You work for a consumer advocacy agency and want to estimate the populations means cost of monthly maintenance on a car. It is assumed that the average monthly cost of maintenance is $210 dollars. In a random sample of 100 cars, you find the average monthly maintenance cost was $185. Assume that the population standard deviation is known to be $125; Use a 0.03 significance level to test the claim that the population mean weight of cost of maintenance differs from 210 lbs. State the null and alternate hypothesis test
A) H0: μ≤185
Ha: μ>185
B) H0: μ≥210
Ha: μ<210
C) H0=210
Ha: μ=185
D) H0: μ=210
Ha: μ ≠ 210
According to the desired test, the hypothesis are given by:
D) H0: μ=210
Ha: μ ≠ 210
At the null hypothesis, it is tested if the population mean is of 210 lbs, that is:
[tex]H_0: \mu = 210[/tex]
At the alternative hypothesis, it is tested if the population mean differs from 210 lbs, that is:
[tex]H_a: \mu \neq 210[/tex]
Hence, the correct option is:
D) H0: μ=210
Ha: μ ≠ 210
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Twenty young men got a quote for the cost of a car insurance policy. The policy cost and ages of the men are shown in the scatter plot. The
equation for the line of best fit for the data is y=-315.67x + 8986.5 and the correlation coefficient is-0.951.
Select all the statements that are true based on the scatter plot and line of best-fit equation
4,000
3,500
...
3,000
2.500
,,
2,000
1,500
1,000
18
19 20
21 22 23 24 25
D. The line of best fit indicates that, in general, the cost of a car insurance policy for a 21-year-old should be on average, about $315
less than the cost of a car insurance policy for a 20-year-old.
06 The y-intercept from the line of best fit indicates that, if the linear trend holds, a car insurance policy would be 50 for a person who
is about 8,987 years old.
OcEvery 19-year-old in this group has a lower cost of car insurance than the 18-year olds
Od
The value of the correlation coefficient is very close to -1, so there is no association between age and car insurance policy cost.
Car insurance policy cost tends to decrease as the age of the driver increases.
e
The statements that are true based on the scatter plot and the given equation of line of best-fit are:
In general, the line of best fit indicates that, the cost of a car insurance policy for a 21-year-old should be on average of about $315 less than the cost of a car insurance policy for a 20-yr-old.Car insurance policy cost tends to decrease as age of driver increases.Given that the correlation coefficient of -0.951, it suggests that the policy cost and ages of the men as shown in the scatter plot are strongly negatively correlated.
This means that, the lower the higher the age of the men, the lesser the cost of a car insurance policy.
The slope value in the equation, y = -315.67x + 8986.5, is -315.67, which is the average cost of a car insurance policy per year.
Therefore, the statements that are true based on the scatter plot and the given equation of line of best-fit are:
In general, the line of best fit indicates that, the cost of a car insurance policy for a 21-year-old should be on average of about $315 less than the cost of a car insurance policy for a 20-yr-old.Car insurance policy cost tends to decrease as age of driver increases.Learn more about line of best fit on:
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1. A FoodPanda rider believes that his tips from various customers has a slightly right skewness with a mean of RM10 and a standard deviation of RM2.50. a. Calculate the mean and standard deviation of the sampling distribution of this tips for a sample of 25 customers. Describe the shape of its sampling distribution. [4 marks]
Using the Central Limit Theorem, it is found that:
The sampling distribution is slightly right skewed, with mean of RM 10 and standard deviation of RM 0.5.
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, if the sample size is at least 30, the shape is approximately normal, otherwise it still is skewed.In this problem, the mean is of 10 and the standard deviation is of 2.50, hence [tex]\mu = 10, \sigma = 2.5[/tex]
Sample of 25, hence [tex]n = 25, s = \frac{2.5}{\sqrt{25}} = 0.5[/tex]
Since the underlying distribution is skewed and the sample size is less than 30, the shape of the sampling distribution is slightly right skewed.
The sampling distribution is slightly right skewed, with mean of RM 10 and standard deviation of RM 0.5.
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2. Harry puts $5 in his piggy bank every
week. What type of slope does this
scenario describe? Explain.
Answer:
linear
Step-by-step explanation:
Answer:
Linear slope of 5/1
Step-by-step explanation:
The rate is constant.
Hope that helps
i need help btw im 6th grader
Two pieces of equipment were purchased for a total of $5000. If one piece cost $410 more than the other, find the price of the less expensive piece of equipment
Answer: i have never did a math problem like this before because i'm only in the 2nd semester of 7th grade but i will try, i think it is 2090
Step-by-step explanation: 5000 divided by 2 = 2500. then you do 2500-410. 2500-410= 2090. (i hope this will help you and sorry if i did it wrong) :)
❤️‼️‼️‼️‼️‼️‼️‼️❌❌❣️❣️❣️❣️❣️❣️
Answer: a
Step-by-step explanation:
Answer:
it's A
Step-by-step explanation:
what are prime factors of 1000?
Answer:
1,2,4,5,8,10,20,25,40,50,10,125,200,250,500,1000
Step-by-step explanation:
prime factorization is
1000=2*2*2*5*5*5
Mark has a certain amount budgeted for dining out each month. Last month, the difference between the amount he budgeted and the amount he actually spent on dining out was less than -20 dollars.
Which of the following best describes this situation?
A.
Mark is under his budget by less than 20 dollars.
B.
Mark is under his budget by more than 20 dollars.
C.
Mark is over his budget by less than 20 dollars.
D.
Mark is over his budget by more than 20 dollars.
Help help math please please
Answer:
8
Step-by-step explanation:
Jasmine spends $1,089.72 each month for rent and supplies to run her hair salon. If she charges $18 for a haircut, how many haircuts must Jasmine do to cover her monthly expenses? Round to the nearest whole number.
Answer: 61 haircuts
Step-by-step explanation:
What is the equation for the line that is perpendicular to 4x + 2y = 9 that goes through the point (- 8, 5)?
Answer:
[tex]y=\frac{1}{2} x+9.[/tex]
Step-by-step explanation:
1) all the perpendicular lines are: 2x-4y=C, where C - unknown number;
2) if to substitute the coordinates (-8;5) into 2x-4y=C, then C=2*(-8)-4*5= -36;
3) if C= -36, then the required equation is: 2x-4y=-36 or y=1/2 x +9.
4. Prove or disprove the following statement: Given two numbers, increasing both numbers by 10% results in two numbers whose difference is the same as the difference of the two original numbers. Give a numerical example and explain.
Step-by-step explanation:
increase by 10% is the same as multiplying by 1.1.
so, we get the assumption that
x - y = 1.1x - 1.1y = 1.1(x - y)
for the case that x <> y, now we can divide both sides by (x - y) and get
1 = 1.1
and that is wrong in all cases.
so, it is disproven for all x <> y.
for x = y the statement is true, the difference is in both cases 0.
e.g.
100 and 200
the difference is 100
100+10% = 110
200+10% = 220
and the difference is 110 (different to the original 100).
but 100 and 100, sure, the difference is 0, and the difference between 110 and 110 is still 0.
adding a % to a number means the size of the added part depends on the size of the basic number. the same % of a larger number is larger than the same % of a smaller number. therefore, the distance grows.
Determine the quotient of 4/5 divided by 4
Answer:
it will probably be 1/5
hope I am correct and sorry if not.
Simplify.
4x + 2(x + 5) + 1
A) 6x + 6
B) 4x + 8
C) 6x + 11
D) 5x + 8
Answer:
C is your answer for your question
a carpet cleaning service charges a one-time service fee of $100 with an additional $15 per hour for their business. write a linear equation that represents the total cost (y) for the hours work (x)
Answer:
The answer is y= 100 +15x
Step-by-step explanation:
You start with a service fee of $100
$15 per hour
x because the amount of hours can vary
y which is the total cost
y= 100+ 15x
A city park is in the shape of a triangle where
the sides have lengths 170 m, 162 m, and
177 m. If a fence was built around the
perimeter of the park, how long would the
fence need to be?
Answer:
solution here
length
c=170
a=162
b=177
perimeter=?
now,
perimeter of triangle = a+b+c
=170+162+177
=511
perimeter=511 cm
perimeter = length of fence
therefore,the fence should be 511 cm long.
The length of the fence needed would be 509 meters.
What is a triangle?A triangle is a two - dimensional figure with three sides and three angles.The sum of the angles of the triangle is equal to 180 degrees.Given is that a city park is in the shape of a triangle where the sides have lengths 170 m, 162 m, and 177 m.
The length of the fence needed would be the perimeter of the triangle. We can write the perimeter of the triangle as -
P = sum of the side lengths
P = 170 + 162 + 177
P = 509 meters
Therefore, the length of the fence needed would be 509 meters.
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6x + 3 > 26
How do I solve the math problem above
Answer:
x > 23/6
Step-by-step explanation:
Solve this one the same way you would a 2-step linear equation.
6x +3 > 26 . . . . . given
6x > 23 . . . . . . . . subtract the unwanted constant from both sides (step 1)
x > 23/6 . . . . . . . .divide both sides by the coefficient of x (step 2)
__
Additional comment
If the coefficient of the variable in a 2-step linear inequality is negative, then the inequality symbol must be reversed when dividing by that negative number.
What is 13x4=nx26 and tell me the answer
Answer:
There are a couple different solutions to your equation:
[tex]x=0[/tex]
[tex]x=\sqrt[22]{\frac{13}{n}}[/tex]
[tex]x=-\sqrt[22]{\frac{13}{n}}[/tex]
[tex]\:n\ne \:0[/tex]
A clerk is decreasing the price of an item by 15% The original price of an item is ($550
What will the new price be?
The level of significance that determines the area of the critical region for a hypothesis
test, should be chosen before the statistical test findings are evaluated, as to not allow
biasing of the test results by the individuals conducting the hypothesis test.
O True
O False
The Level of significance that determines the area of the critical region for a hypothesis test, should be chosen before the statistical test findings are evaluated, as to not allow biasing of the test results by the individuals conducting the hypothesis test. - False
What is level of significance?Level of significance is the" measurement of the statistical significance. It defines whether the null hypothesis to be accepted or rejected. It is expected to identify if the result is statistically significant for the null hypothesis to be false or rejected. The level of significance, also denote as alpha".
The Level of significance that determines the area of the critical region for a hypothesis test, should be chosen before the statistical test findings are evaluated, as to allow biasing of the test results by the individuals conducting the hypothesis test.
Hence, the given question is False.
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Your restaurant can seat 150 guests. If 6 tables of 6 are seated, what percent of the restaurant seating is still empty?
Answer:
76%
Step-by-step explanation:
First, we know that 6 tables of 6 are already seated. We can go ahead and multiply 6 by 6, which is 36.
This means that 36 of the 150 seats are already taken.
But, we want to find the amount of seats that are still empty. So, we subtract 36 from 150 to get 114 seats.
The question is asking for the percentage, so we can divide 114 by 150 seats to get 0.76. Then, we have to move the decimal to the right 2 spaces to get 76%
Answer:
76% of the restaurant is still empty
Step-by-step explanation:
6 tables of 6 seated means there are currently 36 people seated. If the restaurant can seat 150 people, 76% of the restaurant is still empty.
[tex]6\times6=36\text{ | there are 36 guests}\\36\div150=0.24\text{ | 24\% of the restaurant is filled}\\1-0.24=0.76\text{ | 76\% of the restaurant is not filled}[/tex]
Set A = 3, 4, 7
Set B = 4, 8, 9
What is the union of sets A and B?
Answer:
Step-by-step explanation:
A∩B = 4
en.
If the graph is reflected over the x-axis, what is the
domain of the function?
all real numbers
O all real numbers greater than or equal to 0
O all real numbers greater than or equal to -2
O all real numbers less than or equal to -2
Answer:
Step-by-step explanation:
Domain means all the x's on the graph. The x's that you can literally see on the graph and for what you can't see it's all the x's you can put into the equation...for this graph, when you reflect it across the x-axis it is still the same shape, just a peak instead of a V. So the y's (range) are VERY different on the graph and its reflection. But the x's (that's the domain!) Are all still there, still on the graph, still allowed in the equation. See image
The domain of the function are all real numbers greater than or equal to 0.
What is domain and range of a function?Domain is the set of values for which the given function is defined.
Range is the set of all values which the given function can output.
If the graph is reflected over the x-axis, then we need to find domain of the function.
Domain means all the x values on the graph. The x values that you can literally see on the graph and for what you can't see it's all the x values you can put into the equation...for this graph.
when you reflect it across the x-axis it is still the same shape, just a peak instead of a V.
So the y values (range) are VERY different on the graph and its reflection.
Therefore, The domain of the function are all real numbers greater than or equal to 0.
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A herd of 4 horses has 1 white and some black horses. What is the ratio of while to black
horses?
Answer:
4:1
Step-by-step explanation:
if we assume there are only two types of horses it would be 4 black horses per 1 white
Three more than a positive number is twenty less than it’s square. What is the number ?
Answer:
the +ve no. = 2
Step-by-step explanation:
let the number be x - 3
three more than a positive number = x
acc. to condition
x^{2}x
2
- 20 = x
x^{2} - x - 20 = 0x
2
−x−20=0
x^{2} - 5x + 4x - 20 = 0x
2
−5x+4x−20=0
x(x - 5) +4(x - 5) = 0x(x−5)+4(x−5)=0
(x+4)(x-5) = 0(x+4)(x−5)=0
Case 1
x + 4 = 0x+4=0
x = -4x=−4
the Number cannot be negative because the condition given in question
Case 2
x - 5 = 0x−5=0
x = 5x=5
Hence, the positive number
= x - 3=x−3
= 5 - 3=5−3
= 2=2 hope i help you
i need help 4 my brother
Answer:
$1.50
Step-by-step explanation:
pool: 46.50/6=7.75
beach: 46.25/5=9.25
9.25-7.75=1.5
Convert the decimal or whole number to a percent. 1.15 3/8
Answer:
11.5% and 3.75%
Step-by-step explanation:
since 1.15 is greater than 1, we assume that its taken out of 10
therefore its percent will be 1.15/10*100=11.5%
as for 3/8 (0.375) its less than 1, so we assume its taken out of 1, therefore 0.375/1*100=3.75%
Put these fractions in order from greatest to least:
Answer:
[tex]\dfrac 34 , \dfrac 23 , \dfrac 35[/tex]
Step-by-step explanation:
[tex]\dfrac 34 >\dfrac 23 >\dfrac 35[/tex]
y-2=-2/1(x-4) in slope intercept form
Answer:
y=2x-6
Step-by-step explanation:
y-2=-2/1(x-4)
y-2=2x-8
+2 +2
y=2x-6