Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 42 randomly selected people who train in groups, and finds that they run a mean of 47.1 miles per week. Assume that the population standard deviation for group runners is known to be 4.4 miles per week. She also interviews a random sample of 47 people who train on their own and finds that they run a mean of 48.5 miles per week. Assume that the population standard deviation for people who run by themselves is 1.8 miles per week. Test the claim at the 0.01 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Draw a conclusion and interpret the decision.
A. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.10 level of significance to support Fran's claim that there is a significant difference between the mean number of miles run each week by group runners and individual runners.
B. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.10 level of significance to support Fran's claim that there is a significant difference between the mean number of miles run each week by group runners and individual runners.
C.We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.10 level of significance to support fran's claim that there is a significant difference between the mean number of miles run each week by group runners and individual runners.
D. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.10 level of significance to support Fran's claim that there is a significant difference between the mean number of miles run each week by group runners and individual runners.
Answer:Sorry i have no time to read it all bro
Step-by-step explanation:
In a store 8/300 of the shirts are yellow and 86/600 Are orange what percent of the shirts are not yellow or orange
Answer:
83%
Step-by-step explanation:
8/300 = 16/600
86 + 16 = 102
that leaves 498 that are not yellow or orange
so, 498/600 = 0.83 or 83%
Jason baked 7 pans of brownies. He gave ¼ of the brownies to his two sisters. How many pans of brownies did he give to his sisters? *
Step-by-step explanation:
7×1/4 = 1.75
1.75 ÷ 2 = 0.875 pans each
A cuboid measures 6cm by 3cm by 2cm
Draw a net of the cuboid
Answer:
See attachment for cube
Step-by-step explanation:
Given
[tex]Length = 6cm[/tex]
[tex]Width = 3cm[/tex]
[tex]Height = 2cm[/tex]
Required
The net of the cuboid
A cuboid has 6 faces.
The dimension of these faces are:
Length and Width; Length and Height;
Length and Width; Length and Height;
Width and Height; Width and Height;
This means that the faces will have the following dimensions:
6cm by 3cm; 6cm by 2cm
6cm by 3cm; 6cm by 2cm
3cm by 2cm; 3cm by 2 cm
Taking into account the above measurements and dimensions, you draw 6 faces, then join similar sides lengths.
See attachment for net of the cuboid
Which graph represents the PARENT function of y = x^2+ 3
Answer:
A is the correct graph of the parent function y=x^2
Step-by-step explanation:
While D is the graph of y=x^2+3, it is asking for the parent function. The parent function would be y=x^2 where no transformations have occurred, making A the correct graph
A rice farmer employs 15 men to harvest his crop. The men take 12 days to do the job. If he had employed 9 men, how many days would it have taken them?
Answer:
15 men * 12 days = 180 man-days
180 man-days / 9 men = 20 days
From a project management stand point man-days doesn’t really equate to much so while you can evaluate schedule, you would typically desire to see more information than this.
Step-by-step explanation:
Which equation represents a linear function x=-5, y=3x4+7, x2-1=y, y=15x+10
Answer:
y=15x+10
Step-by-step explanation:
This equation is in slope-intercept form (y=mx+b) which signifies a linear function. Also, linear functions include x to the first degree and no larger. Anything larger than that would be a polynomial.
It is not x=-5 because that would be a straight vertical line.
It is not the second or third equations because x is being raised to the 4th and 2nd powers resulting in polynomial functions.
A rose garden is formed by folning a rectangle and a semicircle, as shown below. The rectangle is 21 ft long and 17 ft wide. If the gardener wants to build a
fence around the garden, how many feet of fence are required? (Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in
your answer.)
Answer:
76 ft of fence is required.
Step-by-step explanation:
21 ft + 17 ft + 21 ft + 17 ft = 76 ft
if 10 bags of ice cost $12, how much does 1 bag cost
Answer:
1.20
Step-by-step explanation:
[tex] 12 \div 10 = 1.20[/tex]
Write the equation of the line passing through the given points.
Answer:
a) y=4x-12
b) 4x-y=12
Step-by-step explanation:
1) Solve for slope: y2-y1/x2-x1: (8-0)/(5-3)=4
2) plug into y=mx+b and solve for b, y=4x+b: 0=4(3)+b, b=-12
3) rearrange into ax+by=c form
This Venn diagram has three regions.
In which region does any rectangle belong?
A
B
C
A Venn diagram that has Region A labeled 4 sides the same length, Region C labeled 4 right angles, and Region B which is the overlap of regions A and C.
What kind of property is used in the following example?
3 x 7 = 7 x 3
Identity Property
Associative Property
Distributive property
Commutative Property
Please help!!
find the value of the trig ratio.
So with sine cosine and tangent, try remembering the following:
Sin : Opposite / Hypotenuse
Cos: Adjacent / Hypotenuse
Tan: Opposite / Adjacent
Or just remember "Soh-cah-toa".
Thinking Process:Anyways, with this, its asking for the sine ratio of angle Z. So we need the opposite side length and the hypotenuse side length
For the opposite side length, look to see where the angle is "opening" up towards, like a door that is opening. With this, Angle Z is opening up towards the Side XY, which has a length of 21.
To find the hypotenuse, it is always the largest side length of a right triangle. It is also where the right angle opens up it's "door" up to. This would be Side XZ, which has a length of 29.
Answer:With both of these, back to the ratio formula:
Sin : Opposite / Hypotenuse
To finish the question, simply plug in the values that were found above.
This will give you:
Sin Z : 21 / 29
This will be Choice A.
Jordan estimated that his paper airplane would fly 42 feet. It actually traveled 50 feet. What was the percent error?
[tex] \huge \mathcal{ Answer࿐}[/tex]
Error (e) = 50 - 42 = 8 feetassumed value (a) = 42 feet[tex] \boxed{ \mathrm{ \% \: error = \dfrac{error}{assumed \: value} \times 100}}[/tex]
[tex] \mathrm{ \% \: error =\dfrac{8}{42}} \times 100[/tex][tex] \mathrm{ \% \: error = \dfrac{800}{42} }[/tex][tex]\mathrm{ \% \: error = 19.04 \%}[/tex]_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
ILL GIVE BRAINLIEST
YOUR FRIEND JUST OPENED THEIR FIRST CREDIT CARD WHAT ADVICE WOULD YOU GIVE THEM BEFORE THEY START MAKING PURCHASES?
Answer:
I would tell them to buy a ps5 for me
Step-by-step explanation:
For a credit card be careful with what you buy, save it for the important stuff. Also make sure to constantly check your credit score and to check your purchases to make sure that only what you purchased is on there.
Find the unit price for both quantities: 5 gallons of enamel paint for $62.00 and 8 gallons for $83.00
Answer:
Unit 1= $12.4 per gallon
Unit 2= $10.375 per gallon
Step-by-step explanation:
Given
[tex]Quantity\ 1= 5\ gallons[/tex]
[tex]Price = \$62.00[/tex]
[tex]Quantity\ 2= 8\ gallons[/tex]
[tex]Price =\$83.00[/tex]
Required
The unit price
The unit price is calculated as:
[tex]Unit = \frac{Price}{Quantity}[/tex]
So, we have:
[tex]Unit\ 1= \frac{Price \ 1}{Quantity\ 1}[/tex]
[tex]Unit\ 1= \frac{\$62.00}{5\ gallons}[/tex]
Unit 1= $12.4 per gallon
[tex]Unit\ 2= \frac{Price \ 2}{Quantity\ 2}[/tex]
[tex]Unit\ 2= \frac{\$83.00}{8}[/tex]
Unit 2= $10.375 per gallon
Which functions graph has a period of 8 and reaches a maximum height of 1 if at least one full period is graphed
Answer: y= -4cos (pi/4x)-3
Step-by-step explanation:
The functions graph that has a period of 8 and reaches a maximum height of 1 if at least one full period is graphed is; y = -4cos(¹/₄πx) - 3
What is the equation of the graph?
The general equation of this is;
y = A cos bx
We are told that the period of the graph is 8
We know that 2π/b = period
Thus;
2π/b = 8
b = ¹/₄π
We are told that the maximum height is 1 if at least one full period is graphed. Thus, amplitude = 4
Thus the required equation is y = -4cos(¹/₄πx) - 3
Read more about period of graph at; https://brainly.com/question/10700288
PQ is the perpendicular bisector of MN what is QN?
PN = PM
6x + 1 = 10x - 17
Add both sides 17
6x + 1 + 17 = 10x - 17 + 17
6x + 18 = 10x
Subtract both sides 6x
6x - 6x + 18 = 10x - 6x
18 = 4x
Divide both sides by 4
18 ÷ 4 = 4x ÷ 4
9/2 = x
x = 9/2
___________________________
QN = 2x + 5
QN = 2 × ( 9/2 ) + 5
QN = 9 + 5
QN = 14
In a certain Algebra 2 class of 27 students, 5 of them play basketball and 12 of them play baseball. There are 2 students who play both sports. What is the probability that a student chosen randomly from the class plays basketball or baseball?
Answer:
[tex]p= \frac{22}{27} =0.814 = 81.4%[/tex]
Step-by-step explanation:
========================================================
Explanation:
A = number of people who play basketball onlyB = number of people who play baseball onlyC = number of people who play both sports5 play basketball, 2 play both, which means 5-2 = 3 play basketball only. So A = 3.
12 play baseball, 2 play both, which means 12-2 = 10 play baseball only. So we have B = 10.
We have A+B+C = 3+10+2 = 15 people who play one sport, or the other, or both. This is out of 27 total. So that's what leads us to the answer 15/27.
On Patrick's bookcase, 64% of the book are paperback, 0.2 are hardcovers with a dust jacket, and the rest are hardcovers without a dust jacket. Which type of book does he have the least number of?
Answer:
The hardcover without a dust jacket.
Step-by-step Explanation
0.2 is 20%, so if you add that to the 64% you can see what the other percentage of books are. 64%+ 20% = 84. So if you subtract 84 from 100 that equals 16, so the other book percentage is 16%, which makes the hardcovers without a dust jacket the least number of books Patrick has.
Write a problem that can be answered using the line plot
Answer:
I cant see anything. . . i dont know if you posted a picture but i didnt get it. . . btw IF SOMEONE SAYS THE EXPLANATION IS IN THIS LINK DO NOT CLICK IT!!!! IT IS A VIRUS. . . I TESTED IT ON MY TEST PC AND IT GAVE ME A VIRUS!!! AGAIN IF ANYBODY GIVES YOU A LINK DO NOT PRESS IT. that being said please tell me the question and i will give you the answer :)
Step-by-step explanation:
Naomi pays $1.50 each time she rides the city bus. She has already ridden the bus 18 times so far this year. The expression 1.50b+1.50(18) represents the amount of money she expects to spend on bus rides for the entire year.
What part of the expression represents the amount of money Naomi expects to spend on bus rides between now and the end of the year?
A
b
B
1.50
C
1.50b
D
1.50(18)
Answer:
D, 1.50(18)
Step-by-step explanation:
just guessing lol
dele took 25 minutes to walk to school and he arrived at exactly 8:00am, at what time did he leave his home
Answer:
Dele ;left home at exactly 7:35
Step-by-step explanation:
hope this helps
URGENT NEED HELP FAST LINKS WILL BE REPORTED
Answer:
Model B
Step-by-step explanation:
First, solve what each model means:
Model A:
6 boxes, 2 shaded
2/6=1/3
1/3 is approximately 33.35
Model B:
8 boxes, 3 shaded
3/8 is 37.5%
this is the answer, but we can go ahead and check the other boxes
Model C:
5 boxes, 2 shaded
2/5 is 40%
Model D:
7 boxes, 3 shaded
3/7 is approximately 42.9%
Lmk if you have more questions!
An airline's public relations department claims that when luggage is lost, 88% is recovered and delivered to its owner within 24 hours. A consumer group who surveyed a large number of air travelers found that 138 out of 160 people who lost luggage on that airline were reunited with the missing items by the next day. At the 0.10 level of significance, do the data provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0. 88? Identify the hypothesis statements you would use to test this. H0: p = 0.88 versus HA : p < 0.88 H0: p < 0.88 versus HA : p = 0.88 H0: p = 0.863 versus HA : p < 0.863
Answer:
The hypothesis statements are: H0: p = 0.88 versus HA : p < 0.88
The p-value of the test is 0.2483 > 0.1, which means that the data does not provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0.88.
Step-by-step explanation:
Test if the proportion of times that luggage is returned within 24 hours is less than 0. 88
At the null hypothesis, we test if the proportion is of 0.88, that is:
[tex]H_0: p = 0.88[/tex]
At the alternate hypothesis, we test if this proportion is less than 0.88, that is:
[tex]H_a: p < 0.88[/tex]
The hypothesis statements are: H0: p = 0.88 versus HA : p < 0.88
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.88 is tested at the null hypothesis:
This means that [tex]\mu = 0.88, \sigma = \sqrt{0.88*0.12}[/tex]
A consumer group who surveyed a large number of air travelers found that 138 out of 160 people who lost luggage on that airline were reunited with the missing items by the next day.
This means that [tex]n = 160, X = \frac{138}{160} = 0.8625[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.8625 - 0.88}{\frac{\sqrt{0.88*0.12}}{\sqrt{160}}}[/tex]
[tex]z = -0.68[/tex]
P-value of the test:
The p-value of the test is the probability of finding a sample proportion below 0.8625, which is the p-value of z = -0.68.
Looking at the z-table, the p-value of z = -0.68 is of 0.2483.
The p-value of the test is 0.2483 > 0.1, which means that the data does not provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0.88.
A sum of money is divided amongst Farah, Shaiyara and Zahin in the ratio 10: 7: 5. If
Shaiyara gets $20 more than Zahin, find the total sum of money shared and the amount
Farah gets.
Answers:
Total amount of money = 220 dollarsAmount Farah gets = 100 dollars==========================================================
Explanation:
F = amount Farah getsS = amount Shaiyara getsZ = amount Zahin getsThe money is divided in the ratio 10:7:5
This means that
F = 10xS = 7xZ = 5xfor some positive real number x.
Since Shaiyara gets $20 more than Zahin, we can say,
S = Z+20
Let's plug in S = 7x and Z = 5x and solve for x
S = Z+20
7x = 5x+20
7x-5x = 20
2x = 20
x = 20/2
x = 10
Therefore,
F = 10x = 10*10 = 100S = 7x = 7*10 = 70Z = 5x = 5*10 = 50The ratio F:S:Z becomes 100:70:50 which reduces fully to 10:7:5 after dividing all three parts by the GCF 10.
The total sum of money shared is 100+70+50 = 220 dollars and Farah gets $100 of that total.
Is this right? If not, what is it? PLEASE
Answer:
It is correct.
Step-by-step explanation:
solve the system by substitution -4x+3y=-2 y=x-1
Answer:
Substitute y=x-1 for y in the first equation to get -4x+3(x-1)=-2
-4x+3x-3=-2
-x-3=-2
-x=1
x=-1
Step-by-step explanation:
Answer:
x = -1
y = -2
Step-by-step explanation:
If you look at the second equation, y is already isolated for us:
y = x - 1
so all we need to do is plug in the value for y into the first equation:
-4x + 3(x - 1) = -2
Next all we do is algebra:
[distribute] -4x + 3x - 3 = -2
[condense] -1x - 3 = -2
[add] -1x = 1
[divide] x = -1
Now that we have the value of x, we can use it to find y by plugging it in to either equation.
y = x - 1
[plug in] y = -1 - 1
[condense] y = -2
Answers: x = -1, y = -2
Find the area of the trapezoid by decomposing it into other shapes. A). 25. B). 25.5. C). 27.5. B). 35
Answer:
C) 27.5
Step-by-step explanation:
C) 27.5
volume of a cube with side length of 5.2 cm.
Answer:
140.608
Step-by-step explanation: