Using the t-distribution, it is found that the data does not provide convincing evidence that the mean number is greater when the coupons were addressed to a female.
What are the hypothesis tested?At the null hypothesis, it is tested if there is no difference, that is, the mean is of 0, hence:
[tex]H_0: \mu = 0[/tex]
At the alternative hypothesis, it is tested if the mean number is greater for females, that is, the mean is greater than 0, hence:
[tex]H_1: \mu > 0[/tex]
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.In this problem, the parameters are given as follows:
[tex]\overline{x} = 1.5, \mu = 0, s = 4.75, n = 50[/tex].
Hence, the test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{1.5 - 0}{\frac{4.75}{\sqrt{50}}}[/tex]
t = 2.23
What is the conclusion?Considering a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.01 and 50 - 1 = 49 df, the critical value is given by [tex]t^{\ast} = 2.4[/tex].
Since the test statistic is less than the critical value for the right-tailed test, the data does not provide convincing evidence that the mean number is greater when the coupons were addressed to a female.
More can be learned about the t-distribution at https://brainly.com/question/26454209
If x is an even integer greater than 3, then, in terms of
what is the next greatest even integer?
A. X^2
B. 2x
C. X+3
D. X+2
Answer:
x^2
Step-by-step explanation:
Any even number raised to two is even.
Eg: 4^2 = 16
12^2 = 144
Etc...
And
Any odd number raised to two is odd.
Eg: 5^2 = 25
13^2 = 169
Etc...
And also x^2 is greater than 2x & x+3 & x+2
Which statement is true?
A. the greatest common factor of 10 and 14 is 5.
B. the greatest common factor of 10 and 15 is 5.
C. the greatest common factor of 13 and 21 is 3.
D. the greatest common factor of 14 and 21 is 3.
Answer:
B. the greatest common factor of 10 and 15 is 5.
Step-by-step explanation:
A. is worg 14 cannot be divided by 5
C. is wrong 13 cannot be divided by 3
D. is wroing 14 cannot be divided by 3
I mean they all can but you won't get the whole numbers only fractions.
Option B
Step-by-step explanation:Let's check each option one by one.
A) The greatest common factor of 10 and 14 is 5.
Write down the factors of 10 and 14.
⇒ Factors of 10: 1, 2, 5, 10
⇒ Factors of 14: 1, 2, 7, 14
We can see here that the GCF is "1" as it is the greatest factor of 10 and 14.
Hence, option A is incorrect.
B) The greatest common factor of 10 and 15 is 5.
Write down the factors of 10 and 15.
⇒ Factors of 10: 1, 2, 5, 10
⇒ Factors of 15: 1, 3, 5, 15
We can see here that the GCF is "5" as it is the greatest factor of 10 and 15.
Hence, option B is correct.
C) The greatest common factor of 13 and 21 is 3.
Write down the factors of 13 and 21.
⇒ Factors of 13: 1 and 13
⇒ Factors of 21: 1, 3, 7, 21
We can see here that the GCF is "1" as it is the greatest factor of 13 and 21.
Hence, option C is incorrect.
D) The greatest common factor of 14 and 21 is 3.
Write down the factors of 14 and 21.
⇒ Factors of 14: 1, 2, 7, 14
⇒ Factors of 21: 1, 3, 7, 21
We can see here that the GCF is "7" as it is the greatest factor of 14 and 21.
Hence, option D is incorrect.
Thus, Option B is correct.
12 pennies 9 nickels 23 dimes and 16 quarters
Answer:$6.87
Step-by-step explanation:
if you add them up you end up wit $6.87
BRAINLIEST AND 50 POINTS FOR WHOEVER ANSWERS FIRST
Answer:
7
Step-by-step explanation:
There are seven t's that equal 49. So do 49 divided by 7. Therefore, t = 7.
Hi!
In the picture, we can see that 7 of the t's are equal to 49. We can set this up using an equation:
[tex]7t=49[/tex]
Now, in order to solve for t, we must divide both sides by 7 to isolate the variable on one side of the equal sign:
[tex]\cfrac{7t}{7} =\cfrac{49}{7}[/tex]
Simplify:
[tex]t=7[/tex]
Therefore, t = 7 makes the equation true.
We can also check our work. On the scale, 7 t's are equal to 49, remember? So if there are 7 t's, and each t is equal to 7, we do 7 * 7 which is equal to 49.
49=49 ✔️
Is 28110 divisible by 10?
Answer:
yes
Step-by-step explanation:
Distinct Factors of 28110 = 1, 2, 3, 5, 6, 10, 15, 30, 937, 1874, 2811, 4685, 5622, 9370, 14055, 28110
Yes it is and the answer would be 2811
Can you pls help me
Sammy has a bag with 3 white marbles, 4 yellow
marbles, and 5 green marbles. What is the
probability of drawing a white marble followed
by a yellow marble, without replacing the white
marble?
HELP LOVE
The probability of drawing a white marble followed by a yellow marble, without replacing the white marble is 0.091
How to determine the probability?The distribution of the marbles is given as:
White = 3
Yellow = 4
Green = 5
Total = 12
The probability of selecting a white marble is:
P(White) = 3/12
Now, there are 11 marbles left.
The probability of selecting a yellow marble is:
P(Yellow) = 4/11
The required probability is:
P = 3/12 * 4/11
Evaluate
P = 0.091
Hence, the probability of drawing a white marble followed by a yellow marble, without replacing the white marble is 0.091
Read more about probability at:
https://brainly.com/question/251701
#SPJ1
What is the equation to find the Surface Area for a Cone?
Answer:
A=πr(r+h2+r2)
Step-by-step explanation:
literally just search it up
Netflix is considering a new romcom (romantic comedy) series. Before making a final decision, the producers design an experiment to estimate the proportion of viewers who would watch the series. A random sample of 1,040 viewers was selected and asked to watch the first two episodes. After viewing the episodes, 650 viewers indicated they would watch the new series. (Use t Distribution Table & z Distribution Table. ) (Round your answers to 3 decimal places. )
Required:
a. Estimate the value of the population proportion of people who would watch the new series.
b. Develop a 99% confidence interval for the population proportion of people who would watch the new series.
Using the z-distribution, as we are working with a proportion, it is found that:
a) The population proportion is of 0.625.
b) The interval is (0.586, 0.664).
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.
The sample size and the population proportion are given, respectively, by:
[tex]n = 1040, \pi = \frac{650}{1040} = 0.625[/tex]
Hence, the bounds of the interval are given by:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.625 - 2.575\sqrt{\frac{0.625(0.375)}{1040}} = 0.586[/tex]
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.625 + 2.575\sqrt{\frac{0.625(0.375)}{1040}} = 0.664[/tex]
More can be learned about the z-distribution at https://brainly.com/question/25890103
Nate is 10 9/12 years old.How old will he be in 2 5/12 more years?
Answer:
13 1/6 years old
Step-by-step explanation:
10 9/12 + 2 5/12 = 12 14/12 simplifies to 13 2/12 or 13 1/6
Can someone please help me with this ty!!
Classify the triangle by its sides and angles
5.5in
5.5in
1.5in
Answer:
That would be an isosceles triangle.
Step-by-step explanation:
Isosceles triangles have two sides the same length and one side a different length. I hope this helps! :)
Answer:
Isosceles Triangle
Step-by-step explanation:
A triangle having two sides of equal length is an isosceles triangle.
It's two sides are equal which are 5.5 in , 5.5 in and the third one is not equal 1.5 in
Adam makes $632 gross income per week and has claimed four allowances. according to the table below, what is adam’s net income after tax withholding? for weekly income between 630 and 640 dollars and claiming 4 allowances, the weekly withholding is 99 dollars. a. $99 b. $533 c. $731 d. $502
Adam's net income after a tax withholding will be 533 dollars. Then the correct option is B.
What is subtraction?It simply means to deduct something from the object or number of group, place, etc. Subtraction means to take away from the group or a number of objects.
Adam makes $632 gross income per week and has claimed four allowances.
The weekly withholding is 99 dollars.
Adam's net income after a tax withholding will be
⇒ $632 - $99
⇒ $533
More about the subtraction link is given below.
https://brainly.com/question/4319655
solve for x - 10 = x-7 / 3
Answer: 23/2 or 11.5
Step-by-step explanation:
x - 10 = (x - 7) / 3
3 (x - 10) = x - 7
3x - 30 = x - 7
3x - x = 30 - 7
2x = 23
x = 23/2 answer...
change it into decimal form
x = 11.5 answer...
note: 23/2 or 11.5 both could be the answers
hope that helps...
Answer:
x = 23/2 or 11.5
Step-by-step explanation:
Step 1: Multiply both sides by 3.
[tex]3(x-10)= \frac{x-7}{3} *3[/tex][tex]3x - 30 = x - 7[/tex]Step 2: Subtract x from both sides.
[tex]3x-30-x=x-7-x[/tex] [tex]2x-30=-7[/tex]Step 3: Add 30 to both sides.
[tex]2x-30+30=-7+30[/tex] [tex]2x=23[/tex]Step 4: Divide both sides by 2.
[tex]2x/2 = 23/2[/tex] [tex]x = 23/2 = 11.5[/tex]Therefore, x = 23/2 or 11.5.
there are ten names in a hat. how many ways are there to draw three names for first, second and third prizes from the hat, assuming each person can win only one prize
Answer:
720 ways
Step-by-step explanation:
10 P 3
or 10 * 9 * 8 = 720 ways
I need answer please
Answer:
A.
Step-by-step explanation:
RST is in the wrong position for it to be congruent.
At a restaurant, 42 people had breakfast on Saturday morning.
1/7• of the people ate eggs only.
2/3 • of the people ate both pancakes and eggs.
• The remaining people ate pancakes only.
Which fraction represents the number of people who ate pancakes only?
Answer:
17/21
Step-by-step explanation:
The amount of people that ate eggs only are:
42* 1/7 = 6
The amount of people that ate both pancakes and eggs are:
42 * 2/3 = 28
That means 34 people ate pancakes only.
The fraction that represents this is 34/42 = 17/21
Gabriel wants to know which pizzeria is most popular with students at his school. Which group of students should Gabriel survey in order to get the most accurate results?
A. All the boys in the cafeteria
B. All the students on his soccer team
C. Every 5th person entering the school
D. Every 5th person entering Daniella's Pizzeria
C, every 5th student entering the school.
This would provide the least biased answer by the chances, it would not be skewed as my boy Gabe is asking random people that are spread out rather than simply everyone on his soccer team (if there is a connection between enjoying pizza and playing soccer) or asking everyone in the cafeteria, as similar people may sit together. It’s all in the chances.
Question:
Gabriel wants to know which pizzeria is most popular with students at his school. Which group of students should Gabriel survey in order to get the most accurate results?
Answer:
C. Every 5th person entering the school.
Step-by-step explanation:
A. All the boys in the cafeteria. This is incorrect because they would only add up to 1. The boys. And 2. Only the boys inside of the cafeteria. So that not even counting the ones that are still in the classrooms or in the bathrooms. so therefore A is incorrect.
B. All the students on his soccer team. This would not add up to much because lets say there are 10 players on his soccer team and over 100 people in his school, that would only make up 10% of his whole school, so obviously, B. Is also incorrect.
D. Every 5th person entering Daniella's Pizzeria. This is incorrect also because Gabriel wants to know which pizzeria is most popular in his school, this answer does not say anything about his school, it only says which pizzeria and how many people. In answer D. It says Every 5th person entering Daniella's Pizzeria. This answer already says which pizzeria he would be going to so that part is already proof that D is incorrect.
C. Every 5th person entering the school. This is correct beause it explains how he would be asking every 5th person entering the school. So lets say most of the people he tallied likes Daniella's Pizzeria the most. There would be a tally poll that I have shown in the picture. (Sorry that its messy I did that on mouse.) and as you see in green it says that more people like Daniella's Pizzeria more than any others. So now Gabriel has his results, so now he knows which pizzeria to go to.
Link for whiteboard from picture: witeboard.com
What is the area of the tennis court?
Answer:
Length of Service box: 21ft /6.4m . Width of service box:13.5ft/4.1m I
Describe fully the single transformation that takes shape P to shape Q
I cant get the last mark
Answer:
dilation by a factor of 3 about (1, 0)
Step-by-step explanation:
You have correctly surmised that Q is a dilation of P by a factor of 3. The center of dilation is not the origin, so the trick is to figure out where it is.
__
An original point and its dilated image are always on the same line through the center of dilation. Here, that center can be found by drawing lines through the corresponding vertices. The attachment shows the center of dilation is (1, 0) on the x-axis.
The single transformation is ...
dilation by a factor of 3 about the point (1, 0).
__
Additional comment
You can check this by seeing that each image point is 3 times as far from this center as the corresponding original point.
7. Andre woke up at 7:18 a.m. and
went to bed at 10:00 p.m. How
long was Andre awake?
Answer:
14 hours and 42 minutes
Step-by-step explanation:
12 hours later is 7:18pm2 hours later is 9:18pm60-18=42 minutes12 hours + 2 hours plus 42 minutes = 14 hours and 42 minutesPLA
HELP I NEES TO LEAVE SOON<3
If x= 4.5 and y = 2x + 1, then y equals what number
I will rate and mark as brainest
Answer:
10
Step-by-step explanation:
1. 2(4.5)+1
2. 9+1
3. 10
table of value for y=2x^2+x
Answer:
values of x and y is (4, -2), (0, 0) and (2, 10)
Step-by-step explanation:
[tex] - 5 = > 45 \\ - 4 = > 28 \\ - 3 = > 15 \\ - 2 = > 6 \\ - 1 = > 1 \\ 0 = > 0 \\ 1 = > 3 \\ 2 = > 10 \\ 3 = > 21[/tex]
What is a trinomial in math
Answer:
an elementary algebra, a trinomial is a polynomial consisting of three terms or monomials.
Step-by-step explanation:
please help me with the question
Answer:
A
Step-by-step explanation:
If you plug in the x and y into both of those equations, you can see that only A would make the equation true.
Hope This Helps! :) Please mark as brainliest if you can!
Answer:
The answer should be;
A: (0,2)
Step-by-step explanation:
When graphing out the formulas and shading them accordingly, you can see which of those points fall into the double shaded areas. (4,5) falls into an area that isn't shaded at all, which (2,-1) falls into an area where it is only shaded by one layer. I have graphed this out for you so hopefully you understand :)
Please help me thank you!!!!!!!!!!!!!!!!!
Probably the answer:
Probably A. but I didn't read it and I just wanted to say this...
The smaller of two regular hexagons has a perimeter of 15 m and an area of 36 m². The area of the
larger is 100 m². What is the perimeter of the larger hexagon?
Answer:
40
Step-by-step explanation:
To find the perimeter of the hexagon, we multiply the square root of the area by 4.
The square root of 100 is 10.
10x4=40
a regular hexagon prism has a volume of of 2546.13cm³ and the base has an edge length of 14cm. what are the height and surface area of the prism?
Answer:
Solution is attached :)
A scientist is studying the effectiveness of 2 different antibiotics on the same strain of bacteria. He uses the same dose of each antibiotic and starts with the same initial bacteria count, in billions, in each petri dish. His results are shown in the tables below. Let x represent the time in hours.
Part A: What is the initial number of bacteria in each petri dish? Explain your answer.
Part B: What is the decay rate for each antibiotic? Explain your answer.
Part C: How many bacteria will be left in each petri dish after the time has reached 8 hours? Round to the nearest thousandth. Show your work.
Answer:
0.37 billion
Step-by-step explanation:
.
Select all expressions that represent the total area of the large rectangle.
Answer:
a. 5(x + y)
c. 5x + 5y
Step-by-step explanation:
The area = length * width.