Answer:
Yes
Step-by-step explanation:
A recent study found that 2.56% of college graduates were unemployed and 5.35% of high school graduates (with no college degree) were unemployed. The study surveyed 586 college graduates and 467 high school graduates. Construct a 95% confidence interval for the difference of the proportion of unemployed college graduates minus the proportion of unemployed high school graduates.
Using the z-distribution, as we are working with a proportion, it is found that the 95% confidence interval for the difference of the proportions is (-0.052, -0.0038).
What is the mean and the standard error of the distribution of differences?For each sample, the mean and the standard error are given by:
[tex]p_C = 0.0256, s_C = \sqrt{\frac{0.0256(0.9744)}{586}} = 0.0065[/tex]
[tex]p_H = 0.0535, s_H = \sqrt{\frac{0.0535(0.9465)}{467}} = 0.0104[/tex]
Hence, for the distribution of differences, the mean and the standard error are given by:
[tex]p = p_C - p_H = 0.0256 - 0.0535 = -0.0279[/tex]
[tex]s = \sqrt{s_C^2 + s_H^2} = \sqrt{0.0065^2 + 0.0104^2} = 0.0123[/tex]
What is the confidence interval?It is given by:
[tex]p \pm zs[/tex]
In which z is the critical value.
95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
Then, the bounds of the interval are given as follows:
[tex]p - zs = -0.0279 - 1.96(0.0123) = -0.052[/tex]
[tex]p + zs = -0.0279 + 1.96(0.0123) = -0.0038[/tex]
The 95% confidence interval for the difference of the proportions is (-0.052, -0.0038).
More can be learned about the z-distribution at https://brainly.com/question/25890103
PLEASE HELP MEWhich equation can represent the graph
A. Y=-x^2-4
B. Y= -x^2+4
C. Y=x^2+4
D.y=x^2-4
Answer:
y = - x^2 + 4
which agrees with answer B
Step-by-step explanation:
Notice the graph is that of a quadratic function centered on the y-axis, with negative leading coefficient (branches of the parabola pointing down), and with vertex on the y-axis at the point (0, 4).
Therefore its equation is best represented by:
y = - x^2 + 4
which also crosses the x axis at the points x = -2 and x= 2, in agreement with the graph.
Answer:
B. y = - x²+4
Step-by-step explanation:
I used a calculator to check.
how do u write an equation in slope intercept form to describe a graph
Answer:
y= mx+b BRAINLIEST PLEASE
Step-by-step explanation:
A line and a point ____ intersect
Answer: does
Step-by-step explanation:
What is 30/12 written as a mixed number?
The perimeter of a triangle is 50 mm. The lengths of 2 of the sides are 13.5 mm and 14.5 mm. Find the missing length.
(GIVING BRAINLIYEST)
7. what is the volume of these 2 objects
figure #1
smaller part
4x7x2= 56m
larger part
4x3x7= 84m
84+56= 140m³
figure #2
smaller part
2x4x3= 24m
larger part
4x4x12= 192m
192+24= 216in³
What is the circumference and area of this circle? (Use 3.14 for pi)
Answer:
100.531km
Step-by-step explanation:
Pn= 14 ao=6
Please help me
creo que es 231 en total :7-2:al 231
Find the length of x.
a. 33.8
b. 48.3
c. 84.3
d. 72.0
The population of a certain species of insect is given by a differentiable function P, where P(t) is the number of insects in the population, in millions, at time t, where t is measured in days. When the environmental conditions are right, the population increases with respect to time at a rate that is directly proportional to the population. Starting August 15, the conditions were favorable and the population began increasing. On August 20, five days later, there were an estimated 10 million insects and the population was increasing at a rate of 2 million insects per day. Which of the following is a differential equation that models this situation?
a. P=2(t−5)+10
b. dP/dt=2/5t
c. dP/dt=1/5P
d. dP/dt=5P
Answer:
c. dP/dt = (1/5)P
Step-by-step explanation:
Given that the rate of change of population with respect to time dP/dt is directly proportional to the population, P, we have
dP/dt ∝ P
dP/dt = kP
Given that dP/dt = 2 million insects per day and P = 10 million insects after 5 days, So,
2 = k × 10
k = 2/10
k = 1/5
So, dP/dt = kP
dP/dt = (1/5)P
The option C is correct
DifferentiationThe rate of change of a function with respect to the given variable.
How to get the option?The rate of change of population with respect to time is directly proportional to the population P. We have
[tex]\dfrac{\mathrm{d} P}{\mathrm{d} t} \propto P\\\\\dfrac{\mathrm{d} P}{\mathrm{d} t} = kP[/tex]
[tex]\dfrac{\mathrm{d} P}{\mathrm{d} t}[/tex] is 2 million insects per day and P = 10 million insects after 5 days. So
[tex]\begin{aligned} \dfrac{\mathrm{d} P}{\mathrm{d} t} &= kP\\2 &= 10k\\k &= \dfrac{1}{5} \\\end{aligned}[/tex]
Then
[tex]\dfrac{\mathrm{d} P}{\mathrm{d} t} = kP\\\\ \dfrac{\mathrm{d} P}{\mathrm{d} t} = \dfrac{1}{5} P[/tex]
Thus, option C is correct.
More about the Differentiation link is given below.
https://brainly.com/question/24062595
Please help on this math question.
Will be marked as BRAINLEST!
Answer:
20
Step-by-step explanation:
[tex]25 \times 25 - 15 \times 15 = 400[/tex]
[tex] \sqrt{400} = 20[/tex]
Answer:
b=√400
=20
Step-by-step explanation:
15^2+b^2=25^2
225 + b^2=625
b^2=625-225
b^2=400
b=√400
b=20
Percent of change
Find the Percent of decrease for the following problems:
1. Chad played three hours of Pokémon Go per day during the summer. Since
school began, he is only allowed to play one hour per day.
2. Karen has 7 Eevees in her Pokémon stash. She transferred some in to the
Professor and now only has 2 Eevees.
3. It takes 200 coins to get a bag upgrade in Pokémon Go. The creators
decided to throw a sale on bag upgrades. For one day only, anybody can
upgrade their bag for 125 coins.
Answer:
1. 33%
2. 28
3. 62.5
Step-by-step explanation:
what is the slope of the line passing through the points (2,5) and (-1,-4)? show all work.
Answer:
3
Step-by-step explanation:
[tex]\frac{y_{1} - y_{2}}{x_{1} - x_{2}} = \frac{9}{3} = 3[/tex]
enter the value x that makes the equation
Answer:
x=-192
Step-by-step explanation:
simplyfying we get
2/3x-4= 3/4x+12
so subratcing 2/3 on both sides we get
-4= 9x/12- 8x/12+12
subtracting 12 from both sides we get
-16= x/12
x= -192
if my answer helps please mark as brainliest
Find the slope of the graphed line below. Help please!
Answer:
3,4
Step-by-step explanation:
up 3 and right 4. your welcome
integers are positive and negative whole numbers, they do not include positive and negative fractions or decimals?
true or false? help pleasee
1.Write an equation in point slope form given a point (-5,2) and slope 3/5
Question 2
Write an equation in slope intercept form given a slope -5 and y intercept as (0,-4)
Answer:
1. y - 2 = (3/5) (x + 5)
2. y = -5x - 4
Step-by-step explanation:
Slope form - y1 - y = m (x1 - x)
Slope intercept - y = mx + b
Jen sells flowers. She charges $2 per flower plug a $3 flat delivery fee. What is a linear equation that can represent the cost of buying x amount of flowers and includes the one time delivery charge? ( Y = mx + b )
Answer:
y=2x+3
Step-by-step explanation:
the 2 is the coefficient so everytime you add a new flower the amount will go up by 2 dollars and the $3 delivery fee is a one time fee so you only add it one time.
PLS HELP ME!!! FIND X
Answer:
17.5
Step-by-step explanation:
Those angles are supplementary, in other words, they add up to 180°
To solve you set the expressions up to 180:
(5x - 30) + 7x = 180
12x - 30 = 180
12x = 210
x = 17.5
00:00 At the beginning of the month, Kimberly had $65.78. Since then, she has received three payments of $32.50 from her babysitting job. Kimberly's 2 sisters each helped her babysit once during the month, so Kimberly paid them each $8.75. If Kimberly did not spend any money, how much money does she have now? Enter your answer in the box.
While working a summer job, London earned $182 in 7 hours. Find the
rate of change.
Answer:
31hr
Step-by-step explanation:
are any of you in the 9th grade and good with math? 2 (x2 - 3) + x (x - 7)
Answer:
[tex]3x^{2} - 7x - 6[/tex]
Step-by-step explanation:
[tex]2x^{2} - 6 + x^{2} - 7x[/tex]
[tex]3x^{2} - 7x - 6[/tex]
In APQR, PR is extended through point R to point S, m_PQR = (2x + 1)º,
mZQRS = (10x – 10°, and mZRPQ = (3x + 14)°. What is the value of
x?
Answer:
I’m doing i-Ready and my question hasn’t been answered
Step-by-step explanation:
What is the value of (0.5)^4 in a fraction
Answer:
12.5%
Step-by-step explanation:
hope it helps!!!
A farmer wants to build a rectangular pen using 20 feet of fencing, but the length is to be 4 feet more than the width. What is the length of the pen, in feet?
Answer:
The length of the rectangular pen is 40ft. The width of the rectangular pen is 20ft
Answer:
7ft
Step-by-step explanation:
2W+2L=20
2(W+L)=20
2(W+(W+4))=20
4W+8=20
4W=12
W=3
or
If 20 is the total length of fencing used, the length of the fence is to be 4 ft longer than the width, and we know this is a rectangular pen (meaning it has 4 sides), we first multiply 4 (the additional ft for the length side) by two to get 8. Next we subtract 8 from the total amount of fencing (20) to get 12. Finally, since we know there are 4 sides to a rectangle, we divide 12 by 4 to get the width. Now since the length is 4 ft longer than the width, and we are looking for the length, then we add 3+4 to equal 7.
7 is the length.
The length of a rectangular painting is 3 inches longer than its width. If the diagonal is 15 inches long, what is the length of the painting?
A 9 inches
В. 12 inches
C. 13 inches
D. 18 inches
Answer:
Step-by-step explanation:
Pls help will mark brainlest
Answer:
15 bags
Step-by-step explanation:
She can fill 5 bags per each pound (because there are 5 [tex]\frac{1}{5}ths[/tex] per pound)
Since there are 3 pounds, and , again, each pound can fill 5 bags, she will need 15 bags.
Another way too look at it is to ask how many 1/5ths are in 3 pounds. To find this answer mathematically:
3 ÷ 1/5 = 15 because when we divide by a fraction, we need to flip it and then multiply (so 3 ÷ 1/5 is actually 3×5)
Can someone please help me with this spinner problem it contains 4 questions? I’m having a hard time on this! :(
Answer:
a) P(odd) = 1/2
b) P(multiple of 3) = 1/4
c) P(not 5, 6, 7) = 5/8
d) P(n < 4) = 3/8
Step-by-step explanation:
a) half of the numbers on the spinner are odd
b) there are 2 multiples of 3 (3 and 6)
c) not 5,6,7 means P(1,2,3,4,8) which is 5/8
d) P(n < 4) = P(1,2,3) = 3/8
what will happen to the graph if the x intercept has an even multiplicity
Answer:
Graphical Behavior of Polynomials at x-Intercepts. ... The graph of a polynomial function will touch the x-axis at zeros with even multiplicities. The graph will cross the x-axis at zeros with odd multiplicities.