The t-test might be more useful in actual practice when standard deviation or variance is unknown.
What is a t-test?The t-test is used to determine how the averages of various data sets differ from one another.
When variance is not provided, the T-test, a particular kind of parametric test, is used to determine how the means of two sets of data differ from one another. When variance is provided, the Z-test indicates a hypothesis test that determines whether the means of two datasets differ from one another.
Example of t-test: If you flip a coin 1,000 times, for instance, you can discover that the outcome is distributed normally over all trials.
Example of z-test: We are conducting research using information gathered from cohorts of students who have taken Elementary Statistics in the past.
T-tests are typically more suitable when addressing issues with small sample sizes, whereas z-tests are suitable for large sample sizes.
Using the t-test for an ordinal variable, their frequency is not even close to a normal distribution, and the arithmetic mean offers an unsuitable measure of location.
Because we frequently don't know the population standard deviation, Z-Tests have this drawback.
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6 numbers that have a median of 8 a mean of 9 and a range of 13?
Answer:
5,6,8,8,9,18
Step-by-step explanation:
...................
Do this for me x+y=6
Answer:
A = 8 ; B = 6 and C = 4
Step-by-step explanation:
(-2) + A = 6
A = 6 + 2
A = 8
0 + B = 6
B = 6
2 + C = 6
C = 6-2
C = 4
how many nonisomorphic spanning trees does each of these simple graphs have
The characteristics of a nonisomorphic spanning tree are:
One would have 3 vertices of degree 2 and 2 of degree 1, Another spanning tree would have one vertex of degree three, The third spanning tree would have one vertex of degree four.4What is Nonisomorphic?This refers to the quality of a group of things not having the same form and is popularly used in mathematics to show and make identifications of maths objects that are structurally well-defined.
Hence, we can see that your question is incomplete so I gave you a general overview of the topic for better understanding.
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Which graph is an example of a function whose parent function is y = StartRoot x EndRoot?
On a coordinate plane, a curve starts at (negative 1, negative 1) and then curves up and to the right into quadrant 1.
On a coordinate plane, a parabola has a vertex at (0, 1).
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = negative 1. One curved decreases from quadrant 2 into quadrant 1 and approaches y = 1. It crosses the y-axis at (0, 2). The other curve approaches y = 1 in quadrant 1 and then curves down and approaches y = negative 1 in quadrant 3. It crosses the x-axis at (negative 2, 0).
On a coordinate plane, a curve starts in quadrant 3 and then increases into quadrant 1. It crosses the y-axis at (0, negative 2) and crosses the x-axis at (1.5, 0).
Using translation concepts, the graph of a translated function of [tex]y = \sqrt{x}[/tex] is given by:
On a coordinate plane, a curve starts in quadrant 3 and then increases into quadrant 1. It crosses the y-axis at (0, negative 2) and crosses the x-axis at (1.5, 0).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
[tex]y = \sqrt{x}[/tex] starts at (0,0) and in it's entirety, is in quadrant 1. When it is shifted down and left, it will start on quadrant 3 and increase into quadrant 1, hence the correct option is given by:
On a coordinate plane, a curve starts in quadrant 3 and then increases into quadrant 1. It crosses the y-axis at (0, negative 2) and crosses the x-axis at (1.5, 0).
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Answer:
A
Step-by-step explanation:
I took it
Chords AC and BD intersect in circle O as shown in the diagram. Two of the angle measurements are marked. What is mL CED?
Answer:
By using the formulas of circle and geometry, we find that ∠CED = 65°.
Step-by-step explanation:
We know that the measure of the interior angle is the half sum of the arcs comprising it and its opposite, so
∠CED = 0.5 × (arc AB + arc CD)
See the attached figure with letters to better understand the problem
arc AB = 82° (by central angle)
arc CD = 48° (by central angle)
Substitute the values in the formula above
∠CED = 0.5 × (82° + 48°)
∠CED = 0.5 × 130°
∠CED = 65°
Therefore the answer is ∠CED = 65°
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Write x^2+5x-7 in the form (x+a)^2+b.
Answer: −x2+
5
x
=
7
Move
7
to the left side of the equation by subtracting it from both sides.
−
x
2
+
5
x
−
7
=
0
Once the quadratic is in standard form, the values of
a
,
b
, and
c
can be found.
a
x
2
+
b
x
+
c
Use the standard form of the equation to find
a
,
b
, and
c
for this quadratic.
a
=
−
1
,
b
=
5
,
c
=
−
7
Step-by-step explanation:
What is the inverse of this function?
f(x) = -√x +3₁ x ≥ −3
f-¹(x) =
2-
-
for x ≤
Answer:
f(x)^-1=x^2-3
Step-by-step explanation:
So I'm assuming you meant to include the 3 in the radical as well which would make sense given the domain restriction. To find the inverse you simply swap the x and y since the inverse function is when the domain and range are swapped.
[tex]y=-\sqrt{x+3}\\x=-\sqrt{y+3}\\-x=\sqrt{y+3}\\(-x)^2=y+3\\x^2-3=y\\f(x)^{-1}=x^2-3[/tex]
The __________ and the _________ are two of the most popular and useful methods of standardizing for size and comparing distributions.
The proportion and the median are two of the most popular and useful methods of standardizing for size and comparing distributions.
Methods of standardizationProportion is the fraction of favorable cases from the total number of cases. It is defined for both population and sample.
Median is defined as the numeric value separating the higher half of a sample, a population, or a probability distribution, from the lower half of it.
Therefore, the proportion and the median are two of the most popular and useful methods of standardizing for size and comparing distributions.
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A survey participant is randomly selected. Let F be the
event that the participant's first motor vehicle had four
cylinders and let C be the event that the participant's
first motor vehicle was a car. What is the value of PIF
The probability for event F or C is 0.80, or the value of the P(F or C) is 0.80 option (D) is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
The question is incomplete.
The complete question is:
Insurance company executives surveyed 200 young adults about their first motor vehicle. The results of the survey are given in the following two-way table(please refer to the attached picture)
A survey participant is randomly selected. Let F be the event that the participant’s first motor vehicle had four cylinders and let C be the event that the participant’s first motor vehicle was a car. What is the value of P(F or C)?
A) 0.59B) 0.68C) 0.71D) 0.80We have to find the value of P(F or C):
[tex]\rm P( F \ or \ C) = \dfrac{118+6+18+16+2}{118+6+18+16+12+20+2+6+2}[/tex]
[tex]\rm P( F \ or \ C) = \dfrac{160}{200}[/tex]
P(F or C) = 0.80
Thus, the probability for event F or C is 0.80, or the value of the P(F or C) is 0.80 option (D) is correct.
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A Triangle
36 cm
perimeter
square
=40cm
perimeter
put them both together
find the
perimeter?
Answer:
58 cm
Step-by-step explanation:
if both shapes are squares, then the perimeter must be divide by all 4 equal sides
36 / 4 = 9, so each side of the first shape is 9 cm
40 / 4 =10 , so each side of the second shape is 10 cm
by putting the shapes together two of the side seal 1 side of each shape but 10-9 is 1 so add all three sides of the rest of the shape,
so 9+ 9+ 9= 27, then the three side of the second shape,
so 10+ 10+ 10= 30, then that extra 1 cm of difference from the size difference when put together,
so 27+ 30+ 1= 58 cm
If f(x) = 2x - 6 and g(x) = x - 2x², find the value of f(2) + g(-3)
Answer:
-23
Step-by-step explanation:
f(2)= 2*2-6 = -2
g(-3)= -3-2*9 = -21
---> f(2)+G(-3)= -2-21 = -23
Answer: -23
Step-by-step explanation:
f(2) + g(-3) means that we will substitute 2 as x into the function f, and add that to -3 substituted as x into function g.
First, we will find the substituted and simplified values of these functions.
f(x) = 2x - 6
f(2) = 2(2) - 6
f(2) = -2
[tex]-----[/tex]
g(x) = x - 2x²
g(-3) = (-3) - 2(-3)²
g(-3) = -21
Lastly, we can add them.
f(2) + g(-3)
-2 + -21
-23
find the least nu,ber which is exactly divisible by 12 16 and 24
Answer:
The smallest number all three numbers can be divided by is 4.
Step-by-step explanation:
12/4=3
16/4=4
24/4=6
Hope this helps!
If not, I am sorry.
This probability distribution shows the
typical grade distribution for a Geometry
course with 35 students.
Grade
A B
C
D F
Frequency 5 10 15 3 2
Find the probability that a student earns a
Answer:
14.3%
Step-by-step explanation:
5 students got an A out of 35 total students. This means that the probability of students getting an A is 5/35 = 0.1428
The value of x must be greater than
0
1
3
7
Answer:
The value of x should be greater than 3.
Step-by-step explanation:
Given that,
The AB is 12 units.
The AC is 15 units.
We need to find the value of BC.
Based on the above information, the calculation is as follows:
As we know that
The sum of two sides length is always more than the 3rd one.
Based on this,
12 + 15 > x
x < 27
15 + x >12
x >-3
12 + x > 15
x >3
Question 13 (4 points) (05.03) Which of the following statements best describes the graph of -5x + 2y = 1? (4 points)
A) It is a curve joining the points (-5, 2), (2, 3), and (4, 1).
B)It is a curve joining the points (-1, -3), (-1, -3), and (1, 5).
C)It is a straight line joining the points (1, 3), (3, 8), and (-3, -7).
D)It is a straight line joining the points (4, -3), (-1, 2), and (-4, 5).
Answer:
C) straight line through (1, 3) ... (-3, -7)
Step-by-step explanation:
The linear equation will describe a straight line. The slope and general location of the line on a graph can be estimated from its x- and y-intercepts.
__
interceptsThe x-intercept is the value of x that satisfies the equation when y=0.
-5x +2·0 = 1
x = -1/5 . . . . . . divide by the coefficient of x
The y-intercept is the value of y that satisfies the equation when x=0.
-5·0 +2y = 1
y = 1/2 . . . . . . divide by the coefficient of y
nature of the graphThe intercept values mean the line crosses the positive y-axis and the negative x-axis. It will have a positive slope. Points on the line that have integer x- and y-coordinates will have coordinates that have the same sign.
Of the offered answer choices, A and B are eliminated because the graph is not a curve. D is eliminated because the suggested points have coordinates with opposite signs. The correct choice is C:
It is a straight line joining the points (1, 3), (3, 8), and (-3, -7)
Which length is equivalent to 12 yards?
Answer:
36 feet
Step-by-step explanation:
1 yard 3 feet
Which of the following is a ballistic stretching exercise?
A.
calf stretch
B.
arm circles
C.
yoga plow
D.
hurdle stretch
Answer:
B. Arm circles
Hope you have a great day :)
What are the solutions of 3x² + 14x + 16 = 0?
0 x=-₁-2
0 x = -2₁-²2/
0x = ²,2
0x=-₁2
X
Answer:
x = -2, -2
Step-by-step explanation:
3x² + 14x + 16 = 0
(3x+8) (x+2)
x = -8/3
x = -2
The solutions of the quadratic equation 3x² + 14x + 16 = 0 are x = -2 and x = -8/3.
To find the solutions of the quadratic equation 3x² + 14x + 16 = 0, we can use the quadratic formula.
The quadratic formula states that for an equation of the form ax² + bx + c = 0
The solutions for x can be found using the formula:
x = (-b ± √(b² - 4ac)) / (2a)
For the given equation 3x² + 14x + 16 = 0,
a = 3, b = 14, and c = 16.
Substituting these values into the quadratic formula, we get:
x = (-14 ± √(14² - 4.3.16)) / (2 × 3)
x = (-14 ± √(196 - 192)) / 6
x = (-14 ± √4) / 6
Now we have two possibilities for x:
x₁ = (-14 + √4) / 6
x₂ = (-14 - √4) / 6
Simplifying each expression:
x₁ = (-14 + 2) / 6
x₁ = -12 / 6
x₁ = -2
x₂ = (-14 - 2) / 6
x₂ = -16 / 6
x₂ = -8 / 3
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what is the area of the trapezium?
Answer:
156 cm²
Explanation:
This figure is a trapezium.
Formula of Area of Trapezium = 1/2 × (a + b) × height
Here given:
a = 9 cmb = 30 cmh = 8 cm==============
Area of trapezium: 1/2 × (9 + 30) × 8 = 156 cm²
Answer:
area of the trapezium is 156
Step-by-step explanation:
What is the value of x in the triangle?
Answer:
45 degree=√2/2
√2/2=12√2
we use criss-cross method
√2x/√ 2=12√2/√ 2
×=24
Step-by-step explanation:
if it confused you this is (/)is dividing
hope I helped
please mark me as brainlyst
Given: AD BC and ZBCD=
ZADC
Prove: DE CE
A
D
B
Correct! Assemble the next
statement.
Intro
Angles Segments Triangles Statements Reasons
ZADC
ZDEA
ZECD
Statements
✓ 1. ZDEA and ZCEB are
vertical angles
ZBCD
ZEDC
ZCBE
ZCEB
Reasons
1. def. of vertical angles
ZDAE
In the given triangle, it should be noted that ADC is the same as BCD due to SAS congruence.
How to illustrate the information?From the information given,
AD = BC
BCD = ADC.
This depicts the concept of SAS. In this case, the two-sided will be equivalent.
Also, it should be noted that DAC and CBD are equal according to the vertical angle theorem.
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Answer:
see picture ....
Step-by-step explanation:
Which data set could be represented by the boxplot shown? (1 point)
{0, 2, 3, 5, 8, 9, 10, 10, 12}
{2, 3, 3, 4, 5, 5, 8, 10, 10}
{2, 3, 4, 5, 5, 7, 7, 9, 10}
{2, 3, 4, 5, 5, 5, 8, 9, 10
The second data set represents the boxplot because in the box plot the measure of statistics is the same as the data set option second is correct.
What is the box and whisker plot?A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.
We have given a data set and a box plot shown in the picture.
From the boxplot we can see:
Minimum value = 2
Q1 = (2+4)/2 = 3
Median = (4+6)/2 = 5
Q3 = (8+10)/2 = 9
Maximum value = 10
The second data set:
{2, 3, 3, 4, 5, 5, 8, 10, 10}
Minimum value = 2
Q1 = (2+4)/2 = 3
Median = (4+6)/2 = 5
Q3 = (8+10)/2 = 9
Maximum value = 10
Thus, the second data set represents the boxplot because in the box plot the measure of statistics is the same as the data set option second is correct.
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A fuel tank is 1/6 full. When 2 gallons of gasoline are added, the tank becomes 1/4 full. What is the total fuel capacity of the tank in gallons?
Answer:
24 gallons
Step-by-step explanation:
Since the 2 gallons of gas increased the fill ratio from 1/6 to 1/4, we can find how much of the tank the 2 gallons filled by solving the equation 1/4 - 1/6 = 1/12. This means that each gallon of gas is 1/24th of the tank.
Thus, the tank has a fuel capacity of 24 gallons.
Answer:
24
Step-by-step explanation:
Let x be the total fuel capacity of the tank, in gallons.
Then from the given information
x/6 + 2 = x/4,
Multiplying both sides by 12 to remove the fractions, we get
2x + 24 = 3x so x = 24.
Therefore, the total fuel capacity of the tank is 24 gallons.
IMPORTANT, PLEASE HELP QUICKLY! 15 POINTS
Explain how to factor the expression q(x)=9x2−24x+16 to the expression q(x)=(3x−4)2 . You may show your work. Be sure to include a detailed explanation of your steps.
Answer:
Given function:
[tex]q(x)=9x^2-24x+16[/tex]
To factor a quadratic in the form [tex]ax^2+bx+c[/tex], find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex]:
[tex]ac=9 \cdot 16=144[/tex]
Two numbers that multiply to 144 and sum to -24 are: -12 and -12
Rewrite [tex]b[/tex] as the sum of these two numbers:
[tex]\implies q(x)=9x^2-12x-12x+16[/tex]
Factorize the first two terms and the last two terms separately:
[tex]\implies q(x)=3x(3x-4)-4(3x-4)[/tex]
Factor out the common term [tex](3x-4)[/tex]:
[tex]\implies q(x)=(3x-4)(3x-4)[/tex]
Therefore:
[tex]\implies q(x)=(3x-4)^2[/tex]
Do the fractions and convert to repeating or terminating decimal numbers?
It should be noted that 16/25 can be converted to a terminating decimal number is 0.64.
How to explain the fraction?
Do the fractions 6/7 and 16/25 convert to repeating or terminating decimal numbers.
In this case, 6/7 converts to repeating decimal numbers. You could represent it, so you don't have to repeat the decimals infinitely, by putting a bar over the repeating decimals like 0.857142 with a bar going over from the 8 to the 2.
Also, 16/25 can be converted to a terminating decimal number which is 0.64.
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A chocolate chip recipe that produces 30 cookies calls for 2 1/4 cups of flour. If the math club decides to make fifteen dozen cookies for a bake sale, how many cups of flour will they need?
Answer:
2 1/4
Step-by-step explanation:
In a group of 42 students, 9 study both Art and Biology.
10 study Biology but not Art.
7 study neither subject.
Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?
help asap
Use the distance formula to find the perimeter of the triangle below. Round you answer to the nearest hundredth.
Answer: The perimeter of this triangle is 13.47.
Step-by-step explanation:
First you should choose your first two points on the triangle that are on the same line. In this case I'll start with C = (3,3) and B = (8,6)[tex]d = \sqrt{(3 - 8)^2 + (3-6)^2}[/tex]
*Note: Keep X and Y consistent in the distance equation.
The distance for CB = 5.831
After finding this distance continue onto a new set of points to find a new length of the triangle, my second set of points will be A = (5,7) and B = (8,6) to find the length of AB.
[tex]d = \sqrt{(5 - 8)^2 + (7-6)^2}[/tex]
The distance for AB = 3.162
Now you're going to need to use your final to points, in this case for me A and C, and find the length of your final segment. So, I'll use point A = (5,7) and point C = (3,3).
[tex]d = \sqrt{(5 - 3)^2 + (7-3)^2}[/tex]
The distance for AC =4.472
Then find the perimeter by adding up the three side lengths.
AB + CB + AC = P
[tex]5.831 +3.162+4.472=13.465[/tex]
Finally, round 13.465 to the nearest hundredth, 13.47.
*Note: Make sure not to round your answer until the end of the problem to avoid less accurate or even wrong answers.
Six less than the product of
twice a number and ten is
twenty.
[tex]\text{First I'd recommend replacing the number with just n.}\\\text{Now, multiply this number by 2:: 2n}\\\text{Multiply 10 by it:: 2n*10}[/tex]
[tex]\rule{300}{1.7}[/tex]
[tex]\text{6 is subtracted from (2n*10):: (2n*10)-6}[/tex]
[tex]\text{This gives a total of 20}[/tex]
[tex]\rule{300}{1.7}[/tex]
[tex]\text{(2n*10)-6=20}[/tex]
PLEASE HELP FAST!!!
The measure of the angle of elevation from the ground to the top of the ladder is 68.73 degrees
Angle of elevation and depressionFrom the question given, we have the following parameters
Base of the building = 7feet
Height of the building = 18 feet
Required
angle of elevation
Using the SOH CAH TOA identity
tanФ = opp/adj
tanФ = 18/7
Ф = 68.73 degrees
Hence the measure of the angle of elevation from the ground to the top of the ladder is 68.73 degrees
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Question:
A ladder leans against a building. The top of the ladder reaches a point on the building, which is 18 feet above the ground. The foot of the ladder is 7 feet from the building. Find the measure of the angle of elevation from the ground to the top of the ladder.
