Answer:
45
Step-by-step explanation:
45/5=9
2a + b = 12 (for b)
A. b = 2a + 12
B. b = -2a + 12
C. b + 2a - 12
D. b = -2a - 12
Step-by-step explanation:
2a + b = 12
b= 12 -2a
HOPE IT HELPS YOU
Answer:
B. b = -2a + 12
Step-by-step explanation:
2a + b = 12
subtract 2a from both sides
2a - 2a + b = 12 - 2a
simplify
b = 12 - 2a
This can be rewritten as b = -2a + 12
b = -2a + 12 matches letter choice B
a certain insecticide kills 60% of all insects in laboratory experiments. a sample of 9 insects is exposed to the insecticide in a particular experiment. what is the probability that exactly 5 insects will survive ? round your answer to the nearest ten-thousandth, if necessary.
The probability that exactly 5 insects will survive is approximately 0.0881 or 8.81% (rounded to the nearest ten-thousandth).
The given situation can be modeled as a binomial distribution, where the probability of success (i.e., an insect surviving the insecticide exposure) is 0.4 (since the insecticide kills 60% of insects, the probability of survival is 40%), and the number of trials is 9 (since we are exposing 9 insects to the insecticide).
Using the binomial probability formula, we can calculate the probability of exactly 5 insects surviving as:
P(X = 5) = (9 choose 5) * (0.4)^5 * (0.6)^4
= 0.0881 (rounded to four decimal places)
Therefore, the probability that exactly 5 insects will survive is approximately 0.0881 or 8.81% (rounded to the nearest ten-thousandth).
In summary, the probability of exactly 5 insects surviving out of a sample of 9 insects exposed to an insecticide that kills 60% of insects can be calculated using the binomial probability formula.
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a. List all the factors of 42.
b. What is the greatest common factor of 42 and 15?
C. What is the greatest common factor of 42 and 50?
Ahhhh please help!!!
can so.one help me with these 2 questions please
Answer:
eeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
eeeeeeeeeeeeeeeeeeeeeeStep-by-step explanation:
at the local college, a study found that students earned an average of 9.2 credit hours per semester. a sample of 138 students was taken. what is the best point estimate for the average number of credit hours per semester for all students at the local college?
The average number of credit hours per semester for all students at the local college is 9.2.
It is given that,
at the local college a study sound that students earned an average of 9.2 credit hours per semester.
⇒ x = 9.2 credit hours per semester
Therefore by the central limit theorem,
x = μ = 9.2 credit hours per semester
The central limit theorem states that the distribution of a sample variable approximates a normal distribution as the sample size becomes larger, assuming that all samples are identical in size, and regardless of the population's actual distribution shape.
Therefore the average number is 9.2 credit hours per semester for all students at the local college.
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What is the domain of y=tan 1/2θ ? all real numbers except
nπ/2, where n is an odd integer. all real numbers −π/2 ≤θ≤
π/2 all real numbers except nπ, where n is an odd integer.
The domain of y = tan(1/2θ) is all real numbers except nπ, where n is an odd integer.
The function y = tan(1/2θ) represents a half-angle tangent function. In this case, the variable θ represents the angle.
The tangent function has vertical asymptotes at θ = (nπ)/2, where n is an integer. These vertical asymptotes occur when the angle is an odd multiple of π/2. Therefore, the values of θ = (nπ)/2, where n is an odd integer, are excluded from the domain of the function.
However, the function y = tan(1/2θ) does not have any additional restrictions within the range of -π/2 ≤ θ ≤ π/2. Therefore, all real numbers within this range are included in the domain of the function.
To summarize, the domain of y = tan(1/2θ) is all real numbers except nπ, where n is an odd integer.
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1.Which triangle are acute 2.Which triangles are obtuse 3.Which triangles are scalene 4.Which triangles are isosceles 5.Which triangles are equilateral? 6.Which are right triangles?
Answer:
1.C
2.D
3.all angles need to be different
4.A
5.E
6.B
Step-by-step explanation:
PLZ HELP ASAP 20 POINTS + BRAINLIEST TO FIRST CORRECT ANSWER.
I looked this up on brainly, but people were putting answers without seeing the image so...
A drink was spilled on the math problem shown below.
Ron remembers that the second factor was a decimal. Based on the placement of the decimals in the first factor and the product, which must be true of the second factor?
The decimal could be one-tenth.
The decimal could be two-tenths.
The decimal could be five-tenths.
The decimal could be seven-tenths.
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
cuz it is
Find the general solution for the ODE: xdy - – [y + xy? (1 + Inx)dx ) = 0 3] -
To find the general solution for the given ordinary differential equation (ODE):
xdy - [y + xy^(2)(1 + ln(x))]dx = 0
We can rearrange the terms and separate the variables:
xdy = [y + xy^(2)(1 + ln(x))]dx
Dividing both sides by x and rearranging the terms:
dy/y + y(ln(x) + 1)dx = dx
Now, let's integrate both sides:
∫(dy/y) + ∫[y(ln(x) + 1)]dx = ∫dx
Integrating the left-hand side with respect to y and the right-hand side with respect to x:
ln|y| + y(ln(x) + 1) = x + C
where C is the constant of integration.
We can simplify the equation further:
ln|y| + yln(x) + y = x + C
Combining the logarithmic terms:
ln|y| + yln(x) = x + C - y
To eliminate the logarithm, we can take the exponential of both sides:
e^(ln|y| + yln(x)) = e^(x + C - y)
Using the properties of exponents:
|y| * x^y = e^(x + C - y)
We can rewrite the absolute value expression as a piecewise function:
y * x^y = e^(x + C - y) if y > 0 -y * x^(-y) = e^(x + C - y) if y < 0
So, the general solution to the given ODE is the combination of these two equations:
y * x^y = e^(x + C - y) if y > 0 -y * x^(-y) = e^(x + C - y) if y < 0
These equations represent the family of solutions to the given ordinary differential equation (ODE).
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For the piecewise function, find the values h(- 5), h(0), h(1), and h(4).
Answer:
h(-5) = 2h(0) = 1h(1) = 3h(4) = 6Step-by-step explanation:
You want the value of the piecewise function for various values of x.
Piecewise functionThe first step in evaluating a piecewise function is determining which domain is applicable to the value of x you have. Then you use the corresponding function, evaluating it in the usual way.
h(-5)For x = -5, the applicable domain is x < -3, so the function is ...
h(-5) = -4(-5) -18 = 20 -18
h(-5) = 2
h(0)For x = 0, the applicable domain is -3 ≤ x < 1, so the function is ...
h(0) = 1
h(1), h(4)For x = 1 or 4, the applicable domain is x ≥ 1, so the function is ...
h(1) = 1 +2 = 3
h(4) = 4 +2 = 6
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The Brennan Aircraft Division of TLN Enterprises operates a large number of computerized plotting machines. For the most part, the plotting devices are used to create line drawings of complex wing airfoils and fuselage part dimensions. The engineers operating the automated plotters are called loft lines engineers. The computerized plotters consist of a minicomputer system connected to a 4- by 5-foot flat table with a series of ink pens suspended above it When a sheet of clear plastic or paper is properly placed on the table, the computer directs a series of horizontal and vertical pen movements until the desired figure is drawn. The plotting machines are highly reliable, with the exception of the four sophisticated ink pens that are built in. The pens constantly clog and jam in a raised or lowered position. When this occurs, the plotter is unusable. Currently, Brennan Aircraft replaces each pen as it fails. The service manager has, however, proposed replacing all four pens every time one fails. This should cut down the frequency of plotter failures. At present, it takes one hour to replace one pen. All four pens could be replaced in two hours. The total cost of a plotter being unusable is $50 per hour. Each pen costs $8. If only one pen is replaced each time a clog or jam occurs, the following breakdown data are thought to be valid: Hours between plotter failures if one pen is replaced during a repair Probability 10 0.05 20 0.15 30 0.15 40 0.20 50 0.20 60 0.15 70 0.10 Based on the service manager’s estimates, if all four pens are replaced each time one pen fails, the probability distribution between failures is as follows: Hours between plotter failures if four pens are replaced during a repair Probability 100 0.15 110 0.25 120 0.35 130 0.20 140 0.00 (a) Simulate Brennan Aircraft’s problem and determine the best policy. Should the firm replace one pen or all four pens on a plotter each time a failure occurs?
To determine the best policy for Brennan Aircraft's plotter pen replacement, we can simulate the problem and compare the expected costs for both scenarios: replacing one pen or replacing all four pens each time a failure occurs.
Let's calculate the expected costs for each scenario:
Replacing one pen:
We'll calculate the expected cost per hour of plotter failure by multiplying the probability of each failure duration by the corresponding cost per hour, and then summing up the results.
Expected cost per hour = Σ(Probability * Cost per hour)
Expected cost per hour = (10 * 0.05 + 20 * 0.15 + 30 * 0.15 + 40 * 0.20 + 50 * 0.20 + 60 * 0.15 + 70 * 0.10) * $50
Expected cost per hour = $39.50
Replacing all four pens:
We'll calculate the expected cost per hour using the same method as above, but using the probability distribution for the scenario of replacing all four pens.
Expected cost per hour = (100 * 0.15 + 110 * 0.25 + 120 * 0.35 + 130 * 0.20 + 140 * 0.00) * $50
Expected cost per hour = $112.50
Comparing the expected costs, we can see that replacing one pen each time a failure occurs results in a lower expected cost per hour ($39.50) compared to replacing all four pens ($112.50). Therefore, the best policy for Brennan Aircraft would be to replace one pen each time a failure occurs.
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pleaseeee help!!!!
1. Find the -circumference- of the circle below.
Round your answer to the nearest hundredth (i.e. 2 decimal places).
(there is two questions) same circle
2. Find the -area- of the circle below.
Round your answer to the nearest hundredth (i.e. 2 decimal places).
Do not write the units. Only write the number.
Do not write the units. Only write the number.
Simplify and leave in radical form.
Answer:
Step-by-step explanation:
Expressing in simplest radical form just means simplifying a radical so that there are no more square roots, cube roots, 4th roots, etc left to find. It also means removing any radicals in the denominator of a fraction.
mark me as brill
The area of a square tile is 50 square centimeters. To the nearest tenth of a centimeter, how long is oneside of this tile?
A=50cm
Hint: Use the area of a square and your knowledge of square roots also working steps to complete the following
Answer:
THE ANSWER IS =49
Step-by-step explanation:
PLEASE FOLLOW ME ON BRANIY
What is the value of 5a + 7b if a = 4 and b = 3
Answer:
= 41
Step-by-step explanation:
plug in the numbers for the variables
5(4) + 7(3)
multiply
20 + 21
add together
= 41
Answer:
127≠4
False
Step-by-step explanation:
Find the critical value Za /2 that corresponds to 98% confidence level A. 2.575 B. 2.05 C. 1.75 D. 2.33
Answer:
The critical value Za /2 that corresponds to 98% confidence level is (d) 2.33
Step-by-step explanation:
To obtain the critical value Za/2 that corresponds to a 98% confidence level, we need to determine the value that leaves 2% (0.02) in the tails of the distribution.
Since the confidence level is two-tailed, we need to divide the significance level by 2 to find the area in each tail. In this case, we have 2% divided by 2, resulting in 1% (0.01) in each tail.
Looking up the critical value in a standard normal distribution table or using statistical software, we obtain that the closest value to 0.01 in the table is approximately 2.33.
Therefore, the correct answer is D. 2.33.
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find the measure of angle 1
Answer:
123
Step-by-step explanation:
180-57=123
OK OK ok
Answer:
123°
Step-by-step explanation:
A flat line is 180° so that means 57-180=123 so therefore the angle is 123°
How do you write 0.0045 in scientific notation?
Answer:
\(4.5 x 10^{-3} \\\)Step-by-step explanation:
Nick just received his test back. He scored a 24 out of a possible 60 points. His teacher told him the mean score on the test was a 35, with a standard deviation of 6. What is nick's z-score?
Nick's z -score is -1.833.
According to the given question.
Total points scored by Nick, x = 24
Mean score for the test was, μ = 35
Standard deviation, σ = 6
As, we know that z-score can be caluated by using the formula
z = (x - μ)/σ
Where, x is a score
μ is mean score
σ is standard deviation
z is z-score
Therefore, Nick's z-score is given by
z = (24 - 35)/6
z = -1.833
ence, Nick's z -score is -1.833.
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PLZ HELP ASAP
5. A five-question multiple-cholce quiz has five choices for each answer. Use the random number table provided, with o's representing Incorrect answers and i's representing correct answers, to
answer the following question:
What is the probability of correctly guessing at random exactly one correct answer? Round your answer to the nearest whole number.
27%
10%
15%
7%
simplify 7 √(175)
(no decimal answers accepted)
Answer:
35√(7)
Step-by-step explanation:
I think if it's wrong I'm sorry
[20 Points] Find f(t) for the following function using inverse Laplace Transform. Show your detailed solution: F(s) = 10(s²+1) s² (s + 2)
The inverse Laplace transform of F(s) = 10(s²+1) / [s² (s + 2)] is f(t) = 5t - 5sin(2t) + \(10e^(^-^2^t^).\)
To find the inverse Laplace transform of F(s), we first express F(s) in partial fraction form. The denominator s² (s + 2) can be factored as s² (s + 2) = s² (s + 2). Using partial fraction decomposition, we can express F(s) as:
F(s) = A/s + B/s² + C/(s + 2),
where A, B, and C are constants to be determined.
Next, we multiply both sides of the equation by the common denominator s² (s + 2) to eliminate the denominators. This gives us:
10(s²+1) = A(s + 2) + Bs(s + 2) + Cs².
Expanding and collecting like terms, we have:
10s² + 10 = As + 2A + Bs² + 2Bs + Cs².
Comparing coefficients of s², s, and the constant term on both sides of the equation, we can determine the values of A, B, and C. Solving the resulting system of equations, we find A = 5, B = -10, and C = 0.
Now, we have the expression for F(s) in terms of partial fractions as:
F(s) = 5/s - 10/s² - 10/(s + 2).
To find the inverse Laplace transform of F(s), we use the inverse Laplace transform table to obtain the corresponding time-domain functions for each term. The inverse Laplace transform of 5/s is 5, the inverse Laplace transform of -10/s² is -10t, and the inverse Laplace transform of -10/(s + 2) is \(10e^(^-^2^t^).\)
Finally, we add the inverse Laplace transforms of each term to obtain the solution f(t) = 5t - 5sin(2t) + \(10e^(^-^2^t^)\).
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One lap around the ide lane of a standard track is equal to 400 meters. Brad jogs one lap
around a track in one minute 30 seconds. Assuming he can maintain this pace, how long will it
take him to run a mile? Round your answer to the nearest tenth of a minute.
The time it will take for him to run a mile is given as follows:
2 minutes.
How to obtain the time it will take for him to run a mile?The time it will take for him to run a mile is obtained applying the proportions in the context of this problem.
One lap around the ide lane of a standard track is equal to 400 meters, hence the distance in miles is given as follows:
400 m = 0.4 km = 0.6214 x 0.4 = 0.24856 miles.
This is the distance that he runs in 30 seconds, hence the time needed to run one mile is obtained as follows:
1/0.24856 x 30 = 120.7 seconds = 120.7/60 = 2 minutes.
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Suppose that the weight of sweet cherries is normally distributed with mean μ=6 ounces and standard deviation σ=1. 4 ounces. What proportion of sweet cherries weigh less than 5 ounces? Round your answer to four decimal places
Therefore, approximately 0.2389 or 23.89% of sweet cherries weigh less than 5 ounces.
To find the proportion of sweet cherries that weigh less than 5 ounces, we can use the normal distribution and standardize the value using the z-score formula.
The z-score formula is given by:
z = (x - μ) / σ
where x is the given value, μ is the mean, and σ is the standard deviation.
In this case, we have:
x = 5 ounces
μ = 6 ounces
σ = 1.4 ounces
Calculating the z-score:
z = (5 - 6) / 1.4
z ≈ -0.7143
Using a standard normal distribution table or a calculator, we can find the proportion of values less than -0.7143, which corresponds to the proportion of sweet cherries weighing less than 5 ounces.
The proportion is approximately 0.2389.
Therefore, approximately 0.2389 or 23.89% of sweet cherries weigh less than 5 ounces.
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Jorge is making 6 large salads and 4 small salads how manny cherry tomatoes does he need
Answer:
Illogical
Step-by-step explanation:
Your question is completely illgocal unless you state the number of cheery tomatoes used in 1 or x amounts of large and small salads
Answer:
84
Step-by-step explanation:
We know that Jorge is making 6 large salads and 4 small salads. Each large salad needs 10 cherry tomatoes and each small salad needs 6 cherry tomatoes. 6 large salads need 10 cherry tomatoes.
Xavier, Yosef & Zeke are three brothers. All together they can do 56 push-ups in 3 minutes. Xavier does as many as Yosef and Zeke combined. Zeke does two less than half as many as Yosef does. How many push-ups does Yosef do?
A. 12
B. 28
C. 8
D. 6
E. 20
Here is a list of 27 scores on a Statistics midterm exam: 20, 30, 31, 32, 46, 48, 49, 52, 54, 59, 61, 69, 71, 73, 74, 79, 81, 81, 81, 85, 86, 87, 88, 91, 94, 96, 97 Find Q2- Find Q1
The first quartile of the data set is 48.
Here is a list of 27 scores on a Statistics midterm exam: 20, 30, 31, 32, 46, 48, 49, 52, 54, 59, 61, 69, 71, 73, 74, 79, 81, 81, 81, 85, 86, 87, 88, 91, 94, 96, 97. Find Q2 and Q1.The median is the middle number of a data set arranged in ascending or descending order. There are 27 numbers in this data set. As a result, the median will be the 14th value when sorted in ascending order. The data set is given in ascending order. As a result, the median of the data set is 81. To find the first quartile or Q1 of this data set, the formula below will be used: Q1 = (n+1)/4th term Q1 = (27+1)/4th termQ1 = 7th terTo find the 7th term, the data set must be arranged in ascending order. The 7th term of the data set is 48.Therefore, the first quartile of the data set is 48.
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if 3.142×110 = 345.62, why is the decimal point not infront of the 5?
Answer:
It is not infront of the 5 because when mutiplying it goes above a whole number so the . has to move back.
Step-by-step explanation:
Answer:
It has to be in front of the 5 since you have to move the decimal 2 places to the right and it lands beside the 5
15x=12x+15 whats the angle measures.
Answer:
x = 5 (please read the step by step explanation)
Step-by-step explanation:
So, I'm just going to solve for x because the instructions aren't too clear. I believe there is supposed to be an image attached to it, but seeing as I don't have that, I'll just solve for x and you can plug in with the values.
15x = 12x + 15
Same to both sides:
3x = 15
Isolate x:
x = 5
Just plug in those values and you'll be good to go! Have a good day!
if f(x)=(2x)^2 find f(-4)
Answer:
64
Step-by-step explanation:
1. Plug it in:
(2(-4))^2
2 times -4 is -8
(-8)^2 = 64
So there’s your answer