Answer:
The feature that makes the sample representative of the population is the choice of the contact mode (telephone landline or cellular phone line) with proportions representative of the ages of the subjects to be represented.
Step-by-step explanation:
The feature that makes the sample representative of the population is the choice of the contact mode (telephone landline or cellular phone line) with proportions representative of the ages of the subjects to be represented.
Older people tend to manage with landline phones, while younger people tend to have no landline phones but cell phone. Both groups must be proportionally represented to be representative of an adult population (18 years or older).
Which expression is equivalent to 8√6
a √14
b √48
c √96
d √384
The equivalent expression of 8√6 is √384, because when it is simplified, it gives the same value.
What is Equivalent ExpressionA mathematical expression that can be streamlined or reorganized to have the same value as the original expression but with a different form is known as an equivalent expression. The commutative, associative, and distributive qualities of arithmetic, as well as the properties of operations like simplifying fractions, combining like terms, and manipulating the order of operations, are used to create equivalent expressions.
For instance, regardless of the value of x, the equations 2x + 3x and 5x reflect the same value and are therefore identical. The like phrases 2x and 3x can be combined to make both expressions simpler to 5x.
A mathematical expression that can be streamlined or reorganized to have the same value as the original expression but with a different form is known as an equivalent expression. The properties of arithmetic, as well as the properties of operations like simplifying fractions, combining like terms, and manipulating the order of operations, are used to create equivalent formulations.
In the expression given;
The expression 8√6 have an equivalent of √384.
This is because the simplified form of √384 is 8√6
Learn more on equivalent expression here;
https://brainly.com/question/2972832
#SPJ1
Answer:
D.) √384
Step-by-step explanation:
Solve the linear equality 4x-7 <5
Answer:
X<3
Step-by-step explanation:
4x-7 <5
4x < 5+7
4x < 12
X < 12/4
X < 3
Hope this helps..
Good Luck!
Mary is running a marathon which is a total of 26 miles. She is running at a pace of 7.5 miles per hour and
has already run 8 miles. If she stays at the same pace, how much time in hours does she have left?
Answer:
2.4 hours
Step-by-step explanation:
If Mary is running 26 miles at a pace of 7.5 miles per hour, it will take her 3.47 hours to run the full course.
26/7.5 = 3.466666...
If she has run 8 miles, 1.07 hours have passed.
8/7.5 = 1.06666666...
Subtract the total time from the time that has already passed to find the time left.
3.47 - 1.07 = 2.4
Mary has 2.4 hours left.
Scores on a recent national statistics exam were normally distributed with a mean of 82.2 and a standard deviation of 5.If the top 2.5% of test scores receive merit awards, what is the lowest score eligible for an award
Answer:
The lowest score eligible for an award is 92.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
[tex]\mu = 82.2, \sigma = 5[/tex]
If the top 2.5% of test scores receive merit awards, what is the lowest score eligible for an award
The lowest score is the 100 - 2.5 = 97.5th percentile, which is X when Z has a pvalue of 0.975. So X when Z = 1.96. Then
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.96 = \frac{X - 82.2}{5}[/tex]
[tex]X - 82.2 = 5*1.96[/tex]
[tex]X = 92[/tex]
The lowest score eligible for an award is 92.
On one episode of his show, a radio show host encouraged his listeners to visit his website and vote in a poll about proposed tax increases. Of the 4821 people who vote, 4277 are against the proposed increases. To which of the following populations should the results of this poll be generalized?
(a) All people who have ever listened to this show
(b) All people who listened to this episode of the show
(c) All people who visited the show host's website
(d) All people who voted in the poll
(e) All people who voted against the proposed increases
Answer:
(d) All people who voted in the poll.
Step-by-step explanation:
The poll can only be generalized to the people who voted in the poll.
Out of this poll we get a estimation of the population proportion. But about the people who listen to the show but did not vote in the poll or even the ones that visit the website but did not vote, we can not infere nothing using the results of the poll as we don't know if they are against the proposed increases or not.
If the people who voted in the poll were a representative sample of certain group, then we could generalize the results for this group.
In a class⅗ of the children are going to special event If there are 30 children in the class,how many are going
Answer:
18
Step-by-step explanation:
3/5 x 30
(3 times 30)divided by 5
= 18 children are going.
Hope this helps:-)
kanna takes 57 minute to sew a pair of trousers,how much time does kanna needs to sew 49 pairs of trousers
And show how you got your answer
Answer:
let the amount of time needed to sew 49 pair of trousers be x
If 1 pair of trousers = 57 minutes
49 pairs of trousers = 49 × 57/1
= 2793 minutes
Hope this helps.
Answer:
46 hours and 55 minutes
Step-by-step explanation:
If 57 minutes is required for 1 pair, to find how much time it will take to sew 49 pairs we simply multiply 57 by 49
After you do that you will be left with 2,793 minutes.
Since 60 minutes make an hour we divide the answer by 60.
2,793 ÷ 60 = 46 hours and 55 minutes.
I really hope this helps.
The speed of cars passing through the intersection of Blossom Hill Road and the Almaden Expressway varies from 14 to 35 mph and is uniformly distributed. None of the cars travel over 35 mph through the intersection.Required:a. What is the probability that the speed of a car is at most 26 mph?b. What is the probability that the speed of a car is between 18 and 22 mph?c. What is the probability that the speed of a car is below 19 given that it is below 56 mph?d. What is the probability that the speed of a car is exactly 19 or 56 mph
Answer:
a)[tex] P(14\leq X \leq 26) = \frac{12}{21}[/tex]
b) [tex]P(18\leq X \leq 22) = \frac{4}{21}[/tex]
c) [tex]P(X\leq 19) = P(14\leq X \leq 19) = \frac{5}{21}[/tex]
d) [tex]P(\{X=19\}\cup\{X=56\}) = 0[/tex]
Step-by-step explanation:
Let X be the speed of a car. So, we know that X is distributed uniformly over the interval [14,35]. Recall that if X is distributed uniformly over the set [a,b] then the density function of X is
[tex] f(x) = \frac{b-a}[/tex if x is in the set [a,b] and 0 otherwise.
So in our case, the density function is [tex] f(x) = \frac{1}{21}[/tex]. Using this function we have that
[tex]\text{P}(a \leq X\leq b) = \int_{a}^{b} f(x) dx[/tex]. In this case
[tex]P(a\leq X \leq b = \int_{a}^{b} \frac{1}{21}dx = \frac{b-a}{21}[/tex] when a,b are in [14,35].
a).We are asked for [tex]P(X\leq 26) = P(14\leq X \leq 26) = \frac{26-14}{21}=\frac{12}{21}[/tex]
b) [tex]P(18\leq X \leq 22) = \frac{4}{21}[/tex]
c) Note that since 35 < 56 it is always true that the speed is under 56. So, the probability that the speed of the car is less than 19 given that the speed is below 56 is the same as having the probability that the speed is less than 19. That is
[tex]P(X\leq 19) = P(14\leq X \leq 19) = \frac{5}{21}[/tex]
d) It is impossible that the speed is 19 and 56 at the same time, so the probability that the speed is 19 and 56 is 0. Since the speed is at most 35, it is impossible that the speed is 56. So the probability of having that the speed is 56 is 0. Recall from the definition that
[tex] P(X=19) = P(19\leq X \leq 19) = \frac{19-19}{21} = 0[/tex]
So, using the following formula for events A,B
[tex]P(A\cup B) = P(A)+P(B) - P(A\cap B) [/tex]
then,
[tex]P(\{X=19\}\cup\{X=56\}) = 0[/tex]
. A bag contains 6 red and 3 black chips. One chip is selected, its color is recorded, and it is returned to the bag. This process is repeated until 5 chips have been selected. What is the probability that one red chip was selected?
Answer:
The probability that one red chip was selected is 0.0053.
Step-by-step explanation:
Let the random variable X be defined as the number of red chips selected.
It is provided that the selections of the n = 5 chips are done with replacement.
This implies that the probability of selecting a red chip remains same for each trial, i.e. p = 6/9 = 2/3.
The color of the chip selected at nth draw is independent of the other selections.
The random variable X thus follows a binomial distribution with parameters n = 5 and p = 2/3.
The probability mass function of X is:
[tex]P(X=x)={5\choose x}\ (\frac{2}{3})^{x}\ (1-\frac{2}{3})^{5-x};\ x=0,1,2...[/tex]
Compute the probability that one red chip was selected as follows:
[tex]P(X=1)={5\choose 1}\ (\frac{2}{3})^{1}\ (1-\frac{2}{3})^{5-1}[/tex]
[tex]=5\times\frac{2}{3}\times \frac{1}{625}\\\\=\farc{2}{375}\\\\=0.00533\\\\\approx 0.0053[/tex]
Thus, the probability that one red chip was selected is 0.0053.
Answer:
0.0412
Step-by-step explanation:
Total chips = 6 red + 3 black chips
Total chips=9
n=5
Probability of (Red chips ) can be determined by
=[tex]\frac{6}{9}[/tex]
=[tex]\frac{2}{3}[/tex]
=0.667
Now we used the binomial theorem
[tex]P(x) = C(n,x)*px*(1-p)(n-x).....Eq(1)\\ putting \ the \ given\ value \ in\ Eq(1)\ we \ get \\p(x=1) = C(5,1) * 0.667^1 * (1-0.667)^4[/tex]
This can give 0.0412
The California license plate has one number followed by three letters followed by three numbers. How many different license plates are possible? Do not use commas in your answer. Answer:
Answer:
175760000
Step-by-step explanation:
There are 26 different letters and 10 different single digits that are a possibility.
Multiply all the possibilities together to get the total possible results.
10x26x26x26x10x10x10
Multiplying all those numbers gets 175760000 different possibilities.
what are the possible values of x in 8x^2+4=-1 a. 2+-iroot/3 b. -1+-i/6 c.-1+-i/4 d.1+-i/4 e. 1+-i root 2/4
Answer:
x = ± i sqrt(5/8)
Step-by-step explanation:
8x^2+4=-1
Subtract 4 from each side
8x^2+4-4=-1-4
8x^2 = -5
Divide by 8
8/8x^2=-5/8
x^2 = -5/8
Take the square root of each side
sqrt(x^2) = ±sqrt(-5/8)
x = ±sqrt(-5/8)
x = ±sqrt(5/8) sqrt(-1)
x = ± i sqrt(5/8)
If school A is ahead of school B on day 6 which I statement might be true ?
Answer:
The third answer should be correct :)
help asap plz zzzzzz
Answer:
Area of the triangle = 10 m²
Step-by-step explanation:
If you flip the triangle upside down, You get a triangle with a base of 5 and height of 4. You can use the triangle area formula [tex]\frac{1}{2} *b*h[/tex] to solve.
[tex]\frac{1}{2} *5*4=\\\\\frac{1}{2} *20=\\\\10[/tex]
The triangle's area is 10
ILL GIVE AS MANY POINTS AS U WANT PLZ HELP MEEE I don't use this please help
Answer:
Ok, "steeper than y = x^2" means that the function grows "faster" than y = x^2. and we can look at this by looking at the derivates, if the derivate is larger, then it is steeper.
The derivate of y = x^2 is: y´= 2x.
Now let's look at the other functions.
a) y = (1/2)*x^2
the derivate is:
y' = 2*(1/2)*x = x
this function is less steep than y = x^2
b) y = -x^2
the derivate is:
y' = -2x
So we have, in absolut value, exactly the same than for y = x^2.
The difference is that here the function decays instead of growing, so this is "less steep than y = x^2)
c) y = (2x)^2 = 4*x^2
the derivate is:
y´= 2*4*x = 8*x
this is steeper than y = x^2-
d) y = 2x^2
the derivate is:
y´= 2*2*x = 4x.
this is steeper than y = x^2
e) y = (x/2)^2 = (1/4)*x^2
the derivat is:
y' = (2/4)*x = (1/2)*x
so this is lees steep than y = x^2
8x+7-3=-20 solve for equation
What is provided won't really end up being an equation... however. you can just solve for x if you wanted
8x+7-3=-20
8x+4=-20
8x=-24
x=-3
Answer:
x=-3
Step-by-step explanation:
A triangle has side lengths of $10,$ $24,$ and $26.$ Let $a$ be the area of the circumcircle. Let $b$ be the area of the incircle. Compute $a - b.$
Answer:
a-b = 156πStep-by-step explanation:
For the inscribed circle
Formula for calculating the radius of an inscribed circle in a triangle r = Area of the triangle/0.5 of its perimeter
Given a triangle of side 10, 24 and 26.
Area of the triangle = 1/2 * base * height
Area of the triangle = 1/2*10*24
Area of the triangle = 120
Perimeter of the triangle = 10+24+26 = 60
radius of the inscribed circle = 120/0.5(60)
r = 120/30
r = 4
Area of the incircle b = πr² = π(4)² = 16π
For the circumcircle
Formula for calculating the radius of a circumcircle outside a triangle
R = abc/4√s(s-a)(s-b)(s-c)
s = a+b+c/2
a, b and c are the length of the 3 sides
s = 10+24+26/2
s = 60/2 = 30
R = 10(24)(26)/4√30(20)(6)(4)
R = 6240/4*120
R = 13
radius of the circumcircle = 13
Area of the circumcircle a = πR² = π(13)² = 169π
a - b = 169π - 16π
a-b = 156πAnswer:
It's 153 pi.
Step-by-step explanation:
Solution:
Let the triangle be $ABC,$ with $AB = 10,$ $BC = 24,$ and $AC = 26.$
Since $10^2 + 24^2 = 26^2$, we know that $\triangle ABC$ is a right triangle with hypotenuse $\overline{AC}$. The hypotenuse of a right triangle is a diameter of the triangle's circumcircle, so the area of the circumcircle of $ABC$ is $(26/2)^2\pi = 169\pi$.
Turning to the incircle, we start with the fact that $[ABC] = rs$, where $r$ is the inradius and $s$ is the semiperimeter of the triangle. We have $[ABC] = (10)(24)/2 = 120$ and $s = (10+24+26)/2 = 30$, so $r = [ABC]/s = 120/30 = 4$. Therefore, the area of the incircle is $4^2\pi = 16\pi$.
Finally, the area of the circumcircle is $169\pi - 16\pi = \boxed{153\pi}$ greater than the area of the incircle.
Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally distributed, with a mean of 5.0 millimeters (mm) and a standard deviation of 1.7 mm. For a randomly found shard, find the following probabilities.
a. the thickness is less than 3.0 mm
b. the thickness is more than 7.0 mm
c. the thickness is between 3.0 mm and 7.0 mm
Answer:
(a) The probability that the thickness is less than 3.0 mm is 0.119.
(b) The probability that the thickness is more than 7.0 mm is 0.119.
(c) The probability that the thickness is between 3.0 mm and 7.0 mm is 0.762.
Step-by-step explanation:
We are given that thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally distributed, with a mean of 5.0 millimeters (mm) and a standard deviation of 1.7 mm.
Let X = thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village.
So, X ~ Normal([tex]\mu=5.0,\sigma^{2} =1.7^{2}[/tex])
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean thickness = 5.0 mm
[tex]\sigma[/tex] = standard deviation = 1.7 mm
(a) The probability that the thickness is less than 3.0 mm is given by = P(X < 3.0 mm)
P(X < 3.0 mm) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{3.0-5.0}{1.7}[/tex] ) = P(Z < -1.18) = 1 - P(Z [tex]\leq[/tex] 1.18)
= 1 - 0.8810 = 0.119
The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.
(b) The probability that the thickness is more than 7.0 mm is given by = P(X > 7.0 mm)
P(X > 7.0 mm) = P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{7.0-5.0}{1.7}[/tex] ) = P(Z > 1.18) = 1 - P(Z [tex]\leq[/tex] 1.18)
= 1 - 0.8810 = 0.119
The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.
(c) The probability that the thickness is between 3.0 mm and 7.0 mm is given by = P(3.0 mm < X < 7.0 mm) = P(X < 7.0 mm) - P(X [tex]\leq[/tex] 3.0 mm)
P(X < 7.0 mm) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{7.0-5.0}{1.7}[/tex] ) = P(Z < 1.18) = 0.881
P(X [tex]\leq[/tex] 3.0 mm) = P( [tex]\frac{X-\mu}{\sigma}[/tex] [tex]\leq[/tex] [tex]\frac{3.0-5.0}{1.7}[/tex] ) = P(Z [tex]\leq[/tex] -1.18) = 1 - P(Z < 1.18)
= 1 - 0.8810 = 0.119
The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.
Therefore, P(3.0 mm < X < 7.0 mm) = 0.881 - 0.119 = 0.762.
Find the distance from the point (1, 4) to the line y = 1/3x – 3. A) 2(square root) 10 units B) 4 units C) 4(square root) 2 units D) 20 units
Answer:
Distance between line and point =
4√5 -3/2√10
Step-by-step explanation:
Distance between the line is
= √ ((9-0)²+(0+1)²)
= √ (89+1)
= √90
= 3√10
Half of the line = 3/2√10
Distance of one side of the line and the point.
= √((9-1)²+(0-4)²)
= √((8)²+(-4)²)
=√64+16
= √80
= 4√5
Distance between line and point =
4√5 -3/2√10
Answer: 2 square root 10 units
Step-by-step explanation: A
Two fair six-sided dice are rolled. What is the probability that the product of the two numbers is a composite number? Express your answer as a common fraction.
Answer:
The probability that the product of the two numbers is a composite number
[tex]P(E) = \frac{5}{6}[/tex]
Step-by-step explanation:
Step(i):-
Given data Two fair six-sided dice are rolled
S = { (1,1),(1,2),(1,3),(1,4),(1,5),(1,6) ,(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),((4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}
The number of exhaustive cases
n(S) =36
Composite number :-
A composite number has more than two factors
Example :-
Find composite numbers 1 to 10
{ 4, 6, 8.9,10}
Step(ii):-
Let 'E' be the event of getting the product of the two numbers is a composite number
= {(1,4),(1,5),(1,6),(2,2),(2,3),(2,4),(2,5),(2,6),(3,2),(3,3),(3,4),(3,5),(3,6),((4,1),(4,2),(4,3),(4,4),(4,5),(4,6)(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}
n(E) = 30
Conclusion:-
The probability that the product of the two numbers is a composite number
[tex]P(E) = \frac{n(E)}{n(S)} = \frac{30}{36} = \frac{5}{6}[/tex]
Answer:
29/36
Step-by-step explanation:
AoPs Answer
The image of ABC after a reflection across EG is ABC which statement is true about point F
Answer: First option.
Step-by-step explanation:
As the triangle is reflected over the line EG, this means that the distance between each common point of the triangles and the line must be the same for both triangles.
This means that the distance between B and E, is the same distance as the distance between B' and E.
Now, as you know, the midpoint of a segment is a point such that the distance between that point and each endpoint is the same.
So, in the linea AA', the points A and A' are the endpoints, and because F lies in the line of reflection, the distance between A and F is the same distance than in between A' and F.
So F is the midpoint in the line AA'
The correct option would be the first one, F is the midpoint of AA' because the line EG bisects AA', and F is colinear to E and G.
Which explains how to find the radius of a circle whose equation is in the form x2 + y2 = z?
Answer:
z would be your radius
Step-by-step explanation:
Equation: (x - h)² + (y - k)² = r²
Simply take √r² to find r, your radius.
Answer:
The radius is the square root of the constant term, z.
Step-by-step explanation:
option C on edgenuity 2020
hope this helps!
The distance between Rosa's house and her school is 3/4 mile. She ran 1/3 of the way to
school. How many miles did she run?
Answer:
She ran 1/4 of a mile
Step-by-step explanation:
Multiply 1/3 by the distance
1/3 * 3/4
Canceling the 3's
1/4
She ran 1/4 of a mile
Suppose babies born in a large hospital have a mean weight of 4090 grams, and a variance of 313,600. If 64 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would differ from the population mean by greater than 43 grams
Answer:
Step-by-step explanation:
mean weight of baby = 4090 gms
standard deviation = √ 313600
= 560
z value = deviation / standard deviation
= 43 / 560
= .0767
A student said that the y-intercept of the function y = 3 · 4x is 4. What is their mistake? What is the actual y-intercept?
Answer:
The y intercept is 0Step-by-step explanation:
the equation of a line is given as
[tex]y= mx+c[/tex]
where
m= is the slope
c= is the y intercept
their mistake is that they did not recall that if the "c" is not shown, it is assumed to be zero (0)
An opinion poll reported that 36% believe a certain governor broke campaign financing laws in his election campaign. How many people would you have to survey to be 99% confident that you can estimate to within 1% the fraction of people who believe the governor broke campaign financing laws? Round your answer to whole number.
Answer:
The number of people would have participate in opinion poll
n = 15,267
Step-by-step explanation:
Step(i):-
Given data an opinion poll reported that 36% believe a certain governor broke campaign financing laws in his election campaign.
Given proportion = 36% =0.36
Given the margin of error = 1% =0.01
Level of significance = 99% 0 r 0.01
Z₀.₀₁ = 2.576
step(ii):-
The margin of error of Population proportion is determined by
[tex]M.E = \frac{Z_{0.01} \sqrt{p(1-p)} }{\sqrt{n} }[/tex]
[tex]0.01 = \frac{2.576 \sqrt{0.36(1-0.36)} }{\sqrt{n} }[/tex]
[tex]\sqrt{n} = \frac{2.576 \sqrt{0.36(1-0.36)} }{0.01 }[/tex]
√n = 123.648
Squaring on both sides , we get
n = 15,267
final answer:-
The number of people would have participate in opinion poll
n = 15,267
find the value of ∛27
Answer:
3
Step-by-step explanation:
3^3 = 27
Find the volume of the cone.
Diameter: 20 m, Slant Height: 26 m
Round to the nearest whole number.
Volume
=
[?] m3
Answer:
2513the step-by-step explanation for height first :
[tex]h=\sqrt{h^{2} } +r^{2} =26[/tex]
[tex]h=\sqrt{h^{2} } +10^{2} =676[/tex]
[tex]h=\sqrt{h^{2} } + 100 = 676[/tex]
[tex]100-100 = 0[/tex]
[tex]676-100=576[/tex]
[tex]\sqrt{576}[/tex]
[tex]height =[/tex] 24 m
________________
step-by-step explanation for the problem :
FORMULA : [tex]v = \frac{1}{3}[/tex] · [tex]\pi[/tex] · [tex]r^{2}[/tex] · [tex]h[/tex]
v = [tex]\frac{1}{3}[/tex] · [tex]\pi[/tex] · [tex]10^{2}[/tex] · [tex]24[/tex] = [tex]800\pi[/tex] = [tex]2513.27412[/tex] = 2513
What is the domain of the following set of ordered pairs (-2,-5),(-3,8),(12,6),(8,3),(4,0),(-5,7)
Answer:
domain = {-5, -3, -2, 4, 8, 12}
Step-by-step explanation:
The domain is the set containing the x-coordinates of all ordered pairs.
domain = {-2, -3, 12, 8, 4, -5}
If you'd like, you can put the numbers in ascending order:
domain = {-5, -3, -2, 4, 8, 12}
Which describes how to calculate density? .mass divided by volume .volume divided by mass .mass added to volume .volume subtracted from mass added to volume volume subtracted from mass
Answer:
mass divided by volume
Step-by-step explanation:
The density can be calculated as the mass divided by volume. So, the correct option is A.
How to find the density?Density is like rate. It tells you how much of a thing is available for each unit other thing which contains the first thing.
Density = (Total amount available)/(total space which contains that amount)
Suppose that a finite amount of substance is there having its properties as:
The mass of substance = m kg
The density of substance = d kg/m³
The volume of that substance = v m³
Then, they are related as:
[tex]d = \dfrac{m}{v}[/tex]
Therefore, the density can be calculated as the mass divided by volume. So, the correct option is A.
Learn more about density here:
https://brainly.com/question/12630910
#SPJ6
if 25% or the person'so salary is $135.75 then what is the amount of his full salary?
Answer:
543
Step-by-step explanation:
let x= total salary
0.25x=135.75
x=543
Answer:
[tex]\$ \: 543.00[/tex]
Step-by-step explanation:
[tex]25\% \times x =135.75[/tex]
[tex]1/4 \times x =135.75[/tex]
[tex]0.25 \times x =135.75[/tex]
[tex]x=135.75 \times 4[/tex]
[tex]x=543[/tex]
