Answer:right angles, two sets of parallel sides, and opposite sides equal.
Step-by-step explanation:
what is the unit of measurement for coding the length of lacerations? a. square inches b. inches c. square centimeters d. centimeters
The unit of measurement for coding the length of lacerations d)centimeters.
Centimeters are the most common unit of measurement used to code the length of lacerations. This is because they are a small enough unit of measurement that they can accurately describe even the smallest of lacerations.
Centimeters are also the most commonly used metric unit of length, making them the most useful when coding lacerations for medical records. In addition, centimeters are a more precise unit of measurement than inches and are accepted internationally as a unit of measurement, making them the best choice when coding lacerations.
Finally, centimeters are consistent units of measurement, making it easy to compare laceration lengths between different patients and different medical records.
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I need help on this problem
The distance of Main Street is given by the equation D = 319.25 feet
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the distance of Main Street be D
Now , let the triangle be represented as ΔABC
The base of the triangle BC = 300 feet
The hypotenuse of the triangle AC = distance between First avenue and Canal street
The measure of angle ∠BAC = 70°
From the trigonometric relations , we get
sin θ = opposite / hypotenuse
Substituting the values in the equation , we get
sin 70° = 300 / D
Multiply by D on both sides of the equation , we get
D ( sin 70° ) = 300
Divide by sin 70° on both sides , we get
D = 300 / ( sin 70° )
On further simplification , we get
D = 300 / 0.939692
D = 319.2535
D = 319.25 feet
Hence , the distance is 319.25 feet
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the average area of a bedroom in a home is 219 square feet with a standard deviation of 32.5 square feet. what is the largest a bedroom can be and be among the smallest 20% of bedrooms in a home?
The largest a bedroom can be and still be among the smallest 20% of bedrooms in a home is around 271 square feet.
To understand this answer, we have to use the concept of standard deviation, which is a measure of how spread out the data is from the mean. In this case, the average area of a bedroom is 219 square feet, with a standard deviation of 32.5 square feet. To calculate the 20th percentile, we need to find the value of X such that P(X < x) = 0.20, where P(X < x) is the cumulative distribution function of X.
We can use a standard normal table to find the Z-score corresponding to 0.20 and then convert it back to the original scale. The Z-score for 0.20 is -0.84. Therefore, x = 219 + 32.5 * (-0.84) = 271, which is the largest a bedroom can be and still be among the smallest 20% of bedrooms in a home.
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you can infer causality from a correlational result, but only when the r value is greater than
a.0
b.0.5
c.1
A correlational result can be used to infer causality, but only if the value of r is greater than 0.
What is infer causality?In statistics, a correlation coefficient is a measure of the strength and direction of the linear relationship between two variables. A positive correlation coefficient implies that two variables are related (as one variable increases, so does the other), whereas a negative correlation value shows that two variables are inversely related (as one variable increases, the other decreases).A correlation value of zero shows that no relationship exists between two variables. However, a correlation coefficient greater than 0 does not imply causality, meaning that it cannot be concluded that one variable causes changes in the other variable. Establishing causality requires additional evidence and methods such as experimental designs or causal inference techniques.To learn more about infer causality refers to:
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Question 6 Mathematics
The predicted number of barrels of crude oil for October is given as follows:
19.
How to find the numeric value of a function or of an expression?To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.
The function for this problem is defined as follows:
y = -0.02x² + 0.14x + 19.6.
October is the 10th month, hence the prediction is obtained as follows:
y = -0.02(10)² + 0.14(10) + 19.6
y = 19.
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divide a by 2 in algebraic expression
Answer: a/2
I believe for this problem all they’re asking is how you would write the expression.
please help i need this asap!
Answer: Infinitely many solutions
Answer:
Below
Step-by-step explanation:
15x + 3y = 27 divide through by 3 to get
5x + y = 9 <====== this is the same equation as the first one so they are the SAME line ....meaning INFINITE solutions
Year 9 students from a school were asked to choose one language to study. The table shows information about their choices. Students in maths class 9s1 were told to draw a pie chart to ultralight
Two boats were 400 miles apart at midnight and were both sailing to the same port on Honolulu. One boat was heading west and the other was heading east. If they both arrived at 8:00am, find the speed of each boat if one was 20MPH faster than the other.
The speed of the air or water increases and its pressure decreases as it circles the longer-path side of the sail or keel. The air or water will attempt to migrate from the side of high pressure to the side of low pressure as it moves along the sail or keel in response to the consequent pressure difference.
How is sailing speed determined?Theoretical displacement hull speed is determined by the following equation: velocity in knots = 1.35 x waterline length in feet squared.
Use x to symbolise the slower boat's speed.
Therefore, the faster boat's speed would be x + 20 mph.
They met for 8 hours, hence the distance they travelled overall during that period is depicted as
Distance: (x + 20) * 8 + x * 8
Thus, we have
Distance: 16x plus 160
At twilight, the two boats were separated by 400 kilometres.
The distance equation is as follows.
400 = 16x + 160
Analyze similar terms
16x = 240
multiply by 16
x = 15
Remember that
20 mph faster boat equals x.
Thus, we have
Speedier boat = 15 plus 20
Speedier boat = 35
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if the variance of the population a is 10 and the variance of the population b is 15, does it mean that population a has less variability than population b?
Yes, the given statement is true if the variance of the population 'a' is smaller than the variance of population 'b' it represents that population 'b' is more variable than 'a'.
Population variance represents the measurement of spread of group data points.It shows the average squared deviation from the given mean.Whenever data points are very near to the mean then the variance has smaller value.And when data points are far away to the mean then it has larger value of variance.Here variance of population 'a' is 10 which is smaller than the variance of population 'b' .It represents population 'a' is less variable than population 'b'.Therefore, the given statement is true for the variance of population 'a' and 'b'.
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which function models the table? Help!!
Solve for x :
[tex] \it{ \large{2x - 6 = 2(3x + 5)}}[/tex]
Thank You!
what is the probability that a standard normal random variable will be between .3 and 3.2?
0.3814 is the probability that a standard normal random variable .
What is the probability equation?
The probability of an event occurring, or P(E), is defined as the ratio of the number of favorable outcomes to the total number of outcomes in the probability formula.
P(E) = positive outcomes/total outcomes is how it's expressed mathematically. The probability of an event occurring, or P(E), is defined as the ratio of the number of favorable outcomes to the total number of outcomes in the probability formula. Mathematically speaking, it seems as follows: P(E) stands for positive outcomes/total outcomes.
P(0.3 < z < 3.2)
= P(z < 3.2) - P(z < 0.3)
= 0.9993 - 0.6179
= 0.3814
Probability = 0.3814
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lisle and linda walk in opposite directions from the same point. lisle walks 0.8 kilometers every 10 minutes, and linda walks 2.8 kilometers every 30 minutes. how far apart are they after 1 hour?
The total distance between lisle and Linda will be 10.4 kilometers.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that lisle and Linda walk in opposite directions from the same point. lisle walks 0.8 kilometers every 10 minutes, and Linda walks 2.8 kilometers every 30 minutes.
lisle's distance in an hour:-
0.8 x 6 = 4.8 Km
Linda's distance in an hour:-
2.8 x 2 = 5.6 Km
Total distance = 4.8 + 5.6 = 10.4 Km
Therefore, there will be 10.4 kilometers between Lisle and Linda overall.
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Hexagon HEXAGZ has vertices H(3,0), E(1, -2), X(-1, -2), A(-3,0), G(-2,2), and Z(1,2). What are the coordinates of the image of HEXAGZ for a dilation with center (0,0) and a scale factor of 3.5?
Answer: ion know
Step-by-step explanation: 1 + 2 = 3
If I paid $625 interest on $5000 that I borrowed at 5%, how many years did I borrow it? *Remember, I = P x R x T
Answer:
2½ years
Step-by-step explanation:
I =PxRxT
$625=$5000 x 5/100 x T
$ 625= $250 T
625/250=T
T = 2.5
jill is taking 5 courses (or 15 credit hours). how many hours of homework should she expect each week in addition to her time spent inside the classroom?
Jill should expect an additional 30 to 45 hours of homework each week.
As a general rule of thumb, students can expect to spend 2-3 hours of homework for each hour spent in class. This means that for a 15 credit hour course load, Jill can expect to spend an additional 30 to 45 hours on homework each week.
However, this is just a rough estimate and the actual amount of time required will depend on the difficulty of the courses, the teaching style of the instructors, and the individual study habits and ability of the student. Additionally, some courses may require more time spent on projects, reading, or other assignments that are not factored into this estimate.
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Madelyn's office recycled a total of 21 kilograms of paper over 3 weeks. After 4 weeks, how many kilograms of paper will Madelyn's office have recycled? Solve using unit rates.
The quantity of kilograms of paper that Madelyn's office would have recycled after 4 weeks would be = 28kg
How to calculate the quantity of recycled paper?The recycling activities of Madelyn's office in weeks is listed below:
The total quantity of paper recycled for 3 weeks = 21 kg
Then, after 4 weeks would be = xkg
To calculate the unit rate is to find out the quantity recycled per week;
That is,
3 weeks = 21 kg
1 week = X
Make X the subject of formula;
X = 21/3
X= 7 kg
Then if 7 kg = 1 week
X kg = 4weeks
X kg = 7×4/1
= 28 Kilograms
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Using the slope intercept form what is the equation of the line: m= 1/4
y-intercept= (0,-2)
*
Answer: Y=1/4x-2. slope intercept form is y=mx+b
we have our b and our m and that’s all we need. so the equation would be y=1/4x-2
Step-by-step explanation:
In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the first day of the experiment the mass of the substance was 1300 grams and mass was decreasing by 14% per day. Determine the mass of the radioactive sample at the beginning of the 11th day of the experiment.
Answer:
At the beginning of the 11th day, the mass of the radioactive sample was 201.87 grams.
Step-by-step explanation:
Let's call the mass of the substance after n days "m". We can calculate the mass for each day using the formula:
m = 1300 * (1 - 0.14)^n
Plugging in n = 11:
m = 1300 * (1 - 0.14)^11
m = 1300 * 0.15572634
m = 201.87 grams
So at the beginning of the 11th day, the mass of the radioactive sample was 201.87 grams.
the dotplot above shows the distribution of calf measurements for 507 adults who attend a local gym. the data is divided into equal-sized subgroups with 25% of the adults in each subgroup. which measure of center can you most accurately estimate from this information?
which measure of center can you most accurately estimate from this information: Median
The median divides the data into equal-sized groups. So approximately 50% of the data is above the median and approximately 50% of the data is below the median.
Calculating the median
The median is the value in a data set, implying that half of data focuses have a value more modest or equivalent to the median and half of data focuses have a value higher or equivalent to the median.
For a little data set, you first count the quantity of data focuses (n) and organize the data focuses in expanding request. Assuming the quantity of data focuses is lopsided, you add 1 to the quantity of places and separation the outcomes by 2 to get the rank of the data point whose value is the median.
The rank is the place of the data point after the data set has been organized in expanding request: the smallest value is rank 1, the second-smallest value is rank 2, and so forth.
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the complete question is:
The dotplot above shows the distribution of calf measurements for 507 adults who attend a local gym. The data is divided into equal-sized subgroups with 25% of the adults in each subgroup.
Which measure of center can you most accurately estimate from this information?
1. mean
2. median
Rule: 1, 2, 3, 5, 8,
Answer: 13, 21, 34...
Step-by-step explanation: 1+2 = 3, 2+3 = 5, 3+5 = 8, 5+8 = 13, 8=13 = 21, etc.
Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42
the difference of two numbers is 52. the larger number is three less than six times the smaller number. find the numbers. (enter your answers as a comma-separated list.)
If the difference of two numbers is 52 and larger number is six times the smaller number , then the smaller number is 11 , larger number is 63 .
Let the smaller number be denoted by "x".
according to the information that, "larger number is three less than six times the smaller number" ;
So, the larger number can be represented as 6x - 3.
The difference between the two numbers is 52,
that means ; (6x - 3) - x = 52
On Solving for x ;
we get ;
⇒ 5x = 55
⇒ x = 11
Therefore , the smaller number is 11, and the larger number is 6×11-3 = 63.
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suppose that you are awarded prize money if you match at least three of the winning numbers. the probability that you will win some prize money is .
The frequency of winning numbers you can match, determines your chance of winning a prize.
The likelihood of earning some money is one if you can match three or more of the winning numbers (certain). However, the probability of winning any prizes is zero if you can only match two or fewer of the winning numbers (impossible).
Probability distribution: The probability that a random variable will take on a specific value or range of values is expressed mathematically as a probability distribution. It is often referred to as a probability mass function or a probability density function (PDF) (PMF). Each result of a random event, such as the roll of a dice, the toss of a coin, or a stock market return, is given a probability by the probability distribution.
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Josiah and Katya are asked to build an accessibility ramp to a building. josiah suggests a triangle with side lengths 6, 8, and 10. katya suggets a triangle with side lengths 4, 9, and 12. which ramp creates a right triangle?
Solve for x on the diagram below
Answer:
x = 60°
Step-by-step explanation:
the 'x' angle and the adjacent 120° angle form a straight line
a straight line consists of 180°
Chad buys a frying pan priced at $26. If the sales tax is 10%, how much tax will Chad pay?
Answer:
$2.60
Step-by-step explanation:
10% = 0.1
26 times 0.1 = $2.60
So, Chad pays $2.60 tax.
Answer:$28.60-26= 2.60
Step-by-step explanation:
$26 = 100%
sales tax = +10%
total price 26 x 110%
Find the area of this circle. Use 3 for pie
Answer:
3
Step-by-step explanation:
A = 3 × (1ft)²
A = 3 × 1 ft²
A = 3ft²
what is the equation for a line that passes through the point (8,-1) and is parallel to the line that passes through points (-2,2) and (6,6)
Answer:y=2x-15
Step-by-step explanation:
First, we find the slope of the first line
Slope equation:
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
Plug-in values
[tex]\frac{6-2}{6-(-2)}[/tex]
=[tex]\frac{4}{8}[/tex]=[tex]\frac{1}{2}[/tex]
Slope=1/2
Remember that parallel lines have the same slope.
Now, we use the slope to get the y-intercept.
We start from (8,-1)
We go up 1 (rise) and right 2 (run), or the opposite of the slope (-1 rise, -2 run).
We get a y-intercept of -5.
Plug into y=mx+b
y=1/2x-5