Answer:
IQR = 9
Step-by-step explanation:
Q3 = 24
Q1 = 15
24-15=9
Give brainliest, please!
Hope this helps :)
What ratio is equivalent to the rate 40 miles / 1 hour
Answer:
40:1
Step-by-step explanation:
hope this helps:)
Describe the transformations necessary to transform the graph of f(x) into that of g(x).
Using translation concepts, it is found that the necessary transformations are given as follows:
Reflection over the y-axis. Horizontal stretch by a factor of 2.Shift left 3 units.Reflection over the x-axis.Shift down 1 unit.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The original function f(x) is given by:
[tex]f(x) = \sqrt{x}[/tex]
The transformations are as follows:
For the values of x, the function was multiplied by -1/2 and then 3 was added. Thus it was reflected over the y-axis, horizontally stretched by a factor of 2 and shifted left 3 units.Outside the domain, in the values of y, the function was multiplied by -1 and then subtracted by 1, hence it was reflected over the x-axis and shifted down one unit.More can be learned about translation concepts at https://brainly.com/question/4521517
#SPJ1
This figure shows three identical spherical billiard balls of diameter 6 cm inside an equilateral triangular frame.
Work out the perimeter of the frame, leaving your answer
in surd form.
Answer:
Perimeter = 18(1 + √3 ) cm
Step-by-step explanation:
The radius of each ball = 1/2 * 6 = 3 cm.
Lines drawn from the 2 points of contact for one billiard ball to the center of the ball are at right angles to the sides of the triangle ( Tangent/radius theorem).
If we now draw a line from the vertex of the big triangle to the center of the ball we get 2 right triangles, and they are 30-60-90 triangles.
If the adjacent side of a triangle ( which is part of the side of the big triangle) = x:
tan 30 = 3 / x
x = 3 / tan 30
= 3 / 1/√3
= 3√3 cm.
There are 6 of these sides in the big triangle so their total length =
18√3 cm.
The three 'middle' sides joining 2 billiard balls each have a length of 2 radii = 6 cms ( as they form a rectangle with the radii of 2 billiard balls).
So the perimeter of the triangle = 18√3 + 3(6)
= 18(1 + √3 ) cm
I would have liked to transfer a diagram but I can't get to copy it to this site.
Calculating Binomial Probabilities - Suppose you work for an airline and you are taking reservations for a flight on an aircraft that has 152 seats. You know, based on historical flights trends, that if you sell a single ticket there is a 91% chance that the person with the ticket will actually show up for the flight. You decide to try to make a little extra money by overbooking your flight and you sell 160 tickets hoping that not more than 152 people will actually show up for the flight (note: this is a common business practice! Click here to watch a video that explains why)
Explain how this scenario meets the four requirements in the definition of a Binomial Distribution.
Identify what n and p are in this example
Use technology (StatCrunch, Statdisk, or Excel) to calculate the probability that if you sell 160 tickets for your flight, more passengers will show up than there are seats available (again, the plane has 152 seats total). Post an image of your technology output using the Insert/Edit Image feature in Blackboard (no attachments!)
Based on this probability, do you think it is a wise business practice to oversell your flight in this manner? Explain.
The probability that if you sell 160 tickets for your flight, more passengers will show up than there are seats available is 0.02
How the scenario meet the requirements?The scenario meets the following requirements
The value of n is fixed i.e. 160The outcome has two possible values i.e. seats available or notThe chance that a person shows up is the same for each outcome i.e. p = 91%Each observation is independent.Identify n and pThe given parameters are:
n = 160
p = 0.91 i.e. 91%
x = 152
How to determine the probability?The distribution is a binomial distribution, and it is calculated using:
[tex]P(x) = ^nC_x * p^x * (1 - p)^{n -x}[/tex]
The probability is represented as:
P(x > 152) = P(153) + ..... P(160)
Using a technology tool, we have:
P(x ≤ 152) = 0.02
Conclusion on the calculationProbability values less than 0.25 are unlikely probabilities.
Because the probability value 0.02 is less than 0.25, then we can conclude that it is a wise business practice to oversell your flight in this manner.
Read more about probability at:
https://brainly.com/question/251701
#SPJ4
Shenika factored the polynomial completely. what is the value of a? 5x3 35x2 6x 42 (5x2 a)(x b) 1 5 6 7
Factorising the polynomial 5x³ + 35x² + 6x + 42, the value of A is 6.
Factorisation of polynomialFactorising a polynomial simply means to decompose the polynomial into a product of two or more polynomials.
Therefore, let's factorise 5x³ + 35x² + 6x + 42 and find the value of A
(5x² + A)(x + B)
Therefore,
5x³ + 35x² + 6x + 42
5x³ + 6x + 35x² + 42
x(5x² + 6) + 7(5x² + 6)
Therefore,
(5x² + 6)(x + 7)
Therefore, the value of A is 6
learn more on factorisation here; https://brainly.com/question/1415111
#SPJ4
help me solve please!!!!!!!!!
The probability of drawing a number card and then number card without replacement is 105/221 option first is correct.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
The total number of cards = 52
Total number of cards printed number on it = 36
The probability of drawing a number card and then number card without replacement:
[tex]= \rm \dfrac{36}{52}\times \dfrac{35}{51}[/tex]
= 1260/2652
= 105/221
Thus, the probability of drawing a number card and then number card without replacement is 105/221 option first is correct.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ1
Silvia was asked to find the Sin(D). her response was 12/15. the teacher said Silvia answer was incorrect what did she do wrong? how can she fix it?
Please help l don’t understand
Based on the graph given, the two points that need to be plotted are (9, 4) and (7, 3).
How should a graph on Age v. Hours of TV watched be plotted?The points that are already plotted on the graph represent the results of the hours of television watched by children.
For instance, children of 6 years watched 2 hours of television. For that reason, the point where 6 (x axis) and 2 (y axis) meet on the graph is marked with an x.
The last two points would therefore be (9, 4) and (7, 3) to show that 9 year olds watch 4 hours of television and 7 year olds watch 3 hours of television.
Find out more on constructing graphs at https://brainly.com/question/1660438?referrer=searchResults.
#SPJ1
Given g(x) =(x² +5)/3x find g(p + 4) Please answer with work
Answer:
g(p + 4) = [p² + 8p + 21 / 3p + 12]
Step-by-step explanation:
Function :
g(x) = (x² + 5) / 3x
Substitute x = p + 4 :
⇒ g(p + 4) = [(p + 4)² + 5] / 3(p + 4)
⇒ g(p + 4) = [p² + 8p + 16 + 5 / 3p + 12]
⇒ g(p + 4) = [p² + 8p + 21 / 3p + 12]
An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 33 feet up. The ladder makes an angle of 74 degrees with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary.
HOPE IT HELP (≧▽≦)(≧▽≦)(≧▽≦)
Answer:
Step-by-step explanation:
the answer is wrong its 34.3
For an A.P., a= 25, d = -3. Find the value of n if S=112
Answer:
n = 7.
Step-by-step explanation:
Sum S of an AP = (n/2)[2a + d(n - 1)]
112 = (n/2)[2*25 - 3(n -1)]
n/2 (53 - 3n) = 112
n(53 - 3n) = 224
-3n^2 + 53n - 224 = 0
3n^2 - 53n + 224 = 0
(3n - 32 )(n - 7 ) = 0
n = 7, 32/3
So n must be 7 as its a whole number.
Express x^2-5x+8 in the form (x-a)^2+b where a and b are integers
Answer:
[tex]f(x)=(x-\frac{5}{2})^2+\frac{7}{4}[/tex]
Step-by-step explanation:
Complete the square
[tex]f(x)=x^2-5x+8\\\\f(x)-1.75=x^2-5x+8-1.75\\\\f(x)-1.75=x^2-5x+6.25\\\\f(x)-1.75=(x-2.5)^2\\\\f(x)=(x-2.5)^2+1.75\\\\f(x)=(x-\frac{5}{2})^2+\frac{7}{4}[/tex]
Can you help me with this
Answer:
Step-by-step explanation:
3x + 8 = 4x + 4
-x + 8 = 4
x = 4
answer is A
Need help please answer ASAP!
Answer:
39. (4) 4 1/16
Step-by-step explanation:
Simplifying
f(x) = 4x⁰ + (4x)⁻¹Any term to the power is equal to 1f(x) = 4(1) + 1/4xSubstituting x = 4
f(4) = 4 + 1/4(4)f(4) = 4 + 1/16f(4) = 4 1/16(4) 4 1/16which of the following numbers ae divisible by 3?
a. 534
b.2176
c.59742
d.45846
which of the following numbers are divisible by 4?
a.9698
b.98746
c.5620
d.56208
Answer:
1. A
2. C
Step-by-step explanation:
1. A
2. C
PLEASE HELP ANSWERING THE QUESTIONS ILL GIVE BRAINLIEST OR WHATEVER
Answer:answer to 9:$1,025.00 answer to 10:$243.90 answer to 11:$1,025.15
Step-by-step explanation:
explanation to 9:First, converting R percent to r a decimal
r = R/100 = 7%/100 = 0.07 per year.
Solving our equation:
A = 500(1 + (0.07 × 15)) = 1025
A = $1,025.00
The total amount accrued, principal plus interest, from simple interest on a principal of $500.00 at a rate of 7% per year for 15 years is $1,025.00.explanation to 10:First, converting R percent to r a decimal
r = R/100 = 7%/100 = 0.07 per year.
Solving our equation:
P = 500 / ( 1 + (0.07 × 15)) = 243.90243902439
P = $243.90
The principal investment required to get a total amount, principal plus interest, of $500.00 from simple interest at a rate of 7% per year for 15 years is $243.90. explantion to 11:First, converting R percent to r a decimal
r = R/100 = 7%/100 = 0.07 per year.
Solving our equation:
A = 500(1 + (0.07 × 15)) = 1025
A = $1,025.00
The total amount accrued, principal plus interest, from simple interest on a principal of $500.00 at a rate of 7% per year for 15 years is $1,025.25.
- Which expression is equivalent to
2√48-(2+√12) (5-√12)?
0-EIS
A. 2√3+2
B. 2√3-2
34
C. 4√3+17
p. 4√3-17
Swoled
4.
Answer:
A.
Step-by-step explanation:
2×sqrt(48) - (2 + sqrt(12))(5 - sqrt(12))
2×sqrt(16×3) - (2 + sqrt(4×3))(5 - sqrt(4×3))
2×4×sqrt(3) - (2 + 2×sqrt(3))(5 - 2×sqrt(3))
8×sqrt(3) - (10 - 4×sqrt(3) + 10×sqrt(3) - 4×3)
8×sqrt(3) - 10 - 6×sqrt(3) + 12
2×sqrt(3) + 2
Graph (x - 2)2 + (y - 1)2 = 9 - Double tap to add text
Answer:
Step-by-step explanation:
(x−2)2+(y−1)2=9
This is the form of a circle. Use this form to determine the center and radius of the circle.
(x−h)2+(y−k)2=r2
Match the values in this circle to those of the standard form. The variable r
represents the radius of the circle, h represents the x-offset from the origin, and k
represents the y-offset from origin.
r=3
h=2
k=1
The center of the circle is found at (h,k)
.
Center: (2,1)
These values represent the important values for graphing and analyzing a circle.
Center: (2,1)
Radius: 3
Please help me,Please I have a class in 2 hours Please help me
To find the perimeter of a shape you add all the side lengths together.
Perimeter of A is 20cm because 7+7+3+3=20
Perimeter of B is 27cm because 9+8+10=27
Perimeter of C is 17cm because 6+6+5=17
Perimeter of D is 34cm because 10+10+4+4+3+3=34
On shape E there is one side length that we do not know. To find that do 8-3=5 because 5+3 would be the opposite side of the 8. Now do 5+8+8+4+12+3=40 cm which is the perimeter of shape E.
I hope this helps you have a good day
Whats the answer to this
Find n 2\8 = 14n n=?????
Answer:
n = ±0.13363
Step-by-step explanation:
2/8 - (14*n*(n))=0 • Use this formula for proof
2/8 = 1/4 A^2 - AB + BA - B^2 =
1/4 - 14n^2 = 0 A^2 - AB + AB - B^2 =
14n^2 = 14n^2 ÷ 1 = 14n^2 • 4 ÷ 4 A^2 - B^2
1 - (14n^2 • 4) ÷ 4 = 1 - 56n^2 ÷ 4
1 - 56n^2 ÷ 4 = 0
1-56n2 ÷ 4 • 4 = 0 • 4
1-56n^2 = 0
56n^2 = 1
n^2 = 1/56 = 0.018
n ≈ ±0.13363
2(x + 3) = x - 4 solve
Answer:
x=-10
Step-by-step explanation:
2(x+3)=x-4
2x+6=x-4
-2x -2x
6=-x-4
+4 +4
10=-x
-1 -1
-10=x
[tex] \Large{\boxed{\sf x = 10}} [/tex]
[tex] \\ [/tex]
Explanation:Given equation:
[tex] \sf 2(x + 3) = x - 4 [/tex]
[tex] \\ [/tex]
Expand the left side using the following distributive property:
A(B + C) = AB + AC
[tex] \\ [/tex]
Here, A = 2, B = x, and C = 3.
We get:
[tex] \sf 2(x) + 2(3) = x - 4 \\ \\ \sf 2x + 6 = x - 4 [/tex]
[tex] \\ [/tex]
Now, subtract 6 from both sides:
[tex] \sf 2x + 6 - 6 = x - 4 - 6 \\ \\ \sf 2x = x - 10 [/tex]
[tex] \\ [/tex]
Subtract x from both sides :
[tex] \sf 2x - x = x - 10 - x \\ \\ \\ \boxed{\boxed{\sf x = -10}} [/tex]
[tex] \\ \\ [/tex]
▪️Learn more about first-degree equations here:
↣https://brainly.com/question/19225782
Solve for d.
3(d + 2) = 12
d =
Answer:
d = 2
Step-by-step explanation:
3(d + 2) = 12 ( divide both sides by 3 )
d + 2 = 4 ( subtract 2 from both sides )
d = 2
Answer:
d=2
Step-by-step explanation:
3(d+2)=12
divide both side by 3
d+2 =4
substract 2 from both side
d=2
Mr smith has 28 children if he wants 2 give 2 sweets to his class how many sweets
Answer:
56
Step-by-step explanation:
If each child gets 2 sweets then we have to multiply the number of children by 2.
[tex]28 \times 2 = 56[/tex]
Answer:
30 sweets.
Add 28 and 2.
Given the function g(x) = x2 + 10x + 20, determine the average rate of change of
the function over the interval -9 < x < 0.
A function assigns the values. The average rate of change for the given function g(x) is 1.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The average rate of change of a function is given by the formula,
Average rate of change, = [f(b)-f(a)]/(b-a), [a,b]
Where a is the lower limit and b is the upper limit.
Given the upper limit for the function is 0, therefore, the value of a is 0, similarly, the value of b is -9. Thus,
a = 0
g(a) = 0²+10(0)+20 = 20
b = -9
g(b) = (-9)²+10(-9)+20 = 11
The average rate of change for the function g(x), can be written as,
[tex]\text{Average rate of change}= \dfrac{g(-9)-g(0)}{-9-0}=\dfrac{11-20}{-9} = 1[/tex]
Hence, the average rate of change for the given function g(x) is 1.
Learn more about Function:
https://brainly.com/question/5245372
#SPJ1
María y Sara se preparan para una competencia de atletismo. María recorre tres octavas partes de la distancia total de la competencia y Sara las dos quintas partes.
¿Qué fracción representa el total de la distancia recorrida por las dos atletas?
A.
140
B.
640
C.
2440
D.
3140
Answer:
D. 31/40
Step-by-step explanation:
3/8 + 2/5 =
15/40 + 16/40 =
31/40
Mr. and Mrs. Nozaki are moving from Riverside to Prarieton. The distance from their old house to their new house is 1003 miles. If their car gets 23.6 miles per gallon, how many gallons of gas will they need for the trip?
The total amount of the fuel needed for the trip is 42.5 gallons if the distance from their old house to their new house is 1003 miles.
What is distance?Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
We have total distance between from their old house to their new house:
d = 1003 miles
The car travel 23.6 miles per gallon
So the total amount of the fuel needed = 1003/23.6 = 42.5 gallons
42.5 gallons fuel will be required to travel 1003 miles
For the return trip (considering 23.6 miles per gallon) the same amount of fuel will be needed.
So the total fuel needed including roundtrip = 42.5×2 = 85 gallons
Thus, the total amount of the fuel needed for the trip is 42.5 gallons if the distance from their old house to their new house is 1003 miles.
Learn more about the distance here:
brainly.com/question/26711747
#SPJ1
A segment with endpoints at the center and on the circle.
Answer:
The set of points equidistant from a given point (the center). Radius : A segment with endpoints at the center and on the circle.
Step-by-step explanation:
3. Which of the following is an exponential function?
O f(x)= 2/x
O f(x)= 5x-6
O f(x) = 3^x
O f(x) = 3x^3
Answer:
B is correct I hope this helps.
Find the vertex of this parabola. y = -2x2 4x 12 a. (-4, 12) b. (-2, 6) c. (3, 6) d. (1, 14)
We will see that the vertex of the quadratic equation is at (1, 14)
How to find the vertex of a quadratic function?For a general quadratic:
[tex]y = a*x^2 + b*x + c[/tex]
The x-component of the vertex is at:
[tex]x = -b/2a[/tex]
In this case, we have:
[tex]y = -2x^2 + 4x + 12[/tex]
Then the vertex is at:
[tex]x = -4/(2*-2) = 1[/tex]
To get the y-component of the vertex, we need to evaluate in x = 1.
[tex]y = -2*1^2 + 4*1 + 12 = -2 + 4 + 12 = 14[/tex]
Then we conclude that the vertex is at (1, 14), so the correct option is d.
If you want to learn more about quadratic equations:
https://brainly.com/question/1214333
#SPJ4
In the shape below, find the value of d, rounded to one decimal place.
Answer: 128.7
Step-by-step explanation:
