I just took this and got an A, so here are the answers :)
Make sure to take notes or put this with your notes! :))
Answer:
Law of Syllogism: 3
If I do well on my assignments, my grade will improve.
If my grade improves, my parents will be happy.
Therefore, if I do well on my assignments, my parents will be happy.
Not a valid conclusion has been made: 4
If I cook dinner, my daughter will eat.
My daughter ate.
Therefore, I cooked dinner.
Law of contrapositive : 2
If the sun sets, it will be dark outside.
It is not dark outside.
Therefore, the sun hasn't set yet
Law of Detachment: 1
If it is raining, I will use an umbrella.
It is raining.
Therefore, I will use an umbrella.
explanation:
Syllogism:
p → q and q → r then p → r is also true.
Contrapositive:
If not q, then not p.
Detachment:
If p , then q
Benjamin owns a small Internet business. Besides himself, he employs nine other people. The salaries earned by the employees are given next in thousands of dollars (Benjamin's salary is the largest, of course): 30, 30, 45, 50, 50, 50, 55, 55, 60, 75.
Required:
a. Determine the mean, median, and mode for salary.
b. Business has been good! As a result. Benjamin has a total of $25.000 in bonus pay to distribute to his employees. One option for distributing bonuses is to give each employee (including himself) $2500. Add the bonuses under this plan to the original salaries to create a new data set. Recalculate the mean, median, and mode. How do they compare to the originals?
c. As a second option. Benjamin can give each employee a bonus of 5% of his or her original salary. Add the bonuses under this second plan to the original salaries to create a new data set. Recalculate the mean, median, and mode. How do they compare to the originals?
d. As a third option, Benjamin decides not to give his employees a bonus at all. Instead, he keeps the $25,000 for himself. Use this plan to create a new data set. Recalculate the mean, median, and mode. How do they compare to the originals?
Answer:
a) mean μ = 50 median M = 50 mode Md = 50
b) mean μ₂ = 52,5 median M = 52,5 mode Md = 52,5 all vales increased in 2,5 ( thousands of $) the same quantity of individuals incements
c) mean μ₃ = 52,50 median M = 52,5 mode Md = 52,5 The same values obtain in b)
d) mean μ₃ = 52,50 median M = 50 and Mode 50
Step-by-step explanation:
a) Mean μ is the average then:
30 30 45 50 50 50 55 55 60 75
μ = 50
The median M, is the central (fifth value) 50
And the mode
Md = 50
b) Adding 2,5 ( in thousands of $) to each one of the employees
32,5 32,5 47,5 52,5 52,5 52,5 57,5 57,5 62,5 77,5
The mean μ₂ = 52,5 $, since the average value has to be increased by the common increased number
The median M = 52,5 and also the mode Md = 52,5
c) 31,5 31,5 47,25 52,5 52,5 52,5 57,75 57,75 63 78,75
The mean μ₃ = 52,50
The median M = 52,50
The Mode Md = 52,50
d) 30 30 45 50 50 50 55 55 60 100
μ₄ = 52,5
Median M = 50
Mode Md = 50
Divide polynomials using long division
(10h+20)÷(h+2)
Answer:
10
Step-by-step explanation:
Put the h+2 on the outside and 10h+20 on the inside
h+2 can go into 10h+20 ten times.
So the final answer is 10
#9A
What is a reasonable first step to solve for y?
1/ 4x + 3y = 2z
The output from the machine depends on the input to to
A.
B.
C.
D.
Answer:
i think its B
Step-by-step explanation:
Helppp need help (p.s: Zearn
(50×20) - (1×20)
Step-by-step explanation:
there is 50 twenties (20) so its 50 × 20 and 1 twenty is 20
To find the quotient of 8 divided by one-third, multiply 8 by
One-eighth.
One-third.
3.
8.
Answer:
The answer is 3
Step-by-step explanation:
To find the quotient of 8 divided by 1/3 multiply 8 by
8/1 divided by 1/3
8 x 3
-------
1 x 1
=
24/1
=
24
The quotient of 8 divided by one-third is same as multiply 8 by 3.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
The quotient of 8 divided by one-third.
Now, We get;
The quotient of 8 divided by one-third.
⇒ 8 ÷ 1/3
⇒ 8 × 3
Thus, It is clear from the above steps that dividing 8 by 1/3 is equivalent to multiplying 8 by 3.
Therefore, Multiplying 8 by 3 will give the same quotient.
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Would 3.99. million flies or 47,000,000 ants have a greater mass
Ants
Step-by-step explanation:
350 - 15x = 200 - 10x
Sam’s Jet Ski rental charges $350 to rent a jetski plus $15 per hour. Brian’s Jet Ski rental charges $200 to rent a jetski plus $10 per hour
Steven has an account with $350 in it and he withdrawals $15 per day. Jessica has an account with $200 and withdrawals $10 per day.
Water tank A has 350 gallons of water and is losing 10 gallons per minute. Water tank B has 200 gallons of water and is losing 15 gallons per minute
Tree A has a height of 350 centimeters and is growing at a rate of 15 cm per day. Tree B has a height of 200 centimeters and is growing at a rate of 10 centimeters per day
Answer
Steven has an account with $350 in it and he withdrawals $15 per day. Jessica has an account with $200 and withdrawals $10 per day.
find the value of 2 devide3times16
Answer:
32/3
Step-by-step explanation:
Function P models the profit, P(x), a fitness company earns for making and selling x water bottles.
P(x) = -000.5(x + 40)(x - 20)(x - 200)(x + 5)
For which numbers of water bottles will the company's profit equal $0?
0
20
40
200
5
Answer:
The answer is 20 and 200.
Step-by-step explanation:
what is the sum a 23 and 4 /4
Answer:
the anwser is 24 please mark brianliest
Answer:
The answer is 24.
Big chickens: The weights of broilers (commercially raised chickens) are approximately normally distributed with mean 1387 grams and standard deviation 192 grams. Use the TI-84 Plus calculator to answer the following. (a) What proportion of broilers weigh between 1150 and 1308 grams? (b) What is the probability that a randomly selected broiler weighs more than 1510 grams? (c) Is it unusual for a broiler to weigh more than 1610 grams? Round the answers to at least four decimal places.
Answer:
a) 0.2318
b) 0.2609
c) No it is not unusual for a broiler to weigh more than 1610 grams
Step-by-step explanation:
We solve using z score formula
z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
Mean 1387 grams and standard deviation 192 grams. Use the TI-84 Plus calculator to answer the following.
(a) What proportion of broilers weigh between 1150 and 1308 grams?
For 1150 grams
z = 1150 - 1387/192
= -1.23438
Probability value from Z-Table:
P(x = 1150) = 0.10853
For 1308 grams
z = 1308 - 1387/192
= -0.41146
Probability value from Z-Table:
P(x = 1308) = 0.34037
Proportion of broilers weigh between 1150 and 1308 grams is:
P(x = 1308) - P(x = 1150)
0.34037 - 0.10853
= 0.23184
≈ 0.2318
(b) What is the probability that a randomly selected broiler weighs more than 1510 grams?
1510 - 1387/192
= 0.64063
Probabilty value from Z-Table:
P(x<1510) = 0.73912
P(x>1510) = 1 - P(x<1510) = 0.26088
≈ 0.2609
(c) Is it unusual for a broiler to weigh more than 1610 grams?
1610- 1387/192
= 1.16146
Probability value from Z-Table:
P(x<1610) = 0.87727
P(x>1610) = 1 - P(x<1610) = 0.12273
≈ 0.1227
No it is not unusual for a broiler to weigh more than 1610 grams
An electrican's shop charges $55
service fee plus $50 per hour for labor.
The linear equation that models
C= $50+ $55, where h is the number of labor hours and C is the total cost.
How much would the shop charge a customer for a job that takes 17hrs?
Answer:
$905
Step-by-step explanation:
$50×h+55=?
h=17 and you pay so $50×h
so $50×h=850
so now that you calculated the cost of the labor add the $55 dollar service fee
850+55=905
In , the Pew Internet & American Life Project asked teens aged to several questions about their attitudes toward social media. The results showed that say social media makes them feel more connected to what is going on in their friends' lives; say social media helps them interact with a more diverse group of people; and feel pressure to post content that will get a lot of likes and comments.
Round your answers to four decimal places.
a. Develop a point estimate of the proportion of teens aged to who say social media makes them feel more connected to what is going on in their friends' lives.
b. Develop a point estimate of the proportion of teens aged to who say social media helps them interact with a more diverse group of people.
c. Develop a point estimate of the proportion of teens aged to who feel pressure to post content that will get a lot of likes and comments.
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
[tex]\^ p_1 = 0.8102 [/tex]
b
[tex]\^ p_2 = 0.6904 [/tex]
c
[tex]\^ p_3 = 0.3701 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 743
The number that said social media makes them feel more connected to what is going on in their friends' lives is k = 602
The number that said social media helps them interact with a more diverse group of people is y = 513
The number that said feel pressure to post content that will get a lot of likes and comments is c = 275
Generally a point estimate of the proportion of teens aged 13 to 17 who say social media makes them feel more connected to what is going on in their friends' lives is mathematically represented as
[tex]\^ p_1 = \frac{k}{n}[/tex]
=> [tex]\^ p_1 = \frac{602}{743 }[/tex]\
=> [tex]\^ p_1 = 0.8102 [/tex]
Generally a point estimate of the proportion of teens aged 13 to 17 who say social media helps them interact with a more diverse group of people is mathematically represented as
[tex]\^ p_2 = \frac{k}{n}[/tex]
=> [tex]\^ p_2 = \frac{513}{743 }[/tex]\
=> [tex]\^ p_2 = 0.6904 [/tex]
Generally a point estimate of the proportion of teens aged 13 to 17 who feel pressure to post content that will get a lot of likes and comments is mathematically represented as
[tex]\^ p_3 = \frac{k}{n}[/tex]
=> [tex]\^ p_3 = \frac{275}{743 }[/tex]
=> [tex]\^ p_3 = 0.3701 [/tex]
The point estimate of the teens aged to who say social media makes them feel more connected is 0.8102.
How to calculate the point estimateThe point estimate of the proportion of teens aged to who say social media makes them feel more connected to what is going on in their friends' lives will be:
= Number of teens / Sample size
= 602/743
=™0.8102
The point estimate of the proportion of teens aged to who say social media helps them interact with a more diverse group of people will be:
= 513/743
= 0.6904
The point estimate of the proportion of teens aged to who feel pressure to post content that will get a lot of likes and comments will be:
= 275/743
= 0.3701
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Loren spent $42.25 to fill her car with 13 gallons of gas. How much did Loren pay per gallon?
Answer: 3.25
Step-by-step explanation: What I did was Multiply 42.25 by 100 ( To make it easier) and then divide it by 13. After that, I divided the quotient by 100 to get the real answer, which was 3.25
Let me know if I was helpful or not!
The manager of a technology store wants to save $20,000 in 3 years to make a down payment on a condominium. How much (in dollars) does the manager need to invest at the beginning of each week into an account that earns 7.25% interest compounded weekly
Answer:
$16,104.35Step-by-step explanation:
the expression for compound interest is given as
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
A=$20,000
P=?
r=7.25%=0.0725
n=52 weeks
t=3 year
[tex]20000= P(1 + \frac{0.0725}{52})^{52*3}\\\\20000= P(1 + \frac{0.0725}{52})^{156}\\\\20000= P(1 +0.00139)^{156}\\\\20000= P(1.00139)^{156}\\\\20000=1.2419P\\\\P=20000/1.2419\\\\P=16104.35\\[/tex]
the manager need to invest $16,104.35
Wite the number
in standered form 80+9=
Answer:
89
eighty-nine
help with math pls pls
Answer:
62 degrees
Step-by-step explanation:
If 167 degrees is the whole angle measurement, then you take 167-105.
find the slope of the graphed line
Answer:
B
Step-by-step explanation:
y2-y1/x2-x1
4-2/4-0
2/4=1/2
Answer: 1/2
Explanation: the equation is y = 1/2x + 2
What is the slope of the line that passes through the points (4,2) and (-16, -10)?
Write your answer in simplest form.
Answer:
3/5
Step-by-step explanation:
Answer:
Yup the answer is 3/5 :))
Step-by-step explanation:
Help please
-x^3 = 216
a. +/- 6
B. 6
C. -6 ∛6
D. -6
Answer:
D. -6
Step-by-step explanation:
SInce x is negative, the - before the six would be cancelled out leaving the equation to be 6^3=216 which is correct
Pls help me plssss. Bella measured the heights of her corn stalks in centimeters. The heights are 81, 88, 69,65, 87.
What is the mean height of Bella's corn stalks? ——————————
O A 69 cm
O B. 75 cm
O C. 78 cm
OD 80 cm
O E 81 cm
Answer:
the answer is C. 78
Step-by-step explanation:
First, you have to add together 81, 88, 69, 65, and 87; its total is 390. The next step is to see how many numbers there are. In total there are 5 numbers. Lastly, you have to divide 390 by 5 which is 78.
If c = 2m + d , which equation represents m ?
A.m=c- d/2
B.m=d-2c
C.m=c/2-d
D.m= c-d/2
Answer:
c
Step-by-step explanation:
c/2-d
this is an simplified or not?
[tex] \frac{3}{x - 5?} [/tex]
Question 1. Write a function called simulate that generates exactly one simulated value of your test statistic under the null hypothesis. It should take no arguments and simulate 50 area codes under the assumption that the result of each area is sampled from the range 200-999 inclusive with equal probability. Your function should return the number of times you saw the 781 area code in those 50 random spam calls.
Answer:
The function written in python is as follows:
import random
def simulate():
count = 0
for i in range(1,51):
num = random.randint(200,1000)
if num == 781:
count = count + 1
print(count)
Step-by-step explanation:
This line imports the random library
import random
This line defines the function
def simulate():
This line initializes count to 0
count = 0
This line iterates from 1 to 50
for i in range(1,51):
This line generates random number between 200 and 999
num = random.randint(200,1000)
This line checks if random number is 781
if num == 781:
If yes, the count variable is incremented by 1
count = count + 1
This line prints the number of times 781 is generated
print(count)
The FIFO method of computing equivalent units excludes the beginning inventory costs in computing the cost per equivalent unit for the current period.
Answer:
Yes
Step-by-step explanation:
The FIFO method of process costing assumes that the opening work in process is the first group of units to be processed and completed during the current period. The opening work in progress is charged separately to completed production and the cost per unit is based only on the current period costs and the production for the current period. The closing work in process is assumed to come from the new units started during the period.
A chemist is performing an experiment by observing the effects when she combines two solutions. She monitors the temperature of the combined solution over the course of eight hours and records it in this table below.
The chemist can model the temperature with a polynomial function. During these eight hours, over what interval is the temperature decreasing?
A. From hour 0 to hour 8
B. From hour 5 to hour 8
C. From hour 0 to hour 5
D. From hour 2 to hour 6
Answer:
A. From hour 0 to hour 5
Step-by-step explanation:
For all Plato users
Interval of the temperature decreasing is from hour 0 to hour 5.
What is interval?
an interval is defined as a group of numbers which includes all numbers between the beginning and the end.
According to given data is showing that the temperature decreasing zero hour to 1 hour , then 1 to 2 hour, then 2 to 3 hour, then 3 to 4 hour, then 4 to 5 hour.
So the interval of the temperature decreasing is from hour 0 to hour 5.
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I need help with this question
Answer:
49 or 1
Step-by-step explanation:
answer 1 14+10+13+12=49 answer 2 (14+10)-(13+12)=1
Andy is scuba diving. He starts at sea level and then descends 10 feet in 212 minutes.
Descent = 10 feet
Time required = 2 1/2 minutes.
The rate of descent = (10 feet)/(2.5 mn) = 4 ft/min
In 6 minutes, the descent will be
(4 ft/min)*(6 min) = 24 ft
Answer:
(a) 4 feet/minute
(b) 24 feet
Every time you have your cholesterol measured, the measurement may be slightly different due to random fluctuations and measurement error. Suppose that for you, the population of possible cholesterol measurements if you are healthy has a mean of 190 and a standard deviation of 10. Further, suppose you know you should get concerned if your measurement ever gets up to the 97th percentile. What level of cholesterol does that represent?
Complete Question
The complete question is shown on the first uploaded image
Answer:
a i
[tex]P(X < 185 ) = 0.3085 [/tex]
a ii
[tex]P(X > 195 ) = 0.3085 [/tex]
a iii
[tex]P(185 < X < 195 ) = 0.3829 [/tex]
b
[tex]x = 208.8[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 190[/tex]
The standard deviation is [tex]\sigma = 10[/tex]
Generally the probability is less than 185 is mathematically represented as
[tex]P(X < 185 ) = P(\frac{X - \mu }{\sigma } < \frac{185 - 190 }{10 } )[/tex]
Generally [tex]\frac{X - \mu }{\sigma } = Z (The \ standardized \ value \ \ of \ X)[/tex]
=> [tex]P(X < 185 ) = P(Z< -0.5)[/tex]
From the z-table the p value of (Z< -0.5) is
[tex]P(Z< -0.5) = 0.3085[/tex]
So
[tex]P(X < 185 ) = 0.3085 [/tex]
Generally the probability is less than 185 is mathematically represented as
[tex]P(X > 195 ) = P(\frac{X - \mu }{\sigma } > \frac{195 - 190 }{10 } )[/tex]
=> [tex]P(X > 195 ) = P(Z > 0.5)[/tex]
From the z-table the p value of (Z > 0.5) is
[tex]P(Z > 0.5) = 0.3085[/tex]
So
[tex]P(X > 195 ) = 0.3085 [/tex]
Generally the probability is less than 185 is mathematically represented as
[tex]P(185 < X < 195 ) = P( \frac{185 - 190 }{10 } < \frac{X - \mu }{\sigma } < \frac{195 - 190 }{10 } )[/tex]
=> [tex]P(185 < X < 195 ) = P(-0.5 < Z > 0.5)[/tex]
=> [tex]P(185 < X < 195 ) = P(Z < 0.5 ) - P(Z < -0.5) [/tex]
From the z-table the p value (Z < 0.5) and (Z < -0.5) is
[tex]P(Z < 0.5) = 0.6915 [/tex]
and
[tex]P(Z < - 0.5) = 0.3085[/tex]
So
=> [tex]P(185 < X < 195 ) = 0.6915 - 0.3085 [/tex]
=> [tex]P(185 < X < 195 ) = 0.3829 [/tex]
Generally the level of cholesterol the 97th percentile represents is mathematically evaluated as
[tex]P(X < x ) = 0.97[/tex]
=> [tex]P(X < x ) = P(\frac{X - \mu}{\sigma } < \frac{x - 190}{10 } ) = 0.97[/tex]
=> [tex]P(X < x ) = P(Z < \frac{x - 190}{10 } ) = 0.97[/tex]
From the z-table the z-score for 0.97 is
[tex]z-score = 1.88[/tex]
=>
[tex]\frac{x - 190}{10 } = 1.88[/tex]
=>[tex]x = 208.8[/tex]