Answer:
25%
Step-by-step explanation:
Answer:
D 25%
Step-by-step explanation:
The height of sunflowers is Normally distributed with mean 50 inches and standard deviation 8 inches. Use your calculator's statistical functions to find the percent of all sunflowers that are between 35 and 40 inches tall. Be sure to write your answer as a percent, but don't put the percent symbol. Once in percent form, round to 2 places after the decimal.
Answer:
7.57
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The height of sunflowers is Normally distributed with mean 50 inches and standard deviation 8 inches.
This means that [tex]\mu = 50, \sigma = 8[/tex]
Percent of all sunflowers that are between 35 and 40 inches tall.
As a proportion, this is the pvalue of Z when X = 40 subtracted by the pvalue of Z when X = 35. So
X = 40
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{40 - 50}{8}[/tex]
[tex]Z = -1.25[/tex]
[tex]Z = -1.25[/tex] has a pvalue of 0.1057
X = 35
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{35 - 50}{8}[/tex]
[tex]Z = -1.88[/tex]
[tex]Z = -1.88[/tex] has a pvalue of 0.03
0.1057 - 0.03 = 0.0757
As percent: 0.0757*100% = 7.57%
When a commodity is sold for x dollars per item, the number of items sold is f(x). The item costs 5 dollars to make. The item costs 3 dollars to make.
Required:
a. Express the total profit P in terms of x (the answer has been partially filled in for you).
b. What is the rate of change of the total profit as x changes?
c. If 3000 items sell when the price is 45 dollars and if the number of items that are sold decreases by 600 for every 1 dollar increase in price, find the rate of change of the profit when the item price is 45 dollars.
In this exercise we will use the differential equations to calculate finances, we find that:
a) [tex]Profit = (x - 3)f(x)[/tex]
b) [tex]P' = f(x) + (x - 1) f'(x)[/tex]
c) [tex]P' = 29400[/tex]
The cost of producing the items is the total expenses of production while the revenue is the amount of money generated from selling the item.
a)Then using the given formula and substituting for the known values we find that;
[tex]Cost = \ cost \ of \ producing \ one \ item * number \ of \ items \ produced\\Cost = $3 * f(x) = 3f(x)\\Revenue = selling \ price \ of \ one \ item * number \ of \ items \ produced\\Revenue = x * f(x) = xf(x)\\Profit = Revenue - Cost = xf(x) - 3f(x)\\Profit = (x - 3)f(x)[/tex]
b) Applying knowledge of differential equations we find that:
[tex]P' = d/dx(xf(x) - 3f(x) )\\P' = f(x) + xf'(x) - f'(x)\\P' = f(x) + (x - 1) f'(x)[/tex]
c)Substituting the known values into the formula given above, we find that:
[tex]f(x) = 3000, x = $45, f'(x) = -600 items / 1$\\P' = 3000 + (45 - 1)(-600)\\P' = 3000 + 26400\\P' = 29400[/tex]
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3)
Evaluate the expression 2x-5 when x = 3.
Answer:
1
Step-by-step explanation:
Plug in the x to the original equation given.
2(3)-5
2 times 3 is 6 so then,
6-5 =1
Hey there!
2x - 5
= 2(3) - 5
= 6 - 5
= 1
Therefore, your answer is: 1
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
An electronic office product contains 5100 electronic components. Assume that the probability that each component operates without failure during the useful life of the product is 0.999, and assume that the components fail independently. Approximate the probability that 2 or more of the original 5100 components fail during the useful life of the product. Use normal approximation. Round your answer to 3 decimal places.
Answer:
The probability that 2 or more of the original 5,100 components may fail during the useful life of the product is:
= 0.001
Step-by-step explanation:
Probability of operating without failure = 0.999
The probability of failed component = 0.001 (1 - 0.999)
The number of components of the electronic office product = 5,100
The number of components that may fail, given the above successful operation = 5.1 (0.001 * 5,100).
Therefore, the probability that 2 or more of the original 5,100 components may fail during the useful life of the product = 0.001
Probability of component failure is the likelihood that a component fails during the useful life of the product. It is expressed as the number of likely failed components divided by the total number of components. This result can be left in decimal form or expressed as a percentage.
Following are the solution to the given expression:
[tex]\to \text{p = p (failure)} = 1 -0.999 = 0.001 \\\\[/tex]
We employ the binomial approximation of the normal distribution with mean.
[tex]\to \mu = np = 5100(0.001) = 5.1 \\\\ \to \text{standard deviation} \ (\sigma) = \sqrt{np(1-P)}[/tex]
[tex]= \sqrt{5100(0.001)(1-0.001)} \\\\ = \sqrt{5.1 \times (0.999)} \\\\= \sqrt{5.0949 } \\\\= 2.2572[/tex]
It require [tex]p(x\geq 2)[/tex] but we find [tex]p(x \geq 1.5)[/tex], because of [tex]0.5[/tex] correction.
Here
[tex]\to z = \frac{X-\mu}{\sigma }[/tex]
[tex]=\frac{1.5-5.1}{2.2572} \\\\ =\frac{-3.6}{2.2572} \\\\ = -1.59 \\\\[/tex]
Calculating the required probability:
[tex]\to p(z \geq -1.59)[/tex]
[tex]=1+ p(z< 1.59) \\\\= 1+ 0.9440826[/tex] , by standard normal table
[tex]= 1.9440826 \approx 1.944[/tex]
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Levi invested $160 in an account paying an interest rate of 3% compounded daily.
Assuming no deposits or withdrawals are made, how much money, to the nearest ten
dollars, would be in the account after 8 years?
What is the answer
Answer:
The amount is $200.00 and the interest is $40.00
Step-by-step explanation:
Answer:
200
Step-by-step explanation:
it was the right answer on delta math
Due to environmental considerations, homeowners in a particularly dry area have been asked to use less water than usual. One home is currently using 770
770
gallons per day. This is 710
7
10
of the usual amount of water used in this home.
Answer:
good
those desert people ought to use less water
expand and simplify{x+5}{x+6}
Answer:
hdf'sdfhsd
Step-by-step explanation:
wregfsdfgerwfsfefefsed
A person invested $150 in an account growing at a rate allowing the
money to double every 13 years. How much money would be in the
account after 22 years, to the nearest dollar?
Answer:y=485
y=a(2)^t/d
a=150 d=13 t=22
Step-by-step explanation: y=150(2) 22/13
y=484.759843209
y=485
The rate of the interest on the account is 5.48%. Then the amount of money after 22 years is $485.10.
What is compound interest?Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.
A person invested $150 in an account growing at a rate allowing the money to double every 13 years.
Then the rate will be
[tex]\begin{aligned} 300 &= 150 (1 + r)^{13}\\\\13 \log (1 + r) &= \log 2\\\\\log (1 + r) &= 0.023156\\\\1 + r &= 1.054766\\\\r &= 0.054766 \approx 0.0548 \end{aligned}[/tex]
Then the amount of money after 22 years will be
[tex]\rm Amount = 150(1 + 0.0548)^{22}\\\\Amount = 150 \times 3.234\\\\Amount = \$ \ 485.1[/tex]
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2. Two boxes are being shipped at a facility. One
box weighs 25.09 pounds, and the other box
weighs 25.018. Which box weighs more? Explain
and prove your answer.
Answer:
i think 25.09 weighs more
Step-by-step explanation: well simply 25.018 has more decimal places down therefore making it a smaller number
sorry if you get it wrong :c
Hi please help me as soon as possible:
Rimo spends £588 on a plane ticket and $130 on airport tax. Using £1 = $1.34, what percentage of the total cost does Rimo spend on airport tax?
Give your answer rounded to 1 dp.
PLEASE HURRY I'VE POSTED THREE TIMES THIS QUESTION BUT NO ANSWERS ONLY WATCHERS
Answer:
Percentage = 14.2%
Step-by-step explanation:
Given the following data;
Cost of plane ticket = £588
Airport tax = $130
£1 = $1.34
To find the percentage of the total cost spent on airport tax;
First of all, we would convert the ticket cost in pounds (£) to dollars ($).
Cost of plane ticket = £588 to $ = 588 * 1.34 = $787. 92
Total cost = Cost of plane ticket + Airport tax
Total cost = 787. 92 + 130
Total cost = $917.92
[tex] Percentage \; cost = \frac {130}{917.92} * 100 [/tex]
[tex] Percentage = 0.1416 * 100 [/tex]
Percentage cost = 14.16 to 1 d.p = 14.2%
Therefore, the percentage of the total cost spent on airport tax by Rimo is 14.2 percent.
A car dealership decreased the price of a certain car by 14%. The original price was $48,200.
(a) Fill in the blank to write the new price in terms of the original price.
Write your answer as a decimal.
New price = { x Original price
(b) Use your answer in part (a) to determine the new price.
New price: $0
Answer:
a) New price = 0.86 * Original price
b) New price = 0.86 * 48200 = $41452
Step-by-step explanation:
Which set of ordered pairs represents a function?
o {(-7, -1), (7, -1), (-9,3), (–9, 2)}
{(3,5), (7,9), (4,4), (3,3)}
O {(3,-2), (-7,6), (-5, -8), (3, -6)}
O {(0,2), (-9,7), (-6, -1), (-2,2)}
Answer:
The final set of ordered pairs represents a function.
Step-by-step explanation:
Each X value corresponds to exactly one y- value. Essentially, none of the x values are the same in the final set.
1.Draw Angle POQ of measure 75° and find its line of symmetry
Pls answer with steps
Step-by-step explanation:
you need too look somewhere else
6(x - 1) = 6x - 1
what’s the answer ^^
Answer:
this is an identity which is true for all x values
Step-by-step explanation:
Perform the indicated multiplication. We get:
6x - 1 = 6x -1
and see that this is an identity which is true for all x values.
-ABC
What is A?
What is B2
What is C?
Really need help someone !!!!!!! That’s helpful and good at math !!!!!
Answer A+B=C that is what I know.
Step-by-step explanation:
Answer:
A= Base
B= Exponent (sometimes called Index)
C= Power
Step-by-step explanation:
A= Base
B= Exponent (sometimes called Index)
C= Power
HELP PLEASEEEEEEE WILL GIVE BRAINLIST
Answer:
B) [tex] 10\pi \: cm[/tex]
Step-by-step explanation:
Option B is the correct answer
[tex]A= \pi r^2 [/tex]
[tex]25\pi= \pi r^2 [/tex]
[tex]25= r^2 [/tex]
[tex]\sqrt{25} = r [/tex]
[tex]5\: cm= r [/tex]
[tex]C = 2\pi r [/tex]
[tex]C = 2\pi \times 5[/tex]
[tex]C = 10\pi \: cm[/tex]
Cary earned $56 for 7 hours of babysitting
What is Cary's unit rate for babysitting?
Answer:
$8 an hour
Step-by-step explanation:
56/7= 8
Answer:
$8 per hour.
Step-by-step explanation:
56/7=8
The coordinates of the vertices of triangle ABC are A(9.-10), B(-15, 0), and C(15, 10). A dilation centered at (0, 0) is perfomed on triangle ABC to produce triangle ABC. The coordinates of the vertices of triangle A'B'C' are A' (13.5, -15), B(-22.5, OJ, and C(22.5, 15). Find the scale factor. will mark brainlyst
1 poin
Sylvia is going to buy a new jacket. The regular price is $68.00 and the
jacket is on sale for 25% off. There is a 15% sales tax on the jacket. How
much will Sylvia pay for the jacket? *
86.18
$85.00
$58.65
$61.20
Answer:
58.65 because I just know what the answer is
Ol helvrcrffffcrcrrcffcddcdcr3d
Answer:
C.
Step-by-step explanation:
Figure A is 5 spaces down reflected off of figure B.
12 + 62/3 =
i need this answer ASAP
Answer:
32.66
Step-by-step explanation:
Answer:
32.666
Step-by-step explanation:
Graph the system below and write its solution.
-2x+y=-4
y=1/2x+2
Answer:
(4, 4)
General Formulas and Concepts:
Algebra I
Reading a Cartesian planeCoordinates (x, y)Graphing functionsSolving systems of equations by graphingStep-by-step explanation:
Where the 2 graphs intersect would be the solution set to the systems of equations.
Answer:
x=4
and
y=4
Step-by-step explanation:
let -2x+y=-4 ...1
y=1/2x+2 ...2
putting equation 2 in equation 1 we get,
-2x+(1/2x+2)=-4
opening the brackets we get,
-2x+1/2x+2=-4
(-4x+x)/2=-4-2
-3x/2=-6
-3x=-6×2
-3x=-12
x=-12/-3
x=4
putting value of x in equation 2
y=1/2(4)+2
y=2+2
y=4
hence, x=4 and y=4
A real estate agent has 8 master keys to open several new homes. Only 1 master key will open any given house. If 40% of these homes are usually left unlocked, what is the probability that the real estate agent can get into a specific home if the agent selects 3 master keys at random before leaving the office?
Answer:
Step-by-step explanation:
Suppose F represents the value that a room is unlocked.
Then, we can assume that the probability of unlocked homes is:
P(unlocked homes) = P(U)
P(unlocked homes) = 40%
P(unlocked homes) = 0.40
Also, let us represent the value of the locked room with G.
P(locked homes) = P(G)
P(locked homes) = (1 - 0.40)
P(locked homes) = 0.60
Let the probability of selecting a correct key be P(S)
It implies that for the agent to use 3 keys, we have a combination of [tex]^8C_3[/tex] possible ways for the set of keys.
Now; since only one will open the house, then:
P(select correct key) = P(S)
[tex]P(S) = \dfrac{ (^1_1) (^7_2) }{ ^8_3 }[/tex]
[tex]P(S) = \dfrac{21}{56}[/tex]
P(S) = 0.375
Finally, for the real estate agent to have access to specific homes supposing the agent select three master keys at random prior to the time he left his office, Then:
P(F ∪ (G∩S) = P(F) + P(G∩S)
P(F ∪ (G∩S) = P(F) + P(G) × P(S)
P(F ∪ (G∩S) = 0.40 + (0.60×0.375)
P(F ∪ (G∩S) = 0.40 + 0.225
P(F ∪ (G∩S) =0.625
IT DIVISION ITS NOT ADDING.
Question 2 What is the correct order of operations to complete a math problem?
Find an explicit rule for each geometric sequence using subscript notation. Use a calculator and round your answer to the nearest tenth if necessary.
The fourth term of the sequence is 234. The sixth term is 104.
The explicit rule for the geometric sequence is an =
Answer:
Hence the explicit rule is a(n) 1184.625.
Pictured below is quadrilateral QRST. Which statement is NOT sufficient to prove that QRST
is a rectangle?
Answer:A
Step-by-step explanation: The letters are not in the correct order on letter A and the rest of the answers can prove it.
After a party, 1/3 of a pizza
remains. Rachel eats 1/2 of the
remaining pizza. What fraction of a
pizza does she eat?
The required fraction of the pizza Rachel eat is 1 / 6.
Given that,
After a party, 1/3 of a pizza remains. Rachel eats 1/2 of the remaining pizza. What fraction of a pizza she eat is to be determined.
The technique in mathematics to perform and solve the expression to make the expression simple or more understandable is called simplifying and the process is called simplification.
What is the Ratio?The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Here, remaining pizza = 1 / 3
Rachel eats 1 /2 of the remaining pizza so,
= 1 / 2 * 1 / 3
= 1 / 6
Thus, the required fraction of the pizza Rachel eat is 1 / 6.
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Whats the answer to x^3 y^0 z^-2
Answer:
[tex]\frac{x^3}{z^2}[/tex]
Step-by-step explanation:
There are no given values, therefore we can't determine a definite answer. However, we are able to simplify the expression.
As we all know that any variable or number to the power of 0 is equal to 1. This means that [tex]y^0 = 1[/tex].
We also know that a negative power can bring the variable down and make it a fraction. This means that [tex]z^-^2=\frac{1}{z^2}[/tex]
Now that we got these two sorted we are able to write it in a simplified form.
Answer: [tex]\frac{x^3}{z^2}[/tex]
50 PTS
Simplify Please
Answer:
a) 1 2/9 or 11/9
b) 37.6
c) 37
Step-by-step explanation: