The data set that best describes the histogram is
(4, 7, 11, 13, 14, 19, 22, 24, 26, 27, 29, 31, 33, 35, 36, 38, 40, 42, 42, 42)
We have,
The histogram shows that there are different intervals on the x-axis, and for each interval, there is a corresponding frequency on the y-axis.
From the given data, we can see that there are more passengers in the 11 to 20 interval than in the 1 to 10 interval, and so on.
Looking at the answer choices, we need to choose the data set that matches the histogram.
The first step is to check if the data set has the same range as the histogram.
The histogram has intervals from 1 to 10, 11 to 20, 21 to 30, 31 to 40, and 42 to 50.
Now,
The first answer choice has numbers less than 1 and greater than 50, so it cannot be the correct choice.
The second answer choice has a range from 4 to 42, which matches the histogram.
We can check if the frequencies in the data set match the heights of the bars in the histogram.
For example, the histogram has a bar for the 11 to 20 interval that stops at 4, which means there are 4 passengers in that interval.
The second data set has 4 passengers in the 11 to 20 interval, so it matches.
We can do the same for the other intervals and find that the second data set matches the histogram.
Therefore,
The data set that best describes the histogram is
(4, 7, 11, 13, 14, 19, 22, 24, 26, 27, 29, 31, 33, 35, 36, 38, 40, 42, 42, 42)
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An axon is a
long, tubelike structure extending from a neuron's cell body
branch-like fiber extending in clusters from a neuron's cell body
neuron's cell body
messenger of the nervous system.
An axon is a long, tubelike structure extending from a neuron's cell body branch-like fiber extending in clusters from a neuron's cell body messenger of the nervous system is true.
We have,
An axon is a long, tubelike structure that extends from a neuron's cell body.
It is a specialized fiber that carries electrical impulses, known as action potentials, away from the cell body and towards the axon terminals.
Axons are covered by a fatty substance called myelin, which insulates and protects the axon and helps to speed up the transmission of signals.
At the end of the axon, there are small branches called axon terminals, which release chemicals called neurotransmitters into the synapse, the small gap between the axon terminals and the dendrites of the next neuron in the circuit.
This allows the electrical signal to be converted into a chemical signal and transmitted to the next neuron, continuing the chain of communication in the nervous system.
Thus,
An axon is a long, tubelike structure extending from a neuron's cell body branch-like fiber extending in clusters from a neuron's cell body messenger of the nervous system is true.
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Alan is going to eat a round lollipop that has a radius of 2 inches. What is the lollipop's circumference?
The circumference of the lollipop is 12.57 inches.
Circumference is the measurement of the distance around the outer edge of a closed curve, particularly a circle. It is the total length of the curve that makes up the boundary of the circle.
The circumference of the circle is given by the formula;
Circumference = 2 × π × radius
where π (pi) is the mathematical constant approximately equal to 3.14159265359...
Given that the radius of the round lollipop is 2 inches, we can substitute this value into the formula;
Circumference = 2 × π × 2
Using the approximate value of π as 3.14159265359..., we can calculate the circumference;
Circumference = 2 × 3.141592 × 2
Circumference ≈ 12.56
Therefore, the circumference of the lollipop is approximately 12.57 inches.
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Find the average of the numbers: 16 and 17
Answer:
16.5
Step-by-Step Explanation:
16.5 would be the average because it is right between 16 and 17. hope that helps :)
simplify. sqrt 7 / 2square root 11
The answer to the above question is [tex]\sqrt{77}/22[/tex]
understanding surd simplificationA surd is an irrational number, that is, a number that cannot be expressed as a simple fraction or ratio of two integers.
Given the expression:
[tex]\frac{\sqrt{7} }{2\sqrt{11} }[/tex]
Multiply both numerator and denominator by a factor. In this case our factor is [tex]\sqrt{11}[/tex]
Then we have:
= [tex]\frac{\sqrt{7} }{2\sqrt{11} }*\frac{\sqrt{11} }{\sqrt{11} }[/tex]
This gives us:
= [tex]\frac{\sqrt{7} * \sqrt{11} }{2\sqrt{11} * \sqrt{11} }[/tex]
This should give us:
= [tex]\frac{\sqrt{77} }{2*11 }[/tex][tex]\frac{\sqrt{77} }{22 }[/tex]
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If all real numbers satisfy the inequality, select all real numbers. If no real numbers satisfies the inequality, select no solution.
how can you tell if it's all real numbers or if no real numbers.
The solution to the inequality is x >= -2 for inequality 3x-5≥-11
The given inequality is 3x-5≥-11
Three times of x greater than or equal to minus eleven
x is the variable
3x - 5≥ -11:
Adding 5 to both sides, we get:
3x ≥ -6
Dividing both sides by 3, we get:
solution is x≥-2
Therefore, the solution to the inequality is x >= -2.
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if a baseball team has lost 50 matches out of the 120 matches played in total find out their winning percentage
Answer:
58.3%
Step-by-step explanation:
120-50=70 (wins)
120 is 100% wins
70. ??
We multiply 70 by 100% then divide by 120.
Bozo can read at a rate of 300 words every four minutes. what is his rate of reading in words per minute?
Answer:
Bozo's rate of reading in words per minute is 75 (300 words / 4 minutes = 75 words/minute).
Step-by-step explanation:
Mark Brainliest!!
Answer: 75 words per minute
Step-by-step explanation:
We will divide 300 words by 4 to find the rate of words per minute since the original rate is words per four minutes.
300 / 4 = 75 words per minute
Write an explicit formula for an, the nth term of the sequence 36, 32, 28, ....
WORTH 20
Answer:
an = 36 + -4(n - 1)
Step-by-step explanation:
Explicit formula:
[tex]a_n=a_1+(n-1)d[/tex]
Where:
an = nth terma1 = first termd = common differenceHere, we are given the following:
Sequence: 36, 32, 28The first term is 36
To get to the next term, 4 is subtracted from the previous term so the common difference is -4.
So we have:
First term(a1) = 36Common difference = -4By plugging this into [tex]a_n=a_1+(n-1)d[/tex]
We acquire : [tex]a_n=36+(n-1)(-4)[/tex]
Abi takes out a loan that gathers compound interest. The table below shows the value of the loan over time. a) What is the rate of interest per annum? Give your answer as a percentage to 1 d.p. b) Work out the value of the loan 10 years after it starts. Give your answer in pounds (£) to the nearest 1p. Start After 1 year After 2 years £2500.00 £2645.00 £2798.41
As per the given percentage, the value of the loan 10 years after it starts is £4506.32.
We know the values of P and A for the first two years. So, we can use these values to find the value of r. Let's use the formula for the first year:
2645 = 2500(1 + r/1)¹ˣ¹
Simplifying the equation, we get:
1 + r = 2645/2500
1 + r = 1.058
r = 0.058 or 5.8%
Therefore, the interest rate per annum is 5.8% (to 1 decimal place).
Now, let's move on to finding the value of the loan after 10 years. We can use the same formula for compound interest, but we need to substitute the values of P, r, n, and t accordingly. Here's the formula:
A = P(1 + r/n)ⁿˣ
Where:
P = 2500
r = 0.058
n = 1 (as the interest is compounded annually)
x = 10
Substituting these values, we get:
A = 2500(1 + 0.058/1)¹ˣ¹⁰
A = 2500(1.058)¹⁰
A = 4506.32
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For each equation complete the table of values and draw its graph for values of x from -1 to 3
Answer:
Step-by-step explanation:
Answer:
where is the question.
send it so I'll answer it
Determine two pairs of polar coordinates for the point with 0 < theta <360
The polar coordinates for the point (5, 5) are (5√(2), 45 degrees) or (5√(2), 225 degrees) since 225 degrees is also a valid angle between 0 and 360 degrees that corresponds to the same point.(option c)
For the point (5, 5), we can find its polar coordinates by first finding the distance r from the origin using the Pythagorean theorem:
r = √(5² + 5²) = √(50) = 5√(2)
Next, we can find the angle θ that the line connecting the origin to the point makes with the positive x-axis using trigonometry:
tan(θ) = y/x = 5/5 = 1
θ = arctan(1) = π/4 radians
Since 0 < θ < 360, we can express θ in degrees as θ = 45 degrees.
Hence the correct option is (c).
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write 100 min in hour and min
2y+3y-18=-83?????????????
In a greenhouse, Brazil is grown in planters that have a base of 4 1/5 In by 1 1/3 in. If there is a 3 x 3 array of these planters with no space between them, what is the area covered by the planters
Answer:
The area of one planter is:
4 1/5 in × 1 1/3 in = (21/5) in × (4/3) in = 28/5 in²
In a 3 x 3 array, there are 3 planters in each row and 3 planters in each column, so there are a total of 9 planters.
The area covered by the planters is:
9 × (28/5) in² = 252/5 in² ≈ 50.4 in²
Therefore, the area covered by the planters is approximately 50.4 square inches.
Step-by-step explanation:
mark brainliest
What are the coordinates of the vertex of the graph of:
f(x) = 2 lx - 3l
Enter your answer in the boxes.
( ), ( )
Answer:
(3, 0)
Step-by-step explanation:
It might be first helpful to think about the function [tex]|x-3|[/tex], we will call this [tex]g(x)[/tex]. So, [tex]g(x)=|x-3|[/tex].
The modulus (absolute value) function reflects any points on a graph that go below the x-axis up into the positive x region.
We know that the graph of [tex]y=x-3[/tex], will cross the x-axis at (3,0). We can work this out by setting y to 0 and rearranging for x. At the x-axis, y = 0.
Therefore, when the modulus comes in, a vertex will be created at (3,0).
But that is the vertex of [tex]g(x)[/tex].
Using basic algebra we can derive from previous working that [tex]f(x)=2g(x)[/tex].
Graphically, the multiplier of 2 on the outside of [tex]g(x)[/tex] stretches the graph in y-axis, and does so by the scale factor of 2.
With our vertex (3,0), the y value is 0. And if you multiply 0 and 2 together, 0 is produced. The x value will remain unchanged as a result of this transformation.
Therefore, the vertex of [tex]f(x)[/tex] is (3,0).
Select the correct answer.
Which of these statements defines the term resources?
O A. materials that help you achieve your goals
OB. all the goods and services provided to people
OC. the government's ability to deal with economic problems
Reset
Next
The statements that defines the term resources is A. materials that help you achieve your goals.
What is resources?Resource can be described as all the materials available that is available in individual environment and can be seen as one that is technologically accessible.
It should be noted that resources do help us to achieve most of our goals and can be seen as one that is economically feasible as welll as culturally sustainable and they serves as things that can help us and thjat can satisfy our needs and wants which is needed on daily basis.
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A fireworks mortar is launched straight upward from a pool deck platform 6 m off the ground at an initial velocity of 48 m/sec.
The height of the mortar can be modeled by h(t)=-4.9t^2+48t+6, where h(t) is the height in meters and t is the time in seconds after launch. What is the maximum height? Round to the nearest meter.
Check the picture below.
so the maximum height will occur at its vertex y-coordinate.
[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ h(t)=\stackrel{\stackrel{a}{\downarrow }}{-4.9}t^2\stackrel{\stackrel{b}{\downarrow }}{+48}t\stackrel{\stackrel{c}{\downarrow }}{+6} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 48}{2(-4.9)}~~~~ ,~~~~ 6-\cfrac{ (48)^2}{4(-4.9)}\right) \implies \left( - \cfrac{ 48 }{ -9.8 }~~,~~6 - \cfrac{ 2304 }{ -19.6 } \right)[/tex]
[tex]\left( \cfrac{ 48 }{ 9.8 } ~~~~ ,~~~~ 6 +\cfrac{ 2304 }{ 19.6 } \right) ~~ \approx ~~ (4.89~~,~~\text{\LARGE 124})[/tex]
Problem 3
Draw the pictures to compute 1 ÷ 11 in a base ten system, and show the answer is 0.09.
The result of 1/11 in the base 10 system is given as is 0.09.
How to solveTo visualize the long division of 1 ÷ 11 in a base ten system:
Set up the long division: 11 outside and 1.00 inside the division bracket.
Place the decimal point in the quotient above the dividend's decimal point.
Bring down the first digit (0) and divide 11 into 10; it goes 0 times.
Subtract the product (0) from 10, leaving 10.
Bring down the next digit (0) and divide 11 into 100; it goes 9 times.
Subtract 99 from 100, leaving a remainder of 1.
The result is 0.09.
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Multiply 6c(8 − 3c).
Answer:-30c
Step-by-step explanation:
you subtract 8 from 3c which is -5c than multiply by 6 which is -30c
using algebra prove that given any 3 consecutive whole numbers, the sum of the square of the smallest number and the largest number is always 2 more that twice the square of the middle number
Answer:
Let x, x + 1, and x + 2 be the three numbers.
x^2 + (x + 2)^2 = x^2 + x^2 + 4x + 4
= 2x^2 + 4x + 4
= 2x^2 + 4x + 2 + 2
= 2(x^2 + 2x + 1) + 2
= 2(x + 1)^2 + 2
use the graph below to find the indicated function value
Answer:
Step-by-step explanation:
4,12,44,176,890
which is odd one ?
Answer:
890 as it is not divisible by 4
Solve the equation.
22
= 6
2 =
Solve for m. m/2 - squareroot 5 = 3
Answer:
We can start by isolating the variable term on one side of the equation and moving all other terms to the other side.
First, we'll add the square root of 5 to both sides of the equation:
m/2 - sqrt(5) + sqrt(5) = 3 + sqrt(5)
Simplifying:
m/2 = 3 + sqrt(5)
Next, we'll multiply both sides of the equation by 2:
m = 2(3 + sqrt(5))
Simplifying:
m = 6 + 2sqrt(5)
Therefore, the value of m is 6 + 2sqrt(5).
Step-by-step explanation:
A country recently had a GDP of $1000 billion. Its consumption expenditures were $650 billion, its government spent $250 billion, and it had domestic investment of $150 billion. What was the value of this country’s net capital outflow?
The value of this country's net capital outflow is $200 billion.
We have,
The formula for net capital outflow (NCO) is:
NCO = Domestic Investment - Foreign Investment
Since the problem only gives us information about domestic investment, we need to use another formula to calculate foreign investment.
The formula for national saving (S) is:
S = GDP - Consumption Expenditures - Government Spending
We can rearrange this formula to solve for foreign investment:
Foreign Investment = GDP - Consumption Expenditures - Government Spending - Domestic Investment
Substituting the given values, we get:
Foreign Investment = $1000 billion - $650 billion - $250 billion - $150 billion
Foreign Investment = $1000 billion - $1050 billion
Foreign Investment = -$50 billion
The negative sign indicates that there is a net capital inflow (i.e., foreign investment is greater than domestic investment).
Therefore, the value of this country's net capital outflow is:
NCO = Domestic Investment - Foreign Investment
NCO = $150 billion - (-$50 billion)
NCO = $150 billion + $50 billion
NCO = $200 billion
Thus,
The value of this country's net capital outflow is $200 billion.
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Write an equation of a quadratic function that has been reflected in the x-axis, shifted horizontally to the right 2 units and stretched by a factor of 3.
The equation is writen in the quatradtic form as [tex]g(x) = -3a(x - 2)^2 - 3b(x - 2) - 3c[/tex]
How to write the equationQuadratic equation is of the form
[tex]f(x) = ax^2 + bx + c[/tex]
the transformations
Reflect it in the x-axis: To reflect a function in the x-axis, we change the sign of the function.
[tex]g(x) = -ax^2 - bx - c[/tex]
Shift it horizontally to the right by 2 units: Our function becomes:
[tex]g(x) = -a(x - 2)^2 - b(x - 2) - c[/tex]
Stretch the function by a factor of 3: To stretch a function vertically, we multiply the function by the stretch factor, k.
[tex]g(x) = -3a(x - 2)^2 - 3b(x - 2) - 3c[/tex]
So, the final transformed quadratic function is: [tex]g(x) = -3a(x - 2)^2 - 3b(x - 2) - 3c[/tex]
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Compute the measures of center for both the boys and girls data. Describe their differences. Use the terms mean and median to justify your answer. 3) points
GIVING 100 PTS!
1.) The data I discovered for the Girls Is 50 which Is the median, And the mean Is 46.
For the boys Is 33 which Is the median, and the mean is 34.
2.) The difference Is, The girls Is 15-81 From the boys, The boys Is 0-75, This means the boys median would be less because their scores are less.
Answer:
1.) The data I discovered for the Girls Is 50 which Is the median, And the mean Is 46.
For the boys Is 33 which Is the median, and the mean is 34.
2.) The difference Is, The girls Is 15-81 From the boys, The boys Is 0-75, This means the boys median would be less because their scores are less.
Step-by-step explanation:
Credits to: 3dxnnA man is flying in a hot air balloon in a straight line at a constant rate of 5' per second while keeping it at a constant altitude. As he approaches the parking lot of a market. , he notices that the angle of depression from his balloon to a friend's car in the parking lot is 34ﾟ. A minute and a half later after flying directly over his friend's car, he looks back to see his friend getting into the car and observes the angle of depression to be 36ﾟ At that time what is the distance between him and his friend?
The distance is given as 272.98 feet.
What is Angle of Depression?The measurement of the angle of depression relates to the formation between a horizontal line and the observer's sightline to an object or point that exists beneath their level.
Therefore, it demonstrates the formed degree between the observer's line of vision towards a subject and the horizontal flatness visible when looking downwards at it from afar.
This notion is prevalent throughout trigonometry and play a vital role in areas including surveying, navigation and architecture. The degrees obtained from this practice are generally calculated via angles, with a complete 90-degree measure indicative of viewing straight downward over the designated target.
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Help please 3rd times a charm
The amount that you would save in annual fuel expenses would be $9, 333. 32
The amount that you would have saved over the five years would be $52, 854.63
How to find the fuel savings ?The amount saved in fuel when using the hybrid is:
= Fuel usage by SUV - Fuel usage by Hybrid
= ( 30, 000 / 9 x 4 ) - ( 30, 000 / 30 x 4 )
= $9, 333.32
If you saved this amount as an annuity, it would come out to:
= ( 9, 333.32 / 12 ) x [ ( 1 + 0. 004333 ) ^ ( 12 x 5 ) - 1 ] / 0. 004333
= 777. 78 x 0. 2957 / 0. 004333
= $ 52, 854.63
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At their practices, the volleyball team ran a total of 10 miles in 14 days. The tennis team ran a total of 8 miles in 7 days. Which team ran more miles per day?
Answer:
tennis team
Step-by-step explanation:
because they ran 8 miles is 7 days to get equal amount of days you multiply by 2 on both 8 miles and 7 days so they ran 16 miles in 14 days thats y tennisbteam ran more miles
