Answers
The probability of snow given that the temperature is below 32°F is approximately 33.3%. Hence, the correct answer is (A) 33.3%.
To find the probability of snow given that the temperature is below 32°F, we can use conditional probability. The conditional probability of an event A given event B is denoted as P(A|B) and is calculated as the probability of both events A and B occurring divided by the probability of event B occurring.
In this case, event A represents snow and event B represents the temperature being below 32°F.
We are given the following probabilities:
P(snow) = 50%
P(temperature below 32°F) = 60%
P(snow and temperature below 32°F) = 20%
To find P(snow temperature below 32°F), we can use the formula:
P(snow temperature below 32°F) = P(snow and temperature below 32°F) / P(temperature below 32°F)
Substituting the given probabilities, we have:
P(snow temperature below 32°F) = 0.20 / 0.60
P(snow temperature below 32°F) = 1/3
Converting this fraction to a percentage, we get:
P(snow temperature below 32°F) ≈ 33.3%
Therefore, the probability of snow given that the temperature is below 32°F is approximately 33.3%. Hence, the correct answer is (A) 33.3%.
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Related Questions
"What is the rest wavelength of an emission line observed at 2148 nanometers in a galaxy 100
Megaparsecs away from the Milky Way? Your answer should be significant to four digits."
Answers
The rest wavelength of the emission line observed at 2148 nanometers in the galaxy 100 million light-years away is approximately 2103 nanometers.
The rest wavelength of an emission line can be determined by applying the concept of redshift, which is a phenomenon observed in astrophysics where light from distant objects is shifted towards longer wavelengths due to the expansion of the universe.
In this case, the emission line is observed at 2148 nanometers (or 2.148 micrometers) in a galaxy located 100 million light-years away. To calculate the rest wavelength, we need to consider the redshift factor. Redshift, denoted by z, is defined as the observed wavelength divided by the rest wavelength minus 1.
Given that the observed wavelength is 2.148 micrometers and the galaxy is located 100 million light-years away, we need to convert the distance into a redshift factor using the cosmological relationship between redshift and distance. Assuming a standard cosmological model, we can use the Hubble constant to estimate the redshift.
The Hubble constant represents the rate at which the universe is expanding. Taking a typical value of the Hubble constant as 70 kilometers per second per megaparsec, we find that the redshift factor, z, is approximately 0.021.
To determine the rest wavelength, we rearrange the redshift equation as \((observed wavelength) = (1 + z) \times (rest wavelength)\). Substituting the values, we get \((2.148 micrometers) = (1 + 0.021) \times (rest wavelength).\)
Simplifying the equation, we find the rest wavelength to be approximately 2.103 micrometers or 2103 nanometers.
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Enter your answers in the boxes to correctly complete this statement.
We know that 74.94 × 10³ =________
because the number 10³ has ________
zeros when it is written without an exponent.
Answers
what is the measurement of jkl
Answers
Answer:
The angles combined together are 200, so you will have to subtract the difference of 200 and 180 from the combined angles. The angle of line JKL is 160 degrees.
Step-by-step explanation:
Please mark as brainliest!
Answer:
The measure of angle JKL is 97 degrees.
Step-by-step explanation:
Match the system of linear equations on the left with its solution type on the right
1. Y=2x-1
Y=2x+1
2. Y-4x=-2
Answers
Solution for the given System of linear equation is:
Infinite number of solution(2, -3)(-2, 4)Infinite number of solutionWhat are System of equation?Simultaneous equations, system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.
There are four methods to solving systems of equations: graphing, substitution, elimination and matrices.
Given, the system of linear equations on the left with its solution type on the right
For Y=2x-1 and Y=2x+1
Adding both equation, we will get y = 4x
Thus, these equations have infinite number of solution
For 2x - y = 7 and 3x + y = 3
Adding these equations
5x = 10
x= 2
Substitute the value in equation 1
y = -3
Thus, solution is (2, - 3)
therefore, the Solution for the given System of linear equation is:
Infinite number of solution(2, -3)(-2, 4)Infinite number of solutionLearn more about System of equation here:
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Complete question:
Simplify the expression. Square root of -9 • square root of -64
Answers
Answer:
3 i • 8 i (i=negative, otherwise it's just positive) = 24 i
Step-by-step explanation:
First find the square root of -9 and then -64 and then multiply.
Hopefully, this helps you out! If it has any info missing, tell me in the comments below and I'll be happy to help :)
What does the x-intercept represent?A. the selling price of the product that will generate zero dollars in profitB. the amount of increase in the profit for every ten dollar increase in selling priceC. the number of dollars in profit the manufacturer earns from selling their productD. the maximum profit the manufacturer can earn from selling their product
Answers
Given the following question:
The question itself lets us know what the x axis represents, which is what the product sells for.
p(x) we can assume (or it says) represents the yearly profit they make off the product.
The answer is option B the amount of increase in the profit for every ten dollar increase in selling price. As the product goes up in price the amount of profit also goes up, but when the manufacturer sells the product for way too much the profit starts going down, because less people are buying the product.
Your answer is option B.
If you flip two coins 68 times, what is the best prediction possible for the number of times both coins will land on heads?the number of times it will land on tails?
Answers
If you flip two coins 68 times, the best prediction for the number of times both coins will land on heads is 17.
If you flip two coins 68 times, the best prediction for the number of times both coins will land on tails is 17.
What is the probability of getting two heads?The possible outcomes when two coins are flipped are;
head - head = HH
tail - tail = TT
Head and tail = HT
Tail and head = TH
The probability of getting two heads = 1/4
If you flip two coins 68 times, the best prediction for the number of times both coins will land on heads is calculated as;
Expected value = (68 flips) x (1/4 probability of getting HH) = 17
The probability of getting two tails = 1/4
Expected value = 68 x 1/4 = 17
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You can afford a $1050 per month mortgage payment. You've found a 30 year loan at 7% interest.
a) How big of a loan can you afford?
b) How much total money will you pay the loan company?
c) How much of that money is interest?
Answers
(a) Loan you can afford is $143097.67. (b) Total money will you pay the loan company is $378000. (c) Interest amount is $234902.33.
What is Loan interest ?Loan interest is the additional cost that a borrower must pay on top of the principal amount of a loan. Interest is typically expressed as a percentage of the principal and is charged over a specific period of time. The rate of interest charged on a loan is determined by a variety of factors, including the borrower's creditworthiness and the type of loan. The purpose of interest is to compensate the lender for the risk and cost of providing the loan.
Given data:
Principal = $1050 per month
Time = 30 year
= 30 × 12
= 360 months
Interest rate = 8%
= 0.08/12
= 0.006667 monthly
(a) We get here first maximum amount of loan by present value of annuity as
Present value of annuity = principal × \(\frac{1-(1+rate)^{-t} }{rate}\) .........(1)
Put here value we get
value of annuity = 1050 × \(\frac{1-(1+0.006667)^{-360} }{0.006667}\)
value of annuity = $143097.67
(b) Total amount = principal × time period
= $1050 × 360
= $378000
(c) Total amount of interest paid will be
interest amount = total amount paid - loan amount
interest amount = $378000 - $143097.67
interest amount = $234902.33
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solve for x3(x-2)+4=28
Answers
Answer: here’s the answer!
Step-by-step explanation: hope this helps!
Answer:
x=10
Step-by-step explanation:
3(x-2)+4=28
3x-6+4=28
3x-2=28
3x=30
x=10
Which statement describes the solution set of function f? f(x)= 3x^2 - 4x - 2
Answers
Answer:
Vertex form
( 2 /3 , − 10 /3 )
x and y intercepts
Y intercept ( 2 + √ 10 /3 , 0 ) , ( 2 − √ 10/ 3 , 0 )
X intercept ( 0 , − 2 )
Step-by-step explanation:
The correct statement that describes the solution set of the function f is Two real solutions. So, correct option is C.
To determine the solution set of the function f(x) = 3x² - 4x - 2, we can consider the nature of the solutions by examining the discriminant of the quadratic equation.
The discriminant, denoted as Δ, is calculated as b² - 4ac, where a, b, and c are the coefficients of the quadratic equation ax² + bx + c = 0.
In this case, the quadratic equation is 3x² - 4x - 2 = 0. Comparing it to the general form, we have a = 3, b = -4, and c = -2.
The discriminant is given by Δ = (-4)² - 4(3)(-2) = 16 + 24 = 40.
Based on the value of the discriminant (Δ = 40), we can determine the nature of the solutions:
If Δ > 0, there are two distinct real solutions.
If Δ = 0, there is one real solution.
If Δ < 0, there are two complex solutions.
Since Δ = 40, which is greater than 0, the correct statement that describes the solution set of the function f is:
C- Two real solutions.
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Complete question is:
Which statement describes the solution set of function f? f(x) = 3x² - 4x - 2
A- One real solution and one complex solution
B- Two complex solutions
C- Two real solutions
D- One real solution
Would appreciate some help
Answers
Answer:
e) 36x² - 32y³ = (4)(9x² - 8y³)
f) 45a⁴ - 54a³ = (9a³)(5a - 6)
Step-by-step explanation:
e) 36x² - 32y³ = (4)(9x² - 8y³) becuase 4*9 = 36 and 4*8 = 32
f) 45a⁴ - 54a³ = (9a³)(5a - 6) becuase 9*5 = 45 and 9*6 = 54 and when a is multiplied by a³ you get a⁴
(the exponent are added)
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
Solve the equation for the given variable 11=−4x+3
Answers
Answer: x=-2
Step-by-step explanation:
Given
11=-4x+3
Subtract 3 on both sides
11-3=-4x+3-3
8=-4x
Divide -4 on both sides
-4x/-4=8/-4
x=-2Answer: x=-2
Step-by-step explanation:
Subtract 3 from both sides
1) 8= -4x
2) Isolate the variable (divide -4 on both sides)
3) X=-2
Male Color Blindness
Approximately 9% of men have a type of color blindness that prevents them from
distinguishing between red and green. If 3 men are selected at random, find the
probability that all of them will have this type of red-green color blindness.
Answers
Answer:
About 0,3? Could go higher but the middle answer ( highest probability) is correct to me.
Step-by-step explanation:
On a recent survey from Starbucks, 4200 people were asked their age. The mean age was found to be 28 years with a standard deviation of 18 months. Assume that the data is normally distributed and use the 68-95-99.7 Rule to answer the following questions. a) Of those surveyed, about how many people are at least 26.5 years old? people b) of those surveyed, about how many people are less than 26.5 years old? people
Answers
a) Approximately 84% of the people are at least 26.5 years old. So, about 3528 people (0.84 * 4200).
b) Approximately 16% of the people are less than 26.5 years old. So, about 672 people (0.16 * 4200).
How to solvea) 26.5 years is 1.5 years (18 months) less than the mean (28 years). This is 1 standard deviation (18 months) below the mean.
The 68-95-99.7 Rule states that 68% of the data falls within 1 standard deviation of the mean. So, 100% - 68% = 32% is outside 1 standard deviation.
Since it's symmetrical, one-half of that 32% (16%) is less than 26.5 years, and the other half (16%) is older than 29.5 years.
Consequently, 100% - 16% = 84% is over 26.5 years old. If you multiply 0.84 by 4200, you get 3528 people.
b) As calculated earlier, 16% of the people are less than 26.5 years old. 0.16 * 4200 = 672 people.
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The rate in the portion formula is not always expressed with a percent symbol?
Answers
That's correct. The rate in the portion formula can be expressed as a decimal, fraction, or percentage, depending on the context and what is most convenient for the problem being solved.
What is the proportional and ratio formula?How do you calculate ratio and proportion? Ans: The ratio formula is written as a: b a/b for any two numbers. Contrarily, the percentage formula is written as a:b::c:da:b::c:da:b=cd.
What does a ratio example look like?An equation in which two ratios are made equal is known as a percentage. As an illustration, you could express the ratio as 1: 3 if there is 1 guy and 3 girls (for every one boy there are 3 girls) 1 out of 4 are boys, and 3/ 4 are girls.
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Graph the system of equations on your graph paper to answer the question.
{y=x−4y=−x+6
What is the solution for this system of equations?
Answers
Answer: (5 , 1)
Step-by-Step explanation:
hihi your problem is a system of question y = x-4 and y = -x+6 okay so graph them both normally and then find the point where they intersect which is gonna be a coordinate point, and that's your solution !!
y = x-4
the y intersect is going to be 4
the slope is a positive 1 , going up to the right, through the positive quadrant, line is facing to the right
y = -x+6
the y intersect is going to be -6
the slope is going to be a -1 , following up the opposite way the line is going to face the left
once you graph them both you'll see the point of intersection, the solution
make sure you drew your lines very clearly !!!!
the solution is x = 5 and y = 1 which is also (5 , 1)
hopefully this was helpful !
A child has $9.30 in a piggy bank. If the child spends 13 of the money on a snow cone and then finds $0.75 to put in the piggy bank, how much money does the child now have in the piggy bank?
Answers
The child will have $9.92 in his piggy bank.
What is basic arithmetic operations?
Basic arithmetic operations are the foundation of mathematics and include addition, subtraction, multiplication, and division. These operations are used to perform mathematical calculations and are necessary for solving a wide range of problems, from simple arithmetic problems to more complex mathematical equations.
The child has $9.30 and spends $0.13 on a snow cone, so their piggy bank balance becomes $9.30 - $0.13 = $9.17.
After finding $0.75 to put in the piggy bank, the child now has $9.17 + $0.75 = $9.92 in their piggy bank.
Hence, the child will have $9.92 in his piggy bank.
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What is the value of lim x 1 (x2-1/ x-1 )?
A. 1
B. 2
C. 3
D. 4
Answers
Answer:
2
Step-by-step explanation:
1. A. What is the formula for the Pythagorean Theorem? (1 point)
B. Find the missing leg of the triangle using the Pythagorean Theorem. Remember that drawings may not be to scale (Round to the nearest tenth).
Show your work. (4 points)
20 ft
18 ft
x
Answers
Answer:
side 1^2 + side 2 ^2 = hypotenuse ^ 2
18^2 + 20^2 = hypotenuse^2
324 + 400 = 724
hypotenuse^2 = 724
hypotenuse = 26.9072480941474
hypotenuse = 26.9
Step-by-step explanation:
What is the x intercept of the graph of the inequality 2x + 3y > 12
Answers
Answer: x intercept = 6
This is the location (6,0)
===============================================================
Explanation:
I assume you're talking about the boundary line of the inequality. The boundary line equation is 2x + 3y = 12
To find the x intercept, plug in y = 0 and solve for x
2x + 3y = 12
2x + 3(0) = 12
2x = 12
x = 12/2
x = 6
The boundary line 2x+3y = 12 crosses the x axis at x = 6.
We can say the x intercept is x = 6. This is the location (6,0).
Side note: the y intercept is y = 4, which is found by plugging in x = 0 and solving for y.
I have to do step by step why the answer of (5x - 1) (5x - 1) is 25x^2 - 10x + 1.
How do i do it?
(5x - 1) (5x - 1)
Ans: 25x^2 - 10x + 1
Answers
Answer:
(5x - 1)(5x - 1) = 25x² - 10x + 1
Step-by-step explanation:
Let us solve the question step by step
We need to find the product of (5x - 1) and (5x - 1)
The first step multiply 1st term in 1st bracket by 1st term in 2nd bracket (5x by 5x)∵ 5 × 5 = 25
∵ x × x = \(x^{1+1}\) ⇒ multiply same base means add their powers
∴ x × x = x²
∴ 5x × 5x = 25x²
The second step multiply 1st term in 1st bracket by 2nd term in 2nd bracket (5x by -1)∵ 5x × -1 = (5 × -1)x
∴ 5x × -1 = -5x
The third step multiply 2nd term in 1st bracket by 1st term in 2nd bracket (-1 by 5x)∵ -1 × 5x = (-1 × 5)x
∴ -1 × 5x = -5x
The fourth step multiply 2nd term in 2nd bracket by 2nd term in 2nd bracket (-1 by -1)∵ -1 × -1 ⇒ (-)(-) = (+)
∴ -1 × -1 = 1
The fifth step add them up∵ (5x - 1)(5x - 1) = 25x² + -5x + -5x + 1
∵ -5x and -5x are like term, then add their coefficients
∵ -5x + -5x = (-5 + -5)x
∴ -5x + -5x = -10x
∴ (5x - 1)(5x - 1) = 25x² + -10x + 1
∵ (+)(-) = (-)
∴ (5x - 1)(5x - 1) = 25x² - 10x + 1
Could someone please help here in so lost
Answers
Answer:
x=3
(26x+50degreese) = 134 degreese
Step-by-step explanation:
If one gallon of water weights 8 gallons, how much does 4.5 cubic feet of water weigh?
Answers
Answer:
36 gallons
Step-by-step explanation:
All I need is number one
Answers
Answer:
a. 7 ÷ 4 yes
b. 4 ÷ 7 no
c. \(\frac{7}{4}\) yes
d. \(\frac{4}{7}\) no
e. 7 × \(\frac{1}{4}\) yes
f. \(1\frac{3}{4}\) yes
Step-by-step explanation:
hope this helps ^^
Please help. What is the solution to this system of equations using the linear combination method? {5x+y=24x+y=5 (0, 2) begin ordered pair 0 comma 2 end ordered pair. (−3, 17) begin ordered pair negative 3 comma 17 end ordered pair. (1, −8) begin ordered pair 1 comma negative 8 end ordered pair. (−2, 12)
Answers
If , n^-3 = 1/8 then n would be which of the following? -1/2 -2 2 1/2
Answers
Answer:
2
Step-by-step explanation:
\( {n}^{ - 3} = \frac{1}{8} \\ \\ {n}^{ - 3} = \frac{1}{ {2}^{3} } \\ \\ {n}^{ - 3} = {2}^{ - 3}.. (\because \frac{1}{a^n} = a^{-n}) \\ \\ n = 2 \\(\because exponents \: are \: same\: hence\: \\bases\: will \: also\: be\: equal) \)
Answer:
n = 2
Step-by-step explanation:
\(n^{-3} = \frac{1}{8}\\\\ = \frac{1}{2^{3}}\\\\ = 2^{-3}\\\)
Therefore, n= 2
A number or variable with negative exponent is represented by positive exponent by taking its reciprocal and vice versa
\(a^{-n} = \frac{1}{a^{n}}\)
Find the 3rd term in the expansion of ( 5 � − 7 � ) 3 (5x−7y) 3 in simplest form.
Answers
The third term in the expansion of the expression (5x - 7y)³ is 735xy².
Given expression is,
(5x - 7y)³
We have to expand this.
We know that,
(a + b)³ = a³ - 3a²b + 3ab² - b³
Using this,
(5x - 7y)³ = (5x)³ - (3 × (5x)² × 7y) + (3 ×(5x) × (7y)²) - (7y)³
= 125x³ - (3 × 25x² × 7y) + (3 × 5x × 49y²) - 343y³
= 125x³ - 525x²y + 735xy² - 343y³
Here the third term is 735xy².
Hence the third term is 735xy².
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You are saving to buy a new car. You currently have $500. You need $1200 to
purchase the car you want and you make $11.50 an hour babysitting.
PLEASE HELP
Answers
700=11.50x
Then divide 11.50 both sides
What is the correct integer to represent a withdrawal of 10 dollars?
Answers
Answer:
-10 or -$10
Step-by-step explanation:
The 10 would be negative, due to taking away 10 instead of adding it.
David rented a truck for one day. There was a base fee of $17.99, and there was an additional charge of 84 cents for each mile driven. David had to pay $250.67 when he returned the truck. For how many miles did he drive the truck?
Answers
Answer:
277 miles
Step-by-step explanation: