It will take 51.9 seconds to return to sea level.
What is speed?The rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered.
Using the speed - distance relationship, the time taken for the scientist to travel back to sea level would be 51.9 seconds
Distance = Speed × time
First travel :
Distance covered = 90 × 3.5 = 315 feet
Second travel :
Distance covered = 30 × 2.2 = 66 feet
Net change in position from sea level :
(315 - 66) feet = 249 feet
Maximum speed = 4.8 feet per second
Time taken = Distance / speed
Time taken = 249 ÷ 4.8 = 51.875 seconds
Hence, it will take 51.9 seconds to return to sea level.
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place the flags 1 standard deviation on either side of the mean. what is the area between these two values? what does the empirical rule say this area is?
The area between one standard deviation and either side of mean is 34%
The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all observed data will fall within three standard deviations (denoted by σ) of the mean or average (denoted by µ).
In particular, the empirical rule predicts that 68% of observations falls within the first standard deviation (µ ± σ)
95% within the first two standard deviations (µ ± 2σ)
99.7% within the first three standard deviations (µ ± 3σ).
According to the question,
If we place the flag 1 standard deviation on either side of the mean
which means flag is placed either on (µ + σ) or ( (µ - σ)
and Using Empirical rule,
68% of area lie under (µ ± σ)
Therefore , Area between either (µ + σ) or ( (µ - σ) = 68 / 2
=> 34%
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a 100 ml beaker holds 170 gg of liquid. part a what is the liquid's density in si units? express your answer with the appropriate units.
The SI unit for density is kilogram per cubic meter (kg/m³)/
The density of liquid is 0.17 × 10⁸.
Kilogram Per Cubic Meter:
The SI unit for density is the kilogram per cubic meter (kg/m3). For many situations, however, this as an inconvenient unit, and we often use grams per cubic centimeter (g/cm3) for the densities of solids and liquids, and grams per liter (g/L) for gases.
According to the question:
Firstly, have to change your units to kilograms and cubic meters. Since there are a thousand grams in a kilogram,
170g = 1.70 x 10⁻¹ kg.
Since there are a thousand milliliters in a liter and a thousand liters in a cubic meter
100ml = 1.00 x 10⁸ cubic meters
Therefore, Density= mass/volume
Density = 1.7 x 10⁻¹/ 1.00 x 10⁸ kg/m³
= 0.17 x 10⁸ kg/m³.
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Write the equation of the line that passes through the points (7, 8) and (-4, 9). Put
your answer in fully simplified point-slope form, unless it is a vertical or horizontal
line.
Answer:
y - 8 = -1/11(x - 7)
Step-by-step explanation:
Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gender of any other children. Find the probability of exactly eight boys in ten births.
There is a 0.044% probability of having exactly 8 boys in a sample of 10 births.
What is probability?
Simply put, the probability is the likelihood that something will occur.
When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.
Statistics is the study of events that follow a probability distribution.
For instance, there is only one way to receive a head and there are a total of two possible outcomes, hence the probability of flipping a coin and getting heads is 1 in 2 (a head or tail).
P(heads) = 1/2 is what we write.
So, X is the proportion of boys among n particular births. Let p represent the likelihood of having a boy at a certain birth.
Here n=10.
Additionally, because male and female births are equally likely, there is a 50% chance of having a boy or a girl.
P(Boy) = P(girl) = 0.5
p = 0.5
Based on the information provided, there will be a defined number of trials (n) of 10, with a constant chance of success (p).
Furthermore, every trial stands alone from the others.
So, with n=10 and p=0.5, X follows a binomial distribution.
The following is the probability function of the binomial distribution for the k number of successes, where x = k.
[tex]\mathrm{P}(\mathrm{X}=\mathrm{k})=(10 C k) 0.5^k(1-0.5)^{10-k}[/tex]
Finding the likelihood of 8 boys in n=10 births is necessary.
P(X=8) = (10C8)0.5⁸(1-0.5)¹⁰⁻⁸
= 45 × 0.0039 × 0.25
P(X = 8) = 0.0438
Therefore, there is a 0.044% probability of having exactly 8 boys in a sample of 10 births.
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a right triangle has a hypotenuse of length 3 units and one side of length 2 units. what is the area of the triangle?
The area of the triangle is 3 units² which has a hypotenuse of 3 units and a side of 2 units.
What is a triangle?A triangle is a 3-sided polygon that is occasionally (though not frequently) referred to as the trigon.
There are three sides and three angles in every triangle, some of which may be the same.
In the case of a right triangle, the three sides are given unique names: the hypotenuse, which is the side that faces the right angle, and the legs, which are the other two sides.
Every triangle is bicentric and convex.
The triangle's interior is the area of the plane it encloses; the outside is the rest of the plane.
So, the area of the triangle will be:
We know that the hypotenuse is 3 units.
The length of the other side is 2 units.
Area of triangle formula: 1/2 * base * height
Now, insert values in the formula and calculate:
1/2 * base * height
1/2 * 2 * 3
3 units²
Therefore, the area of the triangle is 3units² which has a hypotenuse of 3 units and a side of 2 units.
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3. AABC AEFG, mZA = 25°, and m/F = 100°.
What is m/C?
A. 125°
B. 100°
C. 55°
D. 25°
Answer: A
Step-by-step explanation: To solve this problem, we need to use the properties of triangles and the given information to determine the measure of angle C.
First, we can use the fact that angle A is opposite angle C to deduce that angles A and C are congruent (i.e. they have the same measure). This means that the measure of angle C is 25 degrees.
Next, we can use the fact that triangle AABC is isosceles (i.e. it has two sides of equal length) to deduce that angle B is also 25 degrees. This is because the sum of the interior angles of a triangle is 180 degrees, so if angle A is 25 degrees and angle C is 25 degrees, then the remaining angle, angle B, must be 180 - (25 + 25) = 130 degrees.
We can also use the fact that triangle AEFG is isosceles to deduce that angle F is also 100 degrees. This is because the sum of the interior angles of a triangle is 180 degrees, so if angle E is 100 degrees, then the remaining angle, angle F, must be 180 - 100 = 80 degrees.
Finally, we can use the given information that the measure of angle Z is 25 degrees and the measure of angle F is 100 degrees to deduce that the measure of angle X is 180 - (25 + 100) = 55 degrees. This is because the sum of the interior angles of a triangle is 180 degrees, and we have already determined the measures of two of the angles (angles Z and F).
Therefore, the measure of angle C is 25 degrees, which means the correct answer is A) 125 degrees.
A student wants to compare textbook prices for two online bookstores. She takes a random sample of five textbook titles from a list provided by her college bookstore, and then she determines the prices of those textbooks at each of the two websites. The prices of the five textbooks selected are listed below in the same order for each online bookstore. com: $115, $43, $99, $80, $119 com: $110, $40, $99, $69, $109 Are these independent or dependent samples? Dependent. Different textbooks are being compared. Dependent. The same textbooks are being compared. Independent. Different textbooks are being compared. Independent. The same textbooks are being compared. To construct a confidence interval, the data must be checked for outliers. (Is it reasonable to assume that the data came from a normal population?) Which variable should be checked? the prices of textbooks from B.com the difference between the average textbook price for A.com and the average textbook price for B.com the difference between the textbook price from A.com and the textbook price from B.com for each textbook, the prices of textbooks from A.com Find a 96% confidence interval for the mean difference in textbook prices at the two online bookstores. (Use d = A.com - B.com.) (Use 3 decimal places)
A 96% confidence interval for the mean difference in textbook prices at the two online bookstores is (3.22,8.38).
What is a confidence interval?
An estimated range for an unknown parameter is known as a confidence interval. The 95% confidence level is the most popular, however other levels, such as 90% or 99%, are occasionally used when computing confidence intervals.
Here, we have
The mean and standard deviation are M = 5.8 and s = 4.658
To calculate the estimated standard error, we apply
S = [tex]\sqrt{s^2/n}[/tex]
=[tex]\sqrt{4.658^2/5}[/tex]
= 2.08
The 96% confidence interval is :
CI = x ±t₉₆s/√n
= 5.8 ±2.7764× 2.08/√5
= 5.8±2.58
= (3.22,8.38)
Hence, a 96% confidence interval for the mean difference in textbook prices at the two online bookstores is (3.22,8.38).
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Hilary paints a wall in her bedroom that has two windows, as shown. What percent of the wall does she paint? Round your answer to the nearest whole percent, it necessary.
The percent of the wall does she paint will be;
⇒ 79%
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
The length of room wall = 8 feet
The width of room wall = 12 feet
The length of windows = 5 feet
The width of windows = 2 feet
Now,
The area of wall = 12 x 8 feet²
= 96 feet²
And, The area of windows = 5 x 2 feet²
= 10 feet²
Hence, The area of paints a wall in her bedroom = 96 - 2 (10)
= 96 - 20
= 76 feet²
So, She paint the wall of area 76 feet².
Since, The area of whole wall = 96 feet²
But, There are two window.
So, The percent of only wall paint of are 76 feet² = 100 x 76 / 96
= 79.16%
Thus, The percent of the wall does she paint to the nearest whole percent will be;
⇒ 79%
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Hi pls help me
Answer also the 3 questions
Step-by-step explanation:
the table was filled correctly already by somebody yesterday.
the important thing to remember is that an arc angle is always measured at the center point of the circle. that is the difference to angles between the intersecting lines of arc segments.
it would be really important that you start doing these things yourself. this hands-on experience of these (really basic) questions is designed to help you get a feeling how these things work together, which makes later topics much easier for you.
please tell me what you don't understand here. you only need to apply common sense. no magic voodoo math formulas or strategies.
FAR = 100° FR = 140° VO = 60° FR+VO = 200°
FAV = 80° FV = 60° RO = 100° FV+RO = 160°
OAV = 100° VO = 60° FR = 140° VO+FR = 200°
OAR = 80° RO = 100° FV = 60° RO+FV = 160°
how did we get the measures of the intercepted arcs ? by counting the 20° segments on the arc. the full circle arc represents 360°. always, for every circle. one time around is one time around and therefore 360°, no matter the size of the circle.
when you stand directly on the south pole of the Earth for 24 hours, you will have rotated the full 360° in that time (one rotation per day). if you stand on the equator for 24 hours, the Earth has taken you on one spin of the full 360°. the difference is the absolute arc length and the necessary speed at which we cover the distance of a full arc length.
every 250 million years our whole sogar system rotates once (by the full 360°) around the center of our galaxy.
the degrees have nothing to do with radius, diameter, area, ... of a circle. only with the relative parts of the circumference. when the minute arm of a clock moved for 15 minutes, then it went 90° around the clock's face. after 60 minutes it went the full 360°, and the cycle starts anew.
so, minutes on a clock or hours of the day are just another way of counting degrees around a circle.
what have we noticed with the sum of the measures of the intercepted arcs ?
many things.
e.g.
they are exactly twice as large as the line angles. 100 to 200. 80 to 160.
the sum of 2 pairs of opposing arc angles is always 360°.
...
so, how will we get the line angles based on the sum of the angles of the intersected arcs ?
we cut the sum of the intersected arc angles in half. 200 to 100. 160 to 80.
What is 6 13/15 rounded to the nearest whole number?
Answer:
The answer is 7
Step-by-step explanation:
Assume the variable s has been assigned a value, and the variable the_set refers to a set. Write an expression that whose value is True if the value that is referenced by s is in the_set.
s in the_set
s in the_set is the expression that whose value is true if the value that is referenced by s in the_set.
The right response to the question is assignment operator (=). Explanation: The = operator is used to assign a value to a variable, or we may say to hold the value of a variable. An assignment operator is referred to as the = operator.
A variable's name and storage space are assigned when a value is to be stored there. We saw that we could provide a variable both a string (text) and a numeric value. We also saw that we could give a variable a new value, replacing any previous ones, by reassigning it.
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There are 60 students in Kinsley's grade. 3 of the students are enrolled in health. What
percentage of the students are enrolled in health
between 1998 and 2018, the proportion of adults who meet the weekly goal of 150 minutes of moderate exercise or 75 minutes of intense exercise has by percent.
The weekly goal of 150 minutes of moderate exercise or 75 minutes of intense exercise has increased by 22.9 percent.
The intensity of exercises depends on mostly the amount of energy you have to spend. But the time spent also differs. Intense exercises are basically exercises that require you to expend more energy than how much you spend on normal exercise. Any exercise becomes intense when you spend 70 to 85 percent of your maximum heart rate working out. It is vigorous but you get the same amount of calories burned.
Moderate exercises are the normal ones. These require normal intake of heart rate and energy but take more time. The walk from your house to your college/school or the normal crunches and all you do are perfect examples of moderate exercises.
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a single die is rolled twice. find the probability of getting a 3 the first time and a 3 the second time.
The probability of rolling a 3 the first time and a 3 the second time is 1/36.
Given that,
There are two rolls of one die.
We have to determine the probability of receiving a 3 both the first and second times.
We know that,
There are 6 faces on a die.
Of these 6 faces, one of them is 3 and one of them is 3
So, the probabilities of rolling a 3 and a 3 are:
P(3) = 1/6
P(3) = 1/6
The probability of rolling a 3 the first time and a 3 the second time is calculated as follows:
Pr=P(3)×P(3)
This gives
Pr=1/6×1/6
Multiply
Pr=1/36
Therefore, the probability of rolling a 3 the first time and a 3 the second time is 1/36.
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On a coordinate plane, a dashed straight line with positive slope goes through (0, 0.75) and (2, 4.75). Everything to the left of the line is shaded.
Which inequality is represented by the graph?
A. y > 2x + (3/4)
B. y < 2x + (3/4)
C. y > (1/2)x + (3/4)
D. y < (1/2)x + (3/4)
Which point is a solution to the inequality?
A. (-2, -4)
B. (-1, -2)
C. (1, 2)
D. (2, 5)
The inequality is represented by the equation
A. y > 2x + (3/4)D. (2, 5) is the solution of the inequality
How t find the inequality representedThe given points are (0, 0.75) and (2, 4.75) these is used to calculated the slope
m = (y - y') / (x - x')
m = (4.75 - 0.75) / (2 - 0)
m = 4 / 2 = 2
using the point slope formula which is
(y - 4.75) = 2 (x - 2)
y - 4.75= 2x - 4
y = 2x + 0.75
y = 2x + 3/4
dashed straight line with positive slope goes and Everything to the left of the line is shaded means greater than >
y < 2x + (3/4)
Watching the graph the solution is D(2, 5) this point is in the shaded area
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As a club fundraiser, a group of students washed 40 cars one weekend. The next weekend, they washed 70 cars. what was the percent increase in the number of cars washed
Answer:
15%
Step-by-step explanation:
i hope i got this right
Answer:
15% is the answer to your question
Find the values of the variables in each parallelogram
Adjacent angles of a parallelogram are supplementary.
[tex]y+3y=180 \\ \\ 4y=180 \\ \\ y=\boxed{45} \\ \\ \\ \\ 3(45)+3x=180 \\ \\ 45+x=60 \\ \\ x=\boxed{15}[/tex]
The wholesale price of a TV is $650. The store markup is 15%. What is the retail price of the TV?
Answer:
$747.50
Step-by-step explanation:
Simplify the following by applying the laws of exponents.
Expression [tex]\frac{x^7y^5}{x^2y^3}[/tex] can be simplified as x⁵y² by applying laws of components.
What is an algebraic expression?An algebraic expression is consists of variables, numbers with various mathematical operations,
The given expression is,
[tex]\frac{x^7y^5}{x^2y^3}[/tex]
Simplify the expression by using law of exponents [tex]a^n/a^m =a^{(n-m)[/tex],
The expression can be rewritten as,
= [tex]x^{(7-2)}{y^{(5-3)}[/tex]
= x⁵ y²
The expression can be simplified as x⁵y².
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Unit 5 relationships with triangle homework3
3456
Step-by-step explanation:
2x2=4 3456 67867789990
A distribution has a mean of 16 and a standard deviation of 6. What is the z score that corresponds with 25?.
Using the normal distribution formula, we know that the z score that is equivalent to 25 is 1.5.
What is a normal distribution?A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.
The characteristics of normal distributions are as follows: Bell-like in its symmetry.
The distribution's mean and median, which are both at its center, are equal.
68 percent of the data, or approximately, falls within one standard deviation of the mean.
So, the formula is used to determine the Z score for a data point x in a normal distribution:
Z = z - mean/standard deviation
Now, use the formula to calculate the z value as follows:
Z = z - mean/standard deviation
Z = 25 - 16/6
Z = 9/6
Z = 3/2
Z = 1.5
Therefore, using the normal distribution formula, we know that the z score that is equivalent to 25 is 1.5.
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I REALLY NEED HELP PLEASEE
Show that Φ(u,v)=(7u+4,u−v,13u+v) parametrizes the plane 2x−y−z=8. Then: (a) Calculate Tu , Tv, and n(u,v). (b) Find the area of S=Φ(D), where D=(u,v):0≤u≤5,0≤v≤6. (c) Express f(x,y,z)=yz in terms of u and v and evaluate ∬sf(x,y,z)ds(a) Tu= , Tv= , n(u,v)=_______________(b) Area(S)=_______(c) ∬sf(x,y,z)ds=___________
Answer:
Step-by-step explanation:
1.Φ(u,v) gives the parametrization with its x, y, and z components. So, x=7u+4, y=u-v, and z=13u+v. We can use this to get the tangent vectors by taking the respective partial derivatives. Tu=<7, 1, 13> by taking the u derivatives of the components and Tv=<0, -1, 1> by taking the v derivatives of the components.
2. Taking the cross product of Tu and Tv will give the normal vector n(u,v), which is <14, -7, -7>
3. To find Area(S), you have to multiply the area of D by the magnitude of the normal vector from the previous step. D is the region defined by 0<=u<=5 and 0<=v<=6, so the area of D is 5*6=30. Multiply this by the magnitude of the normal vector to find that Area(S)=30sqrt(294)
4. To integrate, we first must put the initial function in terms of the parameters we found in the first step. Replace y with u-v and z with 13u+v. Next, multiply this integrand by the magnitude of the normal vector (sqrt294) and apply the given bounds for u (0<=u<=5) and v (0<=v<=6). From here the problem can be integrated like any other double integral, the final answer being 190sqrt(294)
Natalie needs to compare the number of employees by job title for the last five years. Which of the following charts should Natalie use?
Answers: A. Pie chart
B.Clustered column chart
C.Histogram
D.Scatter chart
Natalie should use Clustered Column Chart.
What is a Clustered Column Chart?
A clustered column chart is a vertical representation that shows data in groups (columns) that are connected to one another. Each column's data is separated into categories according to an attribute like year, age, sex, or race.For the purpose of comparing various variables, many bars are clustered in the same class in a clustered-column (bar) chart which is a specific kind of column (bar) chart. Hence, (B.) Clustered Column Chart is the correct option.
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GIVING BRAINLIEST!!!!!!!!!
Fill in the blank with the correct response. What is the scale factor? RST ~ MNO?
RST = 3, 5.5
MNO= 6 , X
what is the scale factor?
The scale factor is 2 if the two triangles are similar to each other after applying the property of a similar triangle.
What is a scale factor?The ratio among comparable dimensions of an object and a model with that object, known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.
It is given that:
Two triangles are shown in the picture
From the definition of the similar triangle.
Scale factor = 6/3 = 2
Thus, the scale factor is 2 if the two triangles are similar to each other after applying the property of a similar triangle.
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what fraction is exactly between 4/7 and 3/5
Answer:41/60
Step-by-step explanation:
3/5 and 4/7 can also be expressed as 21/30 and 20/30 respectively.
(7 and 5 have a common multiple of 30) if you multiply both of these by 2/2 (aka 1) then you get 42/60 and 40/60 respectively.
In between these 2 fractions is 41/60.
Explain in detail with at least two sentences how to graph the complex number z = 3-5i in the complex
plane
A complex number is represented on a complex plane. The number [tex]z = 3-5i[/tex] is represented in a smilar manner as real numbers but y axis cosidered a imaginary axis.
What is a complex plane?
A complex plane is formed by complex numbers in a similar manner as the Cartesian coordinate system. But the x axis is made up of real numbers and y axis is made up of imaginary numbers.
A complex number is plotted on a complex plane. In the complex plane the x axis is known as the real axis and the y axis is known as the imaginary axis.
Consider the given complex number.
[tex]z = 3-5i[/tex]
Here, 3 is real number and -5 is imaginary number.
Since 3 is real number hence, move 3 steps in the right direction on x axis. Now, -5 is the imaginary number hence, move 5 steps in the downward direction parallel to the y axis.
The final position is [tex]z = 3-5i[/tex].
Hence, a complex number is represented on a complex plane.
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The action of a waterwheel can be modeled by the function y = 3 cos (π (x-3) + 2).
Within the interval 0
that value?
Answer:
y = 3 cos (π (0-3) + 2)
y = 3 cos (-2π + 2)
y = 3 cos (-2)
y = 3(-1)
y = -3
A field measures 40 by 80 yards. Larysa makes a scale drawing with a scale of 1 in. to 5 yd., and Prakash makes his own scale drawing with a scale of 1 in. to 8 yd. Whose drawing has a larger area? Explain your reasoning.
Answer:
larysa got a larger drawing because 1 in 5 is bigger then 1 in 8 yards so that makes her area way larger
What horizontal distance did the ball travel before it hit the ground?
Answer:
21 meters
Step-by-step explanation:
you can see it goes 21 meters before it hits the ground
Answer:
21 is the answer