Answer:
\( \frac{8}{1} \times \frac{7}{12} = \frac{56}{12} = \frac{14}{3} \)
................. ;)
8. u.s states a state is selcted at random from the 50 states of the united states. what is the probabbilty that it is one of the six mew england states?
10 % is the probabbilty that it is one of the six mew england states.
What is the simple definition of probability?
A probability is a number that expresses the possibility or likelihood that a specific event will take place.
Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.
Number of states that touch the Pacific Ocean = N(P) = 5
Total Number of States = (Sample Space)= N(s) = 50
Number of Event/Draw = 1
Therefore;
Probability = N(P) /N(s) = 5/50 = 1/10 = 10 %
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Which of the following domains are closed and which are bounded?
(a) {(x,y)∈R2:x2+y2≤1}
(b) {(x,y)∈R2:x2+y2<1}
(c) {(x,y)∈R2:x≥0}
(d) {(x,y)∈R2:x>0,y>0}
(e) {(x,y)∈R2:1≤x≤4,5≤y≤10}
(f) {(x,y)∈R2:x>0,x2+y2≤10}
(a) The domain closed and bounded.
(b) The domain bounded.
(c) The domain closed.
(d) The domain bounded.
(e) The domain closed and bounded.
(f) The domain closed and bounded.
In this question, we have been given some domains.
We need to check which domains are closed and which are bounded.
A domain of function is said to be closed if the region R contains all boundary points.
A bounded domain is nothing but a domain which is a bounded set.
(a) {(x,y)∈R2:x^2+y^2≤1}
The domain of x^2+y^2≤1 contains set of all points (x, y) ∈R2
so, the domain closed and bounded.
(b) {(x,y)∈R2:x2+y2<1}
The domain of x^2+y^2 < 1 contains set of all points (x, y) ∈R2
so, the domain is bounded.
(c) {(x,y)∈R2: x ≥ 0}
The domain of x ≥ 0 is R2 - {x < 0}
So, the domain is closed.
(d) {(x, y) ∈ R2 : x > 0,y > 0}
The domain is R2 - {(x, y) ≥ 0}
So, the domain is bounded.
(e) {(x, y) ∈ R2 : 1 ≤ x ≤ 4, 5 ≤ y ≤ 10}
The domain is closed and bounded.
(f) {(x,y)∈R2:x>0,x^2+y^2≤10}
The domain is closed and bounded.
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Rosanne, an architect, is designing a hotel in Lakeside. Single rooms take up 28 square
meters of space and suites take up 98 square meters of space. In total, there are a maximum.
of 14,400 square meters available.
Write the inequality in standard form that describes this situation. Use the given numbers and
the following variables.
x = the number of single rooms
y the number of suites
<
2
S
The inequality which correctly represents the situation of the Lakeside hotel as described is; 28x + 98y ≤ 14,400.
Which inequality correctly represents the situation of the Lakeside hotel?It follows from the task content that;
x = the number of single rooms and
y = the number of suites
Hence, since single rooms take up 28 square meters; it follows that for x single rooms; we have; 28x.
Also, since suites take up 98 square meters; it follows that for y suites; we have; 98y.
Ultimately, since there are a maximum of 14,400 square meters available, the required inequality which represents the land use situation of the Lakeside hotel is; 28x + 98y ≤ 14,400.
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Tía equally shares 8 cookies among herself and 4 friends which fraction shows how many cookies each person gets
What’s the volume? Pls help
Answer:
73 x 51 x 1/2(basically just dividing by 2) = 1861.5
1861.5 x 86(width) = 160,089 86 yd^3 is your answer.
Step-by-step explanation:
Formula of area of a triangle:
BH x 1/2
B(base) x H(height) x 1/2
Similar Figures and Scale Drawings Extension brainliest plus 80 points !!!!!!!!!!!!!!!!!!
Answer:
1. 1/2 in = 6 feet
1 3/4 in = 21 feet
2. x = 7
y = 10
3. GH= 2
4. x = 3
y = 5
Answer:
6 aand 21
Step-by-step explanation:
the different between two possitive nymbers is 48. the lesser number is 1/3 of the greater number. what are the two positive numbers
Let's call the greater number "x" and the lesser number "y". According to the problem, we know that:
x - y = 48 (since the difference between the two numbers is 48)
y = (1/3)x (since the lesser number is one third of the greater number)
Now we can substitute the second equation into the first equation:
x - (1/3)x = 48
Simplifying this equation, we get:
(2/3)x = 48
Multiplying both sides by 3/2, we get:
x = 72
Now that we know x, we can use the second equation to find y:
y = (1/3)x = (1/3)(72) = 24
So the two positive numbers are 72 and 24.
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Anton wants to make a 5 lb of sugar syrup How much water and how much sugar does he need to make 50% of sugar syrup
Answer:
2.5 and 2.5
Step-by-step explanation:
Since it is 50%. You just do 5lb divided by 2
Answer:
2.5&2.5
Step-by-step explanation:
You divide 5/2 and get 2.5 for both! Hope this helps!
Consider the vector Pˉ=110iˉN+60jˉN−0.58Pkˉ, where P=∣Pˉ∣. a) The magnitude of Pˉ is P=N. b) The direction cosine of Pˉ with respect to the x− axis is c) The directional angle of Pˉ with respect to the z− axis is
a) The magnitude of Pˉ is P. b) The direction cosine of Pˉ with respect to the x-axis is 110/P. c) The directional angle of Pˉ with respect to the z-axis is arctan(60/√(110^2+(-0.58P)^2)).
a) To find the magnitude of vector Pˉ, we use the formula for the magnitude of a vector in three dimensions, which is the square root of the sum of the squares of its components.
b) The direction cosine of a vector with respect to a specific axis is the ratio of the component of the vector along that axis to its magnitude. In this case, the x-component of Pˉ is 110, so the direction cosine with respect to the x-axis is 110 / P.
c) The directional angle of a vector with respect to a specific axis can be found using the arctan function. In this case, we use the y-component and z-component of Pˉ to find the angle between Pˉ and the z-axis.
Therefore, the magnitude of Pˉ is given by P, the direction cosine with respect to the x-axis is cos(θ_x), and the directional angle with respect to the z-axis is θ_z.
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I need to know what 62.5 x 80.4 is in order to pass a test
Answer: 5025
Step-by-step explanation:
What is the solution to this system of linear equations?
x + y = 4
x − y = 6
Answer:
x=5 , y= -1
Step-by-step explanation:
You can see that one of the y's is negative while the other is positive, so you can add them together.
Now, negative 1 + positive 1 = 0, so the y's cancel out leaving only the x's.
Remember you can't add one part without adding the other so x+x = 2x, and 4+6=10. This makes the final equation 2x=10.
You can simplify that into x=5. This gives you the answer for x
Then substitute x=5 into any of the two equations (doesn't matter) I'll use the first one. So if you substitute it you get 5+y=4.
Simplified, y= -1
Therefore, x= 5 and y=-1
Answer:
(5,-1)
Step-by-step explanation:
Got it right on edge cause of the guy above me
help. help. help. alegbra ll honors
Answer:
Step-by-step explanation:
Yes yes yes cena helpo
Answer:
the answer is -4,-3
Step-by-step explanation:
once you translate it across the y axis it is -4,3 and then it asks you to go down six so then its -4,-3
pls help me do last question, step by step for understanding
Let's ignore the four corners for now.
Along the top, the length is 145 cm. Each tile is 25 mm, which is equivalent to 2.5 cm. So she'll need 145/2.5 = 58 tiles across the top
Similarly, she'll also need 58 tiles across the bottom as well because that length is also 145 cm.
Along the left side, she'll need 75/2.5 = 30 tiles and the right side is the same story.
So far we calculate 58+58+30+30 = 176 tiles
Add in the four corners to get 176+4 = 180 tiles total
-------------------------
A quicker method is to divide the perimeter (440 cm) over the side length of each tile (2.5 cm) and we get 440/2.5 = 176, which represents the number of tiles along the top, bottom, left and right sides. Again we're ignoring the corners. So we'll have to add them back in to get 176+4 = 180.
You start hiking at an elevation that is 550 meters below sea level. You increase your elevation by 45 meters. What is the new elevation? Write an addition expression and solve
Answer:505 meters
Step-by-step explanation: 550-45=505
Compare √180 and 105/8 using<, >, or =.
Answer:
√180 > 105 / 8
Step-by-step explanation:
105 / 8 = 13.125
√169 = 13
√196 = 14
we now know that √180 is about 13 to 14
using a calculator the value of √180 is about 13.4
so √180 must be greater than 105/8
a conditional relative frequency table is generated by column from a set of data. the conditional relative frequencies of the two categorical variables are then compared. if the relative frequencies being compared are 0.21 and 0.79, which conclusion is most likely supported by the data?
When comparing the conditional relative frequencies of two categorical variables, if the relative frequencies being compared are 0.21 and 0.79, the most likely conclusion supported by the data is that there is a significant difference or association between the variables.
A relative frequency of 0.21 indicates a relatively low occurrence or proportion of the data falling into one category, while a relative frequency of 0.79 suggests a significantly higher occurrence or proportion in the other category. This stark contrast in relative frequencies implies that the two variables are not independent and that there is likely a strong relationship between them. Therefore, based on the provided data, it is reasonable to conclude that the variables being compared exhibit a notable association or dependency, with one category being much more prevalent than the other.
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Based on the given information, if the relative frequencies being compared are 0.21 and 0.79, the most likely conclusion supported by the data is that there is a significant disparity or imbalance between the two categorical variables.
A relative frequency of 0.21 suggests a relatively low occurrence or representation of one category, while a relative frequency of 0.79 indicates a significantly higher occurrence or representation of the other category. This stark difference in relative frequencies implies that the two variables are not evenly distributed and that there may be a strong association or correlation between them. It suggests that one category is more prevalent or influential compared to the other. Further analysis and investigation would be required to understand the underlying factors contributing to this imbalance and the implications of this relationship.
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The difference between the park and house of a student is 1Km 575m. Every day he walks both ways between the park and his house. Find the total distance covered by him in a week's time?
The student covers a total distance of 22.05 kilometers in a week's time, walking between the park and the house each day.
To find the total distance covered by the student in a week's time, we need to calculate the distance covered in one round trip (from the house to the park and back) and then multiply it by the number of round trips in a week.
Given that the difference between the park and house is 1 kilometer and 575 meters, we can convert it to a total distance of 1.575 kilometers.
In a round trip, the student covers twice the distance between the park and the house, which is 1.575 kilometers * 2 = 3.15 kilometers.
Now, we need to determine how many round trips the student makes in a week. Let's assume the student makes one round trip each day.
Since there are 7 days in a week, the total distance covered by the student in a week's time is 3.15 kilometers * 7 = 22.05 kilometers.
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Write the decimals 0.0026 as a percent.
Move the decimal point 2 spots to the right to convert from decimal form to percent form. This is the same as multiplying by 100.
Other examples:
0.17 = 17%
1.98 = 198%
The population of center city is modeled by exponential function
The range of the exponential function will be y ≥ 250,0003. Then the correct option is B.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
The Population Of Center City Is Modeled By Exponential Function F, Where X Is The Number Of Years After The Year 2015.
The graph is given below.
We know that the exponential function is given as
y = abˣ
For x = 0, y will be 250,000
250,000 = a
For x = 40, y will be 400,000
400,000 = 250,000b⁴⁰
b = 1.0118
Then we have
y = 250,000 (1.0118)ˣ
Then the range of the exponential function will be y ≥ 250,0003.
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on exploration 4.3.3, what is a vertical asymptote for question 2?
A vertical asymptote is a line on the x-axis where the graph of a function approaches infinitely close but does not actually reach. In this case, the vertical asymptote is x = 4.
In exploration 4.3.3, the vertical asymptote for question 2 is at x = -2. Let's see what is meant by a vertical asymptote.What is a vertical asymptote?A vertical asymptote is a line that a function approaches but never touches.
The curve gets arbitrarily close to the vertical line but never touches it. When the function approaches a vertical asymptote, the function approaches infinity or negative infinity.For instance, consider the function f(x) = 1/x. It has a vertical asymptote at x = 0. This is because the function's value becomes increasingly larger as x approaches 0 from the positive side, and the value of the function becomes increasingly smaller as x approaches 0 from the negative side.Therefore, if a curve goes on increasing or decreasing on both sides of a vertical line (called a vertical asymptote), the curve approaches that line but never touches it. This is the basic idea of a vertical asymptote.What is the vertical asymptote for question 2?The rational function f(x) = (x + 2) / [(x + 2)^2 - 4] is being studied in question 2 of exploration 4.3.3. It can be seen that (x + 2)^2 - 4 = (x + 2 - 2)(x + 2 + 2) = (x)(x + 4).Therefore, the denominator (x + 2)^2 - 4 can be written as (x)(x + 4).The vertical asymptotes of a rational function occur where the denominator equals zero. Since the denominator is (x)(x + 4), the vertical asymptotes occur where x = 0 or x = -4.However, x = 0 is not a vertical asymptote because there is a hole in the graph. So, the only vertical asymptote is at x = -2. This means that the curve approaches x = -2 but never touches it. Therefore, the vertical asymptote for question 2 in exploration 4.3.3 is x = -2.
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5x+1=3x-3 solve for x
Answer:
x = -2
Step-by-step explanation:
5x + 1 = 3x - 3
=> 5x - 3x = -1 - 3
=> 2x = -4
=> x = -2
Hoped this helped.
Question 1 Initially, there are 10 crocodiles species A in a controlled river. After 6 months, the number of crocodiles increase to 12 . Assume the growth rate of crocodiles' population, P is directly proportional to the present population. a) Determine the expression of P(t) describing the population of crocodiles at any time t. (5 marks) b) What is the population of crocodiles species A after 2 years? (2 marks) c) How long would it take for the population of crocodiles to reach 30 ? (3 marks)
a) the expression of P(t) describing the population of crocodiles at any time t is: P(t) = 10 * e\(^{(0.1823t)}\)
b) it would take approximately 4.522 time units (months or years, depending on the unit of t) for the population of crocodiles to reach 30.
How to determine how long would it take for the population of crocodiles to reach 30a) To determine the expression of P(t) describing the population of crocodiles at any time t, we can use the formula for exponential growth, which states that P(t) = P0 * e\(^{(rt)}\) where P0 is the initial population, r is the growth rate, and t is the time.
Given that the initial population P0 is 10 crocodiles and the population after 6 months is 12 crocodiles, we can use this information to find the value of r.
Using the formula P(t) = P0 * e\(^{(rt)}\) and plugging in the values, we have:
12 = 10 * e\(^{(r * (6/12))}\)
Simplifying further:
12/10 = e\(^{(r/2)}\)
1.2 = e\(^{(r/2)}\)
To find the value of r, we can take the natural logarithm of both sides:
ln(1.2) = r/2
r/2 ≈ 0.1823
Therefore, the expression of P(t) describing the population of crocodiles at any time t is:
P(t) = 10 * e\(^{(0.1823t)}\)
b) To find the population of crocodile species A after 2 years, we substitute t = 2 into the expression we derived in part a:
P(2) = 10 * e\(^{(0.1823 * 2)}\)
P(2) ≈ 10 * e\(^{(0.3646)}\)
P(2) ≈ 10 * 1.4406
P(2) ≈ 14.406
Therefore, the population of crocodile species A after 2 years is approximately 14.406 crocodiles.
c) To determine how long it would take for the population of crocodiles to reach 30, we can set the population P(t) equal to 30 and solve for t in the expression we derived in part a:
30 = 10 * e\(^{(0.1823t)}\)
3 = e\(^{(0.1823t)}\)
Taking the natural logarithm of both sides:
ln(3) = 0.1823t
t = ln(3) / 0.1823
t ≈ 4.522
Therefore, it would take approximately 4.522 time units (months or years, depending on the unit of t) for the population of crocodiles to reach 30.
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A box contains 4 red cubes, 3 blue cubes, 2 green cubes, and 1 yellow cube. You pick two cubes at random, replacing each after you pick. Find the probability of picking a blue and then a red.
A.3/25
B.9/100
C.3/4
D.4/25
Answer:
Step-by-step explanation:
There are 10 cubes all together.
You want blue and then red with replacement.
Blue
P(B then red) = 3/10 * 4/10 = 12 / 100
12/100 reduces to 3/25
The answer is A
Answer:
A?
Step-by-step explanation:
This is the last one I just really need help I am slow
Answer:
B) 56
Step-by-step explanation:
There are 16 ounces in 1 pound, so first you must convert the 28 pounds to ounces. You do this by multiplying 28 and 16.
28 × 16 = 448
Next, divide 448 by 8 to find out how many servings there are.
448 ÷ 8 = 56
Today only, a sofa is being sold at a 27% discount. The sale price is $511. What was the price yesterday?
Since we have that the sale price is $511, then this represents the 100-27%=73% of the total price. Then, using a rule of three we have:
\(\begin{gathered} 511\rightarrow73\text{ \%} \\ x\rightarrow100\text{ \%} \\ \Rightarrow x=\frac{100\cdot511}{73}=\frac{51100}{73}=700 \\ x=700 \end{gathered}\)therefore, the original price of the sofa was $700
Determine the mean of the following set of numbers: 40, 61, 95, 79, 9, 50, 80, 63, 109, 42
Round to the nearest tenth place. The mean is
Step-by-step explanation:
work is shown and pictured
What are the 3 primary ways to migrate client data to QuickBooks Online
Answer:
Use the Import Data tool. Use the Export Data tool. Enter data manually into the QuickBooks Online forms and check registers. Use the Attachments tool
A story reported results of a voluntary respons study stru online dating The study used online responses of 13.792 pple Of those who responded four swe man and about free fourths had at leat a bachelor's degas One reported
finding was that 29% of men go online intending to cheat identify the persis study are from
a. Sampling tas due to underg
b. Samping is due to the sampling design
c. Response bias
The persistent study is identified from response bias.
So, the correct answer is C.
About the persistent studyA story reported results of a voluntary respons study stru online dating The study used online responses of 13.792 pple. Of those who responded four swe man and about free fourths had at least a bachelor's degree.
One reported finding was that 29% of men go online intending to cheat.The study has several potential sources of bias. The use of self-reported online surveys implies that people who do not have access to the internet or who are reluctant to take online surveys are excluded from the study.
This is a potential source of bias known as non-response bias. People who are more interested in online dating are more likely to participate in the survey. This is a potential source of bias known as self-selection bias.
There are several potential sources of bias in online dating studies. Response bias is one of them. Response bias happens when people are unwilling or unable to provide accurate information. In online dating research, response bias can occur when people misrepresent themselves or give false information.
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in june , john withdrew 1/5 of the money in his savings account. in july he withdrew 1/3 of what remained. in august, he withdrew 1/4 of the remaining balance.if he made no other transactions and ended up with $480 in her account, what did he start with?
Answer
28,800$
Step-by-step explanation:
480 x 4 = 1920 x 3 = 5760 x 5 = 28800