Answer:
1st one: 7920 second: 792
Step-by-step explanation:
First way: you can use a calculator and plug in the values
Second way: you can use the formula for combination and permutation.
Permutation: 11!/ (11-4)!
Combination:12!/(12-5)!*5!
NOTE THAT: 5!= 5*4*3*2*1
Richard klein works as an auto mechanic and earns the following commission rate: 3.00% for oil changes, 5.00% for tune ups and 6.25% on auto part sales. He is guaranteed a minimum salary of $2,450.00 per month. Last month he brought in $2,500.00 in oil changes,$4,500.00 in tune ups and sold $28,200.00 in parts. What is his gross pay for the month?
Answer:
21
Step-by-step explanation:
Richard's gross pay for the month was $ 4,512.5.
It is required to find the gross pay for the month.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
commission rate: 3.00% for oil changes, 5.00% for tune ups and 6.25% on auto part sales.
salary = $2,450.00 per month
Last month salary= $2,500.00 in oil changes,
tune ups=$4,500.00
sold =$28,200.00 in parts.
According to given question we have,
2,450 + (2,500 x 0.03) + (4,500 x 0.05) + (28,200 x 0.0625) = X
2,450 + 75 + 225 + 1,762.5 = X
2,450 + 2,062.5 = X
4,512.5 = X
Therefore, Richard's gross pay for the month was $ 4,512.5.
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Look at the question below.
REASONING A rectangular box has dimensions of x inches by (x+5) inches by (x−2) inches. The volume of the box is 30x cubic inches. Find the dimensions of the box. Write the dimensions in ascending order.
Consider the following generic C comparison function and its assembly language representation C code: byte compbyte a,byte b)/a in rdi,b in rsi Assembly code cmpb %rsi,%rdi set_inst %a1 ret Your jobs(fill-in blank):now sh given values of a and b g SET instruction and the A.5 points set CI SF OF %al setg 47 23 B.5 points set h SF OF %a setl 23 47 C.5 points ZA SF OF %al set sete 23 23 D.5 points CF ZF SF OF 00%1 set b setne 23 47
The correct answer is D. setne 23 47. Based on the provided information, I understand that you have a comparison function in C code and its corresponding assembly code. You are asked to fill in the blanks by selecting the appropriate instructions based on the given values of a and b and the status flags SF, OF, ZF, and CF. Let's go through the options:
A. setg 47 23: This option is incorrect because setg is used to set a byte to 1 if the Greater flag (ZF=0 and SF=OF) is set, but the given values of a and b are 47 and 23, respectively, so it does not satisfy the condition for setg to be set.
B. setl 23 47: This option is incorrect because setl is used to set a byte to 1 if the Less flag (SF≠OF) is set, but the given values of a and b are 23 and 47, respectively, so it does not satisfy the condition for setl to be set.
C. sete 23 23: This option is incorrect because sete is used to set a byte to 1 if the Zero flag (ZF=1) is set, but the given values of a and b are 23 and 23, respectively, so it does not satisfy the condition for sete to be set.
D. setne 23 47: This option is correct. setne is used to set a byte to 1 if the Zero flag (ZF=0) is not set, which means the values of a and b are not equal. In this case, the given values of a and b are 23 and 47, respectively, so they are not equal, and setne should be used.
Therefore, the correct answer is D. setne 23 47
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Bob's salary increased by 11% recently. Bob is
now earning $25.53 an hour. How much was
Bob earning before?
Pls Help on this pls
Answer:
9 is the answer
Step-by-step explanation:
Multiply
Then calculate the sum hope this helps! :)
|-0.8 x 10| Help pls
Please help!!
I have the question in the picture
4x12≤ -8 Anyone know I need help
I don’t get this problem at all-
Answer:
2nd option
Step-by-step explanation:
If AB is a tangent to the circle then ∠ B is right angle
Using the converse of Pythagoras' identity.
If the square of the longest side is equal to the sum of the squares on the other 2 sides, then the triangle is right
longest side = 52 and 52² = 2704
48² + (10 + 10)² = 48² + 20² = 2304 + 400 = 2704
Then AB is a tangent to the circle since ∠ B is a right angle
Please help quick with this question.
Answer:
b = \(\frac{S-2la}{h+l}\)
Step-by-step explanation:
S = bh + lb + 2la ( reversing the equation )
bh + lb + 2la = S ( subtract 2la from both sides )
bh + lb = S - 2la ← factor out b from each term on the left side
b(h + l) = S - 2la ← divide both sides by (h + l)
b = \(\frac{S-2la}{h+l}\)
At Smith Mountain Lake Boat Rentals, it cost $25 per hour to rent a pontoon boat, plus a one-time charge for cleaning. The Bengal family rented a boat from 11 am - 6:30 pm and paid $226.50. If the Jones family rented a boat from 8 am- 1pm, how much did the pay?
Answer: $164
Step-by-step explanation:
25*7=175
175+12.5
226.50-187.50
5*25=125+39
Jones family payed $164
what is 4x-7n=
1. 4
2. 17
3. 10
4.41
???????????????????????
Answer:
0.040 "<" 0.207
Step-by-step explanation:
0.040
0.207
We can see that there is a 2 in 0.207 in the tenths spot, which automatically makes it larger than 0.040.
Write an inequality using the "<" sign:
0.040 < 0.207.
Hope this helps!
12.76=4(u-12.35) find u. HELP PLS
Answer:
21.11
Step-by-step explanation:
Solve T = L(5 + RS) for S
0
Answer:
Step-by-step explanation:
=5
Find mZSGH if mZFGH = 108°
Answer:
22
Step-by-step explanation:
FGH - FGS = SGH
108 - 86 = 22
Answer:
∠ SGH = 22°
Step-by-step explanation:
∠ FGS + ∠ SGH = ∠ FGH , that is
86° + ∠ SGH = 108° ( subtract 86° from both sides )
∠ SGH = 22°
Write an equation of the direct variation that includes the point (- 6, - 16)
Answer:
idek
Step-by-step explanation:
What is the mass percent of cashews in a 10. 0g mixed nut sample if the cashews are 0. 87g?
Answer:
0.87%
Step-by-step explanation:
→ Divide 0.87 by 10
0.87 ÷ 100 = 0.0087
→ Multiply answer by 100
0.0087 × 100 = 0.87
In statistics, if a p-value is less than an alpha set at 0.05, is it considered significant or not?
A p-value less than 0.05 is considered significant because it indicates strong evidence against the null hypothesis.
A p-value is a measure of the strength of evidence against a null hypothesis. It tells you the probability of getting a test statistic as extreme as the one you observed, assuming the null hypothesis is true.
Now, to answer your question, if a p-value is less than an alpha set at 0.05, it is considered significant. This means that there is less than a 5% chance that the observed effect is due to random chance or error.
In other words, the evidence is strong enough to reject the null hypothesis and support the alternative hypothesis.
To better understand this concept, let's consider an example. Suppose we want to test whether a new drug is effective in treating a certain condition.
The null hypothesis is that the drug has no effect, while the alternative hypothesis is that it does have an effect. We conduct a clinical trial with a sample size of 100 patients and find that 60 of them show improvement after taking the drug.
We calculate a p-value of 0.02, which is less than our alpha of 0.05. This means that there is strong evidence to reject the null hypothesis and conclude that the drug is indeed effective.
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Radioactive radium has a half-life of approximately 1,599 years. the initial quantity is 13 grams. how much (in grams) remains after 850 years? (round your answer to two decimal places.)
The quantity of substance remains after 850 years is 8.98g if the half life of radioactive radium is 1,599 years.
The time taken by substance to reduce to its half of its initial concentration is called half life period.
We will use the half- life equation N(t)
N e^{(-0.693t) /t½}
Where,
N is the initial sample
t½ is the half life time period of the substance
t2 is the time in years.
N(t) is the reminder quantity after t years .
Given
N = 13g
t = 350 years
t½ = 1599 years
By substituting all the value, we get
N(t) = 13e^(0.693 × 50) / (1599)
= 13e^(- 0.368386)
= 13 × 0.691
= 8.98
Thus, we calculated that the quantity of substance remains after 850 years is 8.98g if the half life of radioactive radium is 1,599 years.
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2x(x - 1) + 3x – 3 = 0
Answer:
x = -3/2 or x = 1
Step-by-step explanation:
Nathan estimates 67x36 by finding 70x40. Will Nathan's estimate be greater than or less than the actual product? Explain
Answer: Greater than the actual product
Step-by-step explanation: Trust
Write an equation in point-slope form of the line that passes through the point (1, 6) and has a slope of −1/2
Answer:
y-6 = -1/2 * (x-1)
Step-by-step explanation:
Point slope form is y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope. Plug in (1,6) for (x1, y1) and -1/2 for m.
Write in the name of the molecular geometry for each molecule described below.
A molecule with two atoms and no lone pairs around the central atom has a
shape.
A molecule with four atoms and no lone pairs around the central atom has a
shape.
A molecule that has two atoms and two lone pairs around the central atom has a
shape.
A molecule that has five atoms and no lone pairs around the central atom has a
shape.
Answer:
linear
tetrahedral
bent
trigonal-bipyramidal
Step-by-step explanation:
Molecular geometry, also known as the molecular structure, is the three-dimensional structure or arrangement of atoms in a molecule.
a) A molecule with two atoms and no lone pairs around the central atom has a shape -Linear.
b) A molecule with four atoms and no lone pairs around the central atom has a shape- Tetrahedral
c) A molecule that has two atoms and two lone pairs around the central atom has a shape - Bent.
d) A molecule that has five atoms and no lone pairs around the central atom has a shape- Trigonal-bipyramidal.
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A new price of an item is $39.32. The percent increase was 16%. What was the original price?
Answer:
let x =the original price
then 116x/100=$39.32
116x=100×39.32
116x=3932
divide both sides by 116
116x/116=3932/116
x=33.89655
(2dp)
x=33.90
An oil exploration company is struggling to cope with the number of exploratory sites that they need to drill in order to find locations for viable oil wells. There are many potential sites that geologists at the company have identified, but undertaking exploratory drilling at these sites is very expensive. If the company could increase the percentage of sites at which they perform exploratory drilling that actually lead to finding locations for viable wells, they could save a huge amount of money. Currently geologists at the company identify potential drilling sites by manually examining information from a variety of different sources. These include ordinance survey maps, aerial photographs, characteristics of rock and soil samples taken from potential sites, and measurements from sensitive gravitational and seismic instruments. a. Propose two ways in which predictive data analytics could be used to help address the problem that the oil exploration company is facing. For each proposed approach, describe the predictive model that will be built, how the model will be used by the company, and how using the model will help address the original problem. b. For each analytics solution you have proposed, outline the type of data that would be required. c. For each analytics solution you have proposed, outline the capacity that would be needed in order to utilize the analytics-based insight that your solution would provide. 7. Select one of the predictive analytics models that you proposed in your answer to the previous question about the oil exploration company for exploration of the design of its analytics base table. a. What is the prediction subject for the model that will be trained using this ABT ? b. Describe the domain concepts for this ABT. c. Draw a domain concept diagram for the ABT. d. Are there likely to be any legal issues associated with the domain concepts you have included?
Predictive data analytics can be used by the oil exploration company to address their problem by (a) building predictive models to identify high-potential drilling sites based on historical data and (b) using machine learning algorithms to analyze various data sources and identify patterns that lead to successful oil well locations. These approaches will help the company save costs by focusing their exploratory drilling efforts on sites with higher chances of success.
1. Building predictive models: The company can gather historical data on drilling sites, including factors such as geological features, soil characteristics, and measurements from gravitational and seismic instruments. By using this data, they can develop predictive models using machine learning algorithms.
These models will analyze the data patterns and identify the characteristics that correlate with successful oil well locations. The predictive models will provide a probability score or ranking for each potential drilling site, indicating the likelihood of finding viable oil wells.
2. Analyzing various data sources: Another approach is to utilize predictive analytics to analyze multiple data sources simultaneously. The company can integrate data from ordinance survey maps, aerial photographs, rock and soil samples, and other relevant sources.
Machine learning algorithms can be applied to identify patterns and relationships between the collected data and successful oil well locations. This analysis will help the company prioritize drilling sites based on the probability of success, reducing the need for extensive exploratory drilling.
For both proposed approaches, the data required would include historical data on drilling sites, geological features, soil characteristics, measurements from gravitational and seismic instruments, ordinance survey maps, aerial photographs, and other relevant data sources.
To utilize the insights provided by the predictive analytics solutions, the company would need the capacity to store and process large volumes of data. They would also require data analysis tools and infrastructure to run the predictive models and generate actionable insights in a timely manner.
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(Translate sentence into an inequality)
Six increased by the product of a number and 10 is less than -23
Answer:
6 + 10x < -23
Step-by-step explanation:
6 increased by (+) 10x (the product of a number and 10) < (is less than) -23
Find values of m so that the function y xm is a solution of the given differential equation. x^2y''-7xy' 15y=0
If \(y=x^m\) is a solution to the ODE
\(x^2 y'' - 7xy' + 15y = 0\)
then substituting \(y\) and its derivatives
\(y' = mx^{m-1} \text{ and } y'' = m(m-1)x^{m-2}\)
gives
\(m(m-1)x^2x^{m-2} - 7mxx^{m-1} + 15x^m = 0\)
\(m(m-1)x^{m} - 7mx^{m} + 15x^m = 0\)
\((m(m-1) - 7m + 15)x^{m} = 0\)
We ignore the trivial case of \(y=x^m=0\). Solve for \(m\).
\(m(m-1) - 7m + 15 = 0\)
\(m^2 - 8m + 15 = 0\)
\((m - 3) (m - 5) = 0\)
\(\implies \boxed{m=3} \text{ or } \boxed{m=5}\)
4) a researcher is interested in understanding the health needs of the unhoused populations in toronto. what type of sampling strategy do you suggest they use to identify their sample? justify your response with an explanation.
To identify a sample representing the unhoused populations in Toronto, a researcher should use a stratified random sampling strategy.
Stratified random sampling involves dividing the population into subgroups or strata based on relevant characteristics, and then selecting a random sample from each stratum. In the case of studying the health needs of the unhoused populations in Toronto, stratified random sampling would be appropriate for several reasons: Heterogeneity: The unhoused populations in Toronto may have diverse characteristics, such as age, gender, ethnicity, or specific locations within the city. By using stratified sampling, the researcher can ensure representation from different subgroups within the population, capturing the heterogeneity and reducing the risk of biased results.
Targeted analysis: Stratified sampling allows the researcher to analyze and compare the health needs of specific subgroups within the unhoused population. For example, the researcher could compare the health needs of older adults experiencing homelessness versus younger individuals or examine variations between different ethnic or cultural groups.
Precision: Stratified sampling increases the precision and accuracy of the study findings by ensuring that each subgroup is adequately represented in the sample. This allows for more reliable conclusions and generalizability of the results to the larger unhoused population in Toronto.
Overall, stratified random sampling provides a systematic and effective approach to capture the diversity within the unhoused populations in Toronto, allowing for more nuanced analysis of their health needs.
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