What is the scale factor of Figure B to Figure A?
Write the first 4 multiples of 3/8
Multiples of 3
: 3, 6, 9, 12, 15, 18, 21, 24, ...
Multiples of 4
: 4, 8, 12, 16, 20, 24, ...
Multiples of 8
: 8, 16, 24, ..
2
Find the smallest number that is shared by all rows above. This is the LCM.
LCM = 2424
Method 2: By Prime Factors
1
List the prime factors of each number.
Prime Factors of 3
: 3
Prime Factors of 4
: 2, 2
Prime Factors of 8
: 2, 2, 2
2
Find the union of these primes.
2,2,2,32,2,2,3
3
Multiply these numbers: 2\times 2\times 2\times 3=242×2×2×3=24. This is the LCM.
LCM = 2424
if you borrow $1,200 for 3 years at an annual interest rate of 4% how much will you pay altogether
Answer:
$1,344.00
Step-by-step explanation:
A=P(1+rt)
A=1,200(1+(0.04)(0.03))
According to a recent poll, 25% of adults in a certain area have high levels of cholesterol. They report that such elevated levels "could be financially devastating to the regions healthcare system" and are a major concern to health insurance providers. According to recent studies, cholesterol levels in healthy adults from the area average about 260 mg/dL, with a standard deviation of about 35 mg/dL, and are roughly Normally distributed. Assume that the standard deviation of the recent studies is accurate enough to be used as the population standard deviation. If the cholesterol levels of a sample of 49 healthy adults from the region is taken answer parts (a) through (d). A) What is the probability that the mean cholesterol level of the sample will be no more than 210? B) What is the probability that the mean cholesterol level of the sample will be between 205 and 215? C) What is the probability that the mean cholesterol level of the sample will be less than 200?D) What is the probability that the mean cholesterol level of the sample will be greater than 222?
Answer:
The answer is below
Step-by-step explanation:
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\for\ a \ sample(n):\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\where\ x=raw\ score,\mu=mean, \sigma=standard deviation[/tex]
Given that n = 49, μ = 260 mg/dL, σ = 35 mg/dL
a) For x < 210:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{210-260}{35/\sqrt{49} } =-10[/tex]
From the normal distribution table, P(x < 210) = P(z < -10) = 0.0001
b) For x > 205:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{205-260}{35/\sqrt{49} } =-11[/tex]
For x < 215:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{215-260}{35/\sqrt{49} } =-9[/tex]
P(205 < x < 215) = P(-11 < z < -9) = P(z < -9) - P(z < -11) = 0.0001 - 0.00001 = 0.00009
c) For x < 200:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{200-260}{35/\sqrt{49} } =-12[/tex]
From the normal distribution table, P(x < 200) = P(z < -12) = 0.00001
d) For x > 222:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{222-260}{35/\sqrt{49} } =-7.6[/tex]
From the normal distribution table, P(x > 200) = 1 - P(z < -12) = 1 - 0.0001 = 0.9999
7ft
5ft
8ft
7ft
Find the area of each figure
combine like terms -2m+16-13m
Answer:
-15m + 16
Step-by-step explanation:
n = 40, p=0.95, X = 38
P(38) =
Answer:
36.1
Step-by-step explanation:
A motel owner observes that when a room is priced at $60 per day, all 80 rooms of the motel are occupied. For every $3 rise in the charge per room per day, one more room is vacant. Each occupied room costs an additional $15 per day to maintain.
a) Find the demand function, expressing p, the price charged for each room per day, as a function of x, the number of rooms occupied.
b) Find the profit function P(x).
c) Find the price of per room per day the motel should charge in order to maximize its profit.
Answer:
a) p(x) = 300 - 3
b) P(x) = -3 x² + 285 x
c) Price of per room per day = $ 157.5
when Number of rooms occupied , x = 47.5
Step-by-step explanation:
Given - A motel owner observes that when a room is priced at $60 per day, all 80 rooms of the motel are occupied. For every $3 rise in the charge per room per day, one more room is vacant. Each occupied room costs an additional $15 per day to maintain.
To find - a) Find the demand function, expressing p, the price charged for each room per day, as a function of x, the number of rooms occupied.
b) Find the profit function P(x).
c) Find the price of per room per day the motel should charge in order to maximize its profit.
Proof -
a)
Let
(x, y) be the point
where x represents number of rooms occupied
and y represents price of room per day.
Now,
Given that,
a room is priced at $60 per day, all 80 rooms of the motel are occupied.
So, point becomes (80, 60)
And given that For every $3 rise in the charge per room per day, one more room is vacant.
So, point becomes (79, 63)
Now, we have two points (80, 60), (79, 63)
Let us assume that,
p(x) be the price charged for each room per day
Now,
By using point - slope formula , we get
p -60 = [tex]\frac{(63 - 60}{(79 - 80)} (x - 80)[/tex]
⇒p -60 = (-3)(x-80)
⇒p-60 = 240 -3 x
⇒p(x) = 240 + 60 -3 x
⇒p(x) = 300 - 3 x
b)
Given that,
Each occupied room costs an additional $15 per day to maintain.
Let C(x) be the cost function,
Then C(x) =15 x
now,
Revenue function,
R(x) =x*p
= x*(300 -3 x )
= 300 x - 3 x²
⇒R(x) = 300 x - 3 x²
Now,
We know
Profit function = Revenue function - Cost function
⇒P(x) = R(x)-C(x)
⇒P(x) = (300 x -3 x²) -15 x
⇒P(x) = -3 x² + 285 x
c)
P'(x) = -6 x +285
For Maximize profit , Put P'(x) = 0
⇒-6 x+ 285 =0
⇒6 x= 285
⇒x = [tex]\frac{285}{6}[/tex]
⇒x= 47.5
∴ we get
Maximize profit is when price, p = 300 - 3x
= 300 -3(47.5)
= $157.5
⇒Price of per room per day = $ 157.5
when Number of rooms occupied , x = 47.5
when 3 times a number is added to it's square the total is 18
Answer:
x(the number)=3
Step-by-step explanation:
3×3+3squared = 18
Answer:
3x + x^2 = 18
x^2 + 3x - 18 = 0
(x + 6)(x - 3) = 0
x + 6 = 0
x = -6
x - 3 = 0
x = 3
What is the solution to the equation below? vx-5=x-11
A. X=9
B. X=15
C. X=14
D. X=6
Answer:0=−6
Step-by-step explanation:
Help me plz thank you but try to put the right answer
Answer:
Option D is correct.
Step-by-step explanation:
Have a nice day. ;-)
I need help please because I don’t get it
Answer:
x=5
Step-by-step explanation:
already explained.
Evaluate −6 − (−1)
a.) -7
b.) 5
c.) -5
d.) 6
Answer:
-5
hope this helped!!
in a school with 400 student , 22% are sixth graders . How many students are in the sixth grade?
Answer:
88
Step-by-step explanation:
Find the solution to the system of equations.
2x + 3y + z = 20
3y + 5z = 12
y - 5z = 4
O A. x = 2, y = 5, z = 0
O B. x = 3, y = 3, z = 0
C. X = 4, y = 4, z = 0
D. X = 3, y = -2, z = 4
Answer:
C is the answer
Step-by-step explanation:
hope that helped
The mode score on the 6th grade math quiz was 94! Which of these interpretations must be correct?
A: 99 was the highest score on the test.
B: More students received a 94 than any other score
C: A score of 91 was slightly below average.
D: No student scored below a 50.
Answer: B
Step-by-step explanation: because there were more students with score of 94 than any number.
The interpretations that must be correct is option B.
Given that,
The mode score on the 6th grade math quiz was 94.Based on the above information, the information is as follows:
More and more students should received 94 as compared to other source.It can't be say that 99 was the highest score on the test.And all other statement should not be considered.Learn more: brainly.com/question/16911495
How many grams of a radioactive kind of neodymium will be left after 33 days if the half-life is 11 days and you start with
160 grams?
Answer:
20 grams will be left.
Step-by-step explanation:
Half-life is 11 days
This means that in each 11 days, you lose 50% of the amount.
33 days
33/11 = 3 half-lifes.
You start with 160 grams
After 11 days: 160/2 = 80 grams
After 22 days: 80/2 = 40 grams
After 33 days: 40/2 = 20 grams.
20 grams will be left.
Answer:10
Step-by-step explanation:
what is half of 18 !!!
Answer:
9
Step-by-step explanation:
Is 307,404 divisible by 3?
3.) Use the distributive property to re write each expression. 5(2x+7)
Your answer
a. How much warmer is 82 than 40?
b. How much warmer is 82 than -40?
a. What is the difference in height between 30 m up a cliff and 87 m up a cliff? What is the distance between these positions?
b. What is the difference in height between an albatross flying at 100 m above the surface of the ocean and a shark swimming 30 m below the surface? What is the distance between them if the shark is right below the albatross?
Answer:
a. 42
b. 122
a. 57
b. 130
Step-by-step explanation:
For problem A:
because both of these values have positive numbers, just use normal subtraction
82 - 40 = 42 degrees warmer
For problem B:
because we are subtracting a negative number from a positive number, we add both of these numbers because 82 - -40 can also be equal to 82 + 40
82 - -40 = 122
For problem A:
the sentences 30m up a cliff and 87m up a cliff are describing positive values.
87 - 30 = 57
For problem B:
Now in this problem, the sentence 100m above the surface is describing a positive value, but the sentence 30m below the surface describes a negative value
how do I know this?
if the sentences above the surface and below the surface are describing positive and negative values, then there has to be a neutral value ( which is 0)
0 meters = the surface, because they are using both positive and negative values, meaning that the surface is the neutral value
by using a number line, you can draw it out like this
below the surface-------------------------the surface----------------------------above the surface
-30--------------------------------------------0--------------------------------------------100
therefore, 100 - - 30 = 100 + 30 = 130
Does anybody know if it’s possible to find the answers online for Aleks math?
Hello. I have no idea how to solve this question below about Probability. I would appreciate if you show how to solve it step-by-step. Thank you so much.
Alonzo, Bob, and Casper work bussing tables at a restaurant. Alonzo has a 70% chance, Bob has a 10% chance, and Casper has a 20% chance of bussing tables in the middle area of the restaurant. If Alonzo is bussing tables, he has a 6% chance of breaking a dish. If Bob is bussing tables, he has a 2% chance of breaking a dish. Finally, if Casper is bussing tables, he has a 3% chance of breaking a dish. If there is a broken dish in the middle of the restaurant, what is the probability it was broken by Casper?
The probability the dish was broken by Casper if he bussed tables is;
P(Casper bussing tables and breaking dish) = 0.6%
We are given the three probabilities each for Alonzo, Bob and Casper for bussing tables and also in case any dish should break.
P(Alonzo bussing tables) = 70% = 0.7
P(Bob bussing tables) = 10% = 0.1
P(Casper bussing tables) = 20% = 0.2
P(Alonzo breaking a dish) = 6% = 0.06
P(Bob breaking a dish) = 2% = 0.02
P(Casper breaking a dish) = 3% = 0.03
This is all about independent events as the probability of breaking the dishes does not increase or decrease with the bussing of the tables.
Thus; P(A and B) = P(A) + P(B)
Thus, if a dish is broken, the probability that it was broken by Casper is;
P(Casper bussing tables and breaking dish) = P(Casper bussing tables) × P(Casper breaking a dish)
P(Casper bussing tables and breaking dish) = 0.2 × 0.03
P(Casper bussing tables and breaking dish) = 0.006 or 0.6%
Read more at; https://brainly.com/question/12602710
Porcentajes
•Halla los siguientes porcentajes.
•
•a) 15% de 300, b) 25% de 8,000, c) 50% de 7,500,
•
•d) 45% de 1000, e) 30% de 3,600, f) 25% de 5,500
Answer:
A: 45
B: 200
C: 3750
D: 450
E: 1080
F: 1375
Step-by-step explanation:
Tyshawn drew a two-dimensional shape. The shape had multiple sides. The
shape had only right angles. There are two pairs of parallel lines. One pair is 4 inches
Answer:
This is a rectangle
Step-by-step explanation:
2D shape with 4 right angles would be a rectangle because 2 sides are equal and the other 2 would be equal to give you 4 right angles
PLEASE PLEASE HELP ME
At a farmers market, a package of pears weighs 3lb and cost $9. Bananas are priced at 4lb per dollar. Use rates to explain witch kind of fruit is more expensive per pound
Answer:
The pears are more expensive per pound
Step-by-step explanation:
Find the cost per pound of the pears and bananas by dividing the cost by the number of pounds:
Pears:
9/3
= 3 ($3 per pound of pears)
Bananas:
1/4
= 0.25 ($0.25 per pound of bananas)
Since 3 is larger than 0.25, this means the pears are more expensive per pound.
A speed boat travels 1040 meter in 30 minutes. How far will it go in an hour? *
Answer:
2080 meters
Step-by-step explanation:
An hour is double of 30 minutes so, if you double the length it went you would get how far it goes in an hour, 2080 meters.
Thando bought 24 marbles and lost 4/6 of his marbles how many did he lose?
Answer:
he lost 16, he has 8 left
Step-by-step explanation:
24 divided by 6 =4
4 x 4 = 16
24 - 16 = 8
a parabola has vertical axis symmetry with a vertex at the point of (0,0) and (0, -5) focus point