9514 1404 393
Answer:
720
Step-by-step explanation:
The LCM of these numbers will have every factor that is part of these numbers.
16 = 2^4
30 = 2 × 3 × 5
36 = 2^2 × 3^2
So, the LCM will have factors of 2^4, 3^2, and 5:
LCM(16, 30, 36) = 2^4 × 3^2 × 5 = 720
720 = 16×45 = 30×24 = 36×20
The least common multiple is 720.
An equation of the perpendicular bisector of the line segment with end points (3,0) and (-3,0) is
A) x = -3/2
B) x = 0
C) x = 3/2
D) X = 3
E) X = 6
Help please with steps
Answer:
[tex]x = 0[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (3,0)[/tex]
[tex](x_2,y_2) = (-3,0)[/tex]
Required
The equation of the perpendicular bisector.
First, calculate the midpoint of the given endpoints
[tex](x,y) = 0.5(x_1 + x_2, y_1 + y_2)[/tex]
[tex](x,y) = 0.5(3-3, 0+ 0)[/tex]
[tex](x,y) = 0.5(0, 0)[/tex]
Open bracket
[tex](x,y) = (0.5*0, 0.5*0)[/tex]
[tex](x,y) = (0, 0)[/tex]
Next, determine the slope of the given endpoints.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{0 - 0}{-3- 3}[/tex]
[tex]m = \frac{0}{-6}[/tex]
[tex]m = 0[/tex]
Next, calculate the slope of the perpendicular bisector.
When two lines are perpendicular, the relationship between them is:
[tex]m_2 = -\frac{1}{m_1}[/tex]
In this case:
[tex]m = m_1 = 0[/tex]
So:
[tex]m_2 = -\frac{1}{0}[/tex]
[tex]m_2 = unde\ fined[/tex]
Since the slope is [tex]unde\ fined[/tex], the equation is:
[tex]x = a[/tex]
Where:
[tex](x,y) = (a,b)[/tex]
Recall that:
[tex](x,y) = (0, 0)[/tex]
So:
[tex]a = 0[/tex]
Hence, the equation is:
[tex]x = 0[/tex]
What causes a sequence to be arithmetic? Geometric?
Answer:
An arithmetic sequence has a constant difference between each term. ... A geometric sequence has a constant ratio (multiplier) between each term. An example is: 2,4,8,16,32,… So to find the next term in the sequence we would multiply the previous term by 2.
Step-by-step explanation:
Plsssssss help and no one send me a file just tell me the answer
Either F or J
I think it's J, but it might be F :|
PLZ HELP I WILL MAKE YOU BRAINLIEST NO FAKE LINKS
Answer:
1/30 of an hour
Step-by-step explanation:
Joe bought four books at a bookstore. Here are their prices (in dollars). 7.34, 11, 13.2, 5.3 What is the total amount Joe paid at the bookstore?
Answer:
36.84
Step-by-step explanation:
just add them it is all really just basic addition nothing more to it
All the dimensions of a pentagon were multiplied by the same factor, and the area of the figure changed by a factor of
25. By what factor were the dimensions of the pentagon multiplied?
a) 12.5
b) 625
c) 5
d) 50
Since the area of the figure changed by a factor of 25, a factor by which the dimensions of the pentagon were multiplied include the following: C. 5.
What is a scale factor?In Geometry and Mathematics, a scale factor simply refers to the ratio of two corresponding side lengths in two similar geometric figures such as pentagons, which can be used to either horizontally or vertically enlarge (increase) or reduce (decrease or compress) a function that represents their size.
In Geometry, the scale factor of the dimensions of a geometric figure can be calculated by using the following formula:
(Scale factor of dimensions)² = Scale factor of area
(Scale factor of dimensions)² = 25
Scale factor of dimensions = √25 = 5
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Answer:
c.5
Step-by-step explanation:
Will give Brainly
Find the probability that a
randomly
selected point within the circle falls
in the red shaded area.
60°
60°
r= 4 cm
[? ]%
Round to the nearest tenth of a percent.
Answer: 33.3%
s Step-by-step explanation: The combined arc length of the red area is 120, which is 1/3 of 360, the full arc. So the probability is 1/3, or 33.3%. Hope this helps!
The probability that a randomly selected point within the circle falls
in the red shaded area will be 33.33%.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favorable outcomes / Number of sample
Given that the shaded red sector has an angle of 60 degrees and the radius of the circle is 4 cm. The probability will be calculated as:-
The formula for a circle's sector's area is (Ф/360°) x π(r²), where r is the circle's radius and is the sector's angle.
Area of shaded region = (Ф/360°) x π(r²),
Area of shaded region = ( 60 / 360 ) x π (4²)
Area of shaded region = 8.377 square cm
Total shaded area = 2 x 8. 377 = 16.75 square cm
Total area of circle = π (4²) = 50.265 square cm
The probability is calculated by the formula below:-
Probability = Number of favorable outcomes / Number of sample
Number of favorable outcomes = 8.377
Number of sample = 50.265 square cm
Probability = 8.377 / 50.265 = 0.3333 = 33.33%
Therefore, the probability that a randomly selected point within the circle falls in the red-shaded area will be 33.33%.
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HELP!!! Quick and easy!
Answer:
2r + 6 = 16
r = 5
Which set of ordered pairs represents a function?
A {(22, 5), (23, 10), (22, 7), (23, 5)}
B {(22, 5), (26, 10), (23, 7), (23, 5)}
C {(22, 10), (23, 10), (24, 7), (25, 5)}
D {(24, 10), (23, 6), (22, 7), (24, 5)
Answer:
D
Step-by-step explanation:
the company is it a big company with you in my neighborhood that is a lot more expensive and more expensive to
The average value of a function f(x, y, z) over a solid region E is defined to be fave = 1 V(E) E f(x, y, z) dV where V(E) is the volume of E. For instance, if ???? is a density function, then ????ave is the average density of E. Find the average value of the function f(x, y, z) = 3x2z + 3y2z over the region enclosed by the paraboloid z = 4 − x2 − y2 and the plane z = 0.
Answer:
The average function [tex]f_{avg}[/tex] value = 4
Step-by-step explanation:
Given that:
[tex]f(x,y,z) = 3x^2z+3y^2z[/tex]
The enclosed region [tex]z = 4 -x^2 -y^2[/tex] and the plane z = 0.
Over an area E, the average value of a function f(x,y,z) is:
[tex]f_{avg} = \dfrac{1}{V_{E}} \iiint_E f(x,y,z) dV ------ (1)[/tex]
where;
[tex]V_E[/tex] = volume of region E
To find the volume use cylindrical coordinates;
[tex]x=rcos \theta; \ \ \ y = rsin \theta; \ \ \ z = z[/tex]
Then;
E = 0 ≤ r ≤2, 0 ≤ θ ≤ 2π, 0 ≤ z ≤ 4 - r²
[tex]V_E = \int^{2 \pi}_{0} \int^{2}_{0} \int^{4-r^2}_{0} \ rdzdrd \theta[/tex]
[tex]V_E = \int^{2 \pi}_{0} \int^{2}_{0} r(4-r^2) \ drd \theta[/tex]
[tex]V_E = \int^{2 \pi}_{0} \int^{2}_{0} (4r-r^3) \ drd \theta[/tex]
[tex]V_E = \int^{2 \pi}_{0} \Big(2r^2- \dfrac{r^4}{4} \Big)^2_0 \ d \theta[/tex]
[tex]V_E = 4(2 \pi)\\\\ V_E = 8 \pi[/tex]
However, from equation (1):
[tex]f_{avg} = \dfrac{1}{V_E} \iiint_E f(x,y,z) \ dV \\ \\ = \dfrac{1}{8 \pi} \iiint_E (3x^2z + 3y^2 z) dV \\ \\ = \dfrac{1}{8 \pi } \int^{2 \pi}_{0} \int^{2 }_{0} \int^{4 - r^2}_{0} \ \ 3zr^2 \ rdzdrd\theta \\ \\ = \dfrac{3}{8 \pi} \int^{2 \pi}_{0} \int^{2 }_{0} \Big(\dfrac{z^2}{2}\Big)^{4-r^2}_{0} \ r^3 drd\theta \\ \\ = \dfrac{3}{16 \pi} \int^{2 \pi}_{0} \int^{2 }_{0} (4-r^2)^2 \ r^3 \ dr d\theta[/tex]
[tex]= \dfrac{3}{16 \pi} \int^{2 \pi}_{0} \int^{2 }_{0} (16-8r^2 + r^4)r^3 \ dr d\theta \\ \\ = \dfrac{3}{16 \pi} \int^{2 \pi}_{0} \int^{2 }_{0} (16r^3 -8r^5 + r^7) \ dr d \theta \\ \\ = = \dfrac{3}{16 \pi} \int^{2 \pi}_{0} \Big (4r^4 - \dfrac{8}{6}r^6 + \dfrac{r^8}{8} \Big)^2_0 \ d \theta \\ \\ = \dfrac{3}{16 \pi } (2 \pi) \Big (64 - \dfrac{8}{6} \times 64 \times \dfrac{256}{8} \Big) \\ \\ = \dfrac{3}{16 \pi} (2 \pi) (\dfrac{32}{3}) \\ \\ = 4[/tex]
A bag contains colored tiles.
• 3 tiles are red
• 6 tiles are green
• 3 tiles are blue
A tile will be randomly selected from the bag. What is the probability in decimal form that the tile selected will be green?
Answer:
0.5
Step-by-step explanation:
add up the amount of tiles
6+3+3=12
then subtract the green tiles from the total amount
12-6=6
then divide 12/6
=0.5
Answer:
0.5
Step-by-step explanation:
We run a terminating simulation 20 replications to estimate the average throughput of a manufacturing system. Suppose that the observed throughputs from these 20 replications are 4, 5, 7, 5, 8, 7, 5, 9, 10, 5, 6, 7, 2, 11, 6, 3, 2, 11, 10, 7. a. (0.1 point) What is the 99% t-confidence interval for the mean throughput
Answer:
[tex]CI =6.5 \± 1.09[/tex]
Step-by-step explanation:
Given
[tex]Data: 4, 5, 7, 5, 8, 7, 5, 9, 10, 5, 6, 7, 2, 11, 6, 3, 2, 11, 10, 7[/tex]
Required
Determine the 99% t-confidence interval
First, calculate the mean
[tex]\bar x =\frac{\sum x}{n}[/tex]
[tex]\bar x =\frac{4+ 5+ 7+ 5+ 8+ 7+ 5+ 9+10+ 5+ 6+ 7+ 2+ 11+ 6+ 3+ 2+ 11+ 10+ 7}{20}[/tex]
[tex]\bar x =\frac{130}{20}[/tex]
[tex]\bar x =6.5[/tex]
Calculate the standard deviation
[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)}{n}[/tex]
[tex]\sigma =\sqrt{\frac{(4-6.5)^2+ (5-6.5)^2+ ........+ (2-6.5)^2+ (11-6.5)^2+ (10-6.5)^2+ (7-6.5)^2}{20}}[/tex]
[tex]\sigma =\sqrt{\frac{143}{20}}[/tex]
[tex]\sigma =\sqrt{7.15}[/tex]
[tex]\sigma =2.67[/tex]
The z score for 99% confidence interval is: 2.576
The confidence interval is calculated as:
[tex]CI =\bar x \± z * \frac{\sigma}{\sqrt n}[/tex]
[tex]CI =6.5 \± 2.576 * \frac{2.67}{\sqrt {40}}[/tex]
[tex]CI =6.5 \± 2.576 * \frac{2.67}{6.32}}[/tex]
[tex]CI =6.5 \± 1.09[/tex]
What would you multiply by to find 80% of an amount
Answer:
× [tex]\frac{80}{100}[/tex]
Step-by-step explanation:
For example-
80% of 400 (working in the attachment)
HOPE IT HELPS
Suppose that 55% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?
Answer:
The probability to one person to be a dog owner is p=0.56 (because 56% of people own dogs) and the probability that one person is not dog owner is q=1-p=1-0.56=0.44.
Step-by-step explanation:
Choosing two people at random, there are such possibilities:
1. both are dog owners;
2. first owns a dog, second not;
3. first hasn't dog, second owns a dog;
4. both haven't dogs.
Answer: if you pick two people at random the probability that they both own a dog is 0.3136.
Hope this helps! :))
The Probability that they both own a dog is 0.3025.
Here,
55% of people own dogs.
If pick two people at random,
Then we have to find the probability that they both own a dog.
What is Probability?
Probability is defined as the likelihood of something occurring or the chance of something happening.
Now,
55% of people own dogs.
Hence, the probability that they both own a dog = 55% * 55%
= 0.55 * 0.55
= 0.3025
So, The probability that they both own a dog is 0.3025.
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HELP!!!!
PLSSSSSSSSSSSSSS
Answer:
For 20
X= 120
Step-by-step explanation:
Susie says that it she has a quick way to determine the least common multiple of two numbers; you just multiply the numbers. Susie checked it with 3 and 5 and with 4 and 7 and method worked both times. Is Susie’s method a valid way to determine the least common multiple of two counting numbers? Explain.
Answer:
No, it is not a valid way
Step-by-step explanation:
Required
Is Susie's method valid?
Susie's method worked because 4 & 7 and 3 & 5 do not have a common factor.
In other words, Susie's method will not work when the two numbers have a common factor.
Take for instance, the LCM of 2 and 4.
Using Susie's method, the LCM will be 8 (i.e. 2 * 4) whereas the LCM is 4.
The owner of a pet shop predicts that 10 out of 20 new puppies are male. He randomly selects 10 of the puppies, and notes that all 10 are male. Which of the following conclusions best supports his findings?
Select one:
10 of the puppies are male and 10 are female.
More than 10 of the puppies are male.
All 20 puppies are male.
Less than 10 of the puppies are male.
Answer:
A, 10 of the new puppies are male and 10 are female
Step-by-step explanation:
Really this is the one that makes the most since because if 10 of the puppies are male, then 10 must be female.
Answer: A
Step-by-step explanation:
How many positive integer values of x are solutions to the inequality 10 < -x + 13?
9514 1404 393
Answer:
2
Step-by-step explanation:
The solution to the inequality is ...
10 < -x +13
x < 3 . . . . . . . add x-10 to both sides
The additional restriction that x is positive makes this ...
0 < x < 3
The only integer solutions to this are x = 1 and x = 2.
There are two (2) positive integer values of x that are solutions.
Answer:
2
Step-by-step explanation:
We first solve the inequality:
10 < -x + 13
-3 < -x
3 > x.
The only positive integers less than 3 are 1 and 2, for a total of 2 solutions.
what is importance of banks to ecomics
Answer:
They do transactions from such a large distance
Step-by-step explanation:
Banks make it far easier for a complex economy to carry out the extraordinary range of transactions that occur in goods, labor, and financial capital markets. Banks are a critical intermediary in what is called the payment system, which helps an economy exchange goods and services for money or other financial assets.
Factor x2+4x+3.
O A. (x-3)(x+1)
O B. (x-3)(x-1)
O C. (x+3)(x+1)
O D. (x+3)(x-1)
QUICKKKKKKKK!!!!
Answer:
c. (x +3)(x + 1)
Step-by-step explanation:
Factoring an equation is a way of expressing an equation as the product of other linear expressions. The following expression,
[tex]x^2 +4x +3[/tex]
Can be represented as the product of the following,
[tex](x+3)(x+1)[/tex]
To check this, one can distribute, one of the expressions over the other, then simplify, the result should be the starting expression,
[tex](x+3)(x+1)\\[/tex]
Distribute,
[tex](x)(x)+(1)(x)+(3)(x)+(3)(1)[/tex]
Simplify,
[tex]x^2 +x +3x + 3\\[/tex]
[tex]x^2 +4x +3[/tex]
A jar contains 40 balls numbered 1 through 40. Three balls are removed without being returned to the jar, and the numbers are written down in order. How many sequences of numbers are possible?
Answer:59280
Step-by-step explanation: Perumtaion of (40,3)
The required possible number of sequences is given as 59280.
Given that,
A jar contains 40 balls numbered 1 through 40. Three balls are removed without being returned to the jar, and the numbers are written down in order.
In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
Here,
Total number of balls = 40
Number of balls selected = 3
Combination of sequence = 40P3
Combination of sequence = 59280
Thus, the required possible number of sequences is given as 59280.
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Solve for x. Round your answer to the nearest tenth.
42
37
X=
units
Answer:
10
Step-by-step explanation:
That little square gives you a hint that it's an 90 degree angle/ acute angle First add 42 and 37 and you will get 79. Next subtract 79 from 90 and you will get 11. (5 or more, raise the score, for or less, let it rest.) 11 equals 10.
Numarical form:
47 + 37 = 79
90 - 79 = 11
11 = 10
Solve the equation. Find all real solutions.
9r3 - 144r = 0
Answer:
r=0
Step-by-step explanation:
9r x 3 - 144r = 0
27r-144r=0
-117r=0
r=0
In the right triangle shown, find x.
PLEASE HELP!!!!
Quadrilateral WXYZ has a length of five, six, seven, and eight. A new quadrilateral is created, using a scale factor of 1.2. Which of the following are stylings of the new quadrilateral?
Choose all that apply:
10
8.4
9.6
6
7.2
5
PLEASE HELP I Got 5 minutes
Answer:
10
8.4
5
Step-by-step explanation:
GUYS HELP ME PLS. Tina is standing at the bottom of a hill. Matt is standing on the hill so that when Tina's line of sight is
perpendicular to her body, she is looking at Matt's shoes.
a. If Tina's eyes are 5 feet from the ground and 14.5 feet from Matt's shoes, what is the angle of elevation of
the hill to the nearest degree?
Answer:
71°
Step-by-step explanation:
The angle of elevation of the hill can be obtiaed using trigonometry :
Given
the opposite length = 14.5 feets
Adjacent = 5 feets
The angle of elevation vabnbe obtained using :
Tan θ = opposite / Adjacent
Where θ = angle of elevation
Tan θ = 14.5 / 5
Tan θ = 2.9
θ = tan^-1(2.9)
θ = 70.97 = 71°
Which of the following scenarios represents a possible impulse purchase?
Bryce researches interest rates on the purchase of a new car before deciding to make a purchase.
Bryce budgets for his first new car and decides to purchase a car through a dealership offering 0% interest to first-time buyers.
Bryce purchases the car of his dream by financing the entire cost of the car with a high interest bank loan.
Answer: Bryce purchases the car of his dream by financing the entire cost of the car with a high interest bank loan.
Step-by-step explanation: Please mark brainliest I am trying to level up
What is the radius and diameter of the following circle?
16 cm
Answer:
radius is 16
diameter is 32
Step-by-step explanation:
Your radius is the line starting from the point in the middle to any part of the edge of the circle. A diameter is when there is a long straight line from both ends reaching the edges of the circle crossing the point.
A diameter is just the radius doubled but except it all has to be straight coming reaching both edges.
A radius is half of a diameter.
Answer:
radius = 16 cm
diameter = 32 cm
Step-by-step explanation:
radius = a straight line from the center of the circle to any point on the circle's circumference
We are given the radius (16 cm)
The diameter is equal to twice the length of the radius
So diameter = 16 * 2
16*2=32 so the length of the diameter is 32 cm
How is this happening i was only gone for 2 weeks
Answer:
step it up dont lack
Step-by-step explanation:
keep answering and helping others
Please help this is geometry :)