Answers
Related Questions
A nutritionist wants to estimate the average caloric content of the burritos at a popular restaurant. They obtain a random sample of 16 burritos and measure their caloric content. The sample mean and sample standard deviation of measured caloric contents of the 16 burritos are 700 calories and 50 calories, respectively. Suppose the caloric content of burritos is normally distributed. Based on the sample, which of the following is a 95% upper confidence bound for the mean caloric content of these burritos?
A. μ≤700+ t 0.05, 15x50/4
B. μ≤700+ t 0.025, 16x50/4
C. μ≤700+ t 0.025, 15x50/4
D. μ≤700+ z 0.05 x50/4
Answers
Answer:
[tex]\mu \leq 700 + t_{(0.025,15)}\frac{50}{4}[/tex], option c
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 16 - 1 = 15
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and an [tex]\alpha[/tex] level of [tex]\frac{1 - 0.95}{2} = 0.025[/tex], thus, we have [tex]t_{(0.025,15)}[/tex]
The margin of error is of:
[tex]M = t_{(0.025,15)}\frac{s}{\sqrt{n}}[/tex]
In which s is the standard deviation of the sample and n is the size of the sample. For this question, we have [tex]s = 50,n = 16[/tex]. So
[tex]M = t_{(0.025,15)}\frac{s}{\sqrt{n}}[/tex]
[tex]M = t_{(0.025,15)}\frac{50}{\sqrt{16}}[/tex]
[tex]M = t_{(0.025,15)}\frac{50}{4}[/tex]
Upper bound:
The upper bound is less than the sample mean of 700 added to the margin of error of M. Thus
[tex]\mu \leq 700 + t_{(0.025,15)}\frac{50}{4}[/tex]
And the correct answer is given by option c.
Find the solutions to x² = 20.
Answers
Answer:
x = 4.47 or 2√5
Step-by-step explanation:
x² = 20
x = √20 = 4.47 or 2√5
Answer:
x = 2√5 or 4.472135955
Question #7
Jerry is creating a comer shelf for his house. Examine his sketch below.
8.5 in.
8.5 in.
Enter the area of the corner shelf, in square inches. Round your answer to the
nearest tenth.
Answers
Answer:
The area is 56.7 square inches
Step-by-step explanation:
Given
See attachment for corner shelf
Required
The area
The corner shelf is a quadrant with radius;
[tex]r = 8.5in[/tex]
The area of a quadrant is:
[tex]Area = \frac{\pi r^2}{4}[/tex]
So, the area of the corner shelf is:
[tex]Area = \frac{\pi * 8.5^2}{4}[/tex]
[tex]Area = \frac{\pi * 72.25}{4}[/tex]
[tex]Area = \pi * 18.0625[/tex]
Take [tex]\pi[/tex] as 3.14
[tex]Area = 3.14 * 18.0625[/tex]
[tex]Area = 56.7[/tex] -- approximated
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
Answers
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%
What is the slope of the line connecting the points (2, 1) and (4, 5)?
Answers
Answer:
2
use y2 - y1 / x2 - x1
5 - 1 / 4 - 2 = 4/2 = 2
Answer:
[tex]2[/tex]
Step-by-step explanation:
1. Find the difference between the two y values. 5 − 1 = 4
This is usually called the "rise" of the line.
2. Find the difference between the two x values. 4 − 2 = 2
This is usually called the "run" of the line.
3. Divide the rise buy the run: [tex]\frac{rise}{run} = slope \frac{4}{2} = 2[/tex]
Click on the measure of angle s.
38°
) 152
142
38
52
Answers
Answer:
here,
38+X=180 (being straight line)
or,X=180-38
therefore, X=142 ans,,,
i don’t know if it’s B or C what do you guys think?
Answers
Answer:
I think it is D.
Step-by-step explanation:
It is a guess, but I am not fully sure.
If correct, may I have a brainliest?
XxRoadToAcexX
Answer:
D) 17.51
Step-by-step explanation:
D) 17.51
Is this right? If not, what is it? PLEASE
Answers
Answer:
It is correct.
Step-by-step explanation:
The lengths of text messages are normally distributed with a population standard deviation of 4 characters and an unknown population mean. If a random sample of 26 text messages is taken and results in a sample mean of 28 characters, find a 98% confidence interval for the population mean. Round your answers to two decimal places. z0.10 z0.05 z0.04 z0.025 z0.01 z0.005 1.282 1.645 1.751 1.960 2.326 2.576
Answers
Answer:
The answer is "[tex](25.32, 30.68)[/tex]"
Step-by-step explanation:
Given:
[tex]\bar x = 28\\\\ \sigma = 4\\\\n =26\\\\[/tex]
When [tex]98\%[/tex] confidence level so, the z:
[tex]\alpha = 1 - 98\% = 1 - 0.98 = 0.2\\\\\frac{\alpha}{2} =\frac{0.02}{2} = 0.01\\\\Z_{\frac{\alpha}{2}} = Z_{0.01} = 1.645\ \ \ ( Using \ z \ table )\\\\[/tex]
[tex]E = Z_{\frac{\alpha}{2} \times ( \frac{\sigma}{\sqrt{n}})[/tex]
[tex]= 1.645 \times (\frac{4}{\sqrt{26}})\\\\=2.68[/tex]
When 98% confidence interval estimate of the population mean is,
[tex]\bar x - E < \mu < \bar x + E\\\\28 - 2.68 < \mu < 28 + 2.68\\\\25.32 < \mu < 30.68\\\\(25.32, 30.68)\\\\[/tex]
dele took 25 minutes to walk to school and he arrived at exactly 8:00am, at what time did he leave his home
Answers
Answer:
Dele ;left home at exactly 7:35
Step-by-step explanation:
hope this helps
Which equation represents a linear function x=-5, y=3x4+7, x2-1=y, y=15x+10
Answers
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.
URGENT NEED HELP FAST LINKS WILL BE REPORTED
Answers
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!
Which equation represents the following table?
Answers
Answer:
y = 2x+4
Step-by-step explanation:
When we substitute the value of x in y =2x+4. The output of function is exactly like in the table shown.
x = 1 —> y = 2(1)+4 = 6
x = 3 —> y = 2(3)+4 = 10
x = 5 —> y = 2(5)+4 = 14
x = 7 —> y = 2(7)+4 = 18
x = 9 —> y = 2(9)+4 = 22
Since the output is exactly like in the table. Therefore, y = 2x+4 represents the following table.
Neesha uploaded a funny video of her dog onto a website. The relationship between the elapsed
time, d, in days, since the video was first uploaded, and the total number of views V (d), that the
video received is modeled by the function V (d) = 31.5d.
How many views will the video receive after 5 days? Round your answer to the nearest whole
number.
Answers
Answer:
the answer is 2
Step-by-step explanation:
Jordan estimated that his paper airplane would fly 42 feet. It actually traveled 50 feet. What was the percent error?
Answers
[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]
Write in standard form: 30,000.000 + 40,000 + 6,000 + 20 + 2
Answers
Answer:
[tex]3.0046022*10^{7} \\[/tex]
Step-by-step explanation:
30,046,022 = [tex]3.0046022*10^{7} \\[/tex]
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.
Answers
Answer:Sorry i have no time to read it all bro
Step-by-step explanation:
Which functions graph has a period of 8 and reaches a maximum height of 1 if at least one full period is graphed
Answers
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
Please help!!
find the value of the trig ratio.
Answers
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.
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?
Answers
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.
ILL GIVE BRAINLIEST
YOUR FRIEND JUST OPENED THEIR FIRST CREDIT CARD WHAT ADVICE WOULD YOU GIVE THEM BEFORE THEY START MAKING PURCHASES?
Answers
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.
If a statue made from 1000 cm^3 of bronze has a mass of 8.7kg. what is the mass of a statue made from 4500cm^3 of bronze?
Answers
Answer:
screenshot
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZZZZZ
[15 points !] What is the factored form of x²y3 – 2y3 – 2x2 + 4?
Answers
Answer:
D
Step-by-step explanation:
Have a Nice Day
Answer:
(x^2 - 2)(y^3 - 2)
Step-by-step explanation:
I got it right on Iready
Which of the following is not true Categorical data are also referred to as nominal or qualitative data. Numerical data can be either discrete or continuous. Categorical data have values that are described by words rather than numbers. All listed statements are true The number of checks processed at a bank in a day is categorical data.
Answers
Answer:
The number of checks processed at a bank in a day is categorical data.
Step-by-step explanation:
In Mathematics, a categorical data can be defined as a statistical data type that is used to group informations having the same attributes or characteristics. Some examples of a categorical data are age, gender, race, religion etc.
A numerical data can be defined as a data set that is expressed in numbers only or a data set consisting of numbers rather than words. A numerical data is also known as a quantitative data.
Basically, numerical data are classified into two (2) main categories and these are;
1. Discrete data: a discrete data is a data set in which the number of possible values are either finite or countable. For instance, the value of a fair die, number of sweets in a jar, number of eggs in a crate etc.
2. Continuous data: a continuous data is a data set having infinitely many possible values and those values cannot be counted, meaning they are uncountable. Any quantity such as height, volume, weight, density, length, pressure, temperature, speed, distance, time are generally a continuous data.
Hence, the number of checks processed at a bank in a day is discrete data.
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? *
Answers
Step-by-step explanation:
7×1/4 = 1.75
1.75 ÷ 2 = 0.875 pans each
Choose 1 answer
A 4/9 of 3/4
B 4/12 of 5/12
C 1/3 of 9/12
Answers
10. Jackie
pupp
How
dog v
7. Juan is baking muffins for the school
bake sale. He needs 1 cups of flour to
make a batch of blueberry muffins. He
needs 2 cups of flour to make a batch
of banana muffins. How much flour
does Juan need to make both batches
of muffins?
A 4.cups
a pup
A4
B 47
с
4
B 4
cups
D 13
3 cups
34 cups
D
11. Ariana
park.
Answers
Answer:
your answer choices don't make sense
HELP!
Will give branliest!
Answers
Answer:
Try 1/6, if not then search up Fraction Calculator it should be Calculator.net
if 10 bags of ice cost $12, how much does 1 bag cost
Answers
Answer:
1.20
Step-by-step explanation:
[tex] 12 \div 10 = 1.20[/tex]
Solve the triangle. Round decimal answers to the nearest tenth.
Answers
Answer:
51
Step-by-step explanation: