What is the distance between -10.2 and 5.7?
Answers
Answer:
15.9
Step-by-step explanation:
The distance between -10.2 and 5.7 is 15.9 after plotting the points on a number line.
What is a number line?It is defined as the representation of the numbers on a straight line that goes infinitely on both sides.
It is given that:
Two numbers on a number line:
-10.2 and 5.7
As we know, a number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
Indicating the above numbers on a number line:
= 5.7 -(-10.5)
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
= 5.7 + 10.5
= 15.9
Thus, the distance between -10.2 and 5.7 is 15.9 after plotting the points on a number line.
Learn more about the number line here:
brainly.com/question/13189025
#SPJ5
Related Questions
Which one is a better deal?
a 3 pack of notebooks for $4.50
Or a 12 pack of notebooks for $15.00
Answers
Need helppppppp please
Answers
Answer:
What do you need help with
Step-by-step explanation:
Suppose you invest a certain amount of money in account that earns 3% annual interest. You also invest that same amount + $2000 that earns 4% annual interest. If the total interest from both accounts at the end of the year is $535, how much has been invested in each account?
Answers
Second account: $8500
Set x is amount of money in first account
=> x + 2000 is money in second account.
X*3% + (x+2000)*4% = 535
=> x = (53500 - 8000) / 7
X = 45500 / 7 = 6500
=> account #1 = x = 6500
Acc #2 = x + 2000 = 6500 + 2000 = 8500
I need help solving this problem. Thanks
Answers
9514 1404 393
Answer:
y = -4/7x +58/7
Step-by-step explanation:
The slope of the given line segment is ...
m = (y2 -y1)/(x2 -x1)
m = (17 -3)/(1 -(-7)) = 14/8 = 7/4
Then the slope of the perpendicular line is ...
-1/m = -4/7 . . . . . slope of the perpendicular bisector.
__
The midpoint of the given line segment is ...
M = 1/2(x1 +x2, y1 +y2)
M = (1/2)(-7 +1, 3 +17) = 1/2(-6, 20) = (-3, 10)
__
The y-intercept of the bisector can be found from ...
b = y -mx
b = 10 -(-4/7)(-3) = 10 -12/7 = 58/7
Then the slope-intercept form equation for the perpendicular bisector is ...
y = mx +b
y = -4/7x +58/7
The house-numbers on a certain street go from 1 to 88. The function B(n) models the type of the building whose number is n according to the following key:
(GRAPH ATTATCHED)
What number type is more appropriate for the domain of B?
A. Integer
B. Real Number
What's the appropriate domain?
Answers
Hello,
Answer A
[tex]dom (B(n)) =\{0,1,2,3\} =\{ z\ in \ \mathbb{Z} \ |\ 0 \leq z \leq 4\}[/tex]
) dy 2x
------ = ---------------
dx yx2 + y
Answers
Step-by-step explanation:
[tex]\dfrac{dy}{dx} = \dfrac{2x}{y(x^2 + 1)}[/tex]
Rearranging the terms, we get
[tex]ydy = \dfrac{2xdx}{x^2 + 1}[/tex]
We then integrate the expression above to get
[tex]\displaystyle \int ydy = \int \dfrac{2xdx}{x^2 + 1}[/tex]
[tex]\displaystyle \frac{1}{2}y^2 = \ln |x^2 +1| + k[/tex]
or
[tex]y = \sqrt{2\ln |x^2 + 1|} + k[/tex]
where I is the constant of integration.
51
What is the inverse of the function f(x) = 2x + 1?
Oh(x) =
1
2x-
o h«x)= kx +
- 3x-2
Oh(x) =
Oh(x) =
Mark this and return
Save and Exit
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Submit
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81
O
10:49 AM
^ D 0x
mamman
Answers
Answer:
let inverse f(x) be m:
[tex]m = \frac{1}{2x + 1} \\ 2x + 1 = \frac{1}{m} \\ 2x = \frac{1 - m}{m} \\ x = \frac{1 - m}{2m} [/tex]
substitute x in place of m:
[tex]{ \bf{ {f}^{ - 1}(x) = \frac{1 - x}{2x } }}[/tex]
About 9% of the population has a particular genetic mutation. 900 people are randomly selected. Find the standard deviation for the number of people with the genetic mutation in such groups of 900.
Answers
Answer:
The standard deviation is of 8.586.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they have a genetic mutation, or they do not. The probability of a person having the mutation is independent of any other person, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
About 9% of the population has a particular genetic mutation.
This means that [tex]p = 0.09[/tex]
900 people are randomly selected.
This means that [tex]n = 900[/tex]
Find the standard deviation for the number of people with the genetic mutation in such groups of 900.
[tex]\sqrt{V(X)} = \sqrt{900*0.09*0.91} = 8.586[/tex]
The standard deviation is of 8.586.
a linear model is appropriate for the data in which scatterplot.?
Answers
Answer: (b) or 2
Step-by-step explanation: its the only one linear to the best possibility.
84 percent of students athletes attend a preseason meeting. If there are 175 students athletes how many attend the meeting
Answers
Answer:
Total no. of students =175
percent of students athletes who attend a preseason meeting =84
No. of students who attend the meeting
= 84% of 175
=147
Determine whether the point is on the graph of the equation 2x+7y=13
(-4,3)
Is (-4,3) on the graph of 2x+7y=13?
Yes or no?
Answers
Answer:
(I) yessssssssssssssssssssssss
Answer:
yes it is.
Step-by-step explanation:
i did this and it was correct
Plz help I’ll mark u
Answers
Answer:
SAS=side angle side
there is two side and one angle
Answer:
SAS theorem
explanation:
HELP
BELP
Identify the range of the function shown in the graph
Answers
Answer:
Range = -1 ≤ y ≤ 2
Step-by-step explanation:
The function's range is the y-values the function can have as its output. -1 is the minimum y-value and 2 is the maximum y-value.
Which of the following is a like radical to cube rt of 7x
Answers
Answer:
[tex]\sqrt[3]{7x}[/tex]
Step-by-step explanation:
Given
[tex]7x[/tex]
Required
The radical statement
Cube root is represented as:
[tex]\sqrt[3]{}[/tex]
Considering [tex]7x[/tex], the expression is:
[tex]\sqrt[3]{7x}[/tex]
The x-value(s) for which f(x)g(x) is/are ___
Answers
9514 1404 393
Answer:
x = -1, 1, 9
Step-by-step explanation:
You want x such that f(x) = g(x). Subtracting g(x) from both sides of this equation lets us rewrite it as ...
f(x) -g(x) = 0
x³ -9x² -(x -9) = 0
x²(x -9) -1(x -9) = 0 . . . factor the first pair of terms
(x² -1)(x -9) = 0 . . . . . . use the distributive property
(x -1)(x +1)(x -9) = 0 . . . . factor the difference of squares
Values of x that make these factors zero will make f(x) = g(x):
x = -1, 1, 9 for f(x) = g(x)
A farmer picks pumpkins from a large field. The farmer makes samples of 260 pumpkins and inspects them. If one in fifty pumpkins are not fit to market and will be saved for seeds, what is the standard deviation of the mean of the sampling distribution of sample proportions?
Answers
Answer:
[tex]\mu = 5.2[/tex]
[tex]\sigma = 2.257[/tex]
Step-by-step explanation:
Given
[tex]n = 260[/tex] -- samples
[tex]p = \frac{1}{50}[/tex] --- one in 50
Solving (a): The mean
This is calculated as:
[tex]\mu = np[/tex]
[tex]\mu = 260 * \frac{1}{50}[/tex]
[tex]\mu = 5.2[/tex]
Solving (b): The standard deviation
This is calculated as:
[tex]\sigma = \sqrt{\mu * (1-p)}[/tex]
[tex]\sigma = \sqrt{5.2 * (1-1/50)}[/tex]
[tex]\sigma = \sqrt{5.2 * 0.98}[/tex]
[tex]\sigma = \sqrt{5.096}[/tex]
[tex]\sigma = 2.257[/tex]
jenna is playing an online trivia game. she has 50 points and earns 2 points for each correct answer. she will advance to the next amount if her score is over 68 points. which inequality can jenna use to find how many more questions she must answer correctly to advance to the next round?
Answers
Answer:2x + 50 > 68
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
because is you skip count on two you will count on to 68 so that is why the answer is 7.
A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 3% margin of error at a 99% confidence level, what size of sample is needed
Answers
Answer:
1849
Step-by-step explanation:
Margin of error, E=0.03
Confidence level=0.99
z=2.58
No prior estimate of p is given, so consider p=0.5
Sample size required ,n=2.58^2*0.5*(1-0.5)/0.03^2
n=1849
XYZ ∆ where Angle Y =90° , XZ= 14 m , XY = 6 m . Find YZ ?
( Show all your workings )
Answers
[tex]4 \sqrt{10} [/tex]
Step-by-step explanation:
Use Pythagoras
A^2 + b^2 = c^2
(6)^2 + b^2 = (14)^2
36 + b^2 = 196
B^2 =160
[tex]b = \sqrt{160} [/tex]
[tex]b = 4 \sqrt{10} [/tex]
A circle has a circumference of 2cm. Which statement about the circumference and area is true?
A comparison of the area and circumference is not possible since the area cannot be determinec
The numerical values of the circumference and area of the circle are equal.
The numerical value of the circumference is greater than the numerical value of the area.
The numerical value of the circumference is less than the numerical value of the area.
ОО
Answers
Answer:
The numerical values of the circumference and area of the circle are equal.
Which definition best describes vertical angles?
A. A pair of angles that combine to form a straight angle
B. A pair of opposite angles formed by intersecting lines
C. A pair of angles whose sum is 90°
D. A pair of angles whose sum is 180°
SUBI
Answers
Answer:
B is the answer
Step-by-step explanation:
Vertical angles are pair angles formed when two lines intersect. Vertical angles are sometimes referred to as vertically opposite angles because the angles are opposite to each other
Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question. There are 15 questions on the test and the students have been given 55 minutes to complete it. A Table titled Test Time, showing Number of Questions, Time per Item in minutes, and Total Time in minutes. The first row shows Multiple Choice, with m, 3, and 3 m. The second row shows Free Response, with 15 minus m, 8, and x. The third row shows Total, with 15, blank, and 55. Which value could replace x in the table? Which value could replace x in the table?
Answers
Answer:
c
Step-by-step explanation:
Answer:
c is the correct answer
Plzzzz Help
The cost (in dollars) of buying x pounds of a party product is given by the function
C(x) = 10x + 300.
Suppose, for budgetary reasons; you can't spend more than $2100 on this product. You can spend less, but you have to buy at least 50 pounds.
In this situation, what is the domain of this function?
Answers
Answer:
180
Step-by-step explanation:
Given the cost (in dollars) of buying x pounds of a party product is given by the function
C(x) = 10x + 300.
Suppose, for budgetary reasons; you can't spend more than $2100 on this product. You can spend less, but you have to buy at least 50 pounds.
To get the domain of the function, substitute C(x) =2100 and find x
2100 = 10x + 300
10x = 2100 - 300
10x = 1800
x = 1800/10
x = 180
Hence the domain of the function is 180
Which best describes the function represented by the
table?
Х
-2
2
4
6
Y у
-5
5
10
15
O direct variation; k = 33 를
O direct variation; k = 5
- 를
O inverse variation; k = 10
direct variation; k = 1
10
Answers
Answer:
Direct variation
[tex]k = 2.5[/tex]
Step-by-step explanation:
Given
The attached table
Required
The type of variation
First, we check for direct variation using:
[tex]k = \frac{y}{x}[/tex]
Pick corresponding points on the table
[tex](x,y) = (-2,-5)[/tex]
So:
[tex]k = \frac{-5}{-2} = 2.5[/tex]
[tex](x,y) = (4,10)[/tex]
So:
[tex]k = \frac{10}{4} = 2.5[/tex]
[tex](x,y) = (6,15)[/tex]
So:
[tex]k = \frac{15}{6} = 2.5[/tex]
Hence, the table shows direct variation with [tex]k = 2.5[/tex]
Two trains leave stations 192 miles apart at the same time and travel toward each other. One train travels at 85 miles per hour while the other travels at 75
miles per hour. How long will it take for the two trains to meet?
Do not do any rounding.
11 hours
Answers
Answer:
32 miles per hour
Step-by-step explanation:
x+85+75=192 x+160=192 x=192-160 x=32..
Multiply the polynomials 3(x+7) (show work pls)
Answers
Answer:
3x + 21
Step-by-step explanation:
(3)(x+7)
Now, we distribute the 3 in each term of (x+7)
So, 3*x = 3x and 3*7 = 21.
So our resulting term would be 3x+21.
If x=3 y=5 h=9 wat is xy+h
Answers
Answer:
24
Step-by-step explanation:
3x5=15
15+9=24
Given the function, calculate the following values...
Answers
f(0) = 56
f(2) = 42
f(-2) = 70
f(x+1) = 7|x-7|
f(x²+2) = 7|x²-6|
Answered by GAUTHMATH
If an odd number is less than 15, then it is prime
Answers
Answer:
False
Step-by-step explanation:
To show that this is false, all we have to do is find one example.
9 is an odd number less than 15
9 is composite
9 =3*3
it's tooooo easy who wants brain list
Answers
Answer:
1) Isosceles
2) Acute
3) Right angled
4( Obtuse
5) Equilateral
2)Acute
3) right angled
4)obtuse
5)Equilateral
