After a blue marble is drawn and not replaced, the probability of drawing a red marble from the bag containing initially 28 red and 22 blue marbles is 9/16.
Explanation:The question is asking for the probability of picking a red marble after a blue marble has been picked first and not replaced. The bag originally contains 50 marbles, 28 red ones, and 22 blue ones. After removing one blue marble, there would be 27 red marbles and 21 blue ones left, making a total of 48 marbles.
To find the probability of now drawing a red marble, we divide the number of red marbles by the new total number of marbles:
Probability = Number of Red Marbles / Total Number of Marbles
Probability = 27 / 48
Probability = 9 / 16
Therefore, the probability of drawing a red marble after having already drawn a blue marble and not replacing it is 9/16.
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In a classroom, the students are set up in the arrangement shown in the table.
How many students are sitting at the 4 tables?
Answer:
20
Step-by-step explanation:
multiplying by 5 just divide the 7 with 35 you get 5 so multiply 4 and the 5 and get 20
Answer:
20
Step-by-step explanation:
y= x^3-19x+30
State the number of complex zeros for each function
Answer:
0
Step-by-step explanation:
Using Descartes' rule of signs, we observe that the signs of the coefficients, + - +, have two changes. Thus there will be 0 or 2 positive real roots, hence 0 or 2 complex roots.
We can do further work to determine if it is 0 or 2. A graphing calculator provides an easy answer.
This function of x has no complex zeros. They are all real.
_____
For a cubic, it isn't always easy to find the zeros. The rational root theorem tells you any rational zeros will be factors of 30. Possibilities are ...
±1, ±2, ±3, ±5, ±6 . . . . . we're pretty sure no roots have magnitude > 6
For x=0, y = 30 . . . . the constant
For x=1, y = 12 . . . . . a smaller value, so we're going in the right direction
For x=2, y = 0 . . . . . one of the real roots
Dividing out this factor*, we get ...
y = (x -2)(x^2 +2x -15)
Factoring the quadratic gives ...
y = (x -2)(x -3)(x +5) . . . . . . all real zeros
_____
* For dividing x^3 -19x +30, synthetic division works well. The work for that is shown in the second attachment.
Simplify (6x−2)2(0.5x)4
. Show your work.
Answer:
(6x − 2) * 2 * (0.5x) * 4 = (6x - 2) * 4x
Hope this helps!
:)
Consider the following probability distribution for stocks A and B: State Probability Return on Stock A Return on Stock B 1 0.10 10 % 8 % 2 0.20 13 % 7 % 3 0.20 12 % 6 % 4 0.30 14 % 9 % 5 0.20 15 % 8 % The standard deviations of stocks A and B are ________ and ________, respectively. Group of answer choices 2.5%; 1.1% 1.5%; 1.1% 1.5%; 1.9% 3.2%; 2.0%
Answer:
None of the above. The correct answer is 1.47%, 1.10%.
Step-by-step explanation:
The first thing to do is to calculate the Expected return of Stock A and Stock B.
For A;
Probability. Return.
0.1.= 0.1 × 10% = 1.00%
0.2= 0.2 × 13% = 2.60%
0.2= 0.2× 12% = 2.40%.
0.3= 0.3 × 14% = 4.20%
0.2= 0.2 × 15% = 3.00%
Total = 13.20%.
For B;
Probability. Return.
0.1= 0.1 × 8% = 0.80%
0.2= 0.2 × 7% = 1.40%
0.2.= 0.2 × 6% = 1.20%
0.3.= 0.3 × 9% =2.70%
0.2.= 0.2 × 8%= 1.60%
Total = 7.70%.
Hence, the Expected return of Stock A and B = 13.20% and 7.70%. respectively.
Now, let us find the Standard deviation of Stock A and the Standard deviation of Stock B.
For A
For individual value of A, we use the following formula;
(A - Expected return of Stock A)^2 × probability.
For instance,
(10% - 13.20%)^2 × 0.1 =0.000102.
(13% - 13.20%)^2 × 0.2= 0.000001.
(12% - 13.20%)^2 × 0.2 = 0.000029.
(14% - 13.20%)^2 × 0.3 =0.000019.
(15% - 13.20%)^2 × 0.2 = 0.000065.
Which gives us the following values;
0.000102, 0.000001, 0.000029, 0.000019, 0.000065.
The next thing to do is to find the variance (that is the addition of all the values above) and the value for the square root of variance which is the standard deviation.
√( 0.000102 + 0.000001 + 0.000029 + 0.000019 + 0.000065) = 0.000216.
Thus, variance = 0.000216, square root of variance= 0.014697(1.47%).
For B;
We follow as the one above.
(B - Expected return of Stock A)^2 × probability.
We have values as;
0.000001, 0.000010, 0.000058, 0.000051, 0.000002.
√ ( 0.000001 + 0.000010 + 0.000058 +0.000051 + 0.000002).
= 0.011( 1.10%).
To find the standard deviations of stocks A and B, calculate the expected returns and then use the variance formula to determine the standard deviations by taking the square root of the variance for each stock.
Explanation:The standard deviations of stocks A and B can be calculated using the probabilities and the returns given in the probability distribution. First, we calculate the expected return for each stock by multiplying the return by the probability of each state and summing it up. Then we use the formula for standard deviation, which is the square root of the expected value of the squared deviations from the mean.
For Stock A, we calculate the expected return (μA) and the variance (σA2) before finding the standard deviation (σA). The same steps are taken for Stock B to find its expected return (μB) and standard deviation (σB). Without the detailed calculations, we are unable to provide the exact values for the standard deviations, but by following these methods, you can determine which of the given options is correct for both stocks.
a dog is tied to a wooden stake in the backyard. his chain is 18.6 feet long and he runs around in circles pulling the leash as far as it can go. if he runs around the circle 10 times, how far has he run
Answer:
The dog ran 1,168.1 feet, approximately.Step-by-step explanation:
Givens
The chain is 18.6 feet long.Notice that the chain represents the radius of the circle trajectory, because the dog is running pulling the leash as far as it can go.
So, the radius of the circle is 18.6 feet long.
Now, the length of the circumference is
[tex]L=2 \pi r[/tex]
Replacing the radius, we have
[tex]L=2(3.14)(18.6)\\L=116.81 ft[/tex]
So, one lap is equal to 116.81 feet. But the dog ran 10 times, which means it ran a total distance of
[tex]d=10(116.81ft)=1168.1 \ ft[/tex]
Therefore, the dog ran 1,168.1 feet, approximately.
The quality control department at Food Town Inc., a grocery chain in upstate New York, conducts a monthly check on the comparison of scanned prices to posted prices. The chart below summarizes the results of a sample of 500 items last month. Company management would like to know whether there is any relationship between error rates on regularly priced items and specially priced items.
Regular Price Advertised Special Price
Undercharge 20 10
Overcharge 15 30
Correct Price 200 225
Find the attachments for step by step solutions
Note: The .01 significance level is used
The management at Food Town Inc. is investigating potential correlations between error rates in price checking between regular priced and specially priced items. This relates to business and statistics. A detailed look at the data, and potentially a formal correlation test, can provide insights.
Explanation:The subject of the question is related to statistics and business with a focus on quality control in a grocery chain. The quality control department at Food Town Inc. conducts a check comparing scanned prices to posted prices. In essence, management is interested in understanding any possible relationship between error rates for regularly priced and specially priced items. A simple way to understand this is through the concept of a correlation.
Correlation is a term in statistics used to indicate the degree to which two or more attributes or measurements on the same group of elements show a tendency to vary together. By looking at the data, especially the error rates (overcharge and undercharge) on regular and special priced items, one could check if there's a negative or positive correlation between these variables.
It seems at first glance that regularly priced items incur fewer errors overall than specially priced items, especially in overcharging. A statistical correlation test, such as the Pearson correlation, can further confirm or refute this observation.
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A study was completed in Florida. In southern Florida, the study involved 3,000 patients; 54% of them experienced flulike symptoms during the same month. The study had a margin of error of 1.8%. What does that mean for the study? The confidence interval is between 52.2% and 55.8%. The confidence interval is between 50.4% and 57.6%. The confidence interval is between 53% and 55%. The confidence interval is between 30% and 97.2%.
Answer:
A (52,2%, 55,8%)
Step-by-step explanation:
To get the confidence interval, we have to add the margin of error to the point estimator.
The middle of the interval is 54%, and the ME is 1.8%. Don't forget that this means ±1.8%!
54 - 1.8 = 52.2%
54 + 1.8 = 55.8%
So our confidence interval is (52,2%, 55,8%) and the answer is A.
The margin of error of 1.8% in the study indicates that the true percentage of patients with flu-like symptoms is likely between 52.2% and 55.8%.
The margin of error in the study from Florida is 1.8%.
This means that we can be confident that the true percentage of patients experiencing flu-like symptoms is within 1.8% of the observed 54%, above and below this value.
To calculate the confidence interval, we add and subtract the margin of error from the observed percentage. Therefore, the confidence interval would be from 54% - 1.8% to 54% + 1.8%, which is between 52.2% and 55.8%.
What is the distance to the Earth's Horizon from point P? Enter enter the decimal in the Box round only your final answer to the nearest tenth.
Answer:
The distance to the Eath's Horizon from point P is 352.8 mi, approximately.Step-by-step explanation:
You observe the problem from a graphical perspective with the image attached.
Notice that side [tex]x[/tex] is tangent to the circle, which means is perpendicular to the radius which is equal to 3,959 mi.
We have a right triangle, that means we need to use the Pythagorean's Theorem, to find the distance to the Earth's Horizon from point P.
The hypothenuse is 3959 + 15.6 = 3974.6 mi.
[tex](3974.6)^{2}=x^{2} +(3959)^{2} \\x^{2} =15,797,445.16 - 15,673,681\\x=\sqrt{123,764.16} \approx 351.8[/tex]
Therefore, the distance to the Eath's Horizon from point P is 352.8 mi, approximately.
A marine surveyor uses a rangefinder and a compass to locate a ship and an island in the vicinity of the coast on which she stands. The rangefinder indicates that the island is 353 ft from her position and the ship is 474 ft from her position. Using the compass, she finds that the ship's azimuth (the direction measured as an angle from north) is 320 degrees and that of the island is 58 degrees. What is the distance between the ship and the island?
Answer:
distance between the ship and the island is 465.72 ft
Step-by-step explanation:
given data
island = 353 ft
ship = 474 ft
ship's azimuth = 320 degrees
island = 58 degrees
to find out
distance between the ship and the island
solution
as per given figure we can see that
AC = 353
AB = 474
we get here angle ABC that is = 360 - 320 = 40 degree
and angle BAC is = 180 - 58 = 122
and now we apply here law sign
so
[tex]\frac{BC}{sinA} = \frac{AC}{sinB}[/tex] ...........1
put here value and we get
[tex]\frac{BC}{sin122} = \frac{353}{sin40}[/tex]
BC = 465.72 ft
so distance between the ship and the island is 465.72 ft
determine the percent change from 171.33 to 201.59
Answer:15
Step-by-step explanation:
%change=(201.59-171.33)/201.59 x 100
%change=30.26/201.59 x 100
%change=0.15 x 100
%change=15
Which of the following expressions can be used to find the area of a square with a side length of 1/3m?
(1/3)^2 m^2
(1/3) ^3 m^2
1/3x2 m^2
2x1/3 m^2
Answer:
(1/3)^2 m^2
Step-by-step explanation:
Because Area of square = A = x*x
here x = 1/3 m.
so A = (1/3 m)*(1/3 m) = (1/3)^2 * m^2
A designated hitter made 8 hits in 10 games. find the ratio of hits to games
Answer:
4:5
Step-by-step explanation:
reduce the 8 and 10 by dividing both by 2.
the attendance at a conference was 23,000, rounded to the nearest hundred. what is the difference between the largest and smallest possible attendances
Answer:
largest= 23,049
smallest= 22,950
The mean area : ¯ x of the several thousand apartments in a new development by a certain builder is advertised to be 1100 square feet. A tenant group thinks this is inaccurate, and suspects that the actual average area is less than 1100 square feet. In order to investigate this suspicion, the group hires an engineer to measure a sample of apartments to verify its suspicion. The appropriate null and alternative hypotheses, H0 and Ha, for μ are:_________
A. H0: ? = 1100 and Ha: ? 1100.
B. H0: ? = 1100 and Ha: ? < 1100.
C. H0: ? = 1100 and Ha: ? > 1100.
D. The hypotheses cannot be specified without knowing the size of the sample used by the engineer.
Answer:
d
Step-by-step explanation:
i did that already and got it right so i hope its not wrong for you
What is the following product? Assume b greater-than-or-equal-to 0
StartRoot b EndRoot times StartRoot b EndRoot
b StartRoot b EndRoot
2 StartRoot b EndRoot
b
b2
Answer:
c).b
Step-by-step explanation:
e2020
The result of the product [tex]\sqrt b \times \sqrt b =b[/tex] is b
The product is represented as:-
[tex]\sqrt b \times \sqrt b[/tex]
Multiply the roots
[tex]\sqrt b \times \sqrt b =\sqrt{b^2}[/tex]
Rewrite the above expression as:
[tex]\sqrt b \times \sqrt b =b^{\frac 12 \times 2}[/tex]
Multiply 1/2 and 2
[tex]\sqrt b \times \sqrt b =b^{ 1}[/tex]
Express b^1 as b
[tex]\sqrt b \times \sqrt b =b[/tex]
Hence, the result of product [tex]\sqrt b \times \sqrt b =b[/tex] is b
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The original price of an airplane ticket is $990. How much will Hazel pay if she buys it during the 20% off sale?
Answer:
792 dollars
Step-by-step explanation:
20% of 990= 0.2*990=198
Subtracting this from the total price of the original ticket, you get 990-198=$792. Hope this helps!
I want to know if mammal usually have more teeth than reptiles
Final answer:
While the number of teeth varies among species, mammals usually have more complex dentition than reptiles due to their heterodont (four different types) teeth, compared to reptiles' homodont teeth. Most mammals are diphyodonts with two sets of teeth over their lifetime, unlike many reptiles that replace their teeth continuously.
Explanation:
Mammals generally have a more complex dental structure than reptiles due to their heterodont dentition. Mammals have four different types of teeth: incisors, canines, premolars, and molars, each specialized for different dietary functions such as cutting, tearing, and grinding. In contrast, most other vertebrates, including reptiles, possess homodont teeth, meaning their teeth are all the same type and shape, which often don't vary much in structure compared to mammals.
This difference in dentition is related to the various diets that mammals adapt to, allowing them to process different kinds of foods more efficiently. Furthermore, most mammals are diphyodonts, meaning they have two sets of teeth in their lifetime—deciduous ("baby") teeth and permanent teeth—compared to many reptiles that replace their teeth throughout their lives.
In terms of the absolute number of teeth, it varies widely among species in both groups. Some reptiles indeed have a high number of teeth; for instance, a crocodile has many sharp, conical teeth. However, it's not accurate to say that all reptiles have more teeth than all mammals because there is a great deal of variation within each group, with some mammals having more teeth than certain reptiles, and vice versa.
Captain Ishaan has a ship, the H.M.S Crimson Lynx. The ship is four furlongs from the dread pirate Michael and his merciless band of thieves.
If his ship hasn't already been hit, Captain Ishaan has a probability 5/2 If his ship has been hit, Captain Ishaan will always miss.
If his ship hasn't already been hit, dread pirate Michael has a probability 8/3 of hitting the Captain's ship. If his ship has been hit, dread pirate Michael will always miss.
If the Captain and the pirate each shoot once, and the Captain shoots first, what is the probability that both the Captain and the pirate hit each other's ships?
Answer: 0
Step-by-step explanation:
The probability of event A happening, then event B, is the probability of event A happening times the probability of event B happening given that event A already happened.
In this case, event A is the Captain hitting the pirate ship and event B is the pirate hitting the Captain's ship.
The Captain fires first, so his ship can't be sunk before he fires his cannons.
So, the probability of the Captain hitting the pirate ship is 2/5
If the Captain hit the pirate ship, the pirate has no chance of firing back.
So, the probability of the pirate hitting the Captain's ship given the Captain hitting the pirate ship is 0.
The Scholastic Aptitude Test (SAT) is a standardized test for college admissions in the U.S. Scores on the SAT can range from 600 to 2400. Suppose that PrepIt! is a company that offers classes to help students prepare for the SAT exam. In their ad, PrepIt! claims to produce "statistically significant" increases in SAT scores. This claim comes from a study in which 427 PrepIt! students took the SAT before and after PrepIt! classes. These students are compared to 2,733 students who took the SAT twice, without any type of formal preparation between tries. We conduct a hypothesis test and find that PrepIt! students significantly improve their SAT scores (p-value < 0.0001). Now we want to determine how much improvement we can expect in SAT scores for students who take the PrepIt! class. Which of the following is the best approach to answering this question? Group of answer choices Use the sample mean 29 to calculate a confidence interval for a population mean. Use the difference in sample means (500 − 529) in a hypothesis test for a difference in two population means (or treatment effect). Use the difference in sample means (500 − 529) to calculate a confidence interval for a difference in two population means (or treatment effect). Use the difference in sample means (29 and 21) in a hypothesis test for a difference in two population means (or treatment effect).
The best approach to determine the average improvement in SAT scores for PrepIt! students is to calculate a confidence interval for the difference in two population means using the sample mean differences, option A.
To determine the average improvement in SAT scores for students who take the PrepIt! class, the best approach is to use the difference in sample means to calculate a confidence interval for a difference in two population means (or treatment effect), option A.
This involves taking the mean SAT score before the PrepIt! class and the mean SAT score after the class and computing the confidence interval for this difference. Doing this calculation will provide an interval estimate that shows the range of values within which the true mean difference in SAT scores, due to the PrepIt! class, is likely to fall. For instance, if the mean SAT score improvement is 29 points, we would use this value and the appropriate standard error and confidence level to calculate the confidence interval.
Researchers for the University of Maryland Department of Civil and Environmental Engineering used stochastic dynamic programming to determine optimal load estimates for electric power (Journal of Energy Engineering, Apr. 2004). One objective was to determine the probability that a supplier of electric power would reach or exceed a specific net profit goal for varied load estimates. All load estimates in the study yielded a probability of .92. Consider two different suppliers of electric power (Supplier A and Supplier B) acting independently. a. What is the probability that both suppliers reach their net profit goal? b. What is the probability that neither supplier reaches its net profit goal? c. What is the probability that either Supplier A or Supplier B reaches its net profit goal?
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached image below to see the step by step explanation to the question above.
Which function describes the graph below? On a coordinate plane, a curve crosses the y-axis at (0, 7), decreases to negative 1, and then increases again to 7. y = 8 cosine (x) + 3 y = 4 cosine (x) + 3 y = 4 sine (x) + 3 y = 8 sine (x) + 3
Answer:
y = 4 cosine (x) + 3
Step-by-step explanation:
A curve crosses the y-axis at (0, 7)
This means that when x = 0, y = 7
We have that:
sin(0) = 0, cos(0) = 1.
Let's see which of the functions respect this condition:
y = 8 cosine (x) + 3
y(0) = 8cos(0) + 3 = 8 + 3 = 11. Incorrect.
y = 4 cosine (x) + 3
y(0) = 4cos(0) + 3 = 4 + 3 = 7. Correct.
y = 4 sine (x) + 3
y(0) = 4sin(0) + 3 = 0 + 3 = 3. Incorrect.
y = 8 sine (x) + 3
y(0) = 8sin(0) + 3 = 0 + 3 = 3. Incorrect.
Decreases to negative 1, and then increases again to 7.
This means that the amplitude is 7-(-1) = 8, which means that the term which multiplies the function is 8/2 = 4. From above, we have already seen that the answer is y = 4 cosine (x) + 3.
Answer:
Pretty sure its' b (y=4Cos(x)+3)
Step-by-step explanation:
Take the max minus the min, equals 8 then times 1/2 equals 4.
Since it starts at the max, that is a characteristic of cosine NOT sine.
P.s I know this is late, but for other people
I need help please and thank you
Answer:
C = 25
Step-by-step explanation:
C = 5/9(F - 32)
Let F = 77
C = 5/9(77- 32)
Parentheses first
C = 5/9(45)
C = 25
Someone please help
Answer:
3/4
Step-by-step explanation:
[tex]\dfrac{1}{4}+\dfrac{1}{2}=\dfrac{1}{4}+\dfrac{2}{4}=\dfrac{3}{4}[/tex]. Hope this helps!
Answer:3/4
Step-by-step explanation:
Here are my reason why 1/2 is greater than 2/6 or 1/6. And it won’t be 2/4 because then it would be 1/2 + 0 or 2/4 + 0.
So 1/4 + 1/2
= 1/4 + 2/4
= 3/4
On a coordinate plane, a line with negative slope goes through (0, 4) and (4, 0). The graph is shown for the equation y = –x + 4. Which equation, when graphed with the given equation, will form a system that has an infinite number of solutions? y = negative 4 (x + 1) y = negative (x + 4) y = negative one-half (2 x minus 8) y = x + negative 4
Answer:
c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
answer these 2 questions for 100 pts. answers only please
Answer:
1.
%K = 31.904%
%Cl = 28.930%
%O = 39.166%
2.
Hg = 80.69/ 200.59 = 0.40/0.2 = 2
S = 6.436/ 32.07 = 0.20/0.2 = 1
O = 12.87/ 16.00 = 0.80/0.2 = 4
Hg2SO4 is the empirical formula
Step-by-step explanation:
How can you break up the figure into familiar shapes to determine the area?
The area of a 2D form is the amount of space within its perimeter. The area of the composite figure is 5 1/3 ft².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The given figure can be breakdown into two parts as shown below. Therefore, the area of the composite figure will be,
Area of the composite figure = Area A + Area B
= (5 × 1/3) + [0.5×2×(5- 4/3)]
= 5/3 + 11/3
= 16/3 = 5 1/3 ft²
Hence, the area of the composite figure is 5 1/3 ft².
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If a car can go 300 miles on 12 gallons, how far can it go on 1 gallon
Answer:
The car can go 25 miles on 1 gallon.
Step-by-step explanation:
300 divided by 12 equals 25. Therefore, the car can go 25 miles on 1 gallon.
Answer:
25 miles
Step-by-step explanation:
Let distance = x
Gallons Miles
12. 300
1. x
12x = 300
x = 300/12
x = 25 miles
A car can go 25 miles on 1 gallon.
the dot plot show the number of emails aaron sent his cousin each week
Answer:
The answer is 2 i think
Step-by-step explanation:
I think thats where the gap is
rebecca has 21 cupcakes to frost. She has frosted 2/7 of them. How many cuppcakes does she have left to frost
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
21 * 2/7= 42/7=6 cupcakes that she's already frosted.
21-6=15 cupcakes left to frost.
Hope this helps!
The legs on a right triangle are 15.25 inches and 14.1 inches.
Find the approximate hypotenuse side length. Round to the nearest hundredth.
0
20.79
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Y
V
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a
a
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CO
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20.78
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We have been given that the legs on a right triangle are 15.25 inches and 14.1 inches. We are asked to find the hypotenuse of the right triangle.
We will use Pythagoras theorem to solve our given problem.
[tex]\text{Hypotenuse}^2=\text{Leg}^2+\text{Leg}^2[/tex]
[tex]\text{Hypotenuse}^2=15.25^2+14.1^2[/tex]
[tex]\text{Hypotenuse}^2=232.5625+198.81[/tex]
[tex]\text{Hypotenuse}^2=431.3725[/tex]
Now we will take positive square root on both sides.
[tex]\sqrt{\text{Hypotenuse}^2}=\sqrt{431.3725}[/tex]
[tex]\text{Hypotenuse}=20.7695089012715946[/tex]
Upon rounding to nearest hundredth, we will get:
[tex]\text{Hypotenuse}\approx 20.77[/tex]
Therefore, the length of the hypotenuse is approximately 20.77 inches.