Answer:
the use of a series of numbers with a unique origin indicated by the number zero.
Step-by-step explanation:
In Science, mapping experiment refers to an investigation which typically involves the process of manipulating an independent variable (the cause) in order to be able to determine or measure the dependent variable (the effect).
This ultimately implies that, an experiment can be used by scientists to show or demonstrate how a condition causes or gives rise to another i.e cause and effect, influence, behavior, etc in a sample.
Origin, one of the four characteristics of mapping rules, refers to the use of a series of numbers with a unique origin indicated by the number zero.
In Mathematics, the origin is generally chosen to start from zero on a graph that gives the relationship between two variables.
19) An airplane has 150 passengers. 48% of the passengers are traveling alone.
How many passengers are traveling alone?
Answer:
72 passengers
Step-by-step explanation:
What we know:
There are 150 passengers in total48% of the passengers are travelling aloneTo find how many passengers are travelling alone, multiply 150 by 48%.
48% ⇒ 0.48 as a decimal
150 × 0.48 = 72
Therefore, 72 passengers are travelling alone.
I hope this helps!
Answer:
72
Step-by-step explanation:
3(2x - 4)-5(x+3)?
Which expression is the simplest form of
3
O A.
112-27
3
2+3
B.
3
C.
2-27
3
D. X - 9
The simplest form of the equation [tex]\frac{3(2x-4)-5(x+3)}{3}[/tex] is [tex]\frac{x-27}{3}[/tex].
What is simplification?To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.
The expression is given as
= [tex]\frac{3(2x-4)-5(x+3)}{3}[/tex]
= [tex]\frac{6x-12-5x-15}{3}[/tex]
= [tex]\frac{x-27}{3}[/tex]
Therefore,the simplest from the given equation is [tex]\frac{x-27}{3}[/tex].
To know more about the problem-solving strategies, here
https://brainly.com/question/23945932
#SPJ2
A package delivery company experiences high variability in daily customer demand, which in turn results in high variability in the daily workload at the central sorting facility. The company relies on its sorting facility employees working overtime to provide on-time delivery when the workload demand is very high. A sorting facility employee receives a salary of $12/hour for a 40 hour week, and the employee receives $18/hour for every hour worked overtime, that is, for every hour worked over 40 hours in a given week. The number of overtime hours that an employee works in any given week is a random variable, with a mean of 15 hours and a standard deviation of 4 hours.
Required:
What are the mean, the standard deviation, and the variance of an employee's total weekly salary?
Solution :
Let :
X = number of overtime hours
S = total weekly salary
S = [tex]$12 \times 40 + 18 \times X$[/tex]
S = 480 + 18X
E(S) = [tex]$480 + 18 \times E(X)$[/tex]
[tex]$E(S) = 480 + 18 \times 15$[/tex]
= 750
Mean of S = 750
Var (S) = [tex]$18^2 \times Var(X)$[/tex]
Var(S) = [tex]$18^2 \times 4^2$[/tex]
= 5184
Variance of S = 5184
The standard deviation equals square root of 5184 = 72
In ΔDEF, the measure of ∠F=90°, the measure of ∠D=69°, and FD = 64 feet. Find the length of DE to the nearest tenth of a foot.
Answer:
Step-by-step explanation:
A rectangular room is 1.6 times as long as it is wide, and its perimeter is 34 meters. Find the dimensions of the room.
Answer:
Step-by-step explanation:
x=1.6w and 2w+2x=34.
Simply substitute for x in the perimeter equation, and solve for w. Now compute x.
A game has 28 white balls and 12 red balls in a bag, and you will randomly select one ball from the bag. If
the selected ball is white, you lose $5. And, if the ball is red, you win $10. What is the expected value of
the game?
Answer:
There are 40 balls in the bag. The probability of selecting a white ball is 28/40, simplified to 7/10. The probability of selecting a red ball is 12/40, simplified to 3/10. You are more likely to get a white ball so you will most likely lose $5.
Step-by-step explanation:
Which equation has a solution of 4? Select all that apply. A 12x = 3 C10 + x = 14 B 6x = 24 DX-4 = 8
Answer:
C and B
Step-by-step explanation:
A. 12x = 3, x =1/4
C. 10 + x = 14, x = 4
B. 6x = 24, x =4
D. x -4 = 8, x =12
Only the expression mentioned in B and C gives the solution as 4. Options B and C are correct.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
A
12x = 3
Simplifying the above expression,
12x = 3
x = 3 / 12
x = 1 / 4
Similarly simplifying all the expressions gives,
B. x = 4
C. x = 4
D. x = 12
Thus, only the expression mentioned in B and C gives the solution as 4. Options B and C are correct.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
Given the system:
4x + 3y = -1
5x + 4y = 1
What is the solution to this system?
A. (-7,9)
B. (9,-7)
C. (-1,1)
D. (1,-1)
Answer:
A is the answer
Step-by-step explanation:
hope that helped
i'll give brainliest please help
Answer:
The answer is ≈9.7474532 cm.
P.S. it took me a long time to figure this out I would appreciate if you put brainliest.
Please help me I will get you a thanks :-)
Answer:
A=32.5
Step-by-step explanation:
A=(4+9)*5/2
A=13*5/2
A=65/2
A=32.5
solve (x- 4.5)/2=5.5 for x
please help asap
Answer:
x=31/2
Step-by-step explanation:
don't have steps but its right.
Answer:
x = 31/2 = 15 1/2 = 15.5
Step-by-step explanation:
(x- 4.5)/2=5.5
Multiply both sides by 2.
x−4.5=5.5×2
Multiply 5.5 and 2 to get 11.
x−4.5=11
Add 4.5 to both sides.
x=11+4.5
Add 11 and 4.5 to get 15.5.
x=15.5
2, 4, 6, 7, 6, 6, 6,3 What is the Mean? What is the Median? What is the Mode? What is the Range?
Answer:
Mean: 5
Median: 6
Mode: 6
Range: 5
hope that helps
Step-by-step explanation:
Mean = 5
Median = 6
Mode = 6
Range = largest no.- smallest no.
= 7-2 = 5
find the mad: 250, 249, 251, 253, and 253
Its 250 for sure i have not done mads for a while now.
So maybe double check me with someone else
Answer:
It's 1.44
Step-by-step explanation:
Testing:
H0:μ=54.5
H1:μ<54.5
Your sample consists of 48 subjects, with a mean of 54.1 and standard deviation of 1.8.
Calculate the test statistic, rounded to 2 decimal places.
t=
Answer:
t = -1.54.
Step-by-step explanation:
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
H0:μ=54.5
This means that [tex]\mu = 54.5[/tex]
Your sample consists of 48 subjects, with a mean of 54.1 and standard deviation of 1.8.
This means, respectively, that [tex]n = 48, \mu = 54.1, \sigma = 1.8[/tex]
Test statistic
[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]t = \frac{54.1 - 54.5}{\frac{1.8}{\sqrt{48}}}[/tex]
[tex]t = -1.54[/tex]
The test statistic is t = -1.54.
A roller coaster is being designed that starts at (0,22) and ends at (19,2),
Along the ride there is a relative minimum at (5,6) and a relative
maximum at (10,18). The roller coaster is almost finished but one
section is missing. Find the correct function that completes the roller
coaster so that the ride is smooth and continuous.
Answer:
The function is, f(x) = 6·sin((π/5)(x + 3π/2)) + 12
Step-by-step explanation:
The general form of equation of a roller coaster is given as follows;
y = A·sin(B(x - C)) + D
Where;
A = The amplitude = (18 - 6)/2 = 6
D = The vertical shift = 12
One revolution = 10 unit
∴2·π = 10 unit
Therefore, 10 = 2·π/B
B = 2·π/10
The phase shift = 3·π/2
Therefore, we have the function as follows;
f(x) = 6·sin(2·π/10(x + 3π/2)) + 12 = 6·sin((π/5)(x + 3π/2)) + 12
The angles of a triangle are (x - 5), (x + 15)°
and (2x + 10). Given that the sum of the
angles of a triangle is 180°, calculate the size
of each angle.
Answer:
35°, 55°, 90°
Step-by-step explanation:
Since all the angles of a triangle equal 180, add them all together and set them equal to 180.
(x-5)+(x+15)+(2x+10)=180
Now solve for each angle.
(40-5)
=35°
(40+15)
=55°
(2(40)+10)
=90°
Now check your work.
35°+55°+90°
=180°
find the ratio 3600sec is to 2hours
Answer:
30:1
Step-by-step explanation:
I need help please asap
Answer:
Part B
How does this change in setting affect Miguel? Choose two answers.
A.
Miguel asks his mom if he can transfer to a different middle school.
B.
Miguel becomes a more focused student.
C.
Miguel begins to struggle in his Language Arts class as well.
D.
Miguel makes a new friend.
Step-by-step explanation:
Using L Hospital's rule, evaluate :
lim
x →0(x² – Sin²x)/x^2
Answer:
0
Step-by-step explanation:
L Hospital's rule states that as long as u have the form
of infinity / infinity or 0/0 in general you can take its derivative to find the limit.
In this case as X tends to 0, the numerator tends to 0
Denominator will also tends to 0.
We have the 0 / 0 form, which means we can take the derivative for its numerator and denominator which gives
(2x - 2SinxCosx) / 2x | lim x -> 0
= (2x - Sin2x) / 2x | lim x -> 0
Based on this equation, as x tends to 0
both numerator and denominator tends to 0.
So we take its second derivative,
(2 - 2Cos2x) / 2
Now as x -> 0,
we will get (2 - 2)/2 = 0
Five less than 10 times a number is -13.
Answer:
10 x X - 5 = -13
Answer:
Step-by-step explanation:
10x-5= -13
10x= -13+5
10x= -8
x= 10/-8
x= -1.25 or 5/-4
Find the missing information for both parts below.
(a) In the figure below, m VW = 52° and m XY = 42º. Find m ZXZY.
V
m ZXZY =
Z
Answer:
86
Step-by-step explanation:
Answer: 86
Step-by-step explanation:
15a > 75. Substitute 5 for a. PLEASE HELP
Answer:
its equal
Step-by-step explanation:
15 times 5 (a) is 75 soooo 75 is equal to 75 maybe
A fair cube has 2 blue sides, 2 red sides, and 2 green sides.
What is the probability of rolling a blue or red side?
A family is trying to pick from different shades of paint for their living room. They have narrowed it down to 3 different blues and 6 different greens.
The family decides to just randomly select a color from these.
What is the probability they will pick a shade of blue?
Enter your answer to the nearest percent in the box.
For ratios, the numerator usually indicates how much of a specific option you have, and the denomenator is often times the total of the set.
In this case, you have a total of 9 shades, if you add the greens and blues together. Three of them, are blue.
Hopefully this helps!
Answer: yes
Step-by-step explanation:
i had this quesion too and i got it correct
Please help me with this
Answer:
Y= -5/3x -1
Step-by-step explanation:
The first term of an arithmetic sequence is -5, and the tenth term is 13.
Find the common difference.
2
1.8
8/9
Answer:
Step-by-step explanation:
Let d be the common difference.
a₁₀ = a₁ + (10-1)d
13 = -5 + 9d
d = 2
A baker is experimenting with a new brand of yeast. He bakes his first batch of bread using the old brand of yeast that he usually uses and a second batch using the new brand of yeast. After baking both batches of bread, he compares the height, texture, and taste of each batch.
Answer:
control group: second batch
explanatory variable: new brand of yeast
response variable: height, texture, and taste
Step-by-step explanation:
Answer:
Explanatory variable = new brand of yeast
Response variable = height, texture, and taste
Control group = first batch
**See screenshot of graded answer
Nathan inherited $100,000 from a wealthy uncle and invested the money in an account that earns 4% interest compounded annually.
How much interest will this money earn if Nathan leaves it in the account for 10 years?
PLEASE ITS URGENT I NEED HELP ..
PLEEEAASEEE !!!
I BEG YOU GUYS ...
Thanks for the help...
i actually put the answer AT RANDOM so pay no attention to it
Answer:
the answer is 3 x 10^6
Step-by-step explanation:
What is the solution to the following equation? X +(-13) = -5. A. X= 18 B. X = 8 C. x -18 D. X = -8
x + (-13) = -5
x - 13 = -5
x = -5 + 13
x = 8