Answer:
The equation is not correct because the statement indicates that they charged $150 to clean one house which means that the equation showed that the earnings were the result of multiplying the price to clean one house for the number of houses cleaned, which is:
e=150h
As the statement indicates that they plan to raise their fees and they will charge $175 to clean each house, this means that the price changes from 150 to 175 and you have to replace this in the formula and because of this the new equation would be:
e=175h
The equation the owners wrote is not right because it shows that the earnings are equal to a fixed charge of $150 plus a price of $25 for the number of houses and the statement says that the price is $175 for each house so the number of houses cleaned should be multiplied for that price.
what is 2X500 pls!!!!!
Answer:
1000
Step-by-step explanation:
2×500=1000
hope it helps
The number of bacterial colonies of a certain type in samples of polluted water has a Poisson distribution with a mean of 3 per cubic centimeter (cm3). (a) If eight 1 cm3 samples are independently selected from this water, find the probability that at least one sample will contain one or more bacterial colonies. (Round your answer to four decimal places.) 1 Correct: Your answer is correct. seenKey 1.000 (b) How many 1 cm3 samples should be selected in order to have a probability of approximately 0.95 of seeing at least one bacterial colony
Answer:
a) 1 = 100% probability that at least one sample will contain one or more bacterial colonies.
b) 1 sample should be selected in order to have a probability of approximately 0.95 of seeing at least one bacterial colony
Step-by-step explanation:
To solve this question, we need to understand the poisson and the binomial distributions.
Poisson distribution:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Probability of a single sample having at least one bacterial colonies.
Poisson distribution with a mean of 3 per cubic centimeter (cm3), which means that [tex]\mu = 3[/tex]
This is:
[tex]P(X \geq 3) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0495[/tex]
[tex]P(X \geq 3) = 1 - P(X = 0) = 1 - 0.0495 = 0.9505[/tex]
(a) If eight 1 cm3 samples are independently selected from this water, find the probability that at least one sample will contain one or more bacterial colonies.
Multiples samples means that the binomial distribution is used.
0.9505 probability of a sample having at least one colony, which means that [tex]p = 0.9505[/tex]
8 samples means that [tex]n = 8[/tex]
The desired probability is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{8,0}.(0.9505)^{0}.(0.0495)^{8} \approx 0[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0 = 1[/tex]
1 = 100% probability that at least one sample will contain one or more bacterial colonies.
(b) How many 1 cm3 samples should be selected in order to have a probability of approximately 0.95 of seeing at least one bacterial colony
We have to find [tex]P(X \geq 1)[/tex] for samples of 1,2,3,..., until this probability is 0.95. So
n = 1
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{1,0}.(0.9505)^{0}.(0.0495)^{1} = 0.0495[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0495 = 0.9505[/tex]
0.9505 > 0.95
1 sample should be selected in order to have a probability of approximately 0.95 of seeing at least one bacterial colony
50% of 90 change to decimal
Answer:
0.5 or 0.45
Step-by-step explanation:
this needs to be 20 characters long
WILL MARK BRANILIEST PLZ HELP
Type the correct answer in the box. Use numerals instead of words, and round your answer to the nearest whole number.
Meghan flipped a quarter and rolled a standard six-sided die.
The probability that the coin landed on heads and the die landed on an even number is __%.
Answer:
25%
Step-by-step explanation:
Multiply the two probabilities.
P(heads)*P(even) = 1/2*1/2 = 1/4
1/4 = 25%
Easy question What is the answer??
Answer:
72.5
Step-by-step explanation:
Answer:
72.5
Step-by-step explanation:
PLEASE HELP ONLY GENIUSES! THANK YOU IN ADVANCE!
Answer:
By trigonometric properties that is NOT an identity By trigonometric properties this is an identifyFor the function f(x) = 3x
Find f(4)
Answer:
F(4) = 3*4 = 12
Step-by-step explanation:
Click an Item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Express In simplified exponential notation.
18a^3b^2/ 2ab
Answer:
18a^3b^2/2ab
To simplify the given expression, we apply property of exponents
18/2 = 9
x^m / x^n= x^ (m-n) In division we subtract the exponents
So given expression becomes
9a^2b
The answer has only positive exponents
i think this is what you want?
The simplified exponential notation of the given expression is [tex]9a^2b[/tex].
The given expression is: [tex]\frac{18a^3b^2}{2ab}[/tex]
What is an exponential expression?An expression in the form of [tex]a^pb^qc^r[/tex].. is called exponential expression.
We can write the above expression as:
[tex](\frac{18}{2} )(\frac{a^{3} }{a} )(\frac{b^{2} }{b} )[/tex]
We know that [tex]\frac{a^m}{a^n} =a^{m-n}[/tex]
[tex]\frac{a^{3} }{a} =a^{3-1} =a^{2} \\\frac{b^{2} }{b}=b^{2-1} =b[/tex]
So, [tex](\frac{18}{2} )(\frac{a^{3} }{a} )(\frac{b^{2} }{b} )[/tex] =[tex]9a^2b[/tex]
Hence, the simplified exponential notation of the given expression is [tex]9a^2b[/tex].
To get more about polynomials visit:
https://brainly.com/question/2833285
Can someone help me? I’ll reward points + brainalist
Answer:
Step-by-step explanation:
The given box in both questions are cuboid.
Question 3:
Volume of cuboid = length * width * height
= 3 * 3 * 5 = 45 units.
Question 4:
Volume of cuboid = length * width * height
= 4 * 2 * 6 = 48 units
In circle O, central angle BOC has a measure of 115. Find the measure of arc BAC. In your final answer, Include all of your work.
Answer:65
Step-by-step explanation:
Use any strategy to solve 3,600 divided by 9. Upload your work.
Answer:
400
Step-by-step explanation:
3600/9=400
36/9=4
add the zeros back in after
Answer:
400
Step-by-step explanation:
I hope this helps you
Help ASAP !!!! I’m almost done
Answer:
1. 30.48cm
2. 5.77yds
3. 540min
4. 1200cm
5. 8.45qt
6. 168hr
7. 4535.92grams
8. 15yd
9. 32.808ft
Step-by-step explanation:
hope this helps :)
Alice sells bracelets 10 for $5. How much does 1 bracelet cost?
Answer:
FOR ALL MY POINTS write an argumentative essay on why dog parks are "helpful or harmful"
READ PROMPT
Step-by-step explanation:
Answer:
$2
Step-by-step explanation:
Because Alice sells 10 bracelets for 5 dollars, you have to do 10/5 which is equal to 2. Therefore, 1 bracelet cost $2.
Pls help
This is due in 7 minutes
Answer:
17. The puppy will grow 16 in - ( 1 foot = 12in and 28-12=16)
Step-by-step explanation:
18 .
21; 17.5; 14; 10.5; and 7
3 x 7 = 21
2.5 x 7 = 17.5
2 x 7 = 14
1.5 x 7 = 10.5
1 x 7 = 7
The perimeter of a square is given as 12x plus 20 write two different expressions to represent its perimeter for one way factors the expression using the gcf
Divide. Write your answer in simplest form. 9/2 / 1/4
Answer:
18
Step-by-step explanation:
9/2 / 1/4
keep 9/2
Change the operation to multiplication
flip 1/4 into 4 or 4/1
multiply on top and bottom and get 36/2
which 36/2 is 18 and 18 is the answer
Brainliest?
5+10+15+20 in stigma notation
You mean Sigma notation not stigma ^^
Answer:
Look the attachment
the ratio of lampreys to oarfish in the marine aquarium was 27:22 if there were 162 lampreys in the aquarium how many oarfish were there
Answer:
132
Step-by-step explanation:
First divide the number of lampreys by the ratio.
162/27=6
Then multiply the result (6) by the oarfish part of the ratio
22*6=132
How do you find the perimeter and area of each figure
Answer:
Find the perimeter and area of each individual cube then add them up,
Area=length times width
Perimeter=4 times side
Step-by-step explanation:
Describe the translation from the red figure to the blue figure
Answer:
whattt do I have to do translate what???
Answer:
The blue image is a translation to the red image
Step-by-step explanation:
can u please help me
CAN SOMEONE HELP ME PLZZZZZZZZZZZZ
Answer:
C
Step-by-step explanation:
Find the solution of the system of equations.
x+3y= −10
9x+9y= −18
Answer:
x = 2, y = -4
Step-by-step explanation:
Answer:
Substitution method answer: x=2, y=-4 (2,-4)
Step-by-step explanation:
I will NOT like it with a link thank you
Answer:
It’s b
Step-by-step explanation:
You can plot the points on the graph to test them out . B was the only one that made a rectangle
Please help me (math)
Is it A and B or just A?
Im 99% sure it is not C :)
A savings account starts with $181.25. After 7 years of continuous compounding at an interest rate, r, the account has $1450. What is the interest rate percentage? Round the answer to the nearest hundredth.
Rate of interest by which amount $181.25 becomes $1450 in 7 years by continuous compounding will be 29.71%.
Rule for the continuous compounding: Expression for the final amount comounded continuously is given by,
Final amount = [tex]Pe^{rt}[/tex]
Here, P = Principal amount
r = Rate of interest
t = Duration of investment
Given in the question,
P = $181.25
t = 7 years
Final amount = $1450
Substitute these values in the expression,
[tex]1450=181.25e^{7r}[/tex]
[tex]e^{7r}=8[/tex]
[tex]\text{ln}(e)^{7r}=\text{ln}(8)[/tex]
[tex]7r=2.07944[/tex]
[tex]r=0.2971[/tex]
[tex]r=29.71\%[/tex]
Therefore, rate of intereset for the investment is 29.71%.
Learn more about continuous compounding here,
https://brainly.com/question/13079114?referrer=searchResults
Please answer within the next 7 min, giving 38 points of a ligament answer!
Please I’m dying to know the answer can anyone help me?
Answer:
-1/3x+2y=4
Step-by-step explanation:
Substitute the negative reciprocal.
-1/3x+2y=4
The cost of renting an apartment in the downtown city area is increasing by 4% each year. Currently, the average rent for
a one-bedroom apartment is $500.
Answer:500
Step-by-step explanation:
Karla says following table represents a function,but Robert does not agree Who is correct