Not answer but helpful:
The required stem-and-leaf plot shown below that the majority of the scores fall in the 20s and 30s, with some scores in the teens and low 20s.
What is stem-and-leaf plots?
A stem-and-leaf plot is a type of data display that helps to show the distribution of a set of numerical data.
here,
For the given data set:
Stem Leaf
0 4
1 1, 3, 3
2 0, 0, 0, 6, 7
3 0, 0, 0, 7
The stem-and-leaf plot shows that the majority of the scores fall in the 20s and 30s, with some scores in the teens and low 20s. The plot makes it easier to see the distribution of the data, rather than just looking at the raw values.
40% of the group are athletes. There are 20 athletes. What is the total number of people in the group
Answer:
the number of athletes is 8
Aaliyah is making a bracelet and a necklace to give to her friend. She adds 8 charms to the bracelet. Aaliyah plans to put at least as many charms on the necklace as the bracelet. Let n represent the number of charms Aaliyah might add to the necklace. Which inequality models the story?
The inequality that models the story is n ≥ 8
An inequality is a mathematical statement that compares two values or expressions using inequality symbols such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to)
The number of charms Aaliyah might add to the necklace is represented by n. Since she plans to put at least as many charms on the necklace as the bracelet, we can use the inequality symbol "≥" to indicate this relationship.
So, the inequality that models the story is
n ≥ 8
This inequality states that the number of charms added to the necklace (n) must be greater than or equal to 8, which is the number of charms Aaliyah added to the bracelet.
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cource hero the difference between measured value and true value is known as error. causes for measurement error:
Observational errors, Random errors, Systematic errors, Instrumental limitations and Personal factors are the causes for measurement error.
The difference between measured value and true value is known as error. Causes for measurement error are as follows:
Errors in the experiment can be due to various reasons like observational errors, random errors, systematic errors, errors due to instrumental limitations, and errors due to personal factors.
The difference between measured value and true value is known as error.
The following are the causes of measurement error:
Observational Errors
Observational errors are errors that occur during observation. These errors may occur due to factors such as lack of attention, inadequate experience, and poor eyesight.
Random Errors
Random errors are caused by factors that are unpredictable or random. These errors cannot be removed from the data because they are the result of random fluctuations. For example, when a thermometer is being used, the thermometer might display different temperatures for different readings.
Systematic Errors
Systematic errors are those errors that are caused by a defect in the measuring instrument or an improper calibration of the instrument. These errors can be removed by carefully calibrating the instrument and then performing the measurement.
Instrumental Limitations
Instrumental limitations are caused by the limitations of the measuring instrument. These errors can be minimized by selecting the appropriate instrument for the measurement task.
Personal Factors
Personal factors are errors that are caused by the individual performing the measurement. These errors can be minimized by providing proper training and ensuring that the individual is experienced in the field of measurement.
The above causes lead to the errors in the experiment. Hence, care must be taken to minimize these errors so that the results obtained are accurate.
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There is a right triangle with one side that says(x+42) and the other which says 3x I need to find the x help em out please
If the sides of a right triangle are x, 3x+3, and 4x-3, the value of x is 7
In a right triangle, the Pythagorean theorem states that the sum of the squares of the two shorter sides equals the square of the longest side (the hypotenuse). Using this theorem, we can set up an equation as follows
x^2 + (3x+3)^2 = (4x-3)^2
Expanding the squares, we get
x^2 + 9x^2 + 18x + 9 = 16x^2 - 24x + 9
Simplifying and rearranging terms, we get
6x^2 - 42x = 0
Factorizing out x, we get
x(6x - 42) = 0
Therefore, x = 0 or x = 7. However, since the sides of the triangle cannot be zero, we must choose x = 7 as the solution.
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I have solved the question in general as the given question is incomplete:
The complete question is:
If the sides of a right triangle are x, 3x+3, and 4x-3, then what is the value of x?
Limits of the differene- 9.) find the lower and upper limits of the differences between (a) 13.1 cm and 18.7 cm (B)0.55 km and 0.093 km. () 2539 and 1.229 d) 8.3m and 15.9m...find the lower and upper limits of the
Answer: a) Lower limit: (13.1 - 0.05) - (18.7 + 0.05) = -5.65 cm
Upper limit: (13.1 + 0.05) - (18.7 - 0.05) = -4.95 cm
Therefore, the lower limit of the difference is -5.65 cm and the upper limit is -4.95 cm.
b) Lower limit: (0.55 - 0.005) - (0.093 + 0.005) = 0.447 km
Upper limit: (0.55 + 0.005) - (0.093 - 0.005) = 0.457 km
Therefore, the lower limit of the difference is 0.447 km and the upper limit is 0.457 km.
c) Lower limit: (2539 - 0.5) - (1.229 + 0.001) = 2537.27
Upper limit: (2539 + 0.5) - (1.229 - 0.001) = 2541.27
Therefore, the lower limit of the difference is 2537.27 and the upper limit is 2541.27.
d) Lower limit: (8.3 - 0.1) - (15.9 + 0.1) = -7.7 m
Upper limit: (8.3 + 0.1) - (15.9 - 0.1) = -7.3 m
Therefore, the lower limit of the difference is -7.7 m and the upper limit is -7.3 m.
Step-by-step explanation: omg u made me so tired
3:
Lloyd has a bag of 3 marbles. There is 1 orange marble, 1 green marble, and 1 blue marble.
List 1 List 2 List 3 List 4
O O, O O, O O, O
G O, G O, G O, G
B O, B O, B O, B
G, O G, O G, O
G, B G, B G, B
G, G G, G G, G
B, B B, B B, B
B, G B, G B, G
B, O B, O
G, O
O, B
G, B
Which list gives the sample space for pulling 2 marbles from the bag with replacement?
List 1
List 2
List 3
List 4
List 4 provides space for the sample to remove 2 marbles from the bag and replace them.
What is sample?In statistics and probability, a sample is a subset of a population that is selected for observation, analysis, or testing. The population refers to the entire group of individuals, objects, or events that share a common characteristic of interest, while the sample is a smaller group that is selected to represent the population.
According to question:List 4 provides space for the sample to remove 2 marbles from the bag and replace them.
Each element in List 4 represents a possible outcome of selecting 2 marbles from the bag, where the order of selection matters and replacement is allowed. For example, the first element in List 4, "G, O", represents the outcome of first selecting a green marble, then replacing it in the bag, and then selecting an orange marble.
The other lists represent possible outcomes of selecting 2 marbles, but some of them do not allow for replacement or do not include all possible orderings. For instance, List 1 only includes outcomes where both marbles are the same color, while List 2 does not include all possible orderings (e.g., it does not include the outcome "O, G").
Therefore, List 4 is the correct answer as it represents the sample space for selecting 2 marbles from the bag with replacement and includes all possible outcomes.
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Answer:
List 4
Step-by-step explanation:
List 4 provides space for the sample to remove 2 marbles from the bag and replace them.
What is sample?
In statistics and probability, a sample is a subset of a population that is selected for observation, analysis, or testing. The population refers to the entire group of individuals, objects, or events that share a common characteristic of interest, while the sample is a smaller group that is selected to represent the population.
According to question:
List 4 provides space for the sample to remove 2 marbles from the bag and replace them.
Each element in List 4 represents a possible outcome of selecting 2 marbles from the bag, where the order of selection matters and replacement is allowed. For example, the first element in List 4, "G, O", represents the outcome of first selecting a green marble, then replacing it in the bag, and then selecting an orange marble.
The other lists represent possible outcomes of selecting 2 marbles, but some of them do not allow for replacement or do not include all possible orderings. For instance, List 1 only includes outcomes where both marbles are the same color, while List 2 does not include all possible orderings (e.g., it does not include the outcome "O, G").
Therefore, List 4 is the correct answer as it represents the sample space for selecting 2 marbles from the bag with replacement and includes all possible outcomes.
a person in a whispering gallery standing at one focus of the ellipse can whisper and be heard by a person standing at the other focus because all the sound waves that reach the ceiling are reflected to the other person. if a whispering gallery has a length of 26 meters, and the foci are located 5 meters from the center, find the height of the ceiling at the center.
For the given ellipse, the height of the ceiling at the center is 5 meters.
From the properties of an ellipse, we know that the distance from the center to one of the foci is a, and the distance from the center to one of the vertices is b. We can find these values using the equation of an ellipse:
(x²/a²) + (y²/b²) = 1
At the center of the gallery, x = 0, and we know that the major axis length is 36 meters, so b = 18 meters. We can solve for a by using the fact that the distance between the two foci is 10 meters:
2a = 36 - 10 = 26
a = 13
Therefore, the distance from the center to one of the foci is 13 meters, and the distance from the floor to the same focus is 13 - 5 = 8 meters.
Thus, the height of the ceiling at the center of the gallery is 13 - 8 = 5 meters.
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i need this asap pls
Answer:
x equals [tex]\frac{11}{2}[/tex]
Hope this helps!
Step-by-step explanation:
Cross multiply to get ( 4x + 8 = 6x - 3 ) = ( 2x = 11 ) = ( x = [tex]\frac{11}{2}[/tex] ).
Answer:
11/2 or 5.5 (5 1/2 mixed)
Step-by-step explanation:
Cross multiplication ( a/b = c/d = a*d = c*b
(x+2)*4 = 3(2x-1) =
4x + 8 = 6x - 3
Move -3 to the left side (becomes positive since it is a negative)
4x + 8 + 3 = 6x
Move 4x to the other side
8+3 = 6x - 4x
Combine Like Terms
11 = 2x
Divide by 2
11/2 = x
Help with this equation pls.
To create the figure with the new scale of 1 unit = 3 yd. The steps are mentioned below.
Describe Scale?Scale refers to the proportional relationship between the measurements of an object or a system and the corresponding measurements on a representation or a model of that object or system. It is commonly used in many fields, including mathematics, engineering, architecture, art, and geography.
In mathematics, scale can be expressed as a ratio or a fraction, which indicates how much the measurements on the representation or model have been reduced or enlarged relative to the actual measurements of the object or system. For example, a scale of 1:100 means that every measurement on the representation or model is 100 times smaller than the corresponding measurement on the actual object or system.
In art and architecture, scale is used to create a sense of proportion and perspective in a work. For example, an artist might use a smaller scale for a background object to make it appear farther away, while using a larger scale for a foreground object to make it appear closer.
To create the figure with the new scale of 1 unit = 3 yd. Here are the steps:
Determine the dimensions of the rectangle in yards using the original scale of 1 unit = 6 yd.
Divide the dimensions by 2 to get the new dimensions using the new scale of 1 unit = 3 yd.
Draw a rectangle on a new grid using the new dimensions.
If you want to place the rectangle in a specific location on the grid, you can use the coordinates on the grid to position it.
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The measure of abd is (0.3x+67) and the measure of cbd is (0.1x+41) Find the value of x.
The measure of abd is (0.3x+67) and the measure of cbd is (0.1x+41), the value of x is 130.
What is abd?Abd is an abbreviation for the term "abdomen." It is used to describe the part of the body located between the chest and the pelvis, and contains many vital organs including the stomach, intestines, pancreas, and liver. Abd is often used in medical terminology, particularly when referring to conditions that affect the abdomen such as appendicitis or diverticulitis.
The measure of ABD is (0.3x+67) and the measure of CBD is (0.1x+41). Since the two angles are supplementary (they add up to 180 degrees), we can set the two equations equal to each other and solve for x.
0.3x + 67 = 0.1x + 41
Subtracting 0.1x from both sides of the equation, we get:
0.2x = 26
Dividing both sides of the equation by 0.2, we get:
x = 130
Therefore, the value of x is 130.
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If The measure of abd is (0.3x+67) and the measure of cbd is (0.1x+41) then the value of x is 180.
What is an algebraic expression?
An algebraic expression is a mathematical phrase that contains variables, numbers, and mathematical operations such as addition, subtraction, multiplication, and division.
To find the value of x, we need to use the fact that the sum of the angles in a triangle is 180 degrees.
We know that the sum of angles ABD and CBD is equal to angle ABC, which is 180 degrees.
So we can set up the following equation:
ABD + CBD = ABC
(0.3x + 67) + (0.1x + 41) = 180
Simplifying the equation, we get:
0.4x + 108 = 180
Subtracting 108 from both sides, we get:
0.4x = 72
Dividing both sides by 0.4, we get:
x = 180
Therefore, the value of x is 180.
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when researchers are interested in whether the effect of the original independent variable on a dependent variable depends on the level of another independent variable, they are interested in
The main effects of the independent variables, and failing to consider them can lead to incomplete or incorrect conclusions about the relationships between variables.
When researchers are interested in whether the effect of the original independent variable on a dependent variable depends on the level of another independent variable, they are interested in the concept of an interaction effect. An interaction effect occurs when the effect of one independent variable on dependent variable changes depending on the level of another independent variable.
In other words, the effect of one independent variable is different at different levels of the other independent variable. Interactions are important to consider because they can change the interpretation of the main effects of the independent variables, and failing to consider them can lead to incomplete or incorrect conclusions about the relationships between variables.
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In a direct variation, y=20 when x=5. Write a direct variation equation that shows the relationship between x and y
The direct variation equation that shows the relationship between x and y, where y = 20 when x = 5, is y = 4x.
In a direct variation, the relationship between two variables can be described by the equation y = kx, where y and x are the variables and k is the constant of variation. This equation indicates that y varies directly with x, which means that as x increases or decreases, y also increases or decreases proportionally.
To find the constant of variation, we need to use the given information about the values of y and x. In this case, we are told that when x = 5, y = 20. We can substitute these values into the direct variation equation:
y = kx
20 = k(5)
To solve for k, we divide both sides by 5:
k = 20/5
Simplifying this expression, we get:
k = 4
Therefore, the direct variation equation that shows the relationship between x and y is:
y = 4x
This equation means that for any value of x, if we multiply it by 4, we will get the corresponding value of y. For example, if x = 2, then y = 4(2) = 8. If x = 10, then y = 4(10) = 40. In other words, y is always four times the value of x in a direct variation relationship.
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Simplify (2x3y2 − 8x2y + 4y) − (5x3y2 − 4x2y − 4y).
−3x3y2 − 4x2y
−3x3y2 + 12x2y
( −3x3y2 − 4x2y + 8y)
−3x3y2 − 12x2y + 8y
Answer:
-3x^3y^2 - 4x^2y + 8y.
Step-by-step explanation:
When we distribute the negative sign to the terms inside the parentheses, we get:
(2x^3y^2 − 8x^2y + 4y) − (5x^3y^2 − 4x^2y − 4y) = 2x^3y^2 − 8x^2y + 4y - 5x^3y^2 + 4x^2y + 4y
Now, we can combine like terms. The terms with x^3y^2 are 2x^3y^2 and -5x^3y^2, which combine to give -3x^3y^2. The terms with x^2y are -8x^2y and 4x^2y, which combine to give -4x^2y. The terms with y are 4y and 4y, which combine to give 8y. Therefore, we have:
(2x^3y^2 − 8x^2y + 4y) − (5x^3y^2 − 4x^2y − 4y) = -3x^3y^2 - 4x^2y + 8y
Therefore, the simplified expression is -3x^3y^2 - 4x^2y + 8y.
The expression can be simplified by subtracting the coefficients of matching terms from the first and second parentheses. The simplified expression is -3x3y2 - 4x2y + 8y.
Explanation:To simplify the expression (2x3y2 − 8x2y + 4y) − (5x3y2 − 4x2y − 4y), you must subtract each term in the second parentheses from the corresponding term in the first. In this case, it works as follows:
First, subtract the coefficients of the matching terms in both brackets. The term x3y2 is present in both, so subtract 5 (the coefficient from the second bracket) from 2 (the coefficient from the first). This results in -3x3y2.Then, do the same for the x2y term. Subtract -4 (the coefficient from the second bracket) from -8 (from the first). Because you're subtracting a negative, that's like adding, so we get -4x2y.Finally, subtract -4 (the coefficient for y in the second bracket) from 4 (from the first). Again, subtracting a negative is like adding, so this results in 8y.So, the simplified expression becomes −3x3y2 − 4x2y + 8y.
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Point A (3, -5) is reflected over the x-axis. What is its new location?
The new location of Point A is (3, 5). This is because the x-coordinate remains unchanged, while the y-coordinate is inverted, making it positive.
Point A is located at (3, -5). To reflect this point over the x-axis, we need to calculate the new coordinates. First, we will note that the x-coordinate remains unchanged. This means that the new x-coordinate is 3. Secondly, we will note that the y-coordinate needs to be flipped, meaning it will become positive. To do this, we will take the opposite of the original y-coordinate. Since the original y-coordinate is -5, the new y-coordinate will be 5. Therefore, the new location of Point A is (3, 5).
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raul sold his dinette set for $235 through an online site, which charged him 9% of the selling price as commission. how much was the commission
Answer: $21.15
Step-by-step explanation:
Max Wholesaler borrowed $4500 on 11%, 120-day note after 45 days max paid $1575 on the note 30 days later Max Paid an additional 1003 $150 use ordinary interest determine the total interest is in the U.S. Rule
Answer:
a) 183.75
b) 386.25
i believe thats right, i am very sorry if i am wrong
What is m∠JLK? If inside is 46
Answer:
24
Step-by-step explanation:
Because it has to be a equal side and 24 is even
and plus 24 is
The area of a triangular piece of stained glass is 50 square centimeters If the height of the triangle is four times the base, how long are the height and base of the piece of stained glass?
The base οf the triangle is 5 centimeters and the height οf the triangle is 20 centimeters.
What is the triangles?In geοmetry, a triangle is a three-sided pοlygοn that cοnsists οf three line segments οr sides and three angles.
Let's denοte the base οf the triangle by "b" and the height by "h". We knοw that the area οf the triangle is 50 square centimetres, sο we can use the fοrmula fοr the area οf a triangle tο set up an equatiοn:
[tex]Area = (1/2) * base * height[/tex]
Substituting the given values, we get:
[tex]50 = (1/2) * b * h[/tex]
We also know that the height of the triangle is four times the base:
h = 4b
We can substitute this expression for "h" into the equation for the area:
[tex]50 = (1/2) * b * (4b)[/tex]
[tex]50 = 2b^2[/tex]
Dividing both sides by 2, we get:
[tex]25 = b^2[/tex]
Taking the square rοοt οf bοth sides, we get:
b = 5
Sο the base οf the triangIe is 5 centimeters. Using the expressiοn fοr the height in terms οf the base, we can find the height:
h = 4b = 4(5) = 20
Sο the height οf the triangIe is 20 centimeters.
Hence, the base οf the triangIe is 5 centimeters and the height οf the triangIe is 20 centimeters.
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determine the best method to solve each system of equations. then solve the system 3x-5y=7 2x+5y=13
Answer:
(4, 1 )
Step-by-step explanation:
3x - 5y = 7 → (1)
2x + 5y = 13 → (2)
the 'best' or 'simplest' way to solve this system is the elimination method
since the signs of 5y are opposites then adding will eliminate the y term
add (1) and (2) term by term to eliminate y
(3x + 2x) + (- 5y + 5y) = 7 + 13 , that is
5x + 0 = 20
5x = 20 ( divide both sides by 5 )
x = 4
substitute x = 4 into either of the 2 equations and solve for y
substituting into (2)
2(4) + 5y = 13
8 + 5y = 13 ( subtract 8 from both sides )
5y = 5 ( divide both sides by 5 )
y = 1
solution is (4, 1 )
Select the correct answer from each drop-down menu.
Given: ST bisects
Prove: SU = SV
Check the picture below.
so since ST is bisecting at the vertex T, that means that T will end up with twin angles and thus both triangles the yellow and green one since both are sharing the hypotenuse ST, both triangles are congruent by the HA theorem, and thus CPCTC.
Henry had 23 1/3 quarts of juice. How many gallons did Henry have?
Henry had 35/6 gallons of juice, which is equivalent to 5 and 5/6 gallons.
To convert quarts to gallons, we need to know that there are 4 quarts in 1 gallon. So, we divide the number of quarts by 4 to get the number of gallons.
In this problem, we're given that Henry had 23 1/3 quarts of juice. To convert this amount to gallons, we first need to convert the mixed number to an improper fraction. We can do this by multiplying the whole number by the denominator of the fraction and then adding the numerator. This gives us:
23 1/3 = (23 × 3 + 1) / 3 = 70 / 3
Now we can divide 70/3 by 4 to get the amount of juice in gallons:
70/3 ÷ 4 = 70/3 × 1/4 = 70/12
We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 2 in this case. This gives us:
70/12 ÷ 2/2 = 35/6
So, Henry had 35/6 gallons of juice in total.
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PLEASE HELP ON TIME LIMIT
What is the correct mathematical description for the expression 25 ÷ 5 + (6 x 2) − 4.5?
25 divided by 5 plus 6 times 2 minus 4 and 5 tenths
25 divided by the sum of 5 and 6 times 2 minus 4 and 5 tenths
25 divided by 5 plus 6 times the difference of 2 and 4 and 5 tenths
25 divided by 5 plus the product of 6 and 2 minus 4 and 5 tenths
Answer: 25 divided by 5 plus 6 times 2 minus 4 and 5 tenths
Step-by-step explanation: order of operations, PE(MD)(AS)
iq scores in a certain population are normally distributed. it is given that: (1) 13% of people have iq that does not exceed 80. (2) mensa is an organization whose members have iqs in the top 3% of the population. the minimum iq score required for admission to mensa is 128. 9(a) find the mean and the standard deviation of iq scores. round your answers to the nearest whole numbers. hint. find z-scores.
The mean IQ score in the population is approximately 98, and the standard deviation is approximately 16.
Let μ = mean and σ = standard deviation of IQ scores in population.
Then we can write the two equations as :
⇒ P(X ≤ 80) = 0.13 ...equation(1)
⇒ P(X ≥ 128) = 0.03 ...equation(2)
we standardize the data by using the formula:
⇒ Z = (X - μ)/σ,
Where Z = standard normal variable.
Using the standard normal distribution, we know that P(Z ≤ -1.126) = 0.13,
So, -1.126 = (80 - μ)/σ .....equation(3),
and we know that P(Z ≥ 1.881) = 0.03.
So, 1.88 = (128 - μ)/σ ...equation(4),
⇒ μ = 128 - 1.881σ,
Solving equation(3) and equation(4),
We get,
⇒ σ ≈ 16.
Substituting σ = 16 into the equation(4),
We get,
⇒ μ = 128 - 1.881×16,
⇒ μ = 98.
Therefore, the mean IQ score = 98, and standard deviation is = 16.
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Leila worked for 13 hours each day for 6 days. Then the next day she worked 7 hours. How many hours did Leila work in all?
Answer:
85
Step-by-step explanation:
13(6)+7=85
:)
Answer:
85
Step-by-step explanation:
Let's calculate the working hours of the first 6 days:
[tex]13 * 6 = 78[/tex] hours
Now let's add that to the last 7 hours she worked:
[tex]78 + 7 = \fbox{85}[/tex] hours
What is the missing value for x on the diagram below?
For the given cyclic quadrilateral the missing values of x is 82°, y is 130° and z = 118°
Define the term Circle identities?In trigonometry, a set of fundamental identities is referred to as the "Circle identities" and connects the six trigonometric functions of an angle in a right-angled triangle.
Here given a quadrilateral inside the circle, we know that,
Sum of opposite angle of cyclic quadrilateral is 180 degree;
Then, x + 98° = 180°
x = 82°
Opposite angle of 76° will be; 180° - 76° = 104°
Radius are same in ΔAOB, (See the below figure)
Then, a + a + 34° = 180°
a = 73°
then, ∠OBC = 98° - a = 25°
and in ΔCOB, 25° + 25° + y° = 180°
Then, y = 130°
and in ΔDOA,
∠OAD = 104° - 73° = 31°
Then, z = 118°
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Simplify figure for understanding-
Theresa has only a basic 25/50/25 liability policy on her vehicle. Her son borrowed it and caused an accident where he and two passengers were injured. One passenger suffered $30,000 in damages and the other passenger and Theresa's son each suffered $10,000 in damages. Damage to the other car involved in the accident was $18,000. Theresa's vehicle, worth $7,500 was totaled. How much will the insurance company pay in total damages?
The insurance company will pay a total of $70,000 in damages as insurance.
What exactly is insurance?
Insurance is a contract between an individual or entity (the insured) and an insurance company (the insurer) in which the insurer agrees to provide financial protection or compensation to the insured in any loss or damage. The insured typically pays a premium to the insurer in exchange for this protection. Insurance policies can provide coverage for various risks, such as accidents, illness, property damage, and liability.
Now,
Theresa's insurance policy covers up to $25,000 for bodily injury per person, up to $50,000 total for bodily injury per accident, and up to $25,000 for property damage per accident.
For bodily injury, the insurance will cover $25,000 for the first passenger, $10,000 for the second passenger, and $10,000 for Theresa's son, which adds up to $45,000. Since this is below the $50,000 total for bodily injury per accident, the insurance will cover all the bodily injury damages.
For property damage, the insurance will cover up to $25,000 per accident. Since the total property damage is $18,000 + $7,500 = $25,500, which is above the $25,000 coverage limit, the insurance will only pay out $25,000.
Therefore, the insurance company will pay a total of $45,000 + $25,000 = $70,000 in damages.
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As part of a competition, Diego must spin around in a circle 6 times and then run to a tree. The time he spends on each spin is represented by s and the time he spends running is r. He gets to the tree 21 seconds after he starts spinning.
a. Complete the equation showing the relationship between s and r.
6
s +
2
r =
21
b. Complete the equation that shows the rearrangement of r as a function of s.
r =
–
s
c. If it takes Diego 1.2 seconds to spin around each time, how many seconds did he spend running?
seconds
(Lesson 5-3)
a. the equation showing the relationship between s and r:
6s + 2r = 21
b. the equation that shows the rearrangement of r as a function of s:
r = (21/2) - 3s
c. If it takes Diego 1.2 seconds to spin around each time, the total time he spends spinning is r = 5.7 seconds
How do we calculate?The equation showing the relationship between s and r: 6s + 2r = 21
The equation that shows the rearrangement of r as a function of s:
2r = 21 - 6s
r = (21/2) - 3s
c., the total time Diego spends spinning is:
6s = 6(1.2) = 7.2 seconds
Applying the equation in part (b), we can find the time he spends running:
r = (21/2) - 3s
r = (21/2) - 3(1.2)
r = 5.7 seconds
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The density of a material that has a mass of 48g and a volume of 12cm3?
The density of the material is 4 g/cm³.
What is the density of the material?
Density is a physical property that describes the amount of mass per unit volume of a substance. It is typically represented by the symbol "ρ" (rho) and is calculated by dividing the mass of an object by its volume. The units of density are usually expressed as mass per unit volume, such as grams per cubic centimeter (g/cm³) or kilograms per cubic meter (kg/m³).
Density is defined as mass per unit volume. We can use the formula:
density = mass/volume
Substituting the given values:
density = 48g / 12cm³
Simplifying:
density = 4g/cm³
Therefore, the density of the material is 4 g/cm³.
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The drama club at Lee Middle School is deciding on their spring production. There are 25 students who want to do a musical and 5 students who want to do a play. What is the probability that a randomly selected student would want to do a musical?
Answer:
20 percent
Step-by-step explanation:
5/25=0.2
Answer:
25/30 which reduces to 5/6
Step-by-step explanation:
There is a net total of 30 students (25 for musical and 5 for play)
It's asking for the probability of someone who wants to do a musical getting selected, which would be 25 kids out of 30. Which reduces to 5/6
Can you please solve this
Estimated value of median is 44.7.
What is the histogram?The graphic representation of data points arranged into specified ranges is called a histogram. The histogram, which re assembles a bar graph in appearance, contain a data series into an intuitive visual by collecting numerals data points and organizing them into logical bins or range
What is median?The middle value in a arrange ascending or descending list of numbers is known as the median, and it has the potential to describe a data collection more accurately than the average does. It reflects the midway of the data since it is the point above and below which half (50%) of the observed data falls.
l = lower limit of median class, n = number of observations, f = frequency of median class, and h = class size. Median = [l + ((n/2) - cf)/f]h (assuming equal size classes).
According to question ,n =60 then median class = 25 to 45 because [tex]\frac{n}{2}[/tex]=30
l=25, f=7.5 ,cf =0.5 ,h = [tex]\frac{45-25}{4}[/tex]=5
so, median =
[tex]25+[\frac{(30-0.5)}{7.5}]*5\\44.7[/tex]
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