Quantitative data is data that is measured on a naturally occurring numerical scale.
This can be seen in the data input as 1, 2, 3, 4, which can be meaningfully added, subtracted, multiplied, or divided. Qualitative data, on the other hand, is data that cannot be meaningfully added, subtracted, multiplied, or divided. The data set consisting of classifications AB, C, and D is qualitative because it can only be classified into categories and cannot be meaningfully added, subtracted, multiplied, or divided. To illustrate this further, let’s take an example. If the categories are colours (A = Red, B = Blue, C = Green, and D = Yellow), the data set AB, C, and D cannot be meaningfully added, subtracted, multiplied, or divided, and therefore is qualitative.
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want more detailed explanation step by step thanks in advance
The function with the greater rate of change is: y = 7x + 9.
How to Determine the Rate of Change of a Linear Function?The slope-intercept form of a linear function is expressed as y = mx + b, where the rate of change is represented as m.
The rate of change for a linear function can also be calculated if we are given a table of values by using just two pairs of points from the table then plugging the values into the formula for rate of change, which is given as:\
m = change in y / change in x = y2 - y1/x2 - x1.
Given the linear function, y = 7x + 9, the rate of change is: 7.
Using two pairs of points from the table of values given, say, (0, 3) and (5, 18):
Rate of change (m) = (18 - 3)/(5 - 0)
Rate of change (m) = 15/5
Rate of change (m) = 3
Thus, the function with the greater rate of change is: y = 7x + 9.
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Find the area of the triangle having the indicated angle and sides. (Round your answer to one decimal place.)
B 128°, a 86, c = 37
The area of the triangle with angle B = 128°, side a = 86, and side c = 37 is approximately 2302.7 square units.
To find the area of a triangle when one angle and two sides are given, we can use the formula for the area of a triangle:
Area = (1/2) * a * b * sin(C),
where a and b are the lengths of the two sides adjacent to the given angle C.
In this case, we have angle B = 128°, side a = 86, and side c = 37. To find side b, we can use the law of cosines:
c² = a² + b² - 2ab * cos(C),
where C is the angle opposite side c. Rearranging the formula, we have:
b² = a² + c² - 2ac * cos(C),
b² = 86² + 37² - 2 * 86 * 37 * cos(128°).
By substituting the given values and calculating, we find b ≈ 63.8.
Now, we can calculate the area using the formula:
Area = (1/2) * a * b * sin(C),
Area = (1/2) * 86 * 63.8 * sin(128°).
By substituting the values and calculating, we find the area of the triangle to be approximately 2302.7 square units.
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State the domain plssssa
Answer:
I think it's {3, 6, 12, 18}
Step-by-step explanation:
Domain: all x-values that are to be used (independent values).
37. The profit P of a small business (in thousands
of dollars) since it was founded can be
by the function below, where tis
the years since 1990. Use the Remainder
Theorem to find the company's profit in 2017.
modeled
P(t) = 0.5tª − 3t³ +t² +25
The company's profit in 2017, modeled by the given function, was $193651949.5
How to find the company's profit in 2017The equation of the function is given as
P(t) = 0.5t^6 − 3t³ +t² +25
First, we calculate the value of t in 2017
t = 2017 - 1990
t = 27
Using the Remainder theorem
To find the company's profit in 2017, we need to substitute t = 27 in the given function P(t):
P(27) = 0.5(27)^6 - 3(27)^3 + (27)^2 + 25
Evaluate
P(27) = 193651949.5
Therefore, the company's profit is $193651949.5
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quadrilateral abcd is a rectangle. if bd= 4x-40and BE x+5 the what is the value of x?
tags: geometry homework help
The value of x is given as follows:
x = 25.
How to obtain the value of x?As quadrilateral ABCD is a rectangle, we have that BD is a diagonal, while BE is the midpoint of the diagonal.
The midpoint of a segment divides the segment into two segments of equal length, hence the equation is given as follows:
BD = 2BE.
Replacing the equations, the value of x is obtained as follows:
4x - 40 = 2(x + 5)
4x - 40 = 2x + 10
2x = 50
x = 25.
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Solve for
X in the equation x2 - 12x+ 36 =90
Answer:
Exact Form:
x = 6 + 3 square root sign 10, 6 - 3 sqaure root sign 10
Decimal Form:
x = 15.48683298...-3.48683298 ...
Step-by-step explanation:
which ones are true ?
Answer:
1. false
2.true
3.false
4.true
5.false
please help! thank uu!~
The intermediate step in the form (x+a)²=b as a result of completing the square for the given equations is (x+4)²=18.
The given quadratic equation is x²+4x-9=-4x-7.
Here, x²+4x-9+4x=-7
x²+8x=-7+9
x²+8x=2 ------(i)
Choose coefficient of x, that is 8.
Half of coefficient of x is 4.
Take square of 4, that is 4²=16
Add 16 to both the sides of the equation, we get
x²+8x+16=2+16
(x+4)²=18
Therefore, the intermediate step in the form (x+a)²=b as a result of completing the square for the given equations is (x+4)²=18.
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What is 9/10 divided by 5/10
Answer:
\(\frac{9}{10}\) ÷ \(\frac{5}{10}\) = 1.8 / \(\frac{9}{5}\) (or 1 \(\frac{4}{5}\))
Step-by-step explanation:
when you convert these fractions to decimals, you get 0.9 and 0.5. then multiply them. the answer is 1.8 as a decimal, 9/5 as a fraction, or 1 4/5 as a mixed number.
Answer:
ur mom ;),its 1.8, just delete it i swear :D
Which expressions are equivalent? CHOOSE ALL THAT APPLY.
Answer:
A, B, and D
Step-by-step explanation:
James types 25 words per minute. He be spends 15 minutes type in his homework what is the domain of the situation
Answer:
he types 375 words in 15 minutes.
Step-by-step explanation:
25x15=375
The domain of the given situation is all numbers between and including 0 and 15.
What is Domain ?The domain of a function is the set of values that we are allowed to put into our function.
This set is the x values in a function
The domain is the independent variable (x)
In this case time is independent and
so Jame can type anywhere between 0 to 15 minutes so the domain can be written as
function(x) = {all numbers between and including 0 and 15}
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Two angles are complementary to each other. One angle measures 18°, and the other angle measures (8x − 28)°. Determine the value of x.
Answer:
Step-by-step explanation
since they are complementary their angles should add up to 90.
18+(8x-28)=90
you solve from there
add common values
8x-10+90
add 10 to both sides
8x=100
divide by 8
x=12.5
The answer is:
x = 12.5Work/explanation:
Since we're given both angles, we can set up an equation and find x.
The sum of two complementary angles is 90°.
Now, set up the equation:
\(\sf{8x-28+18=90}\)
\(\sf{8x-10=90}\)
Add 10 on each side
\(\sf{8x=100}\)
Divide each side by 8
\(\sf{x=12.5}\)
Hence, x = 12.5In a lottery, the top cash prize was $642 million, going to three lucky winners. Players pick five different numbers from 1 to 56 and one number from 1 to 49.
Save
A player wins a minimum award of $225 by correctly matching three numbers drawn from the white balls (1 through 56) and matching the number on the gold ball (1 through 49). What is the probability of winning the minimum award?
The probability of winning the minimum award is
Total number of possible outcomes:
Number of ways to choose 3 numbers from 56 (56 choose 3): 56! / (3! * (56 - 3)!) = 22,957
Number of ways to choose 1 number from 49: 49
Total number of possible outcomes = 22,957 * 49 = 1,128,593
Number of favorable outcomes:
Number of ways to choose 1 number from 49: 1
Number of favorable outcomes = 1
Probability of winning the minimum award:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 1 / 1,128,593 ≈ 0.000000888, or approximately 0.0000888%
Jenny won a charity raffle. Her prize will be randomly selected from the 9 prizes shown below. The prizes include 4 rings, 3 cameras, and 2 headsets.
Prizes
(a) Find the odds against Jenny winning a headset.
(b) Find the odds in favor of Jenny winning a headset.
The odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.
Since Jenny won a charity raffle, and her prize will be randomly selected from the 9 prizes shown below, and the prizes include 7 rings, 1 camera, and 1 headset, to find the odds against Jenny winning a headset, and find the odds in favor of Jenny winning a headset, the following calculations must be performed:
· 1 headset out of 9 total prizes
· 1/9 = headset
· 1/9 x 100 = 11.11%
· 100 - 11.11 = 88.89%
Therefore, the odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.
using a calculator, or otherwise calculate the exact value of 1 4/7 + 2/3 - 1 5/6
Answer:
1/6
Step-by-step explanation:
i used a calculator
Many states assess the skills of their students in various grades. One of the tests provided by a national association assesses the reading skills of 12th-grade students. In a recent year, the national mean score was 286 and the standard deviation was 38. Assuming that these scores are approximately Normally distributed, N(286, 38), use the 68-95-99.7 rule to give a range of scores that includes 95% of these students.
Answer:
95% of these scores are between 210 and 362.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 286, Standard deviation = 38
Use the 68-95-99.7 rule to give a range of scores that includes 95% of these students.
This is within 2 standard deviations of the mean. So
286 - 2*38 = 286 - 76 = 210
286 + 2*38 = 286 + 76 = 362
95% of these scores are between 210 and 362.
[~S & (R V S) ] ≡ (Q ⊃ S) where A = T, S = F, R = F, Q = T
[~S & (R V S)] ≡ (Q ⊃ S) is true when A = T, S = F, R = F, and Q = T by substituting the propositional variables.
What is truth table?A truth table is a table used to determine the truth values of a compound proposition, which is a logical statement made up of simpler propositions using logical operators such as "and" (represented by "&"), "or" (represented by "V"), "not" (represented by "~"), conditional (represented by "⊃"), and biconditional (represented by "≡").
According to question:Let's substitute the given truth values for the propositional variables in the given statement:
[~F & (F V F)] ≡ (T ⊃ F)
Using the truth table for conjunction (represented by "&") and disjunction (represented by "V"), we can simplify the left-hand side of the equivalence:
[T & F] ≡ (T ⊃ F)
Using the truth table for conditional (represented by "⊃"), we can simplify the right-hand side of the equivalence:
F ≡ F
Since both sides of the equivalence have the same truth value, the statement is true.
Therefore, [~S & (R V S)] ≡ (Q ⊃ S) is true when A = T, S = F, R = F, and Q = T.
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Can someone pls help me with number 28.
Answer:
\(f(x) = \frac{3}{x} \\\\g(x) = x - 5\)
Step-by-step explanation:
someone please help me with this
9514 1404 393
Answer:
x = 39
Step-by-step explanation:
The Pythagorean theorem tells you the sum of the squares of the sides of a right triangle is the square of the hypotenuse.
x² +80² = 89²
x² = 89² -80² = 7921 -6400 = 1521
x = √1521
x = 39
Help me please:) ✨✨✨✨✨✨✨✨✨✨
Hello there I think the measure of EBC is 58 degrees.
That's because angles EBC and DBE are complementary. it means that they add up to 90 degrees.
We are given that
DBE=32 degrees.
And we know that angles EBC and DBE add up to 90 degrees.
So we take 90 and subtract the measure of angle DBE (32 degrees)
90-32=58
Hope this helps!
\(GraceRosalia\)Write the ratio 27 feet to 24 yards as a fraction in simplest form. (Hint: 3 feet = 1 yard.)
Answer:
9/8
27 divided by 3 = 9
24 divided by 3 = 8
I hope this helps!
The ratio in the simplest form of 27 to 24 is equal to 9:8 or 9/8.
What is ratio?When comparing two or more numbers, the phrase ratio is used in mathematics. When one quantity is related to another, it can be used to show how big or tiny it is. Division is used to compare two quantities in a ratio. The term "antecedent" in this context refers to the dividend, and "resultant" to the divisor.
From the given information in the question,
To find the simplest form, divide numerator and denominator with the same number.
Numerator = 27 feet
In simple form = 27/3 = 9
Denominator = 24 yards = 72 feet
In simple form = 72/3 = 24
= 9/24
= 3/8 is the simplest form.
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Dakota earned $15.00 in interest in Account A and $22.50 in interest in Account B after 18 months. If the simple interest rate is 4% for Account A and 5% for Account B, which account has the greater principle? Explain.
Answer:
Step-by-step explanation:
Dakota kiếm được 15 đô la tiền lãi trong Tài khoản A và 22,50 đô la tiền lãi trong Tài khoản B sau 18 tháng
Can someone help find the surface area, then round the answer to the nearest whole number please?
The Surface Area of cylinders are: 100 yd² , 264 m², 226 mm²
The Surface Area of Can is 219 cm².
We know the formula for Surface Area of Cylinder
= 2πrh
1. Radius = 2 yd
Height = 8 yd
So, Surface Area of Cylinder
= 2πrh
= 2 x 3.14 x 2 x 8
= 100 yd²
2. Radius = 7 m
Height = 6 m
So, Surface Area of Cylinder
= 2πrh
= 2 x 3.14 x 6 x 7
= 264 m²
3. Radius = 3 mm
Height = 12 mm
So, Surface Area of Cylinder
= 2πrh
= 2 x 3.14 x 3 x 12
= 226 mm²
4. Radius = 3.5 cm
Height = 10 cm
So, Surface Area of Can
= 2πrh
= 2 x 3.14 x 3.5 x 10
= 219 cm²
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Higher Order Thinking Morgan read
a thermometer at 7:00 P.M. The
temperature was 16°C. This temperature
was 9°C less than the temperature at
2:00 P.M. The temperature at 2:00 P.M.
was 10°C higher than the temperature at
8:00 A.M. What was the temperature at
8:00 A.M.?
The temperature at 8:00 A.M. was 15°C.
Using the given information:
1. At 7:00 P.M., the temperature was 16°C.
2. This temperature was 9°C less than the temperature at 2:00 P.M.
We can use this information to find the temperature at 2:00 P.M.:
Temperature at 2:00 P.M. = 16°C (temperature at 7:00 P.M.) + 9°C
Temperature at 2:00 P.M. = 25°C
3. The temperature at 2:00 P.M. was 10°C higher than the temperature at 8:00 A.M.
Now, we can find the temperature at 8:00 A.M.:
Temperature at 8:00 A.M. = 25°C (temperature at 2:00 P.M.) - 10°C
Temperature at 8:00 A.M. = 15°C
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Find the lengths of HJ
Answer:
What's HJ? Never heard of it
Which inequality is shown in the graph?
Answer:
The answer is "A" i think not 100% sure
tell me if wrong
A random sample of medical files is used to estimate the proportion p of all people who have blood type B. (a) If you have no pre-liminary estimate for p, how many medical files should you include in a random sample in order to be 90% sure that the point estimate will be within a distance of 0.03 from p?(b) Answer part (a) if you use the pre-liminary estimate that about 13 out of 90 people have blood type B.
Answer:
a) 752 medical files should be included.
b) 372 medical files should be included.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which
z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).
The margin of error is of:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
90% confidence level
So \(\alpha = 0.1\), z is the value of Z that has a p-value of \(1 - \frac{0.1}{2} = 0.95\), so \(Z = 1.645\).
Question a:
This is n for which M = 0.03. We have no estimate, so we use \(\pi = 0.5\). So
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
\(0.03 = 1.645\sqrt{\frac{0.5*0.5}{n}}\)
\(0.03\sqrt{n} = 1.645*0.5\)
\(\sqrt{n} = \frac{1.645*0.5}{0.03}\)
\((\sqrt{n})^2 = (\frac{1.645*0.5}{0.03})^2\)
\(n = 751.67\)
Rounding up:
752 medical files should be included.
Question b:
Now we have that:
\(\pi = \frac{13}{90} = 0.1444\)
So
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
\(0.03 = 1.645\sqrt{\frac{0.1444*0.8556}{n}}\)
\(0.03\sqrt{n} = 1.645\sqrt{0.1444*0.8556}\)
\(\sqrt{n} = \frac{1.645\sqrt{0.1444*0.8556}}{0.03}\)
\((\sqrt{n})^2 = (\frac{1.645\sqrt{0.1444*0.8556}}{0.03})^2\)
\(n = 371.5\)
Rounding up:
372 medical files should be included.
Evaluate |x - y| + 4 if x = -1, y = 3, and z = -4.
Answer:
8
Step-by-step explanation:
Substitute the values in the expression, we have:
\(\displaystyle{|-1-3|+4}\)
Evaluate:
\(\displaystyle{|-4|+4}\)
Any real numbers in the absolute sign will always be evaluated as positive values. Thus:
\(\displaystyle{|-4|+4 = 4+4}\\\\\displaystyle{=8}\)
Hence, the answer is 8. A quick note that z-value is not used due to lack of z-term in the expression.
Mr Hassan grew at a rate of 1/6 feet per year. How long will it take him to grow from a height of 5 1/2 feet to a height of 6 1/4 feet
Answer:
Who knows!?
Step-by-step explanation:
1. Which statement is true? (1 point)
29 20
35
18
34
14
A
A
30
16
32
17
>
21 24
20 28
15
23
Fraction - A,C,D is the incorrect option that means 18 >17 is the correct option B
What does compare mean in fractions?Equivalent fractions with the same denominator should be used to compare fractions with different denominators. Comparing fractions: If the denominators are the same, the numerators can be compared. The greater fraction is the one with a larger numerator.
Now, comparing the fraction,
first of all write the fraction in simplest form then cross multiplication.
1. \(\frac{29}{35} < \frac{20}{30}\)
\(\frac{29}{35} < \frac{2}{3}\)
87 < 70
This option is wrong.
2. \(\frac{18}{34} > \frac{16}{32}\)
\(\frac{9}{17} > \frac{1}{2}\)
18 >17
This option is correct.
3. \(\frac{14}{21} > \frac{17}{24}\)
\(\frac{2}{3} > \frac{17}{24}\)
48 > 51
This option is wrong.
4. \(\frac{20}{15} < \frac{28}{23}\)
\(\frac{4}{3} < \frac{28}{23}\)
92 < 84
This option is wrong.
Hence, option b is correct.
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