A researcher is interested in testing to determine if the mean price of a casual lunch is different in the city than it is in the suburbs. The null hypothesis is that there is no difference in the population means (i.e. the difference is zero). The alternative hypothesis is that there is a difference (i.e. the difference is not equal to zero). He randomly selects a sample of 9 lunch tickets from the city population resulting in a mean of $14.30 and a standard deviation of $3.40. He randomly selects a sample of 14 lunch tickets from the suburban population resulting in a mean of $11.80 and a standard deviation $2.90. He is using an alpha value of .10 to conduct this test. Assuming that the populations are normally distributed and that the population variances are approximately equal, the degrees of freedom for this problem are _______.
Answer:
The degrees of freedom for this problem are 21
Step-by-step explanation:
Degrees of freedom:
When testing an hypothesis involving two samples, the number of degrees of freedom is given by:
[tex]df = n_1 + n_2 - 2[/tex]
In which [tex]n_1[/tex] is the size of the first sample and [tex]n_2[/tex] is the sample of the second sample.
In this question:
Samples of 9 and 14, so [tex]n_1 = 9, n_2 = 14[/tex]
The degrees of freedom for this problem are
[tex]df = n_1 + n_2 - 2[/tex]
[tex]df = 9 + 14 - 2 = 21[/tex]
The degrees of freedom for this problem are 21
The required degree of freedom is 21.
Given that,
He randomly selects a sample of 9 lunch tickets from the city population resulting in a mean of $14.30 and a standard deviation of $3.40.
He randomly selects a sample of 14 lunch tickets from the suburban population resulting in a mean of $11.80 and a standard deviation $2.90.
He is using an alpha value of .10 to conduct this test.
We have to find,
The degrees of freedom for this problem are.
According to the question,
Degrees of freedom refers to the maximum number of logically independent values, which are values that have the freedom to vary, in the data sample.
Degrees of freedom are commonly discussed in relation to various forms of hypothesis testing in statistics, such as a chi-square.
When testing an hypothesis involving two samples, the number of degrees of freedom is given by,
[tex]Degree \ of \ freedom = n_1+n_2-2[/tex]
Where, [tex]n_1[/tex] is the size of the first sample and [tex]n_2[/tex] is the sample of the second sample.
[tex]n_1 = 9 \ and\ n_2 = 14[/tex]
Therefore,
[tex]Degree \ of \ freedom = 9+14-2\\\\Degree \ of \ freedom = 21[/tex]
Hence, The required degree of freedom is 21.
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What is 4 4/5 + 1 1/3?
Answer:
[tex] \frac{92}{15} [/tex]
Step-by-step explanation:
change to improper
[tex] \frac{24}{5} + \frac{4}{3} [/tex]
this gives us
[tex] \frac{92}{15} [/tex]
final answer
plz mark as brainliest
Answer:
[tex]\frac{92}{15} or 6\frac{2}{15}[/tex]
Step-by-step explanation
hope this helps have a good day :)
Line segment AB = 12, its image after a dilation is 36. What is the scale factor of the dilation?
The scale factor of the dilation is 3
How to determine the scale factor of the dilation?From the question, we have the following parameters that can be used in our computation:
Line segment AB = 12 units
After the dilation = 36 units
The scale factor of the dilation is then calculated as
Scale factor of the dilation = After the dilation/Line segment AB
Substitute the known values in the above equation, so, we have the following representation
Scale factor of the dilation = 36/12
Evaluate
Scale factor of the dilation = 3
Hence, the scale factor is 3
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A 12 ft ladder leans against the side of a house. The top of the ladder is 11 ft off the ground. Find x , the angle of elevation of the ladder. Round your answer to the nearest tenth of a degree.
The value of angle of elevation (x) is 67°
What is angle of elevation?The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.
Angle of elevation can be found by using trigonometry ratio
The height of the house is the opposite and the height of the ladder is the hypotenuse.
Therefore from trigonometry ratio;
sin x = 11/12
sin x = 0.92
x = sin^-1 (0.92)
x= 66.93°
x = 67° ( nearest degree)
Therefore the value of angle of elevation is 67°
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Write in scientific notation (multiply)
(5x10^18)(3x10^6)
Answer: 3 x [tex]10^{24}[/tex]
Step-by-step explanation:
PLEASEEE HELP!!!
A car dealership uses this graph and equation to show the relationship between the list price of a particular car model and the age of the car.
Y= -2,500x + 19,000
At a recent auction, the dealership purchased several of these cars that are between two and three years old.
Based on the equation, what are the minimum and maximum amounts the dealership should set as the list prices for the cars it purchased?
Minimum list price: $(10,500 , 14,000 , 6,500 , 11,500)
Maximum list price: $(10,500 , 18,500 , 14,000 , 11,500)
Answer:
minimum: 6500
maximum: 18500
Hope this helps
GLL
Step-by-step explanation:
Answer:
Correct answer is below
Step-by-step explanation:
Find the measure of m∠A (inside the triangle).
Find the measure of m∠B.
Find the measure of m∠C.
Answer:
m<A=40°
m<B=55°
m<C=85°
Step-by-step explanation:
Add up all the angles to equal 180 because all triangles add up to 180.
(2x+5)+(x+15)+x=180
Simplify.
4x+20=180
Solve for x.
x=40.
Plug x into the equations. Hope this helps.
A linear function as a rule shown
The equation that represents the linear function is y = 11 + 7x.
What is the solution to the linear equation?
The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
We have given the rules:
x: a number
y: 11 more than 7 times x.
Linear equations are the equations of degree 1. It is the equation for the straight line.
The standard form of the linear equation is ax+by+c =0,
where a ≠ 0 and b ≠ 0.
From the given conditions we can form the linear equation:
That is,
y = 11 + 7x,
Hence, the equation that represents the linear function is y = 11 + 7x.
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An equilateral triangle with side length 2.5 is dilated with a scale factor of 6. What is the length of one side of the new figure?
Answer:
18
Step-by-step explanation:
A matched pairs design involves: matching pairs of participants based on a variable and then randomly assigning one member of each pair to each group. randomly assigning participants to groups and then matching pairs of participants. matching pairs of participants based on a variable and then randomly assigning half the pairs of each group. an attempt to control for order effects.
Answer:
matching pairs of participants based on a variable and then randomly assigning one member of each pair to each group.
Step-by-step explanation:
A control experiment can be defined as an experiment in which a condition assumed to be a probable cause of the effect is being compared to the same situation by the scientist without involving or using the suspected condition.
A control group generally makes an experiment to work because they are not exposed to the variables and a neutral treatment.
On the other hand, an experimental group can be defined as a collection of participants that are subjected to the independent variable.
A matched pairs design involves matching pairs of participants based on a variable and then randomly assigning one member of each pair to each group. Thus, it's a process which typically involves pairing each individual in an experimental group with respect to another in the control group.
Generally, a matched pairs design is often times used when only a small group of participants are available for an experimental study or research.
simplify the following expression 4 + 3 . 7
PLZ Hlp extra credit imma fail no link!!!
Answer:
B, C, and F
Step-by-step explanation:
You can double check my answers and it'll make sense.
2 to the power of 4 means you multiply 2 by itself 4 times.
The answer of that would be 16.
4 x 4 also equals 16 so therefore those three answers are equivalent.
Answer:
a and c
Step-by-step explanation:
it says equivalent to
Identify each angle pair as Complementary, Supplementary, Adjacent, or Vertical. Select from the drop
down menu. Select the most specific choice.
Answer:
A. Adjacent
B. Complementary
C. Complementary
Step-by-step explanation:
What is the form of the difference of squares identity?
Does anyone know how to solve this?
And please explain your answer
[tex] \huge \fbox{Answer : }[/tex]
The value of k for which
[tex] \sin(k - x) = \cos(x) [/tex]
is
[tex] \dfrac{\pi}{2} [/tex]
A right triangle with coordinates A (-2,5), B (-2, 9) and C (4,5) is first rotated 90 degrees counterclockwise and
then translated 2 units left and 3 units down to form triangle A'B'C'. What is the measure of angle B'A'C',
in degrees, in the resulting figure?
Answer:
90 degree
Step-by-step explanation:
since the original angle BAC is 90 degree, no matter the triangle is rotated or translated, the angle remain unchanged
Pllzzz help me with this!!!!
Solving the provided question, we can say that the quadratic equation is [tex]-16t^2 +vt +s[/tex] so answer is -16+48+3 = 35
What is quadratic equation?A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.
the quadratic equation is
[tex]-16t^2 +vt +s[/tex]
v = 16
s =3
t =
so answer is -16+48+3 = 35
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Two straight lines are perpendicular to each other at point M. One of the lines passes through (2, 6) and the equation of the other line is 2y + 3x -5 = 0. Calculate the co-ordinates of M.
Answer: The equation of a line in the form y = mx + b can be written as y - mx - b = 0. So we can rewrite the equation of the line as 2y - 3x + 5 = 0. This means that the slope of the line is -3/2.
The slope of a line perpendicular to this line would be the negative reciprocal of -3/2, which is 2/3. Let's call the point M (x, y). We know that the line passing through (2, 6) has a slope of 2/3. So we can write the equation of this line as:
y - (2/3)x - b = 0
Substituting the point (2, 6) into this equation, we get:
6 - (2/3)(2) - b = 0
b = 4
So the equation of the line passing through (2, 6) is:
y - (2/3)x - 4 = 0
To find the coordinates of point M, we need to find the point where these two lines intersect. Setting the two equations equal to each other and solving for x and y, we get:
2y - 3x + 5 = y - (2/3)x - 4
5 - 2y = y - (5/3)x + 4
(5/3)x = 3 - y
x = (3 - y) * (3/5)
Substituting this expression for x into one of the original equations, we can solve for y:
2y - 3((3 - y) * (3/5)) + 5 = 0
2y - (9 - 3y)(3/5) + 5 = 0
(10/5)y - (9/5) + 5 = 0
y = (9/5) + (5/5)
y = 2
Substituting this value for y back into the expression for x, we get:
x = (3 - 2) * (3/5)
x = 1
So the coordinates of point M are (1, 2).
Step-by-step explanation:
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Park View Apartments has 2 buildings. Each building has 3 floors. Each floor has
16 windows. What is the total number of windows in the Park View Apartment
buildings?
Answer:
(probably) 96
Step-by-step explanation:
2 buildings, 3 floors, 16 windows.
first, 16x3=48
and then 48x2=96
So, the total number is 96.
Does, this make any sense to anyone? I honestly don't understand it. I'm learning functions by the way.
===========================================================
Explanation:
If we replace every copy of x with t, then we go from this
F(x) = 3x+5
to this
F(t) = 3t + 5
All we've done really is change the letter. We still are dealing with a variable. We're told that F(t) is equal to 26, which would allow us to replace the "F(t)" with "26" in the second equation above.
So we now have the equation 26 = 3t+5 which is the same as 3t+5 = 26
Let's solve for t
3t+5 = 26
3t = 26-5 .... subtract 5 from both sides
3t = 21
t = 21/3 .... divide both sides by 3
t = 7 is the answer
Now note that...
F(t) = 3t + 5
F(7) = 3*7 + 5 .... replace t with 7
F(7) = 21 + 5
F(7) = 26
This means we got F(t) = 26 when t = 7
It's the same as saying x = 7 leads to F(x) = 26.
This helps confirm we have the correct answer.
Answer:
t = 7
Step-by-step explanation:
I hope this helps
Determine which binomial is a factor of 4x^3+17x^2+7x+12 A. X+12 B. x +4 C. x +7 D. X-4
Answer:
D is correct Answer. x-4. THANK YOU.
Which triangles are similar to AABC?
B
10
С
10
А
Neither of the triangles are similar to the one given.
What are similar triangles?Two triangles are said to be similar if, they have congruent corresponding angles and sides are in equal ratios.
Given are three triangles, we need to find which of them are similar to the given one,
According to the definition of the similar triangles,
1) 10 / 5.5 = 10 / 5.5 ≠ 4 / 2
So, they are similar triangles.
2) 30 / 10 = 30 / 10 ≠ 14 / 4
Hence, Neither of the triangles are similar to the one given.
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If ⅓y = 9; then y =?
Answer:
y = 27Eexplanation:
1/3y = 9
y/3 = 9
y = 9 × 3
y = 27
please anyone know about semiconductor?? i need help to paraphrase this paragraph help !!!!
Answer:
ND>MA n type in both 300k and 700k as ND and NA are not affected by rempredure, only NI is affected and it increases the electron and helps with the sane value so always electrons will be greater than holes at T= 300k Ni = 10 10 cm 3
What should Jayce conclude is the distance around the largest circle on the radar screen? Use pi = 3.14.
Step-by-step explanation:
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Ellie brought 2 packs of hot dogs , 3 lbs of hamburger, and 2 lbs. of potato salad. How much did she spend?
Ellie spend of $37.8 for 2 packs of hot dogs , 3 lbs of hamburger, and 2 lbs. of potato salad
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The amount is not given for each hot dog, hamburger and potatos.
But Ellie brought 2 packs of hot dogs ,
3 lbs of hamburger, and
2 lbs. of potato salad
Let us consider each hot dog is $6
Hamburger is $5.6 and potatoes is $4.5
Total amount is 2(6)+3(5.6)+2(4.5)
12+16.8+9
$37.8
Hence, Ellie spend of $37.8 for 2 packs of hot dogs , 3 lbs of hamburger, and 2 lbs. of potato salad
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Nevaeh has $0.80 worth of nickels and dimes. She has a total of 11 nickels and dimes altogether. Graphically solve a system of equations in order to determine the number of nickels, x,x, and the number of dimes, y,y, that Nevaeh has.
Can you please help me
Answer:
x=16
Step-by-step explanation:
the angle would be 1/2 of the arc so here's the steps
(2)7x+16=18x-32
14x+32=18x-32
+32 +32
14x+64=18x
-14x . -14x
64=4x
64/4=4x/4
x=16
A lumber company is making boards that are 2578.0 millimeters tall. If the boards are too long they must be trimmed, and if they are too short they cannot be used. A sample of 20 boards is made, and it is found that they have a mean of 2580.2 millimeters with a variance of 64.00. Is there evidence at the 0.1 level that the boards are either too long or too short?
1. State the hypotheses.
2. Find the value of the t test statistic.
3. Specify if the test is one-tailed or two-tailed.
4. Determine the decision rule.
5. Determine the conclusion.
A) Reject Null Hypothesis
B) Fail to Reject Null Hypothesis
Answer:
-0.750
Step-by-step explanation:
what's 6772239 - 283474
Answer:
6488765
Step-by-step explanation:
I did the math hope this helps!!