Answer: Division property of equality
Step-by-step explanation:
Answer:
associative property of addition
Step-by-step explanation:
you always have to do what's in the Parenthesis first then move on to what's next in the PEMDAS.
Need help with my math hw
Use the point-slope form of a linear equation to write the equation of the line in slope-intercept form.
m=2
through (3,−5)
Answer:
y=2x-11
Step-by-step explanation:
using the formula
y-y1=m(x-x1)
y-(-5)=2(x-3)
y+5=2x-6
y=2x-6-5
y=2x-11
How to do 3 digit subtraction with regrouping?
Answer:
7 13
283
+ 167
--------
116
Step-by-step explanation
you want to determine the control lines for a p-chart for quality control purposes. If the total number of defects from all samples is 2,500, the number of samples is 100, and the sample size is 50, which of the following would be the standard deviation used in developing the control lines? Multiple Choice 0.4900 0 0.2499 0.2499 0.1556 0.0707 0.02499
The standard deviation used in developing the control lines for a p-chart is 0.0707.
To determine the standard deviation used in developing the control lines for a p-chart, we need to use the formula for the standard deviation of a proportion:
σ = sqrt((p * (1 - p)) / n)
where σ is the standard deviation, p is the proportion of defects, and n is the sample size.
In this case, the total number of defects from all samples is 2,500, the number of samples is 100, and the sample size is 50.
The proportion of defects (p) is given by the total number of defects divided by the total number of opportunities for defects.
Since the sample size is 50 and there are 100 samples, the total number of opportunities for defects is 50 * 100 = 5000.
p = 2500 / 5000 = 0.5
Now, we can substitute the values into the formula for the standard deviation:
σ = sqrt((0.5 * (1 - 0.5)) / 50)
Simplifying the expression:
σ = sqrt((0.25) / 50)
σ = sqrt(0.005)
σ ≈ 0.0707
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Define the nonprobability sampling methods and give examples of each.
Sampling is the use of a subset of the population to represent the whole population or to inform about processes that are meaningful beyond the particular cases, individuals or sites studied.
In non-probability sampling, the sample is selected based on non-random criteria, and not every member of the population has a chance of being included. Common non-probability sampling methods include convenience sampling, voluntary response sampling, purposive sampling, snowball sampling, and quota sampling.
f(X)= 4X^2 + 7X -3 g(X) = 6X^3 - 7X^2-5 Find (f + g) (x).
By using the binary operator of addition, the result of summing f(x) = 4 · x² + 7 · x - 3 and g(x) = 6 · x³ - 7 · x² - 5 is equal to (f + g)(x) = 6 · x³ - 3 · x² + 7 · x - 8.
How to apply operations between functions
Binary operators is a operator that connects two functions. There are five binary operators between two functions: (i) Addition, (ii) Subtraction, (iii) Multiplication, (iv) Division, (v) Composition.
In this question we must apply the addition between two quadratic functions. In addition, we know by algebra that the sum of a quadratic function and a cubic function is equal to a cubic function. Hence, the resulting expression is:
(f + g)(x) = f(x) + g(x)
(f + g)(x) = (4 · x² + 7 · x - 3) + (6 · x³ - 7 · x² - 5)
(f + g)(x) = 6 · x³ - 3 · x² + 7 · x - 8
By using the binary operator of addition, the result of summing f(x) = 4 · x² + 7 · x - 3 and g(x) = 6 · x³ - 7 · x² - 5 is equal to (f + g)(x) = 6 · x³ - 3 · x² + 7 · x - 8.
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Identify the highlighted part of circle O shown below
Central angle
Secant
Inscribed angle
Chord
Answer:
Chord
Step-by-step explanation:
Notice that the highlighted part is the line segment that joins the points J and E on the circle, which is known as a chord.
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Calculating Dose
An 8 year old child is running a temperature of 103 degrees F
and his parent would like to give acetaminophen but doesn't
know how much. He has a bottle of suspension (liquid) at
home and says that the bottle reads "80mg/ half-teaspoonful"
and the child weighs about 25kg. He has an oral syringe that is
marked off at 0.2 milliliter intervals and goes up to 10ml. The
standard dose for acetaminophen elixir is 10mg/kg.
Answer:
5*jjjjjjjjkkkkkkkkkk
7. Consider the inequality below. PART A: Select all values of x that make the inequality true. *
6x < 42
Answers:
1, 2, 3, 4, 5, and 6
Calculate the following dosage. Do not write the units in the answer. Round the number to the nearest tenth.
Order: Famotidine 40 mg IV daily
Available: Famotidine 20 mg/2 mL
____mL
The required volume of Famotidine is 4 mL.
To calculate the required volume in milliliters (mL) for the provided dosage of Famotidine, we can use the following formula:
Volume (mL) = (Dosage ordered / Available dosage) * Volume per dose
We have:
Dosage ordered = 40 mg
Available dosage = 20 mg/2 mL (This means there are 20 mg of Famotidine in 2 mL)
Volume per dose = 2 mL
Let's substitute these values into the formula:
Volume (mL) = (40 mg / 20 mg) * 2 mL
Simplifying the expression:
Volume (mL) = 2 * 2 mL
Volume (mL) = 4 mL
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for which positive integers n is dn, the number of de rangements of n objects, even?
A derangement of n objects is a permutation of the objects such that no object is in its original position. The number of derangements of n objects, dn, is given by the formula dn = n!(1/0! - 1/1! + 1/2! - 1/3! + ... + (-1)^n/n!).
For n = 1 or 2, there is only one possible derangement, which is not even. For n = 3, there are 2 possible derangements, which are both even. For n = 4, there are 9 possible derangements, which are all odd. For n = 5, there are 44 possible derangements, which are all even.
In general, integer for n > 2, dn is even if and only if n is odd.
Hello! For positive integers n, the number of derangements (dn) is even when n is odd. A derangement is a permutation where no object is in its original position. The formula for finding the number of derangements is given by dn = n! * (1 - 1/1! + 1/2! - 1/3! + ... + (-1)^n/n!). When n is odd, the last term in the series has a positive sign, causing the result to be even.
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The diagonal of a rectangle is 58" the site is 40" and the base is 42" what is the ratio of the diagonal to the base of the rectangle
Answer:
29:21
Step-by-step explanation:
The ratio of the diagonal to the base of ration is written as 58:42.
The ratio has the greatest common factor as 2.
58÷2:42÷2
29:21
The simplified ratio becomes 29:21.
4.Is the triangle a right triangle? Why or why not?
Answer: No because 7^2 + 12^2 doesn’t equal 14^2
Step-by-step explanation:
7^2 + 12^2 equals 193. But 14^2 = 196 so the answer is no.
What is eight times negative six
Answer:
-48
Step-by-step explanation:
Answer:
\(-48\)
Step-by-step explanation:
\(--------------------------------------------\)
\(1\cdot-6\) = \(-6\)
\(2\cdot-6\) = \(-12\)
\(3\cdot-6\) = \(-18\)
\(4\cdot-6\) = \(-24\)
\(5\cdot-6\) = \(-30\)
\(6\cdot-6\) = \(-36\)
\(7\cdot-6\) = \(-42\)
\(8\cdot-6\) = \(-48\)
\(Answer\) ↑
\(--------------------------------------------\)
Hope this helps! <3
\(--------------------------------------------\)
ك ل و، مثلث قائم الزاوية في ل ك ل=٥ ، ول=٧، س منتصف الوتر ك و جد طول س ل
Answer:
س ل = 4.3
Step-by-step explanation:
هتسرم وتعين بالمسطرة ^_^
suppose a population was normally distributed with a mean of 10 and standard deviation of 2 . What proportion of the scores are below 12.5? Choose the correct answer 75% 77.8% 92% 89.44% Cannot be calculated
The proportion of scores below 12.5 in a normally distributed population with a mean of 10 and a standard deviation of 2 can be calculated using the Z-score and the standard normal distribution table. In this case, we need to find the area under the curve to the left of the value 12.5.
The Z-score is calculated as (X - μ) / σ, where X is the value we want to find the proportion for, μ is the mean, and σ is the standard deviation. Substituting the given values, we have (12.5 - 10) / 2 = 1.25.
Using the standard normal distribution table or a statistical calculator, we can find that the area to the left of a Z-score of 1.25 is approximately 0.8944. Therefore, the proportion of scores below 12.5 is approximately 89.44%.
In a normal distribution, the Z-score measures the number of standard deviations a value is from the mean. By calculating the Z-score for the value 12.5, we can use the standard normal distribution table to find the proportion of scores below that value.
The table provides the cumulative probability up to a certain Z-score. In this case, the Z-score of 1.25 corresponds to a cumulative probability of approximately 0.8944.
Since the normal distribution is symmetric, the proportion of scores above 12.5 is equal to the proportion below the mean minus the proportion below 12.5.
Hence, subtracting 0.8944 from 1 (or 100%) gives us approximately 0.1056 or 10.56%. Therefore, the proportion of scores below 12.5 is approximately 89.44%.
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Juan runs in place for 256 minutes on Monday. He runs in place for 112 times as long on Tuesday.
Juan draws this model to represent the number of minutes he runs in place on Tuesday.
How many minutes does Juan run in place on Tuesday?
Answer:
the answer is 4.25 or 4 1/4
Step-by-step explanation:
the radius of a sphere is increasing at a rate of 3 mm/s 3 mm/s . how fast is the volume increasing when the diameter is 100 mm 100 mm ?
The rate of increase in the volume of sphere when diameter is 100 mm is 94285.71 mm³/s.
Describe the rate of volume increase?The indicator that demonstrates whether or not the volume trend is emerging either in an up or down direction is the volume rate of change.Let the radius of the sphere be 'r'.
The radius of a sphere is increasing at a rate of 3 mm/s .
Then,
dr / dt = 3 mm/s
Volume of sphere is given as;
v = 4/3 π r³
Then, the change is volume is;
dv / dt = (4/3) π 3r² .dr/dt
= 4πr² x 3
= 12πr²
For radius = 100/2 mm = 50 mm
dv / dt = 12 x 22/7 x 50²
dv / dt = 94285.71 mm³/s
Thus, the rate of increase in the volume of the sphere when diameter is 100 mm is 94285.71 mm³/s.
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What is the slope of the line that passes through the points
(
−
4
,
5
)
(−4,5) and
(
−
7
,
8
)
(−7,8)?
The slope of the line that contains points (-4, 5) and (-7, 8) is equal to -1.
How to calculate the slope of a line?In Mathematics, the slope of any straight line can be determined by using this mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Based on the information provided, we can logically deduce the following data points on the line:
Points on x-axis = (-4, -7).Points on y-axis = (5, 8).Substituting the given data points into the slope formula, we have the following;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (8 - 5)/(-7 - (-4))
Slope (m) = 3/(-7 + 4)
Slope (m) = -3/3
Slope (m) = -1
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Find the slope and the y-intercept of the graph of the linear equation.
y=-7x+2
A) slope: - 1 y-intercept: 2
B) slope: 2; y-intercept: -7
C) slope: -7; y-intercept: 2
D) slope: 2; y-intercept: -7
Answer:
c) Slope;-7;y-intercept:2
Step-by-step explanation:
L. Directions: Choose the outcomes that are writzen correctly below. Identify what's wrong with the statements that are written incorrectly. 1. John will know the four basic food groups by I/14. 2. Mry. Eipert will demoastrate how to use her walker unassisted by Saturday. 3. Mr. McKillop will improve his appetite by 11/5. 4. Erica will list the equipment needed to change sterile dressings by 9/5, 5. Mrs. Baylis will understand the importance of maintaining a salt-free diet. 6. Nurse will bathe client every day during hospitalization. IL. Directions: For each diagnosis or problem below, write an appropriate clieat goal and outcome 1. Constipation related to insufficient roughage intake in diet 2. Altered oral mucous membranes related to poor oral hygiene.
Client will have improved oral hygiene practices, including regular brushing, flossing, and using mouthwash, resulting in healthier oral mucous membranes.
L. Directions: Choose the outcomes that are written correctly below. Identify what's wrong with the statements that are written incorrectly.
1. John will know the four basic food groups by I/14.
- Incorrect: The date format is incorrect; it should be written as 1/14 instead of I/14.
2. Mry. Eipert will demoastrate how to use her walker unassisted by Saturday.
- Incorrect: There is a spelling error in "Mry. Eipert"; it should be "Mrs. Eipert." Additionally, "demoastrate" should be "demonstrate."
3. Mr. McKillop will improve his appetite by 11/5.
- Incorrect: The date format is incorrect; it should be written as 11/5 instead of 11/5.
4. Erica will list the equipment needed to change sterile dressings by 9/5.
- Incorrect: The date format is incorrect; it should be written as 9/5 instead of 9/5.
5. Mrs. Baylis will understand the importance of maintaining a salt-free diet.
- Correct: No issues found. The statement is written correctly.
6. Nurse will bathe client every day during hospitalization.
- Correct: No issues found. The statement is written correctly.
IL. Directions: For each diagnosis or problem below, write an appropriate client goal and outcome.
1. Constipation related to insufficient roughage intake in the diet
- Client Goal: Increase regular bowel movements and relieve constipation.
- Outcome: Client will have a bowel movement at least once daily by incorporating high-fiber foods into the diet.
2. Altered oral mucous membranes related to poor oral hygiene
- Client Goal: Improve oral health and maintain healthy mucous membranes.
- Outcome: Client will have improved oral hygiene practices, including regular brushing, flossing, and using mouthwash, resulting in healthier oral mucous membranes.
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What is the length of BC in the right triangle below?
A. ^234
B. 234
c. ^216
D. 216
We can use the pythagorean theorem to solve this
The pythagorean theorem = a^2 + b^2 = c^2, while
a = one leg
b = the second leg
c = the hypotenuse
In this problem,
a = 3
b = 15
c = ?
Let's plug our values into the pythagorean theorem
(3)^2 + (15)^2 = c^2
9 + 225 = c^2
Add together the left side
234 = c^2
Take the sqrt of both sides
sqrt(234) = c
The length of BC = sqrt(234)
Twice Jill's Age Added To Three Times Tony's Age Is 44. Jill's Age Equals Tony's Age Plus 2 Years. Find Jill's And Tony's Age
the age of jill and tony is 10 and 8 respectively
Twice Jill's Age Added To Three Times Tony's Age Is 44
2m + 3n = 44
Jill's Age Equals Tony's Age Plus 2 Years
m = n + 2
by solving the both equation we get
2(n + 2) + 3n = 44
5n + 4 = 44
5n = 44 - 4
n = 40/5
n = 8
again
m = 8 + 2
m = 10
so the age of jill and tony is 10 and 8 respectively
There are numerous methods to define a mathematical equation. A model is just a mathematical statement that says two theoretical results are equal. For instance, in the equation 3x + 5 = 14, the terms 3x + 5 and 14 are two different formulations that are separated by the symbol "equal." The simplest and most fundamental algebraic equations in mathematics contain one or more parameters.
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An event called __ if the probability it will occur equals 1, plz help im dying (it has 7 letters)
Answer:
"certain"
Step-by-step explanation:
by definition, any event with a probably of 1 is defined as certain (i.e certain to happen)
by contract any even with a probably of 0 is defined as impossible (i.e impossible to happen)
A coat costs $45.39. The tax is $3.64. What's the total cost? A: $3.64
B: $32.08
C: $48.03
D: $49.03
Answer:
d.49.03
Step-by-step explanation:
I would really appreciate some help. I am confused with this problem..it says Solve for
Find the area enclosed by the lemniscate r2=4cos(2θ) r 2 = 4 cos ( 2 θ ) .
Tthe area enclosed by the lemniscate is 4 units squared.
The lemniscate is symmetric about the x-axis and y-axis, so we can find the area in the first quadrant and multiply it by 4.
In polar coordinates, the equation of the lemniscate can be written as:
r^2 = 4cos(2θ)
Squaring both sides, we get:
r^4 = 16cos^2(2θ)
Converting to Cartesian coordinates, we have:
x^2 + y^2 = 16cos^2(2θ)
Using the identity cos(2θ) = (1/2)(cos^2θ - sin^2θ), we can simplify the equation to:
x^2 + y^2 = 8(cos^4θ - cos^2θsin^2θ)
Multiplying both sides by r, we get:
r^2 = 8r(cos^4θ - cos^2θsin^2θ)
Substituting x = rcosθ and y = rsinθ, we get:
x^2 + y^2 = 8(x^2 - xy + y^2)(x^2 + y^2)
Simplifying, we get:
x^4 - 2x^2y^2 + y^4 = (1/8)
This is the equation of a quartic curve, which is symmetric about the x-axis and y-axis.
To find the area enclosed by the lemniscate in the first quadrant, we can integrate over the range 0 ≤ θ ≤ π/4:
A = 4 ∫[0,π/4] ∫[0,r(θ)] r dr dθ
where r(θ) = 2√cos(2θ).
Evaluating the integral, we get:
A = 4 ∫[0,π/4] ∫[0,2√cos(2θ)] r dr dθ
= 4 ∫[0,π/4] (1/2)(2√cos(2θ))^2 dθ
= 4 ∫[0,π/4] 2cos(2θ) dθ
= 4[sin(π/2) - sin(0)]
= 4
Therefore, the area enclosed by the lemniscate is 4 units squared.
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If you flip a fair coin twice, what is the probability of landing on tails both times?
Answer:
25%
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
All the data collected in a particular study are referred to as the? inference. variable. data set. population.
Inference is referred to as all the data collected in a particular study.
What is inference?Etymologically, the word "infer" means to "carry ahead." Inferences are stages in reasoning that connect premises to logical conclusions. The dichotomy between deduction and induction in inference theory, which dates at least to Aristotle in Europe, is a classic one (300s BCE). Deduction is inference that results in logical conclusions from premises that are known to be true or that are presumed to be true, while the logic of correct inference is investigated. A universal conclusion is inferred by induction from specific evidence. Contradistinguishing abduction from induction, Charles Sanders Peirce is credited with identifying a third sort of inference. Researchers in the domains of logic, argumentation studies, and cognitive psychology traditionally study human inference (i.e., how people draw conclusions); artificial intelligence researchers create automated inference systems to mimic human inference.
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if angle 1 is complementary to angle 2 then m angle 1 + m angle 2 = 90given AC = 12 and B is between A and C then AB + BC = 12If angle A and angle B form a linear pair, then angle A and angle B are supplementary
If angle 1 is complementary to angle 2, then m∠1 + m∠2 = 90.
This statement is the Definition of Complementary Angles. The sum of complementary angles is 90 degrees.
Complementary angles always come in pairs while right angle is just one.