Confidence intervals and hypothesis testing share the characteristic that they are both inferential techniques
Confidence intervals and hypothesis tests are similar in that they are both inferential methods that rely on an approximated sampling distribution.
What is confidence interval?
Data from a sample is used to estimate a population parameter using confidence intervals. Data from a sample is used in hypothesis testing to examine a given hypothesis. It is possible that occasionally, when the hypothesis produces a non-significant result, the confidence interval will exclude the value specified under the null hypothesis because the standard error used to calculate the confidence interval is different from the standard error used in hypothesis testing.
We use the standard error of the mean to show the degree of uncertainty surrounding the estimation of the mean measurement. Most helpful for calculating a confidence interval is the standard error.
Hence , Confidence intervals and hypothesis tests are similar in that they are both inferential methods that rely on an approximated sampling distribution.
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Draw a line PQ. Take any point outside it and construct a line parallel to the given line through this point
Parallel means same slope, so in the image, line PQ is connected by a line. The other point I made has a line parallel through it.
if you and your friends want food and if you have 2 friends and you buy one pizza and the pizza has 9 pieces how many pieces of pizza does each person get?
Answer: 4 1/2 slices/friend
Step-by-step explanation:
One pizza = 9 slices
9 slices/2 friends = 4 1/2 slices/friend
Answer:
3
Step-by-step explanation:
because 9×3=3
2 friends and me
could someone please help me on one of these and explian to me too? plz show work
Answer:
3) rate of change = -5/4
4) rate of change = 3
5) rate of change = 1
6) steepest slope = #4
7) Please see the attached graph and explanation below
8) Please see the attached graph and explanation below
Step-by-step explanation:
Note:I will do questions 3, 4, 6, 7, and 8, and will let you work on question 5 (since it involves the same process of solving for the rate of change as questions 3 and 4). However, the rate of change for question 5 is 1.
3) Calculate the Rate of Change from the Graph:The rate of change is essentially the same as the slope of a linear equation, where it represents the ratio of a change in y to a corresponding change in x.
In order to solve for the rate of change, choose two points from the given graph.
Let (x₁, y₁) = (0, 200)
(x₂, y₂) = (80, 100)
Substitute these values into the following slope formula:
m = (y₂ - y₁)/(x₂ - x₁)
m = (100 - 200)/(80 - 0)
m = -100/80
Reduce to lowest terms by dividing the numerator and the denominator by 20/20:
m = -5/4
Therefore, the rate of change is -5/4.
4) Calculate the Rate of Change from the Table:Similar to what we did in question 3, choose two ordered pairs from the given table:
Let (x₁, y₁) = (0, -1)
(x₂, y₂) = (3, 8)
Substitute these values into the following slope formula:
m = (y₂ - y₁)/(x₂ - x₁)
[tex]m = \frac{8 - (-1)}{3 - 0}[/tex]
[tex]m = \frac{8 + 1 }{3}[/tex]
[tex]m = \frac{9}{3}[/tex]
m = 3
Therefore, the rate of change from the given table is 3.
6) Which linear function has the steepest slope?The positive-sloped lines whose rate of change has the highest value will have the steepest slope. For lines with negative slopes (downward-tilting lines), the highest absolute value for its rate of change will have the steepest negative slope.
Hence, the linear function with the steepest slope is #4 because the value of y changes by 3 units for every unit of change in x values.
7) Graph the equation: y = -6x - 4:The linear equation, y = -6x - 4, where the slope, m = -6, and the y-intercept is (0, -4).
To graph this equation, start by plotting the y-intercept. Then, use the slope, m = -6/1 (down 6 units, run 1 unit to the right) to plot other points on the graph. In doing so, your next graph should occur at point, (1, -10). Connect the two points to create a line that will represent the given equation, y = -6x - 4.Technically, two points are sufficient enough to connect and create a line with. Please see the attached screenshot of the graph for y = -6x - 4.
8) Graph the following equation: 3x - 4y = 12The given linear equation is in its standard form, Ax + By = C. It is easier to graph when the equation is in its slope-intercept form, y = mx + b.
In order to transform the given standard equation to slope-intercept form, start by subtracting 3x from both sides:
3x - 4y = 12
3x -3x - 4y = -3x + 12
-4y = -3x + 12
Divide both sides by -4 to isolate y:
[tex]\frac{-4y}{-4} = \frac{-3x + 12}{-4}[/tex]
y = ¾x - 3 ⇒ This is the slope-intercept form where the slope, m = ¾, and the y-intercept is (0, -3).
Graph:Similar to how we graphed the equation from question 7, start by plotting the y-intercept (0, -3) on the graph. Then, use the slope, m = ¾ (3 units up, 4 units run), to plot other points on the graph. Your next point occurs at the x-intercept, (4, 0). The x-intercept is the point on the graph where it crosses the x-axis. Connect the two points to create a line that will represent the given equation, 3x - 4y = 12.
Please see the attached screenshot of the graph for 3x - 4y = 12.
Emily says that the negative sign means opposite of, so -(-45) means the opposite of negative 45, which is 45. Is Emily correct?
Answer: Yes, No Submit ·
Step-by-step explanation:
P = (x < x <5)
List the element of this set given
Set x<5 = sagutan mo apapapdifuv
The equation P=4s represents the perimeter P of a square with side length s. What is the perimeter of a square with a side length of 5ft ?
The perimeter is.
Answer:
20 feet
Step-by-step explanation:
s= side
P= 4s
I our case, s is 4, so 4*5 is 20.
Hence,
P=20
Hope this helps!
which points of concurrency are always inside the triangle?
Answer: The centroid is the point of concurrency of the three medians in a triangle. It is the center of mass (center of gravity) and therefore is always located within the triangle.
Perpendicular bisectors: acute/right/obtuse …… ...
Construction: Location of Point of Concurrency
Explanation: The point of concurrency is the point where three or more lines, segments, or rays intersect forming a point. Out of the four namely the Centroid, Incenter, Circumcenter, and Orthocenter, only the Centroid and Incenter is always located inside the triangle.
Centroid: where the medians intersect.
Incenter: where the angle bisectors intersect.
Step-by-step explanation. Hope this helps lol!
write down, all the multiples of 8 less than 80
Answer:
The multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, and 72.
Answer:
8, 16, 24, 32, 40, 48, 56, 64, 72
Step-by-step explanation:
8, 16, 24, 32, 40, 48, 56, 64, 72
find the slope and y interceptof y=10x -1/3
with steps ( quick )
Answer:
slope = 10 , y- intercept = - [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 10x - [tex]\frac{1}{3}[/tex] ← is in slope- intercept form
with slope m = 10 and y- intercept c = - [tex]\frac{1}{3}[/tex]
What to do after combining terms?
Answer: I might be wrong but...
x = 2 1/3
Step-by-step explanation:
1 1/4x + 3 = 4 3/4 + 1/2x
- 1/2x -1/2x
3/4x + 3 = 4 3/4
- 3 - 3
3/4x = 1 3/4
3/4x / 3/4 = 7/4 / 3/4
x = 2 1/3
Please help…I will award brainliest!
Answer:
y = - 3x + 15
Which is the better buy in each problem??
Answer:
1 - quarts of juice for 5.82 (the first one)
2 - 9.84 for a 12 pack of batteries (the second one)
3 - 24-pack of pencils for 2.64 (the first one)
4 - $2.46 for a 12-ounce jar of jam (the first one)
Step-by-step explanation:
Have a nice day
2 X a =11+11 ayudaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
2 × a = 11 + 11 ---> 2a = 22 ---> a = 22/2 = 11
Follow me and hope it helps #The spirit of learning
4.) Mr. Lakey is a taxi cab driver. He earns $5.00 hour plus tips. One week he works 40
hours, receiving $287 in tips. Find his weekly gross income.
Answer:
87
Step-by-step explanation:
earning rate (R) = $5/hr
total (T) = $287
time (t) = 40 hr
tips = T - Rt
= $287 - $5*40
$87
From a point on the ground 12 ft. from the base of a flagpole, the angle of elevation of the top of the pole measures 53°. How tall is the flagpole
Answer:
4.75 feet
Step-by-step explanation:
Let the height of the flagpole be x
Sin 53 = x/12
x = 12 × Sin 53
x = 12 × 0.3959
x = 4.75 feet
Answer:
15.9
Step-by-step explanation:
The 12 ft is the adjacent side and you are trying to find the opposite side or the height of the flagpole. You use Tan. Lowercase x means multiply.
Tan 53 = X
--------
12
To get rid of the 12 multiply both sides of the equation by 12. so
Tan 53 x 12 = X/12 x 12
Tan 53 x 12= X
X= 15.9
SIMPLE INTEREST:
Jessie deposited P150,000 in an account that pays 3% simple interest.How much interest will he earn after 10 years?
Answer:
use the formula( I=PTR/100)
Isabelle ran a distance of about 26 miles during a marathon. In other countries, kilometers is used to measure length. There are approximately 8 kilometers in 5 miles.
Which measurement is closest to the number of kilometers Isabell ran?
Answer
A
16.3 kilometers.
B
41.6 kilometers.
C
7.2 kilometers.
D
53.5 kilometers.
Answer:
Step-by-step explanation:
b
can someone help me please i need to get this right
Answer:
If there are 2 quarters for every 3 nickels,
then there are [tex]45*\frac{2}{3} =30[/tex] quarters.
If there are 2 dimes for every quarter,
then there are [tex]30*2=60[/tex] dimes.
If the number of pennies and nickels together are equal to the number of dimes, then there are [tex]60-45=15[/tex] pennies.
Does 2/3 +3/4 + 1/5 = 1 37/60? Why or why not?
Answer:
97 / 60 is what 2/3 + 3/4 + 1/5 comes
They also come to 1 37/60
Step-by-step explanation:
1 37/60 = 97/60 Does it?
Result = 2/3 + 3/4 + 1/5
The common denominator is 3 * 4 * 5 = 60, so that much is true.
2/3 = 40/60
3/4 = 45/60
1/5 = 12 / 60
When you add these three together, the numerator is 40 + 45 + 12 = 97
So the answer is correct.
The population of the United States was 308,745,538 in 2011. There
were 18,801,310 people in Florida and 9,883,640 people in Michigan.
Compute the probability that a randomly selected US resident in 2011
was living in Florida. Do the same for Michigan. Which is greater?
Step-by-step explanation:
Given:
Total population: 308745538People in Florida: 18801310People in Michigan: 9883640Probabilities:
P(F) = People in Florida / Total = 18801310/308745538*100% = 6.09% P(M) = People in Michigan /Total = 9883640/308745538*100% = 3.20%As we see from the probabilities, there is almost twice difference between Florida and Michigan residents.
Dan bought 1/8 of a pound of iellybeans and 7/8
pound Of gummy bears. How much candy did he buy?
Answer:
1 pound or 8/8
Step-by-step explanation:
1/8 + 7/8 = 8/8 or 1 pound
The slope of the line that passes through the points (0,3) and (5,13) is
Answer: The slope is 2
Step-by-step explanation:
The slope is the Rise (the change in y) over the Run (the change in x).
We can calculate the Rise and Run from the two given points:
(0.3) and (5,13)
Rise = (13 - 3) = 10
Run = (5 - 0) = 5
Rise/Run = 10/5 = 2: the slope is 2.
The equation for this line is y = 2x + b. The y-intercept, b [from the general form y=mx+b (where m is the slope)] is the value of y when x=0. The point (0,3) says y=3 when x=0, so b = 3.
y = 2x + 3.
the sum of 2 numbers is 99 and their quotient is 8What are the 2 numbers
Answer:
11 and 88
Step-by-step explanation:
I just set up a system of equations:
x + y = 99,
x/y = 8
I decided to use the method of substitution which is expressing one variable in terms of the other and substituting it into the other equation.
To use substitution, I changed the second equation to:
x = 8y
And then, I substituted that value for x into the first equation:
8y + y = 99
And that means:
9y = 99
Hence, y = 11. To find the second number, just substitute 11 for y in the first equation to get:
x + 11 = 99
And that means x = 88.
-1/5 x 15/16 get 70 pts if u answer thisss tysmmm<3
Answer:
[tex]\frac{-3}{16}[/tex]
Step-by-step explanation:
[tex]\frac{-1}{5}[/tex] × [tex]\frac{15}{16}[/tex]
=> [tex]\frac{-15}{80}[/tex]
=> [tex]\frac{-3}{16}[/tex]
Hoped this helped.
please is for today and fast
Answer:
slope= [tex]\frac{2}{3}[/tex] or 0.6
y-intercept= -1
y= 0.6x+ -1
Step-by-step explanation:
slope= [tex]\frac{rise}{run}[/tex]
the y-intercept is where the line crosses the y axis
the equation for a line is y=mx+b where m is slope and b is y
Answer:
Slope: 1.5
Y-intercept: (0,-1)
Equation of the line: y=1.5x-1
Step-by-step explanation:
Slope=
change of y/change of x=
3/2 (or 1.5)
Equation of the line:
y=1.5x+b
-1=1.5(0)+b
-1=b
y=1.5x-1
someone plz help me!!!!!!!!!!!!!!
Step-by-step explanation:
In the given set of questions regarding the concept of division, it is important to understand the parts of a division problem.
Definitions:In a division problem such as 15 ÷ 3 = 5:
15 represents the dividend, which is the number being divided into groups. 3 represents the divisor, which is the number of groups that divides the dividend. 5 represents the quotient, which is the result of dividing the dividend and the divisor. Solution:Now that we have defined the parts of a division problem, we can proceed to matching the division problems to its corresponding representation of equal groups.
1.) 15 ÷ 3 = 5 ⇒ "There are 5 equal groups of 3."
If you multiply the quotient, 5, by the divisor, 3, it results in the dividend: 5 × 3 = 15. This occurs because multiplication is the opposite mathematical operation of division.
2.) 45 ÷ 5 = 9 ⇒ "There are 9 equal groups of 5."
9 equal groups of 5 = 9 × 5 = 45.
3.) 8 ÷ 4 = 2 ⇒ "There are 4 equal groups of 2."
4 equal groups of 2 = 4 × 2 = 8.
4.) 18 ÷ 6 = 3 ⇒ "There are 3 equal groups of 6."
3 equal groups of 6 = 3 × 6 = 18.
Kayla wants to create a right triangle with side lengths 16 millimeters, 30 millimeters, and 34 millimeters. Is this possible? Why or why not?
A- no, because 16+30 is not equal to 34
B- no, because 16 squared + 30 squared is not equal to 34 squared
C- yes, because 16 squared +30 squared is equal to 34 squared
D- yes, because 16+30 is greater than 34
Answer:
C
Step-by-step explanation:
16² = 256
30² = 900
256 + 900 = 1156
34² = 1156
Answer: C
Answer:
B: No, because 16 squared plus 30 squared is not equal to 34 squared
Step-by-step explanation:
So if she wants to make a right triangle that would look like this
| \
| \
30mm | \ 34mm
| \
|_______\
16mm
Which would make the Pythagorean theorem look like this
16^2 + 30^2 = 34^2
265 + 900 = 1156
1165 = 1156
So you answer would be B
7. Which three lengths could be the lengths of the sides of a triangle
O 11 cm, 11 cm, 24 cm
O 18 cm, 12 cm, 9 cm
O9 cm,
19 cm,
10 cm
O4 cm, 7 cm, 23 cm
The sum of the lengths of two sides of a triangle cannot be less than the length of the third side.
So,
3.9cm, 19cm, 10cm
I need help..............
Explanation:
The commutative property of addition is A+B = B+A. We can add two numbers in any order. For example: 2+3 = 3+2 since both sides result in 5.
The idea applies to fractions as well. In choice D, the fractions 3/5 and 2/3 swap places so that we can group the 1/3 and 2/3. From there, the 1/3 and 2/3 combine to 1 and that's how we end up with the mixed number 1 & 3/5.
Company X tried selling widgets at various prices to see how much profit they would
make. The following table shows the widget selling price, x, and the total profit
earned at that price, y. Write a quadratic regression equation for this set of data,
rounding all coefficients to the nearest tenth. Using this equation, find the profit, to
the nearest dollar, for a selling price of 14.25 dollars.
Regression equations are used to represent the relationship between the x and y variables.
The quadratic regression equation is [tex]\mathbf{y =-6.407 X^2 +216.721 X -975.561}[/tex]The profit for a selling price of $14.25 is $812To determine the quadratic regression equation, we make use of a graphic calculator
Using a graphing calculator, we have the quadratic regression equation to be [tex]\mathbf{y =-6.407 X^2 +216.721 X -975.561}[/tex]
When the selling price is $14.25, it means that:
[tex]\mathbf{x = 14.25}[/tex]
So, we have:
[tex]\mathbf{y =-6.407 \times 14.25^2 +216.721 \times 14.25 -975.561}[/tex]
Evaluate the exponents
[tex]\mathbf{y =-6.407 \times 203.0625+216.721 \times 14.25 -975.561}[/tex]
Evaluate the products
[tex]\mathbf{y =-1301.0214375+3088.27425 -975.561}[/tex]
Evaluate like terms
[tex]\mathbf{y =811.6918125}[/tex]
Approximate to the nearest dollar
[tex]\mathbf{y =812}[/tex]
Hence, the profit for a selling price of $14.25 is $812
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