in Question 3 are testing the claim that the distance slid by a block does not depend on the color of the block. Which of the following conclusions regarding this claim is most consistent with your data? o The claim is true. o The claim is false. o The claim might be true or it might be false.
The value of the standard deviation does not change and remains the same.
Given, a retired statistic professor has recorded final exam results for decades. the mean final exam score for the population of a student is 82.4 with a standard deviation of 6.5.
The mean μ = 82.4
The standard deviation σ = √[ ((x - μ)2 + (y - μ)2 + (z - μ)2)/3 ]
we have to find the variance,
We now add a constant k to each data value and calculate the new mean μ'.
μ' = ((x + k) + (y + k) + (z + k)) / 3 = (x + y + z) / 3 + 3k/3 = μ + k
We now calculate the new mean standard deviation σ'.
σ' = √[ ((x + k - μ')2 +(y + k - μ')2+(z + k - μ')2)/3 ]
Note that x + k - μ' = x + k - μ - k = x - μ
also y + k - μ' = y + k - μ - k = y - μ and z + k - μ' = z + k - μ - k = z - μ
Therefore σ' = √[ ((x - μ)2 +(y - μ)2+(z - μ)2)/3 ] = σ
If we add the same constant k to all data values included in a data set, we obtain a new data set whose mean is the mean of the original data set PLUS k. The standard deviation does not change.
Hence, the standard deviation does not change.
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5. What is the 38th term of the arithmetic sequence where *
(5 Points)
a4 = 8.5 and az = 13
O 59.5
O 61
O 64
65.5
Answer:
A. 59.5Step-by-step explanation:
Given AP with
a₄ = 8.5 and a₇ = 13a₃₈ = ?Equation for nth term:
aₙ = a₁ + (n - 1)dUse same for given terms:
a₄ = a₁ + 3d = 8.5a₇ = a₁ + 6d = 13Subtract the last two equations:
3d = 13 - 8.5d = 4.5/3d = 1.5Find a₁:
a₁ = 8.5 - 3*1.5 = 4Now find a₃₈:
a₃₈ = 4 + 1.5*37 = 59.5Correct choice is A
Module 8: Directions: Respond to this question to demonstrate your understanding of the topic/content. Be sure to provide adequate and relevant details learned in the module to support your response. Pay close attention to organizing your response so it makes sense and uses correct grammar. Your response should be at least 5-7 sentences at a minimum.
Question: Describe how to eliminate the parameter to change from parametric to rectangular form. How does this ability help us with graphing parametric equations?
Answer:
rectangular equation, or an equation in rectangular form is an equation composed of variables like xx and yy which can be graphed on a regular Cartesian plane. For example y=4x+3y=4x+3 is a rectangular equation.
A curve in the plane is said to be parameterized if the set of coordinates on the curve, (x,y)(x,y) , are represented as functions of a variable tt .
x=f(t)y=g(t)x=f(t)y=g(t)
These equations may or may not be graphed on Cartesian plane.
Step-by-step explanation:
I hope this helps
The volume of a cube is 1.5 mº. Find the length of its edge to the nearest tenth of a meter.
Answer:
About 1.1 meters.
Step-by-step explanation:
Hope this helps! :D
A recipe for bread calls for 2 cups of flour for every cup of water. Using the same recipe, how much
water will you need for 9 cups of flour? ➡
How many cups of water will you need for 9 cups of flour? Fill in that information in the table. Solve
on paper. Then, enter your answer on Zearn.
Answer: 4.5
Step-by-step explanation:
2 cups of flour = 1 cup of water
9 cups of flour/2 cups of flours = 4.5
4.5 cups of water for 9 cups of flour
Using the table of integrals, solve
The table of integrals can be a useful tool for simplifying the integration process, but it's important to have a solid understanding of calculus concepts in order to use it effectively.
The table of integrals is a tool used in calculus to simplify the process of finding antiderivatives. It lists various functions and their corresponding antiderivatives, or integrals.
To use the table of integrals, you first need to identify the function you are trying to integrate. Then, find a similar function in the table and use the corresponding antiderivative to solve your integral.
It's important to note that not all functions have a corresponding antiderivative listed in the table, and in those cases, other integration techniques must be used.
Additionally, it's always a good idea to double check your work and make sure the answer makes sense in the context of the original problem.
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If we use the table of integrals, the solution would be In | tan(x+7) + sec(x+7)|+C. Option A
How do we solve function using table of integral?Using the table of integral, we say
∫ (1/cos(x +7)) dx ⇒ ∫sec (x+7) dx
u = x+7 ⇒ du = dx
= ∫sec (u) du
Expand the fraction by tan (u) + sec (u)
= ∫(sec(u) (tan(u) + sec (u))/ tan (u) + sec (u)
= ∫((sec(u) tan(u) + sec²(u))/ (tan (u) + sec (u))) du
Substitute v= tan(u) + sec (u) ⇒ dv = (sec(u) tan(u) + sec²(u))du
= ∫(i/v)dv
= In(v)
Undo substitution v = tan(u) + sec(u)
=In(tan(u) + sec(u))
= In(tan(x+7) + sec(x +7))
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Use the ALEKS calculator to evaluate each expression.
Round your answers to the nearest thousandth.
Do not round any intermediate computations.
log√7 =
Log 23/6=
Exponential growth is a type of growth that occurs when the rate of increase is proportional to the current amount.
Logarithmic evaluationLog√7 = 1.659Log 23/6 = 0.862It is a rapid increase in the quantity of something over a period of time. Exponential growth can be seen in populations, investments, and other areas.It is characterized by a doubling or tripling of the original amount within a specified period of time.This type of growth is often caused by compounding, where gains from one period are reinvested in the next period, leading to a rapid increase in the overall amount.Exponential growth is often seen in the early stage of a business, when it is experiencing rapid growth due to investments or other factors.However, exponential growth can also lead to rapid decline if not managed properly.This is called logarithmic evaluation, which involves using logarithms to simplify complex expressions.To learn more about logarithmic evaluation refer to:
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pls help I need 3,4,5,6
Answer:
Step-by-step explanation:
#3 - not proportional
#4 - proportional
#5 - y = 3.5x
#6 - y=1/4x
If quadrilateral ABCD is a kite, what is the value of x?
Answer: x = 8
BC = 13
AB = 13
AD = 10
Step-by-step explanation:
The figure shows that AB = BC so:
x+5 = 2x-3
2x-x = 5+3
x = 8
Hence we have:
BC = 2(8)-3 = 13
AB = 8+5 = 13
AD = 8+2 = 10