Answer and Step-by-step explanation:
To calculate a confidence interval for a proportion:
1) Determine the proportion
[tex]p=\frac{308}{500}[/tex]
p = 0.616
2) A 90% confidence interval has z-score that is 1.645.
3) Calculate margin of error
[tex]ME=\sqrt{\frac{p(1-p)}{n} }[/tex]
where
n is the sample size
So
[tex]ME=\sqrt{\frac{0.616(1-0.616)}{500} }[/tex]
[tex]ME=\sqrt{\frac{0.616(0.384)}{500} }[/tex]
ME = 0.02175
Then the interval is given by
p ± z(ME)
0.62 ± 1.645(0.02175)
0.62 ± 0.035
The interval will be
0.585 < p < 0.655
What this means is that we are 90% confident that the true proportion of Katy Perry's Twitter female followers is between 0.585 and 0.655.
Write an equation in slope-intercept form of the line that passes through the given points. 0,4 4,2
First, find the slope: m = Δy/Δx = (2-4)/(4-0) = -0.5
The "intercept" in the slope-intercept form of a line is the y-intercept. And at the y-intercept, x = 0. Conveniently, one of our points has an x = 0, i.e., the point (0,4). So, our equation would be y = -0.5x + 4.
If you wanted to double-check, you could use the point (4,2) to find the point-slope equation of the line and see if it matches up with the slope-intercept form above. Given a slope of -0.5 and a point (4,2), our point-slope equation would be y - 2 = -0.5(x - 4). If we expand this, we get y - 2 = -0.5x + 2. Solving for y, we obtain y = -0.5x + 4.
Thus, y = -0.5x + 4 would be our equation.
convert 18600 into km
Answer:
29933.7984 km
Step-by-step explanation:
Graph y=−4x+3 Please I really need help on it It.
Answer:
Download graphing calc it helps a lot <4
A skyrocket is launched from a 8-foot-high platform with an initial speed of 220 feet per second. The polynomial 16t^ ^ 2+220t+8 gives the height in feet that the skyrocket will rise in t seconds. How high will the rocket rise if it has a 7-second fuse?
The equation above is - 16t ^ 2 + 220t + 8
A) 748
B) 764
C) 788
D) 882
Given :
A skyrocket is launched from a 8-foot-high platform with an initial speed of 220 feet per second.
The polynomial -16t² + 220t + 8 gives the height in feet that the skyrocket will rise in t seconds.
To Find :
How high will the rocket rise if it has a 7-second fuse?
Solution :
Since, it is given that the rocket has a fuse time of 7 seconds.
Putting value of 7 sec in given equation, we get :
Height = -16×( 7 )² + 220×( 7 ) + 8
Height = 764 m
Therefore, height of rocket in 7 second fuse is 764 m.
2(x-5) = 4x-2 (x+5)+1
Step-by-step explanation:
=>2(x-5)=4x-2(x+5)+1
=>2x+10=4x-2x-10+1
=>2x+10-4x+2x+10-1=0
=>4x-4x+20-1=0
=>
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your question is wrong.......
what type of angle is ABC help
Answer:
it is a right angle
Step-by-step explanation:
25+65=90
90 degrees is a right angle
EIGHTH GRADE MATH PLEASE HELP!!
1. Tickets to the fair cost $7 for children and $14 for adults. On Wednesday, 178 people enter the fair and collected $1848. What number of children and what number of adults attended?
2. Tickets to the fair cost $5 for children and $11 for adults. On Tuesday, 164 people enter the fair and collected $1270. What number of children and what number of adults attended?
Answer:
1, is So this means the answer is 81 children and 96 adults.
2, 250 $5 tickets and 100 $11 tickets were sold
Step-by-step explanation:
--- To solve this, you can use quadratics. x + y = 177 and 4x + 11y = 1380 are the equations to solve for x and y. 177 is the total amount of people who entered the fair, and 1380 is the total money earned. x is the amount of children entered, while y is the amount of adults entered. If we were to do 4(x + y = 177), the equation would become 4x + 4y = 708. Then, we minus the 2 equations together, eliminating the x so we can solve for y. So, the final equation is 7y = 672, meaning y = 96. If we bring this into the first equation, x + y = 177, we can find that x = 81.
Please answer this. ASAP. I will give a crown to helpful answer.
Sam invests £1800 in the bank for four
years.
It earns compound interest of 4% each year.
Calculate the total amount Sam has in the
bank at the end of four years (£ round to
2 dp).
Answer:
£2088
or
US$ 2,536.48 dollars (2021)
Step-by-step explanation:
4% of 1800 = 72
72 x 4 = 288
1800 + 288 = 2088
He has £2088 at the bank after 4 year
La suma entre 1,3 y su inverso
Answer:
bbvfvnjjggfx
ghjjggffcvvvchjvvnbb
El número decimal 1,3 lo expresamos en fracción como 13/10
El inverso de esa fracción es otra fracción pero los números de arriba y abajo se intercambian
→ El inverso de 13/10 es 10/13
Ahora hacemos la suma
[tex] \frac{13}{10} + \frac{10}{13} [/tex]
[tex] \frac{13\cdot 13+ 10 \cdot 10}{10\cdot 13}[/tex]
[tex] \frac{169+ 100}{130}[/tex]
[tex] \boxed{\frac{269}{130}}[/tex]
El valor decimal
[tex] \boxed{2,0\overline{692307}} [/tex]
Ursula surveyed 50 classmates about their favorite ice cream flavors. Each classmate chose one flavor. The results are shown in the circle graph.
How many more of Ursula's classmates chose chocolate than chose vanilla?
A. 8
B. 6
C. 34
D. 16
Answer:
A
Step-by-step explanation:
8
Answer:
8
Step-by-step explanation:
Find the percent: 50 x 0.42 minus 50 x 0.26 because you find 26 by adding the known and subtracting from 100.
Answer 21-13=8
What is 7/10 x 5/8?
Give your answer in its simplest form.
Solve the system by graphing.
y = −x + 3
y = −3x − 1
The solution of the system
Answer:
A(-2,5)
x= -2 , y=5
Step-by-step explanation:
draw the lines for both equations and that will be by finding any points in the lines:
1. sub any value for x to find y in the equation (y=-x+3) :
When x=0 ⇒ y=-0+3, y=3 (the point is: (0,3)When x=1 ⇒ y= -1 +3 , y=2 (the point is: (1,2)When x=2 ⇒ y=-2+3, y=1 (the point is: (2,1)When x=-1 ⇒ y=-(-1)+3, y=4 (the point is: (-1,4)When x=-2 ⇒ y=-(-2)+3, y=5 (the point is: (-2,5)plot the points in the graph and match them to get the first line for equation(1).
2. sub any value for x to find y in the equation (y=-3x-1) :
When x=0 ⇒ y=-3(0)-1, y=-1 (the point is: (0,-1)When x=1 ⇒ y=-3(1)-1, y=-4 (the point is: (1,-4)When x=2 ⇒ y=-3(2)-1, y=-7 (the point is: (2,-7)When x=-1 ⇒ y=-3(-1)-1, y=2 (the point is: (-1,2)When x=-2 ⇒ y=-3(-2)-1, y=5 (the point is: (-2,5)Now again plot the points in the same graph and match them to get the second line for equation(2).
When you finish you will have two lines drawn in a graph, the solution will be were the two points intercept, and that will be:
A(-2,5)
x= -2 , y=5
(note: you can check your answer by subbing the value of x in both equations and you should get the answer 5 as the value of y)
Which of the following is an ordered pair on the graph? What does it represent in this situation?
(45, 90); the machine caps 45 bottles in 90 seconds.
(45, 900); the machine caps 45 bottles in 900 seconds.
(45, 900); the machine caps 900 bottles in 45 seconds.
(900, 45); the machine caps 900 bottles in 45 seconds.
Can you guys help me please
Answer:
a = 42
Step-by-step explanation:
2a + 16 + 80 = 2a + 96
2a + 96 = 180
2a = 84
a = 42
PLZ HELP ME PLEASE!!!!... WILL GIVE BRAINLIEST. THANKYOU!
Answer:
1) 0.5
2)-2
3)-23
Step-by-step explanation:
1) -3×1=-3
-3+2.5= 0.5
2) -3×1.5=-4.5
-4.5+2.5= -2
3) -3×8.5=-25.5
-25.5+2.5=-23
if 2 men and 3 boys can do a piece of work in 8 days whole 3 men and 4 boys will do it in:
A. 3 days
B. 4 days
C. 5 days
D. 6 days
Answer:
I think D. 6 days
Step-by-step explanation:
let me know if im wrong..
I'm Chloe can you help me, Thanks :)
Which ordered pair is the solution to the system of linear equations?
5x + y= -4
x =-y -2
Answer:
Hola losiento no se ablar inglés
Now use the expression found in Part C for the distance between your eyes and the object at point O, and find the ratio of the apparent distance to the real distance, d/D. Remember that the apparent distance is the distance calculated by your eyes using the angle θa instead of the angle θw. Since we are dealing with small angles, you may use the approximation sin(x)≈x and asin(x)≈x.
Answer:
Hello your question is incomplete attached below is the missing part of the question
answer : ( d / D ) = [tex]n_{a}[/tex]
[tex]n_{w}[/tex]
Step-by-step explanation:
Given data:
Apparent distance = distance calculated using angle ∅a
also applying the approximation ; sin(x) ≈ x and asin(x) ≈ x
Find the ratio of apparent distance to real distance (d / D )
Using the given data in the question the ratio of apparent distance to real distance ( d / D ) = [tex]n_{a}[/tex]
[tex]n_{w}[/tex]
where [tex]n_{a}[/tex] = index of refraction ( air )
[tex]n_{w}[/tex] = index of refraction ( water )
circle p has a raius of r and circle q has a radius twice as large. How many time greater is the area of circle q than the area of circle p
Answer:
4 times greater
Step-by-step explanation:
see attached picture
I am so confused, plz help! I will mark brainliest.
Answer:
-45
Step-by-step explanation:
i will mark brainliest!! i need help with 3 and 4
Graph the inequality in the coordinate plane y<1
The graph should include a shaded area to show y < 1
Answer:
picture
Step-by-step explanation:
Which of the following describes the way substances diffuse in and out of a cell?
A.Substances move from lesser to greater concentration.
B.Substances move back and forth across the membrane equally.
C.Substances move across the membrane when energy is available.
D.Substances move from greater to lesser concentration.
Answer please it would help me alot and thx
Answer:
Its D. Substances move greater to lesser concentration
In simple diffusion, small noncharged molecules or lipid soluble molecules pass between the phospholipids to enter or leave the cell, moving from areas of high concentration to areas of low concentration (they move down their concentration gradient). Oxygen and carbon dioxide and most lipids enter and leave cells by simple diffusion.
Have a nice day
Answer:
the answer is D.
Step-by-step explanation:
im answering so the other person can get brainliest :)
☁️☁️☁️☁️☁️☁️
rate her 1-10 for a study
Answer:
100,000,000,000,000,000
Find the quadratic polynomial whose zeroes are (5+ √2 ) and (5 - √2 ).
Hello can i please have help on this question thank you
Answer:
[tex] y = \frac {1}{2}x +2[/tex]
Step-by-step explanation:
Line is passing through the points (0, 2) & (2, 3)
Slope of line = (3 - 2)/(2 - 0) = 1/2
Equation of line in point slope form is given as:
y - 2 = 1/2(x - 0)
2(y - 2) = x
2y - 4 = x
2y = x + 4
[tex] y = \frac {1}{2}x +\frac {4}{2}[/tex]
[tex] y = \frac {1}{2}x +2[/tex]
is the required equation of blue line.
Answer:
2y-4 =x
Rearranged as:
2y = x + 4
x = 2y - 4
y = x/2 +4
Attachment given below:
Any helppp pLeAsE? T^T
answer:
c = 7.6 kilometers
step-by-step explanation:
you can use the pythagorean theorem for this since this is a right triangleknow the formula: a^2 + b^2 = c^2now plug in what we know, also remember:
a = legb = the other legc = hypotenusea^2 + b^2 = c^2
3^2 + 7^2 = c^2
9 + 49 = c^2
58 = c^2
c = 7.6157
rounded: c = 7.6 kilometers
Write a rational expression that is equal to the following rational expression when x does not equal 1 or -5
4(x-1)/(x-1)(x+5)
will give brainliest pls answer quick and good
Point P is the centroid of △LMN. Find PN and QP. QN=42
The diagram of the triangle is missing, so i have attached it.
Answer:
PN = 28
QP = 14
Step-by-step explanation:
We are told that QN = 42
Since P is the centroid, by inspection we can see that;
PN = ⅔QN
Thus, PN = ⅔ × 42
PN = 28
Also, we see that PN + QP = QN
Thus;
28 + QP = 42
QP = 42 - 28
QP = 14
Following are the calculation on the PN and QP:
Mp, Lp, and NQ are indeed the central lines of a large briangle MNL, according the problem. Particles entersect at point P.This is referred to as a baryc enter of a friangle.And has the quality Np= 2PQ, therefore we can obtain it.[tex]Np = \frac{2}{3} QN\\\\ PQ = \frac{1}{3} QN \\\\NP=\frac{2}{3} \times 42= 28 \\\\PQ= \frac{1}{3} \times 42 = 14 \\\\[/tex]
When you are aware, the point p is indeed the barycenter of a large triangle, and this is an important trait.Learn more:
brainly.com/question/80336
