The number of small air bubbles per 3 feet by 3 feet plastic sheet has a Poisson distribution with a mean number of two per sheet. What percent of these sheets have no air bubbles
Answers
The percentage of the sheets with no air bubbles is given as follows:
13.53%.
What is the Poisson distribution?In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following mass probability function:
\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)
The parameters are listed and explained as follows:
x is the number of successes that we want to find the probability of.e = 2.71828 is the Euler number\(\mu\) is the mean in the given interval or range of values of the input parameter.The mean for this problem is given as follows:
\(\mu = 2\)
The proportion of these sheets with no air bubbles is P(X = 0), hence it is given as follows:
P(X = 0) = e^-2 = 0.1353 = 13.53%.
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Related Questions
three numbers have absolute values of 2, 4, and 6. The product of all the numbers is positive.
Find the product.
Answers
Answer:
i must say product means we have to multiple 2×4×6 that give 48
Step-by-step explanation:
happy Halloween
What is the square root of 45
Answers
Answer: 3√5
If you flip a coin 2 times, what is the best prediction possible for the number of times it will land on tails?
Answers
The probability that it would have to land on tails is 1
How to solve for the probabilityThe coin is known to have two sides.
The two sides of a coin are the head and the tail
the probability of head is given as 50 percent
The probability of tail is also given as 50 percent
Given that the coin is going to be flipped two times, the probability that it would have to land on tail is given as
2 * 50 percent
= 2 * 0.5
= 1
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If I get a bad grade I will fail the grade.
Answers
Explanation:
Vertical opposite are equal.
The vertical opposite of angle 4 is 57.
<4 = 2x - 7
57 = 2x - 7
57 + 7 = 2x
64 = 2x
x = 64/2
x = 32
Suppose a golf club company has designed a new club, which it claims will allow a professional golfer to make a hole in 120% of the time and an amateur golfer 10% of the time. Professional an amateur golfers sign up to play 5 games of 18 holes each
Answers
A professional golfer to make about 40.7 holes over 5 rounds of golf with the new club, while an amateur golfer would only make about 1.6.
First, let's define some variables to represent the probabilities of making a hole for a professional golfer and an amateur golfer:
Let p be the probability that a professional golfer makes a hole with the new club.
Let q be the probability that an amateur golfer makes a hole with the new club.
According to the company's claims, we know that:
p = 1.2q (since the professional golfer makes a hole 120% of the time, which is 1.2 times the probability of the amateur golfer making a hole)
Next, we need to determine the probability of each golfer making a hole during one round of golf, which consists of 18 holes. Let's assume that each hole is independent of the others, meaning that the outcome of one hole does not affect the outcome of another. In that case, the probability of making at least one hole in a round can be calculated using the complement rule:
The probability that a professional golfer makes at least one hole in a round is 1 minus the probability that the golfer misses every hole: \(1 - (1-p)^{18} .\)
The probability that an amateur golfer makes at least one hole in a round is\(1 - (1-q)^{18} .\)
Now, let's use these probabilities to calculate the expected number of holes each golfer will make in 5 rounds of golf:
The expected number of holes made by a professional golfer in 5 rounds is 5 times the expected number of holes made in one round, which is \((1 - (1-p)^{18} )\times18.\)
The expected number of holes made by an amateur golfer in 5 rounds is 5 times the expected number of holes made in one round, which is \((1 - (1-q)^{18} )\times18.\)
We can simplify these expressions using the relationship between p and q:
The expected number of holes made by a professional golfer in 5 rounds is \(518(1 - (1-1.2q)^{18} ).\)
The expected number of holes made by an amateur golfer in 5 rounds is \(518(1 - (1-q)^{18} ).\)
We can now evaluate these expressions using the values of p and q:
\(p = 1.2q, so q = p/1.2\)
Substituting this into the expressions above, we get:
The expected number of holes made by a professional golfer in 5 rounds is\(518(1 - (1-1.2(p/1.2))^{18} ) = 518(1 - (1-p)^{18} ).\)
The expected number of holes made by an amateur golfer in 5 rounds is \(518(1 - (1-p/1.2)^{18} ).\)
Finally, we can evaluate these expressions using the given probabilities:
The expected number of holes made by a professional golfer in 5 rounds is\(518(1 - (1-1.2q)^{18} ) = 518(1 - (1-1.2(0.1))^{18} ) = 40.7.\)
The expected number of holes made by an amateur golfer in 5 rounds is \(518(1 - (1-q)^{18} ) = 518(1 - (1-0.1/1.2)^{18} ) = 1.6.\)
So according to these calculations, we would expect a professional golfer to make about 40.7 holes over 5 rounds of golf with the new club, while an amateur golfer would only make about 1.6
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Which of the following is not included in the cost of merchandise inventory? O Purchase discounts. O Purchase returns and allowances. O Purchase price of the inventory. O Freight costs paid by the seller. O Freight costs paid by the buyer. 4 pts 0 Question 2 Sunshine Cleaning purchased $3,500 worth of merchandise. The seller offered a 2% cash discount. Transportation costs for the buyer were an additional $310. The company returned $240 worth of merchandise and then paid the invoice within the discount period. The total cost of this merchandise is: O $3.570.00. O $3,500.00 O $3,332.00 O $3,430.00. $3,504.80 Question 5 A company has not sales of $759.300 and cost of goods sold of $548.300. Its not income is $10.280. The company's gross margin and operating expenses, respectively, are: O $211.000 and $230,750 $739.550 and $191,720 O $529,020 and $230.750 O $211.000 and $191,720 $230,750 and $529,020 4 pts D D Question 5 A company has not sales of $750,300 and cost of goods sold of $548,300. Its not income is $10.280 The company's groas margin and operating expenses, respectively, arm O $211,000 and $230,750 O $739,550 and $191,720 $529,020 and $230,750 O $211.000 and $191,720 O $230.750 and $529,020 Question 6 Sales less sales discounts, less sales returns and allowances equals: Cost of Goods Sold Net Income O Net Sales O Gross Profit 4 pts 4 pts Goods in transit are included in a purchaser's inventory: O At any time during transit. O After the half-way point between the buyer and seller, When the supplier is responsible for freight charges. When the goods are shipped FOB shipping point. OIf the goods are shipped FOB destination. Question 11 The inventory costing method that smooths out erratic changes in costs is: O LCM. O FIFO. OLIFO. O Specific Identification. O Weighted average. 4 t ne 0 Question 12 Krusty Krab has the following products in its ending inventory Compute lower of cost or market for inventory. applied separately to each product Inventory by Product Product Quantity Cost per Unit 500 $ 500 $ 30 600 Scuba Masks Scuba Sults O $265,000 O $290,000. O $250,000 $268,000 O $275,000. Question 13 Market per Unit $ 550 $ 25 If equity is $368,000 and liabilities are $186,000, then assets equal: O $554,000. $922,000. $368,000. $186,000. O $182,000. 2 pts
Answers
Question 1: The item not included in the cost of merchandise inventory is "Purchase discounts."
2: The total cost of the merchandise is $3,332.00.
5: The company's gross margin and operating expenses, are $211,000 and $191,720.
What is the cost of merchandise inventory?Merchandise inventory expenses normally consist of the price paid for the inventory, deductions from the purchase price resulting from purchase returns and allowances, and freight expenses paid by the purchaser.
Although purchase discounts reduce the cost of merchandise inventory, they are not considered part of it. Instead, they are treated as a distinct discount in the accounting records.
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The y-values that a function approaches when the x-values are extremely large or extremely small. This is called the function's
Answers
Answer:
end behavior
Step-by-step explanation:
Plz help I’m offering 40 points.
Answers
Alex didn't answer it correctly, because if you see the part where it says -5x - (-7...
it has two minus signs, one in front of the parantheses, and one behind it.
Since they cancel each other, the 7 would be positive.
The rectangular dining room floor at Mrs. Washington's restaurant is 16 feet by 20 feet. She
wants to buy a rug that is geometrically similar to the dining room floor. Which rug dimensions
correspond to a rug that would be similar to the floor?
Answers
Answer:
Through: (-3,-3) parallel to y= 7/3x+3
Answer:
12 feet by 15 feet is the answer.
2. Solve the system of equations.
1
ży 22
—1
x + 3y = 2 = 10
11/x + 2
+ z = -4
Answers
9514 1404 393
Answer:
(x, y, z) = (2, 1, -5)
Step-by-step explanation:
There are numerous equation solvers available on the web. The attached result is from one of them.
__
You may find it easier to solve these by hand if you eliminate fractions.
2x -y +z = -2x +3y -z = 10x +0y +2z = -8The first step is to look to see what you have, then formulate a strategy for getting a solution. Because the equations containing y have opposite coefficients, one of which is -1, we choose to use those to eliminate y. Immediately, we will have two equations in x and z.
If you multiply the first equation by 3 and add that to the second, then you will eliminate y. The third equation already has y eliminated, so you will then have two equations in x and z.
3(2x -y +z) +(x +3y -z) = 3(-2) +(10)
6x -3y +3z +x +3y -z = -6 +10
7x +2z = 4 . . . . [eq4]
Subtracting the third equation from this eliminates z, so you have ...
(7x +2z) -(x +2z) = (4) -(-8)
6x = 12
x = 2
Substituting into the third equation gives ...
2 +2z = -8
2z = -10
z = -5
Then using the first equation, you have ...
y = 2x +z +2 = 2(2) +(-5) +2 = 1
(x, y, z) = (2, 1, -5)
The estimate on an explanatory variable is not statistically significant at the 5%-level if the t-statistic is greater than 2.5. the p-value is less than 0.05. the 95% confidence interval does not contain zero. the 95% confidence interval contains zero.
Answers
The estimated value of the explanatory variable is not statistically significant at the 5%-level if a. the t-statistic is greater than 2.5.
The t-test is a hypothesis testing technique used to decide whether the estimated coefficient of a linear regression model is statistically significant or not. The t-value is used to measure the size of the difference between the estimated coefficient and the hypothesized value. When the t-value exceeds a critical value, such as 2.5, the estimated value of the explanatory variable is not significant at the 5%-level. It implies that the null hypothesis, which assumes that the explanatory variable's coefficient is zero, cannot be rejected.
The p-value is a measure of the probability of obtaining a more extreme value of the test statistic than the observed value if the null hypothesis is true. A small p-value implies that the null hypothesis should be rejected. When the p-value is less than 0.05, it means that the estimated value of the explanatory variable is significant at the 5%-level.
The confidence interval is a range of values that is expected to include the true value of the population parameter with a specified level of confidence. A 95% confidence interval means that the true value of the population parameter lies within the range 95% of the time. The 95% confidence interval does not contain zero implies that the estimated value of the explanatory variable is statistically significant at the 5%-level since it suggests that the population parameter is different from zero at the 5%-level. Conversely, if the 95% confidence interval contains zero, the estimated value of the explanatory variable is not statistically significant at the 5%-level since it means that the population parameter is not different from zero at the 5%-level. Therefore, it is essential to examine the t-statistic, p-value, and confidence interval while conducting hypothesis testing to make an informed decision.
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How
do you solve this for coefficients?
g(x) = { 1₁ -1 - T≤x≤0 осхь п 1 f(x+2TT) = g(x)
Answers
The coefficient for the interval -T ≤ x ≤ 0 in the function g(x) is 1. However, the coefficient for the interval 0 ≤ x ≤ 2π depends on the specific form of the function f(x). Without additional information about f(x), we cannot determine its coefficient for that interval.
To solve for the coefficients in the function g(x), we need to consider the conditions given:
g(x) = { 1, -1, -T ≤ x ≤ 0
{ 1, f(x + 2π) = g(x)
We have two pieces to the function g(x), one for the interval -T ≤ x ≤ 0 and another for the interval 0 ≤ x ≤ 2π.
For the interval -T ≤ x ≤ 0, we are given that g(x) = 1, so the coefficient for this interval is 1.
For the interval 0 ≤ x ≤ 2π, we are given that f(x + 2π) = g(x). This means that the function g(x) is equal to the function f(x) shifted by 2π. Since f(x) is not specified, we cannot determine the coefficient for this interval without additional information about f(x).
The coefficient for the interval -T ≤ x ≤ 0 is 1, but the coefficient for the interval 0 ≤ x ≤ 2π depends on the specific form of the function f(x).
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150 UB students were surveyed and asked how many hours a week they spent studying. The results are in the table below. Less than 5 5 to 10 More than 10 Total Male (M) 27 25 18 70 Female (F) 21 33 26 80 Total 44 150 48 58 a) Find the probability that a student is a female or less than 10 hours studying. (3 marks) b) Find the probability that a student is male and spends less than 5 hours studying. (3 marks) c) Find the probability that a student spends more than 10 hours studying given that the student is a male.
Answers
a) The probability that a student is a female or spends less than 10 hours studying is 0.683.
b) The probability that a student is male and spends less than 5 hours studying is 0.183.
c) The probability that a student spends more than 10 hours studying given that the student is a male is 0.255.
a) The probability that a student is female or spends less than 10 hours studying can be calculated using the formula:
P(Female or <10 hours) = P(Female) + P(<10 hours) - P(Female and <10 hours)
We have the following probabilities:P(Female) = 80/150 = 0.53P(<10 hours) = 44/150 = 0.293
P(Female and <10 hours) = 21/150 = 0.14
Substituting the values in the formula:P(Female or <10 hours) = 0.53 + 0.293 - 0.14 = 0.683
So, the probability that a student is a female or spends less than 10 hours studying is 0.683.
b) The probability that a student is male and spends less than 5 hours studying can be calculated using the formula:P(Male and <5 hours) = P(Male) × P(<5 hours|Male)
We have the following probabilities:
P(Male) = 70/150 = 0.47P(<5 hours|Male) = 27/70 = 0.39
Substituting the values in the formula:P(Male and <5 hours) = 0.47 × 0.39 = 0.183
So, the probability that a student is male and spends less than 5 hours studying is 0.183.
c) The probability that a student spends more than 10 hours studying given that the student is male can be calculated using the formula:
P(More than 10 hours|Male) = P(More than 10 hours and Male) / P(Male)
We have the following probabilities:P(More than 10 hours and Male) = 18/150 = 0.12P(Male) = 70/150 = 0.47
Substituting the values in the formula:P(More than 10 hours|Male) = 0.12 / 0.47 ≈ 0.255
So, the probability that a student spends more than 10 hours studying given that the student is a male is approximately 0.255.
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–
2.8,
–
2
1
4
, and
–
2.45 in order from least to greatest
Answers
Answer: -2.8, -2.45, -2, 1, and 4.
Step-by-step explanation:
Larger negatives go first so -2.8 is the largest and you continue using that method until 1 where the smaller number go first. Positives.
pls help meeeeeeeeeee
Answers
Step-by-step explanation:
VW to WY have the ratio 3/2.
VX to XZ must have the same ratio.
and VX > VW.
so,
30 and 20 is possible, as 30/20 = 3/2.
3 and 2 is not possible, because 6 > 3.
27 and 18 is possible, as 27/18 = 3/2.
13.2 and 8.8 is possible, 13.2/8.8 = 3/2.
8.7 and 5.7 is not possible, as 8.7/5.7 is not 3/2.
8.7/3 = 2.9
but 2.9×2 = 5.8 and not 5.7.
work out the value of v°
Answers
Answer:
v+91=180(being co-interior angle)
v=180-91
v=89,
Answer:
Step-by-step explanation:
v°+120°+91°+(180°-155°)=360°
v°+236°=360°
v°=360°-236°
v°=124°
If the point P( 9/10, y) is on the unit circle in quadrant IV, then y
=
Answers
A unit circle has a radius of 1, so r = 1. The point P(9/10, y) in the IV quadrant will have a positive x-value and a negative y-value.
How to solve the problem?Using the Pythagorean theorem we know that, x² + y² = r², in a Cartesian coordinate system. We can solve for y by rearranging the formula, r² - x2 = y², or y = ±√(r² - x²).
y = ±√(r² - x²)
y = ±√([1]² - [9/10]²)
Simplify the expression we have
y = ±√(1 - 81/100)
y = ±√(1-0.81)
y = ±√0.19, we choose the negative for quadrant IV.
y = -√0.19
y = -0.4359
Sin -0.4359 = 26 degrees in the IV quadrant, = 360-26 =334 degrees
CosA = 0.4359 in the Iv quadrant is positive we chose the positive figure 64 degrees
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A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. Not every bag contains exactly the same weight. But if more than 15% of bags are over-filled then they stop production to fix the machine. They define over-filled to be more than 1 ounce above the weight on the package. The engineer weighs 100 bags and finds that 21 of them are over-filled. He plans to test the hypotheses: H 0 : p
Answers
The test statistic (z) is approximately 4.6458.
The test statistic is a measure used in hypothesis testing to determine how far the sample statistic (in this case, the proportion of over-filled bags) deviates from the hypothesized value under the null hypothesis.
To calculate the test statistic, we can use the formula for testing a proportion:
z = (P - \(p_0\)) / \(\sqrt{(p_0 * (1 - p_0)/n)}\)
Where:
P is the sample proportion of over-filled bags (33/156 in this case).
\(p_0\) is the hypothesized proportion of over-filled bags (0.1 in this case).
n is the sample size (156 in this case).
Putting in the values:
z = (33/156 - 0.1) / \(\sqrt{(0.1 * (1 - 0.1)/ 156)}\)
Calculating further:
z = (0.2115 - 0.1) / \(\sqrt{(0.09/156)}\) / 156)
z = 0.1115 / \(\sqrt{(0.00057692)}\)
z ≈ 0.1115 / 0.024
The test statistic (z) is approximately 4.6458.
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Complete Question:
A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. Not every bag contains exactly the same weight. But if more than 10% of bags are over-filled then they stop production to fix the machine. They define over-filled to be more than 1 ounce above the weight on the package.
The engineer weighs 156 bags and finds that 33 of them are over-filled. He plans to test the hypotheses H0: p = 0.1 versus Ha: p > 0.1. What is the test statistic?
z =
please help!!!!!!!!!!!!
Answers
The height of the pyramid is 12 units.
The volume of the pyramid is 400 units cube.
How to find the height and volume of a pyramid?The pyramid has a square base with side length of 10 units. Each segment that connect the apex to a midpoint of a side of the base has a length of 13 units.
Therefore, the height of the pyramid can be calculated as follows:
The height of the pyramid can be found using Pythagoras's theorem for right triangles.
Hence,
c² = a² + b²
where
c = hypotenuse sidea and b are the other legsTherefore,
h² = 13² - 5²
h = √169 - 25
h = √144
h = 12 units
Therefore,
height of the pyramid = 12 units
Volume of the square pyramid = 1 / 3 BH
where
B = base areaH = height of the pyramidTherefore,
B = 10² = 100 units²
Volume of the square pyramid = 1 / 3 × 100 × 12
Volume of the square pyramid = 1200 / 3
Volume of the square pyramid = 400 units³
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Lisa also cleans windows on the weekend. She charges $10 a window plus a $5 flat supply fee, regardless of the size of the window. Write the total charge, c, of a cleaning job as a function of the number of windows (w).
Answers
Lisa also cleans windows on the weekend. The correct answer is c = 10w + 5
What was the steps to find this answer?So, she charges $10 a window plus a $5 flat supply fee, we are going to add 10 and 5 to find are answer and we are going to use c:
→ w = 10
→ 10w
$5 in the other hand, is independent.
→ + 5
→ c = 10w + 5
Therefore, Lisa also cleans windows on the weekend. The correct answer is c = 10w + 5
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(x)=4(x+3)(3x-8) in standard form
Answers
Answer:
12x² +3x = 96
Step-by-step explanation:
x = 4(x + 3)( 3x - 8)
x = (4x + 12) (3x - 8)
x = 4x(3x - 8) + 12(3x - 8)
x = 12x² - 32x + 36x - 96
x = 12x² + (-32x + 36x) - 96
x = 12x² + 4x - 96
0 = 12x² + 4x -x - 96
0 = 12x² + 3x -96
96 = 12x² + 3x same as 12x² +3x = 96
My data set is left skewed, therefore my mean will be _____ than my median
Answers
If your data set is left-skewed, then your mean will be less than your median.
In a left-skewed distribution, the tail of the distribution is longer on the left-hand side, which means that there are some extreme low values that pull the mean towards the left. On the other hand, the median is not affected as much by extreme values, since it only depends on the middle value(s) of the data set. Therefore, in a left-skewed distribution, the median is usually greater than the mean.
what is -8g=240 using one step equation
Answers
240/-8= -30
g=-30
Answer:
30
Step-by-step explanation:
help i have no faith in myself
Answers
Answer:
\(8 ( \frac{1}{2} \div 2) - ( \frac{1}{4} + 4)\)
\(8( \frac{1}{2} \times \frac{1}{2} ) - ( \frac{1}{4} + \frac{16}{4} )\)
\(8( \frac{1}{4} ) - \frac{17}{4} \)
\( \frac{8}{4} - \frac{17}{4} = - \frac{9}{4} \)
A is correct.
Mr. And Mrs. King's Regular Tax Liability On Their Joint Return Was $479,580. Which Of The Following Statements Is True?
Multiple Choice
a. A. if the King's tentative minimum tax is $462, 220, their total tax liability is $462,220.
b. if the King's tentative minimum tax is $462,220, their total tax liability is $479,580.
c. if the King's tentative minimum tax is $492,350, their total tax liability is $492, 350.
d. Both B and C are true
Answers
The statement "if the King's tentative minimum tax is $462,220, their total tax liability is $479,580" (option B) is true.
The King's regular tax liability on their joint return is $479,580. The tentative minimum tax refers to an alternative method of calculating taxes that can be higher than the regular tax liability.
Option A states that if the King's tentative minimum tax is $462,220, their total tax liability is $462,220. This is incorrect because the regular tax liability is already stated as $479,580, which is higher than $462,220.
Option B states that if the King's tentative minimum tax is $462,220, their total tax liability is $479,580. This statement is true because the regular tax liability of $479,580 is higher than the tentative minimum tax
Option C states that if the King's tentative minimum tax is $492,350, their total tax liability is $492,350. This is incorrect because the regular tax liability is stated as $479,580, not $492,350.
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Joseph removes gallon of white paint from a can. Then he addsgallon of blue paint to the can. Write and evaluate an addition expression to find the overall increase or decrease in the amount of paint in the can.
Answers
Answer:
-1+1
Step-by-step explanation:
cause takes out one gallon then adds one
Answer:
its not -1+1 NOT HELPFUL
Step-by-step explanation:
hi how is your day
if it is not possible to obtain a list of all elements in a population, this is a; group of answer choices infinte population sample finite population statistic
Answers
if it is not possible to obtain a list of all elements in a population, this is a; group of answer choices finite population statistic
It is also known as the group of the study, that targets the population, which helps to find the survey, which is the sampled population. It is measured by an ideal world, which will be the same, and they're always unique.
Its sampling distribution of the "x bar" should also be naturally independent of the random sample, that is usually distributed.
We consider the population as endless if the sampling size is at least 20 times greater than the sample size.
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Please help fill in this chart
Answers
The point where marginal cost equals $15 is at the production of the 7th pizza. Therefore, the firm should produce 7 pizzas.
What is the firm's shut-down price?The firm's shut-down price is the price at which the firm is indifferent between producing and shutting down.
Using the table provided, we can calculate the missing values:
Variable Cost:
For 0 pizzas, the variable cost is $0.
For 1 pizza, the variable cost is $10.
For 2 pizzas, the variable cost is $12.
For 3 pizzas, the variable cost is $2.
For 4 pizzas, the variable cost is $1.
For 5 pizzas, the variable cost is $2.
For 6 pizzas, the variable cost is $3.
For 7 pizzas, the variable cost is $13.
For 8 pizzas, the variable cost is $16.
For 9 pizzas, the variable cost is $3.
For 10 pizzas, the variable cost is $6.
For 11 pizzas, the variable cost is $4.
Total Cost: To calculate the total cost, we simply add the variable cost and the fixed cost for each level of output. The fixed cost is not given in the table, so we cannot calculate the total cost.
Average Variable Cost:
To calculate the average variable cost, we divide the variable cost by the level of output. For example, the average variable cost for 1 pizza is $10/1 = $10.
Average Fixed Cost:To calculate the average fixed cost, we divide the fixed cost by the level of output.
Average Total Cost: To calculate the average total cost, we add the average variable cost and the average fixed cost. The firm should produce pizzas up to the point where marginal cost equals marginal revenue.
This is the point where the firm maximizes its profit. From the table, we can see that the marginal cost is increasing as output increases, while the marginal revenue remains constant at $15.
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what is the factorization of the polynomial below?
3x^2+36x+81
a. (x+2)(x+37)
b. (3x+3)(x+9)
c. 3(x+3)(x+9)
d. (x+3)(3x+9)
Answers
Answer:
C. 3 ( x + 3 )( x + 9 )
Step-by-step explanation:
3x^2+36x+81
3(x^2 + 12x + 27)
3 (x + 3) ( x + 9)
A box contains 5 blue, 4 red, and 3 yellow marbles. Two marbles are randomly drawn and not replaced. What is the probability of drawing a blue then a red marble?
5/36
20/130
1/66
5/33
Answers
Answer:
the answer is 5/33
Step-by-step explanation:
Total marbles = 5 blue + 4 red + 3 yellow = 12
Two marbles are selected, first is blue which gives us :
5/12 --eq 1
Then red marble is selected ( note: one marble is already drawn and not replaced so we have a total of 11 marbles )
The probability of red gave us :
4/11 --eq 2
Now we multiply eq 1 and 2
5/12 x 4/11 = 5/33