Variables that can only take on a finite number of values are called "discrete variables." All qualitative variables are discrete. Some quantitative variables are discrete, such as performance rated as 1,2,3,4, or 5, or temperature rounded to the nearest degree.
Please explain on how to do this.
Answer:
2.8 * 1.4 = 3.92.
Hope this answer helps you. Thank you.
Answer:
hope it helps you.........
Express the equation y=x^2+8x+25 in the form y=a(x-h)^2+ka. y=a(x-h)^2+kb. y=(x+4)^2+9c. y=(x-4)^2-9d.y=(x-4)^2+9
ANSWER :
The answer is B. y = (x + 4)^2 + 9
EXPLANATION :
From the problem, we have :
\(y=x^2+8x+25\)Group the terms in which the constant term and the terms with variables are separated.
\(y=(x^2+8x)+(25)\)add and subtract a variable m to the parenthesis to maintain equivalency.
\(y=(x^2+8x+m)+(25-m)\)Calculate the value of m using b^2/4a^2 with a = 1 and b = 8
\(m=\frac{b^2}{4a^2}=\frac{8^2}{4(1^2)}=16\)Then :
\(\begin{gathered} y=(x^2+8x+16)+(25-16) \\ y=(x^2+8x+16)+(9) \end{gathered}\)The first parenthesis will be a perfect square trinomial.
Factor and simplify :
\(\begin{gathered} y=(x^2+8x+16)+9 \\ y=(x+4)^2+9 \end{gathered}\)PLEASE GIVE ME THE RIGHT ANSWER TO THIS.
Answer:
d
Step-by-step explanation:
it passes through (0,1) and (2,0)
slope=(0-1)/(2-0)=-1/2
eq. of line through (0,1) and slope -1/2 is
y-1=-1/2(x-0)
2y-2=-x
x+2y=2
A factory can make 3 x 104 t-shirts in one day.How many t-shirts will it make in 2.5 x 102 days?
7.5 × 10 ^6
hope it helps!
What is the slope of a line perpendicular to the line whose equation is 2x+y=3
Answer:
-1/2
Step-by-step explanation:
perpendicular slopes are the opposite reciprical
so you basically flip it and change the sign
hope this helps <3
2x^2+10x-12
look for GCF & rewrite at four terms☝️
factor by grouping☝️
The fully factored form of 2x^2 + 10x - 12, both through grouping and factoring out the GCF, is 2(x + 6)(x - 1).
To find the greatest common factor (GCF) of the expression 2x^2 + 10x - 12, we need to identify the largest common factor among all the coefficients and variables. In this case, the GCF is 2.
To rewrite the expression with four terms, we can factor out the GCF from the first two terms and the last two terms. Here's the breakdown:
2x^2 + 10x - 12
First, let's factor out the GCF, which is 2:
2(x^2 + 5x - 6)
Now we have the expression written with four terms: 2x^2 + 10x - 12 becomes 2(x^2 + 5x - 6).
To factor the expression further using the method of grouping, we need to find two numbers that multiply to -6 and add up to 5 (the coefficient of the middle term, 5x).
The numbers that satisfy these conditions are 6 and -1 since 6 * (-1) = -6 and 6 + (-1) = 5.
We can now rewrite the middle term (5x) as the sum of these two numbers:
2(x^2 + 6x - x - 6)
Now we can group the terms:
2[(x^2 + 6x) + (-x - 6)]
Next, we factor out the common factors from each group:
2[x(x + 6) - 1(x + 6)]
Notice that both terms in the brackets have a common factor, which is (x + 6). We can factor it out:
2(x + 6)(x - 1)
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6) The weights of five students are as follows. Find their
median weight.
48kg, 59kg, 43kg 63kg, 52kg
Answer:
52kg
Step-by-step explanation:
If you put the numbers in order from least to greatest you get:
43, 48, 52, 59, 63. The median is the one in the middle. So you get 52 is the median
Answer:
Hey here's ur answer
Step-by-step explanation:
Hope it helps
If r varies inversely as the cube of s, and r= 15 when s = 3, find r when s = 5.
"r" has a value of 3.24 when s = 5.
Given : r=15 when s=3
To Find: The value of r when s=5
Solution: When one item changes for a specific occurrence and the other changes as a result, there occurs a phenomenon of contrast, which is known as being "inversely proportional".
Now, if we assume that c is constant, and r changes inversely as the cube of s, we have:
⇒rxs³=c [to follow the inverse proportion assuming that we use a constant "c"]
⇒c=15 x (3)³ [r=15 and s=3 values substituted]
⇒c = 405
Find the value once more for the second example.
c will be 405 for r when s=5 since it is a constant.
in order to write:
rxs³=c
→ r=c/(s)³
⇒ r=405/3 [ As the values of c=405 and s=5]
⇒r=3.14
Therefore, r has a value of 3.24 when s = 5.
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Find an equation for the line with the given properties. Express your answer using slope -intercept form of the equation of a line. Perpendicular to the line y=(1)/(3)x-2; containing the point (-2,6)
Given statement solution is :- The equation of the line perpendicular to y = (1/3)x - 2 and containing the point (-2, 6) is y = -3x.
To find the equation of a line perpendicular to the given line and passing through the point (-2, 6), we need to determine the slope of the perpendicular line.
The given line has a slope of 1/3. The slope of a line perpendicular to this line will be the negative reciprocal of the given slope. So, the slope of the perpendicular line will be -3/1 or -3.
Now, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1),
where (x1, y1) is the given point and m is the slope.
Using the point (-2, 6) and the slope -3, we substitute these values into the equation:
y - 6 = -3(x - (-2)).
Simplifying:
y - 6 = -3(x + 2).
Expanding:
y - 6 = -3x - 6.
Now, we can rearrange the equation into slope-intercept form (y = mx + b):
y = -3x - 6 + 6.
Simplifying:
y = -3x.
Therefore, the equation of the line perpendicular to y = (1/3)x - 2 and containing the point (-2, 6) is y = -3x.
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Find the perimeter of this figure
Answer:
8b + 9x + 16
Step-by-step explanation:
Hello!
To find the perimeter, add up all the measures of the sides, and combine like terms.
Like terms are terms in which the variables and exponents are the same. You combine their coefficients to find the value.
Ex:
3x + 2x + 4 + 2 (3x and 2x are like, and 4 and 2 are like)(3 + 2)(x) + (4 + 2)5x + 6Find the Perimeter(4b + 2) + (4b + 2) + (3x + 4) + (3x + 4) + (3x + 4)4b + 4b + 3x + 3x + 3x + 2 + 2 + 4 + 4 + 4 (Combine like terms)8b + 9x + 16The perimeter is 8b + 9x + 16.
Order the values from least to greatest
6/17 0.36 3.6%
Answer:
3.6%, 6/17, 0.36
Step-by-step explanation:
Convert to decimal:
6/17 ≈ 0.3529
0.36 = 0.36
3.6% 3.6/100 = 0.036
Order:
0.036, 0.3529, 0.36
Hope this helps.
Write an equality or inequality that relates m
Answer:
X<12
Step-by-step explanation:
5X-10<50
5X<60
X<12
The radius of a cylinder is 3 inches, and the cylinder's height is 10 inches. What is the exact volume of the cylinder?
Answer:
282.74in
Step-by-step explanation:
what is the answer of this question
Answer:
\(\frac{7^2 * 7^{3} * z^5}{z^3 * 10}\\\\= \frac{7^5 * z^2}{10}\\\\= \frac{16805z^2}{10}\)
I'm not sure if it's correct
express the confidence interval 0.252±0.044 in the form of p−e
To express the confidence interval 0.252 ± 0.044 in the form of p - e, we need to determine the center point (p) and the error margin (e).
The center point (p) is the middle value of the confidence interval, which is 0.252.
The error margin (e) is half of the width of the confidence interval, which is half of 0.044, so e = 0.022.
Therefore, the confidence interval 0.252 ± 0.044 can be expressed as:
p - e = 0.252 - 0.022
So, the confidence interval can be written as 0.230 ≤ p ≤ 0.274, where p represents the true value within the confidence interval.
In statistics, a confidence interval is a range of values that is likely to contain the true value of a population parameter. The confidence interval is usually represented as a point estimate (the center point) plus or minus a margin of error.
In the given case, the confidence interval is 0.252 ± 0.044. The center point, denoted as "p," is the estimated value based on the sample data, which is 0.252. The margin of error, denoted as "e," represents the uncertainty or variability in the estimate, which is 0.044.
Expressing the confidence interval in the form of p - e, we subtract the margin of error from the center point to obtain the lower bound, and add the margin of error to the center point to obtain the upper bound. In this case, the lower bound is 0.252 - 0.022 = 0.230, and the upper bound is 0.252 + 0.022 = 0.274.
So, the confidence interval 0.252 ± 0.044 can be interpreted as stating that we are 95% confident that the true value (represented by p) falls within the range of 0.230 to 0.274. This means that if we were to repeat the sampling process and construct confidence intervals in the same way, approximately 95% of those intervals would contain the true population parameter.
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In the figure above, the geometric mean is formed between a and b if a/x = b/x. True False
Answer:
false
Step-by-step explanation:
Can someone help me with those questions? (Try your best plzz)
Answer:
Step-by-step explanation:
1. 34 animals because of 34 heads.
94 legs: 4 per cow, 2 per chicken
x= # of cows
y= # of chickens
so x+y=34
4x+2y=94
Multiply the first equation by -2 is -2x-2y=-68 and add it to the first equation.
which is 2x=26. so x=13. Since x+y=34, 13+y=34.
Therefore, y=21
13 cows and 21 chickens.
2. lets say
pizza=y
soda=x
6x+x=14 combine like terms
7x=14 divide both sides by 7
x=2
So a soda is $2.
6*2=12. So the pizza is $12.
12+2=14. So it's correct.
3.
# of DVDS=x
# of Bluray= y
11x+17y=95
x+y=7
dvds-4
blu-ray-3 (I just did trial and error, but it's correct)
4.
# of 2-points= x
# of 3-points= y
2x+3y=18
2(6)+3(2)=18
so 6 two-point shots and 2 three-point shots.
5.
12 coins are quarters and 14 are dollar coins.
let q stand for the number of quarters
and 26 coins in total
26-q= dollar coins
x=dollar coins too
so its 1x+.25(26-x)=17
1x+6.5-0.25x=17
.75x+6.5=17
.75x=10.5
x=14
17-14=3
3*4= 12 since 4 quarters in a dollar.
simplify
√(8+2√15)
Please hurry
Decimal form is 3.96811878
the scaling assumptions underlying a question determine which measure is appropriate. a. descriptive b. inference c. difference d. association
The scaling assumptions underlying a question determine which descriptive measure is appropriate.
The descriptive degree can be defined as the sort of measure handling the quantitative information in a mass that famous certain preferred characteristics. The descriptive measure has different types, all depending on the one-of-a-kind characteristics of the statistics. One very critical degree is the correlation coefficient, now and again referred to as Pearson's r. The correlation coefficient measures the diploma of linear association between two variables.
A statistic is a numerical descriptive degree computed from sample information. A parameter is a numerical descriptive measure of a populace. Descriptive facts encompass measures of the count, together with; frequencies and chances, measures of vital tendency including; imply, median, and mode, measures of variability including; trendy deviation, variance, and kurtosis, and measures of role, along with; percentiles and quartiles.
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Find the slope of the line that passes through the given points.
(-5, 2) and (-2,8)
A 1/2
B 2
C -2
D) 6/7
E -6/7
Answer:
I do not know
Step-by-step explanation:
consider the functions f and g
Answer:
its B hope this helps :)
Step-by-step explanation:
Answer:
C. 9Step-by-step explanation:
Given
f(x) = -x³g(x) = |1/8x - 1|To find
Value of (g ο f)(4)Solution
(g ο f)(x) = g(f(x)) = |1/8(-x)³ - 1|, replace x with f(x) in the function g(x)(g ο f)(4) = | 1/8(-4)³ - 1 | = | -8 - 1 | = | - 9| = 9Correct option is C
pls answer fast I will give you hundred points
Hudson and Knox are in a race. Hudson is running at a speed of 8. 8 feet per second. Knox got a 30-foot head start and is running at a speed of 6. 3 feet per second. How many seconds will it take until Hudson and Knox have run the same number of feet? Write the equation
It will take 12 seconds until Hudson and Knox have run the same number of feet.
Let's denote the time it takes until Hudson and Knox have run the same number of feet as "t" (in seconds).
The distance Hudson runs can be calculated by multiplying his speed (8.8 feet/second) by the time "t". Thus, the distance Hudson covers is 8.8t feet.
Knox, on the other hand, had a head start of 30 feet. So the distance Knox covers can be calculated by multiplying his speed (6.3 feet/second) by the time "t" and adding the head start of 30 feet. Thus, the distance Knox covers is 6.3t + 30 feet.
To find the time when both runners have covered the same distance, we set their distances equal to each other:
8.8t = 6.3t + 30
Simplifying the equation:
2.5t = 30
Dividing both sides by 2.5:
t = 30 / 2.5
t = 12
Therefore, it will take 12 seconds until Hudson and Knox have run the same number of feet.
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In a sale, the price of a book is reduced by 25%.
The price of the book in the sale is £12
Work out the original price of the book
Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book
Answer: £16
Step-by-step explanation:
To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.
75% of x = £12
To solve for x, we can set up the equation:
0.75x = £12
To isolate x, we divide both sides of the equation by 0.75:
x = £12 / 0.75
x = £16
Therefore, the original price of the book was £16.
Which graph represents 3x2 + 3y2 – 48x + 60y + 384 = 0?
it was helpful to you:
\(3 {x}^{2} + 3 {y}^{2} - 48x + 60y + 384 = 0 \\ \\ (x - a) {}^{2} + (y - b) {}^{2} = {r}^{2} \\ is \: the \: circle \: equcation \\ with \: a \: radius \: r \: centered \\ at \: (a \: b) \\ \\ rewrite \: 3 {x}^{2} + 3 {y}^{2} - 48x + 60y + \\ 384 = 0 \: in \: the \: standard \: of \: \\ circle \: equation \\ (x - {8}^{2} ) + (y - ( - 10)) {}^{2} \\ \\ therefore \: the \: circle \: properties \\ \: are \: (a \: b) = (8 \: - 10) \: r = 6 \\ \\ answer \: is \: (8 \: - 10) \: r = 6\)
Answer:
Answer is A!
Step-by-step explanation:
I got it right on edg 2021!
4(3x + 2) <5(3x - 2)
Answer:
6 < x
Step-by-step explanation:
4(3x + 2) <5(3x - 2)
Distribute
12x +8 < 15x -10
Subtract 12 x from each side
12x +8-12x < 15x-12x -10
8 < 3x - 10
Add 10 to each side
8+10 < 3x-10+10
18 < 3x
Divide by 3
18/3 < 3x/3
6 < x
A circle centered at the origin has a radius of 12. What is the equation of the circle? us2 95
The equation of the circle centered at the origin with a radius of 12 is x² + y² = 144.
In order to find the equation of a circle centered at the origin with a radius of 12, we need to use the standard form equation of a circle, which is:
(x - h)² + (y - k)² = r²
Where (h,k) represents the center of the circle, and r represents the radius.
In this case, since the circle is centered at the origin, h = 0 and k = 0. Also, since the radius is 12, we can substitute r = 12 in the above equation to get:
x² + y² = 12²
Simplifying further, we get:
x² + y² = 144
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PLEASE HELP! 50 POINTS!! 9x-20+x² =?
Answer: (x+4.5)^2-40.25
Step-by-step explanation:
x^2+9x-20=
x^2+9x+4.5^2-4.5^2-20=
x^2+9x+20.25-20.25-20=
(x+4.5)^2-20.25-20=(x+4.5)^2-40.25
\(\huge \boxed{\sf 9}\\\\\\\sf x^2+9x-20\\\\An\ integer\ is\ a\ coefficient\ when\ multiplied\ by\ a\ variable.\\\\9\ is\ multiplied\ by\ x.\)
solve for 'x' given that;
3 sin( 3x-20°) = 2 for 0° ≤ x ≤ 180°
Answer:
x ≈ 20.6°
Step-by-step explanation:
3 sin( 3x-20° ) = 2 → sin( 3x-20° ) = ⅔ → 3x - 20° = arcsin(⅔) → 3x = 20° + arcsin(⅔) →
x = ⅓(20° + arcsin(⅔)) , arcsin(⅔) = 41.81°
x = ⅓( 20° + 41.81° ) = ⅓(61.81°) ≈ 20.6°
help me or i feed you to mr.krabs
Answer:
ok I will not help u, u played urself