On solving the provided question, we can say that The following are the mean and standard deviation of the sample distribution of x: Average: 225 sec. 19 second standard deviation.
What is standard deviation?Standard deviation is a statistic that expresses the variability οr variance of a grοup of numbers. While a high standard deviation suggests that the values are mοre dispersed, a low standard deviation suggests that the values tend tο be closer to the established mean.
A measure of hοw dispersed the data are frοm the mean is the standard deviation (οr ). When the standard deviation is lοw, the data tend to be grouped around the mean, and when it is large, the data are mοre dispersed. The average variability of the data set is measured as standard deviation. It reveals the average deviation of each scοre from the mean.
The median matches the median οf the population.
The pοpulation standard deviation is divided by the square root of the sample size tο produce the standard deviation.
The following are the criteria fοr this issue:
average population of 225 seconds.
60 second population standard deviatiοn.
10 second sample size.
Consequently, the following is the standard deviation fοr the sample distributiοn of x:
19 seconds are equal to 60/√(10).
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ite the equations of the lines with the following properties Two points, (1, 3) and (9,8)
The linear equation that passes through the two given points is:
y = (5/8)*x + 19/8
How to write the linear equation?We want to find the equation of a line that passes through (1, 3) and (9, 8).
Remember that the slope of a line that passes through two points (x₁, y₁) and (x₂, y₂) is given by the equation:
slope = (y₂ - y₁)/(x₂ - x₁)
Here we know the two points (1, 3) and (9, 8).
Then the slope is:
slope = (8 - 3)/(9 - 1) = 5/8
We can write the line as:
y = (5/8)*x + b
To find the value of b,we can evaluate in one of the given points, for example, if we use (1, 3) then we will get:
3 = (5/8)*1 + b
3 = 5/8 + b
3 - 5/8 = b
24/8 - 5/8 = b
19/8 = b
The linear equation is:
y = (5/8)*x + 19/8
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You place one grain of rice on the first square of a chess board. You then put two on the second,
four on the third, eight on the fourth, and so on until you've reached the sixty-fourth square.
If Scrooge McDuck bought five-pound bags of enriched white rice from Walmart, could he afford
to buy all the rice needed for the previous paragraph?
Answer:
yes
Step-by-step explanation:
Isaac Newton sat under an apple tree to drink some tea and think. While he was thinking, an apple fell off a branch of the tree. The equation v=(19.8d)12
can be used to find the velocity, in meters per second, of the apple after dropping a distance , in meters. If the apple was connected to a branch 9 meters above the ground, what was the velocity of the apple, to the nearest hundredth, when it hit the ground?
The velocity of the apple, to the nearest hundredth, when it hit the ground is equal to 13.35 meters per seconds.
What is a function?In Mathematics, a function is a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables.
How to determine the velocity of the apple?From the information provided about an apple that fell off a branch of the tree, a function that models the velocity of the apple include the following:
Velocity = (19.8d)^{1/2}
Where:
d represents the distance in meters.
Velocity = (19.8 × 9)^{1/2}
Velocity = (178.2)^{1/2}
Velocity = 13.35 meters per seconds.
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A function has the following properties:
• It is increasing and linear when the value of x is between -5 and -3.
• It remains constant when the value of x is between -3 and 0.
• It is decreasing and linear when the value of x is between 0 and 3.
• It is increasing and nonlinear when the value of x is between 3 and 5.
Which graph best represents this function?
Answer:
c
Step-by-step explanation:
trust me
2. The population of chickadees in a certain region is smaller by 30% than the population of
phoebes, and the population of blue jays is 30% of the population of phoebes.
The population of phoebes is 12,000.
Find the sizes of the chickadee and blue jay populations in the region.
The population of chickadees in the region is 8,400 and the population of blue jays is 3,600.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
First, we can find the population of chickadees by multiplying the population of phoebes by 0.7 (100% - 30%):
Population of chickadees = 0.7 x 12,000 = 8,400
Next, we can find the population of blue jays by multiplying the population of phoebes by 0.3:
Population of blue jays = 0.3 x 12,000 = 3,600
Therefore, the population of chickadees in the region is 8,400 and the population of blue jays is 3,600.
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Written as a simplified polynomial in standard form, what is the result when
(x − 2)² is subtracted from 4x?
Step-by-step explanation:
(x-2)(x-2)-4x
x²-2x-2x +4-4x
x²-4x-4x +4
x²-8x+4
Answer:
4x - (x - 2)² = 4x - x² + 4 = 3x + 4
Step-by-step explanation:
The diagram below shows the rectangle PLUMP
Find the area of rectangle PLUMP
If entering your answer as a decimal, round your final answer to the nearest hundredth.
PLS show work.
Step-by-step explanation:
we need to remember 2 things for right-angled triangles (which we need to use to find the sides of the rectangle, so that we then can calculate the area) :
1. Pythagoras
a² + b² = c²
with c being the Hypotenuse (the side opposite of the 90° angle), a and b being the legs.
2. geometric mean theorem
height = sqrt(p×q)
with p and q being the segments of the baseline the height is splitting it into. in our case MA and AL.
so, to get the length of the rectangle (PL) we use Pythagoras :
PL² = 6² + 8² = 36 + 64 = 100
PL = 10 units
to get PM we first need to get ML. and for that we need to get MA.
6 = sqrt(MA × 8)
36 = MA × 8
MA = 36/8 = 4.5 units
that means ML = 8 + 4.5 = 12.5 units
and again Pythagoras
ML² = PL² + PM²
12.5² = 10² + PM²
156.25 = 100 + PM²
56.25 = PM²
PM = 7.5 = 7.5 units
so, the area of the rectangle is
10 × 7.5 = 75 = 75.00 units²
to "round" to the nearest hundredth.
The second side of a triangular deck is 3 feet longer than the shortest side, and the third side is 3 feet shorter than twice the length of the shortest side. If the perimeter of the deck is 72 feet, what are the lengths of the three sides?
Answer:
the solution is done in the given picture..
thank you
Last year Kristen had $ 20 , 000 to invest. She invested some of it in the first account that paid 7 % simple interest per year, and she invested the rest of it in a second account that paid 8 % simple interest per year. After one year, she received a total of $ 1 , 540 in interest. How much did she invest in each account?
The amount invested in the account that earns 7% interest is $6,000 and the amount invested in the account that earns 8% interest is $14,000.
How much is invested in each account?The system of equations that represent the information in the question is:
a + b = 20,000 equation 1
0.07a + 0.08b = 1540 equation 2
Where:
a = amount invested in the account that earns 7% interest
b = amount invested in the account that earns 8% interest
The elimination method would be used to solve the equations.
Multiply equation 1 by 0.07
0.07a + 0.07b = 1,400 equation 3
Subtract equation 3 from equation 2
0.01b = 140
Divide both sides of the equation by 0.01
b = 140/ 0.01
b = 14,000
Substitute for b in equation 1:
a + 14,000 = 20,000
a = 20,000 - 14,000
a = 6,000
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Complete the table.
q=p+7
Р
q
0
1
8
2
3
4
11
Given expression q=p+7
Expression can be defined as contains one or more variables and constants with one or more arithmetic operators.
Simply put the p values in the expression. solve it and get the q values.
q=p+7 in the place of p submit p=0
q=0+7
q=7
q=p+7 in the place of p submit p=2
q=2+7
q=9
q=p+7 in the place of p submit p=3
q=3+7
q=10
Therefore, The values of q are 7,9,10
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The missing numbers are:
7,9 and 10 when 0, 2, and 3 respectively.
What is an equation?Two algebraic expressions having the same value and symbol '=' in between are called an equation.
Given:
An equation,
q = p + 7.
Substituting the values of p:
When p = 0,
q = 0 + 7
q = 7.
When p = 2,
then q = 9.
And when p = 3,
q = 10
Therefore, all the required values are given above.
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Use the general slicing method to find the volume of the following solid.
The solid with a semicircular base of radius 4 whose cross sections perpendicular to the base and parallel to the diameter are squares.
The volume of the solid with a semicircular base of radius 4 whose cross sections perpendicular to the base and parallel to the diameter are squares is 512/3 cubic units
The radius of the base = 4 units
The length of the side of the square = 2x
The area of the square = a^2
Where a is side of the square
The area of the square = (2x)^2
= 4x^2
The equation of the circle is
x^2 + y^2 = 16
x^2 = 16 - y^2
The area = 4(16 - y^2 )
= 64 - 4y^2
The volume of the square
V = [tex]\int\limits^a_b {A(y)} \, dy[/tex]
= [tex]\int\limits^4_0 {64-4y^{2} } \, dy[/tex]
= 64×4 - 4×(4^3/3)
= 256 - 256/3
= 512/3 cubic units
Therefore, the volume of the solid is 512/3 cubic units
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PLEASE PLEASE PLEASE HELP DONT IGNORE
Answer: the first box is does not the 2st box does i hope this helps
Step-by-step explanation:
Answer:
Step-by-step explanation:
(-2, 3) (2, -1)
(-1 - 3)/(2 + 2)= -4/4 = -1
m = -1
does
does not
y - 3 = -1(x + 2)
y - 3 = -x - 2
y = -x + 1
Option 1
The triangles are similar. What is the missing length?
8
18
72
16
The answer is B. 18
When solving similar triangles, you must set up a proportion. We do not know what the other two lengths are for side AB, but we can still solve another way. For side AC, we can set up a proportion of 33/44. We're going to take AM and put that over the total. The total length of side AB is 24, and we're going to use x for AL.
33/44 = x/24
Once finished solving the proportion, you are left with 18
The missing length of triangle is 18.
What exactly is a triangle?
Triangles are polygons in geometry that have three sides and three vertices. This is a two-dimensional figure with three straight sides. A triangle is a three-sided polygon. A triangle's three angles added together equals 180°. A single plane contains the triangle. The triangle is classified into six forms based on its sides and angles.
A triangle is categorised into three categories based on its sides, namely:
Scalene Triangle - Each side has a distinct length.Isosceles Triangle - A triangle with two sides of equal length and one side of a different length.Equilateral Triangle - A triangle has three sides that are of the same length.A triangle is categorised into three categories based on its angles, namely:
Acute Angle Triangle - A triangle with all of its angles smaller than 90°.Obtuse Angle Triangle - A triangle with one of its angles larger than 90°.Triangle with a Right Angle - A triangle with one of its angles equal to 90°.Now,
As these triangles are similar that means
we can find the proportion of sides from given sides and
from that find x.
So, here AC/AM=AL/AB
44/33=24/x
AL=24*33/44
AL=18
Hence,
The missing length AL of triangle is 18.
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Examine the right triangle below. Let a = 15, b = 20, and c = 25. What is the
sin B=, rounded to the nearest hundredth?
The value of sin B rounded to the nearest hundredth is 0.80.
What are Trigonometric Functions?Trigonometric functions are defined as the real functions which are simply the functions of an angle of a triangle. They are basically the periodic functions which relate an angle in a right angled triangle to the ratios of the length of two sides.
The right triangle represented in the question is given below.
We know that sine of an angle in a right angled triangle is the ratio of it's opposite side to hypotenuse.
In the triangle ABC, AB is the hypotenuse and AC is the opposite side of B.
Sin B = AC / AB
Sin B = b / c
Sin B = 20 / 25
Sin B = 0.8
Hence the value of sine of B is 0.8.
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4x - 3 = 17
-2x - 7y = 11
The figure below shows a rope that circles the Earth. The radius of the Earth is
6371
63716371 kilometers.
Assuming the rope makes a perfect circle, what is the length of this rope?
Give your answer in terms of pi.
Answer:
The circumference of a circle can be calculated using the formula:
Circumference = 2πr
Where r is the radius of the circle.
Plugging in the value for the radius of the Earth, we have:
Circumference = 2π(6371 km) = 12,742 km
So the length of the rope, assuming it makes a perfect circle around the Earth, would be 12,742 km = 2π(6371) kilometers.
Step-by-step explanation:
Select the correct answer.
A right angle triangle where ABC angle is 90° and angle ACB is 45°.
Which trigonometric ratio will not have the same value as sin A?
A.
cos A
B.
sin C
C.
tan C
D.
cos C
Reset Next
Trigonometric Ratios: Mastery Test
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Trigonometric ratio in option (c) tan C will not have the same value as sin A.
What are Trigonometric Functions?Trigonometric functions are defined as the periodic functions which relate an angle in a right angled triangle to the ratios of the length of two sides.
Given a right angled triangle ABC given below.
ABC angle is 90° and angle ACB is 45°.
Then angle BAC = 180° - (90° + 45°) = 45°
Since two angles are equal, it is an isosceles triangles.
So opposite sides to the equal angles are equal.
AB = BC
AC is the hypotenuse.
Sin A = Opposite side / Hypotenuse = BC / AC
(a) Cos A = Adjacent side / Hypotenuse = AB / AC = BC / AC
(b) Sin C = AB / AC = BC / AC
(c) Tan C = Opposite side / Adjacent side = AB / BC = BC / BC = 1, not equal to Sin A
(d) Cos C = BC / AC
Hence the option (c) is not equal to sin A.
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the answer to this question
Answer is B.
y= 2x -3 y= -2x + 1
step by step
First I found the y intercepts at (red line) -3 and (green line) +1.
There is only one answer that shows these two y intercept values.
To double check this answer, I checked the slope of each line. The red line has a slope of 2 and the green line has a slope of -2.
Slope was found on the graph finding rise over run and compared to the number next to x in the equations.
See attached graph.
which coordinate plane has the graph of y=2/5x—4
The required graph has been attached below which represents the given linear equation y = (2/5)x - 4.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
To plot the graph of y = (2/5)x - 4, you can follow these steps:
Choose a range of values for x that you want to plot. For example, you can choose x values from -10 to 10.
Substitute the x values into the equation to find the corresponding y values. For example, if x = -10, then y = (2/5)(-10) - 4 = -8.
Plot the ordered pairs (x, y) on a coordinate plane. For example, if x = -10 and y = -8, plot the point (-10, -8) on the plane.
Repeat this process for several x values to plot additional points.
Connect the points with a straight line to obtain the graph of the equation y = (2/5)x - 4.
Note that the graph should be a straight line with a slope of 2/5 and a y-intercept of -4.
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The question seems incomplete, the correct question would be as:
How to plot the graph of y = (2/5)x — 4?
Solve for x. Round to the nearest tenth.
xº
54
12
The required measure of the angle x in the given right triangle is 12.38°.
What are trig ratios?If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.
Here,
Since the question seems to be incomplete the complete question has been attached after the solution.
We have given a triangle where x° is the angle of the right triangle where the hypotenuse is 54 and one legs is 12. With the help of trig ratios
sin x = 12 / 54
x = sin⁻¹(12/54)
x = 12.38°
Thus, the required measure of the angle x in the given right triangle is 12.38°.
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Miguel was selling apples, plums, and peaches at the local farmer’s marker. He sold 18 more
pounds of apples than pounds of plums. He sold 9 pounds less of peaches than pounds of
plums. He sold a total of 69 pounds of fruit. How many pounds of each fruit did he sell?
Answer:
He sold 32 pounds of apples, 14 pounds of plums and 23 pounds of peaches.
Step-by-step explanation:
Let:
x = Mass of Apples (pounds)
y = Mass of plums (pounds)
z = Mass of peaches (pounds)
He sold 18 more pounds of apple than pounds of plums: [tex]x = 18 + y[/tex]
He sold 9 less pounds of peaches than pounds of plums: [tex]z - 9 = y[/tex]
He sold a total of 69 pounds of fruit: [tex]x + y + z = 69[/tex]
We have 3 unknown variables, therefore a system of 3 linear simultaneous equations:
[tex]x = 18 + y[/tex] ——- (equation i)
[tex]z - 9 = y[/tex]
∴ [tex]z = 9 + y[/tex] ——— (equation ii)
[tex]x + y + z = 69[/tex] ——- (equation iii)
The above linear simultaneous equations can be solved by Substitution Method:
Substitute (equation i) and (equation ii) into (equation iii) to solve for y. Expand the parenthesis and bring all the like terms together. y has to be made the subject of the equation:
[tex](18 + y) + y + (y + 9) = 69[/tex]
= [tex]18 + y + y + y + 9 = 69[/tex]
= [tex]y + y + y = 69 - 18 - 9[/tex]
= [tex]3y = 42[/tex]
= [tex]y = \frac{42}{3}[/tex]
∴ y = Mass of plums = 14 pounds
Substitute the calculated value of y into the other two equations to solve for x and for z:
[tex]x = 18 + (14)[/tex]
∴ x = Mass of apples = 32 pounds
[tex]z = 9 + (14)[/tex]
∴z = Mass of peaches = 23 pounds
A boat has a top speed of 26 knots and a displacement of approximately 81,000 tons. Express the top speed in miles per hour and the displacement in metric tons. The boat has a top speed of approximately______mile(s) per hour. (Round to the nearest tenth as needed.)
The boat has a top speed of approximately 29.7 miles per hour and a displacement of approximately 73,934 metric tons.
Answer:
[tex]29.9[/tex] miles per hour
[tex]73482[/tex] metric tons
Step-by-step explanation:
We are given:
top speed of 26 knots
displacement of 81,000 tons
It is asking us to convert knots to miles per hour.
It is asking us to convert tons to metric tons.
We can use conversion factors to complete the unit conversions.
1 knot (kt) = 1.15077945 miles per hour (mph)
1 ton = 0.907185 metric tons
Numerical Evaluation
Lets convert our top speed.
We can set up an equation like this
[tex]\frac{1}{1.15077945} =\frac{26}{x}[/tex]
Lets solve for [tex]x[/tex].
Cross multiply.
[tex]1x=26*1.15077945[/tex]
Evaluate [tex]26*1.15077945[/tex].
[tex]26*1.15077945 =29.9202657[/tex]
Round to the nearest tenth.
[tex]29.9[/tex] miles per hour
Lets convert our displacement.
We can set up an equation like this
[tex]\frac{1}{0.907185 } =\frac{81000}{x}[/tex]
Lets solve for [tex]x[/tex].
Cross multiply.
[tex]1x=81000*0.907185[/tex]
Evaluate [tex]81000*0.907185[/tex].
[tex]81000*0.907185=73481.985[/tex]
Round to the nearest tenth.
[tex]73482[/tex] metric tons
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2x+3y=102, x, plus, 3, y, equals, 10
In the xyx, y-plane, the graph of which of the following equations is perpendicular to the graph of the equation above?
Any line of the form:
y = (3/2)x + b
Is perpendicular to the given line.
Which equation is perpendicular to the given one?A general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
Two lines are perpendicular if the product between the slopes is -1.
Here we want to find a line perpendicular to:
2x + 3y = 10
We can rewrite this as:
3y = 10 - 2x
y = (10/3) - (2/3)*x
Then the slope of the perpendicular line must be such that:
a*(-2/3) = -1
a = 3/2
Then any line of the form:
y = (3/2)*x + b
Is perpendicular to the given line.
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18 What is the solution to the system of equations x - y = -1 and x-3y = - 13?
A. (5, 6)
B.
(6,5)
C. (7,8)
D.
(8,7)
Please see attached photo thanks
The single payment 2 years from now will be of $13,287.26
What is Compound interest?Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.
Given that money earns 7.74% compounded quarterly, a payment of $2,070 due 2 years ago, but not paid, and $300 today.
To calculate investments or debts with compound interests.
Where:
V(n) is the value of the debt after n years,
R is the annual interest rate,
t is the number of times the debt is going to be compounded annually,
n is the number of years the debt is going to be compounded,
P is the principal amount being owed.
we know that the debt will be cancelled in 2 years from now. Therefore we have that n = 2 for both debts, because after the 2rd year the debts.
Then you have that t = 4, because the debt is compounded quarterly.
We can add up the two principals $2,070 + $300 = $2,370 to make it our value P, so P = 9000.
And finally we have that R = 7.74.
Then, solve the equation for P
P = A / (1 + r/n)^nt
P = 2,370 / (1 + 7.74/365)(365)^(2)
P = $13,287.26
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In the critical value method, we find the area in the tail end and compare it to alpha to determine whether to reject or fail to reject the null hypothesis.
The critical value strategy entails deciding whether or not the observed test statistic is more extreme than would be anticipated if the null hypothesis were true in order to determine whether something is "likely" or "unlikely."
How do you determine the rejection zone and the crucial value?
The rejection zone is the area in which we have sufficient data to reject the null hypothesis if our test statistic falls within it. The rejection area, for the right-tailed test, for instance, is any value bigger than the critical value, or c 1 .
To execute any hypothesis test, the critical value technique entails four specific phases, which are as follows:
The null and alternative hypotheses should be specified.Calculate using the sample data and the null hypothesis as the default. the test statistic's value Using the t-statistic t=m−μ÷s/√n which follows a t-distribution with n - 1 degrees of freedom, we may test the population mean hypothesis.By determining the value of the known distribution of the test statistic such that the likelihood of making a Type I mistake is low, also known as the "significance level of the test," or (greek letter "alpha"), the crucial value can be found (typically 0.01, 0.05, or 0.10).Assess the critical value against the test statistic. Reject the null hypothesis in favor of the alternative hypothesis if the test statistic is more extreme in the alternative direction than the crucial value. When the test statistic falls inside the acceptable range,To know more about critical value method visit:
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Find the values of p for which the equation (p+1)x² + 4px +9=0 has equal roots.
The values of p for which the equation (p+1)x² + 4px +9=0 has equal roots:
p = (36 ± 59.8)/32
What is an Equation ?An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.
For example, 3x+2y=0.
Types of equation
1. Linear Equation
2. Quadratic Equation
3. Cubic Equation
Given that,
The quadratic equation,
(p+1)x² + 4px +9=0
So, for equal roots, we have:
(4p)² - 4 x (p + 1) x 9 = 0
Solving for p, we get:
16p² - 36 p -36 = 0
This is a quadratic equation, and we can find the roots using the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
Where a = 16, b = -36, and c = -36.
Plugging in the values into the formula, we get:
p = (36 ± 59.8)/32
Thus, the values of p for which the equation (p + 1)x² + 4px + 9 = 0 have equal roots are (36 ± 59.8)/32.
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PLEASE ANSWER QUICKLY!
For students majoring in Hospitality Management, it was determined that 5% have visited 1–10 states, 16% have visited 11–20 states, 45% have visited 21–30 states, 19% have visited 31–40 states, and 15% have visited 41–50 states. Suppose a Hospitality Management student is randomly selected. What is the probability that the student has visited 21 or more states?
A. 0.15
B. 0.21
C. 0.45
D. 0.79
The probability is 0.79 that a randomly chosen student has visited 21 or fewer states.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
from the given data we get,
The categories are mutually exclusive, so we have ...
P(≥21) = P(21-30) +P(31-40) +P(41-50)
= 45% +19% +15%
P(≥21) = 79%
=0.79
The probability is 0.79 that a randomly chosen student has visited 21 or fewer states.
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Astronomers believe that the radius of a variable star increases and decreases with the brightness of the star. Suppose a variable star has an average radius of 20 million miles and changes by a maximum of 1.6 million miles from this average during a single pulsation, and that the time between periods of maximum brightness is 5.2 days. Find an equation that describes the radius of this star as a function of time. (Let R be the radius in millions of miles and let t be the time in days. Assume that when t = 0 the radius is 20 million miles and increasing.) R(t) =
Let R be the radius in millions of miles and let t be the time in days. Assume that when t = 0 the radius is 20 million miles and increasing then R(t) = 20 + 1.6sin(2πt/5.2).
The equation for a sine wave is y = A sin (Bx + C) where A is the amplitude, B is the frequency and C is the phase shift.
In this case, the amplitude is 1.6.
Since the radius changes by a maximum of 1.6 million miles.
The frequency is 2π/5.2 (one full cycle of the sine wave in 5.2 days)
The phase shift is 0, since when t = 0 the radius is increasing.
The equation then becomes R(t) = 20 + 1.6sin(2πt/5.2)
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My question is in the picture below
The proportional relationship used to find the distance that the train will travel after m minutes is given as follows:
d = 0.12m.
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
Considering that when the input is of 5, the output is of 0.6, the constant of the relationship in this problem is given as follows:
k = 0.6/5
k = 0.12.
Hence the equation is given as follows:
d = 0.12m.
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