Answer:
-5/24
Step-by-step explanation:
make the denominators the same!
The ages of rocks in an isolated area are known to be approximately normally distributed with a mean of 7 years and a standard deviation of 1.8 years. What percent of rocks are between 5.8 and 7.3 years old?
Answer: 31.39%
Step-by-step explanation:
Given: The ages of rocks in an isolated area are known to be approximately normally distributed with a mean of 7 years and a standard deviation of 1.8 years.
i.e. [tex]\mu = 7 \ \ \ \ \sigma= 1.8[/tex]
Let X be the age of rocks in an isolated area .
Then, the probability that rocks are between 5.8 and 7.3 years old :
[tex]P(5.8<X<7.3)=P(\dfrac{5.8-7}{1.8}<\dfrac{X-\mu}{\sigma}<\dfrac{7.3-7}{1.8})\\\\=P(-0.667<Z<0.167)\ \ \ [z=\dfrac{X-\mu}{\sigma}]\\\\=P(Z<0.167)-P(z<-0.667)\\\\=P(Z<0.167)-(1-P(z<0.667))\\\\=0.5663-(1-0.7476)\\\\=0.3139[/tex]
[tex]=31.39\%[/tex]
Hence, the percent of rocks are between 5.8 and 7.3 years old = 31.39%
If =x/y=5/8
then x/5=
[tex]\dfrac{x}{y}=\dfrac{5}{8}\Big|\cdot\dfrac{y}{5}\\\\\dfrac{x}{5}=\dfrac{y}{8}[/tex]
Answer:
x/5 = y/8
Step-by-step explanation:
x 5
----- = -------
y 8
Using cross products
8x = 5y
Divide each side by 8
x = 5/8 y
Divide each side by 5
x/5 = y/8
What is 51⁄6 as an improper fraction? For Seneca Learning:
Answer:
Step-by-step explanation:
[tex]5\frac{1}{6}=\frac{(5*6)+1}{6}=\frac{31}{6}[/tex]
Answer:
31/6 (improper fraction).
Step-by-step explanation:
5 1/6 = (6 × 5) + 1/6 = 31/6
31/6 is the improper fraction.
HELP ASAP YOU WILL GET BRAINLEIST AND I WILL THANK AND RATE 5 IF RIGHT
Three people are standing on a Cartesian coordinate plane. Robert is standing at point $(4,3)$, Lucy at point $(6,1)$, and Liz at point $(1,7)$. How m. any units away is the farther person from Robert? 3 minutes ago Let f and g be inverse functions. Find f(g(8)).
Answer: Liz is further away. Her distance from Robert is 5 units.
=================================================
Work Shown:
R = Robert's location = (4,3)
L = Lucy's location = (6,1)
Z = Liz's location = (1,7)
We need to find the lengths of segments RL and RZ to find out which person (Lucy or Liz) is further from Robert.
Use the distance formula to find the length of each segment. Let's start with the distance from R to L
[tex]d = \sqrt{(x_1+x_2)^2+(y_1+y_2)^2}\\\\d = \sqrt{(4-6)^2+(3-1)^2}\\\\d = \sqrt{8}\\\\d \approx 2.828427\\\\[/tex]
The distance from Robert to Lucy is approximately 2.828427 units.
--------------
Now find the distance from R to Z
[tex]d = \sqrt{(x_1+x_2)^2+(y_1+y_2)^2}\\\\d = \sqrt{(4-1)^2+(3-7)^2}\\\\d = \sqrt{25}\\\\d = 5\\\\[/tex]
The distance from Robert to Liz is exactly 5 units. We see that Liz is further away from Robert, compared to Lucy's distance from him.
If the geometric mean of a and 15 is 9√15, find the value of a.
What number must be added to the expression for it to equal zero? (–6.89 + 14.52) + (–14.52)
Answer:
The number to be added is 6.89
Step-by-step explanation:
Here, we want to know what number must be added to the expression to make it equal to zero.
Let the number be x
Thus;
-6.89 + 14.52 -14.52 + x = 0
-6.89 + x = 0
x = 6.89
HELP PLEASE ASAP I REALLY DONT KNOW HOW TO DO THIS
What is the slope of a line perpendicular to the line containing the points $(-1,2)$ and $(1,-2)$? Express your answer as a common fraction. Enter your answer
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Calculate the slope of the line m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (1, - 2)
m = [tex]\frac{-2-2}{1+1}[/tex] = [tex]\frac{-4}{2}[/tex] = - 2
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]
Use the diagram below to answer the questions. Line q contains points J, K, and M. Point P is above line q between points K and M. A line connects points M and P. Another line connects points P and K. Point L is above point J. A line starts at point K and extends through point L. Which are shown on the diagram? Check all that apply. Line segment J L Ray K M Line J K Ray P K AngleLJK Ray M J
Answer:
2nd 3rd last one
Step-by-step explanation:
Angles, lines, rays, and segments can be found in a plane. The terms shown on the diagram are: Ray KM, Line JK, and Ray MJ
What are lines, rays, and segments?A line is an unending, straight path that has no endpoints and travels in both directions along a plane. A line segment is a finitely long portion of a line with two endpoints. A line segment that goes on forever in one direction is known as a ray.
To identify the terms shown on the diagram, we need to note the following: A ray has no endpoint; it is represented with an arrow on one side line segment has two endpoints.
It is represented with dots on both sides. An angle is a space between intersecting lines, line segments, or rays. There is no connection between J and L. So, JL is not a line segment
Ray KM
KM has a dot at point K and an arrow that points in the direction of M. So, KM is a ray.
Line JK
JK has dots on both ends (at J and K). So, JK is a line.
Ray PK
PK has dots on both sides (at P and K). So, PK is a line; not a ray.
Angle LJK
There is no connection between points L, J, and K. Hence, LJK is not an angle.
Ray MJ
MJ has a dot at point M and an arrow that points in the direction of J. So, MJ is a ray.
The diagram is attached with the answer below.
Read more about lines, points, and rays at:
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- 3 1/2 ( - 12 1/4 )
Please answer this question now
Answer:
54
Step-by-step explanation:
To solve problems like this, always recall the "Two-Tangent theorem", which states that two tangents of a circle are congruent if they meet at an external point outside the circle.
The perimeter of the given triangle = IK + KM + MI
IK = IJ + JK = 13
KM = KL + LM = ?
MI = MN + NI ?
Let's find the length of each tangents.
NI = IJ = 5 (tangents from external point I)
JK = IK - IJ = 13 - 5 = 8
JK = KL = 8 (Tangents from external point K)
LM = MN = 14 (Tangents from external point M)
Thus,
IK = IJ + JK = 5 + 8 = 13
KM = KL + LM = 8 + 14 = 22
MI = MN + NI = 14 + 5 = 19
Perimeter = IK + KM + MI = 13 + 22 + 19 = 54
Determine the quadrant(s) in which (x, y) could be located. (Select all that apply.) x > 0 and y < 0 Quadrant I Quadrant II Quadrant III Quadrant IV none of these
Answer:
Quadrant IV
Step-by-step explanation:
If x is greater than 0, then it will remain on the right side, on quadrants I and IV. If y is less than 0, then it will be on the bottom, so we are left with quadrant IV:
x is greater than 0, so all possible values are positive
y is less than 0, so all possible values are negative
(x,-y)
Following are the description of the wrong choice:
In the first Quadrant, (x,y) both -axis values are positive that's why it is wrong.In the second Quadrant, the x-axis has a negative value and the y-axis has a positive value that's why it's wrong.In the third Quadrant, (x,y) both -axis has the negative value that's why it is wrong.That's why the "Quadrant IV" is the correct answer.
Learn more:
quadrant: brainly.com/question/7196054-(-9d + 2.7f + 3.5)
Distributing the “-“ sign
Answer:
9d + -2.7f + -3.5
Step-by-step explanation:
The distributive property simply is a form of multiplication that allows the sum of two or more numbers with common multiples to be rewritten.
In the case of this expression, our common multiple is the negative sign which implies an understood -1.
So you can write the expression as such:
(-1) (-9d + 2.7f + 3.5)
So to distribute the -1 to each term, we will simply write the expression:
(-1)(-9d) + (-1)(2.7f) + (-1)(3.5)
Which will give us the distributed expression:
9d + -2.7f + -3.5
Cheers.
which of the following are remote interior angles of <6? check all that apply
Answer:
C. <3, E. <1
Step-by-step explanation:
A triangle has 3 vertices, so it has exactly 3 interior angles, one at each vertex.
A triangle has 2 exterior angles at each vertex, so a triangle has 6 exterior angles. Each exterior angle is adjacent to an interior angle. The interior angles that are not adjacent to an exterior angle are that exterior angle's remote interior angles.
<6 is an exterior angle of the triangle. <5 is the other exterior angle at that vertex. <2 is an interior angle of the triangle and is adjacent to <6, so <2 is not a remote interior angle to <6.
The other two interior angles of the triangle are <1 and <3.
<1 and <3 are interior angles that are not adjacent to <6, so they are the remote interior angles to <6.
Answer: <1, <3
Consider the function represented by 9x + 3y = 12 with x as the independent variable. How can this function be
written using function notation?
O FID = - Šv
O f(x) = - 3x + 4
Of(x) = -x +
O fly) = -34+4
Answer:
f(x) = - 3x + 4
Step-by-step explanation:
Note that y = f(x)
Rearrange making y the subject
9x + 3y = 12 ( subtract 9x from both sides )
3y = - 9x + 12 ( divide all terms by 3 )
y = - 3x + 4 , that is
f(x) = - 3x + 4
solve this emergency i will mark you as brainliest
Answer:
3/8 cups.
Step-by-step explanation:
2 tablespoons of sugar = 1/16 * 2 = 1/8 cup of sugar.
1/2 cup = 4/8 cups.
So the extra sugar required = 4/8 - 1/8
= 3/8 cups.
Answer:
4) 3/8 cup
Step-by-step explanation:
1 table spoon = [tex]\frac{1}{16}[/tex] cup
2 table spoon = 2 * [tex]\frac{1}{16} = \frac{1}{8}[/tex] cup
Second recipe need (1/8) cup of sugar
First recipe need (1/2) cup of sugar
More amount of sugar need by first recipe= [tex]\frac{1}{2}-\frac{1}{8}[/tex]
[tex]=\frac{1*4}{2*4}-\frac{1}{8}\\\\\\=\frac{4}{8}-\frac{1}{8}\\\\=\frac{3}{8}[/tex]
Drag each label to the correct location on the figure. Not all labels will be used.
Find the missing angle measurements.
51°
54
47
75°
98°
82
?
105
28
Answer:
The measure of angle B is 54°. The measure of angle A is 51°. The measure of angle AFE is 47°.
Determine if the triangles are congruent.
Answer:
Answer to number 3:
Yes, because these two are similar triangles for sure so all their respective angles are equal in measure, and two pairs of sides are congruent to each other, so the third one must be congruent too.
help8b2 • 2b3 a) 16b-2 ,b) 16b6 ,c) 16b-4 ,d) 16b5
Answer:
16b^5
Step-by-step explanation:
8b^2×2b^3
= 16b^2+3
= 16b^5
Answer:
D)16b5
Step-by-step explanation:
8b2×2b3
= 16b2+3
= 16b5
Which equation represents the line that passes through points (1, –5) and (3, –17)? y = negative 6 x + 1 y = 6 x + 1 y = negative 6 x minus 1 y = 6 x minus 1
Answer:
[see below]
Step-by-step explanation:
Finding the slope of the two points:
[tex]m=\frac{-17+5}{3-1}=\frac{-12}{2}=\boxed{-6}[/tex]
The slope is -6.
Using an incomplete slope-intercept form equation to find the y-intercept:
[tex]y=6x+b\\\\-5=6(1)+b\\\\-5=6+b\\\\-5-6=6-6+b\\\\\boxed{1=b}[/tex]
The equation for the line passing the points is [tex]y=-6x+1[/tex].
The equation in standard from would be [tex]6x+y=1[/tex].
three people alice , ben , calvin, are conversing at a taxi stand since taxis are the only ride service in this town. although they havent met before ,they realize that all are going the same route to get desire destination. alice destination is 20 miles away , ben destination 30 miles away and calvins destination 40 miles away , the taxi costs 2 dollars per mile with tip included regardless of the number of passengers. how much should each person pay if the three share a cab to their respective destination
Answer:
Alice will have to pay $13.33
Ben will have to pay $23.33
Kelvin will have to pay $43.33
Step-by-step explanation:
Given that
Alice destination is 20 miles away
Ben destination is 30 miles away
Calvin destination is 40 miles away.
For a mile, taxi costs 2 dollars.
To find:
How much each person has to pay if they share the same taxi to their respective destinations?
Solution:
For the first 20 miles, the taxi will be shared by all 3 of them.
Charges for 20 miles = 20 [tex]\times[/tex] 2 = $40
This $40 will be shared among all 3.
Each will pay = [tex]\frac{40}{3} = \$13.33[/tex]
Charges for Alice = $13.33
Charges for Ben = $13.33
Charges for Calvin = $13.33
For the next 10 miles, the taxi will be shared by Ben and Calvin.
Charges for 10 miles = 10 [tex]\times[/tex] 2 = $20
This $20 will be shared between Ben and Calvin.
Each will pay = [tex]\frac{20}{2} = \$10[/tex]
Charges for Alice = $13.33
Charges for Ben = $13.33 + 10 = $23.33
Charges for Calvin = $13.33 + 10 = $23.33
For the next 10 miles, Calvin travels alone.
Charges for 10 miles = 10 [tex]\times[/tex] 2 = $20
This $20 will be paid by Calvin alone.
Charges for Alice = $13.33
Charges for Ben = $23.33
Charges for Calvin = $23.33 + 20 = $43.33
what are co prime numbers
Answer:
A set of numbers or integers which have only 1 as their common factor are called co prime numbers.Answer: In number theory, two integers a and b are said to be relativley prime or co prime, if the only positive integer (factor) that divides both of them is 1.Consequently, any prime numbers that divides one does not divide the other.
Step-by-step explanation:
Find the amplitude of y = -2 sin x
Answer:
Amplitude = 2
Step-by-step explanation:
The amplitude of this sine wave is 2 denoted by the coefficient -2 in front of the sin(x). The negative of the coefficient denotes that the sine wave is the opposite of the standard sine wave.
Cheers.
pls solve this as soon as possible
Answer:
x³ - y³ = 0
Step-by-step explanation:
Given : [tex]\frac{x}{y}+\frac{y}{x}=-1[/tex]
To Find : value of (x³ - y³)
Since, [tex]\frac{x}{y}+\frac{y}{x}=-1[/tex]
[tex]\frac{x^2+y^2}{xy}=-1[/tex]
x² + y² = -xy
x² + y² + xy = 0 -----(1)
Since, x³ - y³ = (x - y)(x² + xy + y²) [From the formula, (a³ - b³) = (a -b)(a²+ b² + ab)
= (x - y)(0) {From equation (1)]
= 0
Therefore, value of x³ - y³ = 0 will be the answer.
In a fish tank, 1/5 of the fish are guppies and 1/12 of the fish are goldfish. Which equation most closely estimates the fraction of the fish that are guppies or goldfish in the tank.suggested answers: 1/2+1/2=1 , 1/2+1/4=3/4 , 1/4+1/4=1/2, 1/4+0= 1/4
Answer: [tex]\dfrac{1}{5}+\dfrac{1}{2}=\dfrac{7}{10}[/tex]
Step-by-step explanation:
A or B = A+B
Given: In a fish tank, [tex]\dfrac15[/tex] of the fish are guppies and [tex]\dfrac{1}{12}[/tex] of the fish are goldfish.
Then, the fraction of the fish that are guppies or goldfish in the tank=[tex]\dfrac{1}{5}+\dfrac{1}{2}=\dfrac{2+5}{5\times2}[/tex]
[tex]\dfrac{7}{10}[/tex]
Hence, the equation most closely estimates the fraction of the fish that are guppies or goldfish in the tank:
[tex]\dfrac{1}{5}+\dfrac{1}{2}=\dfrac{7}{10}[/tex]
Jill has 120 feet of fencing to use for her horse paddock. To increase the area she can enclose, she plans on using the side of the barn as one side of her paddock as shown below. Determine which equation can be used to find the dimensions of the horse paddock when the area is 1,800 square feet. Let x represent the width of the paddock.
Answer:
D) -2x²+120=1800
Step-by-step explanation:
area=l*w
the area is 1800 (given)
the length is x (given)
the width would be 120-2x (120 feet of fencing minus the two lengths)
SO
1800=(x)(120-2x)
1800=120x-2x²
1800=-2x²+120
-2x²+120=1800
So the answer is D
The equation representing the area of the horse paddock is -2x² + 120x = 1800. The correct option is (D).
What is a rectangle?A rectangle is a type of parallelogram having equal diagonals.
All the interior angles of a rectangle are equal to the right angle.
The area of a rectangle can be found by taking the product of its length and breadth.
Given that,
The total length of the fence is 120 feet.
And, the area enclosed is 1800 square feet.
As per the given question, the expression for the length of fence is as below,
2x + l = 120
=> l = 120 - 2x
Since the horse paddock is in the shape of a rectangle, its area can be written as,
x(120 - 2x) = 1800
=> 120x - 2x² = 1800
=> -2x² + 120x = 1800
Hence, the equation that can be used to find the dimensions of the horse paddock is given as -2x² + 120x = 1800.
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kinda confused buttttt anyone know this?
Answer:
Hey there!
The overlapping part is the product.
Thus, the product is 1/8.
Hope this helps :)
what is x? x=? y= -2 y+2=-3(x-4)
[tex]-2+2=-3(x-4)\\0=-3x+12\\3x=12\\x=4[/tex]
plz answer this asap
Answer:
50%
Step-by-step explanation:
Owen made 60% of the shots he attempted during his hockey practice. He made 18 shots. How many shots did Owen attempt during his hockey practice?
Answer:
11 shots
Step-by-step explanation:
60% of 18 = 10.810.8 rounded = 11Why we did this:
Owen made 60% of the shots he made, and he made 18 shots in total. Therefore, we would take 60% of 18.The answer we get is 10.8, but we can't have a part of a shot. That wouldn't make sense. Therefore, we have to round up to 11 shots.So therefore, Owen made 11 of 18 shots he attempted.
Owen attempted 11 shots during the hockey practice.
Number of shots attempted by Owen = 18
Percentage of shots made = 60%
Then, the number of shots made will be calculated as:
= Percentage of shots made × Number of shots attempted
= 60% × 18
= 60/100 × 18
= 0.6 × 18
= 10.8 shots
= 11 shots approximately
In conclusion, Owen made 11 shots
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PLEASE HELP ME WORTH 20 POINTS It looks like the graph of the parents function f(x)x^2. However:
- It has been reflected (flipped) over the x-axis
-It has been shifted down 4 units.
-It had been shifted left 1 unit
Step 1: Start with the equation f(x) = x2. Write the equation for the graph of g(x) that has been reflected, or flipped, over the x-axis.
Step 2: Use the equation you wrote in Step 1. Write the equation for the graph of g(x) that has also been shifted down 4 units.
Step 3: Use the equation you wrote in Step 2. Write the equation for the graph of g(x) that has also been shifted left 1 unit.
flipped : [tex]-x^2[/tex]
moving down: [tex] -x^2+4[/tex]
shifting left [tex] -(x+1)^2+4[/tex]
expanding it: [tex] -x^2-2x+3[/tex]
Answer:
1. f(x)=x^2
f(x)=-x^2
2. f(x)=-x^2-4
3. f(x)=-(x+1)^2-4
