Answer:
a) [tex]n=\frac{0.5(1-0.5)}{(\frac{0.02}{2.58})^2}=4160.25[/tex]
And rounded up we have that n=4161
b) [tex]n=\frac{0.96(1-0.96)}{(\frac{0.02}{2.58})^2}=639.01[/tex]
And rounded up we have that n=640
Step-by-step explanation:
Part a
The confidence level is 99% , our significance level would be given by [tex]\alpha=1-0.99=0.01[/tex] and [tex]\alpha/2 =0.005[/tex]. And the critical value would be given by:
[tex]z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58[/tex]
The margin of error for the proportion interval is given by this formula:
[tex] ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex] (a)
And on this case we have that [tex]ME =\pm 0.02[/tex] and we are interested in order to find the value of n, if we solve n from equation (a) we got:
[tex]n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}[/tex] (b)
Since we don't have prior info for the true proportion we can use [tex]\hat p=0.5[/tex]. And replacing into equation (b) the values from part a we got:
[tex]n=\frac{0.5(1-0.5)}{(\frac{0.02}{2.58})^2}=4160.25[/tex]
And rounded up we have that n=4161
Part b
For this case we have a prior estimation ofr the proportion:
[tex] \hat p=0.96[/tex]
And replacing we got:
[tex]n=\frac{0.96(1-0.96)}{(\frac{0.02}{2.58})^2}=639.01[/tex]
And rounded up we have that n=640
G = 3t2 - 5t + 6
P = -8t2 + 7t - 9
G + P =
Your answer should be a polynomial in standard form.
Answer:
-5t^2+2t-3
Step-by-step explanation:
A sphere has a diameter of 8 cm. Which statements about the sphere are true? Check all that apply.
The sphere has a radius of 4 cm.
The sphere has a radius of 16 cm.
The diameter's length is twice the length of the radius.
The radius's length is twice the length of the diameter.
2048
The volume of the sphere is
3
cm.
256
The volume of the sphere is
cm?
Plzzz help
Answer:
first is true
second is false
third is true
fourth is false
the last few questions about the volume are a little choppy, but the correct volume is 268cm³.
Step-by-step explanation:
hope this helps<<3
» Which expression is not equal to 30?
|(120 : 20) x (2+3)
(9 x 10) : (4 + 1) +12
(2 x 60 : 30) x (24 + 2)
2 + (30 - 8:4)
Answer:
Only expression that's not equal to 30 is option 3 which is; (2 x 60 : 30) x (24 + 2)
Step-by-step explanation:
We want to find which of the expression is not equal to 30.
1) (120 : 20) x (2+3)
Using BODMAS, we will solve the brackets first. So, we have;
(120/20) × 5
Note that a ratio implies division.
So, we have;
6 x 5 = 30
2) (9 x 10) : (4 + 1) + 12
Again, using BODMAS, solve the brackets first.
90 : 5 + 12
Ratio symbol is division and so it come before addition in BODMAS.
So, we have;
(90/5) + 12 = 18 + 12 = 30
3) (2 x 60 : 30) x (24 + 2)
Again, using BODMAS, solve the brackets first.
In the first bracket, we'll use division first before multiplication.
(2 x 60/30) x (26) =
2 x 2 x 26 = 104
4) 2 + (30 - 8:4)
Again, using BODMAS, solve the brackets first.
In the second bracket, division goes first. So,
2 + (30 - 8/4) = 2 + (30 - 2) = 2 + 28 = 30
So the only expression that's not equal to 30 is option 3 which is; (2 x 60 : 30) x (24 + 2)
What is the slope and the y-intercept of the line on the graph below?
Answer:
I love you sweetheart I want to look and love you
Answer:
slope- 1/4
y intercept- 1
If (x + 8) is a factor of f(x), which of the following must be true?
GOF
Both x = 8 and x = 8 are roots of f(x).
Neither x = -8 nor x = 8 is a root of f(x).
F-8) = 0
f(8) = 0
Answer:
f(-8) = 0Step-by-step explanation:
If (x+8) is a factor of f(x), then for some expression p, we have ...
f(x) = (x+8)p
Evaluated at x=-8, this gives ...
f(-8) = (-8+8)p = 0p
f(-8) = 0 . . . . must be true
_____
Similarly, f(8) = (8+8)p = 16p. This may or may not be zero, depending on the factors of p. The only offered statement that must be true is the one shown above.
Answer:
F-8)= 0 hope this helps!!!!!
Step-by-step explanation:
Using coordinates in proofs 2
Simplify QP
Answer:
First Slot is B and the second slot is A
Step-by-step explanation:
B is in the x coordinate
A is in the y coordinate
And when you look at the formula it should make sense ;D
ASAP! ALGEBRA 1! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! No guessing. Show your work or give an explaination.
Answer:
The first one is B because it does pass the vertical line test... (there is no explanation because it does pass the line test)
the second one is D or B... I don't know which one but there you go!!
I tried!!!
Step-by-step explanation:
I want brainliest
Which ordered pair would form a proportional relationship with the points in the graph? (4, 4) (6, 9) (9, 6) (8, 5)
Answer:the answer is 9,6
Step-by-step explanation:
I JUST TOOK THE QUIZ
Answer:
C (9,6) did it on edge
Use substitution to solve the system of equation. 2x+2y=8 x+y=-2
Answer:
Step-by-step explanation:
find the value of y in the second equation
x + y = -2,
but y = -2-x as well
so take the value that we have found for (x) into the first equation
2x + 2(-2-x)= 8
-2x + -4-2x = 8
-4x-4=8
-4x = 12
x=-3,
now just substitute x value into either equation
x + y =-2
-3 + y = -2
y =1
Dada la siguiente ecuación y= 4x +3
Graficar la ecuación (Utilice tabla)
Encontrar la pendiente de la ecuación (utilice la siguiente fórmula m=(y_2y_1)/(x_2-x_1 ))
Encontrar el ángulo de inclinación (utilice la siguiente fórmula α=arc tanm)
Dada la siguiente ecuación y= -4x -2
Graficar la ecuación (Utilice tabla)
Encontrar la pendiente de la ecuación (utilice la siguiente fórmula m=(y_2y_1)/(x_2-x_1 ))
Encontrar el ángulo de inclinación (utilice la siguiente fórmula α=arc tanm)
Answer:
The given equation is
[tex]y=4x+3[/tex]
To graph this equation, we need to create a table for all the coordinates pairs.
X Y
0 3
-3/4 0
So, we have two points, (0,3) and (-3/4, 0). Now, we graph them to draw a straight line as the image attached shows.
To find the slope, we use those points.
[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }=\frac{0-3}{-\frac{3}{4} -0} =\frac{-3}{-\frac{3}{4} }\\ m=4[/tex]
So, the slope is 4.
The angle of inclination is found by the formula
[tex]tan \theta = m[/tex]
Where [tex]\theta[/tex] is the angle and [tex]m[/tex] is the slope.
[tex]\theta = tan^{-1}(4) \approx 76\°[/tex]
Therefore, the angle of inclination is 76°, approximately.
Please answer this correctly
Answer:
The answer is 19.
Step-by-step explanation:
Because the 10 is 6 more than the 4, we subtract 6 from 25 (because they said that they were similar).
What is the approximate area of the shaded sector in the circle shown below
A. 283 cm
B. 31.4cm2
C. 565cm2
D. 15.7 cm2
Answer:
Option A. 283 cm²
Step-by-step explanation:
to find the area of the shaded sector, we use the formula:
[tex]\frac{\text{angle given}}{360^\circ}\times \text{area of the circle}[/tex]
where area of the circle = πr²
∴ for the given circle,
[tex]\text{Area of the sector}=\frac{\text{given angle}}{360^\circ} \times \pi r^2[/tex]
= [tex]\frac{100}{360}\times 3.14\times 18\times 18[/tex]
= [tex]\frac{100}{360}\times 1017.36[/tex]
= 282.6
≈ 283 cm²
The approximate area of the shaded sector is 283 cm².
The jar shown below is 2/5 filled with water. If 750 ml more water is poured into the jar, it becomes full. What is the capacity of the jar?
2/5 is the fraction 2/5
Plz answer fast with easy explanation
Answer:
1250 ml
Step-by-step explanation:
Answer:
I’m glad you asked!
Step-by-step explanation:
2/5 + 750 ml equals the full jar amount or capacity.750/ 3 equals 250.That makes 150 the denominator.Now we just need to multiply 250 by 5.
[tex]250 x 5 = 1250.[/tex]
Igor and sally both ran the same distance. Igor completed the distance in 2 hours. His average speed was 6 miles per hour. Sally completed the distance in 4 hours. What was Sally’s average speed for the journey give your answer in mph
Answer:
Sally ran an average of 3 mph
Step-by-step explanation:
If Igor's average speed was 6mph and he completed the distance in 2 hours and Sally completed it in 4 hours that means that she took twice as long as Igor and Igor's 6mph divided by two is 3, so Sally went an average of 3 mph
If the triangle's sides are a base that is 4 inches, a height that is 3 inches, and the other side that is 5 inches, what is the area of that triangle?
Answer:
6 in ^2
Step-by-step explanation:
divide side lengths by two and add those numbers
What’s the correct answer for this questions?
Answer:
B = 6√10
Step-by-step explanation:
In the attached file
Here are ten numbers
3 ,7,2,4,7,5,7,1,8,8
(a) write down the mode
(b) Work out the median
(c) Calculate the mean
(d) What is the range ?
Answer:
Mode:7
Median:2
Mean:5.2
Range:7
Step-by-step explanation:
see the picture attached
The mode of the given series is 7, the median of the given series is 5 and 7, the mean of the given series is 5.2, and the range of the given series is 7.
Given :
Numbers -- 3, 7, 2, 4, 7, 5, 7, 1, 8, 8
a) Mode is the number that repeats in the series maximum time. Therefore, the mode of the given series is 7.
b) The median of the given series is 5 and 7.
c) The formula of mean is used in order to determine the mean of the given series.
[tex]{\rm Mean} = \dfrac{3+7+2+4+7+5+7+1+8+8}{10}[/tex]
[tex]\rm Mean = \dfrac{52}{10}[/tex]
[tex]\rm Mean = 5.2[/tex]
d) The range of the given series is calculated as:
[tex]\rm Range = 8-1[/tex]
[tex]\rm Range = 7[/tex]
For more information, refer to the link given below:
https://brainly.com/question/300591
Felix calcutaed the area of a triangle with a base of 3 inches and a height of 1.5 inches Edith calculated the area of aa trapezoid with a height of 2 inches and parallel beaded of 4 inches and 6 inches their work is shown below what error did they both make in this work
Answer:
C), they didn't multiply by one half
Step-by-step explanation:
just did it on edge
Answer:
The answer is C
Step-by-step explanation:
If G is the midpoint of
FH,
find FG.
Answer:
15
Step-by-step explanation:
15 is the answer because i looked it up
The required value of segment FG is 67 if G is the midpoint of FH.
What is a Line Segment?A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.
The figure given below shows a line segment FH, where the length of line segment FHrefers to the distance between its endpoints, F and H.
Given that G is the midpoint of FH
FG = 14x + 25 and GH= 73 - 2x,
To determine the value of FG
F______________G______________H
⇒ FH= FG+ GH
Since G is the midpoint of FH, SoFG = GH
⇒ FH = FG+ GH
⇒ FH = 2FG
⇒ FG = GH
Substitute the values of FG = 14x + 25 and GH = 73 - 2x,
⇒ 14x + 25 = 73 - 2x
⇒ 14x + 2x = 73 - 25
⇒ 16x = 48
⇒ x = 48/16
⇒ x = 3
Substitute the value of x = 3 in FG,
⇒ FG = 14x + 25
⇒ FG = 14(3) +25
⇒ FG = 67
Hence, the required value of segment FG is 67 if G is the midpoint of FH.
Learn more about the line segment here:
brainly.com/question/25727583
#SPJ2
The question seems to be incomplete the correct question would be
If G is the midpoint of FH,
find FG.
Where FG = 14x + 25 and GH= 73 - 2x,
Write equations for the horizontal and vertical lines passing through the point , (4,5).
Answer:
Answer is below
Step-by-step explanation:
The equation for the horizontal line is x = 4. The equation for the vertical line is y = 5.
I graphed the lines on the graph below to show you that they intersect at the point (4,5).
If these answers are correct, please make me Brainliest!
A recipe calls for 33 teaspoons orange juice. A can of orange juice is 17 fluid ounces. How many teaspoons of juice are in the can?
Answer:
102
Step-by-step explanation:
1 fluid ounce = 6 teaspoons
3/4 + ( 1/3 divided by 1/6 ) - (-1/2)
Answer:
3.25
Step-by-step explanation:
What is the equation of the line that passes through (4, 2) and is parallel to 3x - 2y = -6?
A.
3
y=--x+8
2
B.
3
y = -x-4
2
C.
y = -X
2
D.
2
y = -x-4
3
Answer:
Unfortunately I can't read your answer options properly. The copied text is just too messed up. But hopefully the step-by-step calculation will help you.
Lemme know if it worked for you and if you have further questions.
Step-by-step explanation:
3x - 2y = -6
can be rewritten as
2y = 3x + 6
or simpler
y = 1.5x + 3
we know that it's parallel to this line, but we don't know how much lower or higher the new line will be, so let's set "+3" as an unknown variable.
y = 1.5x + b
(the letter b is now what we try to solve for)
now let's plug in the x-/y-Informations of the given point
2 = 1.5 * 4 + b
2 = 6 + b
-4 = b
so the new line is
y = 1.5x -4
(the given point lies on that line and it's parallel to the other line)
let's multiply everything by two to get closer to the original format
2y = 3x -8
it could also be expressed as
2y = -(-3x+8)
(in hope that this may help for choosing an answer option)
please clean up the text of questions before posting next time
(would really appreciate the brainliest)
If A and B are independent events and P (A) and P(B) are both greater than 1/2 then P(A and B) is Greater than 1.
Answer:
Step-by-step explanation:
no
as
P(A∩B)=P(A)×P(B)
and P(A)>1/2
also
P(A)≤1
similarly P(B)>1/2
and
P(B)≤1
P(A)×P(B)≤1
so P(A and B) not greater than 1
PLEASEeEeEeEeEeEeeEeEeEeEeEeEeEeEeEeEeeeEeEeEeEeEeEeEeEeEEEeee
ANSWER NOW
Answer:
a
Step-by-step explanation:
Anyone can solve this
Find the distance between the points (-2, 3) and (5, -1). Round to the nearest
tenth.
Answer:
8.062258
Step-by-step explanation:
d = 8.062258
For:
(-2, 3)
(5, -1)
Distance Equation Solution:
d=√(5−(−2))2+(−1−3)2
d=√(7)2+(−4)2
d=√49+16
d=6–√5
I belive the answer is
d=8.062258
A hiker is told to carry 2 cups of water for every 10 minutes spent walking. The hiker plans to hike for 60 minutes. How many cups of water should the hiker carry?
Answer:
12
Step-by-step explanation:
2 x 6 = 12
The number of cups of water the hiker should carry is 12 cups.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, a hiker is told to carry 2 cups of water for every 10 minutes spent walking.
Now, number of cups of water carry for 1 minute
= 2/10
= 0.2 cups
The number of cups of water carry for 60 minutes
= 0.2×60
= 12 cups
Therefore, the number of cups of water the hiker should carry is 12 cups.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ3
a culture started with 3000 bacteria. After 5 hours it grew to 3900 bacteria. Predict how many will be present after 9 hours
Answer:
4811
Step-by-step explanation:
The multiplier in 5 hours is 3900/3000 = 1.3, so we can write the exponential growth function as ...
n(t) = (initial number)·(growth factor)^(t/(time for growth factor))
n(t) = 3000·1.3^(t/5)
Then the number present after 9 hours is ...
n(9) = 3000·(1.3^9/5) ≈ 4811
Answer:
4811
Step-by-step explanation:
FOR PLATO
Let a, b, and c be real numbers where ab*C0. Which of the following functions could represent the graph below?
AN
Answer:
A on ed
Step-by-step explanation:
If you double the lengths of a rectangle what can you say about the new area of it.
A: The area is half its original size
B: The area of the new rectangle is double its original size
C: The area of the new rectangle is four times it original size
D: The area of the new rectangle is eight times the original size.
Answer:
B
Step-by-step explanation:
because u increased it by 2x