Answer:
Step-by-step explanation:
This is a test of 2 independent groups. The population standard deviations are not known. Let μemployed(μ1) be the sample mean of students who are employed and μnot employed(μ2) be the sample mean of students who are not employed
The random variable is μ1 - μ2 = difference in the mean of the employed and unemployed students.
We would set up the hypothesis.
The null hypothesis is
H0 : μ1 = μ2 H0 : μ1 - μ2 = 0
The alternative hypothesis is
H1 : μ1 < μ2 H1 : μ1 - μ2 < 0
Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is
(μ1 - μ2)/√(s1²/n1 + s2²/n2)
From the information given,
μ1 = 3.22
μ2 = 3.33
s1 = 0.475
s2 = 0.524
n1 = 172
n2 = 116
t = (3.22 - 3.33)/√(0.475²/172 + 0.524²/116)
t = - 1.81
The formula for determining the degree of freedom is
df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²
df = [0.475²/172 + 0.524²/116]²/[(1/172 - 1)(0.475²/172)² + (1/116 - 1)(0.524²/116)²] = 0.00001353363/0.00000005878
df = 230
We would determine the probability value from the t test calculator. It becomes
p value = 0.036
Since alpha, 0.05 > than the p value, 0.036, then we would reject the null hypothesis.
Therefore, at a 5% significant level, this information support the hypothesis that for students at this university, those who are not employed have a higher mean GPA than those who are employed
What is the value of LaTeX: 4^{-3}
4
−
3
?
Answer:
1/64
Step-by-step explanation:
[tex]4^{-3}=\dfrac{1}{4^3}=\dfrac{1}{4\cdot 4\cdot 4}=\boxed{\dfrac{1}{64}}[/tex]
Answer:
13
Step-by-step explanation:
=4^-3 . 4 - 3
= 4^-3+1 -3
= 4^-2 -3
= 16-3
= 13
David is preparing a report to show
Answer:
cool?
who's david den
Step-by-step explanation:
Answer:
He shoud use a table or chart.
Step-by-step explanation:
I answered this question before
The length of a rectangle is seven less than twice the length of its width. If the area of the rectangle is 15 square meters, find the value of x.
Answer:
Length is 3 meters and the Width is 5 meters
Step-by-step explanation:
L*W=15
L=2W-7
(2W-7)W=15
[tex]2W^{2} -7W=15\\2W^{2} -7W-15=0[/tex]
(2W+3)(W-5)=0, don't use (2W+3)=0, because it gives you a negative dimension.
W=5, L=3
how do i solve 4/5 divided by 3/4
what is the answer please help
Answer:16/15 or 1 1/15
Step-by-step explanation:
4/5 ➗ 3/4
4/5 x 4/3
(4 x 4) ➗ (5 x 3)
16 ➗ 15=16/15 or 1 1/15
The teacher decides that no student can win twice, so she removes the tickets of the first winner before drawing the second winner. What is the probability that she draws Kitzen first and then Ava second? Use a / to represent a fraction bar.
Answer:
3/4
Step-by-step explanation:
Take Kitzen's number of raffle tickets and put them over Ava's tickets to give you 12/16 and the simplify which gives you 3/4 because the fraction is divisible by 4.
Translate to an equation, then solve.
Nineteen less than eight times a number is equal to 11 more than six times the number. What is the number?
Answer:
Step-by-step explanation:
8x - 19 = 6x +11
2x - 19 = 11
2x = 30
x = 15
Answer:
c
Step-by-step explanation:
PLS HELP ASAP !!!! Giving brainlist!
First one (on the left) is 2) associative property because we are regrouping terms or re-associating them based on the parenthesis. Think of the parenthesis like a tent or a house that separates off the stuff outside. First 27 and 36 are grouped, then we move the parenthesis so that 52 and 27 are grouped now.
Second one (on the right) is 1) commutative. The commutative multiplication property says we can multiply two numbers in any order. For example, 4*9 = 36 and 9*4 = 36. The 4 and 9 swap places. In this problem, the 3 and 4x swap places. The use of parenthesis isn't necessary, though it is sometimes used to imply multiplication.
Answer:
1) Associative property
2) Commutative property
Jenna has 131 dog biscuits. She wants to give them as gifts to each of her 4 poodles. How many biscuits does each poodles get? (Assume each gets the same number of biscuits.)
Answer:
32
Step-by-step explanation:
you just have to divide 131/4 to get 32.75 but they all have to be equal
Division is one of the four fundamental arithmetic operations. The number of biscuits that each of the four poodles will get is 32.75.
What is Division?The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that Jenna has a total of 131 dog biscuits, she also has 4 poodles. Therefore, the number of biscuits she should give to each of her poodles can be found by dividing the total number of biscuits by the number of poodles she has.
Thus, the number of biscuits she should give to each of her poodles is,
Number of biscuits each poodle gets
= Number of biscuits / Number of poodles
= 131 / 4
= 32.75
Hence, the number of biscuits that each of the four poodles will get is 32.75.
Learn more about Division here:
https://brainly.com/question/369266
#SPJ5
Help timed test! At which root does the graph...
Answer:
x = -2
Step-by-step explanation:
The way you can tell if the graph is going to cross the x-axis or just touch the x-axis is by looking at the power of the factor.
(x - 5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.
(x + 2)^2 has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.
To find where it will touch the axis set the factor equal to zero and solve.
(x + 2) = 0
subtract 2 from both sides
x = -2
lan ran 24 laps in a charity run and then walked 0.2 kilometer to the presentation table the total; distance lan traveled was 29.6 kilometer what was the distance of each lap explain how you solve the problem
Answer:
Step-by-step explanation:
1.225km is equal to each laps
Step-by-step explanation:
Since Kristy total distance traveled = 29.6km
And Kristy ran 24 laps and later walk 0.2km. it simply implies that
Total distance traveled = distance covered running + distance covered walking
Since we know that
Total distance traveled = 29.6km
distance covered running = 24 laps
distance covered walking = 0.2km
Distance covered running in km = total distance traveled - distance covered walking
Distance covered running in km = 29.6km - 0.2km = 29.4km.
To now find the distance for each lap.
Since we have:
Distance covered running in km = 29.4km.
Distance covered running in lap = 24 laps
i.e
24 laps = 29.4km
1 lap = x
Use cross-multiple
24 laps * x = 29.4km × 1 lap
x = 29.4km / 24
x = 1.225km
Therefore
1.225km is equal to each laps.
Answer:1.225km is equal to each laps
Step-by-step explanation:
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
C. x=2 ± √13
Explanation:
The graph of the invertible function f is shown on the grid below.
What is the value of f -1(6)?
We have been given graph of function [tex]y=f(x)[/tex]. We are asked to find the value of [tex]f^{-1}(6)[/tex] from the graph of [tex]y=f(x)[/tex].
We know that to find an inverse function is a function that reverses another function. A function f(x) gives an output of y, when we input some value of x. The inverse of f(x) will give the same value of x from value of y.
So to find inverse of a function we need to switch all x and y values.
We can see that [tex]f(4)=6[/tex], so to to find value of [tex]f^{-1}(6)[/tex], we have to switch x and y values.
After switching x and y values, we will get:
[tex]f^{-1}(6)=4[/tex]
Therefore, [tex]f^{-1}(6)=4[/tex].
Answer:
4
Step-by-step explanation:
Which of the following relations represents y as a function of x?
A. {(2,2), (2,3), (2,4), (2,5)}
B. {(0,1), (-7,1), (0,6), (8,1)}
C. {(2,6), (3,6), (5,-2), (3,8)}
D. {(1,2), (2,3), (5,3), (7,9)}
Answer:
The correct answer is D
Step-by-step explanation:
In a function, none of the x values in the set can be repeating. D is the only option that meets this requirement.
If r(x) = 3x -1 and s(x) = 2x + 1, which is equivalent to [r/s] (6)?
[tex]\text{Solve by turning it into a fraction and plugging in the value to x:}\\\\\frac{3x-1}{2x+1}\\\\\frac{3(6)-1}{2(6)+1}\\\\\frac{18-1}{12+1}\\\\\frac{17}{13}\\\\\text{You can't simplify the fraction any further, in which it'll conclude your answer}\\\\\boxed{\frac{17}{13}}[/tex]
Tell whether the events are DEPENDENT or INDEPENDENT.
You roll number cube and select a card from a standard deck of cards.
Event A: You roll a 3.
Event B: You select a face card.
Answer:
event A is dependent on event B since roll 3 will result if you select a face card
PLEASE HELP WITH THIS EASY MATH QUESTION!! it’s down below!!!!
Answer:
22
Step-by-step explanation:
=x(x+22)
Answer:
The answer is 22
What do you add to the cost of one frozen yogurt to get the cost of two frozen yogurt?
Answer:
You add another Frozen yogurt...
Answer:
You just add it again or multiply it by 2.
Step-by-step explanation:
For example, if the frozen yogurt cost $3.50, you would add it again or multiply it by 2. 3.50 + 3.50 = $7.00
There are 12 inches in 1 foot. Write 75 inches in feet and inches
Answer:6.25
Step-by-step explanation:
What Is the product of the polynomials below? (7x^2+2x+4)(2x+5)
Answer:
14x^3+39x^2+18x+20
Step-by-step explanation:
Answer:14x^3+39x^2+18x+20
Step-by-step explanation:
(7x^2+2x+4)(2x+5)
14x^3+35x^2+4x^2+10x+8x+20
Add like terms
14x^3+39x^2+18x+20
Let the process of getting through undergraduate school be a homogeneous Markov process with time unit one year. The states are Freshman, Sophomore, Junior, Senior, Graduated, and Dropout. Your class (Freshman through Graduated) can only stay the same or increase by one step, but you can drop out at any time before graduation. You cannot drop back in. The probability of a Freshman being promoted in a given year is .8; of a Sophomore, .85; of a Junior, .9, and of a Senior graduating is .95. The probability of a Freshman dropping out is .10, of a Sophomore, .07; of a Junior, .04; and of a Senior, .02.
1. Construct the Markov transition matrix for this process.
2. If we were more realistic, and allowed for students dropping back in, this would no
longer be a Markov process. Why not?
3. Construct the Markov transition matrix for what happens to students in four years.
What is the probability that a student who starts out as a Junior will graduate in that
time?
Answer:
sorry dont know
Step-by-step explanation:
Please Help Now!!!!!!!!!!!!!
Answer:
94
Step-by-step explanation:the sum of thereprobablityin fraction is
1/9+5/6=2+15/18 {{takin LCM OF 6 and 9}
=17/18
probablity in percentage =17/18×100
=94%
hope this helps
plz mark me brainliest
Answer:
95
Step-by-step explanation:
What is the disciminant of 3x^2-10x=-2
Answer:
76
Step-by-step explanation:
First get the equation into the form
ax^2 +bx+c =0
3x^2-10x+2=-2+2
3x^2-10x+2 =0
The discriminant is
b^2 -4ac where a=3 b = -10 c =2
(-10)^2 - 4(3)(2)
100 - 24
76
Many demographers predict that the United States will have zero population growth in the coming decades, in contrast to the historical average population growth of about 1 percent per year. Use the Solow model to forecast the effect of this slowdown in population growth on the growth of total output and the growth of output per person. Consider the effects both in the steady state and in the transition between steady states.
Answer:
Check the explanation
Step-by-step explanation:
Other things being constant, a slowdown in population growth will lead to an increase in the availability of capital per worker and output per worker.
At the steady state, output per worker will grow at the rate of g while. Thus, steady state per person output growth will be same, however total output will increase at the rate n+g.
In case of transition between steady states, during the transition phase, output per worker will grow at a rate greater than g. Overtime in the long run with a fall in population growth, total output will fall while output per worker will increase.
Which expression is equivalent to 2(3x − 1.75) − 3(1.5x − 2.5)?
Answer:
1.5x+4
Step-by-step explanation:
Step-by-step explanation:
Step 1: Distribute
[tex]2(3x - 1.75) - 3(1.5x - 2.5)[/tex]
[tex](2 * 3x) + (2 * -1.75) + (-3 * 1.5x) + (-3 * -2.5)[/tex]
[tex](6x) + (-3.5) + (-4.5x) + (7.5)[/tex]
Step 2: Combine like terms
[tex](6x - 4.5x) + (7.5 - 3.5)[/tex]
[tex]1.5x + 4[/tex]
Answer: [tex]1.5x + 4[/tex]
Which set of statements about the angles is true? Angle 1 is congruent to angle 6, angle 2 is congruent to angle 4, angle 3 is congruent to angle 5 Angle 1 is congruent to angle 5, angle 2 is congruent to angle 4, angle 3 is congruent to angle 6 Angle 6 is congruent to angle 2, angle 5 is congruent to angle 4, angle 1 is congruent to angle 3 Angle 6 is congruent to angle 1, angle 3 is congruent to angle 2, angle 4 is congruent to angle 5
Answer:
Angle 1 is congruent to angle 5(alternate angles)
Angle 2 to 4(alternate angles)
And
Angle 3 is congruent to 6 (vertical angles)
Answer:
Angle 1 is congruent to angle 5(alternate angles)
Angle 2 to 4(alternate angles)
Angle 3 is congruent to 6 (vertical angles)
Step-by-step explanation:
What is 9/40 as a percentage
Answer:
22.5%
Step-by-step explanation:
find the value of x in the triangle shown below
Answer:
..........
Step-by-step explanation:
x + 114 + 33 = 180
x= 33
What is the volume of this rectangular prism?
Answer:
8/125 = 0.064
Step-by-step explanation:
(2/5)*(2/5)*(2/5)=8/125
If a zero is
then the graph of its function only touches the x-axis at that zero.
Ifa zero is
then the graph of its function crosses the x-axis at that zero.
Answer: The first one is of even multiplicity and the second one is of odd multiplicity.
Answer:
even
odd
Step-by-step explanation:
100 POINTS
PLEASE PROVIDE STEPS.
THANK YOU!!!
Answer:
2/π
h(x) is concave up on the intervals (-∞, -1/√3) and (1/√3, ∞).
h(x) is concave down on the interval (-1/√3, 1/√3).
Step-by-step explanation:
f(x) = sin x
The average value of a function between x=a and x=b is:
avg = 1/(b−a) ∫ₐᵇ f(x) dx
avg = 1/(π−0) ∫₀ᵖⁱ sin x dx
avg = 1/π (-cos x) |₀ᵖⁱ
avg = 1/π (-cos π − (-cos 0))
avg = 1/π (1 + 1)
avg = 2/π
h(x) = x⁴/12 − x²/6
Find the second derivative.
h'(x) = x³/3 − x/3
h"(x) = x² − ⅓
Factor using difference of squares.
h"(x) = (x − 1/√3) (x + 1/√3)
h"(x) = 0 when x = ±1/√3. Evaluate the sign of h"(x) in each interval.
-∞ < x < -1/√3, h"(x) > 0.
-1/√3 < x < 1/√3, h"(x) < 0.
1/√3 < x < ∞, h"(x) > 0.
h(x) is concave up on the intervals (-∞, -1/√3) and (1/√3, ∞).
h(x) is concave down on the interval (-1/√3, 1/√3).
Answer:
2/π
h(x) is concave up on the intervals (-∞, -1/√3) and (1/√3, ∞).
h(x) is concave down on the interval (-1/√3, 1/√3).
Step-by-step explanation:
