Answer:
There is sufficient evidence to support the claim that the mean temperature is different from 42 deg
Step-by-step explanation:
From the given information, we are being told that:
The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean temperature, μ, of 42°F
i. e mean μ = 42
The owner of the brewery does not agree with the refrigerator manufacturer, and claims he can prove that the true mean temperature is incorrect.
Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms.
From above;
The null and the alternative hypothesis can be computed as:
[tex]\mathbf{H_o : \mu = 42} \\ \\ \mathbf {H_1 : \mu \neq 42}[/tex]
Here , the hypothesis test of the claim is the alternative hypothesis.
The conclusion based on the decision rule: is to reject the null hypothesis
∴
The conclusion in non technical terms is that :
There is sufficient evidence to support the claim that the mean temperature is different from 42 deg
Let x be the size of a house (sq ft) and y be the amount of natural gas used (therms) during a specified period. Suppose that for a particular community, x and y are related according to the simple linear regression model with the following values.
ß = slope of population regression line = 0.019
a = y intercept of population regression line = -7
(a) What is the equation of the population regression line?
y = 1
b) What is the mean value of gas usage for houses with 2100 sq ft of space?
(c) What is the average change in usage associated with a 1 square foot increase in size?
(d) What is the average change in usage associated with a 100 square feet increase in size?
Answer:
y = 0.019x - 7
32.9 therms
0.019 therms
1.9 therms
Step-by-step explanation:
Given the following :
X =size of house (sq ft)
Y = Amount of natural gas used
The general form of a some linear regression model :
y = ßx + a
Where ;
ß = slope or gradient
x = independent variable
y = predicted value
a = y- intercept value
(A)
If ß = slope of population regression line = 0.019
a = y intercept of population regression line = -7
The regression model could be expressed as :
y = 0.019x + (-7)
y = 0.019x - 7
(B)What is the mean value of gas usage for houses with 2100 sq ft of space?
Here x = 2100 sq ft ; Inputting the value of x into the regression equation:
y = 0.019x - 7
y = 0.019(2100) - 7
y = 39.9 - 7
y = 32.9 therms
C) What is the average change in usage associated with a 1 square foot increase in size?
Change in usage associated with change in size can be gotten from :
ßx, where, ß change in y with respect to x ;
x = 1 square foot
ß = 0.019
Change = 0.019*(1) = 0.019 therms
(d) What is the average change in usage associated with a 100 square feet increase in size?
ßx, where, ß change in y with respect to x ;
x = 100 square feet
ß = 0.019
Change = 0.019*(100) = 1.9 therms
write another name for BD need asap pls
A 50 kg skater pushed by a friend accelerates 5 m/sec. how much force did the friend apply?
Answer:
250 joulesStep-by-step explanation:
[tex]Mass = 50kg\\Acceleration = 5m/sec\\Force = ?\\\\Force = Mass\times acceleration\\\\Force = 50\times 5\\\\ Force = 250\: joules \: or \:250kgm/s[/tex]
Mariah's earnings rate can be described in dollars per hour or hours per dollar. Mariah earns $10 for each hour she works at a movie theater. State this rate in two different ways, and describe the difference.
Answer:
dollars per hour rate = $10
hours per dollar = 6 minutes 15 seconds
Step-by-step explanation:
Take note that one is singular (dollar) without an 's', and the other is plural (dollars). Thus, since her dollars per hour rate tells us how much she will earn for each hour of work, we would expect her hours per dollar rate to tell us how much she has to work in minutes to earn a single dollar ($1).
If we divide [tex]\frac{10}{60 minutes}[/tex] = $0.16 which indicates how much she earns for every minute she works at the theater. Further dividing this value into 1 minute we find the hour per dollar rate 1/0.16 = 6.25. minutes.
Answer:This was my answer.
If she were to earn dollars per hour, then she would get 16 cents for every minute she worked. If she were to work hours per dollar, then for every dollar, she would work 10 minutes for that dollar. If we divide 10 dollars by 60 minutes, then we would get 16 cents per minute. If we divide 60 minutes by 10 dollars, then we would get 6 minutes for each dollar.
Step-by-step explanation: This is the criteria.
Sample Response
10 dollars/hour describes how much money Mariah earns for each hour she works.
1/10 hour/dollar describes how much time Mariah has to work for each dollar she earns.
Evaluate Your Response
Your response should state and describe the two unit rates. To find hours per dollar, write the rate as 1 hour/ $10 and divide the numerator and denominator by 10.
Question 6(Multiple Choice Worth 1 points)
(01.02 LC
Solve for x: -3x - 3= -3(x + 1)
O All real numbers
O No solution
06
-6
HELP ME OUT ASAP
Answer:
-3x-3=-3(x+1)
opening the bracket and collecting like terms, we have
-3x+3x=-1+3
thus, no solution
4-2(1-w) =-38
solve and plug back in step by step
Answer:
w = -20
Step-by-step explanation:
Solve for w:
4 - 2 (1 - w) = -38
Hint: | Distribute -2 over 1 - w.
-2 (1 - w) = 2 w - 2:
2 w - 2 + 4 = -38
Hint: | Group like terms in 2 w - 2 + 4.
Grouping like terms, 2 w - 2 + 4 = 2 w + (4 - 2):
2 w + (4 - 2) = -38
Hint: | Evaluate 4 - 2.
4 - 2 = 2:
2 w + 2 = -38
Hint: | Isolate terms with w to the left hand side.
Subtract 2 from both sides:
2 w + (2 - 2) = -2 - 38
Hint: | Look for the difference of two identical terms.
2 - 2 = 0:
2 w = -2 - 38
Hint: | Evaluate -2 - 38.
-2 - 38 = -40:
2 w = -40
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 2 w = -40 by 2:
(2 w)/2 = (-40)/2
Hint: | Any nonzero number divided by itself is one.
2/2 = 1:
w = (-40)/2
Hint: | Reduce (-40)/2 to lowest terms. Start by finding the GCD of -40 and 2.
The gcd of -40 and 2 is 2, so (-40)/2 = (2 (-20))/(2×1) = 2/2×-20 = -20:
Answer: w = -20
Solve for y. -3 = 7 (y - 9/7)
Answer:
y = 1
Step-by-step explanation:
y - 3 = 7 (y - 9/7)
y - 3 = 7*y + 7*-9/7
y - 3 = 7y - 9
y - 7y = 3 - 9
-6y = -6
y = -6/-6
y = 1
probe:
1 - 3 = 7(1 - 9/7)
-2 = 7*-2/7
What is the critical value at the 0.05 level of significance for a goodness-of-fit test if there are six categories?
Answer:
The goodness of fitness test χ²with significance of level ∝= 0.05 and 5 degrees of freedom is 11.07 (One tailed test )
Step-by-step explanation:
For n=6 the degrees of freedom will be n-1 = 5 .
The goodness of fitness test χ²with significance of level ∝= 0.05 and 5 degrees of freedom is 11.07 (One tailed test )
The critical region depends on ∝ and the alternative hypothesis
a) When Ha is σ²≠σ² the critical region is
χ² < χ²(1-∝/2)(n-1) and χ² > χ²(1-∝/2)(n-1) Two tailed test
( χ² < 0.83) and ( χ² > 0.83)
b) When Ha is σ²> σ² the critical region falls in the right tail and its value is
χ² > χ²(∝)(n-1) One tailed test {11.07 (One tailed test )}
c) When Ha is σ² <σ² the critical region will be entirely in the left tail with critical value
χ²(1-∝)(n-1) One tailed test (1.145)
Answer:
the newsar si evsenyt esventy
Step-by-step explanation:
I have Epilepsy so I tend to forget how to do multiple things! What is the equation of the line? A.y=−13x B.y=−3x C.y=13x D.y = 3x
Find the LCM of these two expressions: m2 + 11m + 10 and m2 + 9m – 10.
Answer:
(m-1)(m+1)(m+10)
Step-by-step explanation:
Factors of each expression:
m² + 11m + 10 = m²+m + 10m+10 = m(m+1)+10(m+1) =(m+1)(m+10)m² + 11m + 10 = (m+1)(m+10)
m² + 9m – 10 = m² - m + 10m - 10 =m(m-1) + 10(m-1) = (m-1)(m+10)m² + 9m – 10 = (m-1)(m+10)
LCM of the two expressions is:
(m-1)(m+1)(m+10)Answer:
Sample Answer
Step-by-step explanation:
Directions: Type your solutions into this document and be sure to show all steps for arriving at your solution. Just giving a final number may not receive full credit.
PROBLEM 1
A website reports that 70% of its users are from outside a certain country, and 60% of its users log on the website every day. Suppose that for its users from inside the country, that 80% of them log on every day. What is the probability that a person is from the country given that he logs on the website every day? Has the probability that he is from the country increased or decreased with the additional information?
Answer:
The probability is [tex]P(I | \ L ) =0.4[/tex]
Yes with the additional information that the person logs on everyday the probability increased from [tex]P(I) = 0.3[/tex] to [tex]P(I | L ) = 0.4[/tex]
Step-by-step explanation:
From the question we are told that
The probability that the user is from outside the country is [tex]P(O) = 0.7[/tex]
The probability that the user log on everyday is [tex]P(L) = 0.6[/tex]
The probability that the user log on everyday and he/she is from inside the country is [tex]P(L| I) = 0.80[/tex]
Generally using Bayes theorem the the probability that a person is from the country given that he logs on the website every day is mathematically represented as
[tex]P(I | \ L ) = \frac{ P(L|I) * P(I)}{ P(L)}[/tex]
Here [tex]P(I)[/tex] is the probability that the person log on every day and it is mathematically evaluated as
[tex]P(I) = 1 - P(O)[/tex]
[tex]P(I) = 1 - 0.7[/tex]
[tex]P(I) = 0.3[/tex]
So
[tex]P(I | \ L ) = \frac{ 0,8 * 0.3}{ 0.6}[/tex]
[tex]P(I | \ L ) =0.4[/tex]
Finding slope given the graph of a line on a grid
(-3,-1) (-4,2)
Answer:
-3
Step-by-step explanation:
(y2-y1)/(x2-x1) = (2-(-1))/(-4-(-3))
= (2+1)/(-4+3)
= 3/-1
= -3
Answer:
-3
Step-by-step explanation:
To get the slope we do (-1-2)/(-3+4)
so the slope is -3
What is 2 2/3 - 1 1/3? answer using backslash for example 2/3
Answer:
-1
Step-by-step explanation:
what is the drawing an example of?
Answer:
Parallel Lines
Step-by-step explanation:
This drawing below represent parallel lines. We know these are parallel because they are marked with "feathers": those triangle looking things. They have to have the same amount of feathers to be parallel.
Hope this helped!
5. In the figure, . Solve for . Show your work.
Answer:
15
Step-by-step explanation:
6/10=9/x
cross multiply
6x=9*10
6x=90
x=90/6x=15
solve for x 9x-3-8x=7-x
Answer:
x = 5
Step-by-step explanation:
First, we move all variables to one side of the equation. (Don't forget to change signs.)
9x - 8x + x = 7 + 3
Then, we simplify
x + x = 10
2x = 10
10 divided by 2 is equal to 5.
Therefore, x = 5
Hope this helps!
The solution of the given equation 9x-3-8x=7-x for x will be 5.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
The equation must be constrained with some constraints.
As per the given equation,
9x - 3 - 8x = 7 - x
x - 3 = 7 - x
x + x = 7 + 3
2x = 10
x = 5
Hence "The solution of the given equation 9x-3-8x=7-x for x will be 5.".
For more about the equation,
brainly.com/question/10413253
#SPJ2
In a random sample of people, the mean driving distance to work was miles and the standard deviation was miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a % confidence interval for the population mean . Interpret the results. Identify the margin of error. nothing ▼ square miles miles per hour miles (Round to one decimal place as needed.) Construct a % confidence interval for the population mean. (Round to one decimal place as needed.) Interpret the results. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. nothing% of all random samples of people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints. B. It can be said that nothing% of the population has a driving distance to work (in miles) that is between the interval's endpoints. C. With nothing% confidence, it can be said that most driving distances to work (in miles) in the population are between the interval's endpoints. D. With nothing% confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints.
Full question attached
Answer:
D. With 99% confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints
Step-by-step explanation:
The new confidence interval is narrower than the confidence interval for the t-distribution and the center is 21.7
please note that the options chosen are different for the attachment and the question here but are same answer
A farmer looks out her window and sees ducks and rabbits. She says to her husband, "I see 36 heads and 80 feet." Assuming she counted correctly, how many ducks did she see
Answer:
The number of duck is 32.
Step-by-step explanation:
Let x represent the number of rabbits.
Let y represent the number of ducks
From the question given:
The sum of rabbit and duck is 36 i.e
x + y = 36 .... (1)
The sum of the feets of the rabbit and duck is 80.
Rabbits has 4 legs
Duck has 2 legs
Therefore, the sum their feets (i.e 80) can be written as:
4x + 2y = 80 .... (2)
The equations are:
x + y = 36 .... (1)
4x + 2y = 80 .... (2)
Solving by substitution method:
From equation (1)
x + y = 36
Make x the subject
x + y = 36
x = 36 - y
Substitute the value of x into equation (2)
4x + 2y = 80
x = 36 - y
4(36 - y) + 2y = 80
Clear bracket
144 - 4y + 2y = 80
144 - 2y = 80
Collect like terms
- 2y = 80 - 144
- 2y = - 64
Divide both side by - 2
y = - 64/ - 2
y = 32
Therefore, the number of duck is 32.
Which transformations could be performed to show that
AABC is similar to AA"B"C"?
-10
8+
B
6
4
id d
С
2
ic
-10 -8 6 4 -22N14 6
A
8 10 x
B"
a reflection over the x-axis, then a dilation by a scale
factor of 3
a reflection over the x-axis, then a dilation by a scale
factor of
a 180° rotation about the origin, then a dilation by a
scale factor of 3
a 180° rotation about the origin, then a dilation by a
scale factor of
6
-8
10
Answer: Hey There!!
The answer to this is: Option D. If two triangles ΔABC and ΔA'B'C' are similar then we take point C of ΔABC to find the transformation performed form C to C'.
Coordinates of C are (0, 3) and the coordinates of C' are (0, -1).
This shows that C is rotated 180° about origin to get the new coordinates as (0, -3) and then new coordinates were dilated by 1/3 which forms C' as (0, -1)
Therefore option D is the correct option.
Hope It Helped!~ ☆
ItsNobody~ ♡
Triangle ABC was rotated 180° about the origin, then a by a scale factor of 1/3 was done to form triangle A'B'C'.
What is mean by Transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
Given that;
Triangle ABC is similar to A"B"C".
Now, If a point A(x, y) is rotated clockwise by 180 degrees, the new point is at A'(y, -x)
Hence, Triangle ABC was rotated 180° about the origin, then a by a scale factor of 1/3 was done to form triangle A'B'C'.
Learn more on transformation at:
brainly.com/question/1548871
#SPJ7
Help PLSSSSS BRAINLIST Rate of change on both of them pls look down below
Answer:
[tex]\huge \boxed{\mathrm{4}} \\ \huge \boxed{\mathrm{2}}[/tex]
Step-by-step explanation:
Rate of change is another term for the slope.
rate of change = slope = (change in y)/(change in x)
Function A:
y = mx + b (m = slope)
y = 4x - 3
Function A has a slope of 4.
The rate of change for function A is 4.
Function B:
Take two points.
(-1, 0) and (1, 4)
slope = (y2 - y1)/(x2 - x1)
slope = (4 -0)/(1 - -1)
slope = 4/2 = 2
The rate of change for function B is 2.
The dean of a major university claims that the mean number of hours students study at her University (per day) is at most 3.6 hours. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?
Question options:
There is not sufficient evidence to reject the claim μ ≤ 3.6.
There is sufficient evidence to reject the claim μ ≤ 3.6.
There is sufficient evidence to support the claim μ ≤ 3.6.
There is not sufficient evidence to support the claim μ ≤ 3.6.
Answer:
There is sufficient evidence to reject the claim μ ≤ 3.6.
Step-by-step explanation:
The null and alternative hypotheses denoted H0 and Ha respectively are used in inferential statistics to test relationship between two variables.
the null hypothesis holds the default position and is the one tested while the alternative hypothesis is everything else. The alternative hypothesis can not be proven. From the above example if we wish to reject the null hypothesis which holds the default position that students study a most 3.6 hours, we reject H0, the null hypothesis which holds that position . In other words the null hypothesis is innocent until proven guilty
An angle whose measure is –302° is in standard position. In which quadrant does the terminal side of the angle fall?
Answer: Quadrant 1 (northeast quadrant)
=================================================
Explanation:
Add on 360 degrees to do a full rotation
-302+360 = 58
So angles -302 degrees and 58 degrees are pointing in the same direction. These angles are in quadrant 1, which is the northeast quadrant
Note: because the angles -302 and 58 point in the same direction, we consider these angles to be coterminal.
The quality control manager of a light bulb factory needs to estimate the average life of a large shipment of light bulbs. The process standard deviation is known to be 100 hours. A random sample of 64 light bulbs indicated a sample average life of 350 hours. Given the confidence interval calculated above. do you think the manufacturer has the right to state that the light bulbs last on average 400 hours?
a. No.
b. Yes.
c. Maybe.
d. Do not know
Complete Question
The quality control manager at a light bulb factory needs to estimate the mean life of a large shipment of light bulbs. The standard deviation is 100 hours. A random sample of 64 light bulbs indicated a sample mean life of 350 hours
A. Construct a 95% confidence interval estimate for the population mean life of light bulbs in this shipment.
B. Do you think that the manufacturer has the right to state that the light bulbs have a mean life of 400
a. No.
b. Yes.
c. Maybe.
d. Do not know
Answer:
A
[tex]325.5 < \mu < 374.5[/tex]
B
correct option is a
Step-by-step explanation:
From the question we are told that
The standard deviation is [tex]\sigma = 100[/tex]
The sample mean is [tex]\= x = 350 \ hours[/tex]
The sample size is [tex]n = 64[/tex]
Given that the confidence level is 95% then the level of significance is mathematically represented as
[tex]\alpha = (100- 95)\%[/tex]
[tex]\alpha = 0.05[/tex]
The critical value of [tex]\frac{\alpha }{2}[/tex] from the normal distribution table is
[tex]Z_{\frac{\alpha }{2 } } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 1.96 * \frac{100 }{\sqrt{64} }[/tex]
=> [tex]E = 24 .5[/tex]
Generally the 95% confidence interval is mathematically represented as
[tex]\= x - E < \mu < \= x + E[/tex]
[tex]350 - 24.5 < \mu < 350 + 24.5[/tex]
[tex]325.5 < \mu < 374.5[/tex]
This 95% confidence interval can be interpreted as follows
There is 95 confidence that the true population mean lies in this interval
Now looking at the interval we see that it dose not contain 400 hence
the correct answer is No the manufacturer do not have the right to state that the light bulbs last on average 400 hours
Bailey is making festive cookie bags. She tried to split all her cookies evenly by putting 15 per bag, but the last bag had only 14 cookies. So, she tried putting 10 cookies per bag, but the last bag had only 9. Her mom brought 2 more cookies. Now, Bailey tries 9, then 8, cookies per bag, but she can’t do it. Finally, Bailey puts 7 cookies in each bag evenly! What is the least possible total number of cookies?
Answer:
Hi! The answer would be 21.
Step-by-step explanation:
First, we must add.
[tex]15 + 14 = 29[/tex]
29 is our first number. Bailey cannot evenly split the cookies into each bag with that amount of cookies, so we must move on to the next number.
[tex]10 + 9 + 2 = 21 [/tex]
21 can be divided 3 times by 7. Now we know the least amount of cookies total, is 21.
Hope this helped!
Angle of depression from point a to point c
Answer:
32°
Step-by-step explanation:
90 - 58 = 32
The angle of depression from point A to point C is 32°.
What is the angle of depression?The angle of depression is the angle formed by the horizontal line of sight intersecting with the line of sight down to an object. You might estimate the angle of depression if you were standing on top of a hill or a structure, gazing down at an item.
How do we solve the given question?We are asked to find the angle of depression from point A to point C.
We can see the horizontal line of sight by the dotted line. We let this line be AD.
We know that AD ⊥ AB, as AD is the horizontal line of sight, and AB is also perpendicular to B (given).
∴ ∠DAB = 90°.
We can write ∠DAB = ∠DAC + ∠BAC.
or, 90° = ∠DAC + 58°
or, ∠DAC = 90° - 58° = 32°.
We know ∠DAC represents the angle of depression from point A to point C, as DA is the horizontal line of sight and AC is the line of sight to the object, and ∠DAC is between the lines DA and AC.
∴ The angle of depression from point A to point C is 32°.
Learn more about the angle of depression at
https://brainly.com/question/15580615
#SPJ2
Which pair of complex factors results in a real-number product? 15(–15i) 3i(1-3i) (8 + 20i)(–8 – 20i) (4+7i)(4-7i)
Answer:
(4 + 7i)(4 - 7i)
Step-by-step explanation:
Factors of the form of a conjugate pair always produce a real number
(a + bi)(a - bi) ← produce a real number product ( a and b are real ), that is
(a + bi)(a - bi) ← expand using FOIL
= a² - bi² ( i² = - 1)
= a² + b² ← a real number
Thus
(4 + 7i)(4 - 7i)
= 16 - 49i²
= 16 + 49 = 65
Answer:
the correct answer is the last one, (4+7i)(4-7i)
Step-by-step explanation:
There are 454 grams in a pound. How many mg are in a quarter pound?
Find the volume of this Triangular Prism
Answer:
210cm³
Step-by-step explanation:
v=1/2bhl
v-1/2(7)(6)(10)
v=210
Bob buys candy that costs $7 per pound. He will buy at most 6 pounds of candy. What are the possible amounts he will spend on candy?
What is 2448 divided by 10
Answer:
244.8
Step-by-step explanation:
If we divide a number by 10, we are moving the decimal place on value to the left.
The decimal place is currently here:
2448.000
So moving it left one gets us:
244.8000
Hope this helped!