Answer:
The probability that the town has 30 or fewer residents with the illness = 0.00052.
Step-by-step explanation:
So, we have the following set of data or information or parameters given from the question above and they are; the number of people living in that particular society/community/town = 74,000 residents and the proportion of people that the diseases affected = .000215.
The first step to do is to determine the expected number of people with disease. Thus, the expected number of people with disease = 74,000 × .000215 = 15.91.
Hence, the probability that the town has 30 or fewer residents with the illness = 1.23 × 10^-7 × 15.91^30/ 2.65253 × 10^-32 = 0.00052.
Note the formula used in the calculating the probability that the town has 30 or fewer residents with the illness = e^-λ × λ^x/ x!
PLEASE HELP I HAVE TO GET THIS DONE
Answer: so the answer is A
Step-by-step explanation: -3/2
if you ever have a question like that again go to Math-way it is every helpful and easy.
The number A8 is a two-digit number with a digit A and units (ones) digit 8.
Similarly, 3B is a two-digit number with tens digit 3 and units digit B.
When A8 is multiplied by 3B, the result is the four digit number 0730. That is,
A8
x 3B
C730
If A, B, and C are each different digits from 0 to 9, determine the values of A.
B. and C.
Answer:
A = 7
B = 5
C = 2
Step-by-step explanation:
We are given;
A8 × 3B = C730
Now, by inspection, in multiplication of the above, the product of 8 and B must produce a number whose unit digit is 0.
Thus,the only two single digit numbers that can fit this description for B is either 5 or 0 since if they would yield a unit digit of 0 when multiplied by8.
Now, let's test 0.
If B is 0, it means the unit digit of C730 is 0 as wanted while the remaining product of A8 and 3 should yield C73. Now product of A8 and 3 would produce a number with a last digit of 4. But our last digit there in C73 is 3. Thus, it means B cannot be 0 but is 5.
Thus, it means 3B is 35.
Now, we are told that A, B and C could be any single digit number.
from 0 - 9.
Thus, the maximum value of A is 9.
Let's try to put 9 for A and multiply by 35.
If A is 9,then 98 × 35 = 3430
It means that the maximum value of C is 3.
Thus, C can either be 3 or less than 3. So, C is either 1, 2, or 3
Now, if C = 1, it means the C730 is now 1730.
Thus,A8 will be: 1730/35 = 49.43
This is a decimal and thus, it means C ≠ 1.
Now,if C = 2, it means the C730 is now 2730.
Thus,A8 will be: 2730/35 = 78
This is a whole number and thus, it means C = 2
Now,if C = 3, it means the C730 is now 3730.
Thus,A8 will be: 3730/35 = 106.57
This is a decimal and thus, it means C ≠ 3
Thus; A8 is 78 when C = 2
So, A = 7
Answer this please?
Answer:
2
Step-by-step explanation:
you just divide 8 by 4 love:)
Kailey correctly graphed the opposite of –3.3 on the number line.
A number line going from negative 5 to positive 5. Point A is between negative 4 and negative 3, point B is between negative 3 and negative 2, point C is at 3.3, and point D is at 3.9.
Answer:
C
Step-by-step explanation:
I hope this helps!
Answer:
c
Step-by-step explanation:
Simplify.
35+(−14)710
Enter your answer as fraction in simplest form by filling in the boxes.
$$
Answer:
1/2
Step-by-step explanation:
how many milligrams of the drug are in your blood after 2 day?
Answer: 31 milligrams
Step-by-step explanation: As you can see on the chart you attached, 48 hrs equals 31 mg. One day is 24 hours, so that would mean two days in 48 hrs.
Which steps can be used to verify that tan(w + Pi) = tan(w)? Rewrite tan(w + Pi) as tan(w) + tan(Pi). Then simplify the expression using tan(Pi) = 1. Rewrite tan(w + Pi) as tan(w) + tan(Pi). Then simplify the expression using tan(Pi) = 0. Rewrite tan(w + Pi) using the tangent sum identity. Then simplify the resulting expression using tan(Pi) = 1. Rewrite tan(w + Pi) using the tangent sum identity. Then simplify the resulting expression using tan(Pi) = 0.
Answer:
Rewrite tan(w + Pi) using the tangent sum identity. Then simplify the resulting expression using tan(Pi) = 0
Step-by-step explanation:
According to tangent sub identity
Tan(A+B) = TanA+TanB/1-tanAtanB
Applying this in question
Tan(w+Pi) = tan(w)+tan(pi)/1-tan(w)tan(pi)
According to trig identity, tan(pi) = 0
Substitute
Tan(w+Pi) = tan(w)+0/1-tan(w)(0)
Tan(w+Pi) = tan(w)/1
Tan(w+Pi) = tan(w) (proved!)
Hence the correct option is
Rewrite tan(w + Pi) using the tangent sum identity. Then simplify the resulting expression using tan(Pi) = 0
The given expression can be prove by using tangent sub-identity. In the solution we will use [tex]\tan (A+B)[/tex] sub-identity.
The correct option is Rewrite tan(w + Pi) using the tangent sum identity. Then simplify the resulting expression using tan(Pi) = 0.
Given:
The given expression is as follows,
[tex]\tan(w+\pi)=\tan(w)[/tex]
Write the tangent sub-identity.
[tex]\tan(A+B)=\dfrac{\tan A+\tan B}{1-\tan A\tan B}[/tex]
Now replace [tex]A[/tex] with [tex]w[/tex] and [tex]B[/tex] with [tex]\pi[/tex].
[tex]\tan(w+\pi)=\dfrac{\tan w+\tan \pi}{1-\tan w\tan \pi}[/tex]
Substitute 0 for [tex]\tan \pi[/tex].
[tex]\tan(w+\pi)=\dfrac{\tan w+0}{1-\tan w\times 0}\\\tan(w+\pi)=\tan w[/tex]
Thus, the correct option is Rewrite tan(w + Pi) using the tangent sum identity. Then simplify the resulting expression using tan(Pi) = 0.
Learn more about tangent sub-identity here:
https://brainly.com/question/1561928
How many solutions does this problem have 7(y+3)=5y+8
Answer:
7(y+3)=5y+8
y= -3/2 One solution
Step-by-step explanation:
Please help!!
x^2-2x+1-9y^2
Answer:
[tex]\left(x-1+3y\right)\left(x-1-3y\right)[/tex]
Step-by-step explanation:
[tex]x^2-2x+1-9y^2\\\\factor(skip for time)\\\\\left(x-1\right)^2-9y^2\\\\[/tex]
A little algebra process later...
you got the answer
Hoped this helped ya
<3
RedAnswer:
(x-1-3y) x (x-1+3y)
Step-by-step explanation:
x^2-2x+1-9y^2
Using a^2 - 2ab + b^2 = (a-b)^2 (factor the expression) = (x-1)^2 - 9y^2
(x-1)^2 - 9y^2 = (x-1-3y) x (x-1+3y) should be the answer :)
Brooke paid $45 for a course on candle-making. She spent $106 for wax and supplies, but later she returned one $8 candle mold. How much money did Brooke spend?
Answer:
143 i think
Step-by-step explanation:
45+ 106= 151
151 - 8 = 143
Answer:
$143
Step-by-step explanation:
106+45= 151
151-8=143
Norbert’s Nursery is having a sale. Flats of flowers are priced as marked, including tax. Jake buys 2 flats of petunias at $5.25, 3 flats of daisies at $7.65, and 1 flat of begonias at $8.40. If he pays with a $50 bill, how much change should Jake receive?
Answer:
I am a student. Jake should receive 8.15 dollars in change. Please pick me brainliest! I am new to this website and I wanna help.
Step-by-step explanation:
Each picture shows how a mapping, f, maps elements of a domain onto a range.
Which mapping, f, is NOT a function?
Domain
Range
Domain
Range
-6
2.
5
6 00
4
7
7
1
9
8
Domain
Range
Domain
Range
5
4
2
→8
7
2
Answer:
Top left
Step-by-step explanation:
If an x value (domain) leads to more than one y-value (range), it is not a function. In other words, if each input value leads to only one output value, it is a function. It's still a function if the y-value leads to multiple x-values.
.What is 20/24(twenty-twenty fourths) to its most simplified form?
You are offered the following gamble:
Flip two fair coins. If at least one head comes up, you win $12. If not, you lose $24. What is the expected value of this gamble?
Answer:
$3
Step-by-step explanation:
Flipping two fair coins :
Sample space :
{TH, HT, TT, HH}
Atleast one head = 12
If not = - 24
Probability of atleast one head = 3/4
If not ; probability of 2 tails = 1/4
Hence,
X ______12 ______ -24
P(x) ___0.75 ______0.25
Expected value for of gamble E(x) :
Σx * p(x) = (12 * 0.75) + (-24 * 0.25)
E(x) = 9 - 6
E(x) = 3
Expected value of gamble = $3
in the diagram, PSR is a straight line. Calculate the value of X and Y.
(easy questions :) HELPPPPPP !!!!
Answer:
x = 56 degrees, y = 32 degrees
Step-by-step explanation:
The Isosceles Triangle Theorem (ITT) tells us that if there are two sides of a triangle that are congruent, then the base angles of this triangle are congruent (angles opposite the congruent sides).
Let's focus on Triangle PQS first. We have the acute angle 68° and want to find x. Due to the ITT, we know that the other missing angle must also equal x.
Therefore, we can create an equation where the interior angles of Triangle PQS will add up to 180, because all interior angle measures of a triangle add up to 180 degrees.
68 + x + x = 180Combine like terms.
68 + 2x = 180Subtract 68 from both sides of the equation.
2x = 112Divide both sides the equation by 2.
x = 56We have found that x = 56 degrees, and now we need to find y. We can do so by using the information we have already found. Since we have found the two angles x of Triangle PQS, we can find ∠QSR in Triangle QSR by using the idea that angles that make up a straight line must add up to 180 degrees.
Therefore:
∠PSQ + ∠QSR = 180We have found that ∠PSQ = 56, so substitute this value into the equation.
56 + ∠QSR = 180Subtract 56 from both sides of the equation.
∠QSR = 124Now we can use the fact that all interior angle measurements of a triangle add up to 180 degrees, and since we have 2 angle measures of Triangle QSR, we can create an equation to solve for y.
124 + 24 + y = 180Combine like terms.
148 + y = 180Subtract 148 from both sides of the equation.
y = 32We have found x = 56 degrees and y = 32 degrees.
Answer:
X= 56 °Y= 32 °Hope this helps
Your test scores in one class are 78 and 86. What possible scores can you earn on your next test to have a test average between 82 and 88, inclu
Your score on the third test must be between and inclusive?
Answer:
85
Step-by-step explanation:
Paul is a married taxpayer and claims 2 withholding allowances. He earns $575 per week. He estimates that he will spend $50 each week in qualified expenses. If he participates in his employer's cafeteria plan and has the $50 per week deducted from his wages before taxes, how much will he save in one year of working in federal income and FICA taxes?
Answer:
i need help too
Step-by-step explanation:
...
the half life of c14 is 5730 years. Suppose that wood found at an archeological excavation site contains about 35% as much C14 as does living plant material. Determine when the wood was cut
Answer:
The wood was cut approximately 8679 years ago.
Step-by-step explanation:
At first we assume that examination occured in 2020. The decay of radioactive isotopes are represented by the following ordinary differential equation:
[tex]\frac{dm}{dt} = -\frac{m}{\tau}[/tex] (Eq. 1)
Where:
[tex]\frac{dm}{dt}[/tex] - First derivative of mass in time, measured in miligrams per year.
[tex]\tau[/tex] - Time constant, measured in years.
[tex]m[/tex] - Mass of the radioactive isotope, measured in miligrams.
Now we obtain the solution of this differential equation:
[tex]\int {\frac{dm}{m} } = -\frac{1}{\tau}\int dt[/tex]
[tex]\ln m = -\frac{1}{\tau} + C[/tex]
[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex] (Eq. 2)
Where:
[tex]m_{o}[/tex] - Initial mass of isotope, measured in miligrams.
[tex]t[/tex] - Time, measured in years.
And time is cleared within the equation:
[tex]t = -\tau \cdot \ln \left[\frac{m(t)}{m_{o}} \right][/tex]
Then, time constant can be found as a function of half-life:
[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex] (Eq. 3)
If we know that [tex]t_{1/2} = 5730\,yr[/tex] and [tex]\frac{m(t)}{m_{o}} = 0.35[/tex], then:
[tex]\tau = \frac{5730\,yr}{\ln 2}[/tex]
[tex]\tau \approx 8266.643\,yr[/tex]
[tex]t = -(8266.643\,yr)\cdot \ln 0.35[/tex]
[tex]t \approx 8678.505\,yr[/tex]
The wood was cut approximately 8679 years ago.
Solve 9/11 + 3/13 × 26/33 - (21/121÷ 71/111)
Answer:
0.72 or 0.72866953788 0.7 0.72866953788
what are the factors of
8c^2+ 10c – 7
Dalin is 16 years old hey sister is 3/4 of his age How old is his sister
Answer:
12
Step-by-step explanation:
if 4x4 is 16 and we want to know what is 3/4 of that then we can easily just subtract 4 from it
Answer:
The guy above me is right.
Step-by-step explanation:
Write as the sum and/or difference of logarithms. Express powers as factors \log _4\left(\sqrt{\frac{mn}{19}}\right). g
Answer:
[tex]f = \log_{4}\left(\sqrt{\frac{m\cdot n}{19}}\right)[/tex] is equivalent to [tex]f = 0.5\cdot \log_{4} m + 0.5\cdot \log_{4}n -0.5\cdot \log_{4}19[/tex].
Step-by-step explanation:
Let be [tex]f = \log_{4}\left(\sqrt{\frac{m\cdot n}{19}}\right)[/tex], we transform this into an equivalent expression with sums and differences of logarithms by applying logarithm properties:
1) [tex]\log_{4}\left(\sqrt{\frac{m\cdot n}{19}}\right)[/tex] Given.
2) [tex]\log_{4}\left[\left(\frac{m\cdot n}{19} \right)^{0.5}\right][/tex] Definition of square root.
3) [tex]0.5\cdot \log_{4}\left(\frac{m\cdot n}{19} \right)[/tex] [tex]\log_{a} b^{c} = c\cdot \log_{a} b[/tex]
4) [tex]0.5\cdot (\log_{4}m\cdot n -\log_{4} 19)[/tex] [tex]\log_{a} \frac{b}{c} = \log_{a} b - \log_{a} c[/tex]
5) [tex]0.5\cdot \log_{4} m\cdot n -0.5\cdot \log_{4} 19[/tex] Distributive property.
6) [tex]0.5\cdot (\log_{4}m + \log_{4}n)-0.5\cdot \log_{4}19[/tex] [tex]\log_{a} b\cdot c = \log_{a}b +\log_{a} c[/tex]
7) [tex]0.5\cdot \log_{4} m + 0.5\cdot \log_{4}n -0.5\cdot \log_{4}19[/tex] Distributive property/Result.
[tex]f = \log_{4}\left(\sqrt{\frac{m\cdot n}{19}}\right)[/tex] is equivalent to [tex]f = 0.5\cdot \log_{4} m + 0.5\cdot \log_{4}n -0.5\cdot \log_{4}19[/tex].
What polyhedron can be assembled from this net? Explain how you know.
Find the surface area of this polyhedron. Show your reasoning.
Answer:
It would be a triangular prism.
Step-by-step explanation:
We know this because of the two triangles at the top and bottom of this net and the rectangle connecting them. Then, if you imagine folding the second rectangle up, it would be one of the triangle's sides. Lastly for the third rectangle, it would be folded over the two triangles to finish the shape.
I hope this helps!!
Answer:
It would be a triangular prism
Step-by-step explanation:
If they ask how you got that say since the triangles at the top and bottom are both parell and to be a prim you need to have parell sides
YOUR TURN
Find the length and width of the actual room, shown in
the scale drawing. Then find the area of the actual room.
Round your answer to the nearest tenth.
Answer:
[tex]Width: \frac{3in}{8ft} = \frac{5in}{x} (cross multiply)[/tex]
= [tex]40[/tex] ÷3 ≈ 13.3ft
[tex]Width: \frac {3in}{8ft} = \frac{6.5in}{x}[/tex]
= 17.3
[tex]A=e[/tex] × [tex]w[/tex]
[tex]= 13.3[/tex] × [tex]17.3[/tex] ≈ [tex]230.09[/tex] ≈ [tex]230.1[/tex]
Order 51.835, 51.836, 51.736, and 51.837 in decreasing order.
Answer:
D.)51.837, B.)51.836, A.)51.835, C.)51.736
Step-by-step explanation:
its decreasing in this order
Answer:
51.837 > 51.836 > 51.835 > 51.736
Between which two numbers is 3 located on a number line?
Answer: -2 and -1
You have the correct answer.
In Evans history class, 10 out of 100 key terms will be randomly selected to appear on the final exam; Evan must then choose 7 of those 10 to define. Since he knows the format of the exam in advance, Evan is trying to decide how many key terms he should study. (a) Suppose that Evan decides to study s key terms, where s is an integer between 0 and 100. Let X be the number of key terms appearing on the exam that he has studied. What is the distribution of X? Give the name and parameters, in terms of s. (b) Calculate the probability that Evan knows at least 7 of the 10 key terms that appear on the exam, assuming that he studies s = 75 key term
Answer:
(a) Hypergeometric distribution
(b) 0.785384...
Step-by-step explanation:
(a) looking at the question, we see that [tex]X = \in \{0, ... , 10 \}[/tex], suppose Evans studied s key terms, this implies that he has not studied 100 - s key terms. Suppose [tex]k = \in \{0, ... , 10 \}[/tex] if X = k, then k out of the s key terms he had studied appeared. But 10 - k out of 100 - s key terms he hasn't studied appeared. Thus X is an Hypergeometric distribution, X~HGeom(s, 100 - s, 10) with PMF:
[tex]P_{x}(k) = P(X = k)[/tex]
Explain how the distributive property helps us multiply the following polynomials and why and how the final products differ:(a + b)^2,(a – b)^2,(a - b)(a + b)
Answer:
because you have to distrubute the 2 to the letters inside the () or else youll get a diff answer thats wrong
Step-by-step explanation:
Carlos purchased an antique chair for $56.
He later sold the chair for $68 to an antique
dealer. What was the percent markup of the
chair?
Answer:
about 22 percent
Step-by-step explanation:
Find all relative extrema and classify each as a maximum or minimum. Use the second-derivative test where possible. f(x) = 125x 3 − 15x + 8
Answer:
The following classification is found:
[tex](0.2, 6)[/tex] - Absolute minimum
[tex](-0.2, 10)[/tex] - Absolute maximum
Step-by-step explanation:
Let be [tex]f(x) = 125\cdot x^{3}-15\cdot x + 8[/tex], we need to find first and second derivatives of this expression at first:
First derivative
[tex]f'(x) = 375\cdot x^{2}-15[/tex] (Eq. 1)
Second derivative
[tex]f''(x) = 750\cdot x[/tex] (Eq. 2)
Critical points are points that equals first derivative to zero and that may be maxima or minima. That is:
[tex]375\cdot x^{2} -15 = 0[/tex]
[tex]x = \pm \sqrt{\frac{15}{375} }[/tex]
Which leads to the following critical points:
[tex]x_{1}\approx 0.2[/tex] and [tex]x_{2} \approx -0.2[/tex]
Now we evaluate each result in second derivative expression:
[tex]f''(x_{1}) = 750\cdot (0.2)[/tex]
[tex]f''(x_{1})=150[/tex] (Absolute minimum)
[tex]f''(x_{2})= 750\cdot (-0.2)[/tex]
[tex]f''(x_{2}) = -150[/tex] (Absolute maximum)
Lastly we evaluate the function at each critical point:
[tex]f(x_{1})= 125\cdot (0.2)^{3}-15\cdot (0.2)+8[/tex]
[tex]f(x_{1})= 6[/tex]
[tex]f(x_{2})= 125\cdot (-0.2)^{3}-15\cdot (-0.2)+8[/tex]
[tex]f(x_{2}) = 10[/tex]
And the following classification is found:
[tex](0.2, 6)[/tex] - Absolute minimum
[tex](-0.2, 10)[/tex] - Absolute maximum