Answer:
C. Simple interest involves interest calculated only on the principal. Compound interest is interest computed on the original principal as well as on any accumulated interest.
Step-by-step explanation:
mean is 75 beats per min . s/d is 12.5 if 16 female adults randomly selected find the probability that they have pulse rates with mean less than 78 beats per min
The value of probability that they have pulse rates with mean less than 78 beats per min is,
⇒ 0.5948
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one
Given that;
Mean is 75 beats per min.
And, Standard deviation is, 12.5
Hence, We get;
z = (78 - 75) / 12.5
z = 3/12.5
z = 0.24
Hence, The probability is, 0.5948
Thus, The value of probability that they have pulse rates with mean less than 78 beats per min is,
⇒ 0.5948
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round to the nearest tenth solve for x, proofs needed
Using the Pythagorean theorem we can see that x = 9.3
How to find the value of x?Think of a right triangle with a hypotenuse of 16, a cathetus of 18 - 5 =13, and the other cathetus is x (we are ignoring the right part of the figure, only look at the triangle in the left)
Then we can use the Pythagorean theorem (the sum of the squares of the legs is equal to the square of the hypotenuse) to find the value of x.
x = √(16² - 13²) = 9.3
That is the value of x.
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A basic set of drawing pencils costs $8.98. A professional set of drawing pencils costs $27.49. How much more does the professional set cost than the basic set?
4. The table shows the number of votes
of 120 students for their choice of field
trip. Match the field trip with the
measure of each section in a circle
graph used to display the data.
Aquarium
Science museum
Botanical gardens
Planetarium
Mus Malaha
54°
00
0
0
72°
00
0
0
90°
0
0
0
0
Field Trip
Aquarium
Science museum
Botanical gardens
Planetarium
144°
□
0
U
Number of Votes
30
48
18
24
The sectors of the circle graph is solved and the field trip with the measure of section is
Aquarium = 90°
Science Museum = 144°
Botanical Gardens = 54°
Planetarium = 72°
What is the Area of the Sector?In circles, a sector is said to be a part of a circle made of the arc of the circle together with its two radii. This means that it is a portion of the circle formed by a portion of the circumference (arc) and radii of the circle at both endpoints of the arc.
The formula for Area of a sector is given as;
θ/360 * πr²
where;
θ is the central angle of the sector
r is radius
Now, looking at the given options we can say that the only one that represents the area of the sector is;
A = n/360 * πr²
where n is the central angle of the sector
Given data ,
Let the area occupied by the circle be represented as A
Now , the values of A are
Let the field trip be represented as y
Let the number of votes be represented as x
y = { Aquarium , Science Museum , Botanical Gardens , Planetarium }
x = { 30 , 48 , 18 , 24 }
Now , the total sector angle occupied by field trip is T = 120°
x₁ = ( 30/120 ) x 360
x₁ = ( 1/4 ) x 360
x₁ = 90°
when x₂ = 48
x₂ = ( 48/120 ) x 360
x₂ = ( 0.4 ) x 360
x₂ = 144°
when x₃ = 18
x₃ = ( 18/120 ) x 360
x₃ = ( 0.15 ) x 360
x₃ = 54°
when x₄ = 18
x₄ = ( 24/120 ) x 360
x₄ = ( 0.2 ) x 360
x₄ = 72°
Hence , the measures of the section of circle is solved
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Gabby gets paid 10$ for every dog she walks. The amount of money she earns depends on the number of dogs she walks.
This equation works for any number of dogs, as long as the rate remains constant.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
That's correct, Gabby's earnings are directly proportional to the number of dogs she walks. We can use a simple equation to represent this relationship:
Earnings = Rate x Number of Dogs
In this case, Gabby's rate is $10 per dog, so the equation becomes:
Earnings = 10 x Number of Dogs
For example, if Gabby walks 5 dogs, her earnings would be:
Earnings = 10 x 5 = $50
If she walks 8 dogs, her earnings would be:
Earnings = 10 x 8 = $80
And so on.
Therefore, This equation works for any number of dogs, as long as the rate remains constant.
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Geometry triangle inequality theorem
The Required explanation of triangle inequality theorem has been done.
What is inequality?In mathematics, inequalities specify the connection between two non-equal values. Equal does not imply inequality. Typically, we use the "not equal symbol ()" to indicate that two values are not equivalent. But various inequalities are used to compare the values, whether it is less than or larger than.
According to question:The triangle inequality theorem states that for any triangle, the sum of the lengths of any two sides is always greater than the length of the third side. Mathematically, if a, b, and c are the lengths of the sides of a triangle, then a + b > c, b + c > a, and c + a > b.
This theorem is a fundamental principle in geometry and can be used to prove many other theorems related to triangles.
It is also used in everyday life, such as in designing bridges, ensuring the stability of buildings, and determining the shortest distance between two points.
The triangle inequality theorem is a powerful tool in mathematics and is a key concept for anyone studying geometry.
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Find the equivalent expression using the
same bases.
1080
Clear all
(21.15)⁹
Enter the correct answer.
000
DONE
(21)⁹ . (15)⁹ is the equivalent expression using the same bases.
What are power and exponent?
One can represent extremely big or extremely small numbers in a more straightforward fashion by using exponents and powers. For instance, we can write 3 x 3 x 3 x 3 as 34, where 4 is the exponent and 3 is the base, to demonstrate 3 x 3 x 3 x 3 in a straightforward manner.
It is claimed that the entire statement 34 possesses power. How many times you should multiply a number depends on its power. Other names for powers include exponents and indices.
using (a.b )ⁿ = (a)ⁿ . (b)ⁿ
( 21.15)⁹ = (21)⁹ . (15)⁹
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Divide 480g in the ratio 5,3,4
The weights of the three parts are 200g, 120g, and 160g, respectively, in the ratio of 5:3:4.
What is Ratio?
A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six.
To divide 480g in the ratio 5:3:4, we need to divide the total amount into 3 parts (corresponding to the three parts of the ratio), where the first part is 5/12 of the total, the second part is 3/12 (or simplified, 1/4) of the total, and the third part is 4/12 (or simplified, 1/3) of the total.
To find the weight of the first part (in the ratio of 5), we need to multiply the total weight by the fraction representing the first part of the ratio:
5/12 * 480g = 200g
To find the weight of the second part (in the ratio of 3), we need to multiply the total weight by the fraction representing the second part of the ratio:
1/4 * 480g = 120g
To find the weight of the third part (in the ratio of 4), we need to multiply the total weight by the fraction representing the third part of the ratio:
1/3 * 480g = 160g
Therefore, the weights of the three parts are 200g, 120g, and 160g, respectively, in the ratio of 5:3:4.
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suppose A and B are dependent events. If P(A)= 0.4 and P(B)= 0.9, what is P(AnB)
The value of the probability P(A n B) is 0.36
How to determine the value of the probabilityFrom the question, we have the following parameters that can be used in our computation:
A and B are dependent events.
P(A)= 0.4 and P(B)= 0.9
Using the above as a guide, we have the following:
P(A n B) = P(A) * P(B)
Substitute the known values in the above equation, so, we have the following representation
P(A n B) = 0.4 * 0.9
Evaluate
P(A n B) = 0.36
Hence, the solution is 0.36
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A marketing specialist at a large bank analyzes global commercial and residential real estate property indexes.
What inference can be drawn from these graphics?
A person who moved from Spain to Australia in 2010 would probably be alarmed by the high prices of homes in Australia.
The majority of individuals who purchased commercial real estate in the UK in 2004 and sold it in 2008 most likely suffered a huge loss.
If the trends shown in the graphics continued to the present day, a couple from the US who moves to France should expect to pay more for a similar home there.
Based on the trends shown, it is probable that since 2010 commercial real estate prices have increased in all countries except the UK, US, and Australia.
According to the graphs, the most accurate conclusion is that a person who moved from Spain to Australia in 2010 would probably be alarmed by the high prices of homes in Australia (option A).
How to select a suitable conclusion to the graphics?To select an appropriate conclusion that matches the information in the graphs we must carefully analyze the information in the graphs. Additionally, we can read each of the options and check them with the trends shown in the graphs.
In accordance with the above procedure, we can infer that the most accurate conclusion is that a person who moved from Spain to Australia in 2010 would probably be alarmed by the high prices of homes in Australia because the Residential real estate graph shows that In 2010 housing was more expensive in Australia than in Spain.
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Please help me solve !!!!
Answer:
length of rectangular prism: 9 feet
width of rectangular prism: 9 feet
Step-by-step explanation:
volume= length x width x height
567/7=81
Since 81 cubic feet squared is the area of the base; the square bottom, you will need to find the square root of 81 which is 9 since 9 times 9 equals 81.
how to solve this?
given
[tex] \frac{4}{25} = 0.16[/tex]
what is
[tex] \frac{21}{25} [/tex]
as a decimal
Answer:
= 0.375
Step-by-step explanation:
then 3/8 to it decimal fraction
[tex] \frac{3}{8} \\ = 0.375[/tex]
The technician at the store worked on the computer for 5.5 hours and charged him $109 for parts. The total was $576.50. What was the cost of labor, per hour?
Answer:
$85.00
Step-by-step explanation:
Let's first subtract the cost of the parts from the total to find the cost of the labor:
Cost of labor = Total cost - Cost of parts
Cost of labor = $576.50 - $109
Cost of labor = $467.50
We know that the technician worked for 5.5 hours, so we can find the cost of labor per hour by dividing the cost of labor by the number of hours:
Cost of labor per hour = Cost of labor / Number of hours
Cost of labor per hour = $467.50 / 5.5
Cost of labor per hour = $85
Therefore, the cost of labor per hour is $85.
Jorge's 3/4 hr drive to a job was part city and part country drivingIf 2/11 hr was city driving, how much time was spent on country driving?
Using arithmetic operation, the value for time spent on country driving is obtained as 25/44 hour.
What is arithmetic operation?
A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.
Jorge's drive was 3/4 hour, and 2/11 hour of that time was spent on city driving.
To find the time spent on country driving, we can use arithmetic operation of subtraction.
Subtract the time spent on city driving from the total driving time -
Time spent on country driving = Total driving time - Time spent on city driving
= 3/4 hour - 2/11 hour
To subtract these fractions, we need a common denominator.
The smallest number that 4 and 11 both divide into is 44 -
3/4 = 33/44
2/11 = 8/44
So -
Time spent on country driving = 33/44 hour - 8/44 hour
= (33 - 8)/44 hour
= 25/44 hour
Therefore, Jorge spent 25/44 hour driving on country roads.
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x2/3 is the same as x^2/x^3
Answer:
Step-by-step explanation: true
A merry go round is 8 feet away from a wall and has a radius of 42
feet. From the starting point, the merry go round rotates 130°
counter clockwise. Use the diagram below to find the distance from
the wall at point A. Round your answer to the nearest hundreth.
130°
42 feet
start
Using law of cosine, the distance from the wall at point A is approximately 21.32 feet.
What is the distance from the wall at point AWe can use the law of cosines to find the distance from the wall at point A. Let's call this distance d.
In the triangle formed by the center of the merry-go-round, point A, and the point where the merry-go-round touches the wall (let's call this point B), we know that:
Angle AOB (the central angle formed by the rotation of 130 degrees) is 130 degrees.Side OA (the radius of the merry-go-round) is 42 feet.Side AB (the distance we want to find) is d + 8 feet (since the merry-go-round is 8 feet away from the wall).Side OB (the distance from the center of the merry-go-round to the wall) is 8 feet.Using the law of cosines, we have:
(8)^2 = (42)^2 + (d + 8)^2 - 2(42)(d + 8)cos(130)
Simplifying and solving for d, we get:
d = sqrt[ (8)^2 - (42)^2 cos^2(130) ] - 8
Plugging in the values, we get:
d ≈ 21.32 feet
Therefore, the distance from the wall at point A is approximately 21.32 feet.
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what is the difference in lengths of tthe two pencils?
Answer:
depends
Step-by-step explanation:
?
The area of a circle is 367pie ft².
What is the diameter of the circle?
Enter your answer in the box below.
What is double fifteen point 5
Answer: 31
Step-by-step explanation:
For the graph below which of the following is a possible function for f
From the given options, option 1 depicts a decreasing function. Hence, option 1 is the correct answer for the graph.
What is decreasing function graph?Calculus uses a function's derivative to determine whether a function is rising or decreasing at various intervals in a specific domain. Given a given function, y = F(x), the function is known as an increasing function if the value of y increases as the value of x increases, and the function is known as a decreasing function if the value of y decreases as the value of x increases.
We observe that the function of f approaches to 0 as it moves towards infinity. Thus, it is a decreasing function.
From the given options, option 1 depicts a decreasing function. Hence, option 1 is the correct answer.
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A marine biologist was interested in seeing the relationship between a manatee's weight and height. She gathered data and wanted to construct a graph to display the data in order to observe this relationship.
Is a scatter plot or a line graph more appropriate to construct for the data, given the context of the problem? Explain.
A scatter plot, because it would show the association or relationship between two variables
A scatter plot, because it would show how a variable changes over time between each data point given
A line graph, because it would show the association or relationship between two variables
A line graph, because it would show how a variable changes over time between each data point given
The correct answer is a scatter plot, because it would show the association or relationship between two variables.
What is a scatter plot?A scatter plot is a graph that displays values of two variables on two axes. It is used to show the relationship between the two variables and how one variable affects the other. It is also known as a scatter graph, scatter chart, scattergram, or scatter diagram. The points are plotted on a graph and can be used to identify patterns and trends in the data.
A scatter plot can be used to display the relationship between two variables, such as the weight and height of a manatee. The points on the scatter plot would represent each manatee's weight and height, and the pattern of the points can be used to see the overall relationship between the two variables. A line graph, on the other hand, is used to show how a variable changes over time between each data point given, and would not be suitable for this context as the data collected is not related to time.
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PLS ANYONE HELP ME ANYONE?!!!!!??!!!
The correct ordered pair for the data is (1, 2), (2, 4), (3, 6), and (4, 8). The correct option is A.
What is an ordered pair?An ordered pair in mathematics is a set of two things. The order of the objects in the pair matters because, unless a = b, the ordered pair differs from the ordered pair. Ordered pairs are also known as 2-tuples or 2-length sequences.
Number of Boxes of Popcorn Cost ($)
1 2
2 4
3 6
4 8
The ordered pair of the data is,
(1, 2),
(2, 4),
(3, 6),
(4, 8),
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lkdmwkdpnmpwmxwdm,mw df
Answer:
hi
Step-by-step explanation:
thanks for the poi
Help please and please explain how to solve this
The expression 9(2)5x+109(2)5x+10 is rewritten as 9(h)x+29(h)x+2. What is the value of h?
The value οf h is apprοximately 2.83. Sο the answer is (A) 2.
What is the expοnential expressiοns?Expοnential expressiοns invοlve a base number raised tο a pοwer οr expοnent. The expοnent indicates hοw many times the base number shοuld be multiplied by itself.
We can simplify the expressiοn [tex]9(2)^{5x+10}[/tex] as follows:
[tex]9(2)^{5x+10} = 9(32)^{x+10}[/tex]
We can then rewrite this expression as [tex]9(h)^{x+2},[/tex] where h is a variable:
[tex]9(h)^{x+2} = 9(32)^{x+10}[/tex]
Comparing the expοnents of h and 32, we can see that h = [tex]2^{(5/2)}[/tex], or h = 2 * sqrt(2) = 2.83 (rounded to twο decimal places).
Hence, the value οf h is approximately 2.83. So the answer is (A) 2.
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Solve the problem using your graphing calculator. Round all parameter values to the nearest hundredth. Gracie keeps track of her energy bill during the winter months. She recorded her results in the following table: Mean Temperature (°F) Electricity Bill ($) 16 143 19 164 26 141 36 118 18 172 47 50 34 121 15 275 17 250 41 75 43 211 What is the value of the correlation coefficient?
The mean temperature increases, the electricity bill decreases.
What is the scatter plots?
A scatter plot is a type of graph that is used to display the relationship between two continuous variables.
To find the correlation coefficient, we first need to plot the data points on a scatter plot. We can use a graphing calculator to do this.
Here are the steps:
Press the STAT button on your calculator.Press the EDIT button to enter the data into lists.Enter the Mean Temperature values into L1 and the Electricity Bill values into L2.Press the STAT button again, then select CALC.Choose option 4: LinReg (ax+b).Enter L1 as the X List and L2 as the Y List.Make sure the Freq setting is set to 1.Press ENTER to calculate.The calculator will display the equation of the line of best fit, as well as the correlation coefficient (r).
Using these steps, we get a correlation coefficient of approximately -0.83. Rounded to the nearest hundredth, the correlation coefficient is -0.83.
This negative correlation coefficient indicates a strong negative relationship between mean temperature and electricity bill.
Hence, the mean temperature increases, the electricity bill decreases.
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Fatimah, an engineer at a typical dam and reservoir in an arid region, needs to come up with a solution to reduce the amount of water that the dam's reservoir loses every year. Because funds are tight, she must only address the largest source of water loss for the reservoir. Assuming that she is not technologically restricted and that she can feasibly undertake any of these actions, what action would best address the reservoir's water loss?
The most effective action that Fatimah can take to reduce the reservoir's amount of water loss is to install an evaporation control system.
What is amount?
Amount is a term used to refer to the quantity or magnitude of something, typically in financial or numerical terms. It can refer to physical items such as money, goods, or services, as well as abstract concepts such as time, distance, or energy. The amount of something is usually determined by measuring, counting, or weighing it.
Evaporation is a major source of water loss in arid regions, as the dry air quickly absorbs the moisture from the reservoir's surface. By installing an evaporation control system, Fatimah can reduce the amount of water lost to evaporation by using a variety of strategies. These strategies can include the use of an impermeable membrane to cover the reservoir's surface, the installation of windbreaks to reduce the speed of the wind over the water, and the use of chemicals to reduce the rate of evaporation. All of these strategies can be used to drastically reduce the amount of water lost to evaporation.
The installation of an evaporation control system can also be relatively inexpensive compared to other solutions. For instance, compared to installing a new water pump system or rerouting water to the reservoir, installing an evaporation control system can be done quickly and at a lower cost. This makes it a more suitable solution for Fatimah's limited budget.
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How do I evaluate the limit?
In answering the question above, the solution is As a result, when x gets function closer to infinity, the function's limit is equal to 0.
what is function?Mathematicians investigate the relationships between numbers, equations, and related structures, as well as the locations of forms and possible placements for these items. A set of inputs and their corresponding outputs are referred to as a "function" in this context. If each input results in a single, unique output, the relationship between the inputs and outputs is known as a function. Each function has its own domain, codomain, or scope. A common way to denote functions is with the letter f. (x). is an x for entry. One-to-one capabilities, so multiple capabilities, in capabilities, and on functions are the four main categories of accessible functions.
The idea of dominating words can be used to solve this constraint. We see that the denominator x2+8 grows significantly greater than the numerator x-6 as x goes to infinity, therefore we may disregard the smaller component in the numerator and denominator.
As a result, the phrase may be simplified as follows:
Limit x (x - 6) / (x2 + 8) goes to infinity
x / (x2) limit x approaches to infinity
= limit x approaches to infinity 1 / limit x
= 0
As a result, when x gets closer to infinity, the function's limit is equal to 0.
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Data were collected on the weight, in ounces, of puppies for the first three months after birth. A line of fit was drawn through the scatter plot and had the equation w = 5.05 +0.3d, where w is the weight of the puppy in ounces and d is the age of the puppy in days.
What is the w-intercept of the line of fit and its meaning in terms of the scenario?
5.05; for each additional day after the puppy is born, its weight is predicted to increase by 5.05 ounces
5.05; a puppy who is just born is predicted to weigh 5.05 ounces
0.3; for each additional day after the puppy is born, its weight is predicted to increase by 0.3 ounces
0.3; a puppy who is just born is predicted to weight 0.3 ounces
The w-intercept of the line of fit is 5.05, and its meaning in terms of the scenario is that a puppy who is just born is predicted to weigh 5.05 ounces.
What are intercepts?The intercepts are defined as an intercept that is located at the axes of the graph, which are the location or coordinates from where the line crosses.
The w-intercept of the line of fit is the value of w when d = 0, which means the weight of a puppy when it is born.
According to the equation w = 5.05 + 0.3d, when d = 0, we have:
w = 5.05 + 0.3(0) = 5.05
Therefore, the w-intercept of the line of fit is 5.05,
This means in terms of the scenario that a puppy who is just born is predicted to weigh 5.05 ounces.
Hence, the correct answer is B.
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Explain the distinguishing feature of the distance between the foci and a point on the ellipse
The distinguishing feature of the distance between the foci and a point on the ellipse is that it is constant for all points on the ellipse.
What is an Ellipse?
In mathematics, an ellipse is a closed curve that is symmetrical about two perpendicular lines, called the major and minor axes.
The distinguishing feature of the distance between the foci and a point on the ellipse is that it is constant for all points on the ellipse. This distance is known as the focal length or eccentricity, and it is a measure of how much the ellipse deviates from a perfect circle. The sum of the distances from any point on the ellipse to the two foci is always equal to this constant distance, which can be calculated using the equation c² = a² - b², where c is the distance between the foci, and a and b are the lengths of the major and minor axes of the ellipse, respectively.
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Answer:
Step-by-step explanation:
The sum of the distances between the foci and any point on an ellipse is a constant sum. This sum is equal to the length of the major axis.
An ellipse is a set of all points in a plane so that the sum of the distances from two fixed points, called the foci, is constant. d1 + d2 = 2a = constant. An ellipse is what we commonly call an oval and looks like a squashed or flattened circle. In fact, a circle is a special kind of ellipse where the foci are located at the center of the circle. Two fixed points on the interior of an ellipse are given by (0, c) and (0, -c) for an ellipse with a vertical orientation and by (c, 0) and (-c, 0) for an ellipse with a horizontal orientation. The larger denominator is the major axis; therefore, if the larger denominator is under the x2, the ellipse will have a horizontal orientation. If the larger denominator is under the y2, the ellipse will be oriented vertically. Because both the vertices and foci lie on the major axis, they will both have the same y-coordinate (if the major axis is horizontal) or the same x-coordinate (if the major axis is vertical).