Answer:
Least to greatest: -5 1/2, -5.2, -5, -5/2, 5.5
The U.S. Department of Agriculture claims that the mean consumption of coffee by a person in the United States is 24.2 gallons per year. A random sample of 101 people in the United States shows that the mean coffee consumption is 23.5 gallons per year with a standard deviation of 3.2 gallons. At α=0.05, can you reject the claim? Using a P-value, evaluate the claim. Using Rejection Regions for a z-test, evaluate the claim.
Answer:
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to reject the claim
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 24.2 \ gallons \ per \ year[/tex]
The sample size is n = 101
The sample mean is [tex]\= x = 23.5 \ gallons\ per\ year[/tex]
The standard deviation is [tex]\sigma = 3.2 \ gallons[/tex]
The null hypothesis is [tex]H_o : \mu = 24.2[/tex]
The alternative hypothesis is [tex]H_a : \mu \ne 24.2[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{ \= x - \mu }{ \frac{\sigma }{ \sqrt{n} } }[/tex]
=> [tex]z = \frac{ 23.5 - 24.2 }{ \frac{ 3.2}{ \sqrt{ 101} } }[/tex]
=> [tex]z = -2.198[/tex]
From the z table the area under the normal curve to the left corresponding to -2.198 is
[tex]P(Z < -2.198 ) = 0.013975[/tex]
Gnerally the p-value is mathematically represented as
[tex]p-value = 0.013975 * 2[/tex]
=> [tex]p-value = 0.02795[/tex]
From the value obtained we have that [tex]p-value \ < \ \alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to reject the claim
Using the Rejection Regions for a z-test method
Generally from the z table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]z_{critical} = \pm 1.96[/tex]
Not we are using [tex]\frac{\alpha }{2}[/tex] because it is a two - tailed test
Now comparing the critical value and the test statistics we see that the
region covered by the test statistics (i.e [tex]2.198 < z < -2.198[/tex]) is greater than the region covered by the critical value (i.e [tex]1.96 < z < -1.96[/tex])
Hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to reject the claim
State the property that justifies the statement: If 4x + 9 = 15 and X=2y + 1,
then 4(2y+1) + 9 = 15.
Distributive Property
Multiplication Property of Equality
Transitive Property of Equality
Substitution Property of Equality
Answer:
Substitution property of equality
Step-by-step explanation:
Given
[tex]4x + 9 = 15[/tex] and [tex]x = 2y + 1[/tex]
Then
[tex]4(2y + 1) + 9 = 15[/tex]
Required
State the property
From the list of options, (d) answers the question.
This is so because:
Substitution property of equality states that
If [tex]a = b[/tex] then [tex]b = a[/tex]
In other words, both can replace one another.
So if [tex]x = 2y + 1[/tex], then 2y + 1 can be substituted for x in [tex]4x + 9 = 15[/tex]
So:
[tex]4x + 9 = 15[/tex] becomes
[tex]4(2y + 1) + 9 = 15[/tex]
Hence, it is substitution property of equality
-26=b-13
Plz answer I’m a month late on this test
Answer:
B = -13
Step-by-step explanation:
Add 13 to both sides
- 13 = b
rename the fraction 2/5 using tenths and hundredths
Answer:
20/50
Step-by-step explanation:
i think
You earn 18n dollars. How much do you earn for mowing 3 lawns? 9 lawns?
Answer:
I am confused but my best guess would be you would earn 54$ for 3 lawns and 162 for 9
Step-by-step explanation:
You multiply 3 x 18 and 9 x 18
Im sorry if im wrong but i dont know what you were asking
Muffins are sold in packages of 18. Select the expressions that can represent the total number of muffins in p packages of muffins.
A. 18 + p
B. 18 × p
C. 18 – p
D. 18 ÷ p
E. 18p
5.00 minus2.40minus1.33= plz show me how you got that answer step by step
Answer:
5.00 -2.40= 2.60
2.60-1.33= 1.27
The answer is 1.27
Step-by-step explanation:
Carly earned some money doing odd jobs last summer and put it in a savings account that earns 5% interest compounded quarterly. After 2 years, there is $400.00 in the account. How much did Carly earn doing odd jobs? * A. 155.90 B. 441.79 C. 390.18 D. 362.16
"Individuals, cultures, societies, and the world change through times of conflict and cooperation."
The statement above exemplifies the era of global expansion and encounter. What other word also reflects this theme?
Technology
Trade
Monopoly
Hegemony
Which three lengths could be the lengths of the sides of a triangle?
A. 6 cm, 23 cm, 11 cm
B. 10cm, 15cm, 24cm
C. 22 cm, 6 cm, 6 cm
D. 15 cm, 9 cm, 24 cm
Answer:
D. 15 cm, 9 cm, 24 cm
Step-by-step explanation:
The three lengths that could be the lengths of the sides of a triangle, must satisfy the following condition;
---sum of any two smaller sides chosen must be equal to the third side.
Test option A : 6 cm + 11 cm = 17 cm ( 17 cm ≠ 23 cm)
Test option B: 10 cm + 15 cm = 25 cm (25 cm ≠ 24 cm)
Test option C: 6 cm + 6 cm = 12 cm (12 cm ≠ 22 cm)
Test option D: 15 cm + 9 cm = 24 cm (24 cm = 24 cm) ---correct option.
Thus, the three lengths that could be the lengths of the sides of a triangle are 15 cm, 9 cm, and 24 cm
Solve the system by graphing 3x+y=4 and x-y=4
What is 18 percent of 210?
Answer:
WN=37.8
Step-by-step explanation:
WN=18%*210
WN=0.18*210
WN=37.8
Luisa's restaurant bill comes to $85.50, and she leaves a 18% tip. What is Luisa's total
restaurant bill?
Answer:
85.50+15.39=100.89 dollars
Step-by-step explanation:
First, you calculate the tip cost, which is 15.39. Then you add that to the bill which gives you your total :D
Simplify by using the o
3–8(4-9)=
Answer:
-51
Step-by-step explanation:
3-24+72=0
75-24=0
51=0
There is a proportional relationship between time in hours and time in days.
A. What is the constant of proportionality?
B. what equation describes this relationship?
Of the proportional relationship between time in hours and time in days, we have that:
a) The constant of proportionality is 24.
b) The equation is [tex]h = 24d[/tex].
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:[tex]y = kx[/tex]
In which k is the constant of proportionality.Item a:
A day has 24 hours, hence the constant of proportionality is 24.
Item b:
Considering the time in hours as the output and the time in days as the input, the equation is:
[tex]h = 24d[/tex]
You can learn more about proportional relationships at https://brainly.com/question/25815502
Manuel ate lunch in 5 minutes. How many seconds is this?
Answer:
300 seconds
Step-by-step explanation:
1 minute= 60 seconds
5 x 60 = 300
Answer:
1 minute is 60 seconds, so 60 x 5 is 300. So your answer is 300 seconds
Abel Alonzo, Director of Human Resources, is exploring employee absenteeism at the Harrison Haulers Plant. Abel knows that absenteeism varies significantly between departments. For example, workers in the wood shop are absent more than those in the tuning department and the size of the departments ranges from 40 to 120 workers. He orders a random sample of 10 workers from each of the six departments. Abel's sample is a
Answer:
disproportionate stratified sample
Step-by-step explanation:
Based on the given information we can say that Abel's sample is a disproportionate stratified sample. This is the case mainly because the department worker population ranges from 40 to 120 workers. This changing population makes the 10 workers that were chosen for the sample not proportionate to the entire population. Therefore, under different population sizes workers have different chances of getting selected for the study which ultimately creates different results.
A wizard-in-training has 300 grams of 20% liquid-gold solution. He wishes to drain some and replace it with an 80% solution, so that he gets 300 grams of 35% solution. How many grams should the wizard drain and replace with 80% solution?
Answer:
it would take 4 grams. I hope this helps
Answer:
75 grams! hope this helps :3
Find the greatest common factor of 6 and 35
Answer:
6
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
3. 15% of 80 is 12 and 16% of 80 is 12.8. Find each percentage of 80 and be prepared to
explain your reasoning.
Answer:
12.08
Step-by-step explanation:
the easiest way to answer this is to set it up in this equation:
15.1/100 = x/80
in this, 15.1 is the percentage over 100 (because 100% is the most you can get) and x is the number that would be 15.1 percent of 80. Cross multiply so that you get 100x = 1208. Divide both sides by 100 to get x by itself. the end result will be x = 12.08
15.1% of 80 is equal to 12.08.
What is Percentage?A number expressed in the form of a ratio per 100 is termed as the percentage, usually denoted by the sign %. In other words, percentage is a type of fraction whose denominator is 100.
The abbreviations like 'pct' or 'pc' are also used to denote percentage.
Percentage is a dimensionless quantity as they have no dimensions.
Here we have to find the percentage 15.1% of 80.
The percentage of any number can be computed by dividing the number with whole and then multiply with 100.
To compute the percentage value to the original number, we use the reverse process.
15.1% of 80 = 15.1% × 80
= (15.1/100) × 80
= 0.151 × 80
= 12.08
Hence we got the value of 15.1% of 80 as equal to 12.08.
To learn more about Percentage, click on the link given below:
https://brainly.com/question/26497520
#SPJ2
what is the midpoint of the segment shown below ?
If the radius is 21 cm and the angle at
center of circle is 140° then the length of
the arc is ?
Step-by-step explanation:
Given: Radius , r =21 cm
The angle at the center of the circle, n° =140°
Length of an arc =?
W.K.T Formula, Length of an arc = 2πr( n°÷360°) units
= 2*(22/7)*21*(140°/360°)
= 154/3
= 51.33cm
Answer:
2*(22/7)*21*(140°/360°)
= 154/3
= 51.33cm
Step-by-step explanation:
I will give brainliest
Jared is going to plant 20 small plants around the edge of a circular garden that is 8 feet in diameter. If he spaces the plants evenly, how much distance will be between the plants?
25.12 feet
12.56 feet
2.5 feet
1.26 feet
Answer:
2.5 feet
Step-by-step explanation:
20/8=2.5
Sam mows a ¼ of a lawn in ½ of an hour. At this rate, how long will it take him to finish one lawn?
Answer:
Two hours
Step-by-step explanation:
1/4 = 1/2
2/4 = 1
3/4 = 1 1/2
4/4 = 2
I need help for math plz :(
Answer:
Option D
Step-by-step explanation:
Set of data in terms of ordered pairs represents a function when output value of each input value is different.
Option A
Since, for every value of x there is a different value of y, it's a function.
Option B
In each ordered pair, for every value of x there is a different value of y.
Therefore, it's a function.
Option C
From the given graph, for every value of x there is a different value of y.
Therefore, it's a function.
Option D
From the given set of ordered pairs we find for x = 1 there are two values of y (y = 4 and 3).
Therefore, the given set of ordered pairs doesn't represent a function.
Option D is the answer.
Alex mows lawns. He earns $15 per lawn. How much does he earn in 4 days if he mows 5 lawns per day?
Answer:
He would make 300 dollars.
Step-by-step explanation:
15 x 5 = 75
75 x 4 = 300.
Answer:
answer is 300
Step-by-step explanation:
Because if your doing it for 1 day you would have to 15*5 which five you 75. Then you multiple that 75 with the 4 and give you 300 within the 4 days..
Hopes this help.
Can anyone solve this? If so tell me and make sure u know what ur doing please
Answer:
-2
Step-by-step explanation:
To find the slope of a line, you need to find the [tex]\frac{rise}{run}[/tex] between two points. I will be using the points (-3, 2) and (-1, -2).
[tex]\frac{rise}{run}[/tex] = [tex]\frac{-2-2}{-1-(-3)}[/tex]
= [tex]\frac{-2-2}{-1+3}[/tex]
= [tex]\frac{-4}{2}[/tex]
= -2
-8+12 divided by 2 + (-14)
Answer:
-16
Step-by-step explanation:
Answer:
the answer is negitive 12 or -12
multiple of 3 and 5 less than 47 but greater than 42....
Answer:
45
Step-by-step explanation:
45 > 42 but < 47 and it's a multiple of 3 and 5
part two thinking a number between 1 and 10 but doble the money!