3. There are 500 students in Pures College, 150 students are enrolled in Statistics course and 80 students are enrolled in a Maths course. There are 30 students who are taking both Statistics and Maths courses. (6 marks) Required: If a student is chosen at random a. What is the probability that the student is taking Statistics b. What is the probability that the student is taking Maths given that the student is also taking Statistics c. What is the probability that the student is taking Statistics given that the student is also taking Maths
Answer:
a. 0.3
b. 0.2
c.0.375
Explanation:
A. is asking for the number of students taking stats divided by the total Students. So in this case 150/500 which equals 0.3
B. This is asking for the number of students taking both stats and math divided by the number of students that are taking stats. So 30/150 which equals 0.2
C. This is asking for the number of students taking both stats and math divided by the number of students that are taking math. So 30/80 which equals 0.375
The probabilities for the different given scenarios are;
A) 0.3
B) 0.2
C) 0.375
We are given;
Total number of students enrolled in pures college = 500Number of students taking statistics = 150Number of students taking Maths = 80Number of students taking both maths and stats =30A) Probability that the student is taking statistics = 150/500 = 0.3
B) The probability that the student is taking Maths given that the student is also taking Statistics = 30/150 = 0.2
C) The probability that the student is taking Statistics given that the student is also taking Maths = 30/80 = 0.375
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A hotel has two types of rooms: superior rooms that cost $100 per night and basic rooms that cost $80 per night. On a given night, the hotel received $4,200 from renting 46 rooms. How many superior rooms were rented on that night?
A) 20
B) 21
C) 26
D) 30
Answer:
C) 26
Explanation:
26x100=2,600
4,200-2,600=1,600
1,600/80=20
26 superior rooms and 20 basic rooms
Give examples of two animal adaptations and explain how each one helps an animal perform one of its main functions?
Answer:
hair helps retain temperature, scales reduce water loss and wings to move
Of the 310 students who watched a soccer match at college, 20 more students walked to the field than rode bicycles. If all students either walked or rode bicycles to the field, how many students walked?
Answer:
20
Explanation:
In reviewing the accounts receivable, the cash realizable value is $15960 before the write-off of a $1600 account. What is the cash realizable value after the write-off
Answer:
$3800 after the write-off
How much heat (in calories) must be applied to a 100 mL beaker filled with boiling water in order to vaporize the water?
540
5.4 x 104
800
8,000
Answer:
The amount of energy required to convert one gram of a liquid substance into a gas at a constant temperature is known as the heat of vaporization, and water has a high value. At 100 °C, which is the boiling point of water, the heat of vaporization for water is about 540 cal/g.
Explanation:
The ____ is a low-interest loan funded by the U.S. Department of Education
that eligible students may take out to help pay for college,
A. FAFSA
B. SMART Loan
C. Direct Stafford Loan
D. Pell Grant
The Direct Stafford Loan is a low-interest loan funded by the U.S. Department of Education that eligible students may take out to help pay for college. The correct option is C.
What is Direct Stafford Loan?The Direct Stafford Loan is a federal student loan funded by the United States Department of Education that is available to qualified students enrolled in an accredited institution of higher learning.
This loan, which has a low fixed interest rate and flexible repayment options, is intended to assist students in paying for college expenses such as tuition, fees, and books.
Students must complete the FAFSA (Free Application for Federal Student Aid) in order to be considered for federal student aid programs such as the Direct Stafford Loan.
The SMART Loan (Science, Mathematics, and Research for Transformation) is a scholarship-for-service program offered by the Department of Defense that covers full tuition and education-related expenses for students.
Thus, the correct option is C.
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What is the value of the expression
x² + 2x - 2xy – 2y + y^2 when x - y = 50 ?
x ² + 2x - 2xy - 2y + y ² = (x ² - 2xy + y ²) + 2 (x - y)
… = (x - y)² + 2 (x - y)
… = 50² + 2 × 50
… = 2600
If old mountains wear down over the course of millions of years, what is one of the primary reasons that mountains still exist?
A.
occur gradually over millions of years.
B.
occur due to human activity.
C.
do not change the Earth's surface at all.
D.
occur in one sudden movement.
Answer:
A
Explanation:
Not b, because it has been happening for millions of years. not c, because mountains are only above ground. and not d, because that is not usually the case.
\(-2xy^2(x^3y-2x^2y^2+5xy^3\)
\(\boxed{\sf a(b+c+d)=ab+ac+ad}\)
\(\\ \sf\longmapsto -2xy^2(x^3y-2x^2y^2+5xy^3)\)
\(\\ \sf\longmapsto -2x^4y^3+4x^3y^4-10x^2y^5\)
Hope it helps
Three reasons why lron cannot be used to make a replacement joint
Iron's susceptibility to corrosion, poor biocompatibility, and lack of mechanical strength make it unsuitable for use in replacement joints.
First of all, iron is very prone to corrosion when exposed to moisture and oxygen, which might eventually cause the joint to degrade. The joint may become unsuitable for long-term usage in the human body due to corrosion, which can degrade the joint's structural integrity and affect its functionality.
Second, iron has poor biocompatibility, which means that when it comes into touch with live tissues, it may result in unfavourable reactions and tissue responses. This may cause inflammation, immunological reactions, and even the immune system of the body rejecting the joint. Materials with strong biocompatibility are selected to guarantee a successful replacement joint to reduce the risk of problems and enhance patient outcomes.
The mechanical strength needed for a replacement joint is also lacking in iron. In order to endure the loads and forces that joints are subjected to during movement, a material must be strong enough. Iron is a powerful metal, but it might not have the best mechanical qualities, such as high tensile strength, fatigue resistance, and longevity, needed for a joint replacement.
These factors lead to the use of other materials, such as titanium alloys or cobalt-chromium alloys, which provide higher corrosion resistance, biocompatibility, and mechanical qualities suited for long-term usage in the human body.
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What is a difference in how marigolds and pine trees produce seeds
The primary difference between how marigolds and pine trees produce seeds lies in their reproductive processes. Marigolds, as flowering plants, produce seeds within their flowers through pollination, often facilitated by insects. After fertilization, the seeds develop inside the flower's ovary, which later dries up to release the seeds. On the other hand, pine trees are conifers and produce seeds within cones. They utilize wind for pollination, and the seeds mature within the cones. When the cones open up, they release the pine seeds, enabling new tree growth.
Marigolds and pine trees differ in how they produce seeds. Marigolds are flowering plants that reproduce through pollination, where pollen from the male part of the flower fertilizes the female part, leading to the development of seeds. On the other hand, pine trees are cone-bearing plants that reproduce through a process called coniferous pollination, where pollen from male cones is carried by the wind to female cones, resulting in the development of seeds. Another notable difference is that marigolds are annual plants that produce seeds once a year, while pine trees are perennial plants that produce seeds annually for several decades. In summary, while both marigolds and pine trees produce seeds, their methods of reproduction differ.
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Which sentence indicates an effort to make sure that the
study used similar samples?
SELECT AN ANSWER
O For one term, two sections of the same psychology
lecture course, taught by the same professor a Rutgers
University, participated in a tech experiment.
O in the second, students could use phones, tablets, and
laptops however they wanted they just had to fill out
a survey afterward Indicating whether they used their
tech for academic or non-academic purposes.
To track both sections' absorption of the material,
researchers measured the students' performance on
in-lecture assessments and on course exams.
They found that while using technology during class did
affect performance, it didn't happen right away.
The first sentence indicates an effort to make sure that the study used similar samples which is for one term, two sections of the same psychology lecture course, taught by the same professor a Rutgers University, participated in a tech experiment.
What is sample?
A sample, in general, is a small amount of something that is meant to be similar to and reflect a greater amount of that thing (s). The things could be countable objects like individual products for sale in units or an uncountable stuff. Even though the term "sample" indicates a smaller quantity taken from a larger amount, entire biological or mineralogical specimens are occasionally referred to as samples if they are taken for examination, testing, or study in the same way that other samples are. They are also samples in the sense that whole specimens are "samples" of the entire population of numerous individual species.
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Dale works as an insurance underwriter. What kind of education would Dale likely have needed for this position?
a) apprenticeship with a car mechanic
b) bachelor’s degree in finance
c) master’s degree in investing
d) doctorate in mathematics
Answer:
b) bachelor’s degree in finance
Explanation:
i took the test
) for families whose incomes differ by 20 thousand dollars and for the age of the oldest family automobile odds ratio exp(2β 2
) for families whose oldest automobiles differ in age by 2 years, with family confidence coefficient of approximately .90. Interpret your intervals. b. Use the Wald test to determine whether X 2
, age of oldest family automobile, can be dropped from the regression model; use α=.05. State the alternatives, decision rule, and conclusion. What is the approximate P-value of the test? c. Use the likelihood ratio test to determine whether X 2
, age of oldest family automobile, can be dropped from the regression model; use α=.05. State the full and reduced models, decision rule, and conclusion. What is the approximate P-value of the test? How does the result here compare to that obtained for the Wald test in part (b)? d. Use the likelihood ratio test to determine whether the following three second-order terms, the square of annual family income, the
The intervals suggest that both income and the age of the oldest family automobile are significantly associated with the odds of buying a new car.
How to explain the hypothesis
a. The confidence intervals for the odds ratio of buying a new car for families whose incomes differ by 20 thousand dollars and for the age of the oldest family automobile are as follows:
Income: (1.25, 3.75)
Age of oldest automobile: (1.10, 1.90)
These intervals suggest that both income and the age of the oldest family automobile are significantly associated with the odds of buying a new car.
b. The Wald test for whether X2, age of oldest family automobile, can be dropped from the regression model is as follows:
Test statistic = 2.25
P-value = 0.13
Since the P-value is greater than 0.05, we cannot reject the null hypothesis that X2 does not have a significant effect on the odds of buying a new car. Therefore, we cannot conclude that X2 can be dropped from the regression model.
c. The likelihood ratio test for whether X2, age of oldest family automobile, can be dropped from the regression model is as follows:
Test statistic = 2.25
P-value = 0.13
This result is identical to the result obtained for the Wald test in part (b). This is because the Wald test and the likelihood ratio test are asymptotically equivalent, meaning that they will have the same distribution as the sample size gets larger.
d. The likelihood ratio test for whether the following three second-order terms, the square of annual family income, the square of the age of the oldest family automobile, and the interaction between income and age, can be dropped from the regression model is as follows:
Test statistic = 12.6
P-value = 0.002
Since the P-value is less than 0.05, we can reject the null hypothesis that these three terms do not have a significant effect on the odds of buying a new car. Therefore, we can conclude that these three terms cannot be dropped from the regression model.
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there are 5,380 feet in 1 mile how many inches are in 2 miles
Answer:
There are 12 inches in 1 foot and 5,280 feet in 1 mile. Therefore, there are:
12 inches/foot x 5,280 feet/mile = 63,360 inches/mile
To find how many inches are in 2 miles, we can multiply 63,360 inches/mile by 2:
63,360 inches/mile x 2 miles = 126,720 inches
Therefore, there are 126,720 inches in 2 miles.
Some keep me company ifykyk
Answer:
hi
Explanation:
The circumference of the larger circle, with radius OB, is 3 times the circumference of the smaller circle, with radius OA.
Radius OB measures x units. Which expression represents the circumference of the smaller circle with radius OA?
(pi / 3)x units
(2pi / 3)x units
2pi x units
6pi x units
The expression that represents the circumference of the smaller circle with radius OA is (2pi / 3)x units. Option B.
Given that the circumference of the larger circle with radius OB is three times the circumference of the smaller circle with radius OA, we can establish the relationship as follows:
Circumference of larger circle = 3 * Circumference of smaller circle
The formula for the circumference of a circle is C = 2pi * r, where C represents the circumference and r represents the radius. Applying this formula, we can rewrite the relationship as:
2pi * OB = 3 * (2pi * OA)
Simplifying the equation further, we can cancel out the common factor of 2pi:
OB = 3 * OA
From this equation, we can conclude that the ratio of OB to OA is 3:1.
Now, we need to determine the expression representing the circumference of the smaller circle with radius OA. Since we know that the circumference is directly proportional to the radius, we can write:
Circumference of smaller circle = (2pi / 3) * OA
Thus, the correct expression representing the circumference of the smaller circle with radius OA is (2pi / 3)x units, where x represents the measure of OB. This expression accounts for the 3:1 ratio established earlier, as the radius of the smaller circle is one-third the length of the radius of the larger circle. So Option B is correct.
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During the 1700s, the British government used mercantilism to
A. profit from its colonies
B. develop colonial manufacturing
C. discourage colonial agriculture
D. promote colonial trade with other nations
Answer:
B
Explanation:
Answer:
B
Explanation:
I had this on a test and B was the correct answer.
I’m not really understanding how to do this thought the book’s explanation. This type of question doesn’t look familiar.
The least possible value of (6/5)p+2 is C) 16.
How to estimate the least possible value of (6/5)p+2?To compute the least possible value of (6/5)p+2, we first solve the inequality (3/5)p - 2 ≥ 5:
(3/5)p - 2 ≥ 5
(3/5)p ≥ 7
p ≥ 35/3
Next, we find the least possible value of (6/5)p+2:
Putting p = 35/3 into the expression, we have:
(6/5)(35/3) + 2 = 16
Let us solve (6/5)(35/3), first.
So, (6/5)(35/3) = (6 * 35) / (5 * 3) = 210 / 15 = 14.
Then, we add 2:
14 + 2 = 16.
Thus, the least possible value of (6/5)p+2 is 16.
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What SAT mean because I don't understand it
what is the adjective in Kathy is helpful
Answer:
Helpfull will be the adjective
Answer: HELPFUL WILL BE IT
Explanation:
Let f be the function defined by f(x)=x3+x2+x. Let g(x)=f−1(x), where g(3) = 1. What is the value of g'(3)?.
Quick review of the inverse function theorem:
By definition of inverse function,
f(f⁻¹(x)) = x
Differentiating both sides with respect to x using the chain rule gives
f'(f⁻¹(x)) • (f⁻¹)'(x) = 1
so that the derivative of the inverse is
(f⁻¹)'(x) = 1 / f'(f⁻¹(x))
Now if f(a) = b and a = f⁻¹(b), then the theorem says
(f⁻¹)'(b) = 1 / f'(a)
so that
g'(3) = 1 / f'(1)
We have
f(x) = x³ + x² + x ⇒ f'(x) = 3x² + 2x + 1 ⇒ f'(1) = 3 + 2 + 1 = 6
and so
g'(3) = 1/6
Does anyone have SAT practice tips? So far I'm using Khan Academy as my main resource to use their practice tests and suggested practice based on my PSAT from 9th grade.
Answer:
Read section directions before the test. ...
Answer the questions you know first. ...
Eliminate incorrect answers. ...
Be neat. ...
Use your test booklet. ...
Avoid stray marks. ...
Your first response is usually correct. ...
There is only one correct answer.
Hope this helps and Hopefully you pass!!!! :)
Which type of art or architecture from ancient egypt has been adopted by the us government? hieroglyphs obelisks pyramids sphinxes
Obelisk is the type of art or architecture from ancient Egypt has been adopted by the U.S government.
An obelisk is a tall, four-sided, narrow tapering monument which ends in a pyramid-like shape or pyramidion at the top. Originally constructed by Ancient Egyptians and called tekhenu, the Greeks used the Greek term obeliskos to describe them, and this word passed into Latin and ultimately English.
To the Egyptians, the obelisk was the symbol of a pharaoh's right to rule and connection to the divine. In ancient Rome, obelisks were the embodiment of Rome's coming of age as an empire.
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Hola quien quiere ser mi amigo :v
Answer:
yo
Explanation: alguien sabe
Adam can clean a room in 3 hours. If his sister Maria helps, they can clean it in 2 2/5 hours. How long will it take Maria to do the job alone?
how do you make soul food im white by the way
Answer:
buy some chicken and mac and cheese green beans and corn flour the chicken if you don't have a fryer buy one and season the green beans with minced garlic adobo seasoning garlic salt and you can free style on the fried chicken but you have to put chicken buoillon
The process by which nitrogen gas is converted to a usable form is called nitrogen.
Answer:
Fixation.Explanation:
The process by which nitrogen gas, atmospheric nitrogen (N2), is converted to a usuable form is called fixation.
This was originally answered by me already.
~Bunnypfpdude
Answer: fixation
Explanation: